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Computer code for “Efficiency and resilience of cooperation in asymmetric social dilemmas.” Zenodo. <a href=\"https://doi.org/10.5281/ZENODO.10639167\">https://doi.org/10.5281/ZENODO.10639167</a>","ama":"Hübner V, Kleshnina M. Computer code for “Efficiency and resilience of cooperation in asymmetric social dilemmas.” 2024. doi:<a href=\"https://doi.org/10.5281/ZENODO.10639167\">10.5281/ZENODO.10639167</a>","short":"V. Hübner, M. Kleshnina, (2024).","ieee":"V. Hübner and M. Kleshnina, “Computer code for ‘Efficiency and resilience of cooperation in asymmetric social dilemmas.’” Zenodo, 2024.","mla":"Hübner, Valentin, and Maria Kleshnina. <i>Computer Code for “Efficiency and Resilience of Cooperation in Asymmetric Social Dilemmas.”</i> Zenodo, 2024, doi:<a href=\"https://doi.org/10.5281/ZENODO.10639167\">10.5281/ZENODO.10639167</a>."},"tmp":{"image":"/images/cc_by.png","short":"CC BY (4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)"},"abstract":[{"lang":"eng","text":"in the research article \"Efficiency and resilience of cooperation in asymmetric social dilemmas\" (by Valentin Hübner, Manuel Staab, Christian Hilbe, Krishnendu Chatterjee, and Maria Kleshnina).\r\n\r\nWe used different implementations for the case of two and three players, both described below."}],"author":[{"first_name":"Valentin","full_name":"Hübner, Valentin","last_name":"Hübner","orcid":"0009-0001-5009-4987","id":"2c8aa207-dc7d-11ea-9b2f-f22972ecd910"},{"last_name":"Kleshnina","full_name":"Kleshnina, Maria","first_name":"Maria"}],"related_material":{"record":[{"id":"15083","status":"public","relation":"used_in_publication"}]},"oa_version":"Published Version","day":"09","year":"2024","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","title":"Computer code for \"Efficiency and resilience of cooperation in asymmetric social dilemmas\"","_id":"15108","doi":"10.5281/ZENODO.10639167","license":"https://creativecommons.org/licenses/by/4.0/","department":[{"_id":"KrCh"}],"date_published":"2024-02-09T00:00:00Z","date_updated":"2026-10-15T10:10:25Z","has_accepted_license":"1","type":"research_data_reference","date_created":"2024-03-12T13:02:58Z"},{"quality_controlled":"1","publication":"Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)","abstract":[{"lang":"eng","text":"We study the classical problem of verifying programs with respect to formal specifications given in the linear temporal logic (LTL). We first present novel sound and complete witnesses for LTL verification over imperative programs. Our witnesses are applicable to both verification (proving) and refutation (finding bugs) settings. We then consider LTL formulas in which atomic propositions can be polynomial constraints and turn our focus to polynomial arithmetic programs, i.e. programs in which every assignment and guard consists only of polynomial expressions. For this setting, we provide an efficient algorithm to automatically synthesize such LTL witnesses. Our synthesis procedure is both sound and semi-complete. Finally, we present experimental results demonstrating the effectiveness of our approach and that it can handle programs which were beyond the reach of previous state-of-the-art tools."}],"related_material":{"record":[{"status":"public","id":"22798","relation":"research_data"}]},"author":[{"first_name":"Krishnendu","full_name":"Chatterjee, Krishnendu","last_name":"Chatterjee","orcid":"0000-0002-4561-241X","id":"2E5DCA20-F248-11E8-B48F-1D18A9856A87"},{"id":"391365CE-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0003-1702-6584","full_name":"Goharshady, Amir Kafshdar","last_name":"Goharshady","first_name":"Amir Kafshdar"},{"first_name":"Ehsan","last_name":"Goharshady","full_name":"Goharshady, Ehsan"},{"first_name":"Mehrdad","full_name":"Karrabi, Mehrdad","last_name":"Karrabi","orcid":"0009-0007-5253-9170","id":"67638922-f394-11eb-9cf6-f20423e08757"},{"first_name":"Dorde","full_name":"Zikelic, Dorde","last_name":"Zikelic","orcid":"0000-0002-4681-1699","id":"294AA7A6-F248-11E8-B48F-1D18A9856A87"}],"user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","year":"2024","researchdata_availability":"yes","external_id":{"arxiv":["2403.05386"],"isi":["001336893300031"]},"isi":1,"_id":"18155","ec_funded":1,"dataavailabilitystatement":"The implementations of the algorithms mentioned in the experiments section and the benchmarks are available at doi.org/10.5281/zenodo.12518217.","date_updated":"2026-10-16T07:29:39Z","date_published":"2024-09-11T00:00:00Z","das_tickbox":"1","publication_status":"published","project":[{"name":"Formal Methods for Stochastic Models: Algorithms and Applications","call_identifier":"H2020","grant_number":"863818","_id":"0599E47C-7A3F-11EA-A408-12923DDC885E"}],"article_processing_charge":"Yes (in subscription journal)","oa":1,"volume":14933,"fulldoi":"https://doi.org/10.1007/978-3-031-71162-6_31","tmp":{"image":"/images/cc_by.png","short":"CC BY (4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)"},"conference":{"end_date":"2024-09-13","start_date":"2024-09-09","name":"FM: Formal Methods","location":"Milan, Italy"},"oa_version":"Published Version","title":"Sound and complete witnesses for template-based verification of LTL properties on polynomial programs","page":"600-619","day":"11","publication_identifier":{"isbn":["9783031711619"],"issn":["0302-9743"],"eissn":["1611-3349"]},"acknowledgement":"This work was supported in part by the ERC-2020-CoG 863818 (FoRM-SMArt) and the Hong Kong Research Grants Council ECS Project Number 26208122.","file":[{"file_name":"2024_LNCS_Chatterjee.pdf","date_updated":"2024-10-01T09:56:54Z","file_size":650495,"relation":"main_file","file_id":"18165","access_level":"open_access","date_created":"2024-10-01T09:56:54Z","checksum":"223845be9e754681ee218866827c95e7","content_type":"application/pdf","creator":"dernst","success":1}],"department":[{"_id":"KrCh"}],"doi":"10.1007/978-3-031-71162-6_31","language":[{"iso":"eng"}],"has_accepted_license":"1","type":"conference","supplementarymaterial":"no","alternative_title":["LNCS"],"date_created":"2024-09-29T22:01:37Z","publisher":"Springer Nature","arxiv":1,"file_date_updated":"2024-10-01T09:56:54Z","status":"public","ddc":["000"],"month":"09","corr_author":"1","intvolume":"     14933","scopus_import":"1","citation":{"apa":"Chatterjee, K., Goharshady, A. K., Goharshady, E., Karrabi, M., &#38; Zikelic, D. (2024). Sound and complete witnesses for template-based verification of LTL properties on polynomial programs. In <i>Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)</i> (Vol. 14933, pp. 600–619). Milan, Italy: Springer Nature. <a href=\"https://doi.org/10.1007/978-3-031-71162-6_31\">https://doi.org/10.1007/978-3-031-71162-6_31</a>","ama":"Chatterjee K, Goharshady AK, Goharshady E, Karrabi M, Zikelic D. Sound and complete witnesses for template-based verification of LTL properties on polynomial programs. In: <i>Lecture Notes in Computer Science (Including Subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)</i>. Vol 14933. Springer Nature; 2024:600-619. doi:<a href=\"https://doi.org/10.1007/978-3-031-71162-6_31\">10.1007/978-3-031-71162-6_31</a>","chicago":"Chatterjee, Krishnendu, Amir Kafshdar Goharshady, Ehsan Goharshady, Mehrdad Karrabi, and Dorde Zikelic. “Sound and Complete Witnesses for Template-Based Verification of LTL Properties on Polynomial Programs.” In <i>Lecture Notes in Computer Science (Including Subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)</i>, 14933:600–619. Springer Nature, 2024. <a href=\"https://doi.org/10.1007/978-3-031-71162-6_31\">https://doi.org/10.1007/978-3-031-71162-6_31</a>.","ista":"Chatterjee K, Goharshady AK, Goharshady E, Karrabi M, Zikelic D. 2024. Sound and complete witnesses for template-based verification of LTL properties on polynomial programs. Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics). FM: Formal Methods, LNCS, vol. 14933, 600–619.","mla":"Chatterjee, Krishnendu, et al. “Sound and Complete Witnesses for Template-Based Verification of LTL Properties on Polynomial Programs.” <i>Lecture Notes in Computer Science (Including Subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)</i>, vol. 14933, Springer Nature, 2024, pp. 600–19, doi:<a href=\"https://doi.org/10.1007/978-3-031-71162-6_31\">10.1007/978-3-031-71162-6_31</a>.","short":"K. Chatterjee, A.K. Goharshady, E. Goharshady, M. Karrabi, D. Zikelic, in:, Lecture Notes in Computer Science (Including Subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), Springer Nature, 2024, pp. 600–619.","ieee":"K. Chatterjee, A. K. Goharshady, E. Goharshady, M. Karrabi, and D. Zikelic, “Sound and complete witnesses for template-based verification of LTL properties on polynomial programs,” in <i>Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)</i>, Milan, Italy, 2024, vol. 14933, pp. 600–619."}},{"publisher":"Repository","ddc":["000"],"status":"public","month":"06","main_file_link":[{"open_access":"1","url":"https://doi.org/10.5281/zenodo.12518216"}],"oa":1,"article_processing_charge":"No","citation":{"apa":"Chatterjee, K.,   Kafshdar Goharshady, A., Kafshdar Goharshady, E., Karrabi, M., &#38; Žikelić, Ð. (2024). Data for Sound and Complete Witnesses for Template-based Verification of LTL Properties on Polynomial Programs. Repository. <a href=\"https://doi.org/10.5281/zenodo.12518216\">https://doi.org/10.5281/zenodo.12518216</a>","chicago":"Chatterjee, Krishnendu, Amir   Kafshdar Goharshady, Ehsan Kafshdar Goharshady, Mehrdad Karrabi, and Ðorđe Žikelić. “Data for Sound and Complete Witnesses for Template-Based Verification of LTL Properties on Polynomial Programs.” Repository, 2024. <a href=\"https://doi.org/10.5281/zenodo.12518216\">https://doi.org/10.5281/zenodo.12518216</a>.","ama":"Chatterjee K,   Kafshdar Goharshady A, Kafshdar Goharshady E, Karrabi M, Žikelić Ð. Data for Sound and Complete Witnesses for Template-based Verification of LTL Properties on Polynomial Programs. 2024. doi:<a href=\"https://doi.org/10.5281/zenodo.12518216\">10.5281/zenodo.12518216</a>","ista":"Chatterjee K,   Kafshdar Goharshady A, Kafshdar Goharshady E, Karrabi M, Žikelić Ð. 2024. Data for Sound and Complete Witnesses for Template-based Verification of LTL Properties on Polynomial Programs, Repository, <a href=\"https://doi.org/10.5281/zenodo.12518216\">10.5281/zenodo.12518216</a>.","mla":"Chatterjee, Krishnendu, et al. <i>Data for Sound and Complete Witnesses for Template-Based Verification of LTL Properties on Polynomial Programs</i>. Repository, 2024, doi:<a href=\"https://doi.org/10.5281/zenodo.12518216\">10.5281/zenodo.12518216</a>.","ieee":"K. Chatterjee, A.   Kafshdar Goharshady, E. Kafshdar Goharshady, M. Karrabi, and Ð. Žikelić, “Data for Sound and Complete Witnesses for Template-based Verification of LTL Properties on Polynomial Programs.” Repository, 2024.","short":"K. Chatterjee, A.   Kafshdar Goharshady, E. Kafshdar Goharshady, M. Karrabi, Ð. Žikelić, (2024)."},"fulldoi":"https://doi.org/10.5281/zenodo.12518216","related_material":{"record":[{"relation":"used_in_publication","status":"public","id":"18155"}]},"oa_version":"None","author":[{"full_name":"Chatterjee, Krishnendu","last_name":"Chatterjee","first_name":"Krishnendu"},{"full_name":"  Kafshdar Goharshady, Amir","last_name":"  Kafshdar Goharshady","first_name":"Amir"},{"first_name":"Ehsan","full_name":"Kafshdar Goharshady, Ehsan","last_name":"Kafshdar Goharshady"},{"first_name":"Mehrdad","last_name":"Karrabi","full_name":"Karrabi, Mehrdad"},{"last_name":"Žikelić","full_name":"Žikelić, Ðorđe","first_name":"Ðorđe"}],"abstract":[{"text":"This repository contains the artifact of the paper titled \"Sound and Complete Witnesses for Template-based Verification of LTL Properties on Polynomial Programs\" accepted at FM 2024.\r\n\r\nThe task of verifying an LTL formula on a program can be reduced to verifying a Büchi specification on the product transition system. This tool takes a non-deterministic transition system together with a Büchi specification as input and based on user preferences tries to either (i) prove the existence of a run in the program that satisfies the Büchi condition or (ii) demonstrate that every run of the program satisfies the Büchi condition.