--- _id: '12767' abstract: - lang: eng text: "Several problems in planning and reactive synthesis can be reduced to the analysis of two-player quantitative graph games. Optimization is one form of analysis. We argue that in many cases it may be better to replace the optimization problem with the satisficing problem, where instead of searching for optimal solutions, the goal is to search for solutions that adhere to a given threshold bound.\r\nThis work defines and investigates the satisficing problem on a two-player graph game with the discounted-sum cost model. We show that while the satisficing problem can be solved using numerical methods just like the optimization problem, this approach does not render compelling benefits over optimization. When the discount factor is, however, an integer, we present another approach to satisficing, which is purely based on automata methods. We show that this approach is algorithmically more performant – both theoretically and empirically – and demonstrates the broader applicability of satisficing over optimization." acknowledgement: We thank anonymous reviewers for valuable inputs. This work is supported in part by NSF grant 2030859 to the CRA for the CIFellows Project, NSF grants IIS-1527668, CCF-1704883, IIS-1830549, the ERC CoG 863818 (ForM-SMArt), and an award from the Maryland Procurement Office. alternative_title: - LNCS article_processing_charge: No arxiv: 1 author: - first_name: Suguman full_name: Bansal, Suguman last_name: Bansal - first_name: Krishnendu full_name: Chatterjee, Krishnendu id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87 last_name: Chatterjee orcid: 0000-0002-4561-241X - first_name: Moshe Y. full_name: Vardi, Moshe Y. last_name: Vardi citation: ama: 'Bansal S, Chatterjee K, Vardi MY. On satisficing in quantitative games. In: 27th International Conference on Tools and Algorithms for the Construction and Analysis of Systems. Vol 12651. Springer Nature; 2021:20-37. doi:10.1007/978-3-030-72016-2_2' apa: 'Bansal, S., Chatterjee, K., & Vardi, M. Y. (2021). On satisficing in quantitative games. In 27th International Conference on Tools and Algorithms for the Construction and Analysis of Systems (Vol. 12651, pp. 20–37). Luxembourg City, Luxembourg: Springer Nature. https://doi.org/10.1007/978-3-030-72016-2_2' chicago: Bansal, Suguman, Krishnendu Chatterjee, and Moshe Y. Vardi. “On Satisficing in Quantitative Games.” In 27th International Conference on Tools and Algorithms for the Construction and Analysis of Systems, 12651:20–37. Springer Nature, 2021. https://doi.org/10.1007/978-3-030-72016-2_2. ieee: S. Bansal, K. Chatterjee, and M. Y. Vardi, “On satisficing in quantitative games,” in 27th International Conference on Tools and Algorithms for the Construction and Analysis of Systems, Luxembourg City, Luxembourg, 2021, vol. 12651, pp. 20–37. ista: 'Bansal S, Chatterjee K, Vardi MY. 2021. On satisficing in quantitative games. 27th International Conference on Tools and Algorithms for the Construction and Analysis of Systems. TACAS: Tools and Algorithms for the Construction and Analysis of Systems, LNCS, vol. 12651, 20–37.' mla: Bansal, Suguman, et al. “On Satisficing in Quantitative Games.” 27th International Conference on Tools and Algorithms for the Construction and Analysis of Systems, vol. 12651, Springer Nature, 2021, pp. 20–37, doi:10.1007/978-3-030-72016-2_2. short: S. Bansal, K. Chatterjee, M.Y. Vardi, in:, 27th International Conference on Tools and Algorithms for the Construction and Analysis of Systems, Springer Nature, 2021, pp. 20–37. conference: end_date: 2021-04-01 location: Luxembourg City, Luxembourg name: 'TACAS: Tools and Algorithms for the Construction and Analysis of Systems' start_date: 2021-03-27 date_created: 2023-03-26T22:01:09Z date_published: 2021-03-21T00:00:00Z date_updated: 2025-07-10T13:18:02Z day: '21' ddc: - '000' department: - _id: KrCh doi: 10.1007/978-3-030-72016-2_2 ec_funded: 1 external_id: arxiv: - '2101.02594' file: - access_level: open_access checksum: b020b78b23587ce7610b1aafb4e63438 content_type: application/pdf creator: dernst date_created: 2023-03-28T11:00:33Z date_updated: 2023-03-28T11:00:33Z file_id: '12777' file_name: 2021_LNCS_Bansal.pdf file_size: 747418 relation: main_file success: 1 file_date_updated: 2023-03-28T11:00:33Z has_accepted_license: '1' intvolume: ' 12651' language: - iso: eng month: '03' oa: 1 oa_version: Published Version page: 20-37 project: - _id: 0599E47C-7A3F-11EA-A408-12923DDC885E call_identifier: H2020 grant_number: '863818' name: 'Formal Methods for Stochastic Models: Algorithms and Applications' publication: 27th International Conference on Tools and Algorithms for the Construction and Analysis of Systems publication_identifier: eissn: - 1611-3349 isbn: - '9783030720155' issn: - 0302-9743 publication_status: published publisher: Springer Nature quality_controlled: '1' scopus_import: '1' status: public title: On satisficing in quantitative games tmp: image: /images/cc_by.png legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0) short: CC BY (4.0) type: conference user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87 volume: 12651 year: '2021' ... --- _id: '15284' abstract: - lang: eng text: "RevTerm is a static analysis tool for proving non-termination of integer C programs (possibly with non-determinism). RevTerm is an implementation of our method for non-termination proving presented in the paper “Proving Non-termination by Program Reversal”.\r\n\r\n" article_processing_charge: No author: - first_name: Krishnendu full_name: Chatterjee, Krishnendu id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87 last_name: Chatterjee orcid: 0000-0002-4561-241X - first_name: Ehsan Kafshdar full_name: Goharshady, Ehsan Kafshdar last_name: Goharshady - first_name: Petr full_name: Novotný, Petr id: 3CC3B868-F248-11E8-B48F-1D18A9856A87 last_name: Novotný - first_name: Dorde full_name: Zikelic, Dorde id: 294AA7A6-F248-11E8-B48F-1D18A9856A87 last_name: Zikelic orcid: 0000-0002-4681-1699 citation: ama: Chatterjee K, Goharshady EK, Novotný P, Zikelic D. RevTerm. 2021. doi:10.1145/3410304 apa: Chatterjee, K., Goharshady, E. K., Novotný, P., & Zikelic, D. (2021). RevTerm. Association for Computing Machinery. https://doi.org/10.1145/3410304 chicago: Chatterjee, Krishnendu, Ehsan Kafshdar Goharshady, Petr Novotný, and Dorde Zikelic. “RevTerm.” Association for Computing Machinery, 2021. https://doi.org/10.1145/3410304. ieee: K. Chatterjee, E. K. Goharshady, P. Novotný, and D. Zikelic, “RevTerm.” Association for Computing Machinery, 2021. ista: Chatterjee K, Goharshady EK, Novotný P, Zikelic D. 2021. RevTerm, Association for Computing Machinery, 10.1145/3410304. mla: Chatterjee, Krishnendu, et al. RevTerm. Association for Computing Machinery, 2021, doi:10.1145/3410304. short: K. Chatterjee, E.K. Goharshady, P. Novotný, D. Zikelic, (2021). corr_author: '1' date_created: 2024-04-03T09:00:42Z date_published: 2021-06-01T00:00:00Z date_updated: 2025-04-15T06:25:30Z day: '01' ddc: - '000' department: - _id: KrCh doi: 10.1145/3410304 has_accepted_license: '1' main_file_link: - open_access: '1' url: https://doi.org/10.1145/3410304 month: '06' oa: 1 oa_version: Published Version publisher: Association for Computing Machinery related_material: record: - id: '9644' relation: used_in_publication status: public status: public title: RevTerm type: research_data_reference user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87 year: '2021' ... --- _id: '10052' abstract: - lang: eng text: "A deterministic finite automaton (DFA) \U0001D49C is composite if its language L(\U0001D49C) can be decomposed into an intersection ⋂_{i = 1}^k L(\U0001D49C_i) of languages of smaller DFAs. Otherwise, \U0001D49C is prime. This notion of primality was introduced by Kupferman and Mosheiff in 2013, and while they proved that we can decide whether a DFA is composite, the precise complexity of this problem is still open, with a doubly-exponential gap between the upper and lower bounds. In this work, we focus on permutation DFAs, i.e., those for which the transition monoid is a group. We provide an NP algorithm to decide whether a permutation DFA is composite, and show that the difficulty of this problem comes from the number of non-accepting states of the instance: we give a fixed-parameter tractable algorithm with the number of rejecting states as the parameter. Moreover, we investigate the class of commutative permutation DFAs. Their structural properties allow us to decide compositionality in NL, and even in LOGSPACE if the alphabet size is fixed. Despite this low complexity, we show that complex behaviors still arise in this class: we provide a family of composite DFAs each requiring polynomially many factors with respect to its size. We also consider the variant of the problem that asks whether a DFA is k-factor composite, that is, decomposable into k smaller DFAs, for some given integer k ∈ ℕ. We show that, for commutative permutation DFAs, restricting the number of factors makes the decision computationally harder, and yields a problem with tight bounds: it is NP-complete. Finally, we show that in general, this problem is in PSPACE, and it is in LOGSPACE for DFAs with a singleton alphabet." acknowledgement: "Ismaël Jecker: Marie Skłodowska-Curie Grant Agreement No. 754411. Nicolas Mazzocchi: BOSCO project PGC2018-102210-B-I00 (MCIU/AEI/FEDER, UE), BLOQUESCM project S2018/TCS-4339, and MINECO grant RYC-2016-20281.\r\nPetra Wolf : DFG project FE 560/9-1.\r\n" alternative_title: - LIPIcs article_number: '18' article_processing_charge: No arxiv: 1 author: - first_name: Ismael R full_name: Jecker, Ismael R id: 85D7C63E-7D5D-11E9-9C0F-98C4E5697425 last_name: Jecker - first_name: Nicolas full_name: Mazzocchi, Nicolas last_name: Mazzocchi - first_name: Petra full_name: Wolf, Petra last_name: Wolf citation: ama: 'Jecker IR, Mazzocchi N, Wolf P. Decomposing permutation automata. In: 32nd International Conference on Concurrency Theory. Vol 203. Schloss Dagstuhl - Leibniz-Zentrum für Informatik; 2021. doi:10.4230/LIPIcs.CONCUR.2021.18' apa: 'Jecker, I. R., Mazzocchi, N., & Wolf, P. (2021). Decomposing permutation automata. In 32nd International Conference on Concurrency Theory (Vol. 203). Paris, France: Schloss Dagstuhl - Leibniz-Zentrum für Informatik. https://doi.org/10.4230/LIPIcs.CONCUR.2021.18' chicago: Jecker, Ismael R, Nicolas Mazzocchi, and Petra Wolf. “Decomposing Permutation Automata.” In 32nd International Conference on Concurrency Theory, Vol. 203. Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2021. https://doi.org/10.4230/LIPIcs.CONCUR.2021.18. ieee: I. R. Jecker, N. Mazzocchi, and P. Wolf, “Decomposing permutation automata,” in 32nd International Conference on Concurrency Theory, Paris, France, 2021, vol. 203. ista: 'Jecker IR, Mazzocchi N, Wolf P. 2021. Decomposing permutation automata. 32nd International Conference on Concurrency Theory. CONCUR: Conference on Concurrency Theory, LIPIcs, vol. 203, 18.' mla: Jecker, Ismael R., et al. “Decomposing Permutation Automata.” 