--- _id: '2211' abstract: - lang: eng text: 'In two-player finite-state stochastic games of partial observation on graphs, in every state of the graph, the players simultaneously choose an action, and their joint actions determine a probability distribution over the successor states. The game is played for infinitely many rounds and thus the players construct an infinite path in the graph. We consider reachability objectives where the first player tries to ensure a target state to be visited almost-surely (i.e., with probability 1) or positively (i.e., with positive probability), no matter the strategy of the second player. We classify such games according to the information and to the power of randomization available to the players. On the basis of information, the game can be one-sided with either (a) player 1, or (b) player 2 having partial observation (and the other player has perfect observation), or two-sided with (c) both players having partial observation. On the basis of randomization, (a) the players may not be allowed to use randomization (pure strategies), or (b) they may choose a probability distribution over actions but the actual random choice is external and not visible to the player (actions invisible), or (c) they may use full randomization. Our main results for pure strategies are as follows: (1) For one-sided games with player 2 having perfect observation we show that (in contrast to full randomized strategies) belief-based (subset-construction based) strategies are not sufficient, and we present an exponential upper bound on memory both for almost-sure and positive winning strategies; we show that the problem of deciding the existence of almost-sure and positive winning strategies for player 1 is EXPTIME-complete and present symbolic algorithms that avoid the explicit exponential construction. (2) For one-sided games with player 1 having perfect observation we show that nonelementarymemory is both necessary and sufficient for both almost-sure and positive winning strategies. (3) We show that for the general (two-sided) case finite-memory strategies are sufficient for both positive and almost-sure winning, and at least nonelementary memory is required. We establish the equivalence of the almost-sure winning problems for pure strategies and for randomized strategies with actions invisible. Our equivalence result exhibit serious flaws in previous results of the literature: we show a nonelementary memory lower bound for almost-sure winning whereas an exponential upper bound was previously claimed.' article_number: '16' 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. Partial-observation stochastic games: How to win when belief fails. ACM Transactions on Computational Logic (TOCL). 2014;15(2). doi:10.1145/2579821' apa: 'Chatterjee, K., & Doyen, L. (2014). Partial-observation stochastic games: How to win when belief fails. ACM Transactions on Computational Logic (TOCL). ACM. https://doi.org/10.1145/2579821' chicago: 'Chatterjee, Krishnendu, and Laurent Doyen. “Partial-Observation Stochastic Games: How to Win When Belief Fails.” ACM Transactions on Computational Logic (TOCL). ACM, 2014. https://doi.org/10.1145/2579821.' ieee: 'K. Chatterjee and L. Doyen, “Partial-observation stochastic games: How to win when belief fails,” ACM Transactions on Computational Logic (TOCL), vol. 15, no. 2. ACM, 2014.' ista: 'Chatterjee K, Doyen L. 2014. Partial-observation stochastic games: How to win when belief fails. ACM Transactions on Computational Logic (TOCL). 15(2), 16.' mla: 'Chatterjee, Krishnendu, and Laurent Doyen. “Partial-Observation Stochastic Games: How to Win When Belief Fails.” ACM Transactions on Computational Logic (TOCL), vol. 15, no. 2, 16, ACM, 2014, doi:10.1145/2579821.' short: K. Chatterjee, L. Doyen, ACM Transactions on Computational Logic (TOCL) 15 (2014). date_created: 2018-12-11T11:56:21Z date_published: 2014-04-01T00:00:00Z date_updated: 2023-02-23T12:23:43Z day: '01' department: - _id: KrCh doi: 10.1145/2579821 external_id: arxiv: - '1107.2141' intvolume: ' 15' issue: '2' language: - iso: eng main_file_link: - open_access: '1' url: http://arxiv.org/abs/1107.2141 month: '04' oa: 1 oa_version: Preprint publication: ACM Transactions on Computational Logic (TOCL) publication_status: published publisher: ACM publist_id: '4759' quality_controlled: '1' related_material: record: - id: '1903' relation: earlier_version status: public - id: '2955' relation: earlier_version status: public - id: '5381' relation: earlier_version status: public scopus_import: 1 status: public title: 'Partial-observation stochastic games: How to win when belief fails' type: journal_article user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87 volume: 15 year: '2014' ... --- _id: '2038' abstract: - lang: eng text: Recently, there has been an effort to add quantitative objectives to formal verification and synthesis. We introduce and investigate the extension of temporal logics with quantitative atomic assertions. At the heart of quantitative objectives lies the accumulation of values along a computation. It is often the accumulated sum, as with energy objectives, or the accumulated average, as with mean-payoff objectives. We investigate the extension of temporal logics with the prefix-accumulation assertions Sum(v) ≥ c and Avg(v) ≥ c, where v is a numeric (or Boolean) variable of the system, c is a constant rational number, and Sum(v) and Avg(v) denote the accumulated sum and average of the values of v from the beginning of the computation up to the current point in time. We also allow the path-accumulation assertions LimInfAvg(v) ≥ c and LimSupAvg(v) ≥ c, referring to the average value along an entire infinite computation. We study the border of decidability for such quantitative extensions of various temporal logics. In particular, we show that extending the fragment of CTL that has only the EX, EF, AX, and AG temporal modalities with both prefix-accumulation assertions, or extending LTL with both path-accumulation assertions, results in temporal logics whose model-checking problem is decidable. Moreover, the prefix-accumulation assertions may be generalized with "controlled accumulation," allowing, for example, to specify constraints on the average waiting time between a request and a grant. On the negative side, we show that this branching-time logic is, in a sense, the maximal logic with one or both of the prefix-accumulation assertions that permits a decidable model-checking procedure. Extending a temporal logic that has the EG or EU modalities, such as CTL or LTL, makes the problem undecidable. acknowledgement: The research was supported in part by ERC Starting grant 278410 (QUALITY). article_number: '27' article_processing_charge: No article_type: original author: - first_name: Udi full_name: Boker, Udi id: 31E297B6-F248-11E8-B48F-1D18A9856A87 last_name: Boker - 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: Orna full_name: Kupferman, Orna last_name: Kupferman citation: ama: Boker U, Chatterjee K, Henzinger TA, Kupferman O. Temporal specifications with accumulative values. ACM Transactions on Computational Logic (TOCL). 2014;15(4). doi:10.1145/2629686 apa: Boker, U., Chatterjee, K., Henzinger, T. A., & Kupferman, O. (2014). Temporal specifications with accumulative values. ACM Transactions on Computational Logic (TOCL). ACM. https://doi.org/10.1145/2629686 chicago: Boker, Udi, Krishnendu Chatterjee, Thomas A Henzinger, and Orna Kupferman. “Temporal Specifications with Accumulative Values.” ACM Transactions on Computational Logic (TOCL). ACM, 2014. https://doi.org/10.1145/2629686. ieee: U. Boker, K. Chatterjee, T. A. Henzinger, and O. Kupferman, “Temporal specifications with accumulative values,” ACM Transactions on Computational Logic (TOCL), vol. 15, no. 4. ACM, 2014. ista: Boker U, Chatterjee K, Henzinger TA, Kupferman O. 2014. Temporal specifications with accumulative values. ACM Transactions on Computational Logic (TOCL). 