--- _id: '5379' abstract: - lang: eng text: Computing the winning set for Büchi objectives in alternating games on graphs is a central problem in computer aided verification with a large number of applications. The long standing best known upper bound for solving the problem is ̃O(n·m), where n is the number of vertices and m is the number of edges in the graph. We are the first to break the ̃O(n·m) boundary by presenting a new technique that reduces the running time to O(n2). This bound also leads to O(n2) time algorithms for computing the set of almost-sure winning vertices for Büchi objectives (1) in alternating games with probabilistic transitions (improving an earlier bound of O(n·m)), (2) in concurrent graph games with constant actions (improving an earlier bound of O(n3)), and (3) in Markov decision processes (improving for m > n4/3 an earlier bound of O(min(m1.5, m·n2/3)). We also show that the same technique can be used to compute the maximal end-component decomposition of a graph in time O(n2), which is an improvement over earlier bounds for m > n4/3. Finally, we show how to maintain the winning set for Büchi objectives in alternating games under a sequence of edge insertions or a sequence of edge deletions in O(n) amortized time per operation. This is the first dynamic algorithm for this problem. alternative_title: - IST Austria Technical Report 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: Monika H full_name: Henzinger, Monika H id: 540c9bbd-f2de-11ec-812d-d04a5be85630 last_name: Henzinger orcid: 0000-0002-5008-6530 citation: ama: Chatterjee K, Henzinger MH. An O(N2) Time Algorithm for Alternating Büchi Games. IST Austria; 2011. doi:10.15479/AT:IST-2011-0009 apa: Chatterjee, K., & Henzinger, M. H. (2011). An O(n2) time algorithm for alternating Büchi games. IST Austria. https://doi.org/10.15479/AT:IST-2011-0009 chicago: Chatterjee, Krishnendu, and Monika H Henzinger. An O(N2) Time Algorithm for Alternating Büchi Games. IST Austria, 2011. https://doi.org/10.15479/AT:IST-2011-0009. ieee: K. Chatterjee and M. H. Henzinger, An O(n2) time algorithm for alternating Büchi games. IST Austria, 2011. ista: Chatterjee K, Henzinger MH. 2011. An O(n2) time algorithm for alternating Büchi games, IST Austria, 20p. mla: Chatterjee, Krishnendu, and Monika H. Henzinger. An O(N2) Time Algorithm for Alternating Büchi Games. IST Austria, 2011, doi:10.15479/AT:IST-2011-0009. short: K. Chatterjee, M.H. Henzinger, An O(N2) Time Algorithm for Alternating Büchi Games, IST Austria, 2011. date_created: 2018-12-12T11:38:59Z date_published: 2011-07-11T00:00:00Z date_updated: 2023-02-23T11:15:12Z day: '11' ddc: - '000' - '004' department: - _id: KrCh doi: 10.15479/AT:IST-2011-0009 file: - access_level: open_access checksum: 0b354264229045d982332fd2cb5b9a26 content_type: application/pdf creator: system date_created: 2018-12-12T11:53:43Z date_updated: 2020-07-14T12:46:39Z file_id: '5504' file_name: IST-2011-0009_IST-2011-0009.pdf file_size: 388665 relation: main_file file_date_updated: 2020-07-14T12:46:39Z has_accepted_license: '1' language: - iso: eng month: '07' oa: 1 oa_version: Published Version page: '20' publication_identifier: issn: - 2664-1690 publication_status: published publisher: IST Austria pubrep_id: '15' related_material: record: - id: '3165' relation: later_version status: public status: public title: An O(n2) time algorithm for alternating Büchi games type: technical_report user_id: 6785fbc1-c503-11eb-8a32-93094b40e1cf year: '2011' ... --- _id: '5381' abstract: - lang: eng text: "In two-player finite-state stochastic games of partial obser- vation on graphs, in every state of the graph, the players simultaneously choose an action, and their joint actions determine a probability distri- bution 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 pos- itively (i.e., with positive probability), no matter the strategy of the second player.\r\n\r\nWe 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.\r\n\r\nOur main results for pure strategies are as follows: (1) For one-sided games with player 2 perfect observation we show that (in contrast to full randomized strategies) belief-based (subset-construction based) strate- gies are not sufficient, and present an exponential upper bound on mem- ory 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 algo- rithms that avoid the explicit exponential construction. (2) For one-sided games with player 1 perfect observation we show that non-elementary memory is both necessary and sufficient for both almost-sure and posi- tive 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 non-elementary 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 re- sult exhibit serious flaws in previous results in the literature: we show a non-elementary memory lower bound for almost-sure winning whereas an exponential upper bound was previously claimed." 