32nd International Conference on Concurrency Theory, vol. 203, 18, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2021, doi:10.4230/LIPIcs.CONCUR.2021.18. short: I.R. Jecker, N. Mazzocchi, P. Wolf, in:, 32nd International Conference on Concurrency Theory, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2021. conference: end_date: 2021-08-27 location: Paris, France name: 'CONCUR: Conference on Concurrency Theory' start_date: 2021-08-23 date_created: 2021-09-27T14:33:14Z date_published: 2021-08-13T00:00:00Z date_updated: 2025-05-14T10:55:28Z day: '13' ddc: - '000' department: - _id: KrCh doi: 10.4230/LIPIcs.CONCUR.2021.18 ec_funded: 1 external_id: arxiv: - '2107.04683' file: - access_level: open_access checksum: 4722c81be82265cf45e78adf9db91250 content_type: application/pdf creator: cchlebak date_created: 2021-10-01T11:10:53Z date_updated: 2021-10-01T11:10:53Z file_id: '10064' file_name: 2021_CONCUR_Jecker.pdf file_size: 1003552 relation: main_file success: 1 file_date_updated: 2021-10-01T11:10:53Z has_accepted_license: '1' intvolume: ' 203' language: - iso: eng month: '08' oa: 1 oa_version: Published Version project: - _id: 260C2330-B435-11E9-9278-68D0E5697425 call_identifier: H2020 grant_number: '754411' name: ISTplus - Postdoctoral Fellowships publication: 32nd International Conference on Concurrency Theory publication_identifier: isbn: - 978-3-9597-7203-7 issn: - 1868-8969 publication_status: published publisher: Schloss Dagstuhl - Leibniz-Zentrum für Informatik quality_controlled: '1' scopus_import: '1' status: public title: Decomposing permutation automata tmp: image: /images/cc_by.png legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0) short: CC BY (4.0) type: conference user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87 volume: 203 year: '2021' ... --- _id: '10054' abstract: - lang: eng text: 'Graphs and games on graphs are fundamental models for the analysis of reactive systems, in particular, for model-checking and the synthesis of reactive systems. The class of ω-regular languages provides a robust specification formalism for the desired properties of reactive systems. In the classical infinitary formulation of the liveness part of an ω-regular specification, a "good" event must happen eventually without any bound between the good events. A stronger notion of liveness is bounded liveness, which requires that good events happen within d transitions. Given a graph or a game graph with n vertices, m edges, and a bounded liveness objective, the previous best-known algorithmic bounds are as follows: (i) O(dm) for graphs, which in the worst-case is O(n³); and (ii) O(n² d²) for games on graphs. Our main contributions improve these long-standing algorithmic bounds. For graphs we present: (i) a randomized algorithm with one-sided error with running time O(n^{2.5} log n) for the bounded liveness objectives; and (ii) a deterministic linear-time algorithm for the complement of bounded liveness objectives. For games on graphs, we present an O(n² d) time algorithm for the bounded liveness objectives.' acknowledgement: 'Krishnendu Chatterjee: Supported by the ERC CoG 863818 (ForM-SMArt). Monika Henzinger: Supported by the Austrian Science Fund (FWF) and netIDEE SCIENCE project P 33775-N. Sagar Sudhir Kale: Partially supported by the Vienna Science and Technology Fund (WWTF) through project ICT15-003. Alexander Svozil: Fully supported by the Vienna Science and Technology Fund (WWTF) through project ICT15-003.' alternative_title: - LIPIcs article_number: '124' 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 - first_name: Sagar Sudhir full_name: Kale, Sagar Sudhir last_name: Kale - first_name: Alexander full_name: Svozil, Alexander last_name: Svozil citation: ama: 'Chatterjee K, Henzinger M, Kale SS, Svozil A. Faster algorithms for bounded liveness in graphs and game graphs. In: 48th International Colloquium on Automata, Languages, and Programming. Vol 198. Schloss Dagstuhl - Leibniz-Zentrum für Informatik; 2021. doi:10.4230/LIPIcs.ICALP.2021.124' apa: 'Chatterjee, K., Henzinger, M., Kale, S. S., & Svozil, A. (2021). Faster algorithms for bounded liveness in graphs and game graphs. In 48th International Colloquium on Automata, Languages, and Programming (Vol. 198). Glasgow, Scotland: Schloss Dagstuhl - Leibniz-Zentrum für Informatik. https://doi.org/10.4230/LIPIcs.ICALP.2021.124' chicago: Chatterjee, Krishnendu, Monika Henzinger, Sagar Sudhir Kale, and Alexander Svozil. “Faster Algorithms for Bounded Liveness in Graphs and Game Graphs.” In 48th International Colloquium on Automata, Languages, and Programming, Vol. 198. Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2021. https://doi.org/10.4230/LIPIcs.ICALP.2021.124. ieee: K. Chatterjee, M. Henzinger, S. S. Kale, and A. Svozil, “Faster algorithms for bounded liveness in graphs and game graphs,” in 48th International Colloquium on Automata, Languages, and Programming, Glasgow, Scotland, 2021, vol. 198. ista: 'Chatterjee K, Henzinger M, Kale SS, Svozil A. 2021. Faster algorithms for bounded liveness in graphs and game graphs. 48th International Colloquium on Automata, Languages, and Programming. ICALP: Automata, Languages and Programming, LIPIcs, vol. 198, 124.' mla: Chatterjee, Krishnendu, et al. “Faster Algorithms for Bounded Liveness in Graphs and Game Graphs.” 48th International Colloquium on Automata, Languages, and Programming, vol. 198, 124, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2021, doi:10.4230/LIPIcs.ICALP.2021.124. short: K. Chatterjee, M. Henzinger, S.S. Kale, A. Svozil, in:, 48th International Colloquium on Automata, Languages, and Programming, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2021. conference: end_date: 2021-07-16 location: Glasgow, Scotland name: 'ICALP: Automata, Languages and Programming' start_date: 2021-07-12 corr_author: '1' date_created: 2021-09-27T14:33:15Z date_published: 2021-07-02T00:00:00Z date_updated: 2025-05-14T10:55:19Z day: '02' ddc: - '000' department: - _id: KrCh doi: 10.4230/LIPIcs.ICALP.2021.124 ec_funded: 1 file: - access_level: open_access checksum: 5a3fed8dbba8c088cbeac1e24cc10bc5 content_type: application/pdf creator: cchlebak date_created: 2021-10-01T08:49:26Z date_updated: 2021-10-01T08:49:26Z file_id: '10062' file_name: 2021_LIPIcs_Chatterjee.pdf file_size: 854576 relation: main_file success: 1 file_date_updated: 2021-10-01T08:49:26Z has_accepted_license: '1' intvolume: ' 198' language: - iso: eng month: '07' oa: 1 oa_version: Published Version project: - _id: 0599E47C-7A3F-11EA-A408-12923DDC885E call_identifier: H2020 grant_number: '863818' name: 'Formal Methods for Stochastic Models: Algorithms and Applications' publication: 48th International Colloquium on Automata, Languages, and Programming publication_identifier: isbn: - 978-3-95977-195-5 issn: - 1868-8969 publication_status: published publisher: Schloss Dagstuhl - Leibniz-Zentrum für Informatik quality_controlled: '1' scopus_import: '1' status: public title: Faster algorithms for bounded liveness in graphs and game graphs tmp: image: /images/cc_by.png legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0) short: CC BY (4.0) type: conference user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87 volume: 198 year: '2021' ... --- _id: '10055' abstract: - lang: eng text: "Repeated idempotent elements are commonly used to characterise iterable behaviours in abstract models of computation. Therefore, given a monoid M, it is natural to ask how long a sequence of elements of M needs to be to ensure the presence of consecutive idempotent factors. This question is formalised through the notion of the Ramsey function R_M associated to M, obtained by mapping every k ∈ ℕ to the minimal integer R_M(k) such that every word u ∈ M^* of length R_M(k) contains k consecutive non-empty factors that correspond to the same idempotent element of M. In this work, we study the behaviour of the Ramsey function R_M by investigating the regular \U0001D49F-length of M, defined as the largest size L(M) of a submonoid of M isomorphic to the set of natural numbers {1,2, …, L(M)} equipped with the max operation. We show that the regular \U0001D49F-length of M determines the degree of R_M, by proving that k^L(M) ≤ R_M(k) ≤ (k|M|⁴)^L(M). To allow applications of this result, we provide the value of the regular \U0001D49F-length of diverse monoids. In particular, we prove that the full monoid of n × n Boolean matrices, which is used to express transition monoids of non-deterministic automata, has a regular \U0001D49F-length of (n²+n+2)/2." acknowledgement: This project has received funding from the European Union’s Horizon 2020 research and innovation programme under the Marie Skłodowska-Curie Grant Agreement No. 754411. I wish to thank Michaël Cadilhac, Emmanuel Filiot and Charles Paperman for their valuable insights concerning Green’s relations. alternative_title: - LIPIcs article_number: '44' article_processing_charge: No author: - first_name: Ismael R full_name: Jecker, Ismael R id: 85D7C63E-7D5D-11E9-9C0F-98C4E5697425 last_name: Jecker citation: ama: 'Jecker IR. A Ramsey theorem for finite monoids. In: 38th International Symposium on Theoretical Aspects of Computer Science. Vol 187. Schloss Dagstuhl - Leibniz-Zentrum für Informatik; 2021. doi:10.4230/LIPIcs.STACS.2021.44' apa: 'Jecker, I. R. (2021). A Ramsey theorem for finite monoids. In 38th International Symposium on Theoretical Aspects of Computer Science (Vol. 187). Saarbrücken, Germany: Schloss Dagstuhl - Leibniz-Zentrum für Informatik. https://doi.org/10.4230/LIPIcs.STACS.2021.44' chicago: Jecker, Ismael R. “A Ramsey Theorem for Finite Monoids.” In 38th International Symposium on Theoretical Aspects of Computer Science, Vol. 187. Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2021. https://doi.org/10.4230/LIPIcs.STACS.2021.44. ieee: I. R. Jecker, “A Ramsey theorem for finite monoids,” in 38th International Symposium on Theoretical Aspects of Computer Science, Saarbrücken, Germany, 2021, vol. 187. ista: 'Jecker IR. 2021. A Ramsey theorem for finite monoids. 38th International Symposium on Theoretical Aspects of Computer Science. STACS: Symposium on Theoretical Aspects of Computer Science, LIPIcs, vol. 187, 44.' mla: Jecker, Ismael R. “A Ramsey Theorem for Finite Monoids.” 38th International Symposium on Theoretical Aspects of Computer Science, vol. 187, 44, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2021, doi:10.4230/LIPIcs.STACS.2021.44. short: I.R. Jecker, in:, 38th International Symposium on Theoretical Aspects of Computer Science, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2021. conference: end_date: 2021-03-19 location: Saarbrücken, Germany name: 'STACS: Symposium on Theoretical Aspects of Computer Science' start_date: 2021-03-16 date_created: 2021-09-27T14:33:15Z date_published: 2021-03-10T00:00:00Z date_updated: 2025-05-14T10:55:11Z day: '10' ddc: - '000' department: - _id: KrCh doi: 10.4230/LIPIcs.STACS.2021.44 ec_funded: 1 external_id: isi: - '000635691700044' file: - access_level: open_access checksum: 17432a05733f408de300e17e390a90e4 content_type: application/pdf creator: cchlebak date_created: 2021-10-01T09:55:00Z date_updated: 2021-10-01T09:55:00Z file_id: '10063' file_name: 2021_LIPIcs_Jecker.pdf file_size: 720250 relation: main_file success: 1 file_date_updated: 2021-10-01T09:55:00Z has_accepted_license: '1' intvolume: ' 187' isi: 1 language: - iso: eng month: '03' oa: 1 oa_version: Published Version project: - _id: 260C2330-B435-11E9-9278-68D0E5697425 call_identifier: H2020 grant_number: '754411' name: ISTplus - Postdoctoral Fellowships publication: 38th International Symposium on Theoretical Aspects of Computer Science publication_identifier: isbn: - 978-3-9597-7180-1 issn: - 1868-8969 publication_status: published publisher: Schloss Dagstuhl - Leibniz-Zentrum für Informatik quality_controlled: '1' scopus_import: '1' status: public title: A Ramsey theorem for finite monoids tmp: image: /images/cc_by.png legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0) short: CC BY (4.0) type: conference user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87 volume: 187 year: '2021' ... --- _id: '10075' abstract: - lang: eng text: We study the expressiveness and succinctness of good-for-games pushdown automata (GFG-PDA) over finite words, that is, pushdown automata whose nondeterminism can be resolved based on the run constructed so far, but independently of the remainder of the input word. We prove that GFG-PDA recognise more languages than deterministic PDA (DPDA) but not all context-free languages (CFL). This class is orthogonal to unambiguous CFL. We further show that GFG-PDA can be exponentially more succinct than DPDA, while PDA can be double-exponentially more succinct than GFG-PDA. We also study GFGness in visibly pushdown automata (VPA), which enjoy better closure properties than PDA, and for which we show GFGness to be ExpTime-complete. GFG-VPA can be exponentially more succinct than deterministic VPA, while VPA can be exponentially more succinct than GFG-VPA. Both of these lower bounds are tight. Finally, we study the complexity of resolving nondeterminism in GFG-PDA. Every GFG-PDA has a positional resolver, a function that resolves nondeterminism and that is only dependant on the current configuration. Pushdown transducers are sufficient to implement the resolvers of GFG-VPA, but not those of GFG-PDA. GFG-PDA with finite-state resolvers are determinisable. acknowledgement: 'Ismaël Jecker: Funded by the European Union’s Horizon 2020 research and innovation programme under the Marie Skłodowska-Curie grant agreement No 754411. Karoliina Lehtinen: Funded by the European Union’s Horizon 2020 research and innovation programme under the Marie Skłodowska-Curie grant agreement No 892704.' alternative_title: - LIPIcs article_number: '53' article_processing_charge: No arxiv: 1 author: - first_name: Shibashis full_name: Guha, Shibashis last_name: Guha - first_name: Ismael R full_name: Jecker, Ismael R id: 85D7C63E-7D5D-11E9-9C0F-98C4E5697425 last_name: Jecker - first_name: Karoliina full_name: Lehtinen, Karoliina last_name: Lehtinen - first_name: Martin full_name: Zimmermann, Martin last_name: Zimmermann citation: ama: 'Guha S, Jecker IR, Lehtinen K, Zimmermann M. A bit of nondeterminism makes pushdown automata expressive and succinct. In: 46th International Symposium on Mathematical Foundations of Computer Science. Vol 202. Schloss Dagstuhl - Leibniz-Zentrum für Informatik; 2021. doi:10.4230/LIPIcs.MFCS.2021.53' apa: 'Guha, S., Jecker, I. R., Lehtinen, K., & Zimmermann, M. (2021). A bit of nondeterminism makes pushdown automata expressive and succinct. In 46th International Symposium on Mathematical Foundations of Computer Science (Vol. 202). Tallinn, Estonia: Schloss Dagstuhl - Leibniz-Zentrum für Informatik. https://doi.org/10.4230/LIPIcs.MFCS.2021.53' chicago: Guha, Shibashis, Ismael R Jecker, Karoliina Lehtinen, and Martin Zimmermann. “A Bit of Nondeterminism Makes Pushdown Automata Expressive and Succinct.” In 46th International Symposium on Mathematical Foundations of Computer Science, Vol. 202. Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2021. https://doi.org/10.4230/LIPIcs.MFCS.2021.53. ieee: S. Guha, I. R. Jecker, K. Lehtinen, and M. Zimmermann, “A bit of nondeterminism makes pushdown automata expressive and succinct,” in 46th International Symposium on Mathematical Foundations of Computer Science, Tallinn, Estonia, 2021, vol. 202. ista: 'Guha S, Jecker IR, Lehtinen K, Zimmermann M. 2021. A bit of nondeterminism makes pushdown automata expressive and succinct. 46th International Symposium on Mathematical Foundations of Computer Science. MFCS: Mathematical Foundations of Computer Science, LIPIcs, vol. 202, 53.' mla: Guha, Shibashis, et al. “A Bit of Nondeterminism Makes Pushdown Automata Expressive and Succinct.” 46th International Symposium on Mathematical Foundations of Computer Science, vol. 202, 53, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2021, doi:10.4230/LIPIcs.MFCS.2021.53. short: S. Guha, I.R. Jecker, K. Lehtinen, M. Zimmermann, in:, 46th International Symposium on Mathematical Foundations of Computer Science, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2021. conference: end_date: 2021-08-27 location: Tallinn, Estonia name: 'MFCS: Mathematical Foundations of Computer Science' start_date: 2021-08-23 date_created: 2021-10-03T22:01:23Z date_published: 2021-08-18T00:00:00Z date_updated: 2025-05-14T10:54:50Z day: '18' ddc: - '000' department: - _id: KrCh doi: 10.4230/LIPIcs.MFCS.2021.53 ec_funded: 1 external_id: arxiv: - '2105.02611' file: - access_level: open_access checksum: f4d407d43a97330c3fb11e6a7a6fbfb2 content_type: application/pdf creator: cchlebak date_created: 2021-10-06T12:44:05Z date_updated: 2021-10-06T12:44:05Z file_id: '10097' file_name: 2021_LIPIcs_Guha.pdf file_size: 825567 relation: main_file success: 1 file_date_updated: 2021-10-06T12:44:05Z has_accepted_license: '1' intvolume: ' 202' language: - iso: eng month: '08' oa: 1 oa_version: Published Version project: - _id: 260C2330-B435-11E9-9278-68D0E5697425 call_identifier: H2020 grant_number: '754411' name: ISTplus - Postdoctoral Fellowships publication: 46th International Symposium on Mathematical Foundations of Computer Science publication_identifier: isbn: - 978-3-9597-7201-3 issn: - 1868-8969 publication_status: published publisher: Schloss Dagstuhl - Leibniz-Zentrum für Informatik quality_controlled: '1' scopus_import: '1' status: public title: A bit of nondeterminism makes pushdown automata expressive and succinct tmp: image: /images/cc_by.png legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0) short: CC BY (4.0) type: conference user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87 volume: 202 year: '2021' ... --- _id: '10191' abstract: - lang: eng text: "In this work we solve the algorithmic problem of consistency verification for the TSO and PSO memory models given a reads-from map, denoted VTSO-rf and VPSO-rf, respectively. For an execution of n events over k threads and d variables, we establish novel bounds that scale as nk+1 for TSO and as nk+1· min(nk2, 2k· d) for PSO. Moreover, based on our solution to these problems, we develop an SMC algorithm under TSO and PSO that uses the RF equivalence. The algorithm is exploration-optimal, in the sense that it is guaranteed to explore each class of the RF partitioning exactly once, and spends polynomial time per class when k is bounded. Finally, we implement all our algorithms in the SMC tool Nidhugg, and perform a large number of experiments over benchmarks from existing literature. Our experimental results show that our algorithms for VTSO-rf and VPSO-rf provide significant scalability improvements over standard alternatives. Moreover, when used for SMC, the RF partitioning is often much coarser than the standard Shasha-Snir partitioning for TSO/PSO, which yields a significant speedup in the model checking task.\r\n\r\n" acknowledgement: "The research was partially funded by the ERC CoG 863818 (ForM-SMArt) and the Vienna Science\r\nand Technology Fund (WWTF) through project ICT15-003." article_number: '164' article_processing_charge: No article_type: original arxiv: 1 author: - first_name: Truc Lam full_name: Bui, Truc Lam last_name: Bui - first_name: Krishnendu full_name: Chatterjee, Krishnendu id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87 last_name: Chatterjee orcid: 0000-0002-4561-241X - first_name: Tushar full_name: Gautam, Tushar last_name: Gautam - first_name: Andreas full_name: Pavlogiannis, Andreas id: 49704004-F248-11E8-B48F-1D18A9856A87 last_name: Pavlogiannis orcid: 0000-0002-8943-0722 - first_name: Viktor full_name: Toman, Viktor id: 3AF3DA7C-F248-11E8-B48F-1D18A9856A87 last_name: Toman orcid: 0000-0001-9036-063X citation: ama: Bui TL, Chatterjee K, Gautam T, Pavlogiannis A, Toman V. The reads-from equivalence for the TSO and PSO memory models. Proceedings of the ACM on Programming Languages. 2021;5(OOPSLA). doi:10.1145/3485541 apa: Bui, T. L., Chatterjee, K., Gautam, T., Pavlogiannis, A., & Toman, V. (2021). The reads-from equivalence for the TSO and PSO memory models. Proceedings of the ACM on Programming Languages. Association for Computing Machinery. https://doi.org/10.1145/3485541 chicago: Bui, Truc Lam, Krishnendu Chatterjee, Tushar Gautam, Andreas Pavlogiannis, and Viktor Toman. “The Reads-from Equivalence for the TSO and PSO Memory Models.” Proceedings of the ACM on Programming Languages. Association for Computing Machinery, 2021. https://doi.org/10.1145/3485541. ieee: T. L. Bui, K. Chatterjee, T. Gautam, A. Pavlogiannis, and V. Toman, “The reads-from equivalence for the TSO and PSO memory models,” Proceedings of the ACM on Programming Languages, vol. 5, no. OOPSLA. Association for Computing Machinery, 2021. ista: Bui TL, Chatterjee K, Gautam T, Pavlogiannis A, Toman V. 2021. The reads-from equivalence for the TSO and PSO memory models. Proceedings of the ACM on Programming Languages. 5(OOPSLA), 164. mla: Bui, Truc Lam, et al. “The Reads-from Equivalence for the TSO and PSO Memory Models.” Proceedings of the ACM on Programming Languages, vol. 5, no. OOPSLA, 164, Association for Computing Machinery, 2021, doi:10.1145/3485541. short: T.L. Bui, K. Chatterjee, T. Gautam, A. Pavlogiannis, V. Toman, Proceedings of the ACM on Programming Languages 5 (2021). date_created: 2021-10-27T15:05:34Z date_published: 2021-10-15T00:00:00Z date_updated: 2026-04-08T07:00:31Z day: '15' ddc: - '000' department: - _id: GradSch - _id: KrCh doi: 10.1145/3485541 ec_funded: 1 external_id: arxiv: - '2011.11763' file: - access_level: open_access checksum: 9d6dce7b611853c529bb7b1915ac579e content_type: application/pdf creator: cchlebak date_created: 2021-11-04T07:24:48Z date_updated: 2021-11-04T07:24:48Z file_id: '10215' file_name: 2021_ProcACMPL_Bui.pdf file_size: 2903485 relation: main_file success: 1 file_date_updated: 2021-11-04T07:24:48Z has_accepted_license: '1' intvolume: ' 5' issue: OOPSLA keyword: - safety - risk - reliability and quality - software language: - iso: eng month: '10' oa: 1 oa_version: Published Version project: - _id: 0599E47C-7A3F-11EA-A408-12923DDC885E call_identifier: H2020 grant_number: '863818' name: 'Formal Methods for Stochastic Models: Algorithms and Applications' - _id: 25892FC0-B435-11E9-9278-68D0E5697425 grant_number: ICT15-003 name: Efficient Algorithms for Computer Aided Verification publication: Proceedings of the ACM on Programming Languages publication_identifier: eissn: - 2475-1421 publication_status: published publisher: Association for Computing Machinery quality_controlled: '1' related_material: record: - id: '10199' relation: dissertation_contains status: public scopus_import: '1' status: public title: The reads-from equivalence for the TSO and PSO memory models tmp: image: /images/cc_by.png legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0) short: CC BY (4.0) type: journal_article user_id: 8b945eb4-e2f2-11eb-945a-df72226e66a9 volume: 5 year: '2021' ... --- OA_place: publisher _id: '10199' abstract: - lang: eng text: The design and verification of concurrent systems remains an open challenge due to the non-determinism that arises from the inter-process communication. In particular, concurrent programs are notoriously difficult both to be written correctly and to be analyzed formally, as complex thread interaction has to be accounted for. The difficulties are further exacerbated when concurrent programs get executed on modern-day hardware, which contains various buffering and caching mechanisms for efficiency reasons. This causes further subtle non-determinism, which can often produce very unintuitive behavior of the concurrent programs. Model checking is at the forefront of tackling the verification problem, where the task is to decide, given as input a concurrent system and a desired property, whether the system satisfies the property. The inherent state-space explosion problem in model checking of concurrent systems causes naïve explicit methods not to scale, thus more inventive methods are required. One such method is stateless model checking (SMC), which explores in memory-efficient manner the program executions rather than the states of the program. State-of-the-art SMC is typically coupled with partial order reduction (POR) techniques, which argue that certain executions provably produce identical system behavior, thus limiting the amount of executions one needs to explore in order to cover all possible behaviors. Another method to tackle the state-space explosion is symbolic model checking, where the considered techniques operate on a succinct implicit representation of the input system rather than explicitly accessing the system. In this thesis we present new techniques for verification of concurrent systems. We present several novel POR methods for SMC of concurrent programs under various models of semantics, some of which account for write-buffering mechanisms. Additionally, we present novel algorithms for symbolic model checking of finite-state concurrent systems, where the desired property of the systems is to ensure a formally defined notion of fairness. acknowledged_ssus: - _id: SSU alternative_title: - ISTA Thesis article_processing_charge: No author: - first_name: Viktor full_name: Toman, Viktor id: 3AF3DA7C-F248-11E8-B48F-1D18A9856A87 last_name: Toman orcid: 0000-0001-9036-063X citation: ama: Toman V. Improved verification techniques for concurrent systems. 2021. doi:10.15479/at:ista:10199 apa: Toman, V. (2021). Improved verification techniques for concurrent systems. Institute of Science and Technology Austria. https://doi.org/10.15479/at:ista:10199 chicago: Toman, Viktor. “Improved Verification Techniques for Concurrent Systems.” Institute of Science and Technology Austria, 2021. https://doi.org/10.15479/at:ista:10199. ieee: V. Toman, “Improved verification techniques for concurrent systems,” Institute of Science and Technology Austria, 2021. ista: Toman V. 2021. Improved verification techniques for concurrent systems. Institute of Science and Technology Austria. mla: Toman, Viktor. Improved Verification Techniques for Concurrent Systems. Institute of Science and Technology Austria, 2021, doi:10.15479/at:ista:10199. short: V. Toman, Improved Verification Techniques for Concurrent Systems, Institute of Science and Technology Austria, 2021. corr_author: '1' date_created: 2021-10-29T20:09:01Z date_published: 2021-10-31T00:00:00Z date_updated: 2026-04-08T07:00:31Z day: '31' ddc: - '000' degree_awarded: PhD department: - _id: GradSch - _id: KrCh doi: 10.15479/at:ista:10199 ec_funded: 1 file: - access_level: open_access checksum: 4f412a1ee60952221b499a4b1268df35 content_type: application/pdf creator: vtoman date_created: 2021-11-08T14:12:22Z date_updated: 2021-11-08T14:12:22Z file_id: '10225' file_name: toman_th_final.pdf file_size: 2915234 relation: main_file - access_level: closed checksum: 9584943f99127be2dd2963f6784c37d4 content_type: application/zip creator: vtoman date_created: 2021-11-08T14:12:46Z date_updated: 2021-11-09T09:00:50Z file_id: '10226' file_name: toman_thesis.zip file_size: 8616056 relation: source_file file_date_updated: 2021-11-09T09:00:50Z has_accepted_license: '1' keyword: - concurrency - verification - model checking language: - iso: eng month: '10' oa: 1 oa_version: Published Version page: '166' project: - _id: 2564DBCA-B435-11E9-9278-68D0E5697425 call_identifier: H2020 grant_number: '665385' name: International IST Doctoral Program - _id: 25F2ACDE-B435-11E9-9278-68D0E5697425 call_identifier: FWF grant_number: S11402-N23 name: Rigorous Systems Engineering - _id: 