15(4), 27. mla: Boker, Udi, et al. “Temporal Specifications with Accumulative Values.” ACM Transactions on Computational Logic (TOCL), vol. 15, no. 4, 27, ACM, 2014, doi:10.1145/2629686. short: U. Boker, K. Chatterjee, T.A. Henzinger, O. Kupferman, ACM Transactions on Computational Logic (TOCL) 15 (2014). date_created: 2018-12-11T11:55:21Z date_published: 2014-09-16T00:00:00Z date_updated: 2023-02-23T12:23:54Z day: '16' ddc: - '000' - '004' department: - _id: ToHe - _id: KrCh doi: 10.1145/2629686 ec_funded: 1 file: - access_level: open_access checksum: 354c41d37500b56320afce94cf9a99c2 content_type: application/pdf creator: system date_created: 2018-12-12T10:10:59Z date_updated: 2020-07-14T12:45:26Z file_id: '4851' file_name: IST-2014-192-v1+1_AccumulativeValues.pdf file_size: 346184 relation: main_file file_date_updated: 2020-07-14T12:45:26Z has_accepted_license: '1' intvolume: ' 15' issue: '4' language: - iso: eng month: '09' oa: 1 oa_version: Submitted Version project: - _id: 2584A770-B435-11E9-9278-68D0E5697425 call_identifier: FWF grant_number: P 23499-N23 name: Modern Graph Algorithmic Techniques in Formal Verification - _id: 25F5A88A-B435-11E9-9278-68D0E5697425 call_identifier: FWF grant_number: S11402-N23 name: Moderne Concurrency Paradigms - _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' - _id: 25EE3708-B435-11E9-9278-68D0E5697425 call_identifier: FP7 grant_number: '267989' name: Quantitative Reactive Modeling - _id: 2587B514-B435-11E9-9278-68D0E5697425 name: Microsoft Research Faculty Fellowship publication: ACM Transactions on Computational Logic (TOCL) publication_status: published publisher: ACM publist_id: '5013' pubrep_id: '192' quality_controlled: '1' related_material: record: - id: '3356' relation: earlier_version status: public - id: '5385' relation: earlier_version status: public scopus_import: 1 status: public title: Temporal specifications with accumulative values type: journal_article user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87 volume: 15 year: '2014' ... --- _id: '2162' abstract: - lang: eng text: 'We study two-player (zero-sum) concurrent mean-payoff games played on a finite-state graph. We focus on the important sub-class of ergodic games where all states are visited infinitely often with probability 1. The algorithmic study of ergodic games was initiated in a seminal work of Hoffman and Karp in 1966, but all basic complexity questions have remained unresolved. Our main results for ergodic games are as follows: We establish (1) an optimal exponential bound on the patience of stationary strategies (where patience of a distribution is the inverse of the smallest positive probability and represents a complexity measure of a stationary strategy); (2) the approximation problem lies in FNP; (3) the approximation problem is at least as hard as the decision problem for simple stochastic games (for which NP ∩ coNP is the long-standing best known bound). We present a variant of the strategy-iteration algorithm by Hoffman and Karp; show that both our algorithm and the classical value-iteration algorithm can approximate the value in exponential time; and identify a subclass where the value-iteration algorithm is a FPTAS. We also show that the exact value can be expressed in the existential theory of the reals, and establish square-root sum hardness for a related class of games.' alternative_title: - LNCS 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 citation: ama: 'Chatterjee K, Ibsen-Jensen R. The complexity of ergodic mean payoff games. In: Vol 8573. Springer; 2014:122-133. doi:10.1007/978-3-662-43951-7_11' apa: 'Chatterjee, K., & Ibsen-Jensen, R. (2014). The complexity of ergodic mean payoff games (Vol. 8573, pp. 122–133). Presented at the ICST: International Conference on Software Testing, Verification and Validation, Copenhagen, Denmark: Springer. https://doi.org/10.1007/978-3-662-43951-7_11' chicago: Chatterjee, Krishnendu, and Rasmus Ibsen-Jensen. “The Complexity of Ergodic Mean Payoff Games,” 8573:122–33. Springer, 2014. https://doi.org/10.1007/978-3-662-43951-7_11. ieee: 'K. Chatterjee and R. Ibsen-Jensen, “The complexity of ergodic mean payoff games,” presented at the ICST: International Conference on Software Testing, Verification and Validation, Copenhagen, Denmark, 2014, vol. 8573, no. Part 2, pp. 122–133.' ista: 'Chatterjee K, Ibsen-Jensen R. 2014. The complexity of ergodic mean payoff games. ICST: International Conference on Software Testing, Verification and Validation, LNCS, vol. 8573, 122–133.' mla: Chatterjee, Krishnendu, and Rasmus Ibsen-Jensen. The Complexity of Ergodic Mean Payoff Games. Vol. 8573, no. Part 2, Springer, 2014, pp. 122–33, doi:10.1007/978-3-662-43951-7_11. short: K. Chatterjee, R. Ibsen-Jensen, in:, Springer, 2014, pp. 122–133. conference: end_date: 2014-07-11 location: Copenhagen, Denmark name: 'ICST: International Conference on Software Testing, Verification and Validation' start_date: 2014-07-08 date_created: 2018-12-11T11:56:04Z date_published: 2014-01-01T00:00:00Z date_updated: 2023-02-23T12:24:48Z day: '01' department: - _id: KrCh doi: 10.1007/978-3-662-43951-7_11 ec_funded: 1 external_id: arxiv: - '1404.5734' intvolume: ' 8573' issue: Part 2 language: - iso: eng main_file_link: - open_access: '1' url: http://arxiv.org/abs/1404.5734 month: '01' oa: 1 oa_version: Preprint page: 122 - 133 project: - _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 - _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_status: published publisher: Springer publist_id: '4822' quality_controlled: '1' related_material: record: - id: '5404' relation: earlier_version status: public status: public title: The complexity of ergodic mean payoff games type: conference user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87 volume: 8573 year: '2014' ... --- _id: '2213' abstract: - lang: eng text: We consider two-player partial-observation stochastic games on finitestate graphs where player 1 has partial observation and player 2 has perfect observation. The winning condition we study are ε-regular conditions specified as parity objectives. The qualitative-analysis problem given a partial-observation stochastic game and a parity objective asks whether there is a strategy to ensure that the objective is satisfied with probability 1 (resp. positive probability). These qualitative-analysis problems are known to be undecidable. However in many applications the relevant question is the existence of finite-memory strategies, and the qualitative-analysis problems under finite-memory strategies was recently shown to be decidable in 2EXPTIME.We improve the complexity and show that the qualitative-analysis problems for partial-observation stochastic parity games under finite-memory strategies are EXPTIME-complete; and also establish optimal (exponential) memory bounds for finite-memory strategies required for qualitative analysis. acknowledgement: 'This research was supported by European project Cassting (FP7-601148), NSF grants CNS 1049862 and CCF-1139011, by NSF Expe ditions in Computing project “ExCAPE: Expeditions in Computer Augmented Program Engineering”, by BSF grant 9800096, and by gift from Intel.' alternative_title: - LNCS 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 - first_name: Sumit full_name: Nain, Sumit last_name: Nain - first_name: Moshe full_name: Vardi, Moshe last_name: Vardi citation: ama: 'Chatterjee K, Doyen L, Nain S, Vardi M. The complexity of partial-observation stochastic parity games with finite-memory strategies. In: Vol 8412. Springer; 2014:242-257. doi:10.1007/978-3-642-54830-7_16' apa: 'Chatterjee, K., Doyen, L., Nain, S., & Vardi, M. (2014). The complexity of partial-observation stochastic parity games with finite-memory strategies (Vol. 8412, pp. 242–257). Presented at the FoSSaCS: Foundations of Software Science and Computation Structures, Grenoble, France: Springer. https://doi.org/10.1007/978-3-642-54830-7_16' chicago: Chatterjee, Krishnendu, Laurent Doyen, Sumit Nain, and Moshe Vardi. “The Complexity of Partial-Observation Stochastic Parity Games with Finite-Memory Strategies,” 8412:242–57. Springer, 2014. https://doi.org/10.1007/978-3-642-54830-7_16. ieee: 'K. Chatterjee, L. Doyen, S. Nain, and M. Vardi, “The complexity of partial-observation stochastic parity games with finite-memory strategies,” presented at the FoSSaCS: Foundations of Software Science and Computation Structures, Grenoble, France, 2014, vol. 8412, pp. 242–257.' ista: 'Chatterjee K, Doyen L, Nain S, Vardi M. 2014. The complexity of partial-observation stochastic parity games with finite-memory strategies. FoSSaCS: Foundations of Software Science and Computation Structures, LNCS, vol. 8412, 242–257.' mla: Chatterjee, Krishnendu, et al. The Complexity of Partial-Observation Stochastic Parity Games with Finite-Memory Strategies. Vol. 8412, Springer, 2014, pp. 242–57, doi:10.1007/978-3-642-54830-7_16. short: K. Chatterjee, L. Doyen, S. Nain, M. Vardi, in:, Springer, 2014, pp. 242–257. conference: end_date: 2014-04-13 location: Grenoble, France name: 'FoSSaCS: Foundations of Software Science and Computation Structures' start_date: 2014-04-05 date_created: 2018-12-11T11:56:21Z date_published: 2014-04-01T00:00:00Z date_updated: 2023-02-23T12:24:58Z day: '01' department: - _id: KrCh doi: 10.1007/978-3-642-54830-7_16 ec_funded: 1 external_id: arxiv: - '1401.3289' intvolume: ' 8412' language: - iso: eng main_file_link: - open_access: '1' url: http://arxiv.org/abs/1401.3289 month: '04' oa: 1 oa_version: Preprint page: 242 - 257 project: - _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 - _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_status: published publisher: Springer publist_id: '4757' quality_controlled: '1' related_material: record: - id: '5408' relation: earlier_version status: public scopus_import: 1 status: public title: The complexity of partial-observation stochastic parity games with finite-memory strategies type: conference user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87 volume: 8412 year: '2014' ... --- _id: '2212' abstract: - lang: eng text: 'The theory of graph games is the foundation for modeling and synthesizing reactive processes. In the synthesis of stochastic processes, we use 2 1/2-player games where some transitions of the game graph are controlled by two adversarial players, the System and the Environment, and the other transitions are determined probabilistically. We consider 2 1/2-player games where the objective of the System is the conjunction of a qualitative objective (specified as a parity condition) and a quantitative objective (specified as a mean-payoff condition). We establish that the problem of deciding whether the System can ensure that the probability to satisfy the mean-payoff parity objective is at least a given threshold is in NP ∩ coNP, matching the best known bound in the special case of 2-player games (where all transitions are deterministic). We present an algorithm running in time O(d·n2d·MeanGame) to compute the set of almost-sure winning states from which the objective can be ensured with probability 1, where n is the number of states of the game, d the number of priorities of the parity objective, and MeanGame is the complexity to compute the set of almost-sure winning states in 2 1/2-player mean-payoff games. Our results are useful in the synthesis of stochastic reactive systems with both functional requirement (given as a qualitative objective) and performance requirement (given as a quantitative objective). ' acknowledgement: "This research was supported by European project Cassting (FP7-601148).