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. Partial-Observation Stochastic Games: How to Win When Belief Fails. IST Austria; 2011. doi:10.15479/AT:IST-2011-0007' apa: 'Chatterjee, K., & Doyen, L. (2011). Partial-observation stochastic games: How to win when belief fails. IST Austria. https://doi.org/10.15479/AT:IST-2011-0007' chicago: 'Chatterjee, Krishnendu, and Laurent Doyen. Partial-Observation Stochastic Games: How to Win When Belief Fails. IST Austria, 2011. https://doi.org/10.15479/AT:IST-2011-0007.' ieee: 'K. Chatterjee and L. Doyen, Partial-observation stochastic games: How to win when belief fails. IST Austria, 2011.' ista: 'Chatterjee K, Doyen L. 2011. Partial-observation stochastic games: How to win when belief fails, IST Austria, 43p.' mla: 'Chatterjee, Krishnendu, and Laurent Doyen. Partial-Observation Stochastic Games: How to Win When Belief Fails. IST Austria, 2011, doi:10.15479/AT:IST-2011-0007.' short: 'K. Chatterjee, L. Doyen, Partial-Observation Stochastic Games: How to Win When Belief Fails, IST Austria, 2011.' date_created: 2018-12-12T11:39:00Z date_published: 2011-07-05T00:00:00Z date_updated: 2023-02-23T11:05:48Z day: '05' ddc: - '000' - '005' department: - _id: KrCh doi: 10.15479/AT:IST-2011-0007 file: - access_level: open_access checksum: 06bf6dfc97f6006e3fd0e9a3f31bc961 content_type: application/pdf creator: system date_created: 2018-12-12T11:53:27Z date_updated: 2020-07-14T12:46:39Z file_id: '5488' file_name: IST-2011-0007_IST-2011-0007.pdf file_size: 574055 relation: main_file file_date_updated: 2020-07-14T12:46:39Z has_accepted_license: '1' language: - iso: eng month: '07' oa: 1 oa_version: Published Version page: '43' publication_identifier: issn: - 2664-1690 publication_status: published publisher: IST Austria pubrep_id: '17' related_material: record: - id: '1903' relation: later_version status: public - id: '2211' relation: later_version status: public - id: '2955' relation: later_version status: public status: public title: 'Partial-observation stochastic games: How to win when belief fails' type: technical_report user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87 year: '2011' ... --- _id: '5380' abstract: - lang: eng text: 'We consider 2-player games played on a finite state space for an infinite number of rounds. The games are concurrent: in each round, the two players (player 1 and player 2) choose their moves independently and simultaneously; the current state and the two moves determine the successor state. We study concurrent games with ω-regular winning conditions specified as parity objectives. We consider the qualitative analysis problems: the computation of the almost-sure and limit-sure winning set of states, where player 1 can ensure to win with probability 1 and with probability arbitrarily close to 1, respectively. In general the almost-sure and limit-sure winning strategies require both infinite-memory as well as infinite-precision (to describe probabilities). We study the bounded-rationality problem for qualitative analysis of concurrent parity games, where the strategy set for player 1 is restricted to bounded-resource strategies. In terms of precision, strategies can be deterministic, uniform, finite-precision or infinite-precision; and in terms of memory, strategies can be memoryless, finite-memory or infinite-memory. We present a precise and complete characterization of the qualitative winning sets for all combinations of classes of strategies. In particular, we show that uniform memoryless strategies are as powerful as finite-precision infinite-memory strategies, and infinite-precision memoryless strategies are as powerful as infinite-precision finite-memory strategies. We show that the winning sets can be computed in O(n2d+3) time, where n is the size of the game structure and 2d is the number of priorities (or colors), and our algorithms are symbolic. The membership problem of whether a state belongs to a winning set can be decided in NP ∩ coNP. While this complexity is the same as for the simpler class of turn-based parity games, where in each state only one of the two players has a choice of moves, our algorithms,that are obtained by characterization of the winning sets as μ-calculus formulas, are considerably more involved than those for turn-based games.' 