25892FC0-B435-11E9-9278-68D0E5697425 grant_number: ICT15-003 name: Efficient Algorithms for Computer Aided Verification - _id: 0599E47C-7A3F-11EA-A408-12923DDC885E call_identifier: H2020 grant_number: '863818' name: 'Formal Methods for Stochastic Models: Algorithms and Applications' publication_identifier: issn: - 2663-337X publication_status: published publisher: Institute of Science and Technology Austria related_material: record: - id: '9987' relation: part_of_dissertation status: public - id: '10191' relation: part_of_dissertation status: public - id: '141' relation: part_of_dissertation status: public - id: '10190' relation: part_of_dissertation status: public status: public supervisor: - first_name: Krishnendu full_name: Chatterjee, Krishnendu id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87 last_name: Chatterjee orcid: 0000-0002-4561-241X title: Improved verification techniques for concurrent systems type: dissertation user_id: ba8df636-2132-11f1-aed0-ed93e2281fdd year: '2021' ... --- _id: '10414' abstract: - lang: eng text: 'We consider the almost-sure (a.s.) termination problem for probabilistic programs, which are a stochastic extension of classical imperative programs. Lexicographic ranking functions provide a sound and practical approach for termination of non-probabilistic programs, and their extension to probabilistic programs is achieved via lexicographic ranking supermartingales (LexRSMs). However, LexRSMs introduced in the previous work have a limitation that impedes their automation: all of their components have to be non-negative in all reachable states. This might result in LexRSM not existing even for simple terminating programs. Our contributions are twofold: First, we introduce a generalization of LexRSMs which allows for some components to be negative. This standard feature of non-probabilistic termination proofs was hitherto not known to be sound in the probabilistic setting, as the soundness proof requires a careful analysis of the underlying stochastic process. Second, we present polynomial-time algorithms using our generalized LexRSMs for proving a.s. termination in broad classes of linear-arithmetic programs.' acknowledgement: This research was partially supported by the ERC CoG 863818 (ForM-SMArt), the Czech Science Foundation grant No. GJ19-15134Y, and the European Union’s Horizon 2020 research and innovation programme under the Marie Skłodowska-Curie Grant Agreement No. 665385. alternative_title: - LNCS article_processing_charge: No arxiv: 1 author: - first_name: Krishnendu full_name: Chatterjee, Krishnendu id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87 last_name: Chatterjee orcid: 0000-0002-4561-241X - first_name: Ehsan full_name: Kafshdar Goharshadi, Ehsan id: 103b4fa0-896a-11ed-bdf8-87b697bef40d last_name: Kafshdar Goharshadi orcid: 0000-0002-8595-0587 - first_name: Petr full_name: Novotný, Petr id: 3CC3B868-F248-11E8-B48F-1D18A9856A87 last_name: Novotný - first_name: Jiří full_name: Zárevúcky, Jiří last_name: Zárevúcky - first_name: Dorde full_name: Zikelic, Dorde id: 294AA7A6-F248-11E8-B48F-1D18A9856A87 last_name: Zikelic orcid: 0000-0002-4681-1699 citation: ama: 'Chatterjee K, Goharshady E, Novotný P, Zárevúcky J, Zikelic D. On lexicographic proof rules for probabilistic termination. In: 24th International Symposium on Formal Methods. Vol 13047. Springer Nature; 2021:619-639. doi:10.1007/978-3-030-90870-6_33' apa: 'Chatterjee, K., Goharshady, E., Novotný, P., Zárevúcky, J., & Zikelic, D. (2021). On lexicographic proof rules for probabilistic termination. In 24th International Symposium on Formal Methods (Vol. 13047, pp. 619–639). Virtual: Springer Nature. https://doi.org/10.1007/978-3-030-90870-6_33' chicago: Chatterjee, Krishnendu, Ehsan Goharshady, Petr Novotný, Jiří Zárevúcky, and Dorde Zikelic. “On Lexicographic Proof Rules for Probabilistic Termination.” In 24th International Symposium on Formal Methods, 13047:619–39. Springer Nature, 2021. https://doi.org/10.1007/978-3-030-90870-6_33. ieee: K. Chatterjee, E. Goharshady, P. Novotný, J. Zárevúcky, and D. Zikelic, “On lexicographic proof rules for probabilistic termination,” in 24th International Symposium on Formal Methods, Virtual, 2021, vol. 13047, pp. 619–639. ista: 'Chatterjee K, Goharshady E, Novotný P, Zárevúcky J, Zikelic D. 2021. On lexicographic proof rules for probabilistic termination. 24th International Symposium on Formal Methods. FM: Formal Methods, LNCS, vol. 13047, 619–639.' mla: Chatterjee, Krishnendu, et al. “On Lexicographic Proof Rules for Probabilistic Termination.” 24th International Symposium on Formal Methods, vol. 13047, Springer Nature, 2021, pp. 619–39, doi:10.1007/978-3-030-90870-6_33. short: K. Chatterjee, E. Goharshady, P. Novotný, J. Zárevúcky, D. Zikelic, in:, 24th International Symposium on Formal Methods, Springer Nature, 2021, pp. 619–639. conference: end_date: 2021-11-26 location: Virtual name: 'FM: Formal Methods' start_date: 2021-11-20 date_created: 2021-12-05T23:01:45Z date_published: 2021-11-10T00:00:00Z date_updated: 2026-04-07T13:27:55Z day: '10' department: - _id: KrCh doi: 10.1007/978-3-030-90870-6_33 ec_funded: 1 external_id: arxiv: - '2108.02188' isi: - '000758218600033' intvolume: ' 13047' isi: 1 language: - iso: eng main_file_link: - open_access: '1' url: https://arxiv.org/abs/2108.02188 month: '11' oa: 1 oa_version: Preprint page: 619-639 project: - _id: 0599E47C-7A3F-11EA-A408-12923DDC885E call_identifier: H2020 grant_number: '863818' name: 'Formal Methods for Stochastic Models: Algorithms and Applications' - _id: 2564DBCA-B435-11E9-9278-68D0E5697425 call_identifier: H2020 grant_number: '665385' name: International IST Doctoral Program publication: 24th International Symposium on Formal Methods publication_identifier: eisbn: - 978-3-030-90870-6 eissn: - 1611-3349 isbn: - 9-783-0309-0869-0 issn: - 0302-9743 publication_status: published publisher: Springer Nature quality_controlled: '1' related_material: record: - id: '14778' relation: later_version status: public - id: '14539' relation: dissertation_contains status: public scopus_import: '1' status: public title: On lexicographic proof rules for probabilistic termination type: conference user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87 volume: 13047 year: '2021' ... --- _id: '10629' abstract: - lang: eng text: "Product graphs arise naturally in formal verification and program analysis. For example, the analysis of two concurrent threads requires the product of two component control-flow graphs, and for language inclusion of deterministic automata the product of two automata is constructed. In many cases, the component graphs have constant treewidth, e.g., when the input contains control-flow graphs of programs. We consider the algorithmic analysis of products of two constant-treewidth graphs with respect to three classic specification languages, namely, (a) algebraic properties, (b) mean-payoff properties, and (c) initial credit for energy properties.\r\nOur main contributions are as follows. Consider a graph G that is the product of two constant-treewidth graphs of size n each. First, given an idempotent semiring, we present an algorithm that computes the semiring transitive closure of G in time Õ(n⁴). Since the output has size Θ(n⁴), our algorithm is optimal (up to polylog factors). Second, given a mean-payoff objective, we present an O(n³)-time algorithm for deciding whether the value of a starting state is non-negative, improving the previously known O(n⁴) bound. Third, given an initial credit for energy objective, we present an O(n⁵)-time algorithm for computing the minimum initial credit for all nodes of G, improving the previously known O(n⁸) bound. At the heart of our approach lies an algorithm for the efficient construction of strongly-balanced tree decompositions of constant-treewidth graphs. Given a constant-treewidth graph G' of n nodes and a positive integer λ, our algorithm constructs a binary tree decomposition of G' of width O(λ) with the property that the size of each subtree decreases geometrically with rate (1/2 + 2^{-λ})." alternative_title: - LIPIcs article_number: '42' article_processing_charge: No author: - first_name: Krishnendu full_name: Chatterjee, Krishnendu id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87 last_name: Chatterjee orcid: 0000-0002-4561-241X - first_name: Rasmus full_name: Ibsen-Jensen, Rasmus id: 3B699956-F248-11E8-B48F-1D18A9856A87 last_name: Ibsen-Jensen orcid: 0000-0003-4783-0389 - first_name: 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. Quantitative verification on product graphs of small treewidth. In: 41st IARCS Annual Conference on Foundations of Software Technology and Theoretical Computer Science. Vol 213. Schloss Dagstuhl - Leibniz-Zentrum für Informatik; 2021. doi:10.4230/LIPIcs.FSTTCS.2021.42' apa: 'Chatterjee, K., Ibsen-Jensen, R., & Pavlogiannis, A. (2021). Quantitative verification on product graphs of small treewidth. In 41st IARCS Annual Conference on Foundations of Software Technology and Theoretical Computer Science (Vol. 213). Virtual: Schloss Dagstuhl - Leibniz-Zentrum für Informatik. https://doi.org/10.4230/LIPIcs.FSTTCS.2021.42' chicago: Chatterjee, Krishnendu, Rasmus Ibsen-Jensen, and Andreas Pavlogiannis. “Quantitative Verification on Product Graphs of Small Treewidth.” In 41st IARCS Annual Conference on Foundations of Software Technology and Theoretical Computer Science, Vol. 213. Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2021. https://doi.org/10.4230/LIPIcs.FSTTCS.2021.42. ieee: K. Chatterjee, R. Ibsen-Jensen, and A. Pavlogiannis, “Quantitative verification on product graphs of small treewidth,” in 41st IARCS Annual Conference on Foundations of Software Technology and Theoretical Computer Science, Virtual, 2021, vol. 213. ista: 'Chatterjee K, Ibsen-Jensen R, Pavlogiannis A. 2021. Quantitative verification on product graphs of small treewidth. 41st IARCS Annual Conference on Foundations of Software Technology and Theoretical Computer Science. FSTTCS: Foundations of Software Technology and Theoretical Computer Science, LIPIcs, vol. 213, 42.' mla: Chatterjee, Krishnendu, et al. “Quantitative Verification on Product Graphs of Small Treewidth.” 41st IARCS Annual Conference on Foundations of Software Technology and Theoretical Computer Science, vol. 213, 42, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2021, doi:10.4230/LIPIcs.FSTTCS.2021.42. short: K. Chatterjee, R. Ibsen-Jensen, A. Pavlogiannis, in:, 41st IARCS Annual Conference on Foundations of Software Technology and Theoretical Computer Science, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2021. conference: end_date: 2021-12-17 location: Virtual name: 'FSTTCS: Foundations of Software Technology and Theoretical Computer Science' start_date: 2021-12-15 corr_author: '1' date_created: 2022-01-16T23:01:28Z date_published: 2021-11-29T00:00:00Z date_updated: 2024-10-09T21:01:23Z day: '29' ddc: - '000' department: - _id: KrCh doi: 10.4230/LIPIcs.FSTTCS.2021.42 file: - access_level: open_access checksum: 71141acdeffa9056f24d6dbef952d254 content_type: application/pdf creator: cchlebak date_created: 2022-01-17T10:36:08Z date_updated: 2022-01-17T10:36:08Z file_id: '10633' file_name: 2021_LIPIcs_Chatterjee.pdf file_size: 891566 relation: main_file success: 1 file_date_updated: 2022-01-17T10:36:08Z has_accepted_license: '1' intvolume: ' 213' language: - iso: eng month: '11' oa: 1 oa_version: Published Version publication: 41st IARCS Annual Conference on Foundations of Software Technology and Theoretical Computer Science publication_identifier: isbn: - 978-3-9597-7215-0 issn: - 1868-8969 publication_status: published publisher: Schloss Dagstuhl - Leibniz-Zentrum für Informatik quality_controlled: '1' scopus_import: '1' status: public title: Quantitative verification on product graphs of small treewidth tmp: image: /images/cc_by.png legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0) short: CC BY (4.0) type: conference user_id: 8b945eb4-e2f2-11eb-945a-df72226e66a9 volume: 213 year: '2021' ... --- _id: '10630' abstract: - lang: eng text: In the Intersection Non-emptiness problem, we are given a list of finite automata A_1, A_2,… , A_m over a common alphabet Σ as input, and the goal is to determine whether some string w ∈ Σ^* lies in the intersection of the languages accepted by the automata in the list. We analyze the complexity of the Intersection Non-emptiness problem under the promise that all input automata accept a language in some level of the dot-depth hierarchy, or some level of the Straubing-Thérien hierarchy. Automata accepting languages from the lowest levels of these hierarchies arise naturally in the context of model checking. We identify a dichotomy in the dot-depth hierarchy by showing that the problem is already NP-complete when all input automata accept languages of the levels B_0 or B_{1/2} and already PSPACE-hard when all automata accept a language from the level B_1. Conversely, we identify a tetrachotomy in the Straubing-Thérien hierarchy. More precisely, we show that the problem is in AC^0 when restricted to level L_0; complete for L or NL, depending on the input representation, when restricted to languages in the level L_{1/2}; NP-complete when the input is given as DFAs accepting a language in L_1 or L_{3/2}; and finally, PSPACE-complete when the input automata accept languages in level L_2 or higher. Moreover, we show that the proof technique used to show containment in NP for DFAs accepting languages in L_1 or L_{3/2} does not generalize to the context of NFAs. To prove this, we identify a family of languages that provide an exponential separation between the state complexity of general NFAs and that of partially ordered NFAs. To the best of our knowledge, this is the first superpolynomial separation between these two models of computation. acknowledgement: "We like to thank Lukas Fleischer and Michael Wehar for our discussions. This work started at the Schloss Dagstuhl Event 20483 Moderne Aspekte der Komplexitätstheorie in der Automatentheorie https://www.dagstuhl.de/20483.