--- _id: '12767' abstract: - lang: eng text: "Several problems in planning and reactive synthesis can be reduced to the analysis of two-player quantitative graph games. Optimization is one form of analysis. We argue that in many cases it may be better to replace the optimization problem with the satisficing problem, where instead of searching for optimal solutions, the goal is to search for solutions that adhere to a given threshold bound.\r\nThis work defines and investigates the satisficing problem on a two-player graph game with the discounted-sum cost model. We show that while the satisficing problem can be solved using numerical methods just like the optimization problem, this approach does not render compelling benefits over optimization. When the discount factor is, however, an integer, we present another approach to satisficing, which is purely based on automata methods. We show that this approach is algorithmically more performant – both theoretically and empirically – and demonstrates the broader applicability of satisficing over optimization." acknowledgement: We thank anonymous reviewers for valuable inputs. This work is supported in part by NSF grant 2030859 to the CRA for the CIFellows Project, NSF grants IIS-1527668, CCF-1704883, IIS-1830549, the ERC CoG 863818 (ForM-SMArt), and an award from the Maryland Procurement Office. alternative_title: - LNCS article_processing_charge: No author: - first_name: Suguman full_name: Bansal, Suguman last_name: Bansal - first_name: Krishnendu full_name: Chatterjee, Krishnendu id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87 last_name: Chatterjee orcid: 0000-0002-4561-241X - first_name: Moshe Y. full_name: Vardi, Moshe Y. last_name: Vardi citation: ama: 'Bansal S, Chatterjee K, Vardi MY. On satisficing in quantitative games. In: 27th International Conference on Tools and Algorithms for the Construction and Analysis of Systems. Vol 12651. Springer Nature; 2021:20-37. doi:10.1007/978-3-030-72016-2' apa: 'Bansal, S., Chatterjee, K., & Vardi, M. Y. (2021). On satisficing in quantitative games. In 27th International Conference on Tools and Algorithms for the Construction and Analysis of Systems (Vol. 12651, pp. 20–37). Luxembourg City, Luxembourg: Springer Nature. https://doi.org/10.1007/978-3-030-72016-2' chicago: Bansal, Suguman, Krishnendu Chatterjee, and Moshe Y. Vardi. “On Satisficing in Quantitative Games.” In 27th International Conference on Tools and Algorithms for the Construction and Analysis of Systems, 12651:20–37. Springer Nature, 2021. https://doi.org/10.1007/978-3-030-72016-2. ieee: S. Bansal, K. Chatterjee, and M. Y. Vardi, “On satisficing in quantitative games,” in 27th International Conference on Tools and Algorithms for the Construction and Analysis of Systems, Luxembourg City, Luxembourg, 2021, vol. 12651, pp. 20–37. ista: 'Bansal S, Chatterjee K, Vardi MY. 2021. On satisficing in quantitative games. 27th International Conference on Tools and Algorithms for the Construction and Analysis of Systems. TACAS: Tools and Algorithms for the Construction and Analysis of Systems, LNCS, vol. 12651, 20–37.' mla: Bansal, Suguman, et al. “On Satisficing in Quantitative Games.” 27th International Conference on Tools and Algorithms for the Construction and Analysis of Systems, vol. 12651, Springer Nature, 2021, pp. 20–37, doi:10.1007/978-3-030-72016-2. short: S. Bansal, K. Chatterjee, M.Y. Vardi, in:, 27th International Conference on Tools and Algorithms for the Construction and Analysis of Systems, Springer Nature, 2021, pp. 20–37. conference: end_date: 2021-04-01 location: Luxembourg City, Luxembourg name: 'TACAS: Tools and Algorithms for the Construction and Analysis of Systems' start_date: 2021-03-27 date_created: 2023-03-26T22:01:09Z date_published: 2021-03-21T00:00:00Z date_updated: 2023-03-28T11:03:11Z day: '21' ddc: - '000' department: - _id: KrCh doi: 10.1007/978-3-030-72016-2 ec_funded: 1 external_id: arxiv: - '2101.02594' file: - access_level: open_access checksum: b020b78b23587ce7610b1aafb4e63438 content_type: application/pdf creator: dernst date_created: 2023-03-28T11:00:33Z date_updated: 2023-03-28T11:00:33Z file_id: '12777' file_name: 2021_LNCS_Bansal.pdf file_size: 747418 relation: main_file success: 1 file_date_updated: 2023-03-28T11:00:33Z has_accepted_license: '1' intvolume: ' 12651' language: - iso: eng license: https://creativecommons.org/licenses/by/4.0/ month: '03' oa: 1 oa_version: Published Version page: 20-37 project: - _id: 0599E47C-7A3F-11EA-A408-12923DDC885E call_identifier: H2020 grant_number: '863818' name: 'Formal Methods for Stochastic Models: Algorithms and Applications' publication: 27th International Conference on Tools and Algorithms for the Construction and Analysis of Systems publication_identifier: eissn: - 1611-3349 isbn: - '9783030720155' issn: - 0302-9743 publication_status: published publisher: Springer Nature quality_controlled: '1' scopus_import: '1' status: public title: On satisficing in quantitative games tmp: image: /images/cc_by.png legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0) short: CC BY (4.0) type: conference user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87 volume: 12651 year: '2021' ... --- _id: '10667' abstract: - lang: eng text: Bayesian neural networks (BNNs) place distributions over the weights of a neural network to model uncertainty in the data and the network's prediction. We consider the problem of verifying safety when running a Bayesian neural network policy in a feedback loop with infinite time horizon systems. Compared to the existing sampling-based approaches, which are inapplicable to the infinite time horizon setting, we train a separate deterministic neural network that serves as an infinite time horizon safety certificate. In particular, we show that the certificate network guarantees the safety of the system over a subset of the BNN weight posterior's support. Our method first computes a safe weight set and then alters the BNN's weight posterior to reject samples outside this set. Moreover, we show how to extend our approach to a safe-exploration reinforcement learning setting, in order to avoid unsafe trajectories during the training of the policy. We evaluate our approach on a series of reinforcement learning benchmarks, including non-Lyapunovian safety specifications. acknowledgement: This research was supported in part by the Austrian Science Fund (FWF) under grant Z211-N23 (Wittgenstein Award), ERC CoG 863818 (FoRM-SMArt), and the European Union’s Horizon 2020 research and innovation programme under the Marie Skłodowska-Curie Grant Agreement No. 665385. alternative_title: - ' Advances in Neural Information Processing Systems' article_processing_charge: No author: - first_name: Mathias full_name: Lechner, Mathias id: 3DC22916-F248-11E8-B48F-1D18A9856A87 last_name: Lechner - first_name: Ðorđe full_name: Žikelić, Ðorđe last_name: Žikelić - first_name: Krishnendu full_name: Chatterjee, Krishnendu id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87 last_name: Chatterjee orcid: 0000-0002-4561-241X - first_name: Thomas A full_name: Henzinger, Thomas A id: 40876CD8-F248-11E8-B48F-1D18A9856A87 last_name: Henzinger orcid: 0000-0002-2985-7724 citation: ama: 'Lechner M, Žikelić Ð, Chatterjee K, Henzinger TA. Infinite time horizon safety of Bayesian neural networks. In: 35th Conference on Neural Information Processing Systems. ; 2021. doi:10.48550/arXiv.2111.03165' apa: Lechner, M., Žikelić, Ð., Chatterjee, K., & Henzinger, T. A. (2021). Infinite time horizon safety of Bayesian neural networks. In 35th Conference on Neural Information Processing Systems. Virtual. https://doi.org/10.48550/arXiv.2111.03165 chicago: Lechner, Mathias, Ðorđe Žikelić, Krishnendu Chatterjee, and Thomas A Henzinger. “Infinite Time Horizon Safety of Bayesian Neural Networks.” In 35th Conference on Neural Information Processing Systems, 2021. https://doi.org/10.48550/arXiv.2111.03165. ieee: M. Lechner, Ð. Žikelić, K. Chatterjee, and T. A. Henzinger, “Infinite time horizon safety of Bayesian neural networks,” in 35th Conference on Neural Information Processing Systems, Virtual, 2021. ista: 'Lechner M, Žikelić Ð, Chatterjee K, Henzinger TA. 2021. Infinite time horizon safety of Bayesian neural networks. 35th Conference on Neural Information Processing Systems. NeurIPS: Neural Information Processing Systems, Advances in Neural Information Processing Systems, .' mla: Lechner, Mathias, et al. “Infinite Time Horizon Safety of Bayesian Neural Networks.” 35th Conference on Neural Information Processing Systems, 2021, doi:10.48550/arXiv.2111.03165. short: M. Lechner, Ð. Žikelić, K. Chatterjee, T.A. Henzinger, in:, 35th Conference on Neural Information Processing Systems, 2021. conference: end_date: 2021-12-10 location: Virtual name: 'NeurIPS: Neural Information Processing Systems' start_date: 2021-12-06 date_created: 2022-01-25T15:45:58Z date_published: 2021-12-01T00:00:00Z date_updated: 2023-06-23T07:01:11Z day: '01' ddc: - '000' department: - _id: GradSch - _id: ToHe - _id: KrCh doi: 10.48550/arXiv.2111.03165 ec_funded: 1 external_id: arxiv: - '2111.03165' file: - access_level: open_access checksum: 0fc0f852525c10dda9cc9ffea07fb4e4 content_type: application/pdf creator: mlechner date_created: 2022-01-26T07:39:59Z date_updated: 2022-01-26T07:39:59Z file_id: '10682' file_name: infinite_time_horizon_safety_o.pdf file_size: 452492 relation: main_file success: 1 file_date_updated: 2022-01-26T07:39:59Z has_accepted_license: '1' language: - iso: eng license: https://creativecommons.org/licenses/by-nc-nd/3.0/ main_file_link: - open_access: '1' url: https://proceedings.neurips.cc/paper/2021/hash/544defa9fddff50c53b71c43e0da72be-Abstract.html month: '12' oa: 1 oa_version: Published Version project: - _id: 2564DBCA-B435-11E9-9278-68D0E5697425 call_identifier: H2020 grant_number: '665385' name: International IST Doctoral Program - _id: 0599E47C-7A3F-11EA-A408-12923DDC885E call_identifier: H2020 grant_number: '863818' name: 'Formal Methods for Stochastic Models: Algorithms and Applications' - _id: 25F42A32-B435-11E9-9278-68D0E5697425 call_identifier: FWF grant_number: Z211 name: The Wittgenstein Prize publication: 35th Conference on Neural Information Processing Systems publication_status: published quality_controlled: '1' related_material: record: - id: '11362' relation: dissertation_contains status: public status: public title: Infinite time horizon safety of Bayesian neural networks tmp: image: /images/cc_by_nc_nd.png legal_code_url: https://creativecommons.org/licenses/by-nc-nd/3.0/legalcode name: Creative Commons Attribution-NonCommercial-NoDerivs 3.0 Unported (CC BY-NC-ND 3.0) short: CC BY-NC-ND (3.0) type: conference user_id: 2EBD1598-F248-11E8-B48F-1D18A9856A87 year: '2021' ... --- _id: '8793' abstract: - lang: eng text: We study optimal election sequences for repeatedly selecting a (very) small group of leaders among a set of participants (players) with publicly known unique ids. In every time slot, every player has to select exactly one player that it considers to be the current leader, oblivious to the selection of the other players, but with the overarching goal of maximizing a given parameterized global (“social”) payoff function in the limit. We consider a quite generic model, where the local payoff achieved by a given player depends, weighted by some arbitrary but fixed real parameter, on the number of different leaders chosen in a round, the number of players that choose the given player as the leader, and whether the chosen leader has changed w.r.t. the previous round or not. The social payoff can be the maximum, average or minimum local payoff of the players. Possible applications include quite diverse examples such as rotating coordinator-based distributed algorithms and long-haul formation flying of social birds. Depending on the weights and the particular social payoff, optimal sequences can be very different, from simple round-robin where all players chose the same leader alternatingly every time slot to very exotic patterns, where a small group of leaders (at most 2) is elected in every time slot. Moreover, we study the question if and when a single player would not benefit w.r.t. its local payoff when deviating from the given optimal sequence, i.e., when our optimal sequences are Nash equilibria in the restricted strategy space of oblivious strategies. As this is the case for many parameterizations of our model, our results reveal that no punishment is needed to make it rational for the players to optimize the social payoff. acknowledgement: "We are grateful to Matthias Függer and Thomas Nowak for having raised our interest in the problem studied in this paper.\r\nThis work has been supported the Austrian Science Fund (FWF) projects S11405, S11407 (RiSE), and P28182 (ADynNet)." article_processing_charge: No article_type: original author: - first_name: Martin full_name: Zeiner, Martin last_name: Zeiner - first_name: Ulrich full_name: Schmid, Ulrich last_name: Schmid - first_name: Krishnendu full_name: Chatterjee, Krishnendu id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87 last_name: Chatterjee orcid: 0000-0002-4561-241X citation: ama: Zeiner M, Schmid U, Chatterjee K. Optimal strategies for selecting coordinators. Discrete Applied Mathematics. 2021;289(1):392-415. doi:10.1016/j.dam.2020.10.022 apa: Zeiner, M., Schmid, U., & Chatterjee, K. (2021). Optimal strategies for selecting coordinators. Discrete Applied Mathematics. Elsevier. https://doi.org/10.1016/j.dam.2020.10.022 chicago: Zeiner, Martin, Ulrich Schmid, and Krishnendu Chatterjee. “Optimal Strategies for Selecting Coordinators.” Discrete Applied Mathematics. Elsevier, 2021. https://doi.org/10.1016/j.dam.2020.10.022. ieee: M. Zeiner, U. Schmid, and K. Chatterjee, “Optimal strategies for selecting coordinators,” Discrete Applied Mathematics, vol. 289, no. 1. Elsevier, pp. 392–415, 2021. ista: Zeiner M, Schmid U, Chatterjee K. 2021. Optimal strategies for selecting coordinators. Discrete Applied Mathematics. 289(1), 392–415. mla: Zeiner, Martin, et al. “Optimal Strategies for Selecting Coordinators.” Discrete Applied Mathematics, vol. 289, no. 1, Elsevier, 2021, pp. 392–415, doi:10.1016/j.dam.2020.10.022. short: M. Zeiner, U. Schmid, K. Chatterjee, Discrete Applied Mathematics 289 (2021) 392–415. date_created: 2020-11-22T23:01:26Z date_published: 2021-01-31T00:00:00Z date_updated: 2023-08-04T11:12:41Z day: '31' ddc: - '510' department: - _id: KrCh doi: 10.1016/j.dam.2020.10.022 external_id: isi: - '000596823800035' file: - access_level: open_access checksum: f1039ff5a2d6ca116720efdb84ee9d5e content_type: application/pdf creator: dernst date_created: 2021-02-04T11:28:42Z date_updated: 2021-02-04T11:28:42Z file_id: '9089' file_name: 2021_DiscreteApplMath_Zeiner.pdf file_size: 652739 relation: main_file success: 1 file_date_updated: 2021-02-04T11:28:42Z has_accepted_license: '1' intvolume: ' 289' isi: 1 issue: '1' language: - iso: eng month: '01' oa: 1 oa_version: Published Version page: 392-415 project: - _id: 25F2ACDE-B435-11E9-9278-68D0E5697425 call_identifier: FWF grant_number: S11402-N23 name: Rigorous Systems Engineering - _id: 25863FF4-B435-11E9-9278-68D0E5697425 call_identifier: FWF grant_number: S11407 name: Game Theory publication: Discrete Applied Mathematics publication_identifier: issn: - 0166218X publication_status: published publisher: Elsevier quality_controlled: '1' scopus_import: '1' status: public title: Optimal strategies for selecting coordinators tmp: image: /images/cc_by.png legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0) short: CC BY (4.0) type: journal_article user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8 volume: 289 year: '2021' ... --- _id: '9381' abstract: - lang: eng text: 'A game of rock-paper-scissors is an interesting example of an interaction where none of the pure strategies strictly dominates all others, leading to a cyclic pattern. In this work, we consider an unstable version of rock-paper-scissors dynamics and allow individuals to make behavioural mistakes during the strategy execution. We show that such an assumption can break a cyclic relationship leading to a stable equilibrium emerging with only one strategy surviving. We consider two cases: completely random mistakes when individuals have no bias towards any strategy and a general form of mistakes. Then, we determine conditions for a strategy to dominate all other strategies. However, given that individuals who adopt a dominating strategy are still prone to behavioural mistakes in the observed behaviour, we may still observe extinct strategies. That is, behavioural mistakes in strategy execution stabilise evolutionary dynamics leading to an evolutionary stable and, potentially, mixed co-existence equilibrium.' acknowledgement: Authors would like to thank Christian Hilbe and Martin Nowak for their inspiring and very helpful feedback on the manuscript. article_number: e1008523 article_processing_charge: No article_type: original author: - first_name: Maria full_name: Kleshnina, Maria id: 4E21749C-F248-11E8-B48F-1D18A9856A87 last_name: Kleshnina - first_name: Sabrina S. full_name: Streipert, Sabrina S. last_name: Streipert - first_name: Jerzy A. full_name: Filar, Jerzy A. last_name: Filar - first_name: Krishnendu full_name: Chatterjee, Krishnendu id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87 last_name: Chatterjee orcid: 0000-0002-4561-241X citation: ama: Kleshnina M, Streipert SS, Filar JA, Chatterjee K. Mistakes can stabilise the dynamics of rock-paper-scissors games. PLoS Computational Biology. 2021;17(4). doi:10.1371/journal.pcbi.1008523 apa: Kleshnina, M., Streipert, S. S., Filar, J. A., & Chatterjee, K. (2021). Mistakes can stabilise the dynamics of rock-paper-scissors games. PLoS Computational Biology. Public Library of Science. https://doi.org/10.1371/journal.pcbi.1008523 chicago: Kleshnina, Maria, Sabrina S. Streipert, Jerzy A. Filar, and Krishnendu Chatterjee. “Mistakes Can Stabilise the Dynamics of Rock-Paper-Scissors Games.” PLoS Computational Biology. Public Library of Science, 2021. https://doi.org/10.1371/journal.pcbi.1008523. ieee: M. Kleshnina, S. S. Streipert, J. A. Filar, and K. Chatterjee, “Mistakes can stabilise the dynamics of rock-paper-scissors games,” PLoS Computational Biology, vol. 17, no. 4. Public Library of Science, 2021. ista: Kleshnina M, Streipert SS, Filar JA, Chatterjee K. 2021. Mistakes can stabilise the dynamics of rock-paper-scissors games. PLoS Computational Biology. 17(4), e1008523. mla: Kleshnina, Maria, et al. “Mistakes Can Stabilise the Dynamics of Rock-Paper-Scissors Games.” PLoS Computational Biology, vol. 17, no. 4, e1008523, Public Library of Science, 2021, doi:10.1371/journal.pcbi.1008523. short: M. Kleshnina, S.S. Streipert, J.A. Filar, K. Chatterjee, PLoS Computational Biology 17 (2021). date_created: 2021-05-09T22:01:38Z date_published: 2021-04-01T00:00:00Z date_updated: 2023-08-08T13:31:08Z day: '01' ddc: - '000' department: - _id: KrCh doi: 10.1371/journal.pcbi.1008523 ec_funded: 1 external_id: isi: - '000639711200001' file: - access_level: open_access checksum: a94ebe0c4116f5047eaa6029e54d2dac content_type: application/pdf creator: kschuh date_created: 2021-05-11T13:50:06Z date_updated: 2021-05-11T13:50:06Z file_id: '9385' file_name: 2021_pcbi_Kleshnina.pdf file_size: 1323820 relation: main_file success: 1 file_date_updated: 2021-05-11T13:50:06Z has_accepted_license: '1' intvolume: ' 17' isi: 1 issue: '4' language: - iso: eng month: '04' oa: 1 oa_version: Published Version project: - _id: 260C2330-B435-11E9-9278-68D0E5697425 call_identifier: H2020 grant_number: '754411' name: ISTplus - Postdoctoral Fellowships - _id: 0599E47C-7A3F-11EA-A408-12923DDC885E call_identifier: H2020 grant_number: '863818' name: 'Formal Methods for Stochastic Models: Algorithms and Applications' publication: PLoS Computational Biology publication_identifier: eissn: - '15537358' issn: - 1553734X publication_status: published publisher: Public Library of Science quality_controlled: '1' scopus_import: '1' status: public title: Mistakes can stabilise the dynamics of rock-paper-scissors games tmp: image: /images/cc_by.png legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0) short: CC BY (4.0) type: journal_article user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8 volume: 17 year: '2021' ... --- _id: '9640' abstract: - lang: eng text: 'Selection and random drift determine the probability that novel mutations fixate in a population. Population structure is known to affect the dynamics of the evolutionary process. Amplifiers of selection are population structures that increase the fixation probability of beneficial mutants compared to well-mixed populations. Over the past 15 years, extensive research has produced remarkable structures called strong amplifiers which guarantee that every beneficial mutation fixates with high probability. But strong amplification has come at the cost of considerably delaying the fixation event, which can slow down the overall rate of evolution. However, the precise relationship between fixation probability and time has remained elusive. Here we characterize the slowdown effect of strong amplification. First, we prove that all strong amplifiers must delay the fixation event at least to some extent. Second, we construct strong amplifiers that delay the fixation event only marginally as compared to the well-mixed populations. Our results thus establish a tight relationship between fixation probability and time: Strong amplification always comes at a cost of a slowdown, but more than a marginal slowdown is not needed.' acknowledgement: 'K.C. acknowledges support from ERC Start grant no. (279307: Graph Games), ERC Consolidator grant no. (863818: ForM-SMart), Austrian Science Fund (FWF) grant no. P23499-N23 and S11407-N23 (RiSE). M.A.N. acknowledges support from Office of Naval Research grant N00014-16-1-2914 and from the John Templeton Foundation.' article_number: '4009' article_processing_charge: No article_type: original author: - first_name: Josef full_name: Tkadlec, Josef id: 3F24CCC8-F248-11E8-B48F-1D18A9856A87 last_name: Tkadlec orcid: 0000-0002-1097-9684 - first_name: Andreas full_name: Pavlogiannis, Andreas id: 49704004-F248-11E8-B48F-1D18A9856A87 last_name: Pavlogiannis orcid: 0000-0002-8943-0722 - first_name: Krishnendu full_name: Chatterjee, Krishnendu id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87 last_name: Chatterjee orcid: 0000-0002-4561-241X - first_name: Martin A. full_name: Nowak, Martin A. last_name: Nowak citation: ama: Tkadlec J, Pavlogiannis A, Chatterjee K, Nowak MA. Fast and strong amplifiers of natural selection. Nature Communications. 2021;12(1). doi:10.1038/s41467-021-24271-w apa: Tkadlec, J., Pavlogiannis, A., Chatterjee, K., & Nowak, M. A. (2021). Fast and strong amplifiers of natural selection. Nature Communications. Springer Nature. https://doi.org/10.1038/s41467-021-24271-w chicago: Tkadlec, Josef, Andreas Pavlogiannis, Krishnendu Chatterjee, and Martin A. Nowak. “Fast and Strong Amplifiers of Natural Selection.” Nature Communications. Springer Nature, 2021. https://doi.org/10.1038/s41467-021-24271-w. ieee: J. Tkadlec, A. Pavlogiannis, K. Chatterjee, and M. A. Nowak, “Fast and strong amplifiers of natural selection,” Nature Communications, vol. 12, no. 1. Springer Nature, 2021. ista: Tkadlec J, Pavlogiannis A, Chatterjee K, Nowak MA. 2021. Fast and strong amplifiers of natural selection. Nature Communications. 12(1), 4009. mla: Tkadlec, Josef, et al. “Fast and Strong Amplifiers of Natural Selection.” Nature Communications, vol. 12, no. 1, 4009, Springer Nature, 2021, doi:10.1038/s41467-021-24271-w. short: J. Tkadlec, A. Pavlogiannis, K. Chatterjee, M.A. Nowak, Nature Communications 12 (2021). date_created: 2021-07-11T22:01:15Z date_published: 2021-06-29T00:00:00Z date_updated: 2023-08-10T14:05:09Z day: '29' ddc: - '510' department: - _id: KrCh doi: 10.1038/s41467-021-24271-w ec_funded: 1 external_id: isi: - '000671752100003' pmid: - '34188036' file: - access_level: open_access checksum: 5767418926a7f7fb76151de29473dae0 content_type: application/pdf creator: cziletti date_created: 2021-07-19T13:02:20Z date_updated: 2021-07-19T13:02:20Z file_id: '9692' file_name: 2021_NatCoom_Tkadlec.pdf file_size: 628992 relation: main_file success: 1 file_date_updated: 2021-07-19T13:02:20Z has_accepted_license: '1' intvolume: ' 12' isi: 1 issue: '1' language: - iso: eng month: '06' oa: 1 oa_version: Published Version pmid: 1 project: - _id: 2581B60A-B435-11E9-9278-68D0E5697425 call_identifier: FP7 grant_number: '279307' name: 'Quantitative Graph Games: Theory and Applications' - _id: 0599E47C-7A3F-11EA-A408-12923DDC885E call_identifier: H2020 grant_number: '863818' name: 'Formal Methods for Stochastic Models: Algorithms and Applications' - _id: 2584A770-B435-11E9-9278-68D0E5697425 call_identifier: FWF grant_number: P 23499-N23 name: Modern Graph Algorithmic Techniques in Formal Verification - _id: 25832EC2-B435-11E9-9278-68D0E5697425 call_identifier: FWF grant_number: S 11407_N23 name: Rigorous Systems Engineering publication: Nature Communications publication_identifier: eissn: - '20411723' publication_status: published publisher: Springer Nature quality_controlled: '1' scopus_import: '1' status: public title: Fast and strong amplifiers of natural selection tmp: image: /images/cc_by.png legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0) short: CC BY (4.0) type: journal_article user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8 volume: 12 year: '2021' ... --- _id: '9646' abstract: - lang: eng text: We consider the fundamental problem of deriving quantitative bounds on the probability that a given assertion is violated in a probabilistic program. We provide automated algorithms that obtain both lower and upper bounds on the assertion violation probability. The main novelty of our approach is that we prove new and dedicated fixed-point theorems which serve as the theoretical basis of our algorithms and enable us to reason about assertion violation bounds in terms of pre and post fixed-point functions. To synthesize such fixed-points, we devise algorithms that utilize a wide range of mathematical tools, including repulsing ranking supermartingales, Hoeffding's lemma, Minkowski decompositions, Jensen's inequality, and convex optimization. On the theoretical side, we provide (i) the first automated algorithm for lower-bounds on assertion violation probabilities, (ii) the first complete algorithm for upper-bounds of exponential form in affine programs, and (iii) provably and significantly tighter upper-bounds than the previous approaches. On the practical side, we show our algorithms can handle a wide variety of programs from the literature and synthesize bounds that are remarkably tighter than previous results, in some cases by thousands of orders of magnitude. acknowledgement: 'We are very thankful to the anonymous reviewers for the helpful and valuable comments. The work was partially supported by the National Natural Science Foundation of China (NSFC) Grant No. 61802254, the Huawei Innovation Research Program, the ERC CoG 863818 (ForM-SMArt), the Facebook PhD Fellowship Program and DOC Fellowship #24956 of the Austrian Academy of Sciences (ÖAW).' article_processing_charge: No author: - first_name: Jinyi full_name: Wang, Jinyi last_name: Wang - first_name: Yican full_name: Sun, Yican last_name: Sun - first_name: Hongfei full_name: Fu, Hongfei id: 3AAD03D6-F248-11E8-B48F-1D18A9856A87 last_name: Fu - first_name: Krishnendu full_name: Chatterjee, Krishnendu id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87 last_name: Chatterjee orcid: 0000-0002-4561-241X - first_name: Amir Kafshdar full_name: Goharshady, Amir Kafshdar id: 391365CE-F248-11E8-B48F-1D18A9856A87 last_name: Goharshady orcid: 0000-0003-1702-6584 citation: ama: 'Wang J, Sun Y, Fu H, Chatterjee K, Goharshady AK. Quantitative analysis of assertion violations in probabilistic programs. In: Proceedings of the 42nd ACM SIGPLAN International Conference on Programming Language Design and Implementation. Association for Computing Machinery; 2021:1171-1186. doi:10.1145/3453483.3454102' apa: 'Wang, J., Sun, Y., Fu, H., Chatterjee, K., & Goharshady, A. K. (2021). Quantitative analysis of assertion violations in probabilistic programs. In Proceedings of the 42nd ACM SIGPLAN International Conference on Programming Language Design and Implementation (pp. 1171–1186). Online: Association for Computing Machinery. https://doi.org/10.1145/3453483.3454102' chicago: Wang, Jinyi, Yican Sun, Hongfei Fu, Krishnendu Chatterjee, and Amir Kafshdar Goharshady. “Quantitative Analysis of Assertion Violations in Probabilistic Programs.” In Proceedings of the 42nd ACM SIGPLAN International Conference on Programming Language Design and Implementation, 1171–86. Association for Computing Machinery, 2021. https://doi.org/10.1145/3453483.3454102. ieee: J. Wang, Y. Sun, H. Fu, K. Chatterjee, and A. K. Goharshady, “Quantitative analysis of assertion violations in probabilistic programs,” in Proceedings of the 42nd ACM SIGPLAN International Conference on Programming Language Design and Implementation, Online, 2021, pp. 1171–1186. ista: 'Wang J, Sun Y, Fu H, Chatterjee K, Goharshady AK. 2021. Quantitative analysis of assertion violations in probabilistic programs. Proceedings of the 42nd ACM SIGPLAN International Conference on Programming Language Design and Implementation. PLDI: Programming Language Design and Implementation, 1171–1186.' mla: Wang, Jinyi, et al. “Quantitative Analysis of Assertion Violations in Probabilistic Programs.” Proceedings of the 42nd ACM SIGPLAN International Conference on Programming Language Design and Implementation, Association for Computing Machinery, 2021, pp. 1171–86, doi:10.1145/3453483.3454102. short: J. Wang, Y. Sun, H. Fu, K. Chatterjee, A.K. Goharshady, in:, Proceedings of the 42nd ACM SIGPLAN International Conference on Programming Language Design and Implementation, Association for Computing Machinery, 2021, pp. 1171–1186. conference: end_date: 2021-06-26 location: Online name: 'PLDI: Programming Language Design and Implementation' start_date: 2021-06-20 date_created: 2021-07-11T22:01:18Z date_published: 2021-06-01T00:00:00Z date_updated: 2023-08-10T14:14:08Z day: '01' department: - _id: KrCh doi: 10.1145/3453483.3454102 ec_funded: 1 external_id: arxiv: - '2011.14617' isi: - '000723661700076' isi: 1 language: - iso: eng main_file_link: - open_access: '1' url: https://arxiv.org/abs/2011.14617 month: '06' oa: 1 oa_version: Preprint page: 1171-1186 project: - _id: 0599E47C-7A3F-11EA-A408-12923DDC885E call_identifier: H2020 grant_number: '863818' name: 'Formal Methods for Stochastic Models: Algorithms and Applications' - _id: 267066CE-B435-11E9-9278-68D0E5697425 name: Quantitative Analysis of Probablistic Systems with a focus on Crypto-currencies publication: Proceedings of the 42nd ACM SIGPLAN International Conference on Programming Language Design and Implementation publication_identifier: isbn: - '9781450383912' publication_status: published publisher: Association for Computing Machinery quality_controlled: '1' scopus_import: '1' status: public title: Quantitative analysis of assertion violations in probabilistic programs type: conference user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8 year: '2021' ... --- _id: '9645' abstract: - lang: eng text: "We consider the fundamental problem of reachability analysis over imperative programs with real variables. Previous works that tackle reachability are either unable to handle programs consisting of general loops (e.g. symbolic execution), or lack completeness guarantees (e.g. abstract interpretation), or are not automated (e.g. incorrectness logic). In contrast, we propose a novel approach for reachability analysis that can handle general and complex loops, is complete, and can be entirely automated for a wide family of programs. Through the notion of Inductive Reachability Witnesses (IRWs), our approach extends ideas from both invariant generation and termination to reachability analysis.