\r\n \r\nThe tool is written in Java and works well with openjdk 11 on Ubuntu 22.04. Running all the experiments can take weeks to finish. We have provided a script for running the strongest configuration of our tool which solves most of the benchmarks and takes less than 48 hours. Detailed guidance is given in the readme file.","lang":"eng"}],"_id":"22798","title":"Data for Sound and Complete Witnesses for Template-based Verification of LTL Properties on Polynomial Programs","user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","OA_place":"repository","day":"24","year":"2024","OA_type":"green","date_updated":"2026-10-16T07:29:39Z","date_published":"2024-06-24T00:00:00Z","doi":"10.5281/zenodo.12518216","department":[{"_id":"KrCh"}],"date_created":"2026-09-03T11:50:15Z","type":"research_data_reference"},{"corr_author":"1","month":"12","citation":{"mla":"Svoboda, Jakub, and Krishnendu Chatterjee. “Density Amplifiers of Cooperation for Spatial Games.” <i>Proceedings of the National Academy of Sciences of the United States of America</i>, vol. 121, no. 50, e2405605121, National Academy of Sciences, 2024, doi:<a href=\"https://doi.org/10.1073/pnas.2405605121\">10.1073/pnas.2405605121</a>.","short":"J. Svoboda, K. Chatterjee, Proceedings of the National Academy of Sciences of the United States of America 121 (2024).","ieee":"J. Svoboda and K. Chatterjee, “Density amplifiers of cooperation for spatial games,” <i>Proceedings of the National Academy of Sciences of the United States of America</i>, vol. 121, no. 50. National Academy of Sciences, 2024.","chicago":"Svoboda, Jakub, and Krishnendu Chatterjee. “Density Amplifiers of Cooperation for Spatial Games.” <i>Proceedings of the National Academy of Sciences of the United States of America</i>. National Academy of Sciences, 2024. <a href=\"https://doi.org/10.1073/pnas.2405605121\">https://doi.org/10.1073/pnas.2405605121</a>.","apa":"Svoboda, J., &#38; Chatterjee, K. (2024). Density amplifiers of cooperation for spatial games. <i>Proceedings of the National Academy of Sciences of the United States of America</i>. National Academy of Sciences. <a href=\"https://doi.org/10.1073/pnas.2405605121\">https://doi.org/10.1073/pnas.2405605121</a>","ama":"Svoboda J, Chatterjee K. Density amplifiers of cooperation for spatial games. <i>Proceedings of the National Academy of Sciences of the United States of America</i>. 2024;121(50). doi:<a href=\"https://doi.org/10.1073/pnas.2405605121\">10.1073/pnas.2405605121</a>","ista":"Svoboda J, Chatterjee K. 2024. Density amplifiers of cooperation for spatial games. Proceedings of the National Academy of Sciences of the United States of America. 121(50), e2405605121."},"scopus_import":"1","intvolume":"       121","publisher":"National Academy of Sciences","issue":"50","ddc":["000"],"status":"public","file_date_updated":"2025-01-02T12:14:15Z","article_number":"e2405605121","doi":"10.1073/pnas.2405605121","license":"https://creativecommons.org/licenses/by-nc-nd/4.0/","department":[{"_id":"KrCh"}],"file":[{"file_id":"18721","relation":"main_file","date_updated":"2025-01-02T12:14:15Z","file_size":2491151,"file_name":"2024_PNAS_Svoboda.pdf","access_level":"open_access","date_created":"2025-01-02T12:14:15Z","success":1,"creator":"dernst","content_type":"application/pdf","checksum":"0115e9090b478e0644308c6dab58605b"}],"date_created":"2024-12-22T23:01:47Z","supplementarymaterial":"yes","type":"journal_article","has_accepted_license":"1","APC_amount":"3143,76 EUR","language":[{"iso":"eng"}],"oa_version":"Published Version","acknowledgement":"J.S. and K.C. were supported by the European Research Council CoG 863818 (ForM-SMArt) and Austrian Science Fund 10.55776/COE12.","publication_identifier":{"issn":["0027-8424"],"eissn":["1091-6490"]},"day":"10","title":"Density amplifiers of cooperation for spatial games","oa":1,"article_processing_charge":"Yes","tmp":{"image":"/images/cc_by_nc_nd.png","short":"CC BY-NC-ND (4.0)","legal_code_url":"https://creativecommons.org/licenses/by-nc-nd/4.0/legalcode","name":"Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0)"},"volume":121,"fulldoi":"https://doi.org/10.1073/pnas.2405605121","project":[{"call_identifier":"H2020","name":"Formal Methods for Stochastic Models: Algorithms and Applications","_id":"0599E47C-7A3F-11EA-A408-12923DDC885E","grant_number":"863818"}],"das_tickbox":"1","date_published":"2024-12-10T00:00:00Z","ec_funded":1,"dataavailabilitystatement":"Code data have been deposited in Code: Amplifiers of Cooperation (DOI: https://doi.org/10.5281/zenodo.10832535)","OA_type":"hybrid","date_updated":"2026-10-16T08:00:05Z","pmid":1,"publication_status":"published","author":[{"full_name":"Svoboda, Jakub","last_name":"Svoboda","first_name":"Jakub","id":"130759D2-D7DD-11E9-87D2-DE0DE6697425","orcid":"0000-0002-1419-3267"},{"first_name":"Krishnendu","full_name":"Chatterjee, Krishnendu","last_name":"Chatterjee","orcid":"0000-0002-4561-241X","id":"2E5DCA20-F248-11E8-B48F-1D18A9856A87"}],"article_type":"original","related_material":{"record":[{"status":"public","id":"20138","relation":"dissertation_contains"}]},"abstract":[{"lang":"eng","text":"Spatial games provide a simple and elegant mathematical model to study the evolution of cooperation in networks. In spatial games, individuals reside in vertices, adopt simple strategies, and interact with neighbors to receive a payoff. Depending on their own and neighbors’ payoffs, individuals can change their strategy. The payoff is determined by the Prisoners’ Dilemma, a classical matrix game, where players cooperate or defect. While cooperation is the desired behavior, defection provides a higher payoff for a selfish individual. There are many theoretical and empirical studies related to the role of the network in the evolution of cooperation. However, the fundamental question of whether there exist networks that for low initial cooperation rate ensure a high chance of fixation, i.e., cooperation spreads across the whole population, has remained elusive for spatial games with strong selection. In this work, we answer this fundamental question in the affirmative by presenting network structures that ensure high fixation probability for cooperators in the strong selection regime. Besides, our structures have many desirable properties: (a) they ensure the spread of cooperation even for a low initial density of cooperation and high temptation of defection, (b) they have constant degrees, and (c) the number of steps, until cooperation spreads, is at most quadratic in the size of the network."}],"publication":"Proceedings of the National Academy of Sciences of the United States of America","quality_controlled":"1","_id":"18703","isi":1,"external_id":{"pmid":["39642209"],"isi":["001379596100014"]},"researchdata_availability":"yes","year":"2024","user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","OA_place":"publisher"},{"user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","OA_place":"publisher","researchdata_availability":"no","year":"2024","external_id":{"arxiv":["2104.07278"],"isi":["001367316400002"]},"_id":"18630","isi":1,"DOAJ_listed":"1","quality_controlled":"1","publication":"Logical Methods in Computer Science","abstract":[{"text":"Markov chains are the de facto finite-state model for stochastic dynamical systems, and Markov decision processes (MDPs) extend Markov chains by incorporating non-deterministic behaviors. Given an MDP and rewards on states, a classical optimization criterion is the maximal expected total reward where the MDP stops after T steps, which can be computed by a simple dynamic programming algorithm. We consider a natural generalization of the problem where the stopping times can be chosen according to a probability distribution, such that the expected stopping time is T, to optimize the expected total reward. Quite surprisingly we establish inter-reducibility of the expected stopping-time problem for Markov chains with the Positivity problem (which is related to the well-known Skolem problem), for which establishing either decidability or undecidability would be a major breakthrough. Given the hardness of the exact problem, we consider the approximate version of the problem: we show that it can be solved in exponential time for Markov chains and in exponential space for MDPs.","lang":"eng"}],"related_material":{"record":[{"relation":"earlier_version","status":"public","id":"10004"}]},"author":[{"last_name":"Chatterjee","full_name":"Chatterjee, Krishnendu","first_name":"Krishnendu","id":"2E5DCA20-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-4561-241X"},{"last_name":"Doyen","full_name":"Doyen, Laurent","first_name":"Laurent"}],"article_type":"original","publication_status":"published","ec_funded":1,"OA_type":"gold","date_updated":"2026-10-16T07:57:38Z","das_tickbox":"0","date_published":"2024-11-12T00:00:00Z","project":[{"call_identifier":"H2020","name":"Formal Methods for Stochastic Models: Algorithms and Applications","_id":"0599E47C-7A3F-11EA-A408-12923DDC885E","grant_number":"863818"}],"fulldoi":"https://doi.org/10.46298/lmcs-20(4:11)2024","volume":20,"tmp":{"image":"/images/cc_by.png","short":"CC BY (4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)"},"oa":1,"article_processing_charge":"Yes","title":"Stochastic processes with expected stopping time","page":"11:1-11:34","day":"12","publication_identifier":{"eissn":["1860-5974"]},"acknowledgement":"The authors are grateful to the anonymous reviewers of LICS 2021 and of a previous version of this paper for insightful comments that helped improving the presentation. The research presented in this paper was partially supported by the grant ERC CoG 863818 (ForM-SMArt).","oa_version":"Published Version","language":[{"iso":"eng"}],"has_accepted_license":"1","type":"journal_article","supplementarymaterial":"no","alternative_title":["LMCS"],"date_created":"2024-12-08T23:01:56Z","file":[{"date_created":"2024-12-09T08:38:48Z","access_level":"open_access","file_name":"2024_LMCS_Chatterjee.pdf","date_updated":"2024-12-09T08:38:48Z","file_size":416814,"relation":"main_file","file_id":"18633","checksum":"b3315c74ce18ce0a30ed33d8c9972992","content_type":"application/pdf","creator":"dernst","success":1}],"department":[{"_id":"KrCh"}],"doi":"10.46298/lmcs-20(4:11)2024","arxiv":1,"file_date_updated":"2024-12-09T08:38:48Z","status":"public","ddc":["000"],"issue":"4","publisher":"EPI Sciences","intvolume":"        20","scopus_import":"1","citation":{"apa":"Chatterjee, K., &#38; Doyen, L. (2024). Stochastic processes with expected stopping time. <i>Logical Methods in Computer Science</i>. EPI Sciences. <a href=\"https://doi.org/10.46298/lmcs-20(4:11)2024\">https://doi.org/10.46298/lmcs-20(4:11)2024</a>","chicago":"Chatterjee, Krishnendu, and Laurent Doyen. “Stochastic Processes with Expected Stopping Time.” <i>Logical Methods in Computer Science</i>. EPI Sciences, 2024. <a href=\"https://doi.org/10.46298/lmcs-20(4:11)2024\">https://doi.org/10.46298/lmcs-20(4:11)2024</a>.","ama":"Chatterjee K, Doyen L. Stochastic processes with expected stopping time. <i>Logical Methods in Computer Science</i>. 2024;20(4):11:1-11:34. doi:<a href=\"https://doi.org/10.46298/lmcs-20(4:11)2024\">10.46298/lmcs-20(4:11)2024</a>","ista":"Chatterjee K, Doyen L. 2024. Stochastic processes with expected stopping time. Logical Methods in Computer Science. 20(4), 11:1-11:34.","mla":"Chatterjee, Krishnendu, and Laurent Doyen. “Stochastic Processes with Expected Stopping Time.” <i>Logical Methods in Computer Science</i>, vol. 20, no. 4, EPI Sciences, 2024, p. 11:1-11:34, doi:<a href=\"https://doi.org/10.46298/lmcs-20(4:11)2024\">10.46298/lmcs-20(4:11)2024</a>.","ieee":"K. Chatterjee and L. Doyen, “Stochastic processes with expected stopping time,” <i>Logical Methods in Computer Science</i>, vol. 20, no. 4. EPI Sciences, p. 11:1-11:34, 2024.","short":"K. Chatterjee, L. Doyen, Logical Methods in Computer Science 20 (2024) 11:1-11:34."},"month":"11","corr_author":"1"},{"volume":14550,"fulldoi":"https://doi.org/10.1007/978-3-031-67695-6_4","article_processing_charge":"No","oa":1,"main_file_link":[{"open_access":"1","url":" https://doi.org/10.48550/arXiv.2405.13583"}],"publication_status":"published","dataavailabilitystatement":"All model files used for the comparison, as well as the resulting log files, are available at DOI 10.5281/zenodo.8219191","OA_type":"green","date_updated":"2026-10-16T07:53:26Z","date_published":"2024-11-01T00:00:00Z","das_tickbox":"1","OA_place":"repository","user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","researchdata_availability":"yes","year":"2024","external_id":{"arxiv":["2405.13583"],"isi":["001434957500004"]},"isi":1,"_id":"18600","quality_controlled":"1","publication":"TOOLympics Challenge 2023","abstract":[{"lang":"eng","text":"The analysis of formal models that include quantitative aspects such as timing or probabilistic choices is performed by quantitative verification tools. Broad and mature tool support is available for computing basic properties such as expected rewards on basic models such as Markov chains. Previous editions of QComp, the comparison of tools for the analysis of quantitative formal models, focused on this setting. Many application scenarios, however, require more advanced property types such as LTL and parameter synthesis queries as well as advanced models like stochastic games and partially observable MDPs. For these, tool support is in its infancy today. This paper presents the outcomes of QComp 2023: a survey of the state of the art in quantitative verification tool support for advanced property types and models. With tools ranging from first research prototypes to well-supported integrations into established toolsets, this report highlights today’s active areas and tomorrow’s challenges in tool-focused research for quantitative verification."