\r\nA Technical Report of this paper is available at: \r\nhttps://repository.ist.ac.at/id/eprint/128." alternative_title: - LNCS 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 - first_name: Hugo full_name: Gimbert, Hugo last_name: Gimbert - first_name: Youssouf full_name: Oualhadj, Youssouf last_name: Oualhadj citation: ama: 'Chatterjee K, Doyen L, Gimbert H, Oualhadj Y. Perfect-information stochastic mean-payoff parity games. In: Vol 8412. Springer; 2014:210-225. doi:10.1007/978-3-642-54830-7_14' apa: 'Chatterjee, K., Doyen, L., Gimbert, H., & Oualhadj, Y. (2014). Perfect-information stochastic mean-payoff parity games (Vol. 8412, pp. 210–225). Presented at the FoSSaCS: Foundations of Software Science and Computation Structures, Grenoble, France: Springer. https://doi.org/10.1007/978-3-642-54830-7_14' chicago: Chatterjee, Krishnendu, Laurent Doyen, Hugo Gimbert, and Youssouf Oualhadj. “Perfect-Information Stochastic Mean-Payoff Parity Games,” 8412:210–25. Springer, 2014. https://doi.org/10.1007/978-3-642-54830-7_14. ieee: 'K. Chatterjee, L. Doyen, H. Gimbert, and Y. Oualhadj, “Perfect-information stochastic mean-payoff parity games,” presented at the FoSSaCS: Foundations of Software Science and Computation Structures, Grenoble, France, 2014, vol. 8412, pp. 210–225.' ista: 'Chatterjee K, Doyen L, Gimbert H, Oualhadj Y. 2014. Perfect-information stochastic mean-payoff parity games. FoSSaCS: Foundations of Software Science and Computation Structures, LNCS, vol. 8412, 210–225.' mla: Chatterjee, Krishnendu, et al. Perfect-Information Stochastic Mean-Payoff Parity Games. Vol. 8412, Springer, 2014, pp. 210–25, doi:10.1007/978-3-642-54830-7_14. short: K. Chatterjee, L. Doyen, H. Gimbert, Y. Oualhadj, in:, Springer, 2014, pp. 210–225. conference: end_date: 2014-04-13 location: Grenoble, France name: 'FoSSaCS: Foundations of Software Science and Computation Structures' start_date: 2014-04-05 date_created: 2018-12-11T11:56:21Z date_published: 2014-04-01T00:00:00Z date_updated: 2023-02-23T12:24:50Z day: '01' department: - _id: KrCh doi: 10.1007/978-3-642-54830-7_14 ec_funded: 1 intvolume: ' 8412' language: - iso: eng month: '04' oa_version: None page: 210 - 225 project: - _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 - _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_status: published publisher: Springer publist_id: '4758' quality_controlled: '1' related_material: record: - id: '5405' relation: earlier_version status: public scopus_import: 1 status: public title: Perfect-information stochastic mean-payoff parity games type: conference user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87 volume: 8412 year: '2014' ... --- _id: '2216' abstract: - lang: eng text: The edit distance between two (untimed) traces is the minimum cost of a sequence of edit operations (insertion, deletion, or substitution) needed to transform one trace to the other. Edit distances have been extensively studied in the untimed setting, and form the basis for approximate matching of sequences in different domains such as coding theory, parsing, and speech recognition. In this paper, we lift the study of edit distances from untimed languages to the timed setting. We define an edit distance between timed words which incorporates both the edit distance between the untimed words and the absolute difference in time stamps. Our edit distance between two timed words is computable in polynomial time. Further, we show that the edit distance between a timed word and a timed language generated by a timed automaton, defined as the edit distance between the word and the closest word in the language, is PSPACE-complete. While computing the edit distance between two timed automata is undecidable, we show that the approximate version, where we decide if the edit distance between two timed automata is either less than a given parameter or more than δ away from the parameter, for δ > 0, can be solved in exponential space and is EXPSPACE-hard. Our definitions and techniques can be generalized to the setting of hybrid systems, and analogous decidability results hold for rectangular automata. 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: Ritankar full_name: Majumdar, Ritankar last_name: Majumdar citation: ama: 'Chatterjee K, Ibsen-Jensen R, Majumdar R. Edit distance for timed automata. In: Springer; 2014:303-312. doi:10.1145/2562059.2562141' apa: 'Chatterjee, K., Ibsen-Jensen, R., & Majumdar, R. (2014). Edit distance for timed automata (pp. 303–312). Presented at the HSCC: Hybrid Systems - Computation and Control, Berlin, Germany: Springer. https://doi.org/10.1145/2562059.2562141' chicago: Chatterjee, Krishnendu, Rasmus Ibsen-Jensen, and Ritankar Majumdar. “Edit Distance for Timed Automata,” 303–12. Springer, 2014. https://doi.org/10.1145/2562059.2562141. ieee: 'K. Chatterjee, R. Ibsen-Jensen, and R. Majumdar, “Edit distance for timed automata,” presented at the HSCC: Hybrid Systems - Computation and Control, Berlin, Germany, 2014, pp. 303–312.' ista: 'Chatterjee K, Ibsen-Jensen R, Majumdar R. 2014. Edit distance for timed automata. HSCC: Hybrid Systems - Computation and Control, 303–312.' mla: Chatterjee, Krishnendu, et al. Edit Distance for Timed Automata. Springer, 2014, pp. 303–12, doi:10.1145/2562059.2562141. short: K. Chatterjee, R. Ibsen-Jensen, R. Majumdar, in:, Springer, 2014, pp. 303–312. conference: end_date: 2017-04-17 location: Berlin, Germany name: 'HSCC: Hybrid Systems - Computation and Control' start_date: 2017-04-15 date_created: 2018-12-11T11:56:22Z date_published: 2014-01-01T00:00:00Z date_updated: 2023-02-23T12:25:01Z day: '01' department: - _id: KrCh doi: 10.1145/2562059.2562141 language: - iso: eng main_file_link: - open_access: '1' url: https://dl.acm.org/citation.cfm?doid=2562059.2562141 month: '01' oa: 1 oa_version: Submitted Version page: 303 - 312 publication_status: published publisher: Springer publist_id: '4752' quality_controlled: '1' related_material: record: - id: '5409' relation: earlier_version status: public status: public title: Edit distance for timed automata type: conference user_id: 4435EBFC-F248-11E8-B48F-1D18A9856A87 year: '2014' ... --- _id: '5413' abstract: - lang: eng text: "We consider Markov decision processes (MDPs) which are a standard model for probabilistic systems. We focus on qualitative properties for MDPs that can express that desired behaviors of the system arise almost-surely (with probability 1) or with positive probability.\r\nWe introduce a new simulation relation to capture the refinement relation of MDPs with respect to qualitative properties, and present discrete graph theoretic algorithms with quadratic complexity to compute the simulation relation.\r\nWe present an automated technique for assume-guarantee style reasoning for compositional analysis of MDPs with qualitative properties by giving a counter-example guided abstraction-refinement approach to compute our new simulation relation. We have implemented our algorithms and show that the compositional analysis leads to significant improvements. " alternative_title: - IST Austria Technical Report author: - first_name: Krishnendu full_name: Chatterjee, Krishnendu id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87 last_name: Chatterjee orcid: 0000-0002-4561-241X - first_name: Przemyslaw full_name: Daca, Przemyslaw id: 49351290-F248-11E8-B48F-1D18A9856A87 last_name: Daca - first_name: Martin full_name: Chmelik, Martin id: 3624234E-F248-11E8-B48F-1D18A9856A87 last_name: Chmelik citation: ama: Chatterjee K, Daca P, Chmelik M. CEGAR for Qualitative Analysis of Probabilistic Systems. IST Austria; 2014. doi:10.15479/AT:IST-2014-153-v2-2 apa: Chatterjee, K., Daca, P., & Chmelik, M. (2014). CEGAR for qualitative analysis of probabilistic systems. IST Austria. https://doi.org/10.15479/AT:IST-2014-153-v2-2 chicago: Chatterjee, Krishnendu, Przemyslaw Daca, and Martin Chmelik. CEGAR for Qualitative Analysis of Probabilistic Systems. IST Austria, 2014. https://doi.org/10.15479/AT:IST-2014-153-v2-2. ieee: K. Chatterjee, P. Daca, and M. Chmelik, CEGAR for qualitative analysis of probabilistic systems. IST Austria, 2014. ista: Chatterjee K, Daca P, Chmelik M. 2014. CEGAR for qualitative analysis of probabilistic systems, IST Austria, 33p. mla: Chatterjee, Krishnendu, et al. CEGAR for Qualitative Analysis of Probabilistic Systems. IST Austria, 2014, doi:10.15479/AT:IST-2014-153-v2-2. short: K. Chatterjee, P. Daca, M. Chmelik, CEGAR for Qualitative Analysis of Probabilistic Systems, IST Austria, 2014. date_created: 2018-12-12T11:39:11Z date_published: 2014-02-06T00:00:00Z date_updated: 2023-02-23T12:25:18Z day: '06' ddc: - '000' department: - _id: KrCh doi: 10.15479/AT:IST-2014-153-v2-2 file: - access_level: open_access checksum: ce4967a184d84863eec76c66cbac1614 content_type: application/pdf creator: system date_created: 2018-12-12T11:54:17Z date_updated: 2020-07-14T12:46:47Z file_id: '5539' file_name: IST-2014-153-v2+2_main.pdf file_size: 606049 relation: main_file file_date_updated: 2020-07-14T12:46:47Z has_accepted_license: '1' language: - iso: eng month: '02' oa: 1 oa_version: Published Version page: '33' publication_identifier: issn: - 2664-1690 publication_status: published publisher: IST Austria pubrep_id: '164' related_material: record: - id: '2063' relation: later_version status: public - id: '5412' relation: earlier_version status: public - id: '5414' relation: later_version status: public status: public title: CEGAR for qualitative analysis of probabilistic systems type: technical_report user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87 year: '2014' ... --- _id: '5414' abstract: - lang: eng text: "We consider Markov decision processes (MDPs) which are a standard model for probabilistic systems. We focus on qualitative properties for MDPs that can express that desired behaviors of the system arise almost-surely (with probability 1) or with positive probability.