\r\n\r\nWe first show that our IRW-based approach is sound and complete for reachability analysis of imperative programs. Then, we focus on linear and polynomial programs and develop automated methods for synthesizing linear and polynomial IRWs. In the linear case, we follow the well-known approaches using Farkas' Lemma. Our main contribution is in the polynomial case, where we present a push-button semi-complete algorithm. We achieve this using a novel combination of classical theorems in real algebraic geometry, such as Putinar's Positivstellensatz and Hilbert's Strong Nullstellensatz. Finally, our experimental results show we can prove complex reachability objectives over various benchmarks that were beyond the reach of previous methods." acknowledgement: This research was partially supported by the ERC CoG 863818 (ForM-SMArt), the National Natural Science Foundation of China (NSFC) Grant No. 61802254, the Huawei Innovation Research Program, the Facebook PhD Fellowship Program, and DOC Fellowship No. 24956 of the Austrian Academy of Sciences (ÖAW). article_processing_charge: No author: - first_name: Ali full_name: Asadi, Ali last_name: Asadi - first_name: Krishnendu full_name: Chatterjee, Krishnendu id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87 last_name: Chatterjee orcid: 0000-0002-4561-241X - first_name: Hongfei full_name: Fu, Hongfei id: 3AAD03D6-F248-11E8-B48F-1D18A9856A87 last_name: Fu - first_name: Amir Kafshdar full_name: Goharshady, Amir Kafshdar id: 391365CE-F248-11E8-B48F-1D18A9856A87 last_name: Goharshady orcid: 0000-0003-1702-6584 - first_name: Mohammad full_name: Mahdavi, Mohammad last_name: Mahdavi citation: ama: 'Asadi A, Chatterjee K, Fu H, Goharshady AK, Mahdavi M. Polynomial reachability witnesses via Stellensätze. In: Proceedings of the 42nd ACM SIGPLAN International Conference on Programming Language Design and Implementation. Association for Computing Machinery; 2021:772-787. doi:10.1145/3453483.3454076' apa: 'Asadi, A., Chatterjee, K., Fu, H., Goharshady, A. K., & Mahdavi, M. (2021). Polynomial reachability witnesses via Stellensätze. In Proceedings of the 42nd ACM SIGPLAN International Conference on Programming Language Design and Implementation (pp. 772–787). Online: Association for Computing Machinery. https://doi.org/10.1145/3453483.3454076' chicago: Asadi, Ali, Krishnendu Chatterjee, Hongfei Fu, Amir Kafshdar Goharshady, and Mohammad Mahdavi. “Polynomial Reachability Witnesses via Stellensätze.” In Proceedings of the 42nd ACM SIGPLAN International Conference on Programming Language Design and Implementation, 772–87. Association for Computing Machinery, 2021. https://doi.org/10.1145/3453483.3454076. ieee: A. Asadi, K. Chatterjee, H. Fu, A. K. Goharshady, and M. Mahdavi, “Polynomial reachability witnesses via Stellensätze,” in Proceedings of the 42nd ACM SIGPLAN International Conference on Programming Language Design and Implementation, Online, 2021, pp. 772–787. ista: 'Asadi A, Chatterjee K, Fu H, Goharshady AK, Mahdavi M. 2021. Polynomial reachability witnesses via Stellensätze. Proceedings of the 42nd ACM SIGPLAN International Conference on Programming Language Design and Implementation. PLDI: Programming Language Design and Implementation, 772–787.' mla: Asadi, Ali, et al. “Polynomial Reachability Witnesses via Stellensätze.” Proceedings of the 42nd ACM SIGPLAN International Conference on Programming Language Design and Implementation, Association for Computing Machinery, 2021, pp. 772–87, doi:10.1145/3453483.3454076. short: A. Asadi, K. Chatterjee, H. Fu, A.K. Goharshady, M. Mahdavi, in:, Proceedings of the 42nd ACM SIGPLAN International Conference on Programming Language Design and Implementation, Association for Computing Machinery, 2021, pp. 772–787. conference: end_date: 2021-06-26 location: Online name: ' PLDI: Programming Language Design and Implementation' start_date: 2021-06-20 date_created: 2021-07-11T22:01:17Z date_published: 2021-06-01T00:00:00Z date_updated: 2023-08-10T14:13:39Z day: '01' department: - _id: KrCh doi: 10.1145/3453483.3454076 ec_funded: 1 external_id: isi: - '000723661700050' isi: 1 language: - iso: eng main_file_link: - open_access: '1' url: https://hal.archives-ouvertes.fr/hal-03183862/ month: '06' oa: 1 oa_version: Submitted Version page: 772-787 project: - _id: 0599E47C-7A3F-11EA-A408-12923DDC885E call_identifier: H2020 grant_number: '863818' name: 'Formal Methods for Stochastic Models: Algorithms and Applications' - _id: 267066CE-B435-11E9-9278-68D0E5697425 name: Quantitative Analysis of Probablistic Systems with a focus on Crypto-currencies publication: Proceedings of the 42nd ACM SIGPLAN International Conference on Programming Language Design and Implementation publication_identifier: isbn: - '9781450383912' publication_status: published publisher: Association for Computing Machinery quality_controlled: '1' scopus_import: '1' status: public title: Polynomial reachability witnesses via Stellensätze type: conference user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8 year: '2021' ... --- _id: '10002' abstract: - lang: eng text: 'We present a faster symbolic algorithm for the following central problem in probabilistic verification: Compute the maximal end-component (MEC) decomposition of Markov decision processes (MDPs). This problem generalizes the SCC decomposition problem of graphs and closed recurrent sets of Markov chains. The model of symbolic algorithms is widely used in formal verification and model-checking, where access to the input model is restricted to only symbolic operations (e.g., basic set operations and computation of one-step neighborhood). For an input MDP with n vertices and m edges, the classical symbolic algorithm from the 1990s for the MEC decomposition requires O(n2) symbolic operations and O(1) symbolic space. The only other symbolic algorithm for the MEC decomposition requires O(nm−−√) symbolic operations and O(m−−√) symbolic space. A main open question is whether the worst-case O(n2) bound for symbolic operations can be beaten. We present a symbolic algorithm that requires O˜(n1.5) symbolic operations and O˜(n−−√) symbolic space. Moreover, the parametrization of our algorithm provides a trade-off between symbolic operations and symbolic space: for all 0<ϵ≤1/2 the symbolic algorithm requires O˜(n2−ϵ) symbolic operations and O˜(nϵ) symbolic space ( O˜ hides poly-logarithmic factors). Using our techniques we present faster algorithms for computing the almost-sure winning regions of ω -regular objectives for MDPs. We consider the canonical parity objectives for ω -regular objectives, and for parity objectives with d -priorities we present an algorithm that computes the almost-sure winning region with O˜(n2−ϵ) symbolic operations and O˜(nϵ) symbolic space, for all 0<ϵ≤1/2 .' acknowledgement: The authors are grateful to the anonymous referees for their valuable comments. A. S. is fully supported by the Vienna Science and Technology Fund (WWTF) through project ICT15–003. K. C. is supported by the Austrian Science Fund (FWF) NFN Grant No S11407-N23 (RiSE/SHiNE) and by the ERC CoG 863818 (ForM-SMArt). For M. H. the research leading to these results has received funding from the European Research Council under the European Unions Seventh Framework Programme (FP/2007–2013) / ERC Grant Agreement no. 340506. article_processing_charge: No author: - first_name: Krishnendu full_name: Chatterjee, Krishnendu id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87 last_name: Chatterjee orcid: 0000-0002-4561-241X - first_name: Wolfgang full_name: Dvorak, Wolfgang last_name: Dvorak - first_name: Monika H full_name: Henzinger, Monika H id: 540c9bbd-f2de-11ec-812d-d04a5be85630 last_name: Henzinger orcid: 0000-0002-5008-6530 - first_name: Alexander full_name: Svozil, Alexander last_name: Svozil citation: ama: 'Chatterjee K, Dvorak W, Henzinger MH, Svozil A. Symbolic time and space tradeoffs for probabilistic verification. In: Proceedings of the 36th Annual ACM/IEEE Symposium on Logic in Computer Science. Institute of Electrical and Electronics Engineers; 2021:1-13. doi:10.1109/LICS52264.2021.9470739' apa: 'Chatterjee, K., Dvorak, W., Henzinger, M. H., & Svozil, A. (2021). Symbolic time and space tradeoffs for probabilistic verification. In Proceedings of the 36th Annual ACM/IEEE Symposium on Logic in Computer Science (pp. 1–13). Rome, Italy: Institute of Electrical and Electronics Engineers. https://doi.org/10.1109/LICS52264.2021.9470739' chicago: Chatterjee, Krishnendu, Wolfgang Dvorak, Monika H Henzinger, and Alexander Svozil. “Symbolic Time and Space Tradeoffs for Probabilistic Verification.” In Proceedings of the 36th Annual ACM/IEEE Symposium on Logic in Computer Science, 1–13. Institute of Electrical and Electronics Engineers, 2021. https://doi.org/10.1109/LICS52264.2021.9470739. ieee: K. Chatterjee, W. Dvorak, M. H. Henzinger, and A. Svozil, “Symbolic time and space tradeoffs for probabilistic verification,” in Proceedings of the 36th Annual ACM/IEEE Symposium on Logic in Computer Science, Rome, Italy, 2021, pp. 1–13. ista: 'Chatterjee K, Dvorak W, Henzinger MH, Svozil A. 2021. Symbolic time and space tradeoffs for probabilistic verification. Proceedings of the 36th Annual ACM/IEEE Symposium on Logic in Computer Science. LICS: Symposium on Logic in Computer Science, 1–13.' mla: Chatterjee, Krishnendu, et al. “Symbolic Time and Space Tradeoffs for Probabilistic Verification.” Proceedings of the 36th Annual ACM/IEEE Symposium on Logic in Computer Science, Institute of Electrical and Electronics Engineers, 2021, pp. 1–13, doi:10.1109/LICS52264.2021.9470739. short: K. Chatterjee, W. Dvorak, M.H. Henzinger, A. Svozil, in:, Proceedings of the 36th Annual ACM/IEEE Symposium on Logic in Computer Science, Institute of Electrical and Electronics Engineers, 2021, pp. 1–13. conference: end_date: 2021-07-02 location: Rome, Italy name: 'LICS: Symposium on Logic in Computer Science' start_date: 2021-06-29 date_created: 2021-09-12T22:01:24Z date_published: 2021-07-07T00:00:00Z date_updated: 2023-08-14T06:51:33Z day: '07' department: - _id: KrCh doi: 10.1109/LICS52264.2021.9470739 ec_funded: 1 external_id: arxiv: - '2104.07466' isi: - '000947350400089' isi: 1 keyword: - Computer science - Computational modeling - Markov processes - Probabilistic logic - Formal verification - Game Theory language: - iso: eng main_file_link: - open_access: '1' url: https://arxiv.org/abs/2104.07466 month: '07' oa: 1 oa_version: Preprint page: 1-13 project: - _id: 25863FF4-B435-11E9-9278-68D0E5697425 call_identifier: FWF grant_number: S11407 name: Game Theory - _id: 0599E47C-7A3F-11EA-A408-12923DDC885E call_identifier: H2020 grant_number: '863818' name: 'Formal Methods for Stochastic Models: Algorithms and Applications' publication: Proceedings of the 36th Annual ACM/IEEE Symposium on Logic in Computer Science publication_identifier: eisbn: - 978-1-6654-4895-6 isbn: - 978-1-6654-4896-3 issn: - 1043-6871 publication_status: published publisher: Institute of Electrical and Electronics Engineers quality_controlled: '1' scopus_import: '1' status: public title: Symbolic time and space tradeoffs for probabilistic verification type: conference user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8 year: '2021' ... --- _id: '10004' abstract: - lang: eng text: 'Markov chains are the de facto finite-state model for stochastic dynamical systems, and Markov decision processes (MDPs) extend Markov chains by incorporating non-deterministic behaviors. Given an MDP and rewards on states, a classical optimization criterion is the maximal expected total reward where the MDP stops after T steps, which can be computed by a simple dynamic programming algorithm. We consider a natural generalization of the problem where the stopping times can be chosen according to a probability distribution, such that the expected stopping time is T, to optimize the expected total reward. Quite surprisingly we establish inter-reducibility of the expected stopping-time problem for Markov chains with the Positivity problem (which is related to the well-known Skolem problem), for which establishing either decidability or undecidability would be a major breakthrough. Given the hardness of the exact problem, we consider the approximate version of the problem: we show that it can be solved in exponential time for Markov chains and in exponential space for MDPs.' acknowledgement: We are grateful to the anonymous reviewers of LICS 2021 and of a previous version of this paper for insightful comments that helped improving the presentation. This research was partially supported by the grant ERC CoG 863818 (ForM-SMArt). article_processing_charge: No author: - first_name: Krishnendu full_name: Chatterjee, Krishnendu id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87 last_name: Chatterjee orcid: 0000-0002-4561-241X - first_name: Laurent full_name: Doyen, Laurent last_name: Doyen citation: ama: 'Chatterjee K, Doyen L. Stochastic processes with expected stopping time. In: Proceedings of the 36th Annual ACM/IEEE Symposium on Logic in Computer Science. Institute of Electrical and Electronics Engineers; 2021:1-13. doi:10.1109/LICS52264.2021.9470595' apa: 'Chatterjee, K., & Doyen, L. (2021). Stochastic processes with expected stopping time. In Proceedings of the 36th Annual ACM/IEEE Symposium on Logic in Computer Science (pp. 1–13). Rome, Italy: Institute of Electrical and Electronics Engineers. https://doi.org/10.1109/LICS52264.2021.9470595' chicago: Chatterjee, Krishnendu, and Laurent Doyen. “Stochastic Processes with Expected Stopping Time.” In Proceedings of the 36th Annual ACM/IEEE Symposium on Logic in Computer Science, 1–13. Institute of Electrical and Electronics Engineers, 2021. https://doi.org/10.1109/LICS52264.2021.9470595. ieee: K. Chatterjee and L. Doyen, “Stochastic processes with expected stopping time,” in Proceedings of the 36th Annual ACM/IEEE Symposium on Logic in Computer Science, Rome, Italy, 2021, pp. 1–13. ista: 'Chatterjee K, Doyen L. 2021. Stochastic processes with expected stopping time. Proceedings of the 36th Annual ACM/IEEE Symposium on Logic in Computer Science. LICS: Symposium on Logic in Computer Science, 1–13.' mla: Chatterjee, Krishnendu, and Laurent Doyen. “Stochastic Processes with Expected Stopping Time.” Proceedings of the 36th Annual ACM/IEEE Symposium on Logic in Computer Science, Institute of Electrical and Electronics Engineers, 2021, pp. 1–13, doi:10.1109/LICS52264.2021.9470595. short: K. Chatterjee, L. Doyen, in:, Proceedings of the 36th Annual ACM/IEEE Symposium on Logic in Computer Science, Institute of Electrical and Electronics Engineers, 2021, pp. 1–13. conference: end_date: 2021-07-02 location: Rome, Italy name: 'LICS: Symposium on Logic in Computer Science' start_date: 2021-06-29 date_created: 2021-09-12T22:01:25Z date_published: 2021-07-07T00:00:00Z date_updated: 2023-08-14T06:52:07Z day: '07' department: - _id: KrCh doi: 10.1109/LICS52264.2021.9470595 ec_funded: 1 external_id: arxiv: - '2104.07278' isi: - '000947350400036' isi: 1 keyword: - Computer science - Heuristic algorithms - Memory management - Automata - Markov processes - Probability distribution - Complexity theory language: - iso: eng main_file_link: - open_access: '1' url: https://arxiv.org/abs/2104.07278 month: '07' oa: 1 oa_version: Preprint page: 1-13 project: - _id: 0599E47C-7A3F-11EA-A408-12923DDC885E call_identifier: H2020 grant_number: '863818' name: 'Formal Methods for Stochastic Models: Algorithms and Applications' publication: Proceedings of the 36th Annual ACM/IEEE Symposium on Logic in Computer Science publication_identifier: eisbn: - 978-1-6654-4895-6 isbn: - 978-1-6654-4896-3 issn: - 1043-6871 publication_status: published publisher: Institute of Electrical and Electronics Engineers quality_controlled: '1' scopus_import: '1' status: public title: Stochastic processes with expected stopping time type: conference user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8 year: '2021' ... --- _id: '10055' abstract: - lang: eng text: "Repeated idempotent elements are commonly used to characterise iterable behaviours in abstract models of computation. Therefore, given a monoid M, it is natural to ask how long a sequence of elements of M needs to be to ensure the presence of consecutive idempotent factors. This question is formalised through the notion of the Ramsey function R_M associated to M, obtained by mapping every k ∈ ℕ to the minimal integer R_M(k) such that every word u ∈ M^* of length R_M(k) contains k consecutive non-empty factors that correspond to the same idempotent element of M. In this work, we study the behaviour of the Ramsey function R_M by investigating the regular \U0001D49F-length of M, defined as the largest size L(M) of a submonoid of M isomorphic to the set of natural numbers {1,2, …, L(M)} equipped with the max operation. We show that the regular \U0001D49F-length of M determines the degree of R_M, by proving that k^L(M) ≤ R_M(k) ≤ (k|M|⁴)^L(M). To allow applications of this result, we provide the value of the regular \U0001D49F-length of diverse monoids. In particular, we prove that the full monoid of n × n Boolean matrices, which is used to express transition monoids of non-deterministic automata, has a regular \U0001D49F-length of (n²+n+2)/2." acknowledgement: This project has received funding from the European Union’s Horizon 2020 research and innovation programme under the Marie Skłodowska-Curie Grant Agreement No. 754411. I wish to thank Michaël Cadilhac, Emmanuel Filiot and Charles Paperman for their valuable insights concerning Green’s relations. alternative_title: - LIPIcs article_number: '44' article_processing_charge: No author: - first_name: Ismael R full_name: Jecker, Ismael R id: 85D7C63E-7D5D-11E9-9C0F-98C4E5697425 last_name: Jecker citation: ama: 'Jecker IR. A Ramsey theorem for finite monoids. In: 38th International Symposium on Theoretical Aspects of Computer Science. Vol 187. Schloss Dagstuhl - Leibniz Zentrum für Informatik; 2021. doi:10.4230/LIPIcs.STACS.2021.44' apa: 'Jecker, I. R. (2021). A Ramsey theorem for finite monoids. In 38th International Symposium on Theoretical Aspects of Computer Science (Vol. 187). Saarbrücken, Germany: Schloss Dagstuhl - Leibniz Zentrum für Informatik. https://doi.org/10.4230/LIPIcs.STACS.2021.44' chicago: Jecker, Ismael R. “A Ramsey Theorem for Finite Monoids.” In 38th International Symposium on Theoretical Aspects of Computer Science, Vol. 187. Schloss Dagstuhl - Leibniz Zentrum für Informatik, 2021. https://doi.org/10.4230/LIPIcs.STACS.2021.44. ieee: I. R. Jecker, “A Ramsey theorem for finite monoids,” in 38th International Symposium on Theoretical Aspects of Computer Science, Saarbrücken, Germany, 2021, vol. 187. ista: 'Jecker IR. 2021. A Ramsey theorem for finite monoids. 38th International Symposium on Theoretical Aspects of Computer Science. STACS: Symposium on Theoretical Aspects of Computer Science, LIPIcs, vol. 187, 44.' mla: Jecker, Ismael R. “A Ramsey Theorem for Finite Monoids.” 38th International Symposium on Theoretical Aspects of Computer Science, vol. 187, 44, Schloss Dagstuhl - Leibniz Zentrum für Informatik, 2021, doi:10.4230/LIPIcs.STACS.2021.44. short: I.R. Jecker, in:, 38th International Symposium on Theoretical Aspects of Computer Science, Schloss Dagstuhl - Leibniz Zentrum für Informatik, 2021. conference: end_date: 2021-03-19 location: Saarbrücken, Germany name: 'STACS: Symposium on Theoretical Aspects of Computer Science' start_date: 2021-03-16 date_created: 2021-09-27T14:33:15Z date_published: 2021-03-10T00:00:00Z date_updated: 2023-08-14T07:03:23Z day: '10' ddc: - '000' department: - _id: KrCh doi: 10.4230/LIPIcs.STACS.2021.44 ec_funded: 1 external_id: isi: - '000635691700044' file: - access_level: open_access checksum: 17432a05733f408de300e17e390a90e4 content_type: application/pdf creator: cchlebak date_created: 2021-10-01T09:55:00Z date_updated: 2021-10-01T09:55:00Z file_id: '10063' file_name: 2021_LIPIcs_Jecker.pdf file_size: 720250 relation: main_file success: 1 file_date_updated: 2021-10-01T09:55:00Z has_accepted_license: '1' intvolume: ' 187' isi: 1 language: - iso: eng month: '03' oa: 1 oa_version: Published Version project: - _id: 260C2330-B435-11E9-9278-68D0E5697425 call_identifier: H2020 grant_number: '754411' name: ISTplus - Postdoctoral Fellowships publication: 38th International Symposium on Theoretical Aspects of Computer Science publication_identifier: isbn: - 978-3-9597-7180-1 issn: - 1868-8969 publication_status: published publisher: Schloss Dagstuhl - Leibniz Zentrum für Informatik quality_controlled: '1' scopus_import: '1' status: public title: A Ramsey theorem for finite monoids tmp: image: /images/cc_by.png legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0) short: CC BY (4.0) type: conference user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8 volume: 187 year: '2021' ... --- _id: '9987' abstract: - lang: eng text: 'Stateless model checking (SMC) is one of the standard approaches to the verification of concurrent programs. As scheduling non-determinism creates exponentially large spaces of thread interleavings, SMC attempts to partition this space into equivalence classes and explore only a few representatives from each class. The efficiency of this approach depends on two factors: (a) the coarseness of the partitioning, and (b) the time to generate representatives in each class. For this reason, the search for coarse partitionings that are efficiently explorable is an active research challenge. In this work we present RVF-SMC , a new SMC algorithm that uses a novel reads-value-from (RVF) partitioning. Intuitively, two interleavings are deemed equivalent if they agree on the value obtained in each read event, and read events induce consistent causal orderings between them. The RVF partitioning is provably coarser than recent approaches based on Mazurkiewicz and “reads-from” partitionings. Our experimental evaluation reveals that RVF is quite often a very effective equivalence, as the underlying partitioning is exponentially coarser than other approaches. Moreover, RVF-SMC generates representatives very efficiently, as the reduction in the partitioning is often met with significant speed-ups in the model checking task.' acknowledgement: The research was partially funded by the ERC CoG 863818 (ForM-SMArt) and the Vienna Science and Technology Fund (WWTF) through project ICT15-003. alternative_title: - LNCS article_processing_charge: Yes author: - first_name: Pratyush full_name: Agarwal, Pratyush last_name: Agarwal - first_name: Krishnendu full_name: Chatterjee, Krishnendu id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87 last_name: Chatterjee orcid: 0000-0002-4561-241X - first_name: Shreya full_name: Pathak, Shreya last_name: Pathak - first_name: Andreas full_name: Pavlogiannis, Andreas id: 49704004-F248-11E8-B48F-1D18A9856A87 last_name: Pavlogiannis orcid: 0000-0002-8943-0722 - first_name: Viktor full_name: Toman, Viktor id: 3AF3DA7C-F248-11E8-B48F-1D18A9856A87 last_name: Toman orcid: 0000-0001-9036-063X citation: ama: 'Agarwal P, Chatterjee K, Pathak S, Pavlogiannis A, Toman V. Stateless model checking under a reads-value-from equivalence. In: 33rd International Conference on Computer-Aided Verification . Vol 12759. Springer Nature; 2021:341-366. doi:10.1007/978-3-030-81685-8_16' apa: 'Agarwal, P., Chatterjee, K., Pathak, S., Pavlogiannis, A., & Toman, V. (2021). Stateless model checking under a reads-value-from equivalence. In 33rd International Conference on Computer-Aided Verification (Vol. 12759, pp. 341–366). Virtual: Springer Nature. https://doi.org/10.1007/978-3-030-81685-8_16' chicago: Agarwal, Pratyush, Krishnendu Chatterjee, Shreya Pathak, Andreas Pavlogiannis, and Viktor Toman. “Stateless Model Checking under a Reads-Value-from Equivalence.” In 33rd International Conference on Computer-Aided Verification , 12759:341–66. Springer Nature, 2021. https://doi.org/10.1007/978-3-030-81685-8_16. ieee: P. Agarwal, K. Chatterjee, S. Pathak, A. Pavlogiannis, and V. Toman, “Stateless model checking under a reads-value-from equivalence,” in 33rd International Conference on Computer-Aided Verification , Virtual, 2021, vol. 12759, pp. 341–366. ista: 'Agarwal P, Chatterjee K, Pathak S, Pavlogiannis A, Toman V. 2021. Stateless model checking under a reads-value-from equivalence. 33rd International Conference on Computer-Aided Verification . CAV: Computer Aided Verification , LNCS, vol. 12759, 341–366.' mla: Agarwal, Pratyush, et al. “Stateless Model Checking under a Reads-Value-from Equivalence.” 33rd International Conference on Computer-Aided Verification , vol. 12759, Springer Nature, 2021, pp. 341–66, doi:10.1007/978-3-030-81685-8_16. short: P. Agarwal, K. Chatterjee, S. Pathak, A. Pavlogiannis, V. Toman, in:, 33rd International Conference on Computer-Aided Verification , Springer Nature, 2021, pp. 341–366. conference: end_date: 2021-07-23 location: Virtual name: 'CAV: Computer Aided Verification ' start_date: 2021-07-20 date_created: 2021-09-05T22:01:24Z date_published: 2021-07-15T00:00:00Z date_updated: 2023-09-07T13:30:27Z day: '15' ddc: - '000' department: - _id: KrCh doi: 10.1007/978-3-030-81685-8_16 ec_funded: 1 external_id: arxiv: - '2105.06424' isi: - '000698732400016' file: - access_level: open_access checksum: 4b346e5fbaa8b9bdf107819c7b2aadee content_type: application/pdf creator: dernst date_created: 2022-05-13T07:00:20Z date_updated: 2022-05-13T07:00:20Z file_id: '11368' file_name: 2021_LNCS_Agarwal.pdf file_size: 1516756 relation: main_file success: 1 file_date_updated: 2022-05-13T07:00:20Z has_accepted_license: '1' isi: 1 language: - iso: eng month: '07' oa: 1 oa_version: Published Version page: 341-366 project: - _id: 25892FC0-B435-11E9-9278-68D0E5697425 grant_number: ICT15-003 name: Efficient Algorithms for Computer Aided Verification - _id: 0599E47C-7A3F-11EA-A408-12923DDC885E call_identifier: H2020 grant_number: '863818' name: 'Formal Methods for Stochastic Models: Algorithms and Applications' publication: '33rd International Conference on Computer-Aided Verification ' publication_identifier: eisbn: - 978-3-030-81685-8 eissn: - 1611-3349 isbn: - 978-3-030-81684-1 issn: - 0302-9743 publication_status: published publisher: Springer Nature quality_controlled: '1' related_material: record: - id: '10199' relation: dissertation_contains status: public scopus_import: '1' status: public title: Stateless model checking under a reads-value-from equivalence tmp: image: /images/cc_by.png legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0) short: CC BY (4.0) type: conference user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8 volume: '12759 ' year: '2021' ... --- _id: '10191' abstract: - lang: eng text: "In this work we solve the algorithmic problem of consistency verification for the TSO and PSO memory models given a reads-from map, denoted VTSO-rf and VPSO-rf, respectively. For an execution of n events over k threads and d variables, we establish novel bounds that scale as nk+1 for TSO and as nk+1· min(nk2, 2k· d) for PSO. Moreover, based on our solution to these problems, we develop an SMC algorithm under TSO and PSO that uses the RF equivalence. The algorithm is exploration-optimal, in the sense that it is guaranteed to explore each class of the RF partitioning exactly once, and spends polynomial time per class when k is bounded. Finally, we implement all our algorithms in the SMC tool Nidhugg, and perform a large number of experiments over benchmarks from existing literature. Our experimental results show that our algorithms for VTSO-rf and VPSO-rf provide significant scalability improvements over standard alternatives. Moreover, when used for SMC, the RF partitioning is often much coarser than the standard Shasha-Snir partitioning for TSO/PSO, which yields a significant speedup in the model checking task.\r\n\r\n" acknowledgement: "The research was partially funded by the ERC CoG 863818 (ForM-SMArt) and the Vienna Science\r\nand Technology Fund (WWTF) through project ICT15-003." article_number: '164' article_processing_charge: No article_type: original author: - first_name: Truc Lam full_name: Bui, Truc Lam last_name: Bui - first_name: Krishnendu full_name: Chatterjee, Krishnendu id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87 last_name: Chatterjee orcid: 0000-0002-4561-241X - first_name: Tushar full_name: Gautam, Tushar last_name: Gautam - first_name: Andreas full_name: Pavlogiannis, Andreas id: 49704004-F248-11E8-B48F-1D18A9856A87 last_name: Pavlogiannis orcid: 0000-0002-8943-0722 - first_name: Viktor full_name: Toman, Viktor id: 3AF3DA7C-F248-11E8-B48F-1D18A9856A87 last_name: Toman orcid: 0000-0001-9036-063X citation: ama: Bui TL, Chatterjee K, Gautam T, Pavlogiannis A, Toman V. The reads-from equivalence for the TSO and PSO memory models. Proceedings of the ACM on Programming Languages. 2021;5(OOPSLA). doi:10.1145/3485541 apa: Bui, T. L., Chatterjee, K., Gautam, T., Pavlogiannis, A., & Toman, V. (2021). The reads-from equivalence for the TSO and PSO memory models. Proceedings of the ACM on Programming Languages. Association for Computing Machinery. https://doi.org/10.1145/3485541 chicago: Bui, Truc Lam, Krishnendu Chatterjee, Tushar Gautam, Andreas Pavlogiannis, and Viktor Toman. “The Reads-from Equivalence for the TSO and PSO Memory Models.” Proceedings of the ACM on Programming Languages. Association for Computing Machinery, 2021. https://doi.org/10.1145/3485541. ieee: T. L. Bui, K. Chatterjee, T. Gautam, A. Pavlogiannis, and V. Toman, “The reads-from equivalence for the TSO and PSO memory models,” Proceedings of the ACM on Programming Languages, vol. 5, no. OOPSLA. Association for Computing Machinery, 2021. ista: Bui TL, Chatterjee K, Gautam T, Pavlogiannis A, Toman V. 2021. The reads-from equivalence for the TSO and PSO memory models. Proceedings of the ACM on Programming Languages. 5(OOPSLA), 164. mla: Bui, Truc Lam, et al. “The Reads-from Equivalence for the TSO and PSO Memory Models.” Proceedings of the ACM on Programming Languages, vol. 5, no. OOPSLA, 164, Association for Computing Machinery, 2021, doi:10.1145/3485541. short: T.L. Bui, K. Chatterjee, T. Gautam, A. Pavlogiannis, V. Toman, Proceedings of the ACM on Programming Languages 5 (2021). date_created: 2021-10-27T15:05:34Z date_published: 2021-10-15T00:00:00Z date_updated: 2023-09-07T13:30:27Z day: '15' ddc: - '000' department: - _id: GradSch - _id: KrCh doi: 10.1145/3485541 ec_funded: 1 external_id: arxiv: - '2011.11763' file: - access_level: open_access checksum: 9d6dce7b611853c529bb7b1915ac579e content_type: application/pdf creator: cchlebak date_created: 2021-11-04T07:24:48Z date_updated: 2021-11-04T07:24:48Z file_id: '10215' file_name: 2021_ProcACMPL_Bui.pdf file_size: 2903485 relation: main_file success: 1 file_date_updated: 2021-11-04T07:24:48Z has_accepted_license: '1' intvolume: ' 5' issue: OOPSLA keyword: - safety - risk - reliability and quality - software language: - iso: eng month: '10' oa: 1 oa_version: Published Version project: - _id: 0599E47C-7A3F-11EA-A408-12923DDC885E call_identifier: H2020 grant_number: '863818' name: 'Formal Methods for Stochastic Models: Algorithms and Applications' - _id: 25892FC0-B435-11E9-9278-68D0E5697425 grant_number: ICT15-003 name: Efficient Algorithms for Computer Aided Verification publication: Proceedings of the ACM on Programming Languages publication_identifier: eissn: - 2475-1421 publication_status: published publisher: Association for Computing Machinery quality_controlled: '1' related_material: record: - id: '10199' relation: dissertation_contains status: public scopus_import: '1' status: public title: The reads-from equivalence for the TSO and PSO memory models tmp: image: /images/cc_by.png legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0) short: CC BY (4.0) type: journal_article user_id: 8b945eb4-e2f2-11eb-945a-df72226e66a9 volume: 5 year: '2021' ... --- _id: '10199' abstract: - lang: eng text: The design and verification of concurrent systems remains an open challenge due to the non-determinism that arises from the inter-process communication. In particular, concurrent programs are notoriously difficult both to be written correctly and to be analyzed formally, as complex thread interaction has to be accounted for. The difficulties are further exacerbated when concurrent programs get executed on modern-day hardware, which contains various buffering and caching mechanisms for efficiency reasons. This causes further subtle non-determinism, which can often produce very unintuitive behavior of the concurrent programs. Model checking is at the forefront of tackling the verification problem, where the task is to decide, given as input a concurrent system and a desired property, whether the system satisfies the property. The inherent state-space explosion problem in model checking of concurrent systems causes naïve explicit methods not to scale, thus more inventive methods are required. One such method is stateless model checking (SMC), which explores in memory-efficient manner the program executions rather than the states of the program. State-of-the-art SMC is typically coupled with partial order reduction (POR) techniques, which argue that certain executions provably produce identical system behavior, thus limiting the amount of executions one needs to explore in order to cover all possible behaviors. Another method to tackle the state-space explosion is symbolic model checking, where the considered techniques operate on a succinct implicit representation of the input system rather than explicitly accessing the system. In this thesis we present new techniques for verification of concurrent systems. We present several novel POR methods for SMC of concurrent programs under various models of semantics, some of which account for write-buffering mechanisms. Additionally, we present novel algorithms for symbolic model checking of finite-state concurrent systems, where the desired property of the systems is to ensure a formally defined notion of fairness. acknowledged_ssus: - _id: SSU alternative_title: - ISTA Thesis article_processing_charge: No author: - first_name: Viktor full_name: Toman, Viktor id: 3AF3DA7C-F248-11E8-B48F-1D18A9856A87 last_name: Toman orcid: 0000-0001-9036-063X citation: ama: Toman V. Improved verification techniques for concurrent systems. 