\r\n" alternative_title: - LIPIcs article_number: '34' article_processing_charge: No arxiv: 1 author: - first_name: Emmanuel full_name: Arrighi, Emmanuel last_name: Arrighi - first_name: Henning full_name: Fernau, Henning last_name: Fernau - first_name: Stefan full_name: Hoffmann, Stefan last_name: Hoffmann - first_name: Markus full_name: Holzer, Markus last_name: Holzer - first_name: Ismael R full_name: Jecker, Ismael R id: 85D7C63E-7D5D-11E9-9C0F-98C4E5697425 last_name: Jecker - first_name: Mateus full_name: De Oliveira Oliveira, Mateus last_name: De Oliveira Oliveira - first_name: Petra full_name: Wolf, Petra last_name: Wolf citation: ama: 'Arrighi E, Fernau H, Hoffmann S, et al. On the complexity of intersection non-emptiness for star-free language classes. In: 41st IARCS Annual Conference on Foundations of Software Technology and Theoretical Computer Science. Vol 213. Schloss Dagstuhl - Leibniz-Zentrum für Informatik; 2021. doi:10.4230/LIPIcs.FSTTCS.2021.34' apa: 'Arrighi, E., Fernau, H., Hoffmann, S., Holzer, M., Jecker, I. R., De Oliveira Oliveira, M., & Wolf, P. (2021). On the complexity of intersection non-emptiness for star-free language classes. In 41st IARCS Annual Conference on Foundations of Software Technology and Theoretical Computer Science (Vol. 213). Virtual: Schloss Dagstuhl - Leibniz-Zentrum für Informatik. https://doi.org/10.4230/LIPIcs.FSTTCS.2021.34' chicago: Arrighi, Emmanuel, Henning Fernau, Stefan Hoffmann, Markus Holzer, Ismael R Jecker, Mateus De Oliveira Oliveira, and Petra Wolf. “On the Complexity of Intersection Non-Emptiness for Star-Free Language Classes.” In 41st IARCS Annual Conference on Foundations of Software Technology and Theoretical Computer Science, Vol. 213. Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2021. https://doi.org/10.4230/LIPIcs.FSTTCS.2021.34. ieee: E. Arrighi et al., “On the complexity of intersection non-emptiness for star-free language classes,” in 41st IARCS Annual Conference on Foundations of Software Technology and Theoretical Computer Science, Virtual, 2021, vol. 213. ista: 'Arrighi E, Fernau H, Hoffmann S, Holzer M, Jecker IR, De Oliveira Oliveira M, Wolf P. 2021. On the complexity of intersection non-emptiness for star-free language classes. 41st IARCS Annual Conference on Foundations of Software Technology and Theoretical Computer Science. FSTTCS: Foundations of Software Technology and Theoretical Computer Science, LIPIcs, vol. 213, 34.' mla: Arrighi, Emmanuel, et al. “On the Complexity of Intersection Non-Emptiness for Star-Free Language Classes.” 41st IARCS Annual Conference on Foundations of Software Technology and Theoretical Computer Science, vol. 213, 34, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2021, doi:10.4230/LIPIcs.FSTTCS.2021.34. short: E. Arrighi, H. Fernau, S. Hoffmann, M. Holzer, I.R. Jecker, M. De Oliveira Oliveira, P. Wolf, in:, 41st IARCS Annual Conference on Foundations of Software Technology and Theoretical Computer Science, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2021. conference: end_date: 2021-12-17 location: Virtual name: 'FSTTCS: Foundations of Software Technology and Theoretical Computer Science' start_date: 2021-12-15 corr_author: '1' date_created: 2022-01-16T23:01:29Z date_published: 2021-11-29T00:00:00Z date_updated: 2025-05-14T10:53:59Z day: '29' ddc: - '000' department: - _id: KrCh doi: 10.4230/LIPIcs.FSTTCS.2021.34 ec_funded: 1 external_id: arxiv: - '2110.01279' file: - access_level: open_access checksum: d5a82ba893c3bc5da5914edbb3efb92b content_type: application/pdf creator: cchlebak date_created: 2022-01-17T10:49:03Z date_updated: 2022-01-17T10:49:03Z file_id: '10634' file_name: 2021_LIPIcs_Arrighi.pdf file_size: 844224 relation: main_file success: 1 file_date_updated: 2022-01-17T10:49:03Z has_accepted_license: '1' intvolume: ' 213' language: - iso: eng month: '11' oa: 1 oa_version: Published Version project: - _id: 260C2330-B435-11E9-9278-68D0E5697425 call_identifier: H2020 grant_number: '754411' name: ISTplus - Postdoctoral Fellowships publication: 41st IARCS Annual Conference on Foundations of Software Technology and Theoretical Computer Science publication_identifier: isbn: - 978-3-9597-7215-0 issn: - 1868-8969 publication_status: published publisher: Schloss Dagstuhl - Leibniz-Zentrum für Informatik quality_controlled: '1' scopus_import: '1' status: public title: On the complexity of intersection non-emptiness for star-free language classes tmp: image: /images/cc_by.png legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0) short: CC BY (4.0) type: conference user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87 volume: 213 year: '2021' ... --- _id: '10694' abstract: - lang: eng text: 'In a two-player zero-sum graph game the players move a token throughout a graph to produce an infinite path, which determines the winner or payoff of the game. Traditionally, the players alternate turns in moving the token. In bidding games, however, the players have budgets, and in each turn, we hold an “auction” (bidding) to determine which player moves the token: both players simultaneously submit bids and the higher bidder moves the token. The bidding mechanisms differ in their payment schemes. Bidding games were largely studied with variants of first-price bidding in which only the higher bidder pays his bid. We focus on all-pay bidding, where both players pay their bids. Finite-duration all-pay bidding games were studied and shown to be technically more challenging than their first-price counterparts. We study for the first time, infinite-duration all-pay bidding games. Our most interesting results are for mean-payoff objectives: we portray a complete picture for games played on strongly-connected graphs. We study both pure (deterministic) and mixed (probabilistic) strategies and completely characterize the optimal and almost-sure (with probability 1) payoffs the players can respectively guarantee. We show that mean-payoff games under all-pay bidding exhibit the intriguing mathematical properties of their first-price counterparts; namely, an equivalence with random-turn games in which in each turn, the player who moves is selected according to a (biased) coin toss. The equivalences for all-pay bidding are more intricate and unexpected than for first-price bidding.' acknowledgement: This research was supported in part by the Austrian Science Fund (FWF) under grant Z211-N23 (Wittgenstein Award), ERC CoG 863818 (FoRM-SMArt), and by the European Union's Horizon 2020 research and innovation programme under the Marie Skłodowska-Curie Grant Agreement No. 665385. article_processing_charge: No arxiv: 1 author: - first_name: Guy full_name: Avni, Guy id: 463C8BC2-F248-11E8-B48F-1D18A9856A87 last_name: Avni orcid: 0000-0001-5588-8287 - first_name: Ismael R full_name: Jecker, Ismael R id: 85D7C63E-7D5D-11E9-9C0F-98C4E5697425 last_name: Jecker - first_name: Dorde full_name: Zikelic, Dorde id: 294AA7A6-F248-11E8-B48F-1D18A9856A87 last_name: Zikelic orcid: 0000-0002-4681-1699 citation: ama: 'Avni G, Jecker IR, Zikelic D. Infinite-duration all-pay bidding games. In: Marx D, ed. Proceedings of the 2021 ACM-SIAM Symposium on Discrete Algorithms. Society for Industrial and Applied Mathematics; 2021:617-636. doi:10.1137/1.9781611976465.38' apa: 'Avni, G., Jecker, I. R., & Zikelic, D. (2021). Infinite-duration all-pay bidding games. In D. Marx (Ed.), Proceedings of the 2021 ACM-SIAM Symposium on Discrete Algorithms (pp. 617–636). Virtual: Society for Industrial and Applied Mathematics. https://doi.org/10.1137/1.9781611976465.38' chicago: Avni, Guy, Ismael R Jecker, and Dorde Zikelic. “Infinite-Duration All-Pay Bidding Games.” In Proceedings of the 2021 ACM-SIAM Symposium on Discrete Algorithms, edited by Dániel Marx, 617–36. Society for Industrial and Applied Mathematics, 2021. https://doi.org/10.1137/1.9781611976465.38. ieee: G. Avni, I. R. Jecker, and D. Zikelic, “Infinite-duration all-pay bidding games,” in Proceedings of the 2021 ACM-SIAM Symposium on Discrete Algorithms, Virtual, 2021, pp. 617–636. ista: 'Avni G, Jecker IR, Zikelic D. 2021. Infinite-duration all-pay bidding games. Proceedings of the 2021 ACM-SIAM Symposium on Discrete Algorithms. SODA: Symposium on Discrete Algorithms, 617–636.' mla: Avni, Guy, et al. “Infinite-Duration All-Pay Bidding Games.” Proceedings of the 2021 ACM-SIAM Symposium on Discrete Algorithms, edited by Dániel Marx, Society for Industrial and Applied Mathematics, 2021, pp. 617–36, doi:10.1137/1.9781611976465.38. short: G. Avni, I.R. Jecker, D. Zikelic, in:, D. Marx (Ed.), Proceedings of the 2021 ACM-SIAM Symposium on Discrete Algorithms, Society for Industrial and Applied Mathematics, 2021, pp. 617–636. conference: end_date: 2021-01-13 location: Virtual name: 'SODA: Symposium on Discrete Algorithms' start_date: 2021-01-10 corr_author: '1' date_created: 2022-01-27T12:11:23Z date_published: 2021-01-01T00:00:00Z date_updated: 2025-04-15T06:26:15Z day: '01' department: - _id: GradSch - _id: KrCh doi: 10.1137/1.9781611976465.38 ec_funded: 1 editor: - first_name: Dániel full_name: Marx, Dániel last_name: Marx external_id: arxiv: - '2005.06636' language: - iso: eng main_file_link: - open_access: '1' url: https://arxiv.org/abs/2005.06636 month: '01' oa: 1 oa_version: Preprint page: 617-636 project: - _id: 25F42A32-B435-11E9-9278-68D0E5697425 call_identifier: FWF grant_number: Z211 name: Formal methods for the design and analysis of complex systems - _id: 0599E47C-7A3F-11EA-A408-12923DDC885E call_identifier: H2020 grant_number: '863818' name: 'Formal Methods for Stochastic Models: Algorithms and Applications' - _id: 2564DBCA-B435-11E9-9278-68D0E5697425 call_identifier: H2020 grant_number: '665385' name: International IST Doctoral Program publication: Proceedings of the 2021 ACM-SIAM Symposium on Discrete Algorithms publication_identifier: isbn: - 978-1-61197-646-5 publication_status: published publisher: Society for Industrial and Applied Mathematics quality_controlled: '1' scopus_import: '1' status: public title: Infinite-duration all-pay bidding games type: conference user_id: 8b945eb4-e2f2-11eb-945a-df72226e66a9 year: '2021' ... --- _id: '8793' abstract: - lang: eng text: We study optimal election sequences for repeatedly selecting a (very) small group of leaders among a set of participants (players) with publicly known unique ids. In every time slot, every player has to select exactly one player that it considers to be the current leader, oblivious to the selection of the other players, but with the overarching goal of maximizing a given parameterized global (“social”) payoff function in the limit. We consider a quite generic model, where the local payoff achieved by a given player depends, weighted by some arbitrary but fixed real parameter, on the number of different leaders chosen in a round, the number of players that choose the given player as the leader, and whether the chosen leader has changed w.r.t. the previous round or not. The social payoff can be the maximum, average or minimum local payoff of the players. Possible applications include quite diverse examples such as rotating coordinator-based distributed algorithms and long-haul formation flying of social birds. Depending on the weights and the particular social payoff, optimal sequences can be very different, from simple round-robin where all players chose the same leader alternatingly every time slot to very exotic patterns, where a small group of leaders (at most 2) is elected in every time slot. Moreover, we study the question if and when a single player would not benefit w.r.t. its local payoff when deviating from the given optimal sequence, i.e., when our optimal sequences are Nash equilibria in the restricted strategy space of oblivious strategies. As this is the case for many parameterizations of our model, our results reveal that no punishment is needed to make it rational for the players to optimize the social payoff. acknowledgement: "We are grateful to Matthias Függer and Thomas Nowak for having raised our interest in the problem studied in this paper.