\r\nWe introduce a new simulation relation to capture the refinement relation of MDPs with respect to qualitative properties, and present discrete graph theoretic algorithms with quadratic complexity to compute the simulation relation.\r\nWe present an automated technique for assume-guarantee style reasoning for compositional analysis of MDPs with qualitative properties by giving a counter-example guided abstraction-refinement approach to compute our new simulation relation. \r\nWe have implemented our algorithms and show that the compositional analysis leads to significant improvements. " alternative_title: - IST Austria Technical Report author: - first_name: Krishnendu full_name: Chatterjee, Krishnendu id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87 last_name: Chatterjee orcid: 0000-0002-4561-241X - first_name: Przemyslaw full_name: Daca, Przemyslaw id: 49351290-F248-11E8-B48F-1D18A9856A87 last_name: Daca - first_name: Martin full_name: Chmelik, Martin id: 3624234E-F248-11E8-B48F-1D18A9856A87 last_name: Chmelik citation: ama: Chatterjee K, Daca P, Chmelik M. CEGAR for Qualitative Analysis of Probabilistic Systems. IST Austria; 2014. doi:10.15479/AT:IST-2014-153-v3-1 apa: Chatterjee, K., Daca, P., & Chmelik, M. (2014). CEGAR for qualitative analysis of probabilistic systems. IST Austria. https://doi.org/10.15479/AT:IST-2014-153-v3-1 chicago: Chatterjee, Krishnendu, Przemyslaw Daca, and Martin Chmelik. CEGAR for Qualitative Analysis of Probabilistic Systems. IST Austria, 2014. https://doi.org/10.15479/AT:IST-2014-153-v3-1. ieee: K. Chatterjee, P. Daca, and M. Chmelik, CEGAR for qualitative analysis of probabilistic systems. IST Austria, 2014. ista: Chatterjee K, Daca P, Chmelik M. 2014. CEGAR for qualitative analysis of probabilistic systems, IST Austria, 33p. mla: Chatterjee, Krishnendu, et al. CEGAR for Qualitative Analysis of Probabilistic Systems. IST Austria, 2014, doi:10.15479/AT:IST-2014-153-v3-1. short: K. Chatterjee, P. Daca, M. Chmelik, CEGAR for Qualitative Analysis of Probabilistic Systems, IST Austria, 2014. date_created: 2018-12-12T11:39:12Z date_published: 2014-02-07T00:00:00Z date_updated: 2023-02-23T12:25:15Z day: '07' ddc: - '000' department: - _id: KrCh doi: 10.15479/AT:IST-2014-153-v3-1 file: - access_level: open_access checksum: 87b93fe9af71fc5c94b0eb6151537e11 content_type: application/pdf creator: system date_created: 2018-12-12T11:53:03Z date_updated: 2020-07-14T12:46:48Z file_id: '5464' file_name: IST-2014-153-v3+1_main.pdf file_size: 606227 relation: main_file file_date_updated: 2020-07-14T12:46:48Z has_accepted_license: '1' language: - iso: eng month: '02' oa: 1 oa_version: Published Version page: '33' publication_identifier: issn: - 2664-1690 publication_status: published publisher: IST Austria pubrep_id: '165' related_material: record: - id: '2063' relation: later_version status: public - id: '5412' relation: earlier_version status: public - id: '5413' relation: earlier_version status: public status: public title: CEGAR for qualitative analysis of probabilistic systems type: technical_report user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87 year: '2014' ... --- _id: '5412' abstract: - lang: eng text: "We consider Markov decision processes (MDPs) which are a standard model for probabilistic systems. We focus on qualitative properties for MDPs that can express that desired behaviors of the system arise almost-surely (with probability 1) or with positive probability.\r\nWe introduce a new simulation relation to capture the refinement relation of MDPs with respect to qualitative properties, and present discrete graph theoretic algorithms with quadratic complexity to compute the simulation relation.\r\nWe present an automated technique for assume-guarantee style reasoning for compositional analysis of MDPs with qualitative properties by giving a counter-example guided abstraction-refinement approach to compute our new simulation relation. We have implemented our algorithms and show that the compositional analysis leads to significant improvements. " alternative_title: - IST Austria Technical Report author: - first_name: Krishnendu full_name: Chatterjee, Krishnendu id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87 last_name: Chatterjee orcid: 0000-0002-4561-241X - first_name: Przemyslaw full_name: Daca, Przemyslaw id: 49351290-F248-11E8-B48F-1D18A9856A87 last_name: Daca - first_name: Martin full_name: Chmelik, Martin id: 3624234E-F248-11E8-B48F-1D18A9856A87 last_name: Chmelik citation: ama: Chatterjee K, Daca P, Chmelik M. CEGAR for Qualitative Analysis of Probabilistic Systems. IST Austria; 2014. doi:10.15479/AT:IST-2014-153-v1-1 apa: Chatterjee, K., Daca, P., & Chmelik, M. (2014). CEGAR for qualitative analysis of probabilistic systems. IST Austria. https://doi.org/10.15479/AT:IST-2014-153-v1-1 chicago: Chatterjee, Krishnendu, Przemyslaw Daca, and Martin Chmelik. CEGAR for Qualitative Analysis of Probabilistic Systems. IST Austria, 2014. https://doi.org/10.15479/AT:IST-2014-153-v1-1. ieee: K. Chatterjee, P. Daca, and M. Chmelik, CEGAR for qualitative analysis of probabilistic systems. IST Austria, 2014. ista: Chatterjee K, Daca P, Chmelik M. 2014. CEGAR for qualitative analysis of probabilistic systems, IST Austria, 31p. mla: Chatterjee, Krishnendu, et al. CEGAR for Qualitative Analysis of Probabilistic Systems. IST Austria, 2014, doi:10.15479/AT:IST-2014-153-v1-1. short: K. Chatterjee, P. Daca, M. Chmelik, CEGAR for Qualitative Analysis of Probabilistic Systems, IST Austria, 2014. date_created: 2018-12-12T11:39:11Z date_published: 2014-01-29T00:00:00Z date_updated: 2023-02-23T12:25:18Z day: '29' ddc: - '000' department: - _id: KrCh doi: 10.15479/AT:IST-2014-153-v1-1 file: - access_level: open_access checksum: 4d6cda4bebed970926403ad6ad8c745f content_type: application/pdf creator: system date_created: 2018-12-12T11:53:39Z date_updated: 2020-07-14T12:46:47Z file_id: '5500' file_name: IST-2014-153-v1+1_main.pdf file_size: 423322 relation: main_file file_date_updated: 2020-07-14T12:46:47Z has_accepted_license: '1' language: - iso: eng month: '01' oa: 1 oa_version: Published Version page: '31' publication_identifier: issn: - 2664-1690 publication_status: published publisher: IST Austria pubrep_id: '153' related_material: record: - id: '2063' relation: later_version status: public - id: '5413' relation: later_version status: public - id: '5414' relation: later_version status: public status: public title: CEGAR for qualitative analysis of probabilistic systems type: technical_report user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87 year: '2014' ... --- _id: '2163' abstract: - lang: eng text: We consider multi-player graph games with partial-observation and parity objective. While the decision problem for three-player games with a coalition of the first and second players against the third player is undecidable in general, we present a decidability result for partial-observation games where the first and third player are in a coalition against the second player, thus where the second player is adversarial but weaker due to partial-observation. We establish tight complexity bounds in the case where player 1 is less informed than player 2, namely 2-EXPTIME-completeness for parity objectives. The symmetric case of player 1 more informed than player 2 is much more complicated, and we show that already in the case where player 1 has perfect observation, memory of size non-elementary is necessary in general for reachability objectives, and the problem is decidable for safety and reachability objectives. From our results we derive new complexity results for partial-observation stochastic games. acknowledgement: "This research was partly supported by European project Cassting (FP7-601148).