}],"related_material":{"record":[{"id":"23142","status":"public","relation":"research_data"}]},"author":[{"first_name":"Roman","last_name":"Andriushchenko","full_name":"Andriushchenko, Roman"},{"first_name":"Alexander","last_name":"Bork","full_name":"Bork, Alexander"},{"first_name":"Carlos E.","full_name":"Budde, Carlos E.","last_name":"Budde"},{"first_name":"Milan","full_name":"Češka, Milan","last_name":"Češka"},{"first_name":"Kush","full_name":"Grover, Kush","last_name":"Grover"},{"first_name":"Ernst Moritz","last_name":"Hahn","full_name":"Hahn, Ernst Moritz"},{"first_name":"Arnd","full_name":"Hartmanns, Arnd","last_name":"Hartmanns"},{"first_name":"Bryant","last_name":"Israelsen","full_name":"Israelsen, Bryant"},{"last_name":"Jansen","full_name":"Jansen, Nils","first_name":"Nils"},{"first_name":"Joshua","last_name":"Jeppson","full_name":"Jeppson, Joshua"},{"first_name":"Sebastian","full_name":"Junges, Sebastian","last_name":"Junges"},{"first_name":"Maximilian A.","full_name":"Köhl, Maximilian A.","last_name":"Köhl"},{"first_name":"Bettina","last_name":"Könighofer","full_name":"Könighofer, Bettina"},{"first_name":"Jan","last_name":"Kretinsky","full_name":"Kretinsky, Jan","orcid":"0000-0002-8122-2881","id":"44CEF464-F248-11E8-B48F-1D18A9856A87"},{"full_name":"Meggendorfer, Tobias","last_name":"Meggendorfer","first_name":"Tobias","id":"b21b0c15-30a2-11eb-80dc-f13ca25802e1","orcid":"0000-0002-1712-2165"},{"last_name":"Parker","full_name":"Parker, David","first_name":"David"},{"first_name":"Stefan","last_name":"Pranger","full_name":"Pranger, Stefan"},{"full_name":"Quatmann, Tim","last_name":"Quatmann","first_name":"Tim"},{"first_name":"Enno","full_name":"Ruijters, Enno","last_name":"Ruijters"},{"first_name":"Landon","last_name":"Taylor","full_name":"Taylor, Landon"},{"first_name":"Matthias","full_name":"Volk, Matthias","last_name":"Volk"},{"first_name":"Maximilian","full_name":"Weininger, Maximilian","last_name":"Weininger","orcid":"0000-0002-0163-2152","id":"02ab0197-cc70-11ed-ab61-918e71f56881"},{"full_name":"Zhang, Zhen","last_name":"Zhang","first_name":"Zhen"}],"intvolume":"     14550","scopus_import":"1","citation":{"mla":"Andriushchenko, Roman, et al. “Tools at the Frontiers of Quantitative Verification: QComp 2023 Competition Report.” <i>TOOLympics Challenge 2023</i>, vol. 14550, Springer Nature, 2024, pp. 90–146, doi:<a href=\"https://doi.org/10.1007/978-3-031-67695-6_4\">10.1007/978-3-031-67695-6_4</a>.","short":"R. Andriushchenko, A. Bork, C.E. Budde, M. Češka, K. Grover, E.M. Hahn, A. Hartmanns, B. Israelsen, N. Jansen, J. Jeppson, S. Junges, M.A. Köhl, B. Könighofer, J. Kretinsky, T. Meggendorfer, D. Parker, S. Pranger, T. Quatmann, E. Ruijters, L. Taylor, M. Volk, M. Weininger, Z. Zhang, in:, TOOLympics Challenge 2023, Springer Nature, 2024, pp. 90–146.","ieee":"R. Andriushchenko <i>et al.</i>, “Tools at the Frontiers of Quantitative Verification: QComp 2023 Competition Report,” in <i>TOOLympics Challenge 2023</i>, 2024, vol. 14550, pp. 90–146.","ama":"Andriushchenko R, Bork A, Budde CE, et al. Tools at the Frontiers of Quantitative Verification: QComp 2023 Competition Report. In: <i>TOOLympics Challenge 2023</i>. Vol 14550. Springer Nature; 2024:90-146. doi:<a href=\"https://doi.org/10.1007/978-3-031-67695-6_4\">10.1007/978-3-031-67695-6_4</a>","chicago":"Andriushchenko, Roman, Alexander Bork, Carlos E. Budde, Milan Češka, Kush Grover, Ernst Moritz Hahn, Arnd Hartmanns, et al. “Tools at the Frontiers of Quantitative Verification: QComp 2023 Competition Report.” In <i>TOOLympics Challenge 2023</i>, 14550:90–146. Springer Nature, 2024. <a href=\"https://doi.org/10.1007/978-3-031-67695-6_4\">https://doi.org/10.1007/978-3-031-67695-6_4</a>.","apa":"Andriushchenko, R., Bork, A., Budde, C. E., Češka, M., Grover, K., Hahn, E. M., … Zhang, Z. (2024). Tools at the Frontiers of Quantitative Verification: QComp 2023 Competition Report. In <i>TOOLympics Challenge 2023</i> (Vol. 14550, pp. 90–146). Springer Nature. <a href=\"https://doi.org/10.1007/978-3-031-67695-6_4\">https://doi.org/10.1007/978-3-031-67695-6_4</a>","ista":"Andriushchenko R, Bork A, Budde CE, Češka M, Grover K, Hahn EM, Hartmanns A, Israelsen B, Jansen N, Jeppson J, Junges S, Köhl MA, Könighofer B, Kretinsky J, Meggendorfer T, Parker D, Pranger S, Quatmann T, Ruijters E, Taylor L, Volk M, Weininger M, Zhang Z. 2024. Tools at the Frontiers of Quantitative Verification: QComp 2023 Competition Report. TOOLympics Challenge 2023. , LNCS, vol. 14550, 90–146."},"month":"11","arxiv":1,"status":"public","publisher":"Springer Nature","language":[{"iso":"eng"}],"type":"conference","supplementarymaterial":"no","alternative_title":["LNCS"],"date_created":"2024-12-01T23:01:53Z","department":[{"_id":"KrCh"}],"doi":"10.1007/978-3-031-67695-6_4","page":"90-146","title":"Tools at the Frontiers of Quantitative Verification: QComp 2023 Competition Report","day":"01","publication_identifier":{"issn":["0302-9743"],"isbn":["9783031676949"],"eissn":["1611-3349"]},"acknowledgement":"The authors are ordered alphabetically. This work was supported by DFG RTG 2236/2 (UnRAVeL) and DFG project TRR 248 (CPEC, ID 389792660), by the EU under MSCA grant agreements 101008233 (MISSION), 101034413 (IST-BRIDGE), and 101067199 (ProSVED), by ERC Starting Grant 101077178 (DEUCE), ERC Consolidator Grant 864075 (CAESAR), and ERC Advanced Grant 834115 (FUN2MODEL), by GAČR grant GA23-06963S (VESCAA), by National Science Foundation grant 1856733, by NextGenerationEU project D53D23008400006 (SMARTITUDE), and by NWO VENI grant 639.021.754.","oa_version":"Preprint"},{"publication_identifier":{"isbn":["9783959773553"],"issn":["1868-8969"]},"acknowledgement":"This research was partially supported by ERC CoG 863818 (ForM-SMArt), Austrian\r\nScience Fund (FWF) 10.55776/COE12, and French Agence Nationale de la Recherche (ANR)\r\nANR-21-CE40-0020 (CONVERGENCE project)","title":"Concurrent stochastic games with stateful-discounted and parity objectives: Complexity and algorithms","day":"05","oa_version":"Published Version","supplementarymaterial":"no","date_created":"2024-06-03T07:44:27Z","alternative_title":["LIPIcs"],"language":[{"iso":"eng"}],"has_accepted_license":"1","type":"conference","file":[{"checksum":"5b544ab4692b93300b404435c036ddd4","content_type":"application/pdf","creator":"dernst","success":1,"file_name":"2024_LIPIcs_Asadi.pdf","relation":"main_file","file_size":847960,"date_updated":"2025-01-08T09:49:31Z","file_id":"18777","date_created":"2025-01-08T09:49:31Z","access_level":"open_access"}],"department":[{"_id":"KrCh"}],"doi":"10.4230/LIPIcs.FSTTCS.2024.5","ddc":["000"],"arxiv":1,"file_date_updated":"2025-01-08T09:49:31Z","article_number":"5","status":"public","publisher":"Schloss Dagstuhl - Leibniz-Zentrum für Informatik","scopus_import":"1","citation":{"short":"A. Asadi, K. Chatterjee, R.J. Saona Urmeneta, J. Svoboda, in:, 44th IARCS Annual Conference on Foundations of Software Technology and Theoretical Computer Science, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2024.","ieee":"A. Asadi, K. Chatterjee, R. J. Saona Urmeneta, and J. Svoboda, “Concurrent stochastic games with stateful-discounted and parity objectives: Complexity and algorithms,” in <i>44th IARCS Annual Conference on Foundations of Software Technology and Theoretical Computer Science</i>, Gujarat, India, 2024, vol. 323.","mla":"Asadi, Ali, et al. “Concurrent Stochastic Games with Stateful-Discounted and Parity Objectives: Complexity and Algorithms.” <i>44th IARCS Annual Conference on Foundations of Software Technology and Theoretical Computer Science</i>, vol. 323, 5, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2024, doi:<a href=\"https://doi.org/10.4230/LIPIcs.FSTTCS.2024.5\">10.4230/LIPIcs.FSTTCS.2024.5</a>.","ista":"Asadi A, Chatterjee K, Saona Urmeneta RJ, Svoboda J. 2024. Concurrent stochastic games with stateful-discounted and parity objectives: Complexity and algorithms. 44th IARCS Annual Conference on Foundations of Software Technology and Theoretical Computer Science. FSTTCS: Foundations of Software Technology and Theoretical Computer Science, LIPIcs, vol. 323, 5.","ama":"Asadi A, Chatterjee K, Saona Urmeneta RJ, Svoboda J. Concurrent stochastic games with stateful-discounted and parity objectives: Complexity and algorithms. In: <i>44th IARCS Annual Conference on Foundations of Software Technology and Theoretical Computer Science</i>. Vol 323. Schloss Dagstuhl - Leibniz-Zentrum für Informatik; 2024. doi:<a href=\"https://doi.org/10.4230/LIPIcs.FSTTCS.2024.5\">10.4230/LIPIcs.FSTTCS.2024.5</a>","apa":"Asadi, A., Chatterjee, K., Saona Urmeneta, R. J., &#38; Svoboda, J. (2024). Concurrent stochastic games with stateful-discounted and parity objectives: Complexity and algorithms. In <i>44th IARCS Annual Conference on Foundations of Software Technology and Theoretical Computer Science</i> (Vol. 323). Gujarat, India: Schloss Dagstuhl - Leibniz-Zentrum für Informatik. <a href=\"https://doi.org/10.4230/LIPIcs.FSTTCS.2024.5\">https://doi.org/10.4230/LIPIcs.FSTTCS.2024.5</a>","chicago":"Asadi, Ali, Krishnendu Chatterjee, Raimundo J Saona Urmeneta, and Jakub Svoboda. “Concurrent Stochastic Games with Stateful-Discounted and Parity Objectives: Complexity and Algorithms.” In <i>44th IARCS Annual Conference on Foundations of Software Technology and Theoretical Computer Science</i>, Vol. 323. Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2024. <a href=\"https://doi.org/10.4230/LIPIcs.FSTTCS.2024.5\">https://doi.org/10.4230/LIPIcs.FSTTCS.2024.5</a>."},"intvolume":"       323","month":"12","corr_author":"1","external_id":{"arxiv":["2405.02486"],"isi":["001537516500005"]},"_id":"17099","isi":1,"user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","OA_place":"publisher","researchdata_availability":"no","year":"2024","related_material":{"record":[{"relation":"dissertation_contains","status":"public","id":"23079"}]},"author":[{"full_name":"Asadi, Ali","last_name":"Asadi","first_name":"Ali","id":"02d96aae-000e-11ec-b801-cadd0a5eefbb"},{"id":"2E5DCA20-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-4561-241X","last_name":"Chatterjee","full_name":"Chatterjee, Krishnendu","first_name":"Krishnendu"},{"orcid":"0000-0001-5103-038X","id":"BD1DF4C4-D767-11E9-B658-BC13E6697425","first_name":"Raimundo J","last_name":"Saona Urmeneta","full_name":"Saona Urmeneta, Raimundo J"},{"orcid":"0000-0002-1419-3267","id":"130759D2-D7DD-11E9-87D2-DE0DE6697425","first_name":"Jakub","last_name":"Svoboda","full_name":"Svoboda, Jakub"}],"quality_controlled":"1","publication":"44th IARCS Annual Conference on Foundations of Software Technology and Theoretical Computer Science","abstract":[{"lang":"eng","text":"We study two-player zero-sum concurrent stochastic games with finite state and action space played for an infinite number of steps. In every step, the two players simultaneously and independently choose an action. Given the current state and the chosen actions, the next state is obtained according to a stochastic transition function. An objective is a measurable function on plays (or infinite trajectories) of the game, and the value for an objective is the maximal expectation that the player can guarantee against the adversarial player. We consider: (a) stateful-discounted objectives, which are similar to the classical discounted-sum objectives, but states are associated with different discount factors rather than a single discount factor; and (b) parity objectives, which are a canonical representation for ω-regular objectives. For stateful-discounted objectives, given an ordering of the discount factors, the limit value is the limit of the value of the stateful-discounted objectives, as the discount factors approach zero according to the given order.\r\nThe computational problem we consider is the approximation of the value within an arbitrary\r\nadditive error. The above problem is known to be in EXPSPACE for the limit value of statefuldiscounted objectives and in PSPACE for parity objectives. The best-known algorithms for both the above problems are at least exponential time, with an exponential dependence on the number of states and actions. Our main results for the value approximation problem for the limit value of stateful-discounted objectives and parity objectives are as follows: (a) we establish TFNP[NP] complexity; and (b) we present algorithms that improve the dependency on the number of actions in the exponent from linear to logarithmic. In particular, if the number of states is constant, our algorithms run in polynomial time."