\r\nThis work has been supported the Austrian Science Fund (FWF) projects S11405, S11407 (RiSE), and P28182 (ADynNet)." article_processing_charge: No article_type: original author: - first_name: Martin full_name: Zeiner, Martin last_name: Zeiner - first_name: Ulrich full_name: Schmid, Ulrich last_name: Schmid - first_name: Krishnendu full_name: Chatterjee, Krishnendu id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87 last_name: Chatterjee orcid: 0000-0002-4561-241X citation: ama: Zeiner M, Schmid U, Chatterjee K. Optimal strategies for selecting coordinators. Discrete Applied Mathematics. 2021;289(1):392-415. doi:10.1016/j.dam.2020.10.022 apa: Zeiner, M., Schmid, U., & Chatterjee, K. (2021). Optimal strategies for selecting coordinators. Discrete Applied Mathematics. Elsevier. https://doi.org/10.1016/j.dam.2020.10.022 chicago: Zeiner, Martin, Ulrich Schmid, and Krishnendu Chatterjee. “Optimal Strategies for Selecting Coordinators.” Discrete Applied Mathematics. Elsevier, 2021. https://doi.org/10.1016/j.dam.2020.10.022. ieee: M. Zeiner, U. Schmid, and K. Chatterjee, “Optimal strategies for selecting coordinators,” Discrete Applied Mathematics, vol. 289, no. 1. Elsevier, pp. 392–415, 2021. ista: Zeiner M, Schmid U, Chatterjee K. 2021. Optimal strategies for selecting coordinators. Discrete Applied Mathematics. 289(1), 392–415. mla: Zeiner, Martin, et al. “Optimal Strategies for Selecting Coordinators.” Discrete Applied Mathematics, vol. 289, no. 1, Elsevier, 2021, pp. 392–415, doi:10.1016/j.dam.2020.10.022. short: M. Zeiner, U. Schmid, K. Chatterjee, Discrete Applied Mathematics 289 (2021) 392–415. corr_author: '1' date_created: 2020-11-22T23:01:26Z date_published: 2021-01-31T00:00:00Z date_updated: 2026-04-16T09:15:13Z day: '31' ddc: - '510' department: - _id: KrCh doi: 10.1016/j.dam.2020.10.022 external_id: isi: - '000596823800035' file: - access_level: open_access checksum: f1039ff5a2d6ca116720efdb84ee9d5e content_type: application/pdf creator: dernst date_created: 2021-02-04T11:28:42Z date_updated: 2021-02-04T11:28:42Z file_id: '9089' file_name: 2021_DiscreteApplMath_Zeiner.pdf file_size: 652739 relation: main_file success: 1 file_date_updated: 2021-02-04T11:28:42Z has_accepted_license: '1' intvolume: ' 289' isi: 1 issue: '1' language: - iso: eng month: '01' oa: 1 oa_version: Published Version page: 392-415 project: - _id: 25F2ACDE-B435-11E9-9278-68D0E5697425 call_identifier: FWF grant_number: S11402-N23 name: Rigorous Systems Engineering - _id: 25863FF4-B435-11E9-9278-68D0E5697425 call_identifier: FWF grant_number: S11407 name: Game Theory publication: Discrete Applied Mathematics publication_identifier: eissn: - 1872-6771 issn: - 0166-218X publication_status: published publisher: Elsevier quality_controlled: '1' scopus_import: '1' status: public title: Optimal strategies for selecting coordinators tmp: image: /images/cc_by.png legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0) short: CC BY (4.0) type: journal_article user_id: ba8df636-2132-11f1-aed0-ed93e2281fdd volume: 289 year: '2021' ... --- _id: '9296' abstract: - lang: eng text: ' matching is compatible to two or more labeled point sets of size n with labels {1,…,n} if its straight-line drawing on each of these point sets is crossing-free. We study the maximum number of edges in a matching compatible to two or more labeled point sets in general position in the plane. We show that for any two labeled convex sets of n points there exists a compatible matching with ⌊2n−−√⌋ edges. More generally, for any ℓ labeled point sets we construct compatible matchings of size Ω(n1/ℓ) . As a corresponding upper bound, we use probabilistic arguments to show that for any ℓ given sets of n points there exists a labeling of each set such that the largest compatible matching has O(n2/(ℓ+1)) edges. Finally, we show that Θ(logn) copies of any set of n points are necessary and sufficient for the existence of a labeling such that any compatible matching consists only of a single edge.' acknowledgement: 'A.A. funded by the Marie Skłodowska-Curie grant agreement No. 754411. Z.M. partially funded by Wittgenstein Prize, Austrian Science Fund (FWF), grant no. Z 342-N31. I.P., D.P., and B.V. partially supported by FWF within the collaborative DACH project Arrangements and Drawings as FWF project I 3340-N35. A.P. supported by a Schrödinger fellowship of the FWF: J-3847-N35. J.T. partially supported by ERC Start grant no. (279307: Graph Games), FWF grant no. P23499-N23 and S11407-N23 (RiSE).' alternative_title: - LNCS article_processing_charge: No arxiv: 1 author: - first_name: Oswin full_name: Aichholzer, Oswin last_name: Aichholzer - first_name: Alan M full_name: Arroyo Guevara, Alan M id: 3207FDC6-F248-11E8-B48F-1D18A9856A87 last_name: Arroyo Guevara orcid: 0000-0003-2401-8670 - first_name: Zuzana full_name: Masárová, Zuzana id: 45CFE238-F248-11E8-B48F-1D18A9856A87 last_name: Masárová orcid: 0000-0002-6660-1322 - first_name: Irene full_name: Parada, Irene last_name: Parada - first_name: Daniel full_name: Perz, Daniel last_name: Perz - first_name: Alexander full_name: Pilz, Alexander last_name: Pilz - first_name: Josef full_name: Tkadlec, Josef id: 3F24CCC8-F248-11E8-B48F-1D18A9856A87 last_name: Tkadlec orcid: 0000-0002-1097-9684 - first_name: Birgit full_name: Vogtenhuber, Birgit last_name: Vogtenhuber citation: ama: 'Aichholzer O, Arroyo Guevara AM, Masárová Z, et al. On compatible matchings. In: 15th International Conference on Algorithms and Computation. Vol 12635. Springer Nature; 2021:221-233. doi:10.1007/978-3-030-68211-8_18' apa: 'Aichholzer, O., Arroyo Guevara, A. M., Masárová, Z., Parada, I., Perz, D., Pilz, A., … Vogtenhuber, B. (2021). On compatible matchings. In 15th International Conference on Algorithms and Computation (Vol. 12635, pp. 221–233). Yangon, Myanmar: Springer Nature. https://doi.org/10.1007/978-3-030-68211-8_18' chicago: Aichholzer, Oswin, Alan M Arroyo Guevara, Zuzana Masárová, Irene Parada, Daniel Perz, Alexander Pilz, Josef Tkadlec, and Birgit Vogtenhuber. “On Compatible Matchings.” In 15th International Conference on Algorithms and Computation, 12635:221–33. Springer Nature, 2021. https://doi.org/10.1007/978-3-030-68211-8_18. ieee: O. Aichholzer et al., “On compatible matchings,” in 15th International Conference on Algorithms and Computation, Yangon, Myanmar, 2021, vol. 12635, pp. 221–233. ista: 'Aichholzer O, Arroyo Guevara AM, Masárová Z, Parada I, Perz D, Pilz A, Tkadlec J, Vogtenhuber B. 2021. On compatible matchings. 15th International Conference on Algorithms and Computation. WALCOM: Algorithms and Computation, LNCS, vol. 12635, 221–233.' mla: Aichholzer, Oswin, et al. “On Compatible Matchings.” 15th International Conference on Algorithms and Computation, vol. 12635, Springer Nature, 2021, pp. 221–33, doi:10.1007/978-3-030-68211-8_18. short: O. Aichholzer, A.M. Arroyo Guevara, Z. Masárová, I. Parada, D. Perz, A. Pilz, J. Tkadlec, B. Vogtenhuber, in:, 15th International Conference on Algorithms and Computation, Springer Nature, 2021, pp. 221–233. conference: end_date: 2021-03-02 location: Yangon, Myanmar name: 'WALCOM: Algorithms and Computation' start_date: 2021-02-28 date_created: 2021-03-28T22:01:41Z date_published: 2021-02-16T00:00:00Z date_updated: 2026-04-16T09:18:21Z day: '16' department: - _id: UlWa - _id: HeEd - _id: KrCh doi: 10.1007/978-3-030-68211-8_18 ec_funded: 1 external_id: arxiv: - '2101.03928' isi: - '001435069600018' intvolume: ' 12635' isi: 1 language: - iso: eng main_file_link: - open_access: '1' url: https://arxiv.org/abs/2101.03928 month: '02' oa: 1 oa_version: Preprint page: 221-233 project: - _id: 260C2330-B435-11E9-9278-68D0E5697425 call_identifier: H2020 grant_number: '754411' name: ISTplus - Postdoctoral Fellowships - _id: 268116B8-B435-11E9-9278-68D0E5697425 call_identifier: FWF grant_number: Z00342 name: Mathematics, Computer Science - _id: 2581B60A-B435-11E9-9278-68D0E5697425 call_identifier: FP7 grant_number: '279307' name: 'Quantitative Graph Games: Theory and Applications' - _id: 2584A770-B435-11E9-9278-68D0E5697425 call_identifier: FWF grant_number: P 23499-N23 name: Modern Graph Algorithmic Techniques in Formal Verification - _id: 25863FF4-B435-11E9-9278-68D0E5697425 call_identifier: FWF grant_number: S11407 name: Game Theory publication: 15th International Conference on Algorithms and Computation publication_identifier: eisbn: - '9783030682118' eissn: - 1611-3349 isbn: - '9783030682101' issn: - 0302-9743 publication_status: published publisher: Springer Nature quality_controlled: '1' related_material: record: - id: '11938' relation: later_version status: public scopus_import: '1' status: public title: On compatible matchings type: conference user_id: ba8df636-2132-11f1-aed0-ed93e2281fdd volume: 12635 year: '2021' ... --- _id: '9381' abstract: - lang: eng text: 'A game of rock-paper-scissors is an interesting example of an interaction where none of the pure strategies strictly dominates all others, leading to a cyclic pattern. In this work, we consider an unstable version of rock-paper-scissors dynamics and allow individuals to make behavioural mistakes during the strategy execution. We show that such an assumption can break a cyclic relationship leading to a stable equilibrium emerging with only one strategy surviving. We consider two cases: completely random mistakes when individuals have no bias towards any strategy and a general form of mistakes. Then, we determine conditions for a strategy to dominate all other strategies. However, given that individuals who adopt a dominating strategy are still prone to behavioural mistakes in the observed behaviour, we may still observe extinct strategies. That is, behavioural mistakes in strategy execution stabilise evolutionary dynamics leading to an evolutionary stable and, potentially, mixed co-existence equilibrium.' acknowledgement: Authors would like to thank Christian Hilbe and Martin Nowak for their inspiring and very helpful feedback on the manuscript. article_number: e1008523 article_processing_charge: No article_type: original author: - first_name: Maria full_name: Kleshnina, Maria id: 4E21749C-F248-11E8-B48F-1D18A9856A87 last_name: Kleshnina - first_name: Sabrina S. full_name: Streipert, Sabrina S. last_name: Streipert - first_name: Jerzy A. full_name: Filar, Jerzy A. last_name: Filar - first_name: Krishnendu full_name: Chatterjee, Krishnendu id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87 last_name: Chatterjee orcid: 0000-0002-4561-241X citation: ama: Kleshnina M, Streipert SS, Filar JA, Chatterjee K. Mistakes can stabilise the dynamics of rock-paper-scissors games. PLoS Computational Biology. 2021;17(4). doi:10.1371/journal.pcbi.1008523 apa: Kleshnina, M., Streipert, S. S., Filar, J. A., & Chatterjee, K. (2021). Mistakes can stabilise the dynamics of rock-paper-scissors games. PLoS Computational Biology. Public Library of Science. https://doi.org/10.1371/journal.pcbi.1008523 chicago: Kleshnina, Maria, Sabrina S. Streipert, Jerzy A. Filar, and Krishnendu Chatterjee. “Mistakes Can Stabilise the Dynamics of Rock-Paper-Scissors Games.” PLoS Computational Biology. Public Library of Science, 2021. https://doi.org/10.1371/journal.pcbi.1008523. ieee: M. Kleshnina, S. S. Streipert, J. A. Filar, and K. Chatterjee, “Mistakes can stabilise the dynamics of rock-paper-scissors games,” PLoS Computational Biology, vol. 17, no. 4. Public Library of Science, 2021. ista: Kleshnina M, Streipert SS, Filar JA, Chatterjee K. 2021. Mistakes can stabilise the dynamics of rock-paper-scissors games. PLoS Computational Biology. 