\r\nTechnical Report under https://research-explorer.app.ist.ac.at/record/5418\r\n" alternative_title: - LNCS 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. Games with a weak adversary. In: Lecture Notes in Computer Science. Vol 8573. Springer; 2014:110-121. doi:10.1007/978-3-662-43951-7_10' apa: 'Chatterjee, K., & Doyen, L. (2014). Games with a weak adversary. In Lecture Notes in Computer Science (Vol. 8573, pp. 110–121). Copenhagen, Denmark: Springer. https://doi.org/10.1007/978-3-662-43951-7_10' chicago: Chatterjee, Krishnendu, and Laurent Doyen. “Games with a Weak Adversary.” In Lecture Notes in Computer Science, 8573:110–21. Springer, 2014. https://doi.org/10.1007/978-3-662-43951-7_10. ieee: K. Chatterjee and L. Doyen, “Games with a weak adversary,” in Lecture Notes in Computer Science, Copenhagen, Denmark, 2014, vol. 8573, no. Part 2, pp. 110–121. ista: 'Chatterjee K, Doyen L. 2014. Games with a weak adversary. Lecture Notes in Computer Science. ICALP: Automata, Languages and Programming, LNCS, vol. 8573, 110–121.' mla: Chatterjee, Krishnendu, and Laurent Doyen. “Games with a Weak Adversary.” Lecture Notes in Computer Science, vol. 8573, no. Part 2, Springer, 2014, pp. 110–21, doi:10.1007/978-3-662-43951-7_10. short: K. Chatterjee, L. Doyen, in:, Lecture Notes in Computer Science, Springer, 2014, pp. 110–121. conference: end_date: 2014-07-11 location: Copenhagen, Denmark name: 'ICALP: Automata, Languages and Programming' start_date: 2014-07-08 date_created: 2018-12-11T11:56:04Z date_published: 2014-01-01T00:00:00Z date_updated: 2023-02-23T12:25:29Z day: '01' department: - _id: KrCh doi: 10.1007/978-3-662-43951-7_10 ec_funded: 1 external_id: arxiv: - '1404.5453' intvolume: ' 8573' issue: Part 2 language: - iso: eng main_file_link: - open_access: '1' url: https://arxiv.org/abs/1404.5453 month: '01' oa: 1 oa_version: Preprint page: 110 - 121 project: - _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 - _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: Lecture Notes in Computer Science publication_status: published publisher: Springer publist_id: '4821' quality_controlled: '1' related_material: record: - id: '5418' relation: earlier_version status: public status: public title: Games with a weak adversary type: conference user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87 volume: 8573 year: '2014' ... --- _id: '5419' abstract: - lang: eng text: "We consider the reachability and shortest path problems on low tree-width graphs, with n nodes, m edges, and tree-width t, on a standard RAM with wordsize W. We use O to hide polynomial factors of the inverse of the Ackermann function. Our main contributions are three fold:\r\n1. For reachability, we present an algorithm that requires O(n·t2·log(n/t)) preprocessing time, O(n·(t·log(n/t))/W) space, and O(t/W) time for pair queries and O((n·t)/W) time for single-source queries. Note that for constant t our algorithm uses O(n·logn) time for preprocessing; and O(n/W) time for single-source queries, which is faster than depth first search/breath first search (after the preprocessing).\r\n2. We present an algorithm for shortest path that requires O(n·t2) preprocessing time, O(n·t) space, and O(t2) time for pair queries and O(n·t) time single-source queries.\r\n3. We give a space versus query time trade-off algorithm for shortest path that, given any constant >0, requires O(n·t2) preprocessing time, O(n·t2) space, and O(n1−·t2) time for pair queries.\r\nOur algorithms improve all existing results, and use very simple data structures." alternative_title: - IST Austria Technical Report 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. Improved Algorithms for Reachability and Shortest Path on Low Tree-Width Graphs. IST Austria; 2014. doi:10.15479/AT:IST-2014-187-v1-1 apa: Chatterjee, K., Ibsen-Jensen, R., & Pavlogiannis, A. (2014). Improved algorithms for reachability and shortest path on low tree-width graphs. IST Austria. https://doi.org/10.15479/AT:IST-2014-187-v1-1 chicago: Chatterjee, Krishnendu, Rasmus Ibsen-Jensen, and Andreas Pavlogiannis. Improved Algorithms for Reachability and Shortest Path on Low Tree-Width Graphs. IST Austria, 2014. https://doi.org/10.15479/AT:IST-2014-187-v1-1. ieee: K. Chatterjee, R. Ibsen-Jensen, and A. Pavlogiannis, Improved algorithms for reachability and shortest path on low tree-width graphs. IST Austria, 2014. ista: Chatterjee K, Ibsen-Jensen R, Pavlogiannis A. 2014. Improved algorithms for reachability and shortest path on low tree-width graphs, IST Austria, 34p. mla: Chatterjee, Krishnendu, et al. Improved Algorithms for Reachability and Shortest Path on Low Tree-Width Graphs. IST Austria, 2014, doi:10.15479/AT:IST-2014-187-v1-1. short: K. Chatterjee, R. Ibsen-Jensen, A. Pavlogiannis, Improved Algorithms for Reachability and Shortest Path on Low Tree-Width Graphs, IST Austria, 2014. date_created: 2018-12-12T11:39:13Z date_published: 2014-04-14T00:00:00Z date_updated: 2021-01-12T08:02:03Z day: '14' ddc: - '000' department: - _id: KrCh doi: 10.15479/AT:IST-2014-187-v1-1 file: - access_level: open_access checksum: c608e66030a4bf51d2d99b451f539b99 content_type: application/pdf creator: system date_created: 2018-12-12T11:54:25Z date_updated: 2020-07-14T12:46:50Z file_id: '5548' file_name: IST-2014-187-v1+1_main_full_tech.pdf file_size: 670031 relation: main_file file_date_updated: 2020-07-14T12:46:50Z has_accepted_license: '1' language: - iso: eng month: '04' oa: 1 oa_version: Published Version page: '34' publication_identifier: issn: - 2664-1690 publication_status: published publisher: IST Austria pubrep_id: '187' status: public title: Improved algorithms for reachability and shortest path on low tree-width graphs type: technical_report user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87 year: '2014' ... --- _id: '5418' abstract: - lang: eng text: We consider multi-player graph games with partial-observation and parity objective. While the decision problem for three-player games with a coalition of the first and second players against the third player is undecidable, we present a decidability result for partial-observation games where the first and third player are in a coalition against the second player, thus where the second player is adversarial but weaker due to partial-observation. We establish tight complexity bounds in the case where player 1 is less informed than player 2, namely 2-EXPTIME-completeness for parity objectives. The symmetric case of player 1 more informed than player 2 is much more complicated, and we show that already in the case where player 1 has perfect observation, memory of size non-elementary is necessary in general for reachability objectives, and the problem is decidable for safety and reachability objectives. Our results have tight connections with partial-observation stochastic games for which we derive new complexity results. alternative_title: - IST Austria Technical Report 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. Games with a Weak Adversary. IST Austria; 2014. doi:10.15479/AT:IST-2014-176-v1-1 apa: Chatterjee, K., & Doyen, L. (2014). Games with a weak adversary. IST Austria. https://doi.org/10.15479/AT:IST-2014-176-v1-1 chicago: Chatterjee, Krishnendu, and Laurent Doyen. Games with a Weak Adversary. IST Austria, 2014. https://doi.org/10.15479/AT:IST-2014-176-v1-1. ieee: K. Chatterjee and L. Doyen, Games with a weak adversary. IST Austria, 2014. ista: Chatterjee K, Doyen L. 2014. Games with a weak adversary, IST Austria, 18p. mla: Chatterjee, Krishnendu, and Laurent Doyen. Games with a Weak Adversary. IST Austria, 2014, doi:10.15479/AT:IST-2014-176-v1-1. short: K. Chatterjee, L. Doyen, Games with a Weak Adversary, IST Austria, 2014. date_created: 2018-12-12T11:39:13Z date_published: 2014-03-22T00:00:00Z date_updated: 2023-02-23T10:30:58Z day: '22' ddc: - '000' - '005' department: - _id: KrCh doi: 10.15479/AT:IST-2014-176-v1-1 file: - access_level: open_access checksum: 1d6958aa60050e1c3e932c6e5f34c39f content_type: application/pdf creator: system date_created: 2018-12-12T11:53:07Z date_updated: 2020-07-14T12:46:49Z file_id: '5468' file_name: IST-2014-176-v1+1_icalp_14.pdf file_size: 328253 relation: main_file file_date_updated: 2020-07-14T12:46:49Z has_accepted_license: '1' language: - iso: eng month: '03' oa: 1 oa_version: Published Version page: '18' publication_identifier: issn: - 2664-1690 publication_status: published publisher: IST Austria pubrep_id: '176' related_material: record: - id: '2163' relation: later_version status: public status: public title: Games with a weak adversary type: technical_report user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87 year: '2014' ... --- _id: '5420' abstract: - lang: eng text: 'We consider concurrent mean-payoff games, a very well-studied class of two-player (player 1 vs player 2) zero-sum games on finite-state graphs where every transition is assigned a reward between 0 and 1, and the payoff function is the long-run average of the rewards. The value is the maximal expected payoff that player 1 can guarantee against all strategies of player 2. We consider the computation of the set of states with value 1 under finite-memory strategies for player 1, and our main results for the problem are as follows: (1) we present a polynomial-time algorithm; (2) we show that whenever there is a finite-memory strategy, there is a stationary strategy that does not need memory at all; and (3) we present an optimal bound (which is double exponential) on the patience of stationary strategies (where patience of a distribution is the