}],"publication_status":"published","OA_type":"gold","date_updated":"2026-10-16T08:00:46Z","ec_funded":1,"das_tickbox":"0","date_published":"2024-12-05T00:00:00Z","project":[{"name":"Formal Methods for Stochastic Models: Algorithms and Applications","call_identifier":"H2020","grant_number":"863818","_id":"0599E47C-7A3F-11EA-A408-12923DDC885E"}],"tmp":{"image":"/images/cc_by.png","short":"CC BY (4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)"},"conference":{"name":"FSTTCS: Foundations of Software Technology and Theoretical Computer Science","location":"Gujarat, India","end_date":"2024-12-18","start_date":"2024-12-16"},"fulldoi":"https://doi.org/10.4230/LIPIcs.FSTTCS.2024.5","volume":323,"article_processing_charge":"No","oa":1},{"publication_status":"published","date_published":"2024-09-01T00:00:00Z","das_tickbox":"0","ec_funded":1,"date_updated":"2026-10-16T08:08:15Z","_id":"18159","external_id":{"arxiv":["2405.04015"]},"researchdata_availability":"no","year":"2024","user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","author":[{"first_name":"S","full_name":"Akshay, S","last_name":"Akshay"},{"last_name":"Chatterjee","full_name":"Chatterjee, Krishnendu","first_name":"Krishnendu","id":"2E5DCA20-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-4561-241X"},{"id":"b21b0c15-30a2-11eb-80dc-f13ca25802e1","orcid":"0000-0002-1712-2165","full_name":"Meggendorfer, Tobias","last_name":"Meggendorfer","first_name":"Tobias"},{"full_name":"Zikelic, Dorde","last_name":"Zikelic","first_name":"Dorde","id":"294AA7A6-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-4681-1699"}],"abstract":[{"text":"Markov Decision Processes (MDPs) are a classical model for decision making in the presence of uncertainty. Often they are viewed as state transformers with planning objectives defned with respect to paths over MDP states. An increasingly\r\npopular alternative is to view them as distribution transformers, giving rise to a sequence of probability distributions over MDP states. For instance, reachability and safety properties in modeling robot swarms or chemical reaction networks are naturally defned in terms of probability distributions over states. Verifying such distributional properties is known to be hard and often beyond the reach of classical state-based verifcation techniques. In this work, we consider the problems of certifed policy (i.e. controller) verifcation and synthesis in MDPs under distributional reach-avoidance specifcations. By certifed we mean that, along with a policy, we also aim to synthesize a (checkable) certifcate ensuring that the MDP indeed satisfes the property. Thus, given the target set of distributions and an unsafe set of distributions over MDP states, our goal is to either synthesize a certifcate for a given policy or synthesize a policy along with a certifcate, proving that the target distribution can be reached while avoiding unsafe distributions. To solve this problem, we introduce the novel notion of distributional reach-avoid certifcates and present automated procedures for (1) synthesizing a certifcate for a given policy, and (2) synthesizing a policy together with the certifcate, both providing formal guarantees on certifcate correctness. Our experimental evaluation demonstrates the ability of our method to solve several non-trivial examples, including a multi-agent robot-swarm model, to synthesize certifed policies and to certify existing policies. ","lang":"eng"}],"quality_controlled":"1","publication":"Proceedings of the Thirty-Third International Joint Conference on Artificial Intelligence","conference":{"location":"Jeju, Korea","name":"IJCAI: International Joint Conference on Artificial Intelligence","end_date":"2024-08-09","start_date":"2024-08-03"},"fulldoi":"https://doi.org/10.24963/ijcai.2024/1","main_file_link":[{"url":"https://doi.org/10.48550/arXiv.2405.04015","open_access":"1"}],"article_processing_charge":"No","oa":1,"project":[{"grant_number":"863818","_id":"0599E47C-7A3F-11EA-A408-12923DDC885E","call_identifier":"H2020","name":"Formal Methods for Stochastic Models: Algorithms and Applications"}],"date_created":"2024-09-29T22:01:38Z","supplementarymaterial":"no","type":"conference","language":[{"iso":"eng"}],"doi":"10.24963/ijcai.2024/1","department":[{"_id":"KrCh"}],"acknowledgement":"This work was supported in part by the ERC-2020-CoG 863818 (FoRM-SMArt), the Singapore Ministry of Education (MOE) Academic Research Fund (AcRF) Tier 1 grant, Google Research Award 2023 and the SBI Foundation Hub for Data and Analytics.","publication_identifier":{"isbn":["9781956792041"],"issn":["1045-0823"]},"day":"01","title":"Certified policy verification and synthesis for MDPs under distributional reach-avoidance properties","page":"3-12","oa_version":"Preprint","citation":{"mla":"Akshay, S., et al. “Certified Policy Verification and Synthesis for MDPs under Distributional Reach-Avoidance Properties.” <i>Proceedings of the Thirty-Third International Joint Conference on Artificial Intelligence</i>, International Joint Conferences on Artificial Intelligence, 2024, pp. 3–12, doi:<a href=\"https://doi.org/10.24963/ijcai.2024/1\">10.24963/ijcai.2024/1</a>.","short":"S. Akshay, K. Chatterjee, T. Meggendorfer, D. Zikelic, in:, Proceedings of the Thirty-Third International Joint Conference on Artificial Intelligence, International Joint Conferences on Artificial Intelligence, 2024, pp. 3–12.","ieee":"S. Akshay, K. Chatterjee, T. Meggendorfer, and D. Zikelic, “Certified policy verification and synthesis for MDPs under distributional reach-avoidance properties,” in <i>Proceedings of the Thirty-Third International Joint Conference on Artificial Intelligence</i>, Jeju, Korea, 2024, pp. 3–12.","ama":"Akshay S, Chatterjee K, Meggendorfer T, Zikelic D. Certified policy verification and synthesis for MDPs under distributional reach-avoidance properties. In: <i>Proceedings of the Thirty-Third International Joint Conference on Artificial Intelligence</i>. International Joint Conferences on Artificial Intelligence; 2024:3-12. doi:<a href=\"https://doi.org/10.24963/ijcai.2024/1\">10.24963/ijcai.2024/1</a>","apa":"Akshay, S., Chatterjee, K., Meggendorfer, T., &#38; Zikelic, D. (2024). Certified policy verification and synthesis for MDPs under distributional reach-avoidance properties. In <i>Proceedings of the Thirty-Third International Joint Conference on Artificial Intelligence</i> (pp. 3–12). Jeju, Korea: International Joint Conferences on Artificial Intelligence. <a href=\"https://doi.org/10.24963/ijcai.2024/1\">https://doi.org/10.24963/ijcai.2024/1</a>","chicago":"Akshay, S, Krishnendu Chatterjee, Tobias Meggendorfer, and Dorde Zikelic. “Certified Policy Verification and Synthesis for MDPs under Distributional Reach-Avoidance Properties.” In <i>Proceedings of the Thirty-Third International Joint Conference on Artificial Intelligence</i>, 3–12. International Joint Conferences on Artificial Intelligence, 2024. <a href=\"https://doi.org/10.24963/ijcai.2024/1\">https://doi.org/10.24963/ijcai.2024/1</a>.","ista":"Akshay S, Chatterjee K, Meggendorfer T, Zikelic D. 2024. Certified policy verification and synthesis for MDPs under distributional reach-avoidance properties. Proceedings of the Thirty-Third International Joint Conference on Artificial Intelligence. IJCAI: International Joint Conference on Artificial Intelligence, 3–12."},"scopus_import":"1","corr_author":"1","month":"09","status":"public","arxiv":1,"publisher":"International Joint Conferences on Artificial Intelligence"},{"publisher":"Springer Nature","ddc":["000"],"status":"public","file_date_updated":"2025-01-09T07:31:31Z","month":"10","citation":{"mla":"Chatterjee, Krishnendu, et al. “Stochastic Games with Lexicographic Objectives.” <i>Formal Methods in System Design</i>, vol. 63, Springer Nature, 2024, pp. 40–80, doi:<a href=\"https://doi.org/10.1007/s10703-023-00411-4\">10.1007/s10703-023-00411-4</a>.","short":"K. Chatterjee, J.P. Katoen, S. Mohr, M. Weininger, T. Winkler, Formal Methods in System Design 63 (2024) 40–80.","ieee":"K. Chatterjee, J. P. Katoen, S. Mohr, M. Weininger, and T. Winkler, “Stochastic games with lexicographic objectives,” <i>Formal Methods in System Design</i>, vol. 63. Springer Nature, pp. 40–80, 2024.","chicago":"Chatterjee, Krishnendu, Joost P Katoen, Stefanie Mohr, Maximilian Weininger, and Tobias Winkler. “Stochastic Games with Lexicographic Objectives.” <i>Formal Methods in System Design</i>. Springer Nature, 2024. <a href=\"https://doi.org/10.1007/s10703-023-00411-4\">https://doi.org/10.1007/s10703-023-00411-4</a>.","ama":"Chatterjee K, Katoen JP, Mohr S, Weininger M, Winkler T. Stochastic games with lexicographic objectives. <i>Formal Methods in System Design</i>. 2024;63:40-80. doi:<a href=\"https://doi.org/10.1007/s10703-023-00411-4\">10.1007/s10703-023-00411-4</a>","apa":"Chatterjee, K., Katoen, J. P., Mohr, S., Weininger, M., &#38; Winkler, T. (2024). Stochastic games with lexicographic objectives. <i>Formal Methods in System Design</i>. Springer Nature. <a href=\"https://doi.org/10.1007/s10703-023-00411-4\">https://doi.org/10.1007/s10703-023-00411-4</a>","ista":"Chatterjee K, Katoen JP, Mohr S, Weininger M, Winkler T. 2024. Stochastic games with lexicographic objectives. Formal Methods in System Design. 63, 40–80."},"scopus_import":"1","intvolume":"        63","oa_version":"Published Version","acknowledgement":"Tobias Winkler and Joost-Pieter Katoen are supported by the DFG RTG 2236 UnRAVeL and the innovation programme under the Marie Skłodowska-Curie grant agreement No. 101008233 (Mission). Krishnendu Chatterjee is supported by the ERC CoG 863818 (ForM-SMArt) and the Vienna Science and Technology Fund (WWTF) Project ICT15-003. Maximilian Weininger is supported by the DFG projects 383882557 Statistical Unbounded Verification (SUV) and 427755713 Group-By Objectives in Probabilistic Verification (GOPro). Stefanie Mohr is supported by the DFG RTG 2428 CONVEY. Open Access funding enabled and organized by Projekt DEAL.","publication_identifier":{"eissn":["1572-8102"]},"day":"01","title":"Stochastic games with lexicographic objectives","page":"40-80","doi":"10.1007/s10703-023-00411-4","department":[{"_id":"KrCh"}],"file":[{"content_type":"application/pdf","checksum":"111e76b76163640a2c89237642af586f","creator":"dernst","success":1,"file_name":"2024_FromMethodsSys_Chatterjee.pdf","relation":"main_file","file_size":2614190,"date_updated":"2025-01-09T07:31:31Z","file_id":"18781","date_created":"2025-01-09T07:31:31Z","access_level":"open_access"}],"date_created":"2023-03-19T23:00:59Z","supplementarymaterial":"no","type":"journal_article","has_accepted_license":"1","language":[{"iso":"eng"}],"project":[{"name":"Formal Methods for Stochastic Models: Algorithms and Applications","call_identifier":"H2020","_id":"0599E47C-7A3F-11EA-A408-12923DDC885E","grant_number":"863818"},{"name":"Efficient Algorithms for Computer Aided Verification","_id":"25892FC0-B435-11E9-9278-68D0E5697425","grant_number":"ICT15-003"}],"article_processing_charge":"Yes (via OA deal)","oa":1,"tmp":{"image":"/images/cc_by.png","short":"CC BY (4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)"},"fulldoi":"https://doi.org/10.1007/s10703-023-00411-4","volume":63,"author":[{"id":"2E5DCA20-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-4561-241X","full_name":"Chatterjee, Krishnendu","last_name":"Chatterjee","first_name":"Krishnendu"},{"orcid":"0000-0002-6143-1926","id":"4524F760-F248-11E8-B48F-1D18A9856A87","first_name":"Joost P","full_name":"Katoen, Joost P","last_name":"Katoen"},{"full_name":"Mohr, Stefanie","last_name":"Mohr","first_name":"Stefanie"},{"first_name":"Maximilian","full_name":"Weininger, Maximilian","last_name":"Weininger"},{"first_name":"Tobias","full_name":"Winkler, Tobias","last_name":"Winkler"}],"article_type":"original","related_material":{"record":[{"id":"8272","status":"public","relation":"earlier_version"}]},"abstract":[{"text":"We study turn-based stochastic zero-sum games with lexicographic preferences over objectives. Stochastic games are standard models in control, verification, and synthesis of stochastic reactive systems that exhibit both randomness as well as controllable and adversarial non-determinism. Lexicographic order allows one to consider multiple objectives with a strict preference order. To the best of our knowledge, stochastic games with lexicographic objectives have not been studied before. For a mixture of reachability and safety objectives, we show that deterministic lexicographically optimal strategies exist and memory is only required to remember the already satisfied and violated objectives. For a constant number of objectives, we show that the relevant decision problem is in NP∩coNP, matching the current known bound for single objectives; and in general the decision problem is PSPACE-hard and can be solved in NEXPTIME∩coNEXPTIME. We present an algorithm that computes the lexicographically optimal strategies via a reduction to the computation of optimal strategies in a sequence of single-objectives games. For omega-regular objectives, we restrict our analysis to one-player games, also known as Markov decision processes. We show that lexicographically optimal strategies exist and need either randomization or finite memory. We present an algorithm that solves the relevant decision problem in polynomial time. We have implemented our algorithms and report experimental results on various case studies.","lang":"eng"}],"quality_controlled":"1","publication":"Formal Methods in System Design","_id":"12738","isi":1,"external_id":{"isi":["000946174300001"]},"year":"2024","researchdata_availability":"yes","OA_place":"publisher","user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","das_tickbox":"1","date_published":"2024-10-01T00:00:00Z","OA_type":"hybrid","date_updated":"2026-10-16T08:04:16Z","dataavailabilitystatement":"The software and data used to generate the experimental results of this paper are available online(See https://doi.org/10.5281/zenodo.5798108 