17(4), e1008523. mla: Kleshnina, Maria, et al. “Mistakes Can Stabilise the Dynamics of Rock-Paper-Scissors Games.” PLoS Computational Biology, vol. 17, no. 4, e1008523, Public Library of Science, 2021, doi:10.1371/journal.pcbi.1008523. short: M. Kleshnina, S.S. Streipert, J.A. Filar, K. Chatterjee, PLoS Computational Biology 17 (2021). date_created: 2021-05-09T22:01:38Z date_published: 2021-04-01T00:00:00Z date_updated: 2025-06-12T06:40:39Z day: '01' ddc: - '000' department: - _id: KrCh doi: 10.1371/journal.pcbi.1008523 ec_funded: 1 external_id: isi: - '000639711200001' pmid: - '33844680' file: - access_level: open_access checksum: a94ebe0c4116f5047eaa6029e54d2dac content_type: application/pdf creator: kschuh date_created: 2021-05-11T13:50:06Z date_updated: 2021-05-11T13:50:06Z file_id: '9385' file_name: 2021_pcbi_Kleshnina.pdf file_size: 1323820 relation: main_file success: 1 file_date_updated: 2021-05-11T13:50:06Z has_accepted_license: '1' intvolume: ' 17' isi: 1 issue: '4' language: - iso: eng month: '04' oa: 1 oa_version: Published Version pmid: 1 project: - _id: 260C2330-B435-11E9-9278-68D0E5697425 call_identifier: H2020 grant_number: '754411' name: ISTplus - Postdoctoral Fellowships - _id: 0599E47C-7A3F-11EA-A408-12923DDC885E call_identifier: H2020 grant_number: '863818' name: 'Formal Methods for Stochastic Models: Algorithms and Applications' publication: PLoS Computational Biology publication_identifier: eissn: - 1553-7358 issn: - 1553-734X publication_status: published publisher: Public Library of Science quality_controlled: '1' scopus_import: '1' status: public title: Mistakes can stabilise the dynamics of rock-paper-scissors games tmp: image: /images/cc_by.png legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0) short: CC BY (4.0) type: journal_article user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87 volume: 17 year: '2021' ... --- _id: '9393' abstract: - lang: eng text: "We consider the core algorithmic problems related to verification of systems with respect to three classical quantitative properties, namely, the mean-payoff, the ratio, and the minimum initial credit for energy property. The algorithmic problem given a graph and a quantitative property asks to compute the optimal value (the infimum value over all traces) from every node of the graph. We consider graphs with bounded treewidth—a class that contains the control flow graphs of most programs. Let n denote the number of nodes of a graph, m the number of edges (for bounded treewidth \U0001D45A=\U0001D442(\U0001D45B)) and W the largest absolute value of the weights. Our main theoretical results are as follows. First, for the minimum initial credit problem we show that (1) for general graphs the problem can be solved in \U0001D442(\U0001D45B2⋅\U0001D45A) time and the associated decision problem in \U0001D442(\U0001D45B⋅\U0001D45A) time, improving the previous known \U0001D442(\U0001D45B3⋅\U0001D45A⋅log(\U0001D45B⋅\U0001D44A)) and \U0001D442(\U0001D45B2⋅\U0001D45A) bounds, respectively; and (2) for bounded treewidth graphs we present an algorithm that requires \U0001D442(\U0001D45B⋅log\U0001D45B) time. Second, for bounded treewidth graphs we present an algorithm that approximates the mean-payoff value within a factor of 1+\U0001D716 in time \U0001D442(\U0001D45B⋅log(\U0001D45B/\U0001D716)) as compared to the classical exact algorithms on general graphs that require quadratic time. Third, for the ratio property we present an algorithm that for bounded treewidth graphs works in time \U0001D442(\U0001D45B⋅log(|\U0001D44E⋅\U0001D44F|))=\U0001D442(\U0001D45B⋅log(\U0001D45B⋅\U0001D44A)), when the output is \U0001D44E\U0001D44F, as compared to the previously best known algorithm on general graphs with running time \U0001D442(\U0001D45B2⋅log(\U0001D45B⋅\U0001D44A)). We have implemented some of our algorithms and show that they present a significant speedup on standard benchmarks." acknowledgement: 'The research was partly supported by Austrian Science Fund (FWF) Grant No P23499- N23, FWF NFN Grant No S11407-N23 (RiSE/SHiNE), ERC Start Grant (279307: Graph Games), and Microsoft faculty fellows award.' article_processing_charge: No article_type: original arxiv: 1 author: - first_name: Krishnendu full_name: Chatterjee, Krishnendu id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87 last_name: Chatterjee orcid: 0000-0002-4561-241X - first_name: Rasmus full_name: Ibsen-Jensen, Rasmus id: 3B699956-F248-11E8-B48F-1D18A9856A87 last_name: Ibsen-Jensen orcid: 0000-0003-4783-0389 - first_name: Andreas full_name: Pavlogiannis, Andreas id: 49704004-F248-11E8-B48F-1D18A9856A87 last_name: Pavlogiannis orcid: 0000-0002-8943-0722 citation: ama: Chatterjee K, Ibsen-Jensen R, Pavlogiannis A. Faster algorithms for quantitative verification in bounded treewidth graphs. Formal Methods in System Design. 2021;57:401-428. doi:10.1007/s10703-021-00373-5 apa: Chatterjee, K., Ibsen-Jensen, R., & Pavlogiannis, A. (2021). Faster algorithms for quantitative verification in bounded treewidth graphs. Formal Methods in System Design. Springer. https://doi.org/10.1007/s10703-021-00373-5 chicago: Chatterjee, Krishnendu, Rasmus Ibsen-Jensen, and Andreas Pavlogiannis. “Faster Algorithms for Quantitative Verification in Bounded Treewidth Graphs.” Formal Methods in System Design. Springer, 2021. https://doi.org/10.1007/s10703-021-00373-5. ieee: K. Chatterjee, R. Ibsen-Jensen, and A. Pavlogiannis, “Faster algorithms for quantitative verification in bounded treewidth graphs,” Formal Methods in System Design, vol. 57. Springer, pp. 401–428, 2021. ista: Chatterjee K, Ibsen-Jensen R, Pavlogiannis A. 2021. Faster algorithms for quantitative verification in bounded treewidth graphs. Formal Methods in System Design. 57, 401–428. mla: Chatterjee, Krishnendu, et al. “Faster Algorithms for Quantitative Verification in Bounded Treewidth Graphs.” Formal Methods in System Design, vol. 57, Springer, 2021, pp. 401–28, doi:10.1007/s10703-021-00373-5. short: K. Chatterjee, R. Ibsen-Jensen, A. Pavlogiannis, Formal Methods in System Design 57 (2021) 401–428. date_created: 2021-05-16T22:01:47Z date_published: 2021-09-01T00:00:00Z date_updated: 2025-04-15T07:23:30Z day: '01' department: - _id: KrCh doi: 10.1007/s10703-021-00373-5 ec_funded: 1 external_id: arxiv: - '1504.07384' isi: - '000645490300001' intvolume: ' 57' isi: 1 language: - iso: eng main_file_link: - open_access: '1' url: https://arxiv.org/abs/1504.07384 month: '09' oa: 1 oa_version: Preprint page: 401-428 project: - _id: 2584A770-B435-11E9-9278-68D0E5697425 call_identifier: FWF grant_number: P 23499-N23 name: Modern Graph Algorithmic Techniques in Formal Verification - _id: 25832EC2-B435-11E9-9278-68D0E5697425 call_identifier: FWF grant_number: S 11407_N23 name: Rigorous Systems Engineering - _id: 2581B60A-B435-11E9-9278-68D0E5697425 call_identifier: FP7 grant_number: '279307' name: 'Quantitative Graph Games: Theory and Applications' - _id: 2587B514-B435-11E9-9278-68D0E5697425 name: Microsoft Research Faculty Fellowship publication: Formal Methods in System Design publication_identifier: eissn: - 1572-8102 issn: - 0925-9856 publication_status: published publisher: Springer quality_controlled: '1' scopus_import: '1' status: public title: Faster algorithms for quantitative verification in bounded treewidth graphs type: journal_article user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87 volume: 57 year: '2021' ... --- _id: '9403' abstract: - lang: eng text: Optimal decision making requires individuals to know their available options and to anticipate correctly what consequences these options have. In many social interactions, however, we refrain from gathering all relevant information, even if this information would help us make better decisions and is costless to obtain. This chapter examines several examples of “deliberate ignorance.” Two simple models are proposed to illustrate how ignorance can evolve among self-interested and payoff - maximizing individuals, and open problems are highlighted that lie ahead for future research to explore. article_processing_charge: No author: - first_name: Laura full_name: Schmid, Laura id: 38B437DE-F248-11E8-B48F-1D18A9856A87 last_name: Schmid orcid: 0000-0002-6978-7329 - first_name: Christian full_name: Hilbe, Christian last_name: Hilbe citation: ama: 'Schmid L, Hilbe C. The evolution of strategic ignorance in strategic interaction. In: Hertwig R, Engel C, eds. Deliberate Ignorance: Choosing Not To Know. Vol 29. Strüngmann Forum Reports. MIT Press; 2021:139-152.' apa: 'Schmid, L., & Hilbe, C. (2021). The evolution of strategic ignorance in strategic interaction. In R. Hertwig & C. Engel (Eds.), Deliberate Ignorance: Choosing Not To Know (Vol. 29, pp. 139–152). MIT Press.' chicago: 'Schmid, Laura, and Christian Hilbe. “The Evolution of Strategic Ignorance in Strategic Interaction.” In Deliberate Ignorance: Choosing Not To Know, edited by Ralph Hertwig and Christoph Engel, 29:139–52. Strüngmann Forum Reports. MIT Press, 2021.' ieee: 'L. Schmid and C. Hilbe, “The evolution of strategic ignorance in strategic interaction,” in Deliberate Ignorance: Choosing Not To Know, vol. 29, R. Hertwig and C. Engel, Eds. MIT Press, 2021, pp. 139–152.' ista: 'Schmid L, Hilbe C. 2021.The evolution of strategic ignorance in strategic interaction. In: Deliberate Ignorance: Choosing Not To Know. vol. 29, 139–152.' mla: 'Schmid, Laura, and Christian Hilbe. “The Evolution of Strategic Ignorance in Strategic Interaction.” Deliberate Ignorance: Choosing Not To Know, edited by Ralph Hertwig and Christoph Engel, vol. 29, MIT Press, 2021, pp. 139–52.' short: 'L. Schmid, C. Hilbe, in:, R. Hertwig, C. Engel (Eds.), Deliberate Ignorance: Choosing Not To Know, MIT Press, 2021, pp. 139–152.' date_created: 2021-05-19T12:25:42Z date_published: 2021-03-01T00:00:00Z date_updated: 2026-06-18T19:49:35Z day: '01' ddc: - '000' department: - _id: GradSch - _id: KrCh editor: - first_name: Ralph full_name: Hertwig, Ralph last_name: Hertwig - first_name: Christoph full_name: Engel, Christoph last_name: Engel intvolume: ' 29' language: - iso: eng main_file_link: - open_access: '1' url: https://esforum.de/publications/PDFs/sfr29/SFR29_09_Hilbe%20and%20Schmid.pdf month: '03' oa: 1 oa_version: Published Version page: 139-152 publication: 'Deliberate Ignorance: Choosing Not To Know' publication_identifier: isbn: - 978-0-262-04559-9 publisher: MIT Press quality_controlled: '1' series_title: Strüngmann Forum Reports status: public title: The evolution of strategic ignorance in strategic interaction type: book_chapter user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87 volume: 29 year: '2021' ... --- _id: '9640' abstract: - lang: eng text: 'Selection and random drift determine the probability that novel mutations fixate in a population. Population structure is known to affect the dynamics of the evolutionary process. Amplifiers of selection are population structures that increase the fixation probability of beneficial mutants compared to well-mixed populations. Over the past 15 years, extensive research has produced remarkable structures called strong amplifiers which guarantee that every beneficial mutation fixates with high probability. But strong amplification has come at the cost of considerably delaying the fixation event, which can slow down the overall rate of evolution. However, the precise relationship between fixation probability and time has remained elusive. Here we characterize the slowdown effect of strong amplification. First, we prove that all strong amplifiers must delay the fixation event at least to some extent. Second, we construct strong amplifiers that delay the fixation event only marginally as compared to the well-mixed populations. Our results thus establish a tight relationship between fixation probability and time: Strong amplification always comes at a cost of a slowdown, but more than a marginal slowdown is not needed.' acknowledgement: 'K.C. acknowledges support from ERC Start grant no. (279307: Graph Games), ERC Consolidator grant no. (863818: ForM-SMart), Austrian Science Fund (FWF) grant no. P23499-N23 and S11407-N23 (RiSE). M.A.N. acknowledges support from Office of Naval Research grant N00014-16-1-2914 and from the John Templeton Foundation.' article_number: '4009' article_processing_charge: No article_type: original author: - first_name: Josef full_name: Tkadlec, Josef id: 3F24CCC8-F248-11E8-B48F-1D18A9856A87 last_name: Tkadlec orcid: 0000-0002-1097-9684 - first_name: Andreas full_name: Pavlogiannis, Andreas id: 49704004-F248-11E8-B48F-1D18A9856A87 last_name: Pavlogiannis orcid: 0000-0002-8943-0722 - first_name: Krishnendu full_name: Chatterjee, Krishnendu id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87 last_name: Chatterjee orcid: 0000-0002-4561-241X - first_name: Martin A. full_name: Nowak, Martin A. last_name: Nowak citation: ama: Tkadlec J, Pavlogiannis A, Chatterjee K, Nowak MA. Fast and strong amplifiers of natural selection. Nature Communications. 2021;12(1). doi:10.1038/s41467-021-24271-w apa: Tkadlec, J., Pavlogiannis, A., Chatterjee, K., & Nowak, M. A. (2021). Fast and strong amplifiers of natural selection. Nature Communications. Springer Nature. https://doi.org/10.1038/s41467-021-24271-w chicago: Tkadlec, Josef, Andreas Pavlogiannis, Krishnendu Chatterjee, and Martin A. Nowak. “Fast and Strong Amplifiers of Natural Selection.” Nature Communications. Springer Nature, 2021. https://doi.org/10.1038/s41467-021-24271-w. ieee: J. Tkadlec, A. Pavlogiannis, K. Chatterjee, and M. A. Nowak, “Fast and strong amplifiers of natural selection,” Nature Communications, vol. 12, no. 1. Springer Nature, 2021. ista: Tkadlec J, Pavlogiannis A, Chatterjee K, Nowak MA. 2021. Fast and strong amplifiers of natural selection. Nature Communications. 