inverse of the smallest positive probability and represents a complexity measure of a stationary strategy).' alternative_title: - IST Austria Technical Report 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 citation: ama: Chatterjee K, Ibsen-Jensen R. The Value 1 Problem for Concurrent Mean-Payoff Games. IST Austria; 2014. doi:10.15479/AT:IST-2014-191-v1-1 apa: Chatterjee, K., & Ibsen-Jensen, R. (2014). The value 1 problem for concurrent mean-payoff games. IST Austria. https://doi.org/10.15479/AT:IST-2014-191-v1-1 chicago: Chatterjee, Krishnendu, and Rasmus Ibsen-Jensen. The Value 1 Problem for Concurrent Mean-Payoff Games. IST Austria, 2014. https://doi.org/10.15479/AT:IST-2014-191-v1-1. ieee: K. Chatterjee and R. Ibsen-Jensen, The value 1 problem for concurrent mean-payoff games. IST Austria, 2014. ista: Chatterjee K, Ibsen-Jensen R. 2014. The value 1 problem for concurrent mean-payoff games, IST Austria, 49p. mla: Chatterjee, Krishnendu, and Rasmus Ibsen-Jensen. The Value 1 Problem for Concurrent Mean-Payoff Games. IST Austria, 2014, doi:10.15479/AT:IST-2014-191-v1-1. short: K. Chatterjee, R. Ibsen-Jensen, The Value 1 Problem for Concurrent Mean-Payoff Games, IST Austria, 2014. date_created: 2018-12-12T11:39:14Z date_published: 2014-04-14T00:00:00Z date_updated: 2021-01-12T08:02:05Z day: '14' ddc: - '000' - '005' department: - _id: KrCh doi: 10.15479/AT:IST-2014-191-v1-1 file: - access_level: open_access checksum: 49e0fd3e62650346daf7dc04604f7a0a content_type: application/pdf creator: system date_created: 2018-12-12T11:53:58Z date_updated: 2020-07-14T12:46:50Z file_id: '5520' file_name: IST-2014-191-v1+1_main_full.pdf file_size: 584368 relation: main_file file_date_updated: 2020-07-14T12:46:50Z has_accepted_license: '1' language: - iso: eng month: '04' oa: 1 oa_version: Published Version page: '49' publication_identifier: issn: - 2664-1690 publication_status: published publisher: IST Austria pubrep_id: '191' status: public title: The value 1 problem for concurrent mean-payoff games type: technical_report user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87 year: '2014' ... --- _id: '5424' abstract: - lang: eng text: We consider partially observable Markov decision processes (POMDPs), that are a standard framework for robotics applications to model uncertainties present in the real world, with temporal logic specifications. All temporal logic specifications in linear-time temporal logic (LTL) can be expressed as parity objectives. We study the qualitative analysis problem for POMDPs with parity objectives that asks whether there is a controller (policy) to ensure that the objective holds with probability 1 (almost-surely). While the qualitative analysis of POMDPs with parity objectives is undecidable, recent results show that when restricted to finite-memory policies the problem is EXPTIME-complete. While the problem is intractable in theory, we present a practical approach to solve the qualitative analysis problem. We designed several heuristics to deal with the exponential complexity, and have used our implementation on a number of well-known POMDP examples for robotics applications. Our results provide the first practical approach to solve the qualitative analysis of robot motion planning with LTL properties in the presence of uncertainty. alternative_title: - IST Austria Technical Report 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: Raghav full_name: Gupta, Raghav last_name: Gupta - first_name: Ayush full_name: Kanodia, Ayush last_name: Kanodia citation: ama: Chatterjee K, Chmelik M, Gupta R, Kanodia A. Qualitative Analysis of POMDPs with Temporal Logic Specifications for Robotics Applications. IST Austria; 2014. doi:10.15479/AT:IST-2014-305-v1-1 apa: Chatterjee, K., Chmelik, M., Gupta, R., & Kanodia, A. (2014). Qualitative analysis of POMDPs with temporal logic specifications for robotics applications. IST Austria. https://doi.org/10.15479/AT:IST-2014-305-v1-1 chicago: Chatterjee, Krishnendu, Martin Chmelik, Raghav Gupta, and Ayush Kanodia. Qualitative Analysis of POMDPs with Temporal Logic Specifications for Robotics Applications. IST Austria, 2014. https://doi.org/10.15479/AT:IST-2014-305-v1-1. ieee: K. Chatterjee, M. Chmelik, R. Gupta, and A. Kanodia, Qualitative analysis of POMDPs with temporal logic specifications for robotics applications. IST Austria, 2014. ista: Chatterjee K, Chmelik M, Gupta R, Kanodia A. 2014. Qualitative analysis of POMDPs with temporal logic specifications for robotics applications, IST Austria, 12p. mla: Chatterjee, Krishnendu, et al. Qualitative Analysis of POMDPs with Temporal Logic Specifications for Robotics Applications. IST Austria, 2014, doi:10.15479/AT:IST-2014-305-v1-1. short: K. Chatterjee, M. Chmelik, R. Gupta, A. Kanodia, Qualitative Analysis of POMDPs with Temporal Logic Specifications for Robotics Applications, IST Austria, 2014. date_created: 2018-12-12T11:39:15Z date_published: 2014-09-09T00:00:00Z date_updated: 2023-02-23T12:25:52Z day: '09' ddc: - '005' department: - _id: KrCh doi: 10.15479/AT:IST-2014-305-v1-1 file: - access_level: open_access checksum: 35009d5fad01198341e6c1a3353481b7 content_type: application/pdf creator: system date_created: 2018-12-12T11:53:51Z date_updated: 2020-07-14T12:46:51Z file_id: '5512' file_name: IST-2014-305-v1+1_main.pdf file_size: 655774 relation: main_file file_date_updated: 2020-07-14T12:46:51Z has_accepted_license: '1' language: - iso: eng month: '09' oa: 1 oa_version: Published Version page: '12' publication_identifier: issn: - 2664-1690 publication_status: published publisher: IST Austria pubrep_id: '305' related_material: record: - id: '1732' relation: later_version status: public - id: '5426' relation: later_version status: public status: public title: Qualitative analysis of POMDPs with temporal logic specifications for robotics applications type: technical_report user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87 year: '2014' ... --- _id: '5426' abstract: - lang: eng text: We consider partially observable Markov decision processes (POMDPs), that are a standard framework for robotics applications to model uncertainties present in the real world, with temporal logic specifications. All temporal logic specifications in linear-time temporal logic (LTL) can be expressed as parity objectives. We study the qualitative analysis problem for POMDPs with parity objectives that asks whether there is a controller (policy) to ensure that the objective holds with probability 1 (almost-surely). While the qualitative analysis of POMDPs with parity objectives is undecidable, recent results show that when restricted to finite-memory policies the problem is EXPTIME-complete. While the problem is intractable in theory, we present a practical approach to solve the qualitative analysis problem. We designed several heuristics to deal with the exponential complexity, and have used our implementation on a number of well-known POMDP examples for robotics applications. Our results provide the first practical approach to solve the qualitative analysis of robot motion planning with LTL properties in the presence of uncertainty. alternative_title: - IST Austria Technical Report 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: Raghav full_name: Gupta, Raghav last_name: Gupta - first_name: Ayush full_name: Kanodia, Ayush last_name: Kanodia citation: ama: Chatterjee K, Chmelik M, Gupta R, Kanodia A. Qualitative Analysis of POMDPs with Temporal Logic Specifications for Robotics Applications. IST Austria; 2014. doi:10.15479/AT:IST-2014-305-v2-1 apa: Chatterjee, K., Chmelik, M., Gupta, R., & Kanodia, A. (2014). Qualitative analysis of POMDPs with temporal logic specifications for robotics applications. IST Austria. https://doi.org/10.15479/AT:IST-2014-305-v2-1 chicago: Chatterjee, Krishnendu, Martin Chmelik, Raghav Gupta, and Ayush Kanodia. Qualitative Analysis of POMDPs with Temporal Logic Specifications for Robotics Applications. IST Austria, 2014. https://doi.org/10.15479/AT:IST-2014-305-v2-1. ieee: K. Chatterjee, M. Chmelik, R. Gupta, and A. Kanodia, Qualitative analysis of POMDPs with temporal logic specifications for robotics applications. IST Austria, 2014. ista: Chatterjee K, Chmelik M, Gupta R, Kanodia A. 2014. Qualitative analysis of POMDPs with temporal logic specifications for robotics applications, IST Austria, 10p. mla: Chatterjee, Krishnendu, et al. Qualitative Analysis of POMDPs with Temporal Logic Specifications for Robotics Applications. IST Austria, 2014, doi:10.15479/AT:IST-2014-305-v2-1. short: K. Chatterjee, M. Chmelik, R. Gupta, A. Kanodia, Qualitative Analysis of POMDPs with Temporal Logic Specifications for Robotics Applications, IST Austria, 2014. date_created: 2018-12-12T11:39:16Z date_published: 2014-09-29T00:00:00Z date_updated: 2023-02-23T12:25:47Z day: '29' ddc: - '005' department: - _id: KrCh doi: 10.15479/AT:IST-2014-305-v2-1 file: - access_level: open_access checksum: 730c0a8e97cf2712a884b2cc423f3919 content_type: application/pdf creator: system date_created: 2018-12-12T11:54:15Z date_updated: 2020-07-14T12:46:51Z file_id: '5537' file_name: IST-2014-305-v2+1_main2.pdf file_size: 656019 relation: main_file file_date_updated: 2020-07-14T12:46:51Z has_accepted_license: '1' language: - iso: eng month: '09' oa: 1 oa_version: Published Version page: '10' publication_identifier: issn: - 2664-1690 