2021. doi:10.15479/at:ista:10199 apa: Toman, V. (2021). Improved verification techniques for concurrent systems. Institute of Science and Technology Austria. https://doi.org/10.15479/at:ista:10199 chicago: Toman, Viktor. “Improved Verification Techniques for Concurrent Systems.” Institute of Science and Technology Austria, 2021. https://doi.org/10.15479/at:ista:10199. ieee: V. Toman, “Improved verification techniques for concurrent systems,” Institute of Science and Technology Austria, 2021. ista: Toman V. 2021. Improved verification techniques for concurrent systems. Institute of Science and Technology Austria. mla: Toman, Viktor. Improved Verification Techniques for Concurrent Systems. Institute of Science and Technology Austria, 2021, doi:10.15479/at:ista:10199. short: V. Toman, Improved Verification Techniques for Concurrent Systems, Institute of Science and Technology Austria, 2021. date_created: 2021-10-29T20:09:01Z date_published: 2021-10-31T00:00:00Z date_updated: 2023-09-19T09:59:54Z day: '31' ddc: - '000' degree_awarded: PhD department: - _id: GradSch - _id: KrCh doi: 10.15479/at:ista:10199 ec_funded: 1 file: - access_level: open_access checksum: 4f412a1ee60952221b499a4b1268df35 content_type: application/pdf creator: vtoman date_created: 2021-11-08T14:12:22Z date_updated: 2021-11-08T14:12:22Z file_id: '10225' file_name: toman_th_final.pdf file_size: 2915234 relation: main_file - access_level: closed checksum: 9584943f99127be2dd2963f6784c37d4 content_type: application/zip creator: vtoman date_created: 2021-11-08T14:12:46Z date_updated: 2021-11-09T09:00:50Z file_id: '10226' file_name: toman_thesis.zip file_size: 8616056 relation: source_file file_date_updated: 2021-11-09T09:00:50Z has_accepted_license: '1' keyword: - concurrency - verification - model checking language: - iso: eng month: '10' oa: 1 oa_version: Published Version page: '166' project: - _id: 2564DBCA-B435-11E9-9278-68D0E5697425 call_identifier: H2020 grant_number: '665385' name: International IST Doctoral Program - _id: 25F2ACDE-B435-11E9-9278-68D0E5697425 call_identifier: FWF grant_number: S11402-N23 name: Rigorous Systems Engineering - _id: 25892FC0-B435-11E9-9278-68D0E5697425 grant_number: ICT15-003 name: Efficient Algorithms for Computer Aided Verification - _id: 0599E47C-7A3F-11EA-A408-12923DDC885E call_identifier: H2020 grant_number: '863818' name: 'Formal Methods for Stochastic Models: Algorithms and Applications' publication_identifier: issn: - 2663-337X publication_status: published publisher: Institute of Science and Technology Austria related_material: record: - id: '10190' relation: part_of_dissertation status: public - id: '10191' relation: part_of_dissertation status: public - id: '9987' relation: part_of_dissertation status: public - id: '141' relation: part_of_dissertation status: public status: public supervisor: - first_name: Krishnendu full_name: Chatterjee, Krishnendu id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87 last_name: Chatterjee orcid: 0000-0002-4561-241X title: Improved verification techniques for concurrent systems type: dissertation user_id: c635000d-4b10-11ee-a964-aac5a93f6ac1 year: '2021' ... --- _id: '9293' abstract: - lang: eng text: 'We consider planning problems for graphs, Markov Decision Processes (MDPs), and games on graphs in an explicit state space. While graphs represent the most basic planning model, MDPs represent interaction with nature and games on graphs represent interaction with an adversarial environment. We consider two planning problems with k different target sets: (a) the coverage problem asks whether there is a plan for each individual target set; and (b) the sequential target reachability problem asks whether the targets can be reached in a given sequence. For the coverage problem, we present a linear-time algorithm for graphs, and quadratic conditional lower bound for MDPs and games on graphs. For the sequential target problem, we present a linear-time algorithm for graphs, a sub-quadratic algorithm for MDPs, and a quadratic conditional lower bound for games on graphs. Our results with conditional lower bounds, based on the boolean matrix multiplication (BMM) conjecture and strong exponential time hypothesis (SETH), establish (i) model-separation results showing that for the coverage problem MDPs and games on graphs are harder than graphs, and for the sequential reachability problem games on graphs are harder than MDPs and graphs; and (ii) problem-separation results showing that for MDPs the coverage problem is harder than the sequential target problem.' article_number: '103499' article_processing_charge: No article_type: original author: - first_name: Krishnendu full_name: Chatterjee, Krishnendu id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87 last_name: Chatterjee orcid: 0000-0002-4561-241X - first_name: Wolfgang full_name: Dvořák, Wolfgang last_name: Dvořák - first_name: Monika H full_name: Henzinger, Monika H id: 540c9bbd-f2de-11ec-812d-d04a5be85630 last_name: Henzinger orcid: 0000-0002-5008-6530 - first_name: Alexander full_name: Svozil, Alexander last_name: Svozil citation: ama: Chatterjee K, Dvořák W, Henzinger MH, Svozil A. Algorithms and conditional lower bounds for planning problems. Artificial Intelligence. 2021;297(8). doi:10.1016/j.artint.2021.103499 apa: Chatterjee, K., Dvořák, W., Henzinger, M. H., & Svozil, A. (2021). Algorithms and conditional lower bounds for planning problems. Artificial Intelligence. Elsevier. https://doi.org/10.1016/j.artint.2021.103499 chicago: Chatterjee, Krishnendu, Wolfgang Dvořák, Monika H Henzinger, and Alexander Svozil. “Algorithms and Conditional Lower Bounds for Planning Problems.” Artificial Intelligence. Elsevier, 2021. https://doi.org/10.1016/j.artint.2021.103499. ieee: K. Chatterjee, W. Dvořák, M. H. Henzinger, and A. Svozil, “Algorithms and conditional lower bounds for planning problems,” Artificial Intelligence, vol. 297, no. 8. Elsevier, 2021. ista: Chatterjee K, Dvořák W, Henzinger MH, Svozil A. 2021. Algorithms and conditional lower bounds for planning problems. Artificial Intelligence. 297(8), 103499. mla: Chatterjee, Krishnendu, et al. “Algorithms and Conditional Lower Bounds for Planning Problems.” Artificial Intelligence, vol. 297, no. 8, 103499, Elsevier, 2021, doi:10.1016/j.artint.2021.103499. short: K. Chatterjee, W. Dvořák, M.H. Henzinger, A. Svozil, Artificial Intelligence 297 (2021). date_created: 2021-03-28T22:01:40Z date_published: 2021-03-16T00:00:00Z date_updated: 2023-09-26T10:41:42Z day: '16' department: - _id: KrCh doi: 10.1016/j.artint.2021.103499 external_id: arxiv: - '1804.07031' isi: - '000657537500003' intvolume: ' 297' isi: 1 issue: '8' language: - iso: eng main_file_link: - open_access: '1' url: https://arxiv.org/abs/1804.07031 month: '03' oa: 1 oa_version: Preprint publication: Artificial Intelligence publication_identifier: issn: - 0004-3702 publication_status: published publisher: Elsevier quality_controlled: '1' related_material: record: - id: '35' relation: earlier_version status: public scopus_import: '1' status: public title: Algorithms and conditional lower bounds for planning problems type: journal_article user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87 volume: 297 year: '2021' ... --- _id: '9393' abstract: - lang: eng text: "We consider the core algorithmic problems related to verification of systems with respect to three classical quantitative properties, namely, the mean-payoff, the ratio, and the minimum initial credit for energy property. The algorithmic problem given a graph and a quantitative property asks to compute the optimal value (the infimum value over all traces) from every node of the graph. We consider graphs with bounded treewidth—a class that contains the control flow graphs of most programs. Let n denote the number of nodes of a graph, m the number of edges (for bounded treewidth \U0001D45A=\U0001D442(\U0001D45B)) and W the largest absolute value of the weights. Our main theoretical results are as follows. First, for the minimum initial credit problem we show that (1) for general graphs the problem can be solved in \U0001D442(\U0001D45B2⋅\U0001D45A) time and the associated decision problem in \U0001D442(\U0001D45B⋅\U0001D45A) time, improving the previous known \U0001D442(\U0001D45B3⋅\U0001D45A⋅log(\U0001D45B⋅\U0001D44A)) and \U0001D442(\U0001D45B2⋅\U0001D45A) bounds, respectively; and (2) for bounded treewidth graphs we present an algorithm that requires \U0001D442(\U0001D45B⋅log\U0001D45B) time. Second, for bounded treewidth graphs we present an algorithm that approximates the mean-payoff value within a factor of 1+\U0001D716 in time \U0001D442(\U0001D45B⋅log(\U0001D45B/\U0001D716)) as compared to the classical exact algorithms on general graphs that require quadratic time. Third, for the ratio property we present an algorithm that for bounded treewidth graphs works in time \U0001D442(\U0001D45B⋅log(|\U0001D44E⋅\U0001D44F|))=\U0001D442(\U0001D45B⋅log(\U0001D45B⋅\U0001D44A)), when the output is \U0001D44E\U0001D44F, as compared to the previously best known algorithm on general graphs with running time \U0001D442(\U0001D45B2⋅log(\U0001D45B⋅\U0001D44A)). We have implemented some of our algorithms and show that they present a significant speedup on standard benchmarks." acknowledgement: 'The research was partly supported by Austrian Science Fund (FWF) Grant No P23499- N23, FWF NFN Grant No S11407-N23 (RiSE/SHiNE), ERC Start Grant (279307: Graph Games), and Microsoft faculty fellows award.' article_processing_charge: No article_type: original author: - first_name: Krishnendu full_name: Chatterjee, Krishnendu id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87 last_name: Chatterjee orcid: 0000-0002-4561-241X - first_name: Rasmus full_name: Ibsen-Jensen, Rasmus id: 3B699956-F248-11E8-B48F-1D18A9856A87 last_name: Ibsen-Jensen orcid: 0000-0003-4783-0389 - first_name: Andreas full_name: Pavlogiannis, Andreas id: 49704004-F248-11E8-B48F-1D18A9856A87 last_name: Pavlogiannis orcid: 0000-0002-8943-0722 citation: ama: Chatterjee K, Ibsen-Jensen R, Pavlogiannis A. Faster algorithms for quantitative verification in bounded treewidth graphs. Formal Methods in System Design. 2021;57:401-428. doi:10.1007/s10703-021-00373-5 apa: Chatterjee, K., Ibsen-Jensen, R., & Pavlogiannis, A. (2021). Faster algorithms for quantitative verification in bounded treewidth graphs. Formal Methods in System Design. Springer. https://doi.org/10.1007/s10703-021-00373-5 chicago: Chatterjee, Krishnendu, Rasmus Ibsen-Jensen, and Andreas Pavlogiannis. “Faster Algorithms for Quantitative Verification in Bounded Treewidth Graphs.” Formal Methods in System Design. Springer, 2021. https://doi.org/10.1007/s10703-021-00373-5. ieee: K. Chatterjee, R. Ibsen-Jensen, and A. Pavlogiannis, “Faster algorithms for quantitative verification in bounded treewidth graphs,” Formal Methods in System Design, vol. 57. Springer, pp. 401–428, 2021. ista: Chatterjee K, Ibsen-Jensen R, Pavlogiannis A. 2021. Faster algorithms for quantitative verification in bounded treewidth graphs. Formal Methods in System Design. 57, 401–428. mla: Chatterjee, Krishnendu, et al. “Faster Algorithms for Quantitative Verification in Bounded Treewidth Graphs.” Formal Methods in System Design, vol. 57, Springer, 2021, pp. 401–28, doi:10.1007/s10703-021-00373-5. short: K. Chatterjee, R. Ibsen-Jensen, A. Pavlogiannis, Formal Methods in System Design 57 (2021) 401–428. date_created: 2021-05-16T22:01:47Z date_published: 2021-09-01T00:00:00Z date_updated: 2023-10-10T11:13:20Z day: '01' department: - _id: KrCh doi: 10.1007/s10703-021-00373-5 ec_funded: 1 external_id: arxiv: - '1504.07384' isi: - '000645490300001' intvolume: ' 57' isi: 1 language: - iso: eng main_file_link: - open_access: '1' url: https://arxiv.org/abs/1504.07384 month: '09' oa: 1 oa_version: Preprint page: 401-428 project: - _id: 2584A770-B435-11E9-9278-68D0E5697425 call_identifier: FWF grant_number: P 23499-N23 name: Modern Graph Algorithmic Techniques in Formal Verification - _id: 25832EC2-B435-11E9-9278-68D0E5697425 call_identifier: FWF grant_number: S 11407_N23 name: Rigorous Systems Engineering - _id: 2581B60A-B435-11E9-9278-68D0E5697425 call_identifier: FP7 grant_number: '279307' name: 'Quantitative Graph Games: Theory and Applications' - _id: 2587B514-B435-11E9-9278-68D0E5697425 name: Microsoft Research Faculty Fellowship publication: Formal Methods in System Design publication_identifier: eissn: - 1572-8102 issn: - 0925-9856 publication_status: published publisher: Springer quality_controlled: '1' scopus_import: '1' status: public title: Faster algorithms for quantitative verification in bounded treewidth graphs type: journal_article user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87 volume: 57 year: '2021' ... --- _id: '9644' abstract: - lang: eng text: 'We present a new approach to proving non-termination of non-deterministic integer programs. Our technique is rather simple but efficient. It relies on a purely syntactic reversal of the program''s transition system followed by a constraint-based invariant synthesis with constraints coming from both the original and the reversed transition system. The latter task is performed by a simple call to an off-the-shelf SMT-solver, which allows us to leverage the latest advances in SMT-solving. Moreover, our method offers a combination of features not present (as a whole) in previous approaches: it handles programs with non-determinism, provides relative completeness guarantees and supports programs with polynomial arithmetic. The experiments performed with our prototype tool RevTerm show that our approach, despite its simplicity and stronger theoretical guarantees, is at least on par with the state-of-the-art tools, often achieving a non-trivial improvement under a proper configuration of its parameters.' acknowledgement: We thank the anonymous reviewers for their helpful comments. This research was partially supported by the ERCCoG 863818 (ForM-SMArt) and the Czech Science Foundation grant No. GJ19-15134Y. article_processing_charge: No author: - first_name: Krishnendu full_name: Chatterjee, Krishnendu id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87 last_name: Chatterjee orcid: 0000-0002-4561-241X - first_name: Ehsan Kafshdar full_name: Goharshady, Ehsan Kafshdar last_name: Goharshady - first_name: Petr full_name: Novotný, Petr id: 3CC3B868-F248-11E8-B48F-1D18A9856A87 last_name: Novotný - first_name: Dorde full_name: Zikelic, Dorde id: 294AA7A6-F248-11E8-B48F-1D18A9856A87 last_name: Zikelic orcid: 0000-0002-4681-1699 citation: ama: 'Chatterjee K, Goharshady EK, Novotný P, Zikelic D. Proving non-termination by program reversal. In: Proceedings of the 42nd ACM SIGPLAN International Conference on Programming Language Design and Implementation. Association for Computing Machinery; 2021:1033-1048. doi:10.1145/3453483.3454093' apa: 'Chatterjee, K., Goharshady, E. K., Novotný, P., & Zikelic, D. (2021). Proving non-termination by program reversal. In Proceedings of the 42nd ACM SIGPLAN International Conference on Programming Language Design and Implementation (pp. 1033–1048). Online: Association for Computing Machinery. https://doi.org/10.1145/3453483.3454093' chicago: Chatterjee, Krishnendu, Ehsan Kafshdar Goharshady, Petr Novotný, and Dorde Zikelic. “Proving Non-Termination by Program Reversal.” In Proceedings of the 42nd ACM SIGPLAN International Conference on Programming Language Design and Implementation, 1033–48. Association for Computing Machinery, 2021. https://doi.org/10.1145/3453483.3454093. ieee: K. Chatterjee, E. K. Goharshady, P. Novotný, and D. Zikelic, “Proving non-termination by program reversal,” in Proceedings of the 42nd ACM SIGPLAN International Conference on Programming Language Design and Implementation, Online, 2021, pp. 1033–1048. ista: 'Chatterjee K, Goharshady EK, Novotný P, Zikelic D. 2021. Proving non-termination by program reversal. Proceedings of the 42nd ACM SIGPLAN International Conference on Programming Language Design and Implementation. PLDI: Programming Language Design and Implementation, 1033–1048.' mla: Chatterjee, Krishnendu, et al. “Proving Non-Termination by Program Reversal.” Proceedings of the 42nd ACM SIGPLAN International Conference on Programming Language Design and Implementation, Association for Computing Machinery, 2021, pp. 1033–48, doi:10.1145/3453483.3454093. short: K. Chatterjee, E.K. Goharshady, P. Novotný, D. Zikelic, in:, Proceedings of the 42nd ACM SIGPLAN International Conference on Programming Language Design and Implementation, Association for Computing Machinery, 2021, pp. 1033–1048. conference: end_date: 2021-06-26 location: Online name: 'PLDI: Programming Language Design and Implementation' start_date: 2021-06-20 date_created: 2021-07-11T22:01:17Z date_published: 2021-06-01T00:00:00Z date_updated: 2023-11-30T10:55:37Z day: '01' department: - _id: KrCh doi: 10.1145/3453483.3454093 ec_funded: 1 external_id: arxiv: - '2104.01189' isi: - '000723661700067' isi: 1 language: - iso: eng main_file_link: - open_access: '1' url: https://arxiv.org/abs/2104.01189 month: '06' oa: 1 oa_version: Preprint page: 1033-1048 project: - _id: 0599E47C-7A3F-11EA-A408-12923DDC885E call_identifier: H2020 grant_number: '863818' name: 'Formal Methods for Stochastic Models: Algorithms and Applications' publication: Proceedings of the 42nd ACM SIGPLAN International Conference on Programming Language Design and Implementation publication_identifier: isbn: - '9781450383912' publication_status: published publisher: Association for Computing Machinery quality_controlled: '1' related_material: record: - id: '14539' relation: dissertation_contains status: public scopus_import: '1' status: public title: Proving non-termination by program reversal type: conference user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8 year: '2021' ... --- _id: '10414' abstract: - lang: eng text: 'We consider the almost-sure (a.s.) termination problem for probabilistic programs, which are a stochastic extension of classical imperative programs. Lexicographic ranking functions provide a sound and practical approach for termination of non-probabilistic programs, and their extension to probabilistic programs is achieved via lexicographic ranking supermartingales (LexRSMs). However, LexRSMs introduced in the previous work have a limitation that impedes their automation: all of their components have to be non-negative in all reachable states. This might result in LexRSM not existing even for simple terminating programs. Our contributions are twofold: First, we introduce a generalization of LexRSMs which allows for some components to be negative. This standard feature of non-probabilistic termination proofs was hitherto not known to be sound in the probabilistic setting, as the soundness proof requires a careful analysis of the underlying stochastic process. Second, we present polynomial-time algorithms using our generalized LexRSMs for proving a.s. termination in broad classes of linear-arithmetic programs.' acknowledgement: This research was partially supported by the ERC CoG 863818 (ForM-SMArt), the Czech Science Foundation grant No. GJ19-15134Y, and the European Union’s Horizon 2020 research and innovation programme under the Marie Skłodowska-Curie Grant Agreement No. 665385. alternative_title: - LNCS article_processing_charge: No author: - first_name: Krishnendu full_name: Chatterjee, Krishnendu id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87 last_name: Chatterjee orcid: 0000-0002-4561-241X - first_name: Ehsan Kafshdar full_name: Goharshady, Ehsan Kafshdar last_name: Goharshady - first_name: Petr full_name: Novotný, Petr id: 3CC3B868-F248-11E8-B48F-1D18A9856A87 last_name: Novotný - first_name: Jiří full_name: Zárevúcky, Jiří last_name: Zárevúcky - first_name: Dorde full_name: Zikelic, Dorde id: 294AA7A6-F248-11E8-B48F-1D18A9856A87 last_name: Zikelic orcid: 0000-0002-4681-1699 citation: ama: 'Chatterjee K, Goharshady EK, Novotný P, Zárevúcky J, Zikelic D. On lexicographic proof rules for probabilistic termination. In: 24th International Symposium on Formal Methods. Vol 13047. Springer Nature; 2021:619-639. doi:10.1007/978-3-030-90870-6_33' apa: 'Chatterjee, K., Goharshady, E. K., Novotný, P., Zárevúcky, J., & Zikelic, D. (2021). On lexicographic proof rules for probabilistic termination. In 24th International Symposium on Formal Methods (Vol. 13047, pp. 619–639). Virtual: Springer Nature. https://doi.org/10.1007/978-3-030-90870-6_33' chicago: Chatterjee, Krishnendu, Ehsan Kafshdar Goharshady, Petr Novotný, Jiří Zárevúcky, and Dorde Zikelic. “On Lexicographic Proof Rules for Probabilistic Termination.” In 24th International Symposium on Formal Methods, 13047:619–39. Springer Nature, 2021. https://doi.org/10.1007/978-3-030-90870-6_33. ieee: K. Chatterjee, E. K. Goharshady, P. Novotný, J. Zárevúcky, and D. Zikelic, “On lexicographic proof rules for probabilistic termination,” in 24th International Symposium on Formal Methods, Virtual, 2021, vol. 13047, pp. 619–639. ista: 'Chatterjee K, Goharshady EK, Novotný P, Zárevúcky J, Zikelic D. 2021. On lexicographic proof rules for probabilistic termination. 24th International Symposium on Formal Methods. FM: Formal Methods, LNCS, vol. 13047, 619–639.' mla: Chatterjee, Krishnendu, et al. “On Lexicographic Proof Rules for Probabilistic Termination.” 24th International Symposium on Formal Methods, vol. 13047, Springer Nature, 2021, pp. 619–39, doi:10.1007/978-3-030-90870-6_33. short: K. Chatterjee, E.K. Goharshady, P. Novotný, J. Zárevúcky, D. Zikelic, in:, 24th International Symposium on Formal Methods, Springer Nature, 2021, pp. 619–639. conference: end_date: 2021-11-26 location: Virtual name: 'FM: Formal Methods' start_date: 2021-11-20 date_created: 2021-12-05T23:01:45Z date_published: 2021-11-10T00:00:00Z date_updated: 2024-01-17T08:19:41Z day: '10' department: - _id: KrCh doi: 10.1007/978-3-030-90870-6_33 ec_funded: 1 external_id: arxiv: - '2108.02188' isi: - '000758218600033' intvolume: ' 13047' isi: 1 language: - iso: eng main_file_link: - open_access: '1' url: https://arxiv.org/abs/2108.02188 month: '11' oa: 1 oa_version: Preprint page: 619-639 project: - _id: 0599E47C-7A3F-11EA-A408-12923DDC885E call_identifier: H2020 grant_number: '863818' name: 'Formal Methods for Stochastic Models: Algorithms and Applications' - _id: 2564DBCA-B435-11E9-9278-68D0E5697425 call_identifier: H2020 grant_number: '665385' name: International IST Doctoral Program publication: 24th International Symposium on Formal Methods publication_identifier: eisbn: - 978-3-030-90870-6 eissn: - 1611-3349 isbn: - 9-783-0309-0869-0 issn: - 0302-9743 publication_status: published publisher: Springer Nature quality_controlled: '1' related_material: record: - id: '14539' relation: dissertation_contains status: public - id: '14778' relation: later_version status: public scopus_import: '1' status: public title: On lexicographic proof rules for probabilistic termination type: conference user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87 volume: 13047 year: '2021' ... --- _id: '8934' abstract: - lang: eng text: "In this thesis, we consider several of the most classical and fundamental problems in static analysis and formal verification, including invariant generation, reachability analysis, termination analysis of probabilistic programs, data-flow analysis, quantitative analysis of Markov chains and Markov decision processes, and the problem of data packing in cache management.\r\nWe use techniques from parameterized complexity theory, polyhedral geometry, and real algebraic geometry to significantly improve the state-of-the-art, in terms of both scalability and completeness guarantees, for the mentioned problems. In some cases, our results are the first theoretical improvements for the respective problems in two or three decades." acknowledgement: 'The research was partially supported by an IBM PhD fellowship, a Facebook PhD fellowship, and DOC fellowship #24956 of the Austrian Academy of Sciences (OeAW).' alternative_title: - ISTA Thesis article_processing_charge: No author: - first_name: Amir Kafshdar full_name: Goharshady, Amir Kafshdar id: 391365CE-F248-11E8-B48F-1D18A9856A87 last_name: Goharshady orcid: 0000-0003-1702-6584 citation: ama: Goharshady AK. Parameterized and algebro-geometric advances in static program analysis. 2021. doi:10.15479/AT:ISTA:8934 apa: Goharshady, A. K. (2021). Parameterized and algebro-geometric advances in static program analysis. Institute of Science and Technology Austria. https://doi.org/10.15479/AT:ISTA:8934 chicago: Goharshady, Amir Kafshdar. “Parameterized and Algebro-Geometric Advances in Static Program Analysis.” Institute of Science and Technology Austria, 2021. https://doi.org/10.15479/AT:ISTA:8934. ieee: A. K. Goharshady, “Parameterized and algebro-geometric advances in static program analysis,” Institute of Science and Technology Austria, 2021. ista: Goharshady AK. 2021. Parameterized and algebro-geometric advances in static program analysis. Institute of Science and Technology Austria. mla: Goharshady, Amir Kafshdar. Parameterized and Algebro-Geometric Advances in Static Program Analysis. Institute of Science and Technology Austria, 2021, doi:10.15479/AT:ISTA:8934. short: A.K. Goharshady, Parameterized and Algebro-Geometric Advances in Static Program Analysis, Institute of Science and Technology Austria, 2021. date_created: 2020-12-10T12:17:07Z date_published: 2021-01-01T00:00:00Z date_updated: 2023-09-22T10:03:21Z day: '01' ddc: - '005' degree_awarded: PhD department: - _id: KrCh - _id: GradSch doi: 10.15479/AT:ISTA:8934 file: - access_level: open_access checksum: d1b9db3725aed34dadd81274aeb9426c content_type: application/pdf creator: akafshda date_created: 2020-12-22T20:08:44Z date_updated: 2021-12-23T23:30:04Z embargo: 2021-12-22 file_id: '8969' file_name: Thesis-pdfa.pdf file_size: 5251507 relation: main_file - access_level: closed checksum: 1661df7b393e6866d2460eba3c905130 content_type: application/zip creator: akafshda date_created: 2020-12-22T20:08:50Z date_updated: 2021-03-04T23:30:04Z embargo_to: open_access file_id: '8970' file_name: source.zip file_size: 10636756 relation: source_file file_date_updated: 2021-12-23T23:30:04Z has_accepted_license: '1' language: - iso: eng license: https://creativecommons.org/publicdomain/zero/1.0/ month: '01' oa: 1 oa_version: Published Version page: '278' project: - _id: 267066CE-B435-11E9-9278-68D0E5697425 name: Quantitative Analysis of Probablistic Systems with a focus on Crypto-currencies - _id: 266EEEC0-B435-11E9-9278-68D0E5697425 name: Quantitative Game-theoretic Analysis of Blockchain Applications and Smart Contracts publication_identifier: issn: - 2663-337X publication_status: published publisher: Institute of Science and Technology Austria related_material: record: - id: '1386' relation: part_of_dissertation status: public - id: '1437' relation: part_of_dissertation status: public - id: '311' relation: part_of_dissertation status: public - id: '6056' relation: part_of_dissertation status: public - id: '6380' relation: part_of_dissertation status: public - id: '639' relation: part_of_dissertation status: public - id: '66' relation: part_of_dissertation status: public - id: '6780' relation: part_of_dissertation status: public - id: '6918' relation: part_of_dissertation status: public - id: '7810' relation: part_of_dissertation status: public - id: '6175' relation: part_of_dissertation status: public - id: '6378' relation: part_of_dissertation status: public - id: '6490' relation: part_of_dissertation status: public - id: '7014' relation: part_of_dissertation status: public - id: '8089' relation: part_of_dissertation status: public - id: '8728' relation: part_of_dissertation status: public - id: '7158' relation: part_of_dissertation status: public - id: '5977' relation: part_of_dissertation status: public - id: '6009' relation: part_of_dissertation status: public - id: '6340' relation: part_of_dissertation status: public - id: '949' relation: part_of_dissertation status: public status: public supervisor: - first_name: Krishnendu full_name: Chatterjee, Krishnendu id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87 last_name: Chatterjee orcid: 0000-0002-4561-241X title: Parameterized and algebro-geometric advances in static program analysis tmp: image: /images/cc_0.png legal_code_url: https://creativecommons.org/publicdomain/zero/1.0/legalcode name: Creative Commons Public Domain Dedication (CC0 1.0) short: CC0 (1.0) type: dissertation user_id: c635000d-4b10-11ee-a964-aac5a93f6ac1 year: '2021' ... --- _id: '10293' abstract: - lang: eng text: "Indirect reciprocity in evolutionary game theory is a prominent mechanism for explaining the evolution of cooperation among unrelated individuals. In contrast to direct reciprocity, which is based on individuals meeting repeatedly, and conditionally cooperating by using their own experiences, indirect reciprocity is based on individuals’ reputations. If a player helps another, this increases the helper’s public standing, benefitting them in the future. This lets cooperation in the population emerge without individuals having to meet more than once. While the two modes of reciprocity are intertwined, they are difficult to compare. Thus, they are usually studied in isolation. Direct reciprocity can maintain cooperation with simple strategies, and is robust against noise even when players do not remember more\r\nthan their partner’s last action. Meanwhile, indirect reciprocity requires its successful strategies, or social norms, to be more complex. Exhaustive search previously identified eight such norms, called the “leading eight”, which excel at maintaining cooperation. However, as the first result of this thesis, we show that the leading eight break down once we remove the fundamental assumption that information is synchronized and public, such that everyone agrees on reputations. Once we consider a more realistic scenario of imperfect information, where reputations are private, and individuals occasionally misinterpret or miss observations, the leading eight do not promote cooperation anymore. Instead, minor initial disagreements can proliferate, fragmenting populations into subgroups. In a next step, we consider ways to mitigate this issue. We first explore whether introducing “generosity” can stabilize cooperation when players use the leading eight strategies in noisy environments. This approach of modifying strategies to include probabilistic elements for coping with errors is known to work well in direct reciprocity. However, as we show here, it fails for the more complex norms of indirect reciprocity. Imperfect information still prevents cooperation from evolving. On the other hand, we succeeded to show in this thesis that modifying the leading eight to use “quantitative assessment”, i.e. tracking reputation scores on a scale beyond good and bad, and making overall judgments of others based on a threshold, is highly successful, even when noise increases in the environment. Cooperation can flourish when reputations\r\nare more nuanced, and players have a broader understanding what it means to be “good.” Finally, we present a single theoretical framework that unites the two modes of reciprocity despite their differences. Within this framework, we identify a novel simple and successful strategy for indirect reciprocity, which can cope with noisy environments and has an analogue in direct reciprocity. We can also analyze decision making when different sources of information are available. Our results help highlight that for sustaining cooperation, already the most simple rules of reciprocity can be sufficient." alternative_title: - ISTA Thesis article_processing_charge: No author: - first_name: Laura full_name: Schmid, Laura id: 38B437DE-F248-11E8-B48F-1D18A9856A87 last_name: Schmid orcid: 0000-0002-6978-7329 citation: ama: Schmid L. Evolution of cooperation via (in)direct reciprocity under imperfect information. 