--- _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' ...