publication_status: published publisher: IST Austria pubrep_id: '311' related_material: record: - id: '1732' relation: later_version status: public - id: '5424' relation: earlier_version status: public status: public title: Qualitative analysis of POMDPs with temporal logic specifications for robotics applications type: technical_report user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87 year: '2014' ... --- _id: '5423' abstract: - lang: eng text: 'We present a flexible framework for the automated competitive analysis of on-line scheduling algorithms for firm- deadline real-time tasks based on multi-objective graphs: Given a taskset and an on-line scheduling algorithm specified as a labeled transition system, along with some optional safety, liveness, and/or limit-average constraints for the adversary, we automatically compute the competitive ratio of the algorithm w.r.t. a clairvoyant scheduler. We demonstrate the flexibility and power of our approach by comparing the competitive ratio of several on-line algorithms, including D(over), that have been proposed in the past, for various tasksets. Our experimental results reveal that none of these algorithms is universally optimal, in the sense that there are tasksets where other schedulers provide better performance. Our framework is hence a very useful design tool for selecting optimal algorithms for a given application. ' alternative_title: - IST Austria Technical Report author: - first_name: Krishnendu full_name: Chatterjee, Krishnendu id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87 last_name: Chatterjee orcid: 0000-0002-4561-241X - first_name: Alexander full_name: Kössler, Alexander last_name: Kössler - first_name: Andreas full_name: Pavlogiannis, Andreas id: 49704004-F248-11E8-B48F-1D18A9856A87 last_name: Pavlogiannis orcid: 0000-0002-8943-0722 - first_name: Ulrich full_name: Schmid, Ulrich last_name: Schmid citation: ama: Chatterjee K, Kössler A, Pavlogiannis A, Schmid U. A Framework for Automated Competitive Analysis of On-Line Scheduling of Firm-Deadline Tasks. IST Austria; 2014. doi:10.15479/AT:IST-2014-300-v1-1 apa: Chatterjee, K., Kössler, A., Pavlogiannis, A., & Schmid, U. (2014). A framework for automated competitive analysis of on-line scheduling of firm-deadline tasks. IST Austria. https://doi.org/10.15479/AT:IST-2014-300-v1-1 chicago: Chatterjee, Krishnendu, Alexander Kössler, Andreas Pavlogiannis, and Ulrich Schmid. A Framework for Automated Competitive Analysis of On-Line Scheduling of Firm-Deadline Tasks. IST Austria, 2014. https://doi.org/10.15479/AT:IST-2014-300-v1-1. ieee: K. Chatterjee, A. Kössler, A. Pavlogiannis, and U. Schmid, A framework for automated competitive analysis of on-line scheduling of firm-deadline tasks. IST Austria, 2014. ista: Chatterjee K, Kössler A, Pavlogiannis A, Schmid U. 2014. A framework for automated competitive analysis of on-line scheduling of firm-deadline tasks, IST Austria, 14p. mla: Chatterjee, Krishnendu, et al. A Framework for Automated Competitive Analysis of On-Line Scheduling of Firm-Deadline Tasks. IST Austria, 2014, doi:10.15479/AT:IST-2014-300-v1-1. short: K. Chatterjee, A. Kössler, A. Pavlogiannis, U. Schmid, A Framework for Automated Competitive Analysis of On-Line Scheduling of Firm-Deadline Tasks, IST Austria, 2014. date_created: 2018-12-12T11:39:15Z date_published: 2014-07-29T00:00:00Z date_updated: 2023-02-23T10:11:15Z day: '29' ddc: - '005' department: - _id: KrCh doi: 10.15479/AT:IST-2014-300-v1-1 file: - access_level: open_access checksum: 4b8fde4d9ef6653837f6803921d83032 content_type: application/pdf creator: system date_created: 2018-12-12T11:53:53Z date_updated: 2020-07-14T12:46:50Z file_id: '5514' file_name: IST-2014-300-v1+1_main.pdf file_size: 1270021 relation: main_file file_date_updated: 2020-07-14T12:46:50Z has_accepted_license: '1' language: - iso: eng month: '07' oa: 1 oa_version: Published Version page: '14' publication_identifier: issn: - 2664-1690 publication_status: published publisher: IST Austria pubrep_id: '300' related_material: record: - id: '1714' relation: later_version status: public status: public title: A framework for automated competitive analysis of on-line scheduling of firm-deadline tasks type: technical_report user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87 year: '2014' ... --- _id: '5427' abstract: - lang: eng text: 'We consider graphs with n nodes together with their tree-decomposition that has b = O ( n ) bags and width t , on the standard RAM computational model with wordsize W = Θ (log n ) . Our contributions are two-fold: Our first contribution is an algorithm that given a graph and its tree-decomposition as input, computes a binary and balanced tree-decomposition of width at most 4 · t + 3 of the graph in O ( b ) time and space, improving a long-standing (from 1992) bound of O ( n · log n ) time for constant treewidth graphs. Our second contribution is on reachability queries for low treewidth graphs. We build on our tree-balancing algorithm and present a data-structure for graph reachability that requires O ( n · t 2 ) preprocessing time, O ( n · t ) space, and O ( d t/ log n e ) time for pair queries, and O ( n · t · log t/ log n ) time for single-source queries. For constant t our data-structure uses O ( n ) time for preprocessing, O (1) time for pair queries, and O ( n/ log n ) time for single-source queries. This is (asymptotically) optimal and is faster than DFS/BFS when answering more than a constant number of single-source queries.' alternative_title: - IST Austria Technical Report 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. Optimal Tree-Decomposition Balancing and Reachability on Low Treewidth Graphs. IST Austria; 2014. doi:10.15479/AT:IST-2014-314-v1-1 apa: Chatterjee, K., Ibsen-Jensen, R., & Pavlogiannis, A. (2014). Optimal tree-decomposition balancing and reachability on low treewidth graphs. IST Austria. https://doi.org/10.15479/AT:IST-2014-314-v1-1 chicago: Chatterjee, Krishnendu, Rasmus Ibsen-Jensen, and Andreas Pavlogiannis. Optimal Tree-Decomposition Balancing and Reachability on Low Treewidth Graphs. IST Austria, 2014. https://doi.org/10.15479/AT:IST-2014-314-v1-1. ieee: K. Chatterjee, R. Ibsen-Jensen, and A. Pavlogiannis, Optimal tree-decomposition balancing and reachability on low treewidth graphs. IST Austria, 2014. ista: Chatterjee K, Ibsen-Jensen R, Pavlogiannis A. 2014. Optimal tree-decomposition balancing and reachability on low treewidth graphs, IST Austria, 24p. mla: Chatterjee, Krishnendu, et al. Optimal Tree-Decomposition Balancing and Reachability on Low Treewidth Graphs. IST Austria, 2014, doi:10.15479/AT:IST-2014-314-v1-1. short: K. Chatterjee, R. Ibsen-Jensen, A. Pavlogiannis, Optimal Tree-Decomposition Balancing and Reachability on Low Treewidth Graphs, IST Austria, 2014. date_created: 2018-12-12T11:39:16Z date_published: 2014-11-05T00:00:00Z date_updated: 2021-01-12T08:02:09Z day: '05' ddc: - '000' department: - _id: KrCh doi: 10.15479/AT:IST-2014-314-v1-1 file: - access_level: open_access checksum: 9d3b90bf4fff74664f182f2d95ef727a content_type: application/pdf creator: system date_created: 2018-12-12T11:53:10Z date_updated: 2020-07-14T12:46:52Z file_id: '5471' file_name: IST-2014-314-v1+1_long.pdf file_size: 405561 relation: main_file file_date_updated: 2020-07-14T12:46:52Z has_accepted_license: '1' language: - iso: eng month: '11' oa: 1 oa_version: Published Version page: '24' publication_identifier: issn: - 2664-1690 publication_status: published publisher: IST Austria pubrep_id: '314' status: public title: Optimal tree-decomposition balancing and reachability on low treewidth graphs type: technical_report user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87 year: '2014' ... --- _id: '5415' abstract: - lang: eng text: 'Recently there has been a significant effort to add quantitative properties in formal verification and synthesis. While weighted automata over finite and infinite words provide a natural and flexible framework to express quantitative properties, perhaps surprisingly, several basic system properties such as average response time cannot be expressed with weighted automata. In this work, we introduce nested weighted automata as a new formalism for expressing important quantitative properties such as average response time. We establish an almost complete decidability picture for the basic decision problems for nested weighted automata, and illustrate its applicability in several domains. ' alternative_title: - IST Austria Technical Report 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. Nested Weighted Automata. IST Austria; 2014. doi:10.15479/AT:IST-2014-170-v1-1 apa: Chatterjee, K., Henzinger, T. A., & Otop, J. (2014). Nested weighted automata. IST Austria. https://doi.org/10.15479/AT:IST-2014-170-v1-1 chicago: Chatterjee, Krishnendu, Thomas A Henzinger, and Jan Otop. Nested Weighted Automata. IST Austria, 2014. https://doi.org/10.15479/AT:IST-2014-170-v1-1. ieee: K. Chatterjee, T. A. Henzinger, and J. Otop, Nested weighted automata. IST Austria, 2014. ista: Chatterjee K, Henzinger TA, Otop J. 2014. Nested weighted automata, IST Austria, 27p. mla: Chatterjee, Krishnendu, et al. Nested Weighted Automata. IST Austria, 2014, doi:10.15479/AT:IST-2014-170-v1-1. short: K. Chatterjee, T.A. Henzinger, J. Otop, Nested Weighted Automata, IST Austria, 2014. date_created: 