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 citation: ama: Chatterjee K. Bounded Rationality in Concurrent Parity Games. IST Austria; 2011. doi:10.15479/AT:IST-2011-0008 apa: Chatterjee, K. (2011). Bounded rationality in concurrent parity games. IST Austria. https://doi.org/10.15479/AT:IST-2011-0008 chicago: Chatterjee, Krishnendu. Bounded Rationality in Concurrent Parity Games. IST Austria, 2011. https://doi.org/10.15479/AT:IST-2011-0008. ieee: K. Chatterjee, Bounded rationality in concurrent parity games. IST Austria, 2011. ista: Chatterjee K. 2011. Bounded rationality in concurrent parity games, IST Austria, 53p. mla: Chatterjee, Krishnendu. Bounded Rationality in Concurrent Parity Games. IST Austria, 2011, doi:10.15479/AT:IST-2011-0008. short: K. Chatterjee, Bounded Rationality in Concurrent Parity Games, IST Austria, 2011. date_created: 2018-12-12T11:39:00Z date_published: 2011-07-11T00:00:00Z date_updated: 2023-02-23T11:22:53Z day: '11' ddc: - '000' department: - _id: KrCh doi: 10.15479/AT:IST-2011-0008 file: - access_level: open_access checksum: 0fd38186409be819a911c4990fa79d1f content_type: application/pdf creator: system date_created: 2018-12-12T11:54:22Z date_updated: 2020-07-14T12:46:39Z file_id: '5544' file_name: IST-2011-0008_IST-2011-0008.pdf file_size: 500399 relation: main_file file_date_updated: 2020-07-14T12:46:39Z has_accepted_license: '1' language: - iso: eng month: '07' oa: 1 oa_version: Published Version page: '53' publication_identifier: issn: - 2664-1690 publication_status: published publisher: IST Austria pubrep_id: '16' related_material: record: - id: '3338' relation: later_version status: public status: public title: Bounded rationality in concurrent parity games type: technical_report user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87 year: '2011' ... --- _id: '5382' abstract: - lang: eng text: 'We consider two-player stochastic games played on a finite state space for an infinite num- ber of rounds. The games are concurrent: in each round, the two players (player 1 and player 2) choose their moves independently and simultaneously; the current state and the two moves determine a probability distribution over the successor states. We also consider the important special case of turn-based stochastic games where players make moves in turns, rather than concurrently. We study concurrent games with ω-regular winning conditions specified as parity objectives. The value for player 1 for a parity objective is the maximal probability with which the player can guarantee the satisfaction of the objective against all strategies of the opponent. We study the problem of continuity and robustness of the value function in concurrent and turn-based stochastic parity games with respect to imprecision in the transition probabilities. We present quantitative bounds on the difference of the value function (in terms of the imprecision of the transition probabilities) and show the value continuity for structurally equivalent concurrent games (two games are structurally equivalent if the support of the transition func- tion is same and the probabilities differ). We also show robustness of optimal strategies for structurally equivalent turn-based stochastic parity games. Finally we show that the value continuity property breaks without the structurally equivalent assumption (even for Markov chains) and show that our quantitative bound is asymptotically optimal. Hence our results are tight (the assumption is both necessary and sufficient) and optimal (our quantitative bound is asymptotically optimal).' 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 citation: ama: Chatterjee K. Robustness of Structurally Equivalent Concurrent Parity Games. IST Austria; 2011. doi:10.15479/AT:IST-2011-0006 apa: Chatterjee, K. (2011). Robustness of structurally equivalent concurrent parity games. IST Austria. https://doi.org/10.15479/AT:IST-2011-0006 chicago: Chatterjee, Krishnendu. Robustness of Structurally Equivalent Concurrent Parity Games. IST Austria, 2011. https://doi.org/10.15479/AT:IST-2011-0006. ieee: K. Chatterjee, Robustness of structurally equivalent concurrent parity games. IST Austria, 2011. ista: Chatterjee K. 2011. Robustness of structurally equivalent concurrent parity games, IST Austria, 18p. mla: Chatterjee, Krishnendu. Robustness of Structurally Equivalent Concurrent Parity Games. IST Austria, 2011, doi:10.15479/AT:IST-2011-0006. short: K. Chatterjee, Robustness of Structurally Equivalent Concurrent Parity Games, IST Austria, 2011. date_created: 2018-12-12T11:39:00Z date_published: 2011-06-27T00:00:00Z date_updated: 2023-02-23T11:23:01Z day: '27' ddc: - '000' - '005' department: - _id: KrCh doi: 10.15479/AT:IST-2011-0006 file: - access_level: open_access checksum: 1322b652d6ab07eb5248298a3f91c1cf content_type: application/pdf creator: system date_created: 2018-12-12T11:54:24Z date_updated: 2020-07-14T12:46:40Z file_id: '5546' file_name: IST-2011-0006_IST-2011-0006.pdf file_size: 335997 relation: main_file file_date_updated: 2020-07-14T12:46:40Z