and https://doi.org/10.5281/zenodo.7233605 for the experiments described in Sect. 5.1 and Sect. 5.2, respectively.).","ec_funded":1,"publication_status":"published"},{"month":"09","corr_author":"1","scopus_import":"1","citation":{"mla":"Chatterjee, Krishnendu, et al. “Solving Long-Run Average Reward Robust MDPs via Stochastic Games.” <i>33rd International Joint Conference on Artificial Intelligence</i>, International Joint Conferences on Artificial Intelligence, 2024, pp. 6707–15, doi:<a href=\"https://doi.org/10.24963/ijcai.2024/741\">10.24963/ijcai.2024/741</a>.","ieee":"K. Chatterjee, E. Goharshady, M. Karrabi, P. Novotný, and D. Zikelic, “Solving long-run average reward robust MDPs via stochastic games,” in <i>33rd International Joint Conference on Artificial Intelligence</i>, Jeju, South Korea, 2024, pp. 6707–6715.","short":"K. Chatterjee, E. Goharshady, M. Karrabi, P. Novotný, D. Zikelic, in:, 33rd International Joint Conference on Artificial Intelligence, International Joint Conferences on Artificial Intelligence, 2024, pp. 6707–6715.","ama":"Chatterjee K, Goharshady E, Karrabi M, Novotný P, Zikelic D. Solving long-run average reward robust MDPs via stochastic games. In: <i>33rd International Joint Conference on Artificial Intelligence</i>. International Joint Conferences on Artificial Intelligence; 2024:6707-6715. doi:<a href=\"https://doi.org/10.24963/ijcai.2024/741\">10.24963/ijcai.2024/741</a>","apa":"Chatterjee, K., Goharshady, E., Karrabi, M., Novotný, P., &#38; Zikelic, D. (2024). Solving long-run average reward robust MDPs via stochastic games. In <i>33rd International Joint Conference on Artificial Intelligence</i> (pp. 6707–6715). Jeju, South Korea: International Joint Conferences on Artificial Intelligence. <a href=\"https://doi.org/10.24963/ijcai.2024/741\">https://doi.org/10.24963/ijcai.2024/741</a>","chicago":"Chatterjee, Krishnendu, Ehsan Goharshady, Mehrdad Karrabi, Petr Novotný, and Dorde Zikelic. “Solving Long-Run Average Reward Robust MDPs via Stochastic Games.” In <i>33rd International Joint Conference on Artificial Intelligence</i>, 6707–15. International Joint Conferences on Artificial Intelligence, 2024. <a href=\"https://doi.org/10.24963/ijcai.2024/741\">https://doi.org/10.24963/ijcai.2024/741</a>.","ista":"Chatterjee K, Goharshady E, Karrabi M, Novotný P, Zikelic D. 2024. Solving long-run average reward robust MDPs via stochastic games. 33rd International Joint Conference on Artificial Intelligence. IJCAI: International Joint Conference on Artificial Intelligence, 6707–6715."},"publisher":"International Joint Conferences on Artificial Intelligence","arxiv":1,"status":"public","department":[{"_id":"KrCh"}],"doi":"10.24963/ijcai.2024/741","supplementarymaterial":"no","date_created":"2024-09-29T22:01:39Z","language":[{"iso":"eng"}],"type":"conference","oa_version":"Preprint","publication_identifier":{"issn":["1045-0823"],"isbn":["9781956792041"]},"acknowledgement":"This work was supported in part by the ERC-2020-CoG 863818 (FoRM-SMArt) and the Czech Science Foundation\r\ngrant no. GA23-06963S.","page":"6707-6715","title":"Solving long-run average reward robust MDPs via stochastic games","day":"01","main_file_link":[{"url":"https://doi.org/10.48550/arXiv.2312.13912","open_access":"1"}],"article_processing_charge":"No","oa":1,"conference":{"end_date":"2024-08-09","start_date":"2024-08-03","location":"Jeju, South Korea","name":"IJCAI: International Joint Conference on Artificial Intelligence"},"fulldoi":"https://doi.org/10.24963/ijcai.2024/741","project":[{"name":"Formal Methods for Stochastic Models: Algorithms and Applications","call_identifier":"H2020","grant_number":"863818","_id":"0599E47C-7A3F-11EA-A408-12923DDC885E"}],"date_updated":"2026-10-16T08:07:05Z","ec_funded":1,"OA_type":"green","date_published":"2024-09-01T00:00:00Z","das_tickbox":"0","publication_status":"published","author":[{"orcid":"0000-0002-4561-241X","id":"2E5DCA20-F248-11E8-B48F-1D18A9856A87","first_name":"Krishnendu","last_name":"Chatterjee","full_name":"Chatterjee, Krishnendu"},{"id":"103b4fa0-896a-11ed-bdf8-87b697bef40d","orcid":"0000-0002-8595-0587","last_name":"Kafshdar Goharshadi","full_name":"Kafshdar Goharshadi, Ehsan","first_name":"Ehsan"},{"full_name":"Karrabi, Mehrdad","last_name":"Karrabi","first_name":"Mehrdad","id":"67638922-f394-11eb-9cf6-f20423e08757","orcid":"0009-0007-5253-9170"},{"full_name":"Novotný, Petr","last_name":"Novotný","first_name":"Petr","id":"3CC3B868-F248-11E8-B48F-1D18A9856A87"},{"orcid":"0000-0002-4681-1699","id":"294AA7A6-F248-11E8-B48F-1D18A9856A87","first_name":"Dorde","full_name":"Zikelic, Dorde","last_name":"Zikelic"}],"quality_controlled":"1","publication":"33rd International Joint Conference on Artificial Intelligence","abstract":[{"lang":"eng","text":"Markov decision processes (MDPs) provide a standard framework for sequential decision making under uncertainty. However, MDPs do not take uncertainty in transition probabilities into account. Robust Markov decision processes (RMDPs) address this shortcoming of MDPs by assigning to each transition an uncertainty set rather than a single probability value. In this work, we consider polytopic RMDPs in which all uncertainty sets are polytopes and study the problem of solving long-run average reward polytopic RMDPs. We present a novel perspective on this problem and show that it can be reduced to solving long-run average reward turn-based stochastic games with finite state and action spaces. This reduction allows us to derive several important consequences that were hitherto not known to hold for polytopic RMDPs. First, we derive new computational complexity bounds for solving long-run average reward polytopic RMDPs, showing for the first time that the threshold decision problem for them is in NP∩CONP and that they admit a randomized algorithm with sub-exponential expected runtime. Second, we present Robust Polytopic Policy Iteration (RPPI), a novel policy iteration algorithm for solving long-run average reward polytopic RMDPs. Our experimental evaluation shows that RPPI is much more efficient in solving long-run average reward polytopic RMDPs compared to state-of-the-art methods based on value iteration. "}],"external_id":{"arxiv":["2312.13912"]},"_id":"18160","OA_place":"repository","user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","year":"2024","researchdata_availability":"no"},{"date_created":"2024-09-01T22:01:07Z","supplementarymaterial":"no","type":"journal_article","has_accepted_license":"1","language":[{"iso":"eng"}],"department":[{"_id":"KrCh"}],"doi":"10.1016/j.ic.2024.105214","file":[{"success":1,"creator":"dernst","content_type":"application/pdf","checksum":"f68e0c2f46f9b9c86815406bcf2ee2d4","file_id":"18817","date_updated":"2025-01-09T13:49:03Z","relation":"main_file","file_size":724703,"file_name":"2024_InformationComputation_Baier.pdf","access_level":"open_access","date_created":"2025-01-09T13:49:03Z"}],"acknowledgement":"Krishnendu Chatterjee reports financial support was provided by European Research Council.","publication_identifier":{"issn":["0890-5401"],"eissn":["1090-2651"]},"day":"01","title":"Entropic risk for turn-based stochastic games","oa_version":"Published Version","citation":{"ieee":"C. Baier, K. Chatterjee, T. Meggendorfer, and J. Piribauer, “Entropic risk for turn-based stochastic games,” <i>Information and Computation</i>, vol. 301. Elsevier, 2024.","short":"C. Baier, K. Chatterjee, T. Meggendorfer, J. Piribauer, Information and Computation 301 (2024).","mla":"Baier, Christel, et al. “Entropic Risk for Turn-Based Stochastic Games.” <i>Information and Computation</i>, vol. 301, 105214, Elsevier, 2024, doi:<a href=\"https://doi.org/10.1016/j.ic.2024.105214\">10.1016/j.ic.2024.105214</a>.","ista":"Baier C, Chatterjee K, Meggendorfer T, Piribauer J. 2024. Entropic risk for turn-based stochastic games. Information and Computation. 301, 105214.","chicago":"Baier, Christel, Krishnendu Chatterjee, Tobias Meggendorfer, and Jakob Piribauer. “Entropic Risk for Turn-Based Stochastic Games.” <i>Information and Computation</i>. Elsevier, 2024. <a href=\"https://doi.org/10.1016/j.ic.2024.105214\">https://doi.org/10.1016/j.ic.2024.105214</a>.","apa":"Baier, C., Chatterjee, K., Meggendorfer, T., &#38; Piribauer, J. (2024). Entropic risk for turn-based stochastic games. <i>Information and Computation</i>. Elsevier. <a href=\"https://doi.org/10.1016/j.ic.2024.105214\">https://doi.org/10.1016/j.ic.2024.105214</a>","ama":"Baier C, Chatterjee K, Meggendorfer T, Piribauer J. Entropic risk for turn-based stochastic games. <i>Information and Computation</i>. 2024;301. doi:<a href=\"https://doi.org/10.1016/j.ic.2024.105214\">10.1016/j.ic.2024.105214</a>"},"scopus_import":"1","intvolume":"       301","corr_author":"1","month":"12","ddc":["000"],"status":"public","arxiv":1,"article_number":"105214","file_date_updated":"2025-01-09T13:49:03Z","publisher":"Elsevier","publication_status":"published","das_tickbox":"0","date_published":"2024-12-01T00:00:00Z","OA_type":"hybrid","date_updated":"2026-10-16T08:04:31Z","_id":"17474","isi":1,"external_id":{"arxiv":["2307.06611"],"isi":["001301143400001"]},"researchdata_availability":"no","year":"2024","user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","OA_place":"publisher","article_type":"original","author":[{"first_name":"Christel","full_name":"Baier, Christel","last_name":"Baier"},{"first_name":"Krishnendu","last_name":"Chatterjee","full_name":"Chatterjee, Krishnendu","orcid":"0000-0002-4561-241X","id":"2E5DCA20-F248-11E8-B48F-1D18A9856A87"},{"full_name":"Meggendorfer, Tobias","last_name":"Meggendorfer","first_name":"Tobias","id":"b21b0c15-30a2-11eb-80dc-f13ca25802e1","orcid":"0000-0002-1712-2165"},{"full_name":"Piribauer, Jakob","last_name":"Piribauer","first_name":"Jakob"}],"related_material":{"record":[{"relation":"earlier_version","status":"public","id":"14417"}]},"abstract":[{"text":"Entropic risk (ERisk) is an established risk measure in finance, quantifying risk by an exponential re-weighting of rewards. We study ERisk for the first time in the context of turn-based stochastic games with the total reward objective. This gives rise to an objective function that demands the control of systems in a risk-averse manner. We show that the resulting games are determined and, in particular, admit optimal memoryless deterministic strategies. This contrasts risk measures that previously have been considered in the special case of Markov decision processes and that require randomization and/or memory. We provide several results on the decidability and the computational complexity of the threshold problem, i.e. whether the optimal value of ERisk exceeds a given threshold. Furthermore, an approximation algorithm for the optimal value of ERisk is provided.","lang":"eng"}],"quality_controlled":"1","publication":"Information and Computation","tmp":{"image":"/images/cc_by.png","short":"CC BY (4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)"},"volume":301,"fulldoi":"https://doi.org/10.1016/j.ic.2024.105214","oa":1,"article_processing_charge":"Yes (in subscription journal)"},{"publication_status":"published","das_tickbox":"0","date_published":"2024-05-01T00:00:00Z","date_updated":"2026-10-16T08:07:55Z","ec_funded":1,"OA_type":"green","_id":"18925","isi":1,"external_id":{"isi":["001270140300143"]},"researchdata_availability":"no","year":"2024","OA_place":"other","user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","author":[{"id":"cb1ca1d8-dcc0-11ef-baa5-9f1b3ef75933","last_name":"Ceylan","full_name":"Ceylan, Esra","first_name":"Esra"},{"first_name":"Krishnendu","last_name":"Chatterjee","full_name":"Chatterjee, Krishnendu","orcid":"0000-0002-4561-241X","id":"2E5DCA20-F248-11E8-B48F-1D18A9856A87"},{"full_name":"Schmid, Stefan","last_name":"Schmid","first_name":"Stefan"},{"first_name":"Jakub","full_name":"Svoboda, Jakub","last_name":"Svoboda","orcid":"0000-0002-1419-3267","id":"130759D2-D7DD-11E9-87D2-DE0DE6697425"}],"abstract":[{"text":"Given the increasingly stringent requirements on the performance and efficiency of communication networks, over the last years, great efforts have been made to render networks more flexible and programmable. In particular, modern networks support a flexible rerouting of flows, e.g., depending on the dynamically changing traffic or network conditions. However, the underlying algorithmic problems are still not well-understood today.In this paper, we revisit the k-Network Flow Update problem that asks for a schedule to reroute k unsplittable flows from their current paths to the given new paths, in a congestion-free manner in a capacitated network. We show that the problem is already NP-hard for three acyclic flows on simple directed graphs. Our main contribution is an efficient algorithm for sparse networks; specifically the algorithm is fixed parameter tractable in the number of flows and the treewidth of a graph that is the union of all flows. Our results also settle the open complexity question in the literature.","lang":"eng"}],"publication":"NOMS 2024-2024 IEEE Network Operations and Management Symposium","quality_controlled":"1","conference":{"location":"Seoul, Republic