2018-12-12T11:39:12Z date_published: 2014-02-19T00:00:00Z date_updated: 2023-02-23T12:26:19Z day: '19' ddc: - '004' department: - _id: KrCh - _id: ToHe doi: 10.15479/AT:IST-2014-170-v1-1 file: - access_level: open_access checksum: 31f90dcf2cf899c3f8c6427cfcc2b3c7 content_type: application/pdf creator: system date_created: 2018-12-12T11:53:36Z date_updated: 2020-07-14T12:46:48Z file_id: '5497' file_name: IST-2014-170-v1+1_main.pdf file_size: 573457 relation: main_file file_date_updated: 2020-07-14T12:46:48Z has_accepted_license: '1' language: - iso: eng month: '02' oa: 1 oa_version: Published Version page: '27' publication_identifier: issn: - 2664-1690 publication_status: published publisher: IST Austria pubrep_id: '170' related_material: record: - id: '1656' relation: later_version status: public - id: '467' relation: later_version status: public - id: '5436' relation: later_version status: public status: public title: Nested weighted automata type: technical_report user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87 year: '2014' ... --- _id: '5421' abstract: - lang: eng text: 'Evolution occurs in populations of reproducing individuals. The structure of the population affects the outcome of the evolutionary process. Evolutionary graph theory is a powerful approach to study this phenomenon. There are two graphs. The interaction graph specifies who interacts with whom in the context of evolution. The replacement graph specifies who competes with whom for reproduction. The vertices of the two graphs are the same, and each vertex corresponds to an individual. A key quantity is the fixation probability of a new mutant. It is defined as the probability that a newly introduced mutant (on a single vertex) generates a lineage of offspring which eventually takes over the entire population of resident individuals. The basic computational questions are as follows: (i) the qualitative question asks whether the fixation probability is positive; and (ii) the quantitative approximation question asks for an approximation of the fixation probability. Our main results are: (1) We show that the qualitative question is NP-complete and the quantitative approximation question is #P-hard in the special case when the interaction and the replacement graphs coincide and even with the restriction that the resident individuals do not reproduce (which corresponds to an invading population taking over an empty structure). (2) We show that in general the qualitative question is PSPACE-complete and the quantitative approximation question is PSPACE-hard and can be solved in exponential time.' alternative_title: - IST Austria Technical Report 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: Martin full_name: Nowak, Martin last_name: Nowak citation: ama: Chatterjee K, Ibsen-Jensen R, Nowak M. The Complexity of Evolution on Graphs. IST Austria; 2014. doi:10.15479/AT:IST-2014-190-v2-2 apa: Chatterjee, K., Ibsen-Jensen, R., & Nowak, M. (2014). The complexity of evolution on graphs. IST Austria. https://doi.org/10.15479/AT:IST-2014-190-v2-2 chicago: Chatterjee, Krishnendu, Rasmus Ibsen-Jensen, and Martin Nowak. The Complexity of Evolution on Graphs. IST Austria, 2014. https://doi.org/10.15479/AT:IST-2014-190-v2-2. ieee: K. Chatterjee, R. Ibsen-Jensen, and M. Nowak, The complexity of evolution on graphs. IST Austria, 2014. ista: Chatterjee K, Ibsen-Jensen R, Nowak M. 2014. The complexity of evolution on graphs, IST Austria, 27p. mla: Chatterjee, Krishnendu, et al. The Complexity of Evolution on Graphs. IST Austria, 2014, doi:10.15479/AT:IST-2014-190-v2-2. short: K. Chatterjee, R. Ibsen-Jensen, M. Nowak, The Complexity of Evolution on Graphs, IST Austria, 2014. date_created: 2018-12-12T11:39:14Z date_published: 2014-04-18T00:00:00Z date_updated: 2023-02-23T12:26:33Z day: '18' ddc: - '000' - '005' department: - _id: KrCh doi: 10.15479/AT:IST-2014-190-v2-2 file: - access_level: open_access checksum: 42f3d8b563286eb0d903832bd9a848d3 content_type: application/pdf creator: system date_created: 2018-12-12T11:54:16Z date_updated: 2020-07-14T12:46:50Z file_id: '5538' file_name: IST-2014-190-v2+2_main_full.pdf file_size: 443529 relation: main_file - access_level: open_access checksum: 0c9a2fd822309719634495a35957e34d content_type: application/pdf creator: kschuh date_created: 2019-09-06T07:30:20Z date_updated: 2020-07-14T12:46:50Z file_id: '6852' file_name: IST-2014-190-v1+1_main_full.pdf file_size: 440911 relation: main_file file_date_updated: 2020-07-14T12:46:50Z has_accepted_license: '1' language: - iso: eng month: '04' oa: 1 oa_version: Published Version page: '27' publication_identifier: issn: - 2664-1690 publication_status: published publisher: IST Austria pubrep_id: '190' related_material: record: - id: '5432' relation: later_version status: public - id: '5440' relation: later_version status: public status: public title: The complexity of evolution on graphs type: technical_report user_id: 3E5EF7F0-F248-11E8-B48F-1D18A9856A87 year: '2014' ... --- _id: '10885' abstract: - lang: eng text: "Two-player games on graphs provide the theoretical framework for many important problems such as reactive synthesis. While the traditional study of two-player zero-sum games has been extended to multi-player games with several notions of equilibria, they are decidable only for perfect-information games, whereas several applications require imperfect-information games.\r\nIn this paper we propose a new notion of equilibria, called doomsday equilibria, which is a strategy profile such that all players satisfy their own objective, and if any coalition of players deviates and violates even one of the players objective, then the objective of every player is violated.\r\nWe present algorithms and complexity results for deciding the existence of doomsday equilibria for various classes of ω-regular objectives, both for imperfect-information games, and for perfect-information games.We provide optimal complexity bounds for imperfect-information games, and in most cases for perfect-information games." acknowledgement: " Supported by Austrian Science Fund (FWF) Grant No P23499-N23, FWF NFN Grant No\r\nS11407-N23 (RiSE), ERC Start grant (279307: Graph Games), and Microsoft faculty fellows award." 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: Laurent full_name: Doyen, Laurent last_name: Doyen - first_name: Emmanuel full_name: Filiot, Emmanuel last_name: Filiot - first_name: Jean-François full_name: Raskin, Jean-François last_name: Raskin citation: ama: 'Chatterjee K, Doyen L, Filiot E, Raskin J-F. Doomsday equilibria for omega-regular games. In: VMCAI 2014: Verification, Model Checking, and Abstract Interpretation. Vol 8318. Springer Nature; 2014:78-97. doi:10.1007/978-3-642-54013-4_5' apa: 'Chatterjee, K., Doyen, L., Filiot, E., & Raskin, J.-F. (2014). Doomsday equilibria for omega-regular games. In VMCAI 2014: Verification, Model Checking, and Abstract Interpretation (Vol. 8318, pp. 78–97). San Diego, CA, United States: Springer Nature. https://doi.org/10.1007/978-3-642-54013-4_5' chicago: 'Chatterjee, Krishnendu, Laurent Doyen, Emmanuel Filiot, and Jean-François Raskin. “Doomsday Equilibria for Omega-Regular Games.” In VMCAI 2014: Verification, Model Checking, and Abstract Interpretation, 8318:78–97. Springer Nature, 2014. https://doi.org/10.1007/978-3-642-54013-4_5.' ieee: 'K. Chatterjee, L. Doyen, E. Filiot, and J.-F. Raskin, “Doomsday equilibria for omega-regular games,” in VMCAI 2014: Verification, Model Checking, and Abstract Interpretation, San Diego, CA, United States, 2014, vol. 8318, pp. 78–97.' ista: 'Chatterjee K, Doyen L, Filiot E, Raskin J-F. 2014. Doomsday equilibria for omega-regular games. VMCAI 2014: Verification, Model Checking, and Abstract Interpretation. VMCAI: Verifcation, Model Checking, and Abstract Interpretation, LNCS, vol. 8318, 78–97.' mla: 'Chatterjee, Krishnendu, et al. “Doomsday Equilibria for Omega-Regular Games.” VMCAI 2014: Verification, Model Checking, and Abstract Interpretation, vol. 8318, Springer Nature, 2014, pp. 78–97, doi:10.1007/978-3-642-54013-4_5.' short: 'K. Chatterjee, L. Doyen, E. Filiot, J.-F. Raskin, in:, VMCAI 2014: Verification, Model Checking, and Abstract Interpretation, Springer Nature, 2014, pp. 78–97.' conference: end_date: 2014-01-21 location: San Diego, CA, United States name: 'VMCAI: Verifcation, Model Checking, and Abstract Interpretation' start_date: 2014-01-19 date_created: 2022-03-18T13:03:15Z date_published: 2014-01-30T00:00:00Z date_updated: 2023-02-23T12:52:24Z day: '30' department: - _id: KrCh doi: 10.1007/978-3-642-54013-4_5 ec_funded: 1 external_id: arxiv: - '1311.3238' intvolume: ' 8318' language: - iso: eng month: '01' oa_version: Preprint page: 78-97 project: - _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 - _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: 'VMCAI 2014: Verification, Model Checking, and Abstract Interpretation' publication_identifier: eisbn: - '9783642540134' eissn: - 1611-3349 isbn: - '9783642540127' issn: - 0302-9743 publication_status: published publisher: Springer Nature quality_controlled: '1' related_material: record: - id: '681' relation: later_version status: public scopus_import: '1' status: public title: Doomsday equilibria for omega-regular games type: conference user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87 volume: 8318 year: '2014' ...