12(1), 4009. mla: Tkadlec, Josef, et al. “Fast and Strong Amplifiers of Natural Selection.” Nature Communications, vol. 12, no. 1, 4009, Springer Nature, 2021, doi:10.1038/s41467-021-24271-w. short: J. Tkadlec, A. Pavlogiannis, K. Chatterjee, M.A. Nowak, Nature Communications 12 (2021). date_created: 2021-07-11T22:01:15Z date_published: 2021-06-29T00:00:00Z date_updated: 2026-04-02T14:04:10Z day: '29' ddc: - '510' department: - _id: KrCh doi: 10.1038/s41467-021-24271-w ec_funded: 1 external_id: isi: - '000671752100003' pmid: - '34188036' file: - access_level: open_access checksum: 5767418926a7f7fb76151de29473dae0 content_type: application/pdf creator: cziletti date_created: 2021-07-19T13:02:20Z date_updated: 2021-07-19T13:02:20Z file_id: '9692' file_name: 2021_NatCoom_Tkadlec.pdf file_size: 628992 relation: main_file success: 1 file_date_updated: 2021-07-19T13:02:20Z has_accepted_license: '1' intvolume: ' 12' isi: 1 issue: '1' language: - iso: eng month: '06' oa: 1 oa_version: Published Version pmid: 1 project: - _id: 2581B60A-B435-11E9-9278-68D0E5697425 call_identifier: FP7 grant_number: '279307' name: 'Quantitative Graph Games: Theory and Applications' - _id: 0599E47C-7A3F-11EA-A408-12923DDC885E call_identifier: H2020 grant_number: '863818' name: 'Formal Methods for Stochastic Models: Algorithms and Applications' - _id: 2584A770-B435-11E9-9278-68D0E5697425 call_identifier: FWF grant_number: P 23499-N23 name: Modern Graph Algorithmic Techniques in Formal Verification - _id: 25832EC2-B435-11E9-9278-68D0E5697425 call_identifier: FWF grant_number: S 11407_N23 name: Rigorous Systems Engineering publication: Nature Communications publication_identifier: eissn: - 2041-1723 publication_status: published publisher: Springer Nature quality_controlled: '1' scopus_import: '1' status: public title: Fast and strong amplifiers of natural selection tmp: image: /images/cc_by.png legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0) short: CC BY (4.0) type: journal_article user_id: ba8df636-2132-11f1-aed0-ed93e2281fdd volume: 12 year: '2021' ... --- _id: '9644' abstract: - lang: eng text: 'We present a new approach to proving non-termination of non-deterministic integer programs. Our technique is rather simple but efficient. It relies on a purely syntactic reversal of the program''s transition system followed by a constraint-based invariant synthesis with constraints coming from both the original and the reversed transition system. The latter task is performed by a simple call to an off-the-shelf SMT-solver, which allows us to leverage the latest advances in SMT-solving. Moreover, our method offers a combination of features not present (as a whole) in previous approaches: it handles programs with non-determinism, provides relative completeness guarantees and supports programs with polynomial arithmetic. The experiments performed with our prototype tool RevTerm show that our approach, despite its simplicity and stronger theoretical guarantees, is at least on par with the state-of-the-art tools, often achieving a non-trivial improvement under a proper configuration of its parameters.' acknowledgement: We thank the anonymous reviewers for their helpful comments. This research was partially supported by the ERCCoG 863818 (ForM-SMArt) and the Czech Science Foundation grant No. GJ19-15134Y. article_processing_charge: No arxiv: 1 author: - first_name: Krishnendu full_name: Chatterjee, Krishnendu id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87 last_name: Chatterjee orcid: 0000-0002-4561-241X - first_name: Ehsan Kafshdar full_name: Goharshady, Ehsan Kafshdar last_name: Goharshady - first_name: Petr full_name: Novotný, Petr id: 3CC3B868-F248-11E8-B48F-1D18A9856A87 last_name: Novotný - first_name: Dorde full_name: Zikelic, Dorde id: 294AA7A6-F248-11E8-B48F-1D18A9856A87 last_name: Zikelic orcid: 0000-0002-4681-1699 citation: ama: 'Chatterjee K, Goharshady EK, Novotný P, Zikelic D. Proving non-termination by program reversal. In: Proceedings of the 42nd ACM SIGPLAN International Conference on Programming Language Design and Implementation. Association for Computing Machinery; 2021:1033-1048. doi:10.1145/3453483.3454093' apa: 'Chatterjee, K., Goharshady, E. K., Novotný, P., & Zikelic, D. (2021). Proving non-termination by program reversal. In Proceedings of the 42nd ACM SIGPLAN International Conference on Programming Language Design and Implementation (pp. 1033–1048). Online: Association for Computing Machinery. https://doi.org/10.1145/3453483.3454093' chicago: Chatterjee, Krishnendu, Ehsan Kafshdar Goharshady, Petr Novotný, and Dorde Zikelic. “Proving Non-Termination by Program Reversal.” In Proceedings of the 42nd ACM SIGPLAN International Conference on Programming Language Design and Implementation, 1033–48. Association for Computing Machinery, 2021. https://doi.org/10.1145/3453483.3454093. ieee: K. Chatterjee, E. K. Goharshady, P. Novotný, and D. Zikelic, “Proving non-termination by program reversal,” in Proceedings of the 42nd ACM SIGPLAN International Conference on Programming Language Design and Implementation, Online, 2021, pp. 1033–1048. ista: 'Chatterjee K, Goharshady EK, Novotný P, Zikelic D. 2021. Proving non-termination by program reversal. Proceedings of the 42nd ACM SIGPLAN International Conference on Programming Language Design and Implementation. PLDI: Programming Language Design and Implementation, 1033–1048.' mla: Chatterjee, Krishnendu, et al. “Proving Non-Termination by Program Reversal.” Proceedings of the 42nd ACM SIGPLAN International Conference on Programming Language Design and Implementation, Association for Computing Machinery, 2021, pp. 1033–48, doi:10.1145/3453483.3454093. short: K. Chatterjee, E.K. Goharshady, P. Novotný, D. Zikelic, in:, Proceedings of the 42nd ACM SIGPLAN International Conference on Programming Language Design and Implementation, Association for Computing Machinery, 2021, pp. 1033–1048. conference: end_date: 2021-06-26 location: Online name: 'PLDI: Programming Language Design and Implementation' start_date: 2021-06-20 date_created: 2021-07-11T22:01:17Z date_published: 2021-06-01T00:00:00Z date_updated: 2026-04-07T13:27:55Z day: '01' department: - _id: KrCh doi: 10.1145/3453483.3454093 ec_funded: 1 external_id: arxiv: - '2104.01189' isi: - '000723661700067' isi: 1 language: - iso: eng main_file_link: - open_access: '1' url: https://arxiv.org/abs/2104.01189 month: '06' oa: 1 oa_version: Preprint page: 1033-1048 project: - _id: 0599E47C-7A3F-11EA-A408-12923DDC885E call_identifier: H2020 grant_number: '863818' name: 'Formal Methods for Stochastic Models: Algorithms and Applications' publication: Proceedings of the 42nd ACM SIGPLAN International Conference on Programming Language Design and Implementation publication_identifier: isbn: - '9781450383912' publication_status: published publisher: Association for Computing Machinery quality_controlled: '1' related_material: record: - id: '15284' relation: research_data status: public - id: '14539' relation: dissertation_contains status: public scopus_import: '1' status: public title: Proving non-termination by program reversal type: conference user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8 year: '2021' ... --- _id: '9645' abstract: - lang: eng text: "We consider the fundamental problem of reachability analysis over imperative programs with real variables. Previous works that tackle reachability are either unable to handle programs consisting of general loops (e.g. symbolic execution), or lack completeness guarantees (e.g. abstract interpretation), or are not automated (e.g. incorrectness logic). In contrast, we propose a novel approach for reachability analysis that can handle general and complex loops, is complete, and can be entirely automated for a wide family of programs. Through the notion of Inductive Reachability Witnesses (IRWs), our approach extends ideas from both invariant generation and termination to reachability analysis.\r\n\r\nWe first show that our IRW-based approach is sound and complete for reachability analysis of imperative programs. Then, we focus on linear and polynomial programs and develop automated methods for synthesizing linear and polynomial IRWs. In the linear case, we follow the well-known approaches using Farkas' Lemma. Our main contribution is in the polynomial case, where we present a push-button semi-complete algorithm. We achieve this using a novel combination of classical theorems in real algebraic geometry, such as Putinar's Positivstellensatz and Hilbert's Strong Nullstellensatz. Finally, our experimental results show we can prove complex reachability objectives over various benchmarks that were beyond the reach of previous methods." acknowledgement: This research was partially supported by the ERC CoG 863818 (ForM-SMArt), the National Natural Science Foundation of China (NSFC) Grant No. 61802254, the Huawei Innovation Research Program, the Facebook PhD Fellowship Program, and DOC Fellowship No. 24956 of the Austrian Academy of Sciences (ÖAW). article_processing_charge: No author: - first_name: Ali full_name: Asadi, Ali last_name: Asadi - first_name: Krishnendu full_name: Chatterjee, Krishnendu id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87 last_name: Chatterjee orcid: 0000-0002-4561-241X - first_name: Hongfei full_name: Fu, Hongfei id: 3AAD03D6-F248-11E8-B48F-1D18A9856A87 last_name: Fu - first_name: Amir Kafshdar full_name: Goharshady, Amir Kafshdar id: 391365CE-F248-11E8-B48F-1D18A9856A87 last_name: Goharshady orcid: 0000-0003-1702-6584 - first_name: Mohammad full_name: Mahdavi, Mohammad last_name: Mahdavi citation: ama: 'Asadi A, Chatterjee K, Fu H, Goharshady AK, Mahdavi M. Polynomial reachability witnesses via Stellensätze. In: Proceedings of the 42nd ACM SIGPLAN International Conference on Programming Language Design and Implementation. Association for Computing Machinery; 2021:772-787. doi:10.1145/3453483.3454076' apa: 'Asadi, A., Chatterjee, K., Fu, H., Goharshady, A. K., & Mahdavi, M. (2021). Polynomial reachability witnesses via Stellensätze. In Proceedings of the 42nd ACM SIGPLAN International Conference on Programming Language Design and Implementation (pp. 772–787). Online: Association for Computing Machinery. https://doi.org/10.1145/3453483.3454076' chicago: Asadi, Ali, Krishnendu Chatterjee, Hongfei Fu, Amir Kafshdar Goharshady, and Mohammad Mahdavi. “Polynomial Reachability Witnesses via Stellensätze.” In Proceedings of the 42nd ACM SIGPLAN International Conference on Programming Language Design and Implementation, 772–87. Association for Computing Machinery, 2021. https://doi.org/10.1145/3453483.3454076. ieee: A. Asadi, K. Chatterjee, H. Fu, A. K. Goharshady, and M. Mahdavi, “Polynomial reachability witnesses via Stellensätze,” in Proceedings of the 42nd ACM SIGPLAN International Conference on Programming Language Design and Implementation, Online, 2021, pp. 772–787. ista: 'Asadi A, Chatterjee K, Fu H, Goharshady AK, Mahdavi M. 2021. Polynomial reachability witnesses via Stellensätze. Proceedings of the 42nd ACM SIGPLAN International Conference on Programming Language Design and Implementation. PLDI: Programming Language Design and Implementation, 772–787.' mla: Asadi, Ali, et al. “Polynomial Reachability Witnesses via Stellensätze.” Proceedings of the 42nd ACM SIGPLAN International Conference on Programming Language Design and Implementation, Association for Computing Machinery, 2021, pp. 772–87, doi:10.1145/3453483.3454076. short: A. Asadi, K. Chatterjee, H. Fu, A.K. Goharshady, M. Mahdavi, in:, Proceedings of the 42nd ACM SIGPLAN International Conference on Programming Language Design and Implementation, Association for Computing Machinery, 2021, pp. 772–787. conference: end_date: 2021-06-26 location: Online name: 'PLDI: Programming Language Design and Implementation' start_date: 2021-06-20 date_created: 2021-07-11T22:01:17Z date_published: 2021-06-01T00:00:00Z date_updated: 2025-07-10T12:02:00Z day: '01' department: - _id: KrCh doi: 10.1145/3453483.3454076 ec_funded: 1 external_id: isi: - '000723661700050' isi: 1 language: - iso: eng main_file_link: - open_access: '1' url: https://hal.archives-ouvertes.fr/hal-03183862/ month: '06' oa: 1 oa_version: Submitted Version page: 772-787 project: - _id: 0599E47C-7A3F-11EA-A408-12923DDC885E call_identifier: H2020 grant_number: '863818' name: 'Formal Methods for Stochastic Models: Algorithms and Applications' - _id: 267066CE-B435-11E9-9278-68D0E5697425 name: Quantitative Analysis of Probabilistic Systems with a focus on Crypto-Currencies publication: Proceedings of the 42nd ACM SIGPLAN International Conference on Programming Language Design and Implementation publication_identifier: isbn: - '9781450383912' publication_status: published publisher: Association for Computing Machinery quality_controlled: '1' scopus_import: '1' status: public title: Polynomial reachability witnesses via Stellensätze type: conference user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87 year: '2021' ...