2021. doi:10.15479/at:ista:10293 apa: Schmid, L. (2021). Evolution of cooperation via (in)direct reciprocity under imperfect information. Institute of Science and Technology Austria. https://doi.org/10.15479/at:ista:10293 chicago: Schmid, Laura. “Evolution of Cooperation via (in)Direct Reciprocity under Imperfect Information.” Institute of Science and Technology Austria, 2021. https://doi.org/10.15479/at:ista:10293. ieee: L. Schmid, “Evolution of cooperation via (in)direct reciprocity under imperfect information,” Institute of Science and Technology Austria, 2021. ista: Schmid L. 2021. Evolution of cooperation via (in)direct reciprocity under imperfect information. Institute of Science and Technology Austria. mla: Schmid, Laura. Evolution of Cooperation via (in)Direct Reciprocity under Imperfect Information. Institute of Science and Technology Austria, 2021, doi:10.15479/at:ista:10293. short: L. Schmid, Evolution of Cooperation via (in)Direct Reciprocity under Imperfect Information, Institute of Science and Technology Austria, 2021. date_created: 2021-11-15T17:12:57Z date_published: 2021-11-17T00:00:00Z date_updated: 2023-11-07T08:28:29Z day: '17' ddc: - '519' - '576' degree_awarded: PhD department: - _id: GradSch - _id: KrCh doi: 10.15479/at:ista:10293 ec_funded: 1 file: - access_level: closed checksum: 86a05b430756ca12ae8107b6e6f3c1e5 content_type: application/zip creator: lschmid date_created: 2021-11-18T12:41:46Z date_updated: 2022-12-20T23:30:08Z embargo_to: open_access file_id: '10305' file_name: submission_new.zip file_size: 29703124 relation: source_file - access_level: open_access checksum: d940af042e94660c6b6a7b4f0b184d47 content_type: application/pdf creator: lschmid date_created: 2021-11-18T12:59:15Z date_updated: 2022-12-20T23:30:08Z embargo: 2022-10-18 file_id: '10306' file_name: thesis_new_upload.pdf file_size: 8320985 relation: main_file file_date_updated: 2022-12-20T23:30:08Z has_accepted_license: '1' language: - iso: eng month: '11' oa: 1 oa_version: Published Version page: '171' project: - _id: 2581B60A-B435-11E9-9278-68D0E5697425 call_identifier: FP7 grant_number: '279307' name: 'Quantitative Graph Games: Theory and Applications' - _id: 0599E47C-7A3F-11EA-A408-12923DDC885E call_identifier: H2020 grant_number: '863818' name: 'Formal Methods for Stochastic Models: Algorithms and Applications' - _id: 25F42A32-B435-11E9-9278-68D0E5697425 call_identifier: FWF grant_number: Z211 name: The Wittgenstein Prize - _id: 2584A770-B435-11E9-9278-68D0E5697425 call_identifier: FWF grant_number: P 23499-N23 name: Modern Graph Algorithmic Techniques in Formal Verification - _id: 25832EC2-B435-11E9-9278-68D0E5697425 call_identifier: FWF grant_number: S 11407_N23 name: Rigorous Systems Engineering publication_identifier: issn: - 2663-337X publication_status: published publisher: Institute of Science and Technology Austria related_material: record: - id: '9997' relation: part_of_dissertation status: public - id: '2' relation: part_of_dissertation status: public - id: '9402' relation: part_of_dissertation status: public status: public supervisor: - first_name: Krishnendu full_name: Chatterjee, Krishnendu id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87 last_name: Chatterjee orcid: 0000-0002-4561-241X title: Evolution of cooperation via (in)direct reciprocity under imperfect information type: dissertation user_id: c635000d-4b10-11ee-a964-aac5a93f6ac1 year: '2021' ... --- _id: '9997' abstract: - lang: eng text: Indirect reciprocity is a mechanism for the evolution of cooperation based on social norms. This mechanism requires that individuals in a population observe and judge each other’s behaviors. Individuals with a good reputation are more likely to receive help from others. Previous work suggests that indirect reciprocity is only effective when all relevant information is reliable and publicly available. Otherwise, individuals may disagree on how to assess others, even if they all apply the same social norm. Such disagreements can lead to a breakdown of cooperation. Here we explore whether the predominantly studied ‘leading eight’ social norms of indirect reciprocity can be made more robust by equipping them with an element of generosity. To this end, we distinguish between two kinds of generosity. According to assessment generosity, individuals occasionally assign a good reputation to group members who would usually be regarded as bad. According to action generosity, individuals occasionally cooperate with group members with whom they would usually defect. Using individual-based simulations, we show that the two kinds of generosity have a very different effect on the resulting reputation dynamics. Assessment generosity tends to add to the overall noise and allows defectors to invade. In contrast, a limited amount of action generosity can be beneficial in a few cases. However, even when action generosity is beneficial, the respective simulations do not result in full cooperation. Our results suggest that while generosity can favor cooperation when individuals use the most simple strategies of reciprocity, it is disadvantageous when individuals use more complex social norms. acknowledgement: 'This work was supported by the European Research Council CoG 863818 (ForM-SMArt) (to K.C.) and the European Research Council Starting Grant 850529: E-DIRECT (to C.H.). L.S. received additional partial support by the Austrian Science Fund (FWF) under Grant Z211-N23 (Wittgenstein Award).' article_number: '17443' article_processing_charge: Yes article_type: original author: - first_name: Laura full_name: Schmid, Laura id: 38B437DE-F248-11E8-B48F-1D18A9856A87 last_name: Schmid orcid: 0000-0002-6978-7329 - first_name: Pouya full_name: Shati, Pouya last_name: Shati - first_name: Christian full_name: Hilbe, Christian last_name: Hilbe - first_name: Krishnendu full_name: Chatterjee, Krishnendu id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87 last_name: Chatterjee orcid: 0000-0002-4561-241X citation: ama: Schmid L, Shati P, Hilbe C, Chatterjee K. The evolution of indirect reciprocity under action and assessment generosity. Scientific Reports. 2021;11(1). doi:10.1038/s41598-021-96932-1 apa: Schmid, L., Shati, P., Hilbe, C., & Chatterjee, K. (2021). The evolution of indirect reciprocity under action and assessment generosity. Scientific Reports. Springer Nature. https://doi.org/10.1038/s41598-021-96932-1 chicago: Schmid, Laura, Pouya Shati, Christian Hilbe, and Krishnendu Chatterjee. “The Evolution of Indirect Reciprocity under Action and Assessment Generosity.” Scientific Reports. Springer Nature, 2021. https://doi.org/10.1038/s41598-021-96932-1. ieee: L. Schmid, P. Shati, C. Hilbe, and K. Chatterjee, “The evolution of indirect reciprocity under action and assessment generosity,” Scientific Reports, vol. 11, no. 1. Springer Nature, 2021. ista: Schmid L, Shati P, Hilbe C, Chatterjee K. 2021. The evolution of indirect reciprocity under action and assessment generosity. Scientific Reports. 11(1), 17443. mla: Schmid, Laura, et al. “The Evolution of Indirect Reciprocity under Action and Assessment Generosity.” Scientific Reports, vol. 11, no. 1, 17443, Springer Nature, 2021, doi:10.1038/s41598-021-96932-1. short: L. Schmid, P. Shati, C. Hilbe, K. Chatterjee, Scientific Reports 11 (2021). date_created: 2021-09-11T16:22:02Z date_published: 2021-08-31T00:00:00Z date_updated: 2024-03-27T23:30:44Z day: '31' ddc: - '003' department: - _id: GradSch - _id: KrCh doi: 10.1038/s41598-021-96932-1 ec_funded: 1 external_id: isi: - '000692406400018' pmid: - '34465830' file: - access_level: open_access checksum: 19df8816cf958b272b85841565c73182 content_type: application/pdf creator: cchlebak date_created: 2021-09-13T10:31:21Z date_updated: 2021-09-13T10:31:21Z file_id: '10006' file_name: 2021_ScientificReports_Schmid.pdf file_size: 2424943 relation: main_file success: 1 file_date_updated: 2021-09-13T10:31:21Z has_accepted_license: '1' intvolume: ' 11' isi: 1 issue: '1' keyword: - Multidisciplinary language: - iso: eng month: '08' oa: 1 oa_version: Published Version pmid: 1 project: - _id: 0599E47C-7A3F-11EA-A408-12923DDC885E call_identifier: H2020 grant_number: '863818' name: 'Formal Methods for Stochastic Models: Algorithms and Applications' - _id: 25F42A32-B435-11E9-9278-68D0E5697425 call_identifier: FWF grant_number: Z211 name: The Wittgenstein Prize publication: Scientific Reports publication_identifier: eissn: - 2045-2322 publication_status: published publisher: Springer Nature quality_controlled: '1' related_material: record: - id: '10293' relation: dissertation_contains status: public status: public title: The evolution of indirect reciprocity under action and assessment generosity tmp: image: /images/cc_by.png legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0) short: CC BY (4.0) type: journal_article user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8 volume: 11 year: '2021' ... --- _id: '9402' abstract: - lang: eng text: Direct and indirect reciprocity are key mechanisms for the evolution of cooperation. Direct reciprocity means that individuals use their own experience to decide whether to cooperate with another person. Indirect reciprocity means that they also consider the experiences of others. Although these two mechanisms are intertwined, they are typically studied in isolation. Here, we introduce a mathematical framework that allows us to explore both kinds of reciprocity simultaneously. We show that the well-known ‘generous tit-for-tat’ strategy of direct reciprocity has a natural analogue in indirect reciprocity, which we call ‘generous scoring’. Using an equilibrium analysis, we characterize under which conditions either of the two strategies can maintain cooperation. With simulations, we additionally explore which kind of reciprocity evolves when members of a population engage in social learning to adapt to their environment. Our results draw unexpected connections between direct and indirect reciprocity while highlighting important differences regarding their evolvability. acknowledgement: 'This work was supported by the European Research Council CoG 863818 (ForM-SMArt) (to K.C.), the European Research Council Start Grant 279307: Graph Games (to K.C.), and the European Research Council Starting Grant 850529: E-DIRECT (to C.H.). The funders had no role in study design, data collection and analysis, decision to publish or preparation of the manuscript.' article_processing_charge: No article_type: original author: - first_name: Laura full_name: Schmid, Laura id: 38B437DE-F248-11E8-B48F-1D18A9856A87 last_name: Schmid orcid: 0000-0002-6978-7329 - first_name: Krishnendu full_name: Chatterjee, Krishnendu id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87 last_name: Chatterjee orcid: 0000-0002-4561-241X - first_name: Christian full_name: Hilbe, Christian id: 2FDF8F3C-F248-11E8-B48F-1D18A9856A87 last_name: Hilbe orcid: 0000-0001-5116-955X - first_name: Martin A. full_name: Nowak, Martin A. last_name: Nowak citation: ama: Schmid L, Chatterjee K, Hilbe C, Nowak MA. A unified framework of direct and indirect reciprocity. Nature Human Behaviour. 2021;5(10):1292–1302. doi:10.1038/s41562-021-01114-8 apa: Schmid, L., Chatterjee, K., Hilbe, C., & Nowak, M. A. (2021). A unified framework of direct and indirect reciprocity. Nature Human Behaviour. Springer Nature. https://doi.org/10.1038/s41562-021-01114-8 chicago: Schmid, Laura, Krishnendu Chatterjee, Christian Hilbe, and Martin A. Nowak. “A Unified Framework of Direct and Indirect Reciprocity.” Nature Human Behaviour. Springer Nature, 2021. https://doi.org/10.1038/s41562-021-01114-8. ieee: L. Schmid, K. Chatterjee, C. Hilbe, and M. A. Nowak, “A unified framework of direct and indirect reciprocity,” Nature Human Behaviour, vol. 5, no. 10. Springer Nature, pp. 1292–1302, 2021. ista: Schmid L, Chatterjee K, Hilbe C, Nowak MA. 2021. A unified framework of direct and indirect reciprocity. Nature Human Behaviour. 5(10), 1292–1302. mla: Schmid, Laura, et al. “A Unified Framework of Direct and Indirect Reciprocity.” Nature Human Behaviour, vol. 5, no. 10, Springer Nature, 2021, pp. 1292–1302, doi:10.1038/s41562-021-01114-8. short: L. Schmid, K. Chatterjee, C. Hilbe, M.A. Nowak, Nature Human Behaviour 5 (2021) 1292–1302. date_created: 2021-05-18T16:56:57Z date_published: 2021-05-13T00:00:00Z date_updated: 2024-03-27T23:30:44Z day: '13' ddc: - '000' department: - _id: KrCh - _id: GradSch doi: 10.1038/s41562-021-01114-8 ec_funded: 1 external_id: isi: - '000650304000002' pmid: - '33986519' file: - access_level: open_access checksum: 34f55e173f90dc1dab731063458ac780 content_type: application/pdf creator: dernst date_created: 2023-11-07T08:27:23Z date_updated: 2023-11-07T08:27:23Z file_id: '14496' file_name: 2021_NatureHumanBehaviour_Schmid_accepted.pdf file_size: 5232761 relation: main_file success: 1 file_date_updated: 2023-11-07T08:27:23Z has_accepted_license: '1' intvolume: ' 5' isi: 1 issue: '10' language: - iso: eng month: '05' oa: 1 oa_version: Submitted Version page: 1292–1302 pmid: 1 project: - _id: 0599E47C-7A3F-11EA-A408-12923DDC885E call_identifier: H2020 grant_number: '863818' name: 'Formal Methods for Stochastic Models: Algorithms and Applications' - _id: 2581B60A-B435-11E9-9278-68D0E5697425 call_identifier: FP7 grant_number: '279307' name: 'Quantitative Graph Games: Theory and Applications' publication: Nature Human Behaviour publication_identifier: eissn: - 2397-3374 publication_status: published publisher: Springer Nature quality_controlled: '1' related_material: link: - description: News on IST Homepage relation: press_release url: https://ist.ac.at/en/news/the-emergence-of-cooperation/ record: - id: '10293' relation: dissertation_contains status: public scopus_import: '1' status: public title: A unified framework of direct and indirect reciprocity type: journal_article user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87 volume: 5 year: '2021' ... --- _id: '7346' abstract: - lang: eng text: 'The Price of Anarchy (PoA) is a well-established game-theoretic concept to shed light on coordination issues arising in open distributed systems. Leaving agents to selfishly optimize comes with the risk of ending up in sub-optimal states (in terms of performance and/or costs), compared to a centralized system design. However, the PoA relies on strong assumptions about agents'' rationality (e.g., resources and information) and interactions, whereas in many distributed systems agents interact locally with bounded resources. They do so repeatedly over time (in contrast to "one-shot games"), and their strategies may evolve. Using a more realistic evolutionary game model, this paper introduces a realized evolutionary Price of Anarchy (ePoA). The ePoA allows an exploration of equilibrium selection in dynamic distributed systems with multiple equilibria, based on local interactions of simple memoryless agents. Considering a fundamental game related to virus propagation on networks, we present analytical bounds on the ePoA in basic network topologies and for different strategy update dynamics. In particular, deriving stationary distributions of the stochastic evolutionary process, we find that the Nash equilibria are not always the most abundant states, and that different processes can feature significant off-equilibrium behavior, leading to a significantly higher ePoA compared to the PoA studied traditionally in the literature. ' alternative_title: - LIPIcs article_number: '21' article_processing_charge: No author: - first_name: Laura full_name: Schmid, Laura id: 38B437DE-F248-11E8-B48F-1D18A9856A87 last_name: Schmid orcid: 0000-0002-6978-7329 - first_name: Krishnendu full_name: Chatterjee, Krishnendu id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87 last_name: Chatterjee orcid: 0000-0002-4561-241X - first_name: Stefan full_name: Schmid, Stefan last_name: Schmid citation: ama: 'Schmid L, Chatterjee K, Schmid S. The evolutionary price of anarchy: Locally bounded agents in a dynamic virus game. In: Proceedings of the 23rd International Conference on Principles of Distributed Systems. Vol 153. Schloss Dagstuhl - Leibniz-Zentrum für Informatik; 2020. doi:10.4230/LIPIcs.OPODIS.2019.21' apa: 'Schmid, L., Chatterjee, K., & Schmid, S. (2020). The evolutionary price of anarchy: Locally bounded agents in a dynamic virus game. In Proceedings of the 23rd International Conference on Principles of Distributed Systems (Vol. 153). Neuchâtel, Switzerland: Schloss Dagstuhl - Leibniz-Zentrum für Informatik. https://doi.org/10.4230/LIPIcs.OPODIS.2019.21' chicago: 'Schmid, Laura, Krishnendu Chatterjee, and Stefan Schmid. “The Evolutionary Price of Anarchy: Locally Bounded Agents in a Dynamic Virus Game.” In Proceedings of the 23rd International Conference on Principles of Distributed Systems, Vol. 153. Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2020. https://doi.org/10.4230/LIPIcs.OPODIS.2019.21.' ieee: 'L. Schmid, K. Chatterjee, and S. Schmid, “The evolutionary price of anarchy: Locally bounded agents in a dynamic virus game,” in Proceedings of the 23rd International Conference on Principles of Distributed Systems, Neuchâtel, Switzerland, 2020, vol. 153.' ista: 'Schmid L, Chatterjee K, Schmid S. 2020. The evolutionary price of anarchy: Locally bounded agents in a dynamic virus game. Proceedings of the 23rd International Conference on Principles of Distributed Systems. OPODIS: International Conference on Principles of Distributed Systems, LIPIcs, vol. 153, 21.' mla: 'Schmid, Laura, et al. “The Evolutionary Price of Anarchy: Locally Bounded Agents in a Dynamic Virus Game.” Proceedings of the 23rd International Conference on Principles of Distributed Systems, vol. 153, 21, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2020, doi:10.4230/LIPIcs.OPODIS.2019.21.' short: L. Schmid, K. Chatterjee, S. Schmid, in:, Proceedings of the 23rd International Conference on Principles of Distributed Systems, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2020. conference: end_date: 2019-12-19 location: Neuchâtel, Switzerland name: 'OPODIS: International Conference on Principles of Distributed Systems' start_date: 2019-12-17 date_created: 2020-01-21T16:00:26Z date_published: 2020-02-10T00:00:00Z date_updated: 2023-02-23T13:05:49Z day: '10' ddc: - '000' department: - _id: KrCh doi: 10.4230/LIPIcs.OPODIS.2019.21 external_id: arxiv: - '1906.00110' file: - access_level: open_access checksum: 9a91916ac2c21ab42458fcda39ef0b8d content_type: application/pdf creator: dernst date_created: 2020-03-23T09:14:06Z date_updated: 2020-07-14T12:47:56Z file_id: '7608' file_name: 2019_LIPIcS_Schmid.pdf file_size: 630752 relation: main_file file_date_updated: 2020-07-14T12:47:56Z has_accepted_license: '1' intvolume: ' 153' language: - iso: eng month: '02' oa: 1 oa_version: Preprint project: - _id: 25832EC2-B435-11E9-9278-68D0E5697425 call_identifier: FWF grant_number: S 11407_N23 name: Rigorous Systems Engineering publication: Proceedings of the 23rd International Conference on Principles of Distributed Systems publication_status: published publisher: Schloss Dagstuhl - Leibniz-Zentrum für Informatik quality_controlled: '1' scopus_import: '1' status: public title: 'The evolutionary price of anarchy: Locally bounded agents in a dynamic virus game' tmp: image: /images/cc_by.png legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0) short: CC BY (4.0) type: conference user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87 volume: 153 year: '2020' ... --- _id: '8600' abstract: - lang: eng text: 'A vector addition system with states (VASS) consists of a finite set of states and counters. A transition changes the current state to the next state, and every counter is either incremented, or decremented, or left unchanged. A state and value for each counter is a configuration; and a computation is an infinite sequence of configurations with transitions between successive configurations. A probabilistic VASS consists of a VASS along with a probability distribution over the transitions for each state. Qualitative properties such as state and configuration reachability have been widely studied for VASS. In this work we consider multi-dimensional long-run average objectives for VASS and probabilistic VASS. For a counter, the cost of a configuration is the value of the counter; and the long-run average value of a computation for the counter is the long-run average of the costs of the configurations in the computation. The multi-dimensional long-run average problem given a VASS and a threshold value for each counter, asks whether there is a computation such that for each counter the long-run average value for the counter does not exceed the respective threshold. For probabilistic VASS, instead of the existence of a computation, we consider whether the expected long-run average value for each counter does not exceed the respective threshold. Our main results are as follows: we show that the multi-dimensional long-run average problem (a) is NP-complete for integer-valued VASS; (b) is undecidable for natural-valued VASS (i.e., nonnegative counters); and (c) can be solved in polynomial time for probabilistic integer-valued VASS, and probabilistic natural-valued VASS when all computations are non-terminating.' alternative_title: - LIPIcs article_number: '23' article_processing_charge: No author: - first_name: Krishnendu full_name: Chatterjee, Krishnendu id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87 last_name: Chatterjee orcid: 0000-0002-4561-241X - first_name: Thomas A full_name: Henzinger, Thomas A id: 40876CD8-F248-11E8-B48F-1D18A9856A87 last_name: Henzinger orcid: 0000-0002-2985-7724 - first_name: Jan full_name: Otop, Jan id: 2FC5DA74-F248-11E8-B48F-1D18A9856A87 last_name: Otop citation: ama: 'Chatterjee K, Henzinger TA, Otop J. Multi-dimensional long-run average problems for vector addition systems with states. In: 31st International Conference on Concurrency Theory. Vol 171. Schloss Dagstuhl - Leibniz-Zentrum für Informatik; 2020. doi:10.4230/LIPIcs.CONCUR.2020.23' apa: 'Chatterjee, K., Henzinger, T. A., & Otop, J. (2020). Multi-dimensional long-run average problems for vector addition systems with states. In 31st International Conference on Concurrency Theory (Vol. 171). Virtual: Schloss Dagstuhl - Leibniz-Zentrum für Informatik. https://doi.org/10.4230/LIPIcs.CONCUR.2020.23' chicago: Chatterjee, Krishnendu, Thomas A Henzinger, and Jan Otop. “Multi-Dimensional Long-Run Average Problems for Vector Addition Systems with States.” In 31st International Conference on Concurrency Theory, Vol. 171. Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2020. https://doi.org/10.4230/LIPIcs.CONCUR.2020.23. ieee: K. Chatterjee, T. A. Henzinger, and J. Otop, “Multi-dimensional long-run average problems for vector addition systems with states,” in 31st International Conference on Concurrency Theory, Virtual, 2020, vol. 171. ista: 'Chatterjee K, Henzinger TA, Otop J. 2020. Multi-dimensional long-run average problems for vector addition systems with states. 31st International Conference on Concurrency Theory. CONCUR: Conference on Concurrency Theory, LIPIcs, vol. 171, 23.' mla: Chatterjee, Krishnendu, et al. “Multi-Dimensional Long-Run Average Problems for Vector Addition Systems with States.” 31st International Conference on Concurrency Theory, vol. 171, 23, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2020, doi:10.4230/LIPIcs.CONCUR.2020.23. short: K. Chatterjee, T.A. Henzinger, J. Otop, in:, 31st International Conference on Concurrency Theory, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2020. conference: end_date: 2020-09-04 location: Virtual name: 'CONCUR: Conference on Concurrency Theory' start_date: 2020-09-01 date_created: 2020-10-04T22:01:36Z date_published: 2020-08-06T00:00:00Z date_updated: 2021-01-12T08:20:15Z day: '06' ddc: - '000' department: - _id: KrCh - _id: ToHe doi: 10.4230/LIPIcs.CONCUR.2020.23 external_id: arxiv: - '2007.08917' file: - access_level: open_access checksum: 5039752f644c4b72b9361d21a5e31baf content_type: application/pdf creator: dernst date_created: 2020-10-05T14:04:25Z date_updated: 2020-10-05T14:04:25Z file_id: '8610' file_name: 2020_LIPIcsCONCUR_Chatterjee.pdf file_size: 601231 relation: main_file success: 1 file_date_updated: 2020-10-05T14:04:25Z has_accepted_license: '1' intvolume: ' 171' language: - iso: eng license: https://creativecommons.org/licenses/by/3.0/ month: '08' oa: 1 oa_version: Published Version project: - _id: 25832EC2-B435-11E9-9278-68D0E5697425 call_identifier: FWF grant_number: S 11407_N23 name: Rigorous Systems Engineering - _id: 25F2ACDE-B435-11E9-9278-68D0E5697425 call_identifier: FWF grant_number: S11402-N23 name: Rigorous Systems Engineering - _id: 25F42A32-B435-11E9-9278-68D0E5697425 call_identifier: FWF grant_number: Z211 name: The Wittgenstein Prize publication: 31st International Conference on Concurrency Theory publication_identifier: isbn: - '9783959771603' issn: - '18688969' publication_status: published publisher: Schloss Dagstuhl - Leibniz-Zentrum für Informatik quality_controlled: '1' scopus_import: '1' status: public title: Multi-dimensional long-run average problems for vector addition systems with states tmp: image: /images/cc_by.png legal_code_url: https://creativecommons.org/licenses/by/3.0/legalcode name: Creative Commons Attribution 3.0 Unported (CC BY 3.0) short: CC BY (3.0) type: conference user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87 volume: 171 year: '2020' ... --- _id: '8533' abstract: - lang: eng text: Game of Life is a simple and elegant model to study dynamical system over networks. The model consists of a graph where every vertex has one of two types, namely, dead or alive. A configuration is a mapping of the vertices to the types. An update rule describes how the type of a vertex is updated given the types of its neighbors. In every round, all vertices are updated synchronously, which leads to a configuration update. While in general, Game of Life allows a broad range of update rules, we focus on two simple families of update rules, namely, underpopulation and overpopulation, that model several interesting dynamics studied in the literature. In both settings, a dead vertex requires at least a desired number of live neighbors to become alive. For underpopulation (resp., overpopulation), a live vertex requires at least (resp. at most) a desired number of live neighbors to remain alive. We study the basic computation problems, e.g., configuration reachability, for these two families of rules. For underpopulation rules, we show that these problems can be solved in polynomial time, whereas for overpopulation rules they are PSPACE-complete. acknowledgement: "Krishnendu Chatterjee: The research was partially supported by the Vienna Science and\r\nTechnology Fund (WWTF) Project ICT15-003.\r\nIsmaël Jecker: This project has received funding from the European Union’s Horizon 2020 research\r\nand innovation programme under the Marie Skłodowska-Curie Grant Agreement No. 754411." alternative_title: - LIPIcs article_number: 22:1-22:13 article_processing_charge: No author: - first_name: Krishnendu full_name: Chatterjee, Krishnendu id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87 last_name: Chatterjee orcid: 0000-0002-4561-241X - first_name: Rasmus full_name: Ibsen-Jensen, Rasmus id: 3B699956-F248-11E8-B48F-1D18A9856A87 last_name: Ibsen-Jensen orcid: 0000-0003-4783-0389 - first_name: Ismael R full_name: Jecker, Ismael R id: 85D7C63E-7D5D-11E9-9C0F-98C4E5697425 last_name: Jecker - first_name: Jakub full_name: Svoboda, Jakub id: 130759D2-D7DD-11E9-87D2-DE0DE6697425 last_name: Svoboda citation: ama: 'Chatterjee K, Ibsen-Jensen R, Jecker IR, Svoboda J. Simplified game of life: Algorithms and complexity. In: 45th International Symposium on Mathematical Foundations of Computer Science. Vol 170. Schloss Dagstuhl - Leibniz-Zentrum für Informatik; 2020. doi:10.4230/LIPIcs.MFCS.2020.22' apa: 'Chatterjee, K., Ibsen-Jensen, R., Jecker, I. R., & Svoboda, J. (2020). Simplified game of life: Algorithms and complexity. In 45th International Symposium on Mathematical Foundations of Computer Science (Vol. 170). Prague, Czech Republic: Schloss Dagstuhl - Leibniz-Zentrum für Informatik. https://doi.org/10.4230/LIPIcs.MFCS.2020.22' chicago: 'Chatterjee, Krishnendu, Rasmus Ibsen-Jensen, Ismael R Jecker, and Jakub Svoboda. “Simplified Game of Life: Algorithms and Complexity.” In 45th International Symposium on Mathematical Foundations of Computer Science, Vol. 170. Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2020. https://doi.org/10.4230/LIPIcs.MFCS.2020.22.' ieee: 'K. Chatterjee, R. Ibsen-Jensen, I. R. Jecker, and J. Svoboda, “Simplified game of life: Algorithms and complexity,” in 45th International Symposium on Mathematical Foundations of Computer Science, Prague, Czech Republic, 2020, vol. 170.' ista: 'Chatterjee K, Ibsen-Jensen R, Jecker IR, Svoboda J. 2020. Simplified game of life: Algorithms and complexity. 45th International Symposium on Mathematical Foundations of Computer Science. MFCS: Symposium on Mathematical Foundations of Computer Science, LIPIcs, vol. 170, 22:1-22:13.' mla: 'Chatterjee, Krishnendu, et al. “Simplified Game of Life: Algorithms and Complexity.” 45th International Symposium on Mathematical Foundations of Computer Science, vol. 170, 22:1-22:13, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2020, doi:10.4230/LIPIcs.MFCS.2020.22.' short: K. Chatterjee, R. Ibsen-Jensen, I.R. Jecker, J. Svoboda, in:, 45th International Symposium on Mathematical Foundations of Computer Science, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2020. conference: end_date: 2020-08-28 location: Prague, Czech Republic name: 'MFCS: Symposium on Mathematical Foundations of Computer Science' start_date: 2020-08-24 date_created: 2020-09-20T22:01:36Z date_published: 2020-08-18T00:00:00Z date_updated: 2021-01-12T08:19:55Z day: '18' ddc: - '000' department: - _id: KrCh doi: 10.4230/LIPIcs.MFCS.2020.22 ec_funded: 1 external_id: arxiv: - '2007.02894' file: - access_level: open_access checksum: bbd7c4f55d45f2ff2a0a4ef0e10a77b1 content_type: application/pdf creator: dernst date_created: 2020-09-21T13:57:34Z date_updated: 2020-09-21T13:57:34Z file_id: '8550' file_name: 2020_LIPIcs_Chatterjee.pdf file_size: 491374 relation: main_file success: 1 file_date_updated: 2020-09-21T13:57:34Z has_accepted_license: '1' intvolume: ' 170' language: - iso: eng month: '08' oa: 1 oa_version: Published Version project: - _id: 25892FC0-B435-11E9-9278-68D0E5697425 grant_number: ICT15-003 name: Efficient Algorithms for Computer Aided Verification - _id: 260C2330-B435-11E9-9278-68D0E5697425 call_identifier: H2020 grant_number: '754411' name: ISTplus - Postdoctoral Fellowships publication: 45th International Symposium on Mathematical Foundations of Computer Science publication_identifier: isbn: - '9783959771597' issn: - '18688969' publication_status: published publisher: Schloss Dagstuhl - Leibniz-Zentrum für Informatik quality_controlled: '1' scopus_import: '1' status: public title: 'Simplified game of life: Algorithms and complexity' tmp: image: /images/cc_by.png legal_code_url: https://creativecommons.org/licenses/by/3.0/legalcode name: Creative Commons Attribution 3.0 Unported (CC BY 3.0) short: CC BY (3.0) type: conference user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87 volume: 170 year: '2020' ... --- _id: '8534' abstract: - lang: eng text: A regular language L of finite words is composite if there are regular languages L₁,L₂,…,L_t such that L = ⋂_{i = 1}^t L_i and the index (number of states in a minimal DFA) of every language L_i is strictly smaller than the index of L. Otherwise, L is prime. Primality of regular languages was introduced and studied in [O. Kupferman and J. Mosheiff, 2015], where the complexity of deciding the primality of the language of a given DFA was left open, with a doubly-exponential gap between the upper and lower bounds. We study primality for unary regular languages, namely regular languages with a singleton alphabet. A unary language corresponds to a subset of ℕ, making the study of unary prime languages closer to that of primality in number theory. We show that the setting of languages is richer. In particular, while every composite number is the product of two smaller numbers, the number t of languages necessary to decompose a composite unary language induces a strict hierarchy. In addition, a primality witness for a unary language L, namely a word that is not in L but is in all products of languages that contain L and have an index smaller than L’s, may be of exponential length. Still, we are able to characterize compositionality by structural properties of a DFA for L, leading to a LogSpace algorithm for primality checking of unary DFAs. acknowledgement: "Ismaël Jecker: This project has received funding from the European Union’s Horizon\r\n2020 research and innovation programme under the Marie Skłodowska-Curie Grant Agreement No.