of Korea","name":"NOMS: Network Operations and Management Symposiu ","start_date":"2024-05-06","end_date":"2024-05-10"},"fulldoi":"https://doi.org/10.1109/noms59830.2024.10575579","main_file_link":[{"url":"https://schmiste.github.io/noms24.pdf","open_access":"1"}],"article_processing_charge":"No","oa":1,"project":[{"call_identifier":"H2020","name":"Formal Methods for Stochastic Models: Algorithms and Applications","grant_number":"863818","_id":"0599E47C-7A3F-11EA-A408-12923DDC885E"},{"grant_number":"894907","_id":"bd622a5c-d553-11ed-ba76-bae280ba8aff","name":"Graphical Games"}],"date_created":"2025-01-27T15:06:45Z","supplementarymaterial":"no","type":"conference","language":[{"iso":"eng"}],"department":[{"_id":"KrCh"}],"doi":"10.1109/noms59830.2024.10575579","acknowledgement":"Research was supported by the Austrian Science Fund (FWF), project I 5025-N (DELTA), 2020-2024. Esra Ceylan’s research was supported by FFG, FEMtech Praktika für Studentinnen. Jakub Svoboda and Krishnendu Chatterjee were supported by the European Research Council (ERC) CoG 863818 (ForM-SMArt).","publication_identifier":{"eissn":["2374-9709"],"isbn":["9798350327946"]},"day":"01","title":"Congestion-free rerouting of network flows: Hardness and an FPT algorithm","oa_version":"Submitted Version","citation":{"ama":"Ceylan E, Chatterjee K, Schmid S, Svoboda J. Congestion-free rerouting of network flows: Hardness and an FPT algorithm. In: <i>NOMS 2024-2024 IEEE Network Operations and Management Symposium</i>. IEEE; 2024. doi:<a href=\"https://doi.org/10.1109/noms59830.2024.10575579\">10.1109/noms59830.2024.10575579</a>","apa":"Ceylan, E., Chatterjee, K., Schmid, S., &#38; Svoboda, J. (2024). Congestion-free rerouting of network flows: Hardness and an FPT algorithm. In <i>NOMS 2024-2024 IEEE Network Operations and Management Symposium</i>. Seoul, Republic of Korea: IEEE. <a href=\"https://doi.org/10.1109/noms59830.2024.10575579\">https://doi.org/10.1109/noms59830.2024.10575579</a>","chicago":"Ceylan, Esra, Krishnendu Chatterjee, Stefan Schmid, and Jakub Svoboda. “Congestion-Free Rerouting of Network Flows: Hardness and an FPT Algorithm.” In <i>NOMS 2024-2024 IEEE Network Operations and Management Symposium</i>. IEEE, 2024. <a href=\"https://doi.org/10.1109/noms59830.2024.10575579\">https://doi.org/10.1109/noms59830.2024.10575579</a>.","ista":"Ceylan E, Chatterjee K, Schmid S, Svoboda J. 2024. Congestion-free rerouting of network flows: Hardness and an FPT algorithm. NOMS 2024-2024 IEEE Network Operations and Management Symposium. NOMS: Network Operations and Management Symposiu .","mla":"Ceylan, Esra, et al. “Congestion-Free Rerouting of Network Flows: Hardness and an FPT Algorithm.” <i>NOMS 2024-2024 IEEE Network Operations and Management Symposium</i>, IEEE, 2024, doi:<a href=\"https://doi.org/10.1109/noms59830.2024.10575579\">10.1109/noms59830.2024.10575579</a>.","ieee":"E. Ceylan, K. Chatterjee, S. Schmid, and J. Svoboda, “Congestion-free rerouting of network flows: Hardness and an FPT algorithm,” in <i>NOMS 2024-2024 IEEE Network Operations and Management Symposium</i>, Seoul, Republic of Korea, 2024.","short":"E. Ceylan, K. Chatterjee, S. Schmid, J. Svoboda, in:, NOMS 2024-2024 IEEE Network Operations and Management Symposium, IEEE, 2024."},"scopus_import":"1","corr_author":"1","month":"05","status":"public","publisher":"IEEE"},{"oa_version":"Published Version","publication_identifier":{"isbn":["9798400706684"]},"acknowledgement":"This work was supported in part by the ERC-2020-CoG 863818 (FoRM-SMArt) grant and the MOE-T2EP20122-0014 (Data-Driven Distributed Algorithms) grant.\r\n","page":"268-278","title":"Fully automated selfish mining analysis in efficient proof systems blockchains","day":"17","file":[{"creator":"dernst","success":1,"content_type":"application/pdf","checksum":"6122bd97b42751ff81c452a19970f67d","date_created":"2024-07-29T07:18:12Z","access_level":"open_access","file_id":"17334","file_name":"2024_ACM_Chatterjee.pdf","file_size":832034,"date_updated":"2024-07-29T07:18:12Z","relation":"main_file"}],"department":[{"_id":"KrCh"},{"_id":"KrPi"}],"doi":"10.1145/3662158.3662769","supplementarymaterial":"no","date_created":"2024-07-28T22:01:10Z","language":[{"iso":"eng"}],"type":"conference","has_accepted_license":"1","publisher":"Association for Computing Machinery","ddc":["000"],"file_date_updated":"2024-07-29T07:18:12Z","arxiv":1,"status":"public","month":"06","corr_author":"1","scopus_import":"1","citation":{"mla":"Chatterjee, Krishnendu, et al. “Fully Automated Selfish Mining Analysis in Efficient Proof Systems Blockchains.” <i>Proceedings of the 43rd Annual ACM Symposium on Principles of Distributed Computing</i>, Association for Computing Machinery, 2024, pp. 268–78, doi:<a href=\"https://doi.org/10.1145/3662158.3662769\">10.1145/3662158.3662769</a>.","short":"K. Chatterjee, A. Ebrahimzadeh, M. Karrabi, K.Z. Pietrzak, M.X. Yeo, D. Zikelic, in:, Proceedings of the 43rd Annual ACM Symposium on Principles of Distributed Computing, Association for Computing Machinery, 2024, pp. 268–278.","ieee":"K. Chatterjee, A. Ebrahimzadeh, M. Karrabi, K. Z. Pietrzak, M. X. Yeo, and D. Zikelic, “Fully automated selfish mining analysis in efficient proof systems blockchains,” in <i>Proceedings of the 43rd Annual ACM Symposium on Principles of Distributed Computing</i>, Nantes, France, 2024, pp. 268–278.","ama":"Chatterjee K, Ebrahimzadeh A, Karrabi M, Pietrzak KZ, Yeo MX, Zikelic D. Fully automated selfish mining analysis in efficient proof systems blockchains. In: <i>Proceedings of the 43rd Annual ACM Symposium on Principles of Distributed Computing</i>. Association for Computing Machinery; 2024:268-278. doi:<a href=\"https://doi.org/10.1145/3662158.3662769\">10.1145/3662158.3662769</a>","apa":"Chatterjee, K., Ebrahimzadeh, A., Karrabi, M., Pietrzak, K. Z., Yeo, M. X., &#38; Zikelic, D. (2024). Fully automated selfish mining analysis in efficient proof systems blockchains. In <i>Proceedings of the 43rd Annual ACM Symposium on Principles of Distributed Computing</i> (pp. 268–278). Nantes, France: Association for Computing Machinery. <a href=\"https://doi.org/10.1145/3662158.3662769\">https://doi.org/10.1145/3662158.3662769</a>","chicago":"Chatterjee, Krishnendu, Amirali Ebrahimzadeh, Mehrdad Karrabi, Krzysztof Z Pietrzak, Michelle X Yeo, and Dorde Zikelic. “Fully Automated Selfish Mining Analysis in Efficient Proof Systems Blockchains.” In <i>Proceedings of the 43rd Annual ACM Symposium on Principles of Distributed Computing</i>, 268–78. Association for Computing Machinery, 2024. <a href=\"https://doi.org/10.1145/3662158.3662769\">https://doi.org/10.1145/3662158.3662769</a>.","ista":"Chatterjee K, Ebrahimzadeh A, Karrabi M, Pietrzak KZ, Yeo MX, Zikelic D. 2024. Fully automated selfish mining analysis in efficient proof systems blockchains. Proceedings of the 43rd Annual ACM Symposium on Principles of Distributed Computing. PODC: Symposium on Principles of Distributed Computing, 268–278."},"author":[{"id":"2E5DCA20-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-4561-241X","full_name":"Chatterjee, Krishnendu","last_name":"Chatterjee","first_name":"Krishnendu"},{"last_name":"Ebrahimzadeh","full_name":"Ebrahimzadeh, Amirali","first_name":"Amirali"},{"id":"67638922-f394-11eb-9cf6-f20423e08757","orcid":"0009-0007-5253-9170","full_name":"Karrabi, Mehrdad","last_name":"Karrabi","first_name":"Mehrdad"},{"full_name":"Pietrzak, Krzysztof Z","last_name":"Pietrzak","first_name":"Krzysztof Z","id":"3E04A7AA-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-9139-1654"},{"orcid":"0009-0001-3676-4809","id":"2D82B818-F248-11E8-B48F-1D18A9856A87","first_name":"Michelle X","last_name":"Yeo","full_name":"Yeo, Michelle X"},{"first_name":"Dorde","last_name":"Zikelic","full_name":"Zikelic, Dorde","orcid":"0000-0002-4681-1699","id":"294AA7A6-F248-11E8-B48F-1D18A9856A87"}],"quality_controlled":"1","publication":"Proceedings of the 43rd Annual ACM Symposium on Principles of Distributed Computing","abstract":[{"text":"We study selfish mining attacks in longest-chain blockchains like Bitcoin, but where the proof of work is replaced with efficient proof systems - like proofs of stake or proofs of space - and consider the problem of computing an optimal selfish mining attack which maximizes expected relative revenue of the adversary, thus minimizing the chain quality. To this end, we propose a novel selfish mining attack that aims to maximize this objective and formally model the attack as a Markov decision process (MDP). We then present a formal analysis procedure which computes an ϵ-tight lower bound on the optimal expected relative revenue in the MDP and a strategy that achieves this ϵ-tight lower bound, where ϵ > 0 may be any specified precision. Our analysis is fully automated and provides formal guarantees on the correctness. We evaluate our selfish mining attack and observe that it achieves superior expected relative revenue compared to two considered baselines.\r\nIn concurrent work [Sarenche FC'24] does an automated analysis on selfish mining in predictable longest-chain blockchains based on efficient proof systems. Predictable means the randomness for the challenges is fixed for many blocks (as used e.g., in Ouroboros), while we consider unpredictable (Bitcoin-like) chains where the challenge is derived from the previous block.","lang":"eng"}],"external_id":{"arxiv":["2405.04420"]},"_id":"17328","user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","researchdata_availability":"no","year":"2024","ec_funded":1,"date_updated":"2026-10-16T08:09:09Z","date_published":"2024-06-17T00:00:00Z","das_tickbox":"0","publication_status":"published","project":[{"_id":"0599E47C-7A3F-11EA-A408-12923DDC885E","grant_number":"863818","call_identifier":"H2020","name":"Formal Methods for Stochastic Models: Algorithms and Applications"}],"oa":1,"article_processing_charge":"Yes (via OA deal)","tmp":{"image":"/images/cc_by.png","short":"CC BY (4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)"},"conference":{"location":"Nantes, France","name":"PODC: Symposium on Principles of Distributed Computing","start_date":"2024-06-17","end_date":"2024-06-21"},"fulldoi":"https://doi.org/10.1145/3662158.3662769"},{"oa_version":"Published Version","title":"Equivalence and similarity refutation for probabilistic programs","day":"20","publication_identifier":{"eissn":["2475-1421"]},"acknowledgement":"This research was partially supported by the ERC CoG 863818 (ForM-SMArt) grant. Petr Novotný\r\nis supported by the Czech Science Foundation grant no. GA23-06963S.\r\n","file":[{"access_level":"open_access","date_created":"2024-07-22T07:17:14Z","file_id":"17290","file_size":355421,"relation":"main_file","date_updated":"2024-07-22T07:17:14Z","file_name":"2024_ACMProgLang_Chatterjee.pdf","success":1,"creator":"dernst","content_type":"application/pdf","checksum":"8cbf220f284a4a87d093db5320c5afdd"}],"department":[{"_id":"KrCh"},{"_id":"GradSch"}],"doi":"10.1145/3656462","language":[{"iso":"eng"}],"has_accepted_license":"1","type":"journal_article","supplementarymaterial":"no","date_created":"2024-07-21T22:01:01Z","publisher":"Association for Computing Machinery","arxiv":1,"article_number":"232","file_date_updated":"2024-07-22T07:17:14Z","status":"public","ddc":["000"],"month":"06","corr_author":"1","intvolume":"         8","scopus_import":"1","citation":{"chicago":"Chatterjee, Krishnendu, Ehsan Goharshady, Petr Novotný, and Dorde Zikelic. “Equivalence and Similarity Refutation for Probabilistic Programs.” <i>Proceedings of the ACM on Programming Languages</i>. Association for Computing Machinery, 2024. <a href=\"https://doi.org/10.1145/3656462\">https://doi.org/10.1145/3656462</a>.","apa":"Chatterjee, K., Goharshady, E., Novotný, P., &#38; Zikelic, D. (2024). Equivalence and similarity refutation for probabilistic programs. <i>Proceedings of the ACM on Programming Languages</i>. Association for Computing Machinery. <a href=\"https://doi.org/10.1145/3656462\">https://doi.org/10.1145/3656462</a>","ama":"Chatterjee K, Goharshady E, Novotný P, Zikelic D. Equivalence and similarity refutation for probabilistic programs. <i>Proceedings of the ACM on Programming Languages</i>. 2024;8. doi:<a href=\"https://doi.org/10.1145/3656462\">10.1145/3656462</a>","ista":"Chatterjee K, Goharshady E, Novotný P, Zikelic D. 2024. Equivalence and similarity refutation for probabilistic programs. Proceedings of the ACM on Programming Languages. 8, 232.","mla":"Chatterjee, Krishnendu, et al. “Equivalence and Similarity Refutation for Probabilistic Programs.” <i>Proceedings of the ACM on Programming Languages</i>, vol. 8, 232, Association for Computing Machinery, 2024, doi:<a href=\"https://doi.org/10.1145/3656462\">10.1145/3656462</a>.","ieee":"K. Chatterjee, E. Goharshady, P. Novotný, and D. Zikelic, “Equivalence and similarity refutation for probabilistic programs,” <i>Proceedings of the ACM on Programming Languages</i>, vol. 8. Association for Computing Machinery, 2024.","short":"K. Chatterjee, E. Goharshady, P. Novotný, D. Zikelic, Proceedings of the ACM on Programming Languages 8 (2024)."