has_accepted_license: '1' language: - iso: eng month: '06' oa: 1 oa_version: Published Version page: '18' publication_identifier: issn: - 2664-1690 publication_status: published publisher: IST Austria pubrep_id: '18' related_material: record: - id: '3341' relation: later_version status: public status: public title: Robustness of structurally equivalent concurrent parity games type: technical_report user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87 year: '2011' ... --- _id: '5385' abstract: - lang: eng text: There is recently a significant effort to add quantitative objectives to formal verification and synthesis. We introduce and investigate the extension of temporal logics with quantitative atomic assertions, aiming for a general and flexible framework for quantitative-oriented specifications. In the heart of quantitative objectives lies the accumulation of values along a computation. It is either the accumulated summation, as with the energy objectives, or the accumulated average, as with the 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 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 of time. We also allow the path-accumulation assertions LimInfAvg(v) ≥ c and LimSupAvg(v) ≥ c, referring to the average value along an entire computation. We study the border of decidability for 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 by prefix-accumulation assertions and extending LTL with path-accumulation assertions, result in temporal logics whose model-checking problem is decidable. The extended logics allow to significantly extend the currently known energy and mean-payoff objectives. Moreover, the prefix-accumulation assertions may be refined 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 the fragment we point to is, in a sense, the maximal logic whose extension with prefix-accumulation assertions permits a decidable model-checking procedure. Extending a temporal logic that has the EG or EU modalities, and in particular CTL and LTL, makes the problem undecidable. alternative_title: - IST Austria Technical Report 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. IST Austria; 2011. doi:10.15479/AT:IST-2011-0003 apa: Boker, U., Chatterjee, K., Henzinger, T. A., & Kupferman, O. (2011). Temporal specifications with accumulative values. IST Austria. https://doi.org/10.15479/AT:IST-2011-0003 chicago: Boker, Udi, Krishnendu Chatterjee, Thomas A Henzinger, and Orna Kupferman. Temporal Specifications with Accumulative Values. IST Austria, 2011. https://doi.org/10.15479/AT:IST-2011-0003. ieee: U. Boker, K. Chatterjee, T. A. Henzinger, and O. Kupferman, Temporal specifications with accumulative values. IST Austria, 2011. ista: Boker U, Chatterjee K, Henzinger TA, Kupferman O. 2011. Temporal specifications with accumulative values, IST Austria, 14p. mla: Boker, Udi, et al. Temporal Specifications with Accumulative Values. IST Austria, 2011, doi:10.15479/AT:IST-2011-0003. short: U. Boker, K. Chatterjee, T.A. Henzinger, O. Kupferman, Temporal Specifications with Accumulative Values, IST Austria, 2011. date_created: 2018-12-12T11:39:02Z date_published: 2011-04-04T00:00:00Z date_updated: 2023-02-23T11:23:41Z day: '04' ddc: - '000' - '004' department: - _id: ToHe - _id: KrCh doi: 10.15479/AT:IST-2011-0003 ec_funded: 1 file: - access_level: open_access checksum: 8491d0d48c4911620ecd5350b413c11e content_type: application/pdf creator: system date_created: 2018-12-12T11:53:00Z date_updated: 2020-07-14T12:46:41Z file_id: '5461' file_name: IST-2011-0003_IST-2011-0003.pdf file_size: 366281 relation: main_file file_date_updated: 2020-07-14T12:46:41Z has_accepted_license: '1' language: - iso: eng month: '04' oa: 1 oa_version: Published Version page: '14' project: - _id: 25832EC2-B435-11E9-9278-68D0E5697425 call_identifier: FWF grant_number: S 11407_N23 name: Rigorous Systems Engineering - _id: 25EFB36C-B435-11E9-9278-68D0E5697425 call_identifier: FP7 grant_number: '215543' name: COMponent-Based Embedded Systems design Techniques - _id: 25EE3708-B435-11E9-9278-68D0E5697425 call_identifier: FP7 grant_number: '267989' name: Quantitative Reactive Modeling - _id: 25F1337C-B435-11E9-9278-68D0E5697425 call_identifier: FP7 grant_number: '214373' name: Design for Embedded Systems - _id: 2587B514-B435-11E9-9278-68D0E5697425 name: Microsoft Research Faculty Fellowship publication_identifier: issn: - 2664-1690 publication_status: published publisher: IST Austria pubrep_id: '21' related_material: record: - id: '2038' relation: later_version status: public - id: '3356' relation: later_version status: public status: public title: Temporal specifications with accumulative values type: technical_report user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87 year: '2011' ...