\r\n754411. Nicolas Mazzocchi: PhD fellowship FRIA from the F.R.S.-FNRS." alternative_title: - LIPIcs article_number: 51:1-51:12 article_processing_charge: No author: - first_name: Ismael R full_name: Jecker, Ismael R id: 85D7C63E-7D5D-11E9-9C0F-98C4E5697425 last_name: Jecker - first_name: Orna full_name: Kupferman, Orna last_name: Kupferman - first_name: Nicolas full_name: Mazzocchi, Nicolas last_name: Mazzocchi citation: ama: 'Jecker IR, Kupferman O, Mazzocchi N. Unary prime languages. In: 45th International Symposium on Mathematical Foundations of Computer Science. Vol 170. Schloss Dagstuhl - Leibniz-Zentrum für Informatik; 2020. doi:10.4230/LIPIcs.MFCS.2020.51' apa: 'Jecker, I. R., Kupferman, O., & Mazzocchi, N. (2020). Unary prime languages. In 45th International Symposium on Mathematical Foundations of Computer Science (Vol. 170). Prague, Czech Republic: Schloss Dagstuhl - Leibniz-Zentrum für Informatik. https://doi.org/10.4230/LIPIcs.MFCS.2020.51' chicago: Jecker, Ismael R, Orna Kupferman, and Nicolas Mazzocchi. “Unary Prime Languages.” In 45th International Symposium on Mathematical Foundations of Computer Science, Vol. 170. Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2020. https://doi.org/10.4230/LIPIcs.MFCS.2020.51. ieee: I. R. Jecker, O. Kupferman, and N. Mazzocchi, “Unary prime languages,” in 45th International Symposium on Mathematical Foundations of Computer Science, Prague, Czech Republic, 2020, vol. 170. ista: 'Jecker IR, Kupferman O, Mazzocchi N. 2020. Unary prime languages. 45th International Symposium on Mathematical Foundations of Computer Science. MFCS: Symposium on Mathematical Foundations of Computer Science, LIPIcs, vol. 170, 51:1-51:12.' mla: Jecker, Ismael R., et al. “Unary Prime Languages.” 45th International Symposium on Mathematical Foundations of Computer Science, vol. 170, 51:1-51:12, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2020, doi:10.4230/LIPIcs.MFCS.2020.51. short: I.R. Jecker, O. Kupferman, N. Mazzocchi, in:, 45th International Symposium on Mathematical Foundations of Computer Science, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2020. conference: end_date: 2020-08-28 location: Prague, Czech Republic name: 'MFCS: Symposium on Mathematical Foundations of Computer Science' start_date: 2020-08-24 date_created: 2020-09-20T22:01:36Z date_published: 2020-08-18T00:00:00Z date_updated: 2021-01-12T08:19:56Z day: '18' ddc: - '000' department: - _id: KrCh doi: 10.4230/LIPIcs.MFCS.2020.51 ec_funded: 1 file: - access_level: open_access checksum: 2dc9e2fad6becd4563aef3e27a473f70 content_type: application/pdf creator: dernst date_created: 2020-09-21T14:17:08Z date_updated: 2020-09-21T14:17:08Z file_id: '8552' file_name: 2020_LIPIcsMFCS_Jecker.pdf file_size: 597977 relation: main_file success: 1 file_date_updated: 2020-09-21T14:17:08Z has_accepted_license: '1' intvolume: ' 170' language: - iso: eng month: '08' oa: 1 oa_version: Published Version project: - _id: 260C2330-B435-11E9-9278-68D0E5697425 call_identifier: H2020 grant_number: '754411' name: ISTplus - Postdoctoral Fellowships publication: 45th International Symposium on Mathematical Foundations of Computer Science publication_identifier: isbn: - '9783959771597' issn: - '18688969' publication_status: published publisher: Schloss Dagstuhl - Leibniz-Zentrum für Informatik quality_controlled: '1' scopus_import: '1' status: public title: Unary prime languages tmp: image: /images/cc_by.png legal_code_url: https://creativecommons.org/licenses/by/3.0/legalcode name: Creative Commons Attribution 3.0 Unported (CC BY 3.0) short: CC BY (3.0) type: conference user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87 volume: 170 year: '2020' ... --- _id: '7955' abstract: - lang: eng text: Simple stochastic games are turn-based 2½-player games with a reachability objective. The basic question asks whether one player can ensure reaching a given target with at least a given probability. A natural extension is games with a conjunction of such conditions as objective. Despite a plethora of recent results on the analysis of systems with multiple objectives, the decidability of this basic problem remains open. In this paper, we present an algorithm approximating the Pareto frontier of the achievable values to a given precision. Moreover, it is an anytime algorithm, meaning it can be stopped at any time returning the current approximation and its error bound. acknowledgement: "Pranav Ashok, Jan Křetínský and Maximilian Weininger were funded in part by TUM IGSSE Grant 10.06 (PARSEC) and the German Research Foundation (DFG) project KR 4890/2-1\r\n“Statistical Unbounded Verification”. Krishnendu Chatterjee was supported by the ERC CoG 863818 (ForM-SMArt) and Vienna Science and Technology Fund (WWTF) Project ICT15-\r\n003. Tobias Winkler was supported by the RTG 2236 UnRAVe." article_processing_charge: No author: - first_name: Pranav full_name: Ashok, Pranav last_name: Ashok - first_name: Krishnendu full_name: Chatterjee, Krishnendu id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87 last_name: Chatterjee orcid: 0000-0002-4561-241X - first_name: Jan full_name: Kretinsky, Jan last_name: Kretinsky - first_name: Maximilian full_name: Weininger, Maximilian last_name: Weininger - first_name: Tobias full_name: Winkler, Tobias last_name: Winkler citation: ama: 'Ashok P, Chatterjee K, Kretinsky J, Weininger M, Winkler T. Approximating values of generalized-reachability stochastic games. In: Proceedings of the 35th Annual ACM/IEEE Symposium on Logic in Computer Science . Association for Computing Machinery; 2020:102-115. doi:10.1145/3373718.3394761' apa: 'Ashok, P., Chatterjee, K., Kretinsky, J., Weininger, M., & Winkler, T. (2020). Approximating values of generalized-reachability stochastic games. In Proceedings of the 35th Annual ACM/IEEE Symposium on Logic in Computer Science (pp. 102–115). Saarbrücken, Germany: Association for Computing Machinery. https://doi.org/10.1145/3373718.3394761' chicago: Ashok, Pranav, Krishnendu Chatterjee, Jan Kretinsky, Maximilian Weininger, and Tobias Winkler. “Approximating Values of Generalized-Reachability Stochastic Games.” In Proceedings of the 35th Annual ACM/IEEE Symposium on Logic in Computer Science , 102–15. Association for Computing Machinery, 2020. https://doi.org/10.1145/3373718.3394761. ieee: P. Ashok, K. Chatterjee, J. Kretinsky, M. Weininger, and T. Winkler, “Approximating values of generalized-reachability stochastic games,” in Proceedings of the 35th Annual ACM/IEEE Symposium on Logic in Computer Science , Saarbrücken, Germany, 2020, pp. 102–115. ista: 'Ashok P, Chatterjee K, Kretinsky J, Weininger M, Winkler T. 2020. Approximating values of generalized-reachability stochastic games. Proceedings of the 35th Annual ACM/IEEE Symposium on Logic in Computer Science . LICS: Symposium on Logic in Computer Science, 102–115.' mla: Ashok, Pranav, et al. “Approximating Values of Generalized-Reachability Stochastic Games.” Proceedings of the 35th Annual ACM/IEEE Symposium on Logic in Computer Science , Association for Computing Machinery, 2020, pp. 102–15, doi:10.1145/3373718.3394761. short: P. Ashok, K. Chatterjee, J. Kretinsky, M. Weininger, T. Winkler, in:, Proceedings of the 35th Annual ACM/IEEE Symposium on Logic in Computer Science , Association for Computing Machinery, 2020, pp. 102–115. conference: end_date: 2020-07-11 location: Saarbrücken, Germany name: 'LICS: Symposium on Logic in Computer Science' start_date: 2020-07-08 date_created: 2020-06-14T22:00:48Z date_published: 2020-07-08T00:00:00Z date_updated: 2023-08-21T08:24:36Z day: '08' ddc: - '000' department: - _id: KrCh doi: 10.1145/3373718.3394761 ec_funded: 1 external_id: arxiv: - '1908.05106' isi: - '000665014900010' file: - access_level: open_access checksum: d0d0288fe991dd16cf5f02598b794240 content_type: application/pdf creator: dernst date_created: 2020-11-25T09:38:14Z date_updated: 2020-11-25T09:38:14Z file_id: '8804' file_name: 2020_LICS_Ashok.pdf file_size: 1001395 relation: main_file success: 1 file_date_updated: 2020-11-25T09:38:14Z has_accepted_license: '1' isi: 1 language: - iso: eng month: '07' oa: 1 oa_version: Published Version page: 102-115 project: - _id: 0599E47C-7A3F-11EA-A408-12923DDC885E call_identifier: H2020 grant_number: '863818' name: 'Formal Methods for Stochastic Models: Algorithms and Applications' - _id: 25892FC0-B435-11E9-9278-68D0E5697425 grant_number: ICT15-003 name: Efficient Algorithms for Computer Aided Verification publication: 'Proceedings of the 35th Annual ACM/IEEE Symposium on Logic in Computer Science ' publication_identifier: isbn: - '9781450371049' publication_status: published publisher: Association for Computing Machinery quality_controlled: '1' scopus_import: '1' status: public title: Approximating values of generalized-reachability stochastic games type: conference user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8 year: '2020' ... --- _id: '8767' abstract: - lang: eng text: Resources are rarely distributed uniformly within a population. Heterogeneity in the concentration of a drug, the quality of breeding sites, or wealth can all affect evolutionary dynamics. In this study, we represent a collection of properties affecting the fitness at a given location using a color. A green node is rich in resources while a red node is poorer. More colors can represent a broader spectrum of resource qualities. For a population evolving according to the birth-death Moran model, the first question we address is which structures, identified by graph connectivity and graph coloring, are evolutionarily equivalent. We prove that all properly two-colored, undirected, regular graphs are evolutionarily equivalent (where “properly colored” means that no two neighbors have the same color). We then compare the effects of background heterogeneity on properly two-colored graphs to those with alternative schemes in which the colors are permuted. Finally, we discuss dynamic coloring as a model for spatiotemporal resource fluctuations, and we illustrate that random dynamic colorings often diminish the effects of background heterogeneity relative to a proper two-coloring. acknowledgement: 'We thank Igor Erovenko for many helpful comments on an earlier version of this paper. : Army Research Laboratory (grant W911NF-18-2-0265) (M.A.N.); the Bill & Melinda Gates Foundation (grant OPP1148627) (M.A.N.); the NVIDIA Corporation (A.M.). The funders had no role in study design, data collection and analysis, decision to publish, or preparation of the manuscript.' article_number: e1008402 article_processing_charge: No article_type: original author: - first_name: Kamran full_name: Kaveh, Kamran last_name: Kaveh - first_name: Alex full_name: McAvoy, Alex last_name: McAvoy - first_name: Krishnendu full_name: Chatterjee, Krishnendu id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87 last_name: Chatterjee orcid: 0000-0002-4561-241X - first_name: Martin A. full_name: Nowak, Martin A. last_name: Nowak citation: ama: Kaveh K, McAvoy A, Chatterjee K, Nowak MA. The Moran process on 2-chromatic graphs. PLOS Computational Biology. 2020;16(11). doi:10.1371/journal.pcbi.1008402 apa: Kaveh, K., McAvoy, A., Chatterjee, K., & Nowak, M. A. (2020). The Moran process on 2-chromatic graphs. PLOS Computational Biology. Public Library of Science. https://doi.org/10.1371/journal.pcbi.1008402 chicago: Kaveh, Kamran, Alex McAvoy, Krishnendu Chatterjee, and Martin A. Nowak. “The Moran Process on 2-Chromatic Graphs.” PLOS Computational Biology. Public Library of Science, 2020. https://doi.org/10.1371/journal.pcbi.1008402. ieee: K. Kaveh, A. McAvoy, K. Chatterjee, and M. A. Nowak, “The Moran process on 2-chromatic graphs,” PLOS Computational Biology, vol. 16, no. 11. Public Library of Science, 2020. ista: Kaveh K, McAvoy A, Chatterjee K, Nowak MA. 2020. The Moran process on 2-chromatic graphs. PLOS Computational Biology. 16(11), e1008402. mla: Kaveh, Kamran, et al. “The Moran Process on 2-Chromatic Graphs.” PLOS Computational Biology, vol. 16, no. 11, e1008402, Public Library of Science, 2020, doi:10.1371/journal.pcbi.1008402. short: K. Kaveh, A. McAvoy, K. Chatterjee, M.A. Nowak, PLOS Computational Biology 16 (2020). date_created: 2020-11-18T07:20:23Z date_published: 2020-11-05T00:00:00Z date_updated: 2023-08-22T12:49:18Z day: '05' ddc: - '000' department: - _id: KrCh doi: 10.1371/journal.pcbi.1008402 external_id: isi: - '000591317200004' file: - access_level: open_access checksum: 555456dd0e47bcf9e0994bcb95577e88 content_type: application/pdf creator: dernst date_created: 2020-11-18T07:26:10Z date_updated: 2020-11-18T07:26:10Z file_id: '8768' file_name: 2020_PlosCompBio_Kaveh.pdf file_size: 2498594 relation: main_file success: 1 file_date_updated: 2020-11-18T07:26:10Z has_accepted_license: '1' intvolume: ' 16' isi: 1 issue: '11' keyword: - Ecology - Modelling and Simulation - Computational Theory and Mathematics - Genetics - Ecology - Evolution - Behavior and Systematics - Molecular Biology - Cellular and Molecular Neuroscience language: - iso: eng month: '11' oa: 1 oa_version: Published Version publication: PLOS Computational Biology publication_identifier: eissn: - 1553-7358 issn: - 1553-734X publication_status: published publisher: Public Library of Science quality_controlled: '1' scopus_import: '1' status: public title: The Moran process on 2-chromatic graphs tmp: image: /images/cc_by.png legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0) short: CC BY (4.0) type: journal_article user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8 volume: 16 year: '2020' ... --- _id: '8789' abstract: - lang: eng text: Cooperation is a ubiquitous and beneficial behavioural trait despite being prone to exploitation by free-riders. Hence, cooperative populations are prone to invasions by selfish individuals. However, a population consisting of only free-riders typically does not survive. Thus, cooperators and free-riders often coexist in some proportion. An evolutionary version of a Snowdrift Game proved its efficiency in analysing this phenomenon. However, what if the system has already reached its stable state but was perturbed due to a change in environmental conditions? Then, individuals may have to re-learn their effective strategies. To address this, we consider behavioural mistakes in strategic choice execution, which we refer to as incompetence. Parametrising the propensity to make such mistakes allows for a mathematical description of learning. We compare strategies based on their relative strategic advantage relying on both fitness and learning factors. When strategies are learned at distinct rates, allowing learning according to a prescribed order is optimal. Interestingly, the strategy with the lowest strategic advantage should be learnt first if we are to optimise fitness over the learning path. Then, the differences between strategies are balanced out in order to minimise the effect of behavioural uncertainty. acknowledgement: "This work was supported by the European Union’s Horizon 2020 research and innovation program under the Marie Sklodowska-Curie Grant Agreement #754411, the Australian Research Council Discovery Grants DP160101236 and DP150100618, and the European Research Council Consolidator Grant 863818 (FoRM-SMArt).\r\nAuthors would like to thank Patrick McKinlay for his work on the preliminary results for this paper." article_number: '1945' article_processing_charge: No article_type: original author: - first_name: Maria full_name: Kleshnina, Maria id: 4E21749C-F248-11E8-B48F-1D18A9856A87 last_name: Kleshnina - first_name: Sabrina full_name: Streipert, Sabrina last_name: Streipert - first_name: Jerzy full_name: Filar, Jerzy last_name: Filar - first_name: Krishnendu full_name: Chatterjee, Krishnendu id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87 last_name: Chatterjee orcid: 0000-0002-4561-241X citation: ama: Kleshnina M, Streipert S, Filar J, Chatterjee K. Prioritised learning in snowdrift-type games. Mathematics. 2020;8(11). doi:10.3390/math8111945 apa: Kleshnina, M., Streipert, S., Filar, J., & Chatterjee, K. (2020). Prioritised learning in snowdrift-type games. Mathematics. MDPI. https://doi.org/10.3390/math8111945 chicago: Kleshnina, Maria, Sabrina Streipert, Jerzy Filar, and Krishnendu Chatterjee. “Prioritised Learning in Snowdrift-Type Games.” Mathematics. MDPI, 2020. https://doi.org/10.3390/math8111945. ieee: M. Kleshnina, S. Streipert, J. Filar, and K. Chatterjee, “Prioritised learning in snowdrift-type games,” Mathematics, vol. 8, no. 11. MDPI, 2020. ista: Kleshnina M, Streipert S, Filar J, Chatterjee K. 2020. Prioritised learning in snowdrift-type games. Mathematics. 8(11), 1945. mla: Kleshnina, Maria, et al. “Prioritised Learning in Snowdrift-Type Games.” Mathematics, vol. 8, no. 11, 1945, MDPI, 2020, doi:10.3390/math8111945. short: M. Kleshnina, S. Streipert, J. Filar, K. Chatterjee, Mathematics 8 (2020). date_created: 2020-11-22T23:01:24Z date_published: 2020-11-04T00:00:00Z date_updated: 2023-08-22T13:25:45Z day: '04' ddc: - '000' department: - _id: KrCh doi: 10.3390/math8111945 ec_funded: 1 external_id: isi: - '000593962100001' file: - access_level: open_access checksum: 61cfcc3b35760656ce7a9385a4ace5d2 content_type: application/pdf creator: dernst date_created: 2020-11-23T13:06:30Z date_updated: 2020-11-23T13:06:30Z file_id: '8797' file_name: 2020_Mathematics_Kleshnina.pdf file_size: 565191 relation: main_file success: 1 file_date_updated: 2020-11-23T13:06:30Z has_accepted_license: '1' intvolume: ' 8' isi: 1 issue: '11' language: - iso: eng month: '11' oa: 1 oa_version: Published Version project: - _id: 260C2330-B435-11E9-9278-68D0E5697425 call_identifier: H2020 grant_number: '754411' name: ISTplus - Postdoctoral Fellowships - _id: 0599E47C-7A3F-11EA-A408-12923DDC885E call_identifier: H2020 grant_number: '863818' name: 'Formal Methods for Stochastic Models: Algorithms and Applications' publication: Mathematics publication_identifier: eissn: - '22277390' publication_status: published publisher: MDPI quality_controlled: '1' scopus_import: '1' status: public title: Prioritised learning in snowdrift-type games tmp: image: /images/cc_by.png legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0) short: CC BY (4.0) type: journal_article user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8 volume: 8 year: '2020' ... --- _id: '8788' abstract: - lang: eng text: 'We consider a real-time setting where an environment releases sequences of firm-deadline tasks, and an online scheduler chooses on-the-fly the ones to execute on a single processor so as to maximize cumulated utility. The competitive ratio is a well-known performance measure for the scheduler: it gives the worst-case ratio, among all possible choices for the environment, of the cumulated utility of the online scheduler versus an offline scheduler that knows these choices in advance. Traditionally, competitive analysis is performed by hand, while automated techniques are rare and only handle static environments with independent tasks. We present a quantitative-verification framework for precedence-aware competitive analysis, where task releases may depend on preceding scheduling choices, i.e., the environment can respond to scheduling decisions dynamically . We consider two general classes of precedences: 1) follower precedences force the release of a dependent task upon the completion of a set of precursor tasks, while and 2) pairing precedences modify the characteristics of a dependent task provided the completion of a set of precursor tasks. Precedences make competitive analysis challenging, as the online and offline schedulers operate on diverging sequences. We make a formal presentation of our framework, and use a GPU-based implementation to analyze ten well-known schedulers on precedence-based application examples taken from the existing literature: 1) a handshake protocol (HP); 2) network packet-switching; 3) query scheduling (QS); and 4) a sporadic-interrupt setting. Our experimental results show that precedences and task parameters can vary drastically the best scheduler. Our framework thus supports application designers in choosing the best scheduler among a given set automatically.' acknowledgement: 'This work was supported by the Austrian Science Foundation (FWF) under the NFN RiSE/SHiNE under Grant S11405 and Grant S11407. This article was presented in the International Conference on Embedded Software 2020 and appears as part of the ESWEEK-TCAD special issue. ' article_processing_charge: No article_type: original author: - first_name: Andreas full_name: Pavlogiannis, Andreas id: 49704004-F248-11E8-B48F-1D18A9856A87 last_name: Pavlogiannis orcid: 0000-0002-8943-0722 - first_name: Nico full_name: Schaumberger, Nico last_name: Schaumberger - first_name: Ulrich full_name: Schmid, Ulrich last_name: Schmid - first_name: Krishnendu full_name: Chatterjee, Krishnendu id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87 last_name: Chatterjee orcid: 0000-0002-4561-241X citation: ama: Pavlogiannis A, Schaumberger N, Schmid U, Chatterjee K. Precedence-aware automated competitive analysis of real-time scheduling. IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems. 2020;39(11):3981-3992. doi:10.1109/TCAD.2020.3012803 apa: Pavlogiannis, A., Schaumberger, N., Schmid, U., & Chatterjee, K. (2020). Precedence-aware automated competitive analysis of real-time scheduling. IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems. IEEE. https://doi.org/10.1109/TCAD.2020.3012803 chicago: Pavlogiannis, Andreas, Nico Schaumberger, Ulrich Schmid, and Krishnendu Chatterjee. “Precedence-Aware Automated Competitive Analysis of Real-Time Scheduling.” IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems. IEEE, 2020. https://doi.org/10.1109/TCAD.2020.3012803. ieee: A. Pavlogiannis, N. Schaumberger, U. Schmid, and K. Chatterjee, “Precedence-aware automated competitive analysis of real-time scheduling,” IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems, vol. 39, no. 11. IEEE, pp. 3981–3992, 2020. ista: Pavlogiannis A, Schaumberger N, Schmid U, Chatterjee K. 2020. Precedence-aware automated competitive analysis of real-time scheduling. IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems. 39(11), 3981–3992. mla: Pavlogiannis, Andreas, et al. “Precedence-Aware Automated Competitive Analysis of Real-Time Scheduling.” IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems, vol. 39, no. 11, IEEE, 2020, pp. 3981–92, doi:10.1109/TCAD.2020.3012803. short: A. Pavlogiannis, N. Schaumberger, U. Schmid, K. Chatterjee, IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems 39 (2020) 3981–3992. date_created: 2020-11-22T23:01:24Z date_published: 2020-11-01T00:00:00Z date_updated: 2023-08-22T13:27:05Z day: '01' department: - _id: KrCh doi: 10.1109/TCAD.2020.3012803 external_id: isi: - '000587712700069' intvolume: ' 39' isi: 1 issue: '11' language: - iso: eng month: '11' oa_version: None page: 3981-3992 project: - _id: 25832EC2-B435-11E9-9278-68D0E5697425 call_identifier: FWF grant_number: S 11407_N23 name: Rigorous Systems Engineering - _id: 25863FF4-B435-11E9-9278-68D0E5697425 call_identifier: FWF grant_number: S11407 name: Game Theory publication: IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems publication_identifier: eissn: - '19374151' issn: - '02780070' publication_status: published publisher: IEEE quality_controlled: '1' scopus_import: '1' status: public title: Precedence-aware automated competitive analysis of real-time scheduling type: journal_article user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8 volume: 39 year: '2020' ... --- _id: '9197' abstract: - lang: eng text: In this paper we introduce and study all-pay bidding games, a class of two player, zero-sum games on graphs. The game proceeds as follows. We place a token on some vertex in the graph and assign budgets to the two players. Each turn, each player submits a sealed legal bid (non-negative and below their remaining budget), which is deducted from their budget and the highest bidder moves the token onto an adjacent vertex. The game ends once a sink is reached, and Player 1 pays Player 2 the outcome that is associated with the sink. The players attempt to maximize their expected outcome. Our games model settings where effort (of no inherent value) needs to be invested in an ongoing and stateful manner. On the negative side, we show that even in simple games on DAGs, optimal strategies may require a distribution over bids with infinite support. A central quantity in bidding games is the ratio of the players budgets. On the positive side, we show a simple FPTAS for DAGs, that, for each budget ratio, outputs an approximation for the optimal strategy for that ratio. We also implement it, show that it performs well, and suggests interesting properties of these games. Then, given an outcome c, we show an algorithm for finding the necessary and sufficient initial ratio for guaranteeing outcome c with probability 1 and a strategy ensuring such. Finally, while the general case has not previously been studied, solving the specific game in which Player 1 wins iff he wins the first two auctions, has been long stated as an open question, which we solve. acknowledgement: This research was supported by the Austrian Science Fund (FWF) under grants S11402-N23 (RiSE/SHiNE), Z211-N23 (Wittgenstein Award), and M 2369-N33 (Meitner fellowship). article_processing_charge: No article_type: original author: - first_name: Guy full_name: Avni, Guy id: 463C8BC2-F248-11E8-B48F-1D18A9856A87 last_name: Avni orcid: 0000-0001-5588-8287 - first_name: Rasmus full_name: Ibsen-Jensen, Rasmus id: 3B699956-F248-11E8-B48F-1D18A9856A87 last_name: Ibsen-Jensen orcid: 0000-0003-4783-0389 - first_name: Josef full_name: Tkadlec, Josef id: 3F24CCC8-F248-11E8-B48F-1D18A9856A87 last_name: Tkadlec orcid: 0000-0002-1097-9684 citation: ama: Avni G, Ibsen-Jensen R, Tkadlec J. All-pay bidding games on graphs. Proceedings of the AAAI Conference on Artificial Intelligence. 2020;34(02):1798-1805. doi:10.1609/aaai.v34i02.5546 apa: 'Avni, G., Ibsen-Jensen, R., & Tkadlec, J. (2020). All-pay bidding games on graphs. Proceedings of the AAAI Conference on Artificial Intelligence. New York, NY, United States: Association for the Advancement of Artificial Intelligence. https://doi.org/10.1609/aaai.v34i02.5546' chicago: Avni, Guy, Rasmus Ibsen-Jensen, and Josef Tkadlec. “All-Pay Bidding Games on Graphs.” Proceedings of the AAAI Conference on Artificial Intelligence. Association for the Advancement of Artificial Intelligence, 2020. https://doi.org/10.1609/aaai.v34i02.5546. ieee: G. Avni, R. Ibsen-Jensen, and J. Tkadlec, “All-pay bidding games on graphs,” Proceedings of the AAAI Conference on Artificial Intelligence, vol. 34, no. 02. Association for the Advancement of Artificial Intelligence, pp. 1798–1805, 2020. ista: Avni G, Ibsen-Jensen R, Tkadlec J. 2020. All-pay bidding games on graphs. Proceedings of the AAAI Conference on Artificial Intelligence. 34(02), 1798–1805. mla: Avni, Guy, et al. “All-Pay Bidding Games on Graphs.” Proceedings of the AAAI Conference on Artificial Intelligence, vol. 34, no. 02, Association for the Advancement of Artificial Intelligence, 2020, pp. 1798–805, doi:10.1609/aaai.v34i02.5546. short: G. Avni, R. Ibsen-Jensen, J. Tkadlec, Proceedings of the AAAI Conference on Artificial Intelligence 34 (2020) 1798–1805. conference: end_date: 2020-02-12 location: New York, NY, United States name: 'AAAI: Conference on Artificial Intelligence' start_date: 2020-02-07 date_created: 2021-02-25T09:05:18Z date_published: 2020-04-03T00:00:00Z date_updated: 2023-09-05T12:40:00Z day: '03' department: - _id: ToHe - _id: KrCh doi: 10.1609/aaai.v34i02.5546 external_id: arxiv: - '1911.08360' intvolume: ' 34' issue: '02' language: - iso: eng month: '04' oa_version: Preprint page: 1798-1805 project: - _id: 25F2ACDE-B435-11E9-9278-68D0E5697425 call_identifier: FWF grant_number: S11402-N23 name: Rigorous Systems Engineering - _id: 25F42A32-B435-11E9-9278-68D0E5697425 call_identifier: FWF grant_number: Z211 name: The Wittgenstein Prize - _id: 264B3912-B435-11E9-9278-68D0E5697425 call_identifier: FWF grant_number: M02369 name: Formal Methods meets Algorithmic Game Theory publication: Proceedings of the AAAI Conference on Artificial Intelligence publication_identifier: eissn: - 2374-3468 isbn: - '9781577358350' issn: - 2159-5399 publication_status: published publisher: Association for the Advancement of Artificial Intelligence quality_controlled: '1' scopus_import: '1' status: public title: All-pay bidding games on graphs type: journal_article user_id: c635000d-4b10-11ee-a964-aac5a93f6ac1 volume: 34 year: '2020' ... --- _id: '7343' abstract: - lang: eng text: Coinfections with multiple pathogens can result in complex within‐host dynamics affecting virulence and transmission. While multiple infections are intensively studied in solitary hosts, it is so far unresolved how social host interactions interfere with pathogen competition, and if this depends on coinfection diversity. We studied how the collective disease defences of ants – their social immunity – influence pathogen competition in coinfections of same or different fungal pathogen species. Social immunity reduced virulence for all pathogen combinations, but interfered with spore production only in different‐species coinfections. Here, it decreased overall pathogen sporulation success while increasing co‐sporulation on individual cadavers and maintaining a higher pathogen diversity at the community level. Mathematical modelling revealed that host sanitary care alone can modulate competitive outcomes between pathogens, giving advantage to fast‐germinating, thus less grooming‐sensitive ones. Host social interactions can hence modulate infection dynamics in coinfected group members, thereby altering pathogen communities at the host level and population level. acknowledged_ssus: - _id: LifeSc acknowledgement: "We thank Bernhardt Steinwender and Jorgen Eilenberg for the fungal strains, Xavier Espadaler, Mireia Diaz, Christiane Wanke, Lumi Viljakainen and the Social Immunity Team at IST Austria, for help with ant collection, and Wanda Gorecka and Gertraud Stift of the IST Austria Life Science Facility for technical support. We are thankful to Dieter Ebert for input at all stages of the project, Roger Mundry for statistical advice, Hinrich Schulenburg, Paul Schmid-Hempel, Yuko\r\nUlrich and Joachim Kurtz for project discussion, Bor Kavcic for advice on growth curves, Marcus Roper for advice on modelling work and comments on the manuscript, as well as Marjon de Vos, Weini Huang and the Social Immunity Team for comments on the manuscript.