},"quality_controlled":"1","publication":"Proceedings of the ACM on Programming Languages","abstract":[{"text":"We consider the problems of statically refuting equivalence and similarity of output distributions defined by a pair of probabilistic programs. Equivalence and similarity are two fundamental relational properties of probabilistic programs that are essential for their correctness both in implementation and in compilation. In this work, we present a new method for static equivalence and similarity refutation. Our method refutes equivalence and similarity by computing a function over program outputs whose expected value with respect to the output distributions of two programs is different. The function is computed simultaneously with an upper expectation supermartingale and a lower expectation submartingale for the two programs, which we show to together provide a formal certificate for refuting equivalence and similarity. To the best of our knowledge, our method is the first approach to relational program analysis to offer the combination of the following desirable features: (1) it is fully automated, (2) it is applicable to infinite-state probabilistic programs, and (3) it provides formal guarantees on the correctness of its results. We implement a prototype of our method and our experiments demonstrate the effectiveness of our method to refute equivalence and similarity for a number of examples collected from the literature.","lang":"eng"}],"article_type":"original","author":[{"first_name":"Krishnendu","full_name":"Chatterjee, Krishnendu","last_name":"Chatterjee","orcid":"0000-0002-4561-241X","id":"2E5DCA20-F248-11E8-B48F-1D18A9856A87"},{"full_name":"Kafshdar Goharshadi, Ehsan","last_name":"Kafshdar Goharshadi","first_name":"Ehsan","id":"103b4fa0-896a-11ed-bdf8-87b697bef40d","orcid":"0000-0002-8595-0587"},{"id":"3CC3B868-F248-11E8-B48F-1D18A9856A87","first_name":"Petr","full_name":"Novotný, Petr","last_name":"Novotný"},{"last_name":"Zikelic","full_name":"Zikelic, Dorde","first_name":"Dorde","id":"294AA7A6-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-4681-1699"}],"user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","OA_place":"publisher","researchdata_availability":"no","year":"2024","external_id":{"arxiv":["2404.03430"]},"_id":"17283","OA_type":"hybrid","date_updated":"2026-10-16T08:08:51Z","ec_funded":1,"date_published":"2024-06-20T00:00:00Z","das_tickbox":"0","publication_status":"published","project":[{"_id":"0599E47C-7A3F-11EA-A408-12923DDC885E","grant_number":"863818","name":"Formal Methods for Stochastic Models: Algorithms and Applications","call_identifier":"H2020"}],"oa":1,"article_processing_charge":"Yes (via OA deal)","volume":8,"fulldoi":"https://doi.org/10.1145/3656462","tmp":{"image":"/images/cc_by.png","short":"CC BY (4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)"}},{"tmp":{"image":"/images/cc_by.png","short":"CC BY (4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)"},"volume":989,"fulldoi":"https://doi.org/10.1016/j.tcs.2023.114353","oa":1,"article_processing_charge":"Yes (via OA deal)","project":[{"_id":"0599E47C-7A3F-11EA-A408-12923DDC885E","grant_number":"863818","name":"Formal Methods for Stochastic Models: Algorithms and Applications","call_identifier":"H2020"}],"publication_status":"published","date_updated":"2026-10-16T08:09:27Z","ec_funded":1,"das_tickbox":"0","date_published":"2024-03-21T00:00:00Z","external_id":{"isi":["001168211400001"]},"isi":1,"_id":"14820","user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","researchdata_availability":"no","year":"2024","related_material":{"record":[{"id":"19985","status":"public","relation":"earlier_version"}]},"article_type":"original","author":[{"first_name":"Stefan","last_name":"Schmid","full_name":"Schmid, Stefan"},{"first_name":"Jakub","full_name":"Svoboda, Jakub","last_name":"Svoboda","orcid":"0000-0002-1419-3267","id":"130759D2-D7DD-11E9-87D2-DE0DE6697425"},{"first_name":"Michelle X","full_name":"Yeo, Michelle X","last_name":"Yeo","orcid":"0009-0001-3676-4809","id":"2D82B818-F248-11E8-B48F-1D18A9856A87"}],"quality_controlled":"1","publication":"Theoretical Computer Science","abstract":[{"lang":"eng","text":"We consider a natural problem dealing with weighted packet selection across a rechargeable link, which e.g., finds applications in cryptocurrency networks. The capacity of a link (u, v) is determined by how many nodes u and v allocate for this link. Specifically, the input is a finite ordered sequence of packets that arrive in both directions along a link. Given (u, v) and a packet of weight x going from u to v, node u can either accept or reject the packet. If u accepts the packet, the capacity on link (u, v) decreases by x. Correspondingly, v's capacity on \r\n increases by x. If a node rejects the packet, this will entail a cost affinely linear in the weight of the packet. A link is “rechargeable” in the sense that the total capacity of the link has to remain constant, but the allocation of capacity at the ends of the link can depend arbitrarily on the nodes' decisions. The goal is to minimise the sum of the capacity injected into the link and the cost of rejecting packets. We show that the problem is NP-hard, but can be approximated efficiently with a ratio of (1+E) . (1+3)  for some arbitrary E>0."}],"scopus_import":"1","citation":{"ieee":"S. Schmid, J. Svoboda, and M. X. Yeo, “Weighted packet selection for rechargeable links in cryptocurrency networks: Complexity and approximation,” <i>Theoretical Computer Science</i>, vol. 989. Elsevier, 2024.","short":"S. Schmid, J. Svoboda, M.X. Yeo, Theoretical Computer Science 989 (2024).","mla":"Schmid, Stefan, et al. “Weighted Packet Selection for Rechargeable Links in Cryptocurrency Networks: Complexity and Approximation.” <i>Theoretical Computer Science</i>, vol. 989, 114353, Elsevier, 2024, doi:<a href=\"https://doi.org/10.1016/j.tcs.2023.114353\">10.1016/j.tcs.2023.114353</a>.","ista":"Schmid S, Svoboda J, Yeo MX. 2024. Weighted packet selection for rechargeable links in cryptocurrency networks: Complexity and approximation. Theoretical Computer Science. 989, 114353.","apa":"Schmid, S., Svoboda, J., &#38; Yeo, M. X. (2024). Weighted packet selection for rechargeable links in cryptocurrency networks: Complexity and approximation. <i>Theoretical Computer Science</i>. Elsevier. <a href=\"https://doi.org/10.1016/j.tcs.2023.114353\">https://doi.org/10.1016/j.tcs.2023.114353</a>","ama":"Schmid S, Svoboda J, Yeo MX. Weighted packet selection for rechargeable links in cryptocurrency networks: Complexity and approximation. <i>Theoretical Computer Science</i>. 2024;989. doi:<a href=\"https://doi.org/10.1016/j.tcs.2023.114353\">10.1016/j.tcs.2023.114353</a>","chicago":"Schmid, Stefan, Jakub Svoboda, and Michelle X Yeo. “Weighted Packet Selection for Rechargeable Links in Cryptocurrency Networks: Complexity and Approximation.” <i>Theoretical Computer Science</i>. Elsevier, 2024. <a href=\"https://doi.org/10.1016/j.tcs.2023.114353\">https://doi.org/10.1016/j.tcs.2023.114353</a>."},"intvolume":"       989","month":"03","corr_author":"1","ddc":["000"],"file_date_updated":"2024-07-16T12:02:25Z","article_number":"114353","status":"public","keyword":["General Computer Science","Theoretical Computer Science"],"publisher":"Elsevier","supplementarymaterial":"no","date_created":"2024-01-16T13:40:41Z","language":[{"iso":"eng"}],"has_accepted_license":"1","type":"journal_article","file":[{"access_level":"open_access","date_created":"2024-07-16T12:02:25Z","file_name":"2024_TheorComputerScience_Schmid.pdf","date_updated":"2024-07-16T12:02:25Z","file_size":603570,"relation":"main_file","file_id":"17263","checksum":"efd5b7e738bf845312ba53889a3e13e4","content_type":"application/pdf","creator":"dernst","success":1}],"doi":"10.1016/j.tcs.2023.114353","department":[{"_id":"KrCh"},{"_id":"KrPi"}],"publication_identifier":{"issn":["0304-3975"]},"acknowledgement":"We thank Mahsa Bastankhah and Mohammad Ali Maddah-Ali for fruitful discussions about different variants of the problem. This work is supported by the European Research Council (ERC) Consolidator Project 864228 (AdjustNet), 2020-2025, the ERC CoG 863818 (ForM-SMArt), and the German Research Foundation (DFG) grant 470029389 (FlexNets), 2021-2024.","title":"Weighted packet selection for rechargeable links in cryptocurrency networks: Complexity and approximation","day":"21","oa_version":"Published Version"},{"month":"07","corr_author":"1","scopus_import":"1","citation":{"short":"J. Svoboda, S. Bansal, K. Chatterjee, in:, 41st International Conference on Machine Learning, ML Research Press, 2024, pp. 47331–47344.","ieee":"J. Svoboda, S. Bansal, and K. Chatterjee, “Reinforcement learning from reachability specifications: PAC guarantees with expected conditional distance,” in <i>41st International Conference on Machine Learning</i>, Vienna, Austria, 2024, vol. 235, pp. 47331–47344.","mla":"Svoboda, Jakub, et al. “Reinforcement Learning from Reachability Specifications: PAC Guarantees with Expected Conditional Distance.” <i>41st International Conference on Machine Learning</i>, vol. 235, ML Research Press, 2024, pp. 47331–44.","ista":"Svoboda J, Bansal S, Chatterjee K. 2024. Reinforcement learning from reachability specifications: PAC guarantees with expected conditional distance. 41st International Conference on Machine Learning. ICML: International Conference on Machine Learning, PMLR, vol. 235, 47331–47344.","chicago":"Svoboda, Jakub, Suguman Bansal, and Krishnendu Chatterjee. “Reinforcement Learning from Reachability Specifications: PAC Guarantees with Expected Conditional Distance.” In <i>41st International Conference on Machine Learning</i>, 235:47331–44. ML Research Press, 2024.","ama":"Svoboda J, Bansal S, Chatterjee K. Reinforcement learning from reachability specifications: PAC guarantees with expected conditional distance. In: <i>41st International Conference on Machine Learning</i>. Vol 235. ML Research Press; 2024:47331-47344.","apa":"Svoboda, J., Bansal, S., &#38; Chatterjee, K. (2024). Reinforcement learning from reachability specifications: PAC guarantees with expected conditional distance. In <i>41st International Conference on Machine Learning</i> (Vol. 235, pp. 47331–47344). Vienna, Austria: ML Research Press."},"intvolume":"       235","publisher":"ML Research Press","status":"public","department":[{"_id":"KrCh"}],"supplementarymaterial":"no","alternative_title":["PMLR"],"date_created":"2025-01-30T07:45:22Z","language":[{"iso":"eng"}],"type":"conference","oa_version":"Preprint","title":"Reinforcement learning from reachability specifications: PAC guarantees with expected conditional distance","page":"47331-47344","day":"29","main_file_link":[{"open_access":"1","url":"https://openreview.net/forum?id=mXUDDL4r1Q"}],"oa":1,"article_processing_charge":"No","conference":{"end_date":"2024-07-27","start_date":"2024-07-21","location":"Vienna, Austria","name":"ICML: International Conference on Machine Learning"},"volume":235,"date_updated":"2026-10-16T08:08:33Z","OA_type":"green","das_tickbox":"0","date_published":"2024-07-29T00:00:00Z","publication_status":"published","author":[{"last_name":"Svoboda","full_name":"Svoboda, Jakub","first_name":"Jakub","id":"130759D2-D7DD-11E9-87D2-DE0DE6697425","orcid":"0000-0002-1419-3267"},{"last_name":"Bansal","full_name":"Bansal, Suguman","first_name":"Suguman"},{"id":"2E5DCA20-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-4561-241X","full_name":"Chatterjee, Krishnendu","last_name":"Chatterjee","first_name":"Krishnendu"}],"quality_controlled":"1","publication":"41st International Conference on Machine Learning","abstract":[{"text":"Reinforcement Learning (RL) from temporal logical specifications is a fundamental problem in sequential decision making. One of the basic and core such specification is the reachability specification that requires a target set to be eventually visited. Despite strong empirical results for RL from such specifications, the theoretical guarantees are bleak, including the impossibility of Probably Approximately Correct (PAC) guarantee for reachability specifications. Given the impossibility result, in this work we consider the problem of RL from reachability specifications along with the information of expected conditional distance (ECD). We present (a) lower bound results which establish the necessity of ECD information for PAC guarantees and (b) an algorithm that establishes PAC-guarantees given the ECD information. To the best of our knowledge, this is the first RL from reachability specifications that does not make any assumptions on the underlying environment to learn policies.","lang":"eng"}],"_id":"18974","user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","OA_place":"publisher","year":"2024","researchdata_availability":"no"},{"department":[{"_id":"GradSch"},{"_id":"KrCh"}],"doi":"10.1137/1.9781611977554.ch173","type":"conference","language":[{"iso":"eng"}],"date_created":"2023-02-24T12:20:47Z","oa_version":"Published Version","day":"01","title":"Faster algorithm for turn-based stochastic games with bounded treewidth","page":"4590-4605","acknowledgement":"This