\r\nThis study was funded by the German Research Foundation (DFG) within the Priority Programme 1399 Host-parasite Coevolution (CR 118/3 to S.C.) and the People Programme\r\n(Marie Curie Actions) of the European Union’s Seventh Framework Programme (FP7/2007-2013) under REA grant agreement no 291734 (ISTFELLOW to B.M.). " article_processing_charge: Yes (via OA deal) article_type: letter_note author: - first_name: Barbara full_name: Milutinovic, Barbara id: 2CDC32B8-F248-11E8-B48F-1D18A9856A87 last_name: Milutinovic orcid: 0000-0002-8214-4758 - first_name: Miriam full_name: Stock, Miriam id: 42462816-F248-11E8-B48F-1D18A9856A87 last_name: Stock - first_name: Anna V full_name: Grasse, Anna V id: 406F989C-F248-11E8-B48F-1D18A9856A87 last_name: Grasse - first_name: Elisabeth full_name: Naderlinger, Elisabeth id: 31757262-F248-11E8-B48F-1D18A9856A87 last_name: Naderlinger - first_name: Christian full_name: Hilbe, Christian id: 2FDF8F3C-F248-11E8-B48F-1D18A9856A87 last_name: Hilbe orcid: 0000-0001-5116-955X - first_name: Sylvia full_name: Cremer, Sylvia id: 2F64EC8C-F248-11E8-B48F-1D18A9856A87 last_name: Cremer orcid: 0000-0002-2193-3868 citation: ama: Milutinovic B, Stock M, Grasse AV, Naderlinger E, Hilbe C, Cremer S. Social immunity modulates competition between coinfecting pathogens. Ecology Letters. 2020;23(3):565-574. doi:10.1111/ele.13458 apa: Milutinovic, B., Stock, M., Grasse, A. V., Naderlinger, E., Hilbe, C., & Cremer, S. (2020). Social immunity modulates competition between coinfecting pathogens. Ecology Letters. Wiley. https://doi.org/10.1111/ele.13458 chicago: Milutinovic, Barbara, Miriam Stock, Anna V Grasse, Elisabeth Naderlinger, Christian Hilbe, and Sylvia Cremer. “Social Immunity Modulates Competition between Coinfecting Pathogens.” Ecology Letters. Wiley, 2020. https://doi.org/10.1111/ele.13458. ieee: B. Milutinovic, M. Stock, A. V. Grasse, E. Naderlinger, C. Hilbe, and S. Cremer, “Social immunity modulates competition between coinfecting pathogens,” Ecology Letters, vol. 23, no. 3. Wiley, pp. 565–574, 2020. ista: Milutinovic B, Stock M, Grasse AV, Naderlinger E, Hilbe C, Cremer S. 2020. Social immunity modulates competition between coinfecting pathogens. Ecology Letters. 23(3), 565–574. mla: Milutinovic, Barbara, et al. “Social Immunity Modulates Competition between Coinfecting Pathogens.” Ecology Letters, vol. 23, no. 3, Wiley, 2020, pp. 565–74, doi:10.1111/ele.13458. short: B. Milutinovic, M. Stock, A.V. Grasse, E. Naderlinger, C. Hilbe, S. Cremer, Ecology Letters 23 (2020) 565–574. date_created: 2020-01-20T13:32:12Z date_published: 2020-03-01T00:00:00Z date_updated: 2023-09-05T16:04:49Z day: '01' ddc: - '570' department: - _id: SyCr - _id: KrCh doi: 10.1111/ele.13458 ec_funded: 1 external_id: isi: - '000507515900001' file: - access_level: open_access checksum: 0cd8be386fa219db02845b7c3991ce04 content_type: application/pdf creator: dernst date_created: 2020-11-19T11:27:10Z date_updated: 2020-11-19T11:27:10Z file_id: '8776' file_name: 2020_EcologyLetters_Milutinovic.pdf file_size: 561749 relation: main_file success: 1 file_date_updated: 2020-11-19T11:27:10Z has_accepted_license: '1' intvolume: ' 23' isi: 1 issue: '3' language: - iso: eng license: https://creativecommons.org/licenses/by-nc/4.0/ month: '03' oa: 1 oa_version: Published Version page: 565-574 project: - _id: 25681D80-B435-11E9-9278-68D0E5697425 call_identifier: FP7 grant_number: '291734' name: International IST Postdoc Fellowship Programme - _id: 25DAF0B2-B435-11E9-9278-68D0E5697425 grant_number: CR-118/3-1 name: Host-Parasite Coevolution publication: Ecology Letters publication_identifier: eissn: - 1461-0248 issn: - 1461-023X publication_status: published publisher: Wiley quality_controlled: '1' related_material: link: - description: News on IST Homepage relation: press_release url: https://ist.ac.at/en/news/social-ants-shapes-disease-outcome/ record: - id: '13060' relation: research_data status: public scopus_import: '1' status: public title: Social immunity modulates competition between coinfecting pathogens tmp: image: /images/cc_by_nc.png legal_code_url: https://creativecommons.org/licenses/by-nc/4.0/legalcode name: Creative Commons Attribution-NonCommercial 4.0 International (CC BY-NC 4.0) short: CC BY-NC (4.0) type: journal_article user_id: c635000d-4b10-11ee-a964-aac5a93f6ac1 volume: 23 year: '2020' ... --- _id: '13060' abstract: - lang: eng text: Coinfections with multiple pathogens can result in complex within-host dynamics affecting virulence and transmission. Whilst multiple infections are intensively studied in solitary hosts, it is so far unresolved how social host interactions interfere with pathogen competition, and if this depends on coinfection diversity. We studied how the collective disease defenses of ants – their social immunity ­– influence pathogen competition in coinfections of same or different fungal pathogen species. Social immunity reduced virulence for all pathogen combinations, but interfered with spore production only in different-species coinfections. Here, it decreased overall pathogen sporulation success, whilst simultaneously increasing co-sporulation on individual cadavers and maintaining a higher pathogen diversity at the community-level. Mathematical modeling revealed that host sanitary care alone can modulate competitive outcomes between pathogens, giving advantage to fast-germinating, thus less grooming-sensitive ones. Host social interactions can hence modulate infection dynamics in coinfected group members, thereby altering pathogen communities at the host- and population-level. article_processing_charge: No author: - first_name: Barbara full_name: Milutinovic, Barbara id: 2CDC32B8-F248-11E8-B48F-1D18A9856A87 last_name: Milutinovic orcid: 0000-0002-8214-4758 - first_name: Miriam full_name: Stock, Miriam id: 42462816-F248-11E8-B48F-1D18A9856A87 last_name: Stock - first_name: Anna V full_name: Grasse, Anna V id: 406F989C-F248-11E8-B48F-1D18A9856A87 last_name: Grasse - first_name: Elisabeth full_name: Naderlinger, Elisabeth id: 31757262-F248-11E8-B48F-1D18A9856A87 last_name: Naderlinger - first_name: Christian full_name: Hilbe, Christian id: 2FDF8F3C-F248-11E8-B48F-1D18A9856A87 last_name: Hilbe orcid: 0000-0001-5116-955X - first_name: Sylvia full_name: Cremer, Sylvia id: 2F64EC8C-F248-11E8-B48F-1D18A9856A87 last_name: Cremer orcid: 0000-0002-2193-3868 citation: ama: Milutinovic B, Stock M, Grasse AV, Naderlinger E, Hilbe C, Cremer S. Social immunity modulates competition between coinfecting pathogens. 2020. doi:10.5061/DRYAD.CRJDFN318 apa: Milutinovic, B., Stock, M., Grasse, A. V., Naderlinger, E., Hilbe, C., & Cremer, S. (2020). Social immunity modulates competition between coinfecting pathogens. Dryad. https://doi.org/10.5061/DRYAD.CRJDFN318 chicago: Milutinovic, Barbara, Miriam Stock, Anna V Grasse, Elisabeth Naderlinger, Christian Hilbe, and Sylvia Cremer. “Social Immunity Modulates Competition between Coinfecting Pathogens.” Dryad, 2020. https://doi.org/10.5061/DRYAD.CRJDFN318. ieee: B. Milutinovic, M. Stock, A. V. Grasse, E. Naderlinger, C. Hilbe, and S. Cremer, “Social immunity modulates competition between coinfecting pathogens.” Dryad, 2020. ista: Milutinovic B, Stock M, Grasse AV, Naderlinger E, Hilbe C, Cremer S. 2020. Social immunity modulates competition between coinfecting pathogens, Dryad, 10.5061/DRYAD.CRJDFN318. mla: Milutinovic, Barbara, et al. Social Immunity Modulates Competition between Coinfecting Pathogens. Dryad, 2020, doi:10.5061/DRYAD.CRJDFN318. short: B. Milutinovic, M. Stock, A.V. Grasse, E. Naderlinger, C. Hilbe, S. Cremer, (2020). date_created: 2023-05-23T16:11:22Z date_published: 2020-12-19T00:00:00Z date_updated: 2023-09-05T16:04:48Z day: '19' ddc: - '570' department: - _id: SyCr - _id: KrCh doi: 10.5061/DRYAD.CRJDFN318 main_file_link: - open_access: '1' url: https://doi.org/10.5061/dryad.crjdfn318 month: '12' oa: 1 oa_version: Published Version publisher: Dryad related_material: record: - id: '7343' relation: used_in_publication status: public status: public title: Social immunity modulates competition between coinfecting pathogens tmp: image: /images/cc_0.png legal_code_url: https://creativecommons.org/publicdomain/zero/1.0/legalcode name: Creative Commons Public Domain Dedication (CC0 1.0) short: CC0 (1.0) type: research_data_reference user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87 year: '2020' ... --- _id: '8193' abstract: - lang: eng text: 'Multiple-environment Markov decision processes (MEMDPs) are MDPs equipped with not one, but multiple probabilistic transition functions, which represent the various possible unknown environments. While the previous research on MEMDPs focused on theoretical properties for long-run average payoff, we study them with discounted-sum payoff and focus on their practical advantages and applications. MEMDPs can be viewed as a special case of Partially observable and Mixed observability MDPs: the state of the system is perfectly observable, but not the environment. We show that the specific structure of MEMDPs allows for more efficient algorithmic analysis, in particular for faster belief updates. We demonstrate the applicability of MEMDPs in several domains. In particular, we formalize the sequential decision-making approach to contextual recommendation systems as MEMDPs and substantially improve over the previous MDP approach.' acknowledgement: Krishnendu Chatterjee is supported by the Austrian ScienceFund (FWF) NFN Grant No. S11407-N23 (RiSE/SHiNE),and COST Action GAMENET. Petr Novotn ́y is supported bythe Czech Science Foundation grant No. GJ19-15134Y. article_processing_charge: No author: - first_name: Krishnendu full_name: Chatterjee, Krishnendu id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87 last_name: Chatterjee orcid: 0000-0002-4561-241X - first_name: Martin full_name: Chmelik, Martin id: 3624234E-F248-11E8-B48F-1D18A9856A87 last_name: Chmelik - first_name: Deep full_name: Karkhanis, Deep last_name: Karkhanis - first_name: Petr full_name: Novotný, Petr id: 3CC3B868-F248-11E8-B48F-1D18A9856A87 last_name: Novotný - first_name: Amélie full_name: Royer, Amélie id: 3811D890-F248-11E8-B48F-1D18A9856A87 last_name: Royer orcid: 0000-0002-8407-0705 citation: ama: 'Chatterjee K, Chmelik M, Karkhanis D, Novotný P, Royer A. Multiple-environment Markov decision processes: Efficient analysis and applications. In: Proceedings of the 30th International Conference on Automated Planning and Scheduling. Vol 30. Association for the Advancement of Artificial Intelligence; 2020:48-56.' apa: 'Chatterjee, K., Chmelik, M., Karkhanis, D., Novotný, P., & Royer, A. (2020). Multiple-environment Markov decision processes: Efficient analysis and applications. In Proceedings of the 30th International Conference on Automated Planning and Scheduling (Vol. 30, pp. 48–56). Nancy, France: Association for the Advancement of Artificial Intelligence.' chicago: 'Chatterjee, Krishnendu, Martin Chmelik, Deep Karkhanis, Petr Novotný, and Amélie Royer. “Multiple-Environment Markov Decision Processes: Efficient Analysis and Applications.” In Proceedings of the 30th International Conference on Automated Planning and Scheduling, 30:48–56. Association for the Advancement of Artificial Intelligence, 2020.' ieee: 'K. Chatterjee, M. Chmelik, D. Karkhanis, P. Novotný, and A. Royer, “Multiple-environment Markov decision processes: Efficient analysis and applications,” in Proceedings of the 30th International Conference on Automated Planning and Scheduling, Nancy, France, 2020, vol. 30, pp. 48–56.' ista: 'Chatterjee K, Chmelik M, Karkhanis D, Novotný P, Royer A. 2020. Multiple-environment Markov decision processes: Efficient analysis and applications. Proceedings of the 30th International Conference on Automated Planning and Scheduling. ICAPS: International Conference on Automated Planning and Scheduling vol. 30, 48–56.' mla: 'Chatterjee, Krishnendu, et al. “Multiple-Environment Markov Decision Processes: Efficient Analysis and Applications.” Proceedings of the 30th International Conference on Automated Planning and Scheduling, vol. 30, Association for the Advancement of Artificial Intelligence, 2020, pp. 48–56.' short: K. Chatterjee, M. Chmelik, D. Karkhanis, P. Novotný, A. Royer, in:, Proceedings of the 30th International Conference on Automated Planning and Scheduling, Association for the Advancement of Artificial Intelligence, 2020, pp. 48–56. conference: end_date: 2020-10-30 location: Nancy, France name: 'ICAPS: International Conference on Automated Planning and Scheduling' start_date: 2020-10-26 date_created: 2020-08-02T22:00:58Z date_published: 2020-06-01T00:00:00Z date_updated: 2023-09-07T13:16:18Z day: '01' department: - _id: KrCh intvolume: ' 30' language: - iso: eng month: '06' oa_version: None page: 48-56 project: - _id: 25863FF4-B435-11E9-9278-68D0E5697425 call_identifier: FWF grant_number: S11407 name: Game Theory publication: Proceedings of the 30th International Conference on Automated Planning and Scheduling publication_identifier: eissn: - '23340843' issn: - '23340835' publication_status: published publisher: Association for the Advancement of Artificial Intelligence quality_controlled: '1' related_material: record: - id: '8390' relation: dissertation_contains status: public scopus_import: '1' status: public title: 'Multiple-environment Markov decision processes: Efficient analysis and applications' type: conference user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87 volume: 30 year: '2020' ... --- _id: '8272' abstract: - lang: eng text: We study turn-based stochastic zero-sum games with lexicographic preferences over reachability and safety objectives. Stochastic games are standard models in control, verification, and synthesis of stochastic reactive systems that exhibit both randomness as well as angelic and demonic non-determinism. Lexicographic order allows to consider multiple objectives with a strict preference order over the satisfaction of the objectives. To the best of our knowledge, stochastic games with lexicographic objectives have not been studied before. We establish determinacy of such games and present strategy and computational complexity results. For strategy complexity, we show that lexicographically optimal strategies exist that are deterministic and memory is only required to remember the already satisfied and violated objectives. For a constant number of objectives, we show that the relevant decision problem is in NP∩coNP , matching the current known bound for single objectives; and in general the decision problem is PSPACE -hard and can be solved in NEXPTIME∩coNEXPTIME . We present an algorithm that computes the lexicographically optimal strategies via a reduction to computation of optimal strategies in a sequence of single-objectives games. We have implemented our algorithm and report experimental results on various case studies. alternative_title: - LNCS article_processing_charge: No author: - first_name: Krishnendu full_name: Chatterjee, Krishnendu id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87 last_name: Chatterjee orcid: 0000-0002-4561-241X - first_name: Joost P full_name: Katoen, Joost P id: 4524F760-F248-11E8-B48F-1D18A9856A87 last_name: Katoen - first_name: Maximilian full_name: Weininger, Maximilian last_name: Weininger - first_name: Tobias full_name: Winkler, Tobias last_name: Winkler citation: ama: 'Chatterjee K, Katoen JP, Weininger M, Winkler T. Stochastic games with lexicographic reachability-safety objectives. In: International Conference on Computer Aided Verification. Vol 12225. Springer Nature; 2020:398-420. doi:10.1007/978-3-030-53291-8_21' apa: Chatterjee, K., Katoen, J. P., Weininger, M., & Winkler, T. (2020). Stochastic games with lexicographic reachability-safety objectives. In International Conference on Computer Aided Verification (Vol. 12225, pp. 398–420). Springer Nature. https://doi.org/10.1007/978-3-030-53291-8_21 chicago: Chatterjee, Krishnendu, Joost P Katoen, Maximilian Weininger, and Tobias Winkler. “Stochastic Games with Lexicographic Reachability-Safety Objectives.” In International Conference on Computer Aided Verification, 12225:398–420. Springer Nature, 2020. https://doi.org/10.1007/978-3-030-53291-8_21. ieee: K. Chatterjee, J. P. Katoen, M. Weininger, and T. Winkler, “Stochastic games with lexicographic reachability-safety objectives,” in International Conference on Computer Aided Verification, 2020, vol. 12225, pp. 398–420. ista: 'Chatterjee K, Katoen JP, Weininger M, Winkler T. 2020. Stochastic games with lexicographic reachability-safety objectives. International Conference on Computer Aided Verification. CAV: Computer Aided Verification, LNCS, vol. 12225, 398–420.' mla: Chatterjee, Krishnendu, et al. “Stochastic Games with Lexicographic Reachability-Safety Objectives.” International Conference on Computer Aided Verification, vol. 12225, Springer Nature, 2020, pp. 398–420, doi:10.1007/978-3-030-53291-8_21. short: K. Chatterjee, J.P. Katoen, M. Weininger, T. Winkler, in:, International Conference on Computer Aided Verification, Springer Nature, 2020, pp. 398–420. conference: name: 'CAV: Computer Aided Verification' date_created: 2020-08-16T22:00:58Z date_published: 2020-07-14T00:00:00Z date_updated: 2023-10-03T11:36:13Z day: '14' ddc: - '000' department: - _id: KrCh doi: 10.1007/978-3-030-53291-8_21 ec_funded: 1 external_id: arxiv: - '2005.04018' isi: - '000695272500021' file: - access_level: open_access checksum: 093d4788d7d5b2ce0ffe64fbe7820043 content_type: application/pdf creator: dernst date_created: 2020-08-17T11:32:44Z date_updated: 2020-08-17T11:32:44Z file_id: '8276' file_name: 2020_LNCS_CAV_Chatterjee.pdf file_size: 625056 relation: main_file success: 1 file_date_updated: 2020-08-17T11:32:44Z has_accepted_license: '1' intvolume: ' 12225' isi: 1 language: - iso: eng month: '07' oa: 1 oa_version: Published Version page: 398-420 project: - _id: 0599E47C-7A3F-11EA-A408-12923DDC885E call_identifier: H2020 grant_number: '863818' name: 'Formal Methods for Stochastic Models: Algorithms and Applications' - _id: 25892FC0-B435-11E9-9278-68D0E5697425 grant_number: ICT15-003 name: Efficient Algorithms for Computer Aided Verification publication: International Conference on Computer Aided Verification publication_identifier: eissn: - '16113349' isbn: - '9783030532901' issn: - '03029743' publication_status: published publisher: Springer Nature quality_controlled: '1' related_material: record: - id: '12738' relation: later_version status: public scopus_import: '1' status: public title: Stochastic games with lexicographic reachability-safety objectives tmp: image: /images/cc_by.png legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0) short: CC BY (4.0) type: conference user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8 volume: 12225 year: '2020' ... --- _id: '8671' abstract: - lang: eng text: 'We study relations between evidence theory and S-approximation spaces. Both theories have their roots in the analysis of Dempsterchr(''39'')s multivalued mappings and lower and upper probabilities, and have close relations to rough sets. We show that an S-approximation space, satisfying a monotonicity condition, can induce a natural belief structure which is a fundamental block in evidence theory. We also demonstrate that one can induce a natural belief structure on one set, given a belief structure on another set, if the two sets are related by a partial monotone S-approximation space. ' acknowledgement: We are very grateful to the anonymous reviewer for detailed comments and suggestions that significantly improved the presentation of this paper. The research was partially supported by a DOC fellowship of the Austrian Academy of Sciences. article_processing_charge: No article_type: original author: - first_name: A. full_name: Shakiba, A. last_name: Shakiba - first_name: Amir Kafshdar full_name: Goharshady, Amir Kafshdar id: 391365CE-F248-11E8-B48F-1D18A9856A87 last_name: Goharshady orcid: 0000-0003-1702-6584 - first_name: M.R. full_name: Hooshmandasl, M.R. last_name: Hooshmandasl - first_name: M. full_name: Alambardar Meybodi, M. last_name: Alambardar Meybodi citation: ama: Shakiba A, Goharshady AK, Hooshmandasl MR, Alambardar Meybodi M. A note on belief structures and s-approximation spaces. Iranian Journal of Mathematical Sciences and Informatics. 2020;15(2):117-128. doi:10.29252/ijmsi.15.2.117 apa: Shakiba, A., Goharshady, A. K., Hooshmandasl, M. R., & Alambardar Meybodi, M. (2020). A note on belief structures and s-approximation spaces. Iranian Journal of Mathematical Sciences and Informatics. Iranian Academic Center for Education, Culture and Research. https://doi.org/10.29252/ijmsi.15.2.117 chicago: Shakiba, A., Amir Kafshdar Goharshady, M.R. Hooshmandasl, and M. Alambardar Meybodi. “A Note on Belief Structures and S-Approximation Spaces.” Iranian Journal of Mathematical Sciences and Informatics. Iranian Academic Center for Education, Culture and Research, 2020. https://doi.org/10.29252/ijmsi.15.2.117. ieee: A. Shakiba, A. K. Goharshady, M. R. Hooshmandasl, and M. Alambardar Meybodi, “A note on belief structures and s-approximation spaces,” Iranian Journal of Mathematical Sciences and Informatics, vol. 15, no. 2. Iranian Academic Center for Education, Culture and Research, pp. 117–128, 2020. ista: Shakiba A, Goharshady AK, Hooshmandasl MR, Alambardar Meybodi M. 2020. A note on belief structures and s-approximation spaces. Iranian Journal of Mathematical Sciences and Informatics. 15(2), 117–128. mla: Shakiba, A., et al. “A Note on Belief Structures and S-Approximation Spaces.” Iranian Journal of Mathematical Sciences and Informatics, vol. 15, no. 2, Iranian Academic Center for Education, Culture and Research, 2020, pp. 117–28, doi:10.29252/ijmsi.15.2.117. short: A. Shakiba, A.K. Goharshady, M.R. Hooshmandasl, M. Alambardar Meybodi, Iranian Journal of Mathematical Sciences and Informatics 15 (2020) 117–128. date_created: 2020-10-18T22:01:36Z date_published: 2020-10-01T00:00:00Z date_updated: 2023-10-16T09:25:00Z day: '01' ddc: - '000' department: - _id: KrCh doi: 10.29252/ijmsi.15.2.117 external_id: arxiv: - '1805.10672' file: - access_level: open_access checksum: f299661a6d51cda6d255a76be696f48d content_type: application/pdf creator: dernst date_created: 2020-10-19T11:14:20Z date_updated: 2020-10-19T11:14:20Z file_id: '8676' file_name: 2020_ijmsi_Shakiba_accepted.pdf file_size: 261688 relation: main_file success: 1 file_date_updated: 2020-10-19T11:14:20Z has_accepted_license: '1' intvolume: ' 15' issue: '2' language: - iso: eng month: '10' oa: 1 oa_version: Submitted Version page: 117-128 project: - _id: 267066CE-B435-11E9-9278-68D0E5697425 name: Quantitative Analysis of Probablistic Systems with a focus on Crypto-currencies publication: Iranian Journal of Mathematical Sciences and Informatics publication_identifier: eissn: - 2008-9473 issn: - 1735-4463 publication_status: published publisher: Iranian Academic Center for Education, Culture and Research quality_controlled: '1' scopus_import: '1' status: public title: A note on belief structures and s-approximation spaces type: journal_article user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87 volume: 15 year: '2020' ... --- _id: '7212' abstract: - lang: eng text: The fixation probability of a single mutant invading a population of residents is among the most widely-studied quantities in evolutionary dynamics. Amplifiers of natural selection are population structures that increase the fixation probability of advantageous mutants, compared to well-mixed populations. Extensive studies have shown that many amplifiers exist for the Birth-death Moran process, some of them substantially increasing the fixation probability or even guaranteeing fixation in the limit of large population size. On the other hand, no amplifiers are known for the death-Birth Moran process, and computer-assisted exhaustive searches have failed to discover amplification. In this work we resolve this disparity, by showing that any amplification under death-Birth updating is necessarily bounded and transient. Our boundedness result states that even if a population structure does amplify selection, the resulting fixation probability is close to that of the well-mixed population. Our transience result states that for any population structure there exists a threshold r⋆ such that the population structure ceases to amplify selection if the mutant fitness advantage r is larger than r⋆. Finally, we also extend the above results to δ-death-Birth updating, which is a combination of Birth-death and death-Birth updating. On the positive side, we identify population structures that maintain amplification for a wide range of values r and δ. These results demonstrate that amplification of natural selection depends on the specific mechanisms of the evolutionary process. article_number: e1007494 article_processing_charge: No article_type: original author: - first_name: Josef full_name: Tkadlec, Josef id: 3F24CCC8-F248-11E8-B48F-1D18A9856A87 last_name: Tkadlec orcid: 0000-0002-1097-9684 - first_name: Andreas full_name: Pavlogiannis, Andreas id: 49704004-F248-11E8-B48F-1D18A9856A87 last_name: Pavlogiannis orcid: 0000-0002-8943-0722 - first_name: Krishnendu full_name: Chatterjee, Krishnendu id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87 last_name: Chatterjee orcid: 0000-0002-4561-241X - first_name: Martin A. full_name: Nowak, Martin A. last_name: Nowak citation: ama: Tkadlec J, Pavlogiannis A, Chatterjee K, Nowak MA. Limits on amplifiers of natural selection under death-Birth updating. PLoS computational biology. 2020;16. doi:10.1371/journal.pcbi.1007494 apa: Tkadlec, J., Pavlogiannis, A., Chatterjee, K., & Nowak, M. A. (2020). Limits on amplifiers of natural selection under death-Birth updating. PLoS Computational Biology. Public Library of Science. https://doi.org/10.1371/journal.pcbi.1007494 chicago: Tkadlec, Josef, Andreas Pavlogiannis, Krishnendu Chatterjee, and Martin A. Nowak. “Limits on Amplifiers of Natural Selection under Death-Birth Updating.” PLoS Computational Biology. Public Library of Science, 2020. https://doi.org/10.1371/journal.pcbi.1007494. ieee: J. Tkadlec, A. Pavlogiannis, K. Chatterjee, and M. A. Nowak, “Limits on amplifiers of natural selection under death-Birth updating,” PLoS computational biology, vol. 16. Public Library of Science, 2020. ista: Tkadlec J, Pavlogiannis A, Chatterjee K, Nowak MA. 2020. Limits on amplifiers of natural selection under death-Birth updating. PLoS computational biology. 16, e1007494. mla: Tkadlec, Josef, et al. “Limits on Amplifiers of Natural Selection under Death-Birth Updating.” PLoS Computational Biology, vol. 16, e1007494, Public Library of Science, 2020, doi:10.1371/journal.pcbi.1007494. short: J. Tkadlec, A. Pavlogiannis, K. Chatterjee, M.A. Nowak, PLoS Computational Biology 16 (2020). date_created: 2019-12-23T13:45:11Z date_published: 2020-01-17T00:00:00Z date_updated: 2023-10-17T12:29:47Z day: '17' ddc: - '000' department: - _id: KrCh doi: 10.1371/journal.pcbi.1007494 ec_funded: 1 external_id: arxiv: - '1906.02785' isi: - '000510916500025' file: - access_level: open_access checksum: ce32ee2d2f53aed832f78bbd47e882df content_type: application/pdf creator: dernst date_created: 2020-02-03T07:32:42Z date_updated: 2020-07-14T12:47:53Z file_id: '7441' file_name: 2020_PlosCompBio_Tkadlec.pdf file_size: 1817531 relation: main_file file_date_updated: 2020-07-14T12:47:53Z has_accepted_license: '1' intvolume: ' 16' isi: 1 language: - iso: eng month: '01' oa: 1 oa_version: Published Version project: - _id: 2581B60A-B435-11E9-9278-68D0E5697425 call_identifier: FP7 grant_number: '279307' name: 'Quantitative Graph Games: Theory and Applications' - _id: 2584A770-B435-11E9-9278-68D0E5697425 call_identifier: FWF grant_number: P 23499-N23 name: Modern Graph Algorithmic Techniques in Formal Verification - _id: 25863FF4-B435-11E9-9278-68D0E5697425 call_identifier: FWF grant_number: S11407 name: Game Theory publication: PLoS computational biology publication_identifier: eissn: - '15537358' publication_status: published publisher: Public Library of Science quality_controlled: '1' related_material: record: - id: '7196' relation: part_of_dissertation status: public scopus_import: '1' status: public title: Limits on amplifiers of natural selection under death-Birth updating tmp: image: /images/cc_by.png legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0) short: CC BY (4.0) type: journal_article user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87 volume: 16 year: '2020' ... --- _id: '7196' abstract: - lang: eng text: 'In this thesis we study certain mathematical aspects of evolution. The two primary forces that drive an evolutionary process are mutation and selection. Mutation generates new variants in a population. Selection chooses among the variants depending on the reproductive rates of individuals. Evolutionary processes are intrinsically random – a new mutation that is initially present in the population at low frequency can go extinct, even if it confers a reproductive advantage. The overall rate of evolution is largely determined by two quantities: the probability that an invading advantageous mutation spreads through the population (called fixation probability) and the time until it does so (called fixation time). Both those quantities crucially depend not only on the strength of the invading mutation but also on the population structure. In this thesis, we aim to understand how the underlying population structure affects the overall rate of evolution. Specifically, we study population structures that increase the fixation probability of advantageous mutants (called amplifiers of selection). Broadly speaking, our results are of three different types: We present various strong amplifiers, we identify regimes under which only limited amplification is feasible, and we propose population structures that provide different tradeoffs between high fixation probability and short fixation time.' alternative_title: - ISTA Thesis article_processing_charge: No author: - first_name: Josef full_name: Tkadlec, Josef id: 3F24CCC8-F248-11E8-B48F-1D18A9856A87 last_name: Tkadlec orcid: 0000-0002-1097-9684 citation: ama: Tkadlec J. A role of graphs in evolutionary processes. 2020. doi:10.15479/AT:ISTA:7196 apa: Tkadlec, J. (2020). A role of graphs in evolutionary processes. Institute of Science and Technology Austria. https://doi.org/10.15479/AT:ISTA:7196 chicago: Tkadlec, Josef. “A Role of Graphs in Evolutionary Processes.” Institute of Science and Technology Austria, 2020. https://doi.org/10.15479/AT:ISTA:7196. ieee: J. Tkadlec, “A role of graphs in evolutionary processes,” Institute of Science and Technology Austria, 2020. ista: Tkadlec J. 2020. A role of graphs in evolutionary processes. Institute of Science and Technology Austria. mla: Tkadlec, Josef. A Role of Graphs in Evolutionary Processes. Institute of Science and Technology Austria, 2020, doi:10.15479/AT:ISTA:7196. short: J. Tkadlec, A Role of Graphs in Evolutionary Processes, Institute of Science and Technology Austria, 2020. date_created: 2019-12-20T12:26:36Z date_published: 2020-01-12T00:00:00Z date_updated: 2023-10-17T12:29:46Z day: '12' ddc: - '519' degree_awarded: PhD department: - _id: KrCh - _id: GradSch doi: 10.15479/AT:ISTA:7196 file: - access_level: closed checksum: 451f8e64b0eb26bf297644ac72bfcbe9 content_type: application/zip creator: jtkadlec date_created: 2020-01-12T11:49:49Z date_updated: 2020-07-14T12:47:52Z file_id: '7255' file_name: thesis.zip file_size: 21100497 relation: source_file - access_level: open_access checksum: d8c44cbc4f939c49a8efc9d4b8bb3985 content_type: application/pdf creator: dernst date_created: 2020-01-28T07:32:42Z date_updated: 2020-07-14T12:47:52Z file_id: '7367' file_name: 2020_Tkadlec_Thesis.pdf file_size: 11670983 relation: main_file file_date_updated: 2020-07-14T12:47:52Z has_accepted_license: '1' language: - iso: eng month: '01' oa: 1 oa_version: Published Version page: '144' publication_identifier: eissn: - 2663-337X publication_status: published publisher: Institute of Science and Technology Austria related_material: record: - id: '7210' relation: dissertation_contains status: public - id: '5751' relation: dissertation_contains status: public - id: '7212' relation: dissertation_contains status: public status: public supervisor: - first_name: Krishnendu full_name: Chatterjee, Krishnendu id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87 last_name: Chatterjee orcid: 0000-0002-4561-241X title: A role of graphs in evolutionary processes type: dissertation user_id: c635000d-4b10-11ee-a964-aac5a93f6ac1 year: '2020' ... --- _id: '9814' abstract: - lang: eng text: Data and mathematica notebooks for plotting figures from Language learning with communication between learners article_processing_charge: No author: - first_name: Rasmus full_name: Ibsen-Jensen, Rasmus id: 3B699956-F248-11E8-B48F-1D18A9856A87 last_name: Ibsen-Jensen orcid: 0000-0003-4783-0389 - first_name: Josef full_name: Tkadlec, Josef id: 3F24CCC8-F248-11E8-B48F-1D18A9856A87 last_name: Tkadlec orcid: 0000-0002-1097-9684 - first_name: Krishnendu full_name: Chatterjee, Krishnendu id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87 last_name: Chatterjee orcid: 0000-0002-4561-241X - first_name: Martin full_name: Nowak, Martin last_name: Nowak citation: ama: Ibsen-Jensen R, Tkadlec J, Chatterjee K, Nowak M. Data and mathematica notebooks for plotting figures from language learning with communication between learners from language acquisition with communication between learners. 2020. doi:10.6084/m9.figshare.5973013.v1 apa: Ibsen-Jensen, R., Tkadlec, J., Chatterjee, K., & Nowak, M. (2020). Data and mathematica notebooks for plotting figures from language learning with communication between learners from language acquisition with communication between learners. Royal Society. https://doi.org/10.6084/m9.figshare.5973013.v1 chicago: Ibsen-Jensen, Rasmus, Josef Tkadlec, Krishnendu Chatterjee, and Martin Nowak. “Data and Mathematica Notebooks for Plotting Figures from Language Learning with Communication between Learners from Language Acquisition with Communication between Learners.” Royal Society, 2020. https://doi.org/10.6084/m9.figshare.5973013.v1. ieee: R. Ibsen-Jensen, J. Tkadlec, K. Chatterjee, and M. Nowak, “Data and mathematica notebooks for plotting figures from language learning with communication between learners from language acquisition with communication between learners.” Royal Society, 2020. ista: Ibsen-Jensen R, Tkadlec J, Chatterjee K, Nowak M. 2020. Data and mathematica notebooks for plotting figures from language learning with communication between learners from language acquisition with communication between learners, Royal Society, 10.6084/m9.figshare.5973013.v1. mla: Ibsen-Jensen, Rasmus, et al. Data and Mathematica Notebooks for Plotting Figures from Language Learning with Communication between Learners from Language Acquisition with Communication between Learners. Royal Society, 2020, doi:10.6084/m9.figshare.5973013.v1. short: R. Ibsen-Jensen, J. Tkadlec, K. Chatterjee, M. Nowak, (2020). date_created: 2021-08-06T13:09:57Z date_published: 2020-10-15T00:00:00Z date_updated: 2023-10-18T06:36:00Z day: '15' department: - _id: KrCh doi: 10.6084/m9.figshare.5973013.v1 main_file_link: - open_access: '1' url: https://doi.org/10.6084/m9.figshare.5973013.v1 month: '10' oa: 1 oa_version: Published Version publisher: Royal Society related_material: record: - id: '198' relation: used_in_publication status: public status: public title: Data and mathematica notebooks for plotting figures from language learning with communication between learners from language acquisition with communication between learners type: research_data_reference user_id: 6785fbc1-c503-11eb-8a32-93094b40e1cf year: '2020' ... --- _id: '8324' abstract: - lang: eng text: The notion of program sensitivity (aka Lipschitz continuity) specifies that changes in the program input result in proportional changes to the program output. For probabilistic programs the notion is naturally extended to expected sensitivity. A previous approach develops a relational program logic framework for proving expected sensitivity of probabilistic while loops, where the number of iterations is fixed and bounded. In this work, we consider probabilistic while loops where the number of iterations is not fixed, but randomized and depends on the initial input values. We present a sound approach for proving expected sensitivity of such programs. Our sound approach is martingale-based and can be automated through existing martingale-synthesis algorithms. Furthermore, our approach is compositional for sequential composition of while loops under a mild side condition. We demonstrate the effectiveness of our approach on several classical examples from Gambler's Ruin, stochastic hybrid systems and stochastic gradient descent. We also present experimental results showing that our automated approach can handle various probabilistic programs in the literature. acknowledgement: We thank anonymous reviewers for helpful comments, especially for pointing to us a scenario of piecewise-linear approximation (Remark5). The research was partially supported by the National Natural Science Foundation of China (NSFC) under Grant No. 61802254, 61672229, 61832015,61772336,11871221 and Austrian Science Fund (FWF) NFN under Grant No. S11407-N23 (RiSE/SHiNE). We thank Prof. Yuxi Fu, director of the BASICS Lab at Shanghai Jiao Tong University, for his support. article_number: '25' article_processing_charge: No author: - first_name: Peixin full_name: Wang, Peixin last_name: Wang - first_name: Hongfei full_name: Fu, Hongfei last_name: Fu - first_name: Krishnendu full_name: Chatterjee, Krishnendu id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87 last_name: Chatterjee orcid: 0000-0002-4561-241X - first_name: Yuxin full_name: Deng, Yuxin last_name: Deng - first_name: Ming full_name: Xu, Ming last_name: Xu citation: ama: 'Wang P, Fu H, Chatterjee K, Deng Y, Xu M. Proving expected sensitivity of probabilistic programs with randomized variable-dependent termination time. In: Proceedings of the ACM on Programming Languages. Vol 4. ACM; 2020. doi:10.1145/3371093' apa: Wang, P., Fu, H., Chatterjee, K., Deng, Y., & Xu, M. (2020). Proving expected sensitivity of probabilistic programs with randomized variable-dependent termination time. In Proceedings of the ACM on Programming Languages (Vol. 4). ACM. https://doi.org/10.1145/3371093 chicago: Wang, Peixin, Hongfei Fu, Krishnendu Chatterjee, Yuxin Deng, and Ming Xu. “Proving Expected Sensitivity of Probabilistic Programs with Randomized Variable-Dependent Termination Time.” In Proceedings of the ACM on Programming Languages, Vol. 4. ACM, 2020. https://doi.org/10.1145/3371093. ieee: P. Wang, H. Fu, K. Chatterjee, Y. Deng, and M. Xu, “Proving expected sensitivity of probabilistic programs with randomized variable-dependent termination time,” in Proceedings of the ACM on Programming Languages, 2020, vol. 4, no. POPL. ista: Wang P, Fu H, Chatterjee K, Deng Y, Xu M. 2020. Proving expected sensitivity of probabilistic programs with randomized variable-dependent termination time. Proceedings of the ACM on Programming Languages. vol. 4, 25. mla: Wang, Peixin, et al. “Proving Expected Sensitivity of Probabilistic Programs with Randomized Variable-Dependent Termination Time.” Proceedings of the ACM on Programming Languages, vol. 4, no. POPL, 25, ACM, 2020, doi:10.1145/3371093. short: P. Wang, H. Fu, K. Chatterjee, Y. Deng, M. Xu, in:, Proceedings of the ACM on Programming Languages, ACM, 2020. date_created: 2020-08-30T22:01:12Z date_published: 2020-01-01T00:00:00Z date_updated: 2024-02-22T15:16:45Z day: '01' ddc: - '004' department: - _id: KrCh doi: 10.1145/3371093 external_id: arxiv: - '1902.04744' file: - access_level: open_access checksum: c6193d109ff4ecb17e7a6513d8eb34c0 content_type: application/pdf creator: cziletti date_created: 2020-09-01T11:12:58Z date_updated: 2020-09-01T11:12:58Z file_id: '8328' file_name: 2019_ACM_POPL_Wang.pdf file_size: 564151 relation: main_file success: 1 file_date_updated: 2020-09-01T11:12:58Z has_accepted_license: '1' intvolume: ' 4' issue: POPL language: - iso: eng month: '01' oa: 1 oa_version: Published Version project: - _id: 25863FF4-B435-11E9-9278-68D0E5697425 call_identifier: FWF grant_number: S11407 name: Game Theory publication: Proceedings of the ACM on Programming Languages publication_identifier: eissn: - 2475-1421 publication_status: published publisher: ACM quality_controlled: '1' related_material: link: - relation: software url: https://doi.org/10.5281/zenodo.3533633 scopus_import: '1' status: public title: Proving expected sensitivity of probabilistic programs with randomized variable-dependent termination time tmp: image: /images/cc_by.png legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0) short: CC BY (4.0) type: conference user_id: 3E5EF7F0-F248-11E8-B48F-1D18A9856A87 volume: 4 year: '2020' ... --- _id: '15055' abstract: - lang: eng text: Markov decision processes (MDPs) are the defacto framework for sequential decision making in the presence of stochastic uncertainty. A classical optimization criterion for MDPs is to maximize the expected discounted-sum payoff, which ignores low probability catastrophic events with highly negative impact on the system. On the other hand, risk-averse policies require the probability of undesirable events to be below a given threshold, but they do not account for optimization of the expected payoff. We consider MDPs with discounted-sum payoff with failure states which represent catastrophic outcomes. The objective of risk-constrained planning is to maximize the expected discounted-sum payoff among risk-averse policies that ensure the probability to encounter a failure state is below a desired threshold. Our main contribution is an efficient risk-constrained planning algorithm that combines UCT-like search with a predictor learned through interaction with the MDP (in the style of AlphaZero) and with a risk-constrained action selection via linear programming. We demonstrate the effectiveness of our approach with experiments on classical MDPs from the literature, including benchmarks with an order of 106 states. acknowledgement: Krishnendu Chatterjee is supported by the Austrian Science Fund (FWF) NFN Grant No. S11407-N23 (RiSE/SHiNE), and COST Action GAMENET. Tomas Brazdil is supported by the Grant Agency of Masaryk University grant no. MUNI/G/0739/2017 and by the Czech Science Foundation grant No. 18-11193S. Petr Novotny and Jirı Vahala are supported by the Czech Science Foundation grant No. GJ19-15134Y. article_processing_charge: No article_type: original author: - first_name: Tomáš full_name: Brázdil, Tomáš last_name: Brázdil - first_name: Krishnendu full_name: Chatterjee, Krishnendu id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87 last_name: Chatterjee orcid: 0000-0002-4561-241X - first_name: Petr full_name: Novotný, Petr last_name: Novotný - first_name: Jiří full_name: Vahala, Jiří last_name: Vahala citation: ama: Brázdil T, Chatterjee K, Novotný P, Vahala J. Reinforcement learning of risk-constrained policies in Markov decision processes. Proceedings of the 34th AAAI Conference on Artificial Intelligence. 2020;34(06):9794-9801. doi:10.1609/aaai.v34i06.6531 apa: 'Brázdil, T., Chatterjee, K., Novotný, P., & Vahala, J. (2020). Reinforcement learning of risk-constrained policies in Markov decision processes. Proceedings of the 34th AAAI Conference on Artificial Intelligence. New York, NY, United States: Association for the Advancement of Artificial Intelligence. https://doi.org/10.1609/aaai.v34i06.6531' chicago: Brázdil, Tomáš, Krishnendu Chatterjee, Petr Novotný, and Jiří Vahala. “Reinforcement Learning of Risk-Constrained Policies in Markov Decision Processes.” Proceedings of the 34th AAAI Conference on Artificial Intelligence. Association for the Advancement of Artificial Intelligence, 2020. https://doi.org/10.1609/aaai.v34i06.6531. ieee: T. Brázdil, K. Chatterjee, P. Novotný, and J. Vahala, “Reinforcement learning of risk-constrained policies in Markov decision processes,” Proceedings of the 34th AAAI Conference on Artificial Intelligence, vol. 34, no. 06. Association for the Advancement of Artificial Intelligence, pp. 9794–9801, 2020. ista: Brázdil T, Chatterjee K, Novotný P, Vahala J. 2020. Reinforcement learning of risk-constrained policies in Markov decision processes. Proceedings of the 34th AAAI Conference on Artificial Intelligence. 34(06), 9794–9801. mla: Brázdil, Tomáš, et al. “Reinforcement Learning of Risk-Constrained Policies in Markov Decision Processes.” Proceedings of the 34th AAAI Conference on Artificial Intelligence, vol. 34, no. 06, Association for the Advancement of Artificial Intelligence, 2020, pp. 9794–801, doi:10.1609/aaai.v34i06.6531. short: T. Brázdil, K. Chatterjee, P. Novotný, J. Vahala, Proceedings of the 34th AAAI Conference on Artificial Intelligence 34 (2020) 9794–9801. conference: end_date: 2020-02-12 location: New York, NY, United States name: 'AAAI: Conference on Artificial Intelligence' start_date: 2020-02-07 date_created: 2024-03-04T08:07:22Z date_published: 2020-04-03T00:00:00Z date_updated: 2024-03-04T08:30:16Z day: '03' department: - _id: KrCh doi: 10.1609/aaai.v34i06.6531 external_id: arxiv: - '2002.12086' intvolume: ' 34' issue: '06' keyword: - General Medicine language: - iso: eng main_file_link: - open_access: '1' url: https://doi.org/10.48550/arXiv.2002.12086 month: '04' oa: 1 oa_version: Preprint page: 9794-9801 project: - _id: 25863FF4-B435-11E9-9278-68D0E5697425 call_identifier: FWF grant_number: S11407 name: Game Theory publication: Proceedings of the 34th AAAI Conference on Artificial Intelligence publication_identifier: issn: - 2374-3468 publication_status: published publisher: Association for the Advancement of Artificial Intelligence quality_controlled: '1' status: public title: Reinforcement learning of risk-constrained policies in Markov decision processes type: journal_article user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87 volume: 34 year: '2020' ... --- _id: '15082' abstract: - lang: eng text: "Two plane drawings of geometric graphs on the same set of points are called disjoint compatible if their union is plane and they do not have an edge in common. For a given set S of 2n points two plane drawings of perfect matchings M1 and M2 (which do not need to be disjoint nor compatible) are disjoint tree-compatible if there exists a plane drawing of a spanning tree T on S which is disjoint compatible to both M1 and M2.\r\nWe show that the graph of all disjoint tree-compatible perfect geometric matchings on 2n points in convex position is connected if and only if 2n ≥ 10. Moreover, in that case the diameter\r\nof this graph is either 4 or 5, independent of n." acknowledgement: Research on this work was initiated at the 6th Austrian-Japanese-Mexican-Spanish Workshop on Discrete Geometry and continued during the 16th European Geometric Graph-Week, both held near Strobl, Austria. We are grateful to the participants for the inspiring atmosphere. We especially thank Alexander Pilz for bringing this class of problems to our attention and Birgit Vogtenhuber for inspiring discussions. D.P. is partially supported by the FWF grant I 3340-N35 (Collaborative DACH project Arrangements and Drawings). The research stay of P.P. at IST Austria is funded by the project CZ.02.2.69/0.0/0.0/17_050/0008466 Improvement of internationalization in the field of research and development at Charles University, through the support of quality projects MSCA-IF. This project has received funding from the European Union’s Horizon 2020 research and innovation programme under the Marie Skłodowska-Curie grant agreement No 734922. article_number: '56' article_processing_charge: No author: - first_name: Oswin full_name: Aichholzer, Oswin last_name: Aichholzer - first_name: Julia full_name: Obmann, Julia last_name: Obmann - first_name: Pavel full_name: Patak, Pavel id: B593B804-1035-11EA-B4F1-947645A5BB83 last_name: Patak - first_name: Daniel full_name: Perz, Daniel last_name: Perz - first_name: Josef full_name: Tkadlec, Josef id: 3F24CCC8-F248-11E8-B48F-1D18A9856A87 last_name: Tkadlec orcid: 0000-0002-1097-9684 citation: ama: 'Aichholzer O, Obmann J, Patak P, Perz D, Tkadlec J. Disjoint tree-compatible plane perfect matchings. In: 36th European Workshop on Computational Geometry. ; 2020.' apa: Aichholzer, O., Obmann, J., Patak, P., Perz, D., & Tkadlec, J. (2020). Disjoint tree-compatible plane perfect matchings. In 36th European Workshop on Computational Geometry. Würzburg, Germany, Virtual. chicago: Aichholzer, Oswin, Julia Obmann, Pavel Patak, Daniel Perz, and Josef Tkadlec. “Disjoint Tree-Compatible Plane Perfect Matchings.” In 36th European Workshop on Computational Geometry, 2020. ieee: O. Aichholzer, J. Obmann, P. Patak, D. Perz, and J. Tkadlec, “Disjoint tree-compatible plane perfect matchings,” in 36th European Workshop on Computational Geometry, Würzburg, Germany, Virtual, 2020. ista: 'Aichholzer O, Obmann J, Patak P, Perz D, Tkadlec J. 2020. Disjoint tree-compatible plane perfect matchings. 36th European Workshop on Computational Geometry. EuroCG: European Workshop on Computational Geometry, 56.' mla: Aichholzer, Oswin, et al. “Disjoint Tree-Compatible Plane Perfect Matchings.” 36th European Workshop on Computational Geometry, 56, 2020. short: O. Aichholzer, J. Obmann, P. Patak, D. Perz, J. Tkadlec, in:, 36th European Workshop on Computational Geometry, 2020. conference: end_date: 2020-03-18 location: Würzburg, Germany, Virtual name: 'EuroCG: European Workshop on Computational Geometry' start_date: 2020-03-16 date_created: 2024-03-05T08:57:17Z date_published: 2020-04-01T00:00:00Z date_updated: 2024-03-05T09:00:07Z day: '01' department: - _id: KrCh - _id: UlWa language: - iso: eng main_file_link: - open_access: '1' url: https://www1.pub.informatik.uni-wuerzburg.de/eurocg2020/data/uploads/papers/eurocg20_paper_56.pdf month: '04' oa: 1 oa_version: Published Version publication: 36th European Workshop on Computational Geometry publication_status: published quality_controlled: '1' status: public title: Disjoint tree-compatible plane perfect matchings type: conference user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87 year: '2020' ... --- _id: '7810' abstract: - lang: eng text: "Interprocedural data-flow analyses form an expressive and useful paradigm of numerous static analysis applications, such as live variables analysis, alias analysis and null pointers analysis. The most widely-used framework for interprocedural data-flow analysis is IFDS, which encompasses distributive data-flow functions over a finite domain. On-demand data-flow analyses restrict the focus of the analysis on specific program locations and data facts. This setting provides a natural split between (i) an offline (or preprocessing) phase, where the program is partially analyzed and analysis summaries are created, and (ii) an online (or query) phase, where analysis queries arrive on demand and the summaries are used to speed up answering queries.\r\nIn this work, we consider on-demand IFDS analyses where the queries concern program locations of the same procedure (aka same-context queries). We exploit the fact that flow graphs of programs have low treewidth to develop faster algorithms that are space and time optimal for many common data-flow analyses, in both the preprocessing and the query phase. We also use treewidth to develop query solutions that are embarrassingly parallelizable, i.e. the total work for answering each query is split to a number of threads such that each thread performs only a constant amount of work. Finally, we implement a static analyzer based on our algorithms, and perform a series of on-demand analysis experiments on standard benchmarks. Our experimental results show a drastic speed-up of the queries after only a lightweight preprocessing phase, which significantly outperforms existing techniques." alternative_title: - LNCS article_processing_charge: No author: - first_name: Krishnendu full_name: Chatterjee, Krishnendu id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87 last_name: Chatterjee orcid: 0000-0002-4561-241X - first_name: Amir Kafshdar full_name: Goharshady, Amir Kafshdar id: 391365CE-F248-11E8-B48F-1D18A9856A87 last_name: Goharshady orcid: 0000-0003-1702-6584 - first_name: Rasmus full_name: Ibsen-Jensen, Rasmus id: 3B699956-F248-11E8-B48F-1D18A9856A87 last_name: Ibsen-Jensen orcid: 0000-0003-4783-0389 - first_name: Andreas full_name: Pavlogiannis, Andreas id: 49704004-F248-11E8-B48F-1D18A9856A87 last_name: Pavlogiannis orcid: 0000-0002-8943-0722 citation: ama: 'Chatterjee K, Goharshady AK, Ibsen-Jensen R, Pavlogiannis A. Optimal and perfectly parallel algorithms for on-demand data-flow analysis. In: European Symposium on Programming. Vol 12075. Springer Nature; 2020:112-140. doi:10.1007/978-3-030-44914-8_5' apa: 'Chatterjee, K., Goharshady, A. K., Ibsen-Jensen, R., & Pavlogiannis, A. (2020). Optimal and perfectly parallel algorithms for on-demand data-flow analysis. In European Symposium on Programming (Vol. 12075, pp. 112–140). Dublin, Ireland: Springer Nature. https://doi.org/10.1007/978-3-030-44914-8_5' chicago: Chatterjee, Krishnendu, Amir Kafshdar Goharshady, Rasmus Ibsen-Jensen, and Andreas Pavlogiannis. “Optimal and Perfectly Parallel Algorithms for On-Demand Data-Flow Analysis.” In European Symposium on Programming, 12075:112–40. Springer Nature, 2020. https://doi.org/10.1007/978-3-030-44914-8_5. ieee: K. Chatterjee, A. K. Goharshady, R. Ibsen-Jensen, and A. Pavlogiannis, “Optimal and perfectly parallel algorithms for on-demand data-flow analysis,” in European Symposium on Programming, Dublin, Ireland, 2020, vol. 12075, pp. 112–140. ista: 'Chatterjee K, Goharshady AK, Ibsen-Jensen R, Pavlogiannis A. 2020. Optimal and perfectly parallel algorithms for on-demand data-flow analysis. European Symposium on Programming. ESOP: Programming Languages and Systems, LNCS, vol. 12075, 112–140.' mla: Chatterjee, Krishnendu, et al. “Optimal and Perfectly Parallel Algorithms for On-Demand Data-Flow Analysis.” European Symposium on Programming, vol. 12075, Springer Nature, 2020, pp. 112–40, doi:10.1007/978-3-030-44914-8_5. short: K. Chatterjee, A.K. Goharshady, R. Ibsen-Jensen, A. Pavlogiannis, in:, European Symposium on Programming, Springer Nature, 2020, pp. 112–140. conference: end_date: 2020-04-30 location: Dublin, Ireland name: 'ESOP: Programming Languages and Systems' start_date: 2020-04-25 date_created: 2020-05-10T22:00:50Z date_published: 2020-04-18T00:00:00Z date_updated: 2024-03-27T23:30:33Z day: '18' ddc: - '000' department: - _id: KrCh doi: 10.1007/978-3-030-44914-8_5 external_id: isi: - '000681656800005' file: - access_level: open_access checksum: 8618b80f4cf7b39a60e61a6445ad9807 content_type: application/pdf creator: dernst date_created: 2020-05-26T13:34:48Z date_updated: 2020-07-14T12:48:03Z file_id: '7895' file_name: 2020_LNCS_Chatterjee.pdf file_size: 651250 relation: main_file file_date_updated: 2020-07-14T12:48:03Z has_accepted_license: '1' intvolume: ' 12075' isi: 1 language: - iso: eng month: '04' oa: 1 oa_version: Published Version page: 112-140 project: - _id: 25832EC2-B435-11E9-9278-68D0E5697425 call_identifier: FWF grant_number: S 11407_N23 name: Rigorous Systems Engineering - _id: 25892FC0-B435-11E9-9278-68D0E5697425 grant_number: ICT15-003 name: Efficient Algorithms for Computer Aided Verification - _id: 266EEEC0-B435-11E9-9278-68D0E5697425 name: Quantitative Game-theoretic Analysis of Blockchain Applications and Smart Contracts - _id: 267066CE-B435-11E9-9278-68D0E5697425 name: Quantitative Analysis of Probablistic Systems with a focus on Crypto-currencies publication: European Symposium on Programming publication_identifier: eissn: - '16113349' isbn: - '9783030449131' issn: - '03029743' publication_status: published publisher: Springer Nature quality_controlled: '1' related_material: record: - id: '8934' relation: dissertation_contains status: public scopus_import: '1' status: public title: Optimal and perfectly parallel algorithms for on-demand data-flow analysis tmp: image: /images/cc_by.png legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0) short: CC BY (4.0) type: conference user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8 volume: 12075 year: '2020' ... --- _id: '8728' abstract: - lang: eng text: Discrete-time Markov Chains (MCs) and Markov Decision Processes (MDPs) are two standard formalisms in system analysis. Their main associated quantitative objectives are hitting probabilities, discounted sum, and mean payoff. Although there are many techniques for computing these objectives in general MCs/MDPs, they have not been thoroughly studied in terms of parameterized algorithms, particularly when treewidth is used as the parameter. This is in sharp contrast to qualitative objectives for MCs, MDPs and graph games, for which treewidth-based algorithms yield significant complexity improvements. In this work, we show that treewidth can also be used to obtain faster algorithms for the quantitative problems. For an MC with n states and m transitions, we show that each of the classical quantitative objectives can be computed in O((n+m)⋅t2) time, given a tree decomposition of the MC with width t. Our results also imply a bound of O(κ⋅(n+m)⋅t2) for each objective on MDPs, where κ is the number of strategy-iteration refinements required for the given input and objective. Finally, we make an experimental evaluation of our new algorithms on low-treewidth MCs and MDPs obtained from the DaCapo benchmark suite. Our experiments show that on low-treewidth MCs and MDPs, our algorithms outperform existing well-established methods by one or more orders of magnitude. alternative_title: - LNCS article_processing_charge: No author: - first_name: Ali full_name: Asadi, Ali last_name: Asadi - first_name: Krishnendu full_name: Chatterjee, Krishnendu id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87 last_name: Chatterjee orcid: 0000-0002-4561-241X - first_name: Amir Kafshdar full_name: Goharshady, Amir Kafshdar id: 391365CE-F248-11E8-B48F-1D18A9856A87 last_name: Goharshady orcid: 0000-0003-1702-6584 - first_name: Kiarash full_name: Mohammadi, Kiarash last_name: Mohammadi - first_name: Andreas full_name: Pavlogiannis, Andreas id: 49704004-F248-11E8-B48F-1D18A9856A87 last_name: Pavlogiannis orcid: 0000-0002-8943-0722 citation: ama: 'Asadi A, Chatterjee K, Goharshady AK, Mohammadi K, Pavlogiannis A. Faster algorithms for quantitative analysis of MCs and MDPs with small treewidth. In: Automated Technology for Verification and Analysis. Vol 12302. Springer Nature; 2020:253-270. doi:10.1007/978-3-030-59152-6_14' apa: 'Asadi, A., Chatterjee, K., Goharshady, A. K., Mohammadi, K., & Pavlogiannis, A. (2020). Faster algorithms for quantitative analysis of MCs and MDPs with small treewidth. In Automated Technology for Verification and Analysis (Vol. 12302, pp. 253–270). Hanoi, Vietnam: Springer Nature. https://doi.org/10.1007/978-3-030-59152-6_14' chicago: Asadi, Ali, Krishnendu Chatterjee, Amir Kafshdar Goharshady, Kiarash Mohammadi, and Andreas Pavlogiannis. “Faster Algorithms for Quantitative Analysis of MCs and MDPs with Small Treewidth.” In Automated Technology for Verification and Analysis, 12302:253–70. Springer Nature, 2020. https://doi.org/10.1007/978-3-030-59152-6_14. ieee: A. Asadi, K. Chatterjee, A. K. Goharshady, K. Mohammadi, and A. Pavlogiannis, “Faster algorithms for quantitative analysis of MCs and MDPs with small treewidth,” in Automated Technology for Verification and Analysis, Hanoi, Vietnam, 2020, vol. 12302, pp. 253–270. ista: 'Asadi A, Chatterjee K, Goharshady AK, Mohammadi K, Pavlogiannis A. 2020. Faster algorithms for quantitative analysis of MCs and MDPs with small treewidth. Automated Technology for Verification and Analysis. ATVA: Automated Technology for Verification and Analysis, LNCS, vol. 12302, 253–270.' mla: Asadi, Ali, et al. “Faster Algorithms for Quantitative Analysis of MCs and MDPs with Small Treewidth.” Automated Technology for Verification and Analysis, vol. 12302, Springer Nature, 2020, pp. 253–70, doi:10.1007/978-3-030-59152-6_14. short: A. Asadi, K. Chatterjee, A.K. Goharshady, K. Mohammadi, A. Pavlogiannis, in:, Automated Technology for Verification and Analysis, Springer Nature, 2020, pp. 253–270. conference: end_date: 2020-10-23 location: Hanoi, Vietnam name: 'ATVA: Automated Technology for Verification and Analysis' start_date: 2020-10-19 date_created: 2020-11-06T07:30:05Z date_published: 2020-10-12T00:00:00Z date_updated: 2024-03-27T23:30:33Z day: '12' ddc: - '000' department: - _id: KrCh doi: 10.1007/978-3-030-59152-6_14 external_id: isi: - '000723555700014' file: - access_level: open_access checksum: ae83f27e5b189d5abc2e7514f1b7e1b5 content_type: application/pdf creator: dernst date_created: 2020-11-06T07:41:03Z date_updated: 2020-11-06T07:41:03Z file_id: '8729' file_name: 2020_LNCS_ATVA_Asadi_accepted.pdf file_size: 726648 relation: main_file success: 1 file_date_updated: 2020-11-06T07:41:03Z has_accepted_license: '1' intvolume: ' 12302' isi: 1 language: - iso: eng month: '10' oa: 1 oa_version: Submitted Version page: 253-270 project: - _id: 25832EC2-B435-11E9-9278-68D0E5697425 call_identifier: FWF grant_number: S 11407_N23 name: Rigorous Systems Engineering - _id: 25892FC0-B435-11E9-9278-68D0E5697425 grant_number: ICT15-003 name: Efficient Algorithms for Computer Aided Verification - _id: 267066CE-B435-11E9-9278-68D0E5697425 name: Quantitative Analysis of Probablistic Systems with a focus on Crypto-currencies publication: Automated Technology for Verification and Analysis publication_identifier: eisbn: - '9783030591526' eissn: - 1611-3349 isbn: - '9783030591519' issn: - 0302-9743 publication_status: published publisher: Springer Nature quality_controlled: '1' related_material: record: - id: '8934' relation: dissertation_contains status: public scopus_import: '1' status: public title: Faster algorithms for quantitative analysis of MCs and MDPs with small treewidth type: conference user_id: c635000d-4b10-11ee-a964-aac5a93f6ac1 volume: 12302 year: '2020' ... --- _id: '8089' abstract: - lang: eng text: "We consider the classical problem of invariant generation for programs with polynomial assignments and focus on synthesizing invariants that are a conjunction of strict polynomial inequalities. We present a sound and semi-complete method based on positivstellensaetze, i.e. theorems in semi-algebraic geometry that characterize positive polynomials over a semi-algebraic set.\r\n\r\nOn the theoretical side, the worst-case complexity of our approach is subexponential, whereas the worst-case complexity of the previous complete method (Kapur, ACA 2004) is doubly-exponential. Even when restricted to linear invariants, the best previous complexity for complete invariant generation is exponential (Colon et al, CAV 2003). On the practical side, we reduce the invariant generation problem to quadratic programming (QCLP), which is a classical optimization problem with many industrial solvers. We demonstrate the applicability of our approach by providing experimental results on several academic benchmarks. To the best of our knowledge, the only previous invariant generation method that provides completeness guarantees for invariants consisting of polynomial inequalities is (Kapur, ACA 2004), which relies on quantifier elimination and cannot even handle toy programs such as our running example." article_processing_charge: No author: - first_name: Krishnendu full_name: Chatterjee, Krishnendu id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87 last_name: Chatterjee orcid: 0000-0002-4561-241X - first_name: Hongfei full_name: Fu, Hongfei id: 3AAD03D6-F248-11E8-B48F-1D18A9856A87 last_name: Fu - first_name: Amir Kafshdar full_name: Goharshady, Amir Kafshdar id: 391365CE-F248-11E8-B48F-1D18A9856A87 last_name: Goharshady orcid: 0000-0003-1702-6584 - first_name: Ehsan Kafshdar full_name: Goharshady, Ehsan Kafshdar last_name: Goharshady citation: ama: 'Chatterjee K, Fu H, Goharshady AK, Goharshady EK. Polynomial invariant generation for non-deterministic recursive programs. In: Proceedings of the 41st ACM SIGPLAN Conference on Programming Language Design and Implementation. Association for Computing Machinery; 2020:672-687. doi:10.1145/3385412.3385969' apa: 'Chatterjee, K., Fu, H., Goharshady, A. K., & Goharshady, E. K. (2020). Polynomial invariant generation for non-deterministic recursive programs. In Proceedings of the 41st ACM SIGPLAN Conference on Programming Language Design and Implementation (pp. 672–687). London, United Kingdom: Association for Computing Machinery. https://doi.org/10.1145/3385412.3385969' chicago: Chatterjee, Krishnendu, Hongfei Fu, Amir Kafshdar Goharshady, and Ehsan Kafshdar Goharshady. “Polynomial Invariant Generation for Non-Deterministic Recursive Programs.” In Proceedings of the 41st ACM SIGPLAN Conference on Programming Language Design and Implementation, 672–87. Association for Computing Machinery, 2020. https://doi.org/10.1145/3385412.3385969. ieee: K. Chatterjee, H. Fu, A. K. Goharshady, and E. K. Goharshady, “Polynomial invariant generation for non-deterministic recursive programs,” in Proceedings of the 41st ACM SIGPLAN Conference on Programming Language Design and Implementation, London, United Kingdom, 2020, pp. 672–687. ista: 'Chatterjee K, Fu H, Goharshady AK, Goharshady EK. 2020. Polynomial invariant generation for non-deterministic recursive programs. Proceedings of the 41st ACM SIGPLAN Conference on Programming Language Design and Implementation. PLDI: Programming Language Design and Implementation, 672–687.' mla: Chatterjee, Krishnendu, et al. “Polynomial Invariant Generation for Non-Deterministic Recursive Programs.” Proceedings of the 41st ACM SIGPLAN Conference on Programming Language Design and Implementation, Association for Computing Machinery, 2020, pp. 672–87, doi:10.1145/3385412.3385969. short: K. Chatterjee, H. Fu, A.K. Goharshady, E.K. Goharshady, in:, Proceedings of the 41st ACM SIGPLAN Conference on Programming Language Design and Implementation, Association for Computing Machinery, 2020, pp. 672–687. conference: end_date: 2020-06-20 location: London, United Kingdom name: 'PLDI: Programming Language Design and Implementation' start_date: 2020-06-15 date_created: 2020-07-05T22:00:45Z date_published: 2020-06-11T00:00:00Z date_updated: 2024-03-27T23:30:33Z day: '11' department: - _id: KrCh doi: 10.1145/3385412.3385969 external_id: arxiv: - '1902.04373' isi: - '000614622300045' isi: 1 language: - iso: eng main_file_link: - open_access: '1' url: https://arxiv.org/abs/1902.04373 month: '06' oa: 1 oa_version: Preprint page: 672-687 project: - _id: 25832EC2-B435-11E9-9278-68D0E5697425 call_identifier: FWF grant_number: S 11407_N23 name: Rigorous Systems Engineering - _id: 25892FC0-B435-11E9-9278-68D0E5697425 grant_number: ICT15-003 name: Efficient Algorithms for Computer Aided Verification publication: Proceedings of the 41st ACM SIGPLAN Conference on Programming Language Design and Implementation publication_identifier: isbn: - '9781450376136' publication_status: published publisher: Association for Computing Machinery quality_controlled: '1' related_material: record: - id: '8934' relation: dissertation_contains status: public scopus_import: '1' status: public title: Polynomial invariant generation for non-deterministic recursive programs type: conference user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87 year: '2020' ... --- _id: '6918' abstract: - lang: eng text: "We consider the classic problem of Network Reliability. A network is given together with a source vertex, one or more target vertices, and probabilities assigned to each of the edges. Each edge of the network is operable with its associated probability and the problem is to determine the probability of having at least one source-to-target path that is entirely composed of operable edges. This problem is known to be NP-hard.\r\n\r\nWe provide a novel scalable algorithm to solve the Network Reliability problem when the treewidth of the underlying network is small. We also show our algorithm’s applicability for real-world transit networks that have small treewidth, including the metro networks of major cities, such as London and Tokyo. Our algorithm leverages tree decompositions to shrink the original graph into much smaller graphs, for which reliability can be efficiently and exactly computed using a brute force method. To the best of our knowledge, this is the first exact algorithm for Network Reliability that can scale to handle real-world instances of the problem." acknowledgement: We are grateful to the anonymous reviewers for their comments, which significantly improved the present work. The research was partially supported by the EPSRC Early Career Fellowship EP/R023379/1, grant no. SC7-1718-01 of the London Mathematical Society, an IBM PhD Fellowship, and a DOC Fellowship of the Austrian Academy of Sciences (ÖAW). article_number: '106665' article_processing_charge: No article_type: original author: - first_name: Amir Kafshdar full_name: Goharshady, Amir Kafshdar id: 391365CE-F248-11E8-B48F-1D18A9856A87 last_name: Goharshady orcid: 0000-0003-1702-6584 - first_name: Fatemeh full_name: Mohammadi, Fatemeh last_name: Mohammadi citation: ama: Goharshady AK, Mohammadi F. An efficient algorithm for computing network reliability in small treewidth. Reliability Engineering and System Safety. 2020;193. doi:10.1016/j.ress.2019.106665 apa: Goharshady, A. K., & Mohammadi, F. (2020). An efficient algorithm for computing network reliability in small treewidth. Reliability Engineering and System Safety. Elsevier. https://doi.org/10.1016/j.ress.2019.106665 chicago: Goharshady, Amir Kafshdar, and Fatemeh Mohammadi. “An Efficient Algorithm for Computing Network Reliability in Small Treewidth.” Reliability Engineering and System Safety. Elsevier, 2020. https://doi.org/10.1016/j.ress.2019.106665. ieee: A. K. Goharshady and F. Mohammadi, “An efficient algorithm for computing network reliability in small treewidth,” Reliability Engineering and System Safety, vol. 193. Elsevier, 2020. ista: Goharshady AK, Mohammadi F. 2020. An efficient algorithm for computing network reliability in small treewidth. Reliability Engineering and System Safety. 193, 106665. mla: Goharshady, Amir Kafshdar, and Fatemeh Mohammadi. “An Efficient Algorithm for Computing Network Reliability in Small Treewidth.” Reliability Engineering and System Safety, vol. 193, 106665, Elsevier, 2020, doi:10.1016/j.ress.2019.106665. short: A.K. Goharshady, F. Mohammadi, Reliability Engineering and System Safety 193 (2020). date_created: 2019-09-29T22:00:44Z date_published: 2020-01-01T00:00:00Z date_updated: 2024-03-27T23:30:33Z day: '01' department: - _id: KrCh doi: 10.1016/j.ress.2019.106665 external_id: arxiv: - '1712.09692' isi: - '000501641400050' intvolume: ' 193' isi: 1 language: - iso: eng main_file_link: - open_access: '1' url: https://arxiv.org/abs/1712.09692 month: '01' oa: 1 oa_version: Preprint project: - _id: 266EEEC0-B435-11E9-9278-68D0E5697425 name: Quantitative Game-theoretic Analysis of Blockchain Applications and Smart Contracts publication: Reliability Engineering and System Safety publication_identifier: issn: - '09518320' publication_status: published publisher: Elsevier quality_controlled: '1' related_material: record: - id: '8934' relation: dissertation_contains status: public scopus_import: '1' status: public title: An efficient algorithm for computing network reliability in small treewidth type: journal_article user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8 volume: 193 year: '2020' ... --- _id: '6887' abstract: - lang: eng text: 'The fundamental model-checking problem, given as input a model and a specification, asks for the algorithmic verification of whether the model satisfies the specification. Two classical models for reactive systems are graphs and Markov decision processes (MDPs). A basic specification formalism in the verification of reactive systems is the strong fairness (aka Streett) objective, where given different types of requests and corresponding grants, the requirement is that for each type, if the request event happens infinitely often, then the corresponding grant event must also happen infinitely often. All omega-regular objectives can be expressed as Streett objectives and hence they are canonical in verification. Consider graphs/MDPs with n vertices, m edges, and a Streett objectives with k pairs, and let b denote the size of the description of the Streett objective for the sets of requests and grants. The current best-known algorithm for the problem requires time O(min(n^2, m sqrt{m log n}) + b log n). In this work we present randomized near-linear time algorithms, with expected running time O~(m + b), where the O~ notation hides poly-log factors. Our randomized algorithms are near-linear in the size of the input, and hence optimal up to poly-log factors. ' alternative_title: - LIPIcs article_number: '7' article_processing_charge: No author: - first_name: Krishnendu full_name: Chatterjee, Krishnendu id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87 last_name: Chatterjee orcid: 0000-0002-4561-241X - first_name: Wolfgang full_name: Dvorák, Wolfgang last_name: Dvorák - first_name: Monika H full_name: Henzinger, Monika H id: 540c9bbd-f2de-11ec-812d-d04a5be85630 last_name: Henzinger orcid: 0000-0002-5008-6530 - first_name: Alexander full_name: Svozil, Alexander last_name: Svozil citation: ama: 'Chatterjee K, Dvorák W, Henzinger MH, Svozil A. Near-linear time algorithms for Streett objectives in graphs and MDPs. In: Leibniz International Proceedings in Informatics. Vol 140. Schloss Dagstuhl - Leibniz-Zentrum für Informatik; 2019. doi:10.4230/LIPICS.CONCUR.2019.7' apa: 'Chatterjee, K., Dvorák, W., Henzinger, M. H., & Svozil, A. (2019). Near-linear time algorithms for Streett objectives in graphs and MDPs. In Leibniz International Proceedings in Informatics (Vol. 140). Amsterdam, Netherlands: Schloss Dagstuhl - Leibniz-Zentrum für Informatik. https://doi.org/10.4230/LIPICS.CONCUR.2019.7' chicago: Chatterjee, Krishnendu, Wolfgang Dvorák, Monika H Henzinger, and Alexander Svozil. “Near-Linear Time Algorithms for Streett Objectives in Graphs and MDPs.” In Leibniz International Proceedings in Informatics, Vol. 140. Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2019. https://doi.org/10.4230/LIPICS.CONCUR.2019.7. ieee: K. Chatterjee, W. Dvorák, M. H. Henzinger, and A. Svozil, “Near-linear time algorithms for Streett objectives in graphs and MDPs,” in Leibniz International Proceedings in Informatics, Amsterdam, Netherlands, 2019, vol. 140. ista: 'Chatterjee K, Dvorák W, Henzinger MH, Svozil A. 2019. Near-linear time algorithms for Streett objectives in graphs and MDPs. Leibniz International Proceedings in Informatics. CONCUR: International Conference on Concurrency Theory, LIPIcs, vol. 140, 7.' mla: Chatterjee, Krishnendu, et al. “Near-Linear Time Algorithms for Streett Objectives in Graphs and MDPs.” Leibniz International Proceedings in Informatics, vol. 140, 7, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2019, doi:10.4230/LIPICS.CONCUR.2019.7. short: K. Chatterjee, W. Dvorák, M.H. Henzinger, A. Svozil, in:, Leibniz International Proceedings in Informatics, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2019. conference: end_date: 2019-08-30 location: Amsterdam, Netherlands name: 'CONCUR: International Conference on Concurrency Theory' start_date: 2019-08-27 date_created: 2019-09-18T08:07:58Z date_published: 2019-08-01T00:00:00Z date_updated: 2022-08-12T10:54:34Z day: '01' ddc: - '000' department: - _id: KrCh doi: 10.4230/LIPICS.CONCUR.2019.7 ec_funded: 1 file: - access_level: open_access checksum: e1f0e4061212454574f34a1368d018ec content_type: application/pdf creator: kschuh date_created: 2019-10-01T08:20:30Z date_updated: 2020-07-14T12:47:43Z file_id: '6922' file_name: 2019_LIPIcs_Chatterjee.pdf file_size: 730112 relation: main_file file_date_updated: 2020-07-14T12:47:43Z has_accepted_license: '1' intvolume: ' 140' language: - iso: eng month: '08' oa: 1 oa_version: Published Version project: - _id: 25863FF4-B435-11E9-9278-68D0E5697425 call_identifier: FWF grant_number: S11407 name: Game Theory - _id: 2581B60A-B435-11E9-9278-68D0E5697425 call_identifier: FP7 grant_number: '279307' name: 'Quantitative Graph Games: Theory and Applications' publication: Leibniz International Proceedings in Informatics publication_status: published publisher: Schloss Dagstuhl - Leibniz-Zentrum für Informatik quality_controlled: '1' scopus_import: '1' status: public title: Near-linear time algorithms for Streett objectives in graphs and MDPs tmp: image: /images/cc_by.png legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0) short: CC BY (4.0) type: conference user_id: 6785fbc1-c503-11eb-8a32-93094b40e1cf volume: 140 year: '2019' ... --- _id: '6885' abstract: - lang: eng text: 'A vector addition system with states (VASS) consists of a finite set of states and counters. A configuration is a state and a value for each counter; a transition changes the state and each counter is incremented, decremented, or left unchanged. While qualitative properties such as state and configuration reachability have been studied for VASS, we consider the long-run average cost of infinite computations of VASS. The cost of a configuration is for each state, a linear combination of the counter values. In the special case of uniform cost functions, the linear combination is the same for all states. The (regular) long-run emptiness problem is, given a VASS, a cost function, and a threshold value, if there is a (lasso-shaped) computation such that the long-run average value of the cost function does not exceed the threshold. For uniform cost functions, we show that the regular long-run emptiness problem is (a) decidable in polynomial time for integer-valued VASS, and (b) decidable but nonelementarily hard for natural-valued VASS (i.e., nonnegative counters). For general cost functions, we show that the problem is (c) NP-complete for integer-valued VASS, and (d) undecidable for natural-valued VASS. Our most interesting result is for (c) integer-valued VASS with general cost functions, where we establish a connection between the regular long-run emptiness problem and quadratic Diophantine inequalities. The general (nonregular) long-run emptiness problem is equally hard as the regular problem in all cases except (c), where it remains open. ' alternative_title: - LIPIcs article_number: '27' author: - first_name: Krishnendu full_name: Chatterjee, Krishnendu id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87 last_name: Chatterjee orcid: 0000-0002-4561-241X - first_name: Thomas A full_name: Henzinger, Thomas A id: 40876CD8-F248-11E8-B48F-1D18A9856A87 last_name: Henzinger orcid: 0000−0002−2985−7724 - first_name: Jan full_name: Otop, Jan last_name: Otop citation: ama: 'Chatterjee K, Henzinger TA, Otop J. Long-run average behavior of vector addition systems with states. In: Vol 140. Schloss Dagstuhl - Leibniz-Zentrum für Informatik; 2019. doi:10.4230/LIPICS.CONCUR.2019.27' apa: 'Chatterjee, K., Henzinger, T. A., & Otop, J. (2019). Long-run average behavior of vector addition systems with states (Vol. 140). Presented at the CONCUR: International Conference on Concurrency Theory, Amsterdam, Netherlands: Schloss Dagstuhl - Leibniz-Zentrum für Informatik. https://doi.org/10.4230/LIPICS.CONCUR.2019.27' chicago: Chatterjee, Krishnendu, Thomas A Henzinger, and Jan Otop. “Long-Run Average Behavior of Vector Addition Systems with States,” Vol. 140. Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2019. https://doi.org/10.4230/LIPICS.CONCUR.2019.27. ieee: 'K. Chatterjee, T. A. Henzinger, and J. Otop, “Long-run average behavior of vector addition systems with states,” presented at the CONCUR: International Conference on Concurrency Theory, Amsterdam, Netherlands, 2019, vol. 140.' ista: 'Chatterjee K, Henzinger TA, Otop J. 2019. Long-run average behavior of vector addition systems with states. CONCUR: International Conference on Concurrency Theory, LIPIcs, vol. 140, 27.' mla: Chatterjee, Krishnendu, et al. Long-Run Average Behavior of Vector Addition Systems with States. Vol. 140, 27, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2019, doi:10.4230/LIPICS.CONCUR.2019.27. short: K. Chatterjee, T.A. Henzinger, J. Otop, in:, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2019. conference: end_date: 2019-08-30 location: Amsterdam, Netherlands name: 'CONCUR: International Conference on Concurrency Theory' start_date: 2019-08-27 date_created: 2019-09-18T08:06:14Z date_published: 2019-08-01T00:00:00Z date_updated: 2021-01-12T08:09:27Z day: '01' ddc: - '000' department: - _id: ToHe - _id: KrCh doi: 10.4230/LIPICS.CONCUR.2019.27 file: - access_level: open_access checksum: 4985e26e1572d1575d64d38acabd71d6 content_type: application/pdf creator: kschuh date_created: 2019-09-27T12:09:35Z date_updated: 2020-07-14T12:47:43Z file_id: '6914' file_name: 2019_LIPIcs_Chatterjee.pdf file_size: 538120 relation: main_file file_date_updated: 2020-07-14T12:47:43Z has_accepted_license: '1' intvolume: ' 140' language: - iso: eng month: '08' oa: 1 oa_version: Published Version project: - _id: 25863FF4-B435-11E9-9278-68D0E5697425 call_identifier: FWF grant_number: S11407 name: Game Theory - _id: 25F2ACDE-B435-11E9-9278-68D0E5697425 call_identifier: FWF grant_number: S11402-N23 name: Rigorous Systems Engineering publication_status: published publisher: Schloss Dagstuhl - Leibniz-Zentrum für Informatik quality_controlled: '1' scopus_import: 1 status: public title: Long-run average behavior of vector addition systems with states tmp: image: /images/cc_by.png legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0) short: CC BY (4.0) type: conference user_id: 3E5EF7F0-F248-11E8-B48F-1D18A9856A87 volume: 140 year: '2019' ... --- _id: '6889' abstract: - lang: eng text: 'We study Markov decision processes and turn-based stochastic games with parity conditions. There are three qualitative winning criteria, namely, sure winning, which requires all paths to satisfy the condition, almost-sure winning, which requires the condition to be satisfied with probability 1, and limit-sure winning, which requires the condition to be satisfied with probability arbitrarily close to 1. We study the combination of two of these criteria for parity conditions, e.g., there are two parity conditions one of which must be won surely, and the other almost-surely. The problem has been studied recently by Berthon et al. for MDPs with combination of sure and almost-sure winning, under infinite-memory strategies, and the problem has been established to be in NP cap co-NP. Even in MDPs there is a difference between finite-memory and infinite-memory strategies. Our main results for combination of sure and almost-sure winning are as follows: (a) we show that for MDPs with finite-memory strategies the problem is in NP cap co-NP; (b) we show that for turn-based stochastic games the problem is co-NP-complete, both for finite-memory and infinite-memory strategies; and (c) we present algorithmic results for the finite-memory case, both for MDPs and turn-based stochastic games, by reduction to non-stochastic parity games. In addition we show that all the above complexity results also carry over to combination of sure and limit-sure winning, and results for all other combinations can be derived from existing results in the literature. Thus we present a complete picture for the study of combinations of two qualitative winning criteria for parity conditions in MDPs and turn-based stochastic games. ' alternative_title: - LIPIcs article_number: '6' author: - first_name: Krishnendu full_name: Chatterjee, Krishnendu id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87 last_name: Chatterjee orcid: 0000-0002-4561-241X - first_name: Nir full_name: Piterman, Nir last_name: Piterman citation: ama: 'Chatterjee K, Piterman N. Combinations of Qualitative Winning for Stochastic Parity Games. In: Vol 140. Schloss Dagstuhl - Leibniz-Zentrum für Informatik; 2019. doi:10.4230/LIPICS.CONCUR.2019.6' apa: 'Chatterjee, K., & Piterman, N. (2019). Combinations of Qualitative Winning for Stochastic Parity Games (Vol. 140). Presented at the CONCUR: International Conference on Concurrency Theory, Amsterdam, Netherlands: Schloss Dagstuhl - Leibniz-Zentrum für Informatik. https://doi.org/10.4230/LIPICS.CONCUR.2019.6' chicago: Chatterjee, Krishnendu, and Nir Piterman. “Combinations of Qualitative Winning for Stochastic Parity Games,” Vol. 140. Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2019. https://doi.org/10.4230/LIPICS.CONCUR.2019.6. ieee: 'K. Chatterjee and N. Piterman, “Combinations of Qualitative Winning for Stochastic Parity Games,” presented at the CONCUR: International Conference on Concurrency Theory, Amsterdam, Netherlands, 2019, vol. 140.' ista: 'Chatterjee K, Piterman N. 2019. Combinations of Qualitative Winning for Stochastic Parity Games. CONCUR: International Conference on Concurrency Theory, LIPIcs, vol. 140, 6.' mla: Chatterjee, Krishnendu, and Nir Piterman. Combinations of Qualitative Winning for Stochastic Parity Games. Vol. 140, 6, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2019, doi:10.4230/LIPICS.CONCUR.2019.6. short: K. Chatterjee, N. Piterman, in:, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2019. conference: end_date: 2019-08-30 location: Amsterdam, Netherlands name: 'CONCUR: International Conference on Concurrency Theory' start_date: 2019-08-27 date_created: 2019-09-18T08:11:43Z date_published: 2019-08-01T00:00:00Z date_updated: 2021-01-12T08:09:28Z day: '01' ddc: - '000' department: - _id: KrCh doi: 10.4230/LIPICS.CONCUR.2019.6 file: - access_level: open_access checksum: 7b2ecfd4d9d02360308c0ca986fc10a7 content_type: application/pdf creator: kschuh date_created: 2019-10-01T08:49:45Z date_updated: 2020-07-14T12:47:43Z file_id: '6923' file_name: 2019_LIPIcs_Chatterjee.pdf file_size: 509163 relation: main_file file_date_updated: 2020-07-14T12:47:43Z has_accepted_license: '1' intvolume: ' 140' language: - iso: eng month: '08' oa: 1 oa_version: Published Version project: - _id: 25863FF4-B435-11E9-9278-68D0E5697425 call_identifier: FWF grant_number: S11407 name: Game Theory - _id: 25892FC0-B435-11E9-9278-68D0E5697425 grant_number: ICT15-003 name: Efficient Algorithms for Computer Aided Verification publication_status: published publisher: Schloss Dagstuhl - Leibniz-Zentrum für Informatik quality_controlled: '1' scopus_import: 1 status: public title: Combinations of Qualitative Winning for Stochastic Parity Games tmp: image: /images/cc_by.png legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0) short: CC BY (4.0) type: conference user_id: 3E5EF7F0-F248-11E8-B48F-1D18A9856A87 volume: 140 year: '2019' ... --- _id: '6884' abstract: - lang: eng text: 'In two-player games on graphs, the players move a token through a graph to produce a finite or infinite path, which determines the qualitative winner or quantitative payoff of the game. We study bidding games in which the players bid for the right to move the token. Several bidding rules were studied previously. In Richman bidding, in each round, the players simultaneously submit bids, and the higher bidder moves the token and pays the other player. Poorman bidding is similar except that the winner of the bidding pays the "bank" rather than the other player. Taxman bidding spans the spectrum between Richman and poorman bidding. They are parameterized by a constant tau in [0,1]: portion tau of the winning bid is paid to the other player, and portion 1-tau to the bank. While finite-duration (reachability) taxman games have been studied before, we present, for the first time, results on infinite-duration taxman games. It was previously shown that both Richman and poorman infinite-duration games with qualitative objectives reduce to reachability games, and we show a similar result here. Our most interesting results concern quantitative taxman games, namely mean-payoff games, where poorman and Richman bidding differ significantly. A central quantity in these games is the ratio between the two players'' initial budgets. While in poorman mean-payoff games, the optimal payoff of a player depends on the initial ratio, in Richman bidding, the payoff depends only on the structure of the game. In both games the optimal payoffs can be found using (different) probabilistic connections with random-turn games in which in each turn, instead of bidding, a coin is tossed to determine which player moves. While the value with Richman bidding equals the value of a random-turn game with an un-biased coin, with poorman bidding, the bias in the coin is the initial ratio of the budgets. We give a complete classification of mean-payoff taxman games that is based on a probabilistic connection: the value of a taxman bidding game with parameter tau and initial ratio r, equals the value of a random-turn game that uses a coin with bias F(tau, r) = (r+tau * (1-r))/(1+tau). Thus, we show that Richman bidding is the exception; namely, for every tau <1, the value of the game depends on the initial ratio. Our proof technique simplifies and unifies the previous proof techniques for both Richman and poorman bidding. ' alternative_title: - LIPIcs article_number: '11' author: - first_name: Guy full_name: Avni, Guy id: 463C8BC2-F248-11E8-B48F-1D18A9856A87 last_name: Avni orcid: 0000-0001-5588-8287 - first_name: Thomas A full_name: Henzinger, Thomas A id: 40876CD8-F248-11E8-B48F-1D18A9856A87 last_name: Henzinger orcid: 0000−0002−2985−7724 - first_name: Dorde full_name: Zikelic, Dorde id: 294AA7A6-F248-11E8-B48F-1D18A9856A87 last_name: Zikelic citation: ama: 'Avni G, Henzinger TA, Zikelic D. Bidding mechanisms in graph games. In: Vol 138. Schloss Dagstuhl - Leibniz-Zentrum für Informatik; 2019. doi:10.4230/LIPICS.MFCS.2019.11' apa: 'Avni, G., Henzinger, T. A., & Zikelic, D. (2019). Bidding mechanisms in graph games (Vol. 138). Presented at the MFCS: nternational Symposium on Mathematical Foundations of Computer Science, Aachen, Germany: Schloss Dagstuhl - Leibniz-Zentrum für Informatik. https://doi.org/10.4230/LIPICS.MFCS.2019.11' chicago: Avni, Guy, Thomas A Henzinger, and Dorde Zikelic. “Bidding Mechanisms in Graph Games,” Vol. 138. Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2019. https://doi.org/10.4230/LIPICS.MFCS.2019.11. ieee: 'G. Avni, T. A. Henzinger, and D. Zikelic, “Bidding mechanisms in graph games,” presented at the MFCS: nternational Symposium on Mathematical Foundations of Computer Science, Aachen, Germany, 2019, vol. 138.' ista: 'Avni G, Henzinger TA, Zikelic D. 2019. Bidding mechanisms in graph games. MFCS: nternational Symposium on Mathematical Foundations of Computer Science, LIPIcs, vol. 138, 11.' mla: Avni, Guy, et al. Bidding Mechanisms in Graph Games. Vol. 138, 11, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2019, doi:10.4230/LIPICS.MFCS.2019.11. short: G. Avni, T.A. Henzinger, D. Zikelic, in:, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2019. conference: end_date: 2019-08-30 location: Aachen, Germany name: 'MFCS: nternational Symposium on Mathematical Foundations of Computer Science' start_date: 2019-08-26 date_created: 2019-09-18T08:04:26Z date_published: 2019-08-01T00:00:00Z date_updated: 2023-08-07T14:08:34Z day: '01' ddc: - '004' department: - _id: ToHe - _id: KrCh doi: 10.4230/LIPICS.MFCS.2019.11 ec_funded: 1 external_id: arxiv: - '1905.03835' file: - access_level: open_access checksum: 6346e116a4f4ed1414174d96d2c4fbd7 content_type: application/pdf creator: kschuh date_created: 2019-09-27T11:45:15Z date_updated: 2020-07-14T12:47:42Z file_id: '6913' file_name: 2019_LIPIcs_Avni.pdf file_size: 554457 relation: main_file file_date_updated: 2020-07-14T12:47:42Z has_accepted_license: '1' intvolume: ' 138' language: - iso: eng month: '08' oa: 1 oa_version: Published Version project: - _id: 2564DBCA-B435-11E9-9278-68D0E5697425 call_identifier: H2020 grant_number: '665385' name: International IST Doctoral Program - _id: 264B3912-B435-11E9-9278-68D0E5697425 call_identifier: FWF grant_number: M02369 name: Formal Methods meets Algorithmic Game Theory - _id: 25F42A32-B435-11E9-9278-68D0E5697425 call_identifier: FWF grant_number: Z211 name: The Wittgenstein Prize - _id: 25F2ACDE-B435-11E9-9278-68D0E5697425 call_identifier: FWF grant_number: S11402-N23 name: Rigorous Systems Engineering publication_status: published publisher: Schloss Dagstuhl - Leibniz-Zentrum für Informatik quality_controlled: '1' related_material: record: - id: '9239' relation: later_version status: public scopus_import: 1 status: public title: Bidding mechanisms in graph games tmp: image: /images/cc_by.png legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0) short: CC BY (4.0) type: conference user_id: 3E5EF7F0-F248-11E8-B48F-1D18A9856A87 volume: 138 year: '2019' ... --- _id: '5948' abstract: - lang: eng text: We study the termination problem for nondeterministic probabilistic programs. We consider the bounded termination problem that asks whether the supremum of the expected termination time over all schedulers is bounded. First, we show that ranking supermartingales (RSMs) are both sound and complete for proving bounded termination over nondeterministic probabilistic programs. For nondeterministic probabilistic programs a previous result claimed that RSMs are not complete for bounded termination, whereas our result corrects the previous flaw and establishes completeness with a rigorous proof. Second, we present the first sound approach to establish lower bounds on expected termination time through RSMs. alternative_title: - LNCS article_processing_charge: No author: - first_name: Hongfei full_name: Fu, Hongfei last_name: Fu - first_name: Krishnendu full_name: Chatterjee, Krishnendu id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87 last_name: Chatterjee orcid: 0000-0002-4561-241X citation: ama: 'Fu H, Chatterjee K. Termination of nondeterministic probabilistic programs. In: International Conference on Verification, Model Checking, and Abstract Interpretation. Vol 11388. Springer Nature; 2019:468-490. doi:10.1007/978-3-030-11245-5_22' apa: 'Fu, H., & Chatterjee, K. (2019). Termination of nondeterministic probabilistic programs. In International Conference on Verification, Model Checking, and Abstract Interpretation (Vol. 11388, pp. 468–490). Cascais, Portugal: Springer Nature. https://doi.org/10.1007/978-3-030-11245-5_22' chicago: Fu, Hongfei, and Krishnendu Chatterjee. “Termination of Nondeterministic Probabilistic Programs.” In International Conference on Verification, Model Checking, and Abstract Interpretation, 11388:468–90. Springer Nature, 2019. https://doi.org/10.1007/978-3-030-11245-5_22. ieee: H. Fu and K. Chatterjee, “Termination of nondeterministic probabilistic programs,” in International Conference on Verification, Model Checking, and Abstract Interpretation, Cascais, Portugal, 2019, vol. 11388, pp. 468–490. ista: 'Fu H, Chatterjee K. 2019. Termination of nondeterministic probabilistic programs. International Conference on Verification, Model Checking, and Abstract Interpretation. VMCAI: Verification, Model Checking, and Abstract Interpretation, LNCS, vol. 11388, 468–490.' mla: Fu, Hongfei, and Krishnendu Chatterjee. “Termination of Nondeterministic Probabilistic Programs.” International Conference on Verification, Model Checking, and Abstract Interpretation, vol. 11388, Springer Nature, 2019, pp. 468–90, doi:10.1007/978-3-030-11245-5_22. short: H. Fu, K. Chatterjee, in:, International Conference on Verification, Model Checking, and Abstract Interpretation, Springer Nature, 2019, pp. 468–490. conference: end_date: 2019-01-15 location: Cascais, Portugal name: 'VMCAI: Verification, Model Checking, and Abstract Interpretation' start_date: 2019-01-13 date_created: 2019-02-10T22:59:17Z date_published: 2019-01-11T00:00:00Z date_updated: 2023-08-24T14:42:22Z day: '11' department: - _id: KrCh doi: 10.1007/978-3-030-11245-5_22 external_id: arxiv: - '1701.02944' isi: - '000931943000022' intvolume: ' 11388' isi: 1 language: - iso: eng main_file_link: - url: https://arxiv.org/abs/1701.02944 month: '01' oa_version: Preprint page: 468-490 project: - _id: 25892FC0-B435-11E9-9278-68D0E5697425 grant_number: ICT15-003 name: Efficient Algorithms for Computer Aided Verification - _id: 25832EC2-B435-11E9-9278-68D0E5697425 call_identifier: FWF grant_number: S 11407_N23 name: Rigorous Systems Engineering publication: International Conference on Verification, Model Checking, and Abstract Interpretation publication_status: published publisher: Springer Nature quality_controlled: '1' scopus_import: '1' status: public title: Termination of nondeterministic probabilistic programs type: conference user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8 volume: 11388 year: '2019' ...