research was partially supported by the ERC CoG 863818 (ForM-SMArt) grant.","publication_identifier":{"isbn":["9781611977554"]},"corr_author":"1","month":"02","citation":{"ieee":"K. Chatterjee, T. Meggendorfer, R. J. Saona Urmeneta, and J. Svoboda, “Faster algorithm for turn-based stochastic games with bounded treewidth,” in <i>Proceedings of the 2023 Annual ACM-SIAM Symposium on Discrete Algorithms</i>, Florence, Italy, 2023, pp. 4590–4605.","short":"K. Chatterjee, T. Meggendorfer, R.J. Saona Urmeneta, J. Svoboda, in:, Proceedings of the 2023 Annual ACM-SIAM Symposium on Discrete Algorithms, Society for Industrial and Applied Mathematics, 2023, pp. 4590–4605.","mla":"Chatterjee, Krishnendu, et al. “Faster Algorithm for Turn-Based Stochastic Games with Bounded Treewidth.” <i>Proceedings of the 2023 Annual ACM-SIAM Symposium on Discrete Algorithms</i>, Society for Industrial and Applied Mathematics, 2023, pp. 4590–605, doi:<a href=\"https://doi.org/10.1137/1.9781611977554.ch173\">10.1137/1.9781611977554.ch173</a>.","ista":"Chatterjee K, Meggendorfer T, Saona Urmeneta RJ, Svoboda J. 2023. Faster algorithm for turn-based stochastic games with bounded treewidth. Proceedings of the 2023 Annual ACM-SIAM Symposium on Discrete Algorithms. SODA: Symposium on Discrete Algorithms, 4590–4605.","chicago":"Chatterjee, Krishnendu, Tobias Meggendorfer, Raimundo J Saona Urmeneta, and Jakub Svoboda. “Faster Algorithm for Turn-Based Stochastic Games with Bounded Treewidth.” In <i>Proceedings of the 2023 Annual ACM-SIAM Symposium on Discrete Algorithms</i>, 4590–4605. Society for Industrial and Applied Mathematics, 2023. <a href=\"https://doi.org/10.1137/1.9781611977554.ch173\">https://doi.org/10.1137/1.9781611977554.ch173</a>.","apa":"Chatterjee, K., Meggendorfer, T., Saona Urmeneta, R. J., &#38; Svoboda, J. (2023). Faster algorithm for turn-based stochastic games with bounded treewidth. In <i>Proceedings of the 2023 Annual ACM-SIAM Symposium on Discrete Algorithms</i> (pp. 4590–4605). Florence, Italy: Society for Industrial and Applied Mathematics. <a href=\"https://doi.org/10.1137/1.9781611977554.ch173\">https://doi.org/10.1137/1.9781611977554.ch173</a>","ama":"Chatterjee K, Meggendorfer T, Saona Urmeneta RJ, Svoboda J. Faster algorithm for turn-based stochastic games with bounded treewidth. In: <i>Proceedings of the 2023 Annual ACM-SIAM Symposium on Discrete Algorithms</i>. Society for Industrial and Applied Mathematics; 2023:4590-4605. doi:<a href=\"https://doi.org/10.1137/1.9781611977554.ch173\">10.1137/1.9781611977554.ch173</a>"},"publisher":"Society for Industrial and Applied Mathematics","status":"public","ddc":["000"],"date_published":"2023-02-01T00:00:00Z","ec_funded":1,"date_updated":"2026-06-18T17:28:38Z","publication_status":"published","abstract":[{"text":"Turn-based stochastic games (aka simple stochastic games) are two-player zero-sum games played on directed graphs with probabilistic transitions. The goal of player-max is to maximize the probability to reach a target state against the adversarial player-min. These games lie in NP ∩ coNP and are among the rare combinatorial problems that belong to this complexity class for which the existence of polynomial-time algorithm is a major open question. While randomized sub-exponential time algorithm exists, all known deterministic algorithms require exponential time in the worst-case. An important open question has been whether faster algorithms can be obtained parametrized by the treewidth of the game graph. Even deterministic sub-exponential time algorithm for constant treewidth turn-based stochastic games has remain elusive. In this work our main result is a deterministic algorithm to solve turn-based stochastic games that, given a game with n states, treewidth at most t, and the bit-complexity of the probabilistic transition function log D, has running time O ((tn2 log D)t log n). In particular, our algorithm is quasi-polynomial time for games with constant or poly-logarithmic treewidth.","lang":"eng"}],"quality_controlled":"1","publication":"Proceedings of the 2023 Annual ACM-SIAM Symposium on Discrete Algorithms","author":[{"orcid":"0000-0002-4561-241X","id":"2E5DCA20-F248-11E8-B48F-1D18A9856A87","first_name":"Krishnendu","last_name":"Chatterjee","full_name":"Chatterjee, Krishnendu"},{"id":"b21b0c15-30a2-11eb-80dc-f13ca25802e1","orcid":"0000-0002-1712-2165","full_name":"Meggendorfer, Tobias","last_name":"Meggendorfer","first_name":"Tobias"},{"first_name":"Raimundo J","full_name":"Saona Urmeneta, Raimundo J","last_name":"Saona Urmeneta","orcid":"0000-0001-5103-038X","id":"BD1DF4C4-D767-11E9-B658-BC13E6697425"},{"orcid":"0000-0002-1419-3267","id":"130759D2-D7DD-11E9-87D2-DE0DE6697425","first_name":"Jakub","last_name":"Svoboda","full_name":"Svoboda, Jakub"}],"year":"2023","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","_id":"12676","oa":1,"article_processing_charge":"No","main_file_link":[{"open_access":"1","url":"https://doi.org/10.1137/1.9781611977554.ch173"}],"fulldoi":"https://doi.org/10.1137/1.9781611977554.ch173","conference":{"location":"Florence, Italy","name":"SODA: Symposium on Discrete Algorithms","end_date":"2023-01-25","start_date":"2023-01-22"},"project":[{"grant_number":"863818","_id":"0599E47C-7A3F-11EA-A408-12923DDC885E","name":"Formal Methods for Stochastic Models: Algorithms and Applications","call_identifier":"H2020"}]},{"fulldoi":"https://doi.org/10.1371/journal.pone.0279838","volume":18,"tmp":{"image":"/images/cc_by.png","short":"CC BY (4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)"},"article_processing_charge":"No","oa":1,"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","year":"2023","external_id":{"pmid":["36848357"],"isi":["000996122900022"]},"isi":1,"_id":"12706","quality_controlled":"1","publication":"PLoS One","abstract":[{"text":"Allometric settings of population dynamics models are appealing due to their parsimonious nature and broad utility when studying system level effects. Here, we parameterise the size-scaled Rosenzweig-MacArthur differential equations to eliminate prey-mass dependency, facilitating an in depth analytic study of the equations which incorporates scaling parameters’ contributions to coexistence. We define the functional response term to match empirical findings, and examine situations where metabolic theory derivations and observation diverge. The dynamical properties of the Rosenzweig-MacArthur system, encompassing the distribution of size-abundance equilibria, the scaling of period and amplitude of population cycling, and relationships between predator and prey abundances, are consistent with empirical observation. Our parameterisation is an accurate minimal model across 15+ orders of mass magnitude.","lang":"eng"}],"article_type":"original","author":[{"last_name":"Mckerral","full_name":"Mckerral, Jody C.","first_name":"Jody C."},{"id":"4E21749C-F248-11E8-B48F-1D18A9856A87","last_name":"Kleshnina","full_name":"Kleshnina, Maria","first_name":"Maria"},{"last_name":"Ejov","full_name":"Ejov, Vladimir","first_name":"Vladimir"},{"full_name":"Bartle, Louise","last_name":"Bartle","first_name":"Louise"},{"first_name":"James G.","full_name":"Mitchell, James G.","last_name":"Mitchell"},{"last_name":"Filar","full_name":"Filar, Jerzy A.","first_name":"Jerzy A."}],"publication_status":"published","pmid":1,"date_updated":"2023-10-17T12:53:30Z","date_published":"2023-02-27T00:00:00Z","file_date_updated":"2023-03-07T10:26:45Z","status":"public","ddc":["000"],"issue":"2","publisher":"Public Library of Science","intvolume":"        18","scopus_import":"1","citation":{"short":"J.C. Mckerral, M. Kleshnina, V. Ejov, L. Bartle, J.G. Mitchell, J.A. Filar, PLoS One 18 (2023) e0279838.","ieee":"J. C. Mckerral, M. Kleshnina, V. Ejov, L. Bartle, J. G. Mitchell, and J. A. Filar, “Empirical parameterisation and dynamical analysis of the allometric Rosenzweig-MacArthur equations,” <i>PLoS One</i>, vol. 18, no. 2. Public Library of Science, p. e0279838, 2023.","mla":"Mckerral, Jody C., et al. “Empirical Parameterisation and Dynamical Analysis of the Allometric Rosenzweig-MacArthur Equations.” <i>PLoS One</i>, vol. 18, no. 2, Public Library of Science, 2023, p. e0279838, doi:<a href=\"https://doi.org/10.1371/journal.pone.0279838\">10.1371/journal.pone.0279838</a>.","ista":"Mckerral JC, Kleshnina M, Ejov V, Bartle L, Mitchell JG, Filar JA. 2023. Empirical parameterisation and dynamical analysis of the allometric Rosenzweig-MacArthur equations. PLoS One. 18(2), e0279838.","apa":"Mckerral, J. C., Kleshnina, M., Ejov, V., Bartle, L., Mitchell, J. G., &#38; Filar, J. A. (2023). Empirical parameterisation and dynamical analysis of the allometric Rosenzweig-MacArthur equations. <i>PLoS One</i>. Public Library of Science. <a href=\"https://doi.org/10.1371/journal.pone.0279838\">https://doi.org/10.1371/journal.pone.0279838</a>","ama":"Mckerral JC, Kleshnina M, Ejov V, Bartle L, Mitchell JG, Filar JA. Empirical parameterisation and dynamical analysis of the allometric Rosenzweig-MacArthur equations. <i>PLoS One</i>. 2023;18(2):e0279838. doi:<a href=\"https://doi.org/10.1371/journal.pone.0279838\">10.1371/journal.pone.0279838</a>","chicago":"Mckerral, Jody C., Maria Kleshnina, Vladimir Ejov, Louise Bartle, James G. Mitchell, and Jerzy A. Filar. “Empirical Parameterisation and Dynamical Analysis of the Allometric Rosenzweig-MacArthur Equations.” <i>PLoS One</i>. Public Library of Science, 2023. <a href=\"https://doi.org/10.1371/journal.pone.0279838\">https://doi.org/10.1371/journal.pone.0279838</a>."},"month":"02","title":"Empirical parameterisation and dynamical analysis of the allometric Rosenzweig-MacArthur equations","page":"e0279838","day":"27","publication_identifier":{"eissn":["1932-6203"]},"acknowledgement":"This research was supported by an Australian Government Research Training Program\r\n(RTP) Scholarship to JCM (https://www.dese.gov.au), and LB is supported by the Centre de\r\nrecherche sur le vieillissement Fellowship Program. The funders had no role in study design, data collection and analysis, decision to publish, or preparation of the manuscript.","oa_version":"Published Version","language":[{"iso":"eng"}],"type":"journal_article","has_accepted_license":"1","date_created":"2023-03-05T23:01:05Z","file":[{"access_level":"open_access","date_created":"2023-03-07T10:26:45Z","file_name":"2023_PLOSOne_Mckerral.pdf","file_size":1257003,"date_updated":"2023-03-07T10:26:45Z","relation":"main_file","file_id":"12712","checksum":"798ed5739a4117b03173e5d56e0534c9","content_type":"application/pdf","creator":"cchlebak","success":1}],"doi":"10.1371/journal.pone.0279838","department":[{"_id":"KrCh"}]},{"title":"Token swapping on trees","day":"18","publication_identifier":{"issn":["1462-7264"],"eissn":["1365-8050"]},"acknowledgement":"This work was begun at the University of Waterloo and was partially supported by the Natural Sciences and Engineering Council of Canada (NSERC).\r\n","oa_version":"Published Version","language":[{"iso":"eng"}],"type":"journal_article","has_accepted_license":"1","date_created":"2023-04-16T22:01:08Z","file":[{"access_level":"open_access","date_created":"2023-04-17T08:10:28Z","file_id":"12844","file_name":"2022_DMTCS_Biniaz.pdf","relation":"main_file","file_size":2072197,"date_updated":"2023-04-17T08:10:28Z","creator":"dernst","success":1,"checksum":"439102ea4f6e2aeefd7107dfb9ccf532","content_type":"application/pdf"}],"doi":"10.46298/DMTCS.8383","department":[{"_id":"KrCh"},{"_id":"HeEd"},{"_id":"UlWa"}],"article_number":"9","file_date_updated":"2023-04-17T08:10:28Z","arxiv":1,"status":"public","ddc":["000"],"issue":"2","publisher":"EPI Sciences","intvolume":"        24","scopus_import":"1","citation":{"apa":"Biniaz, A., Jain, K., Lubiw, A., Masárová, Z., Miltzow, T., Mondal, D., … Turcotte, A. (2023). Token swapping on trees. <i>Discrete Mathematics and Theoretical Computer Science</i>. EPI Sciences. <a href=\"https://doi.org/10.46298/DMTCS.8383\">https://doi.org/10.46298/DMTCS.8383</a>","ama":"Biniaz A, Jain K, Lubiw A, et al. Token swapping on trees. <i>Discrete Mathematics and Theoretical Computer Science</i>. 2023;24(2). doi:<a href=\"https://doi.org/10.46298/DMTCS.8383\">10.46298/DMTCS.8383</a>","chicago":"Biniaz, Ahmad, Kshitij Jain, Anna Lubiw, Zuzana Masárová, Tillmann Miltzow, Debajyoti Mondal, Anurag Murty Naredla, Josef Tkadlec, and Alexi Turcotte. “Token Swapping on Trees.” <i>Discrete Mathematics and Theoretical Computer Science</i>. EPI Sciences, 2023. <a href=\"https://doi.org/10.46298/DMTCS.8383\">https://doi.org/10.46298/DMTCS.8383</a>.","ista":"Biniaz A, Jain K, Lubiw A, Masárová Z, Miltzow T, Mondal D, Naredla AM, Tkadlec J, Turcotte A. 2023. Token swapping on trees. Discrete Mathematics and Theoretical Computer Science. 24(2), 9.","mla":"Biniaz, Ahmad, et al. “Token Swapping on Trees.” <i>Discrete Mathematics and Theoretical Computer Science</i>, vol. 24, no. 2, 9, EPI Sciences, 2023, doi:<a href=\"https://doi.org/10.46298/DMTCS.8383\">10.46298/DMTCS.8383</a>.","ieee":"A. Biniaz <i>et al.</i>, “Token swapping on trees,” <i>Discrete Mathematics and Theoretical Computer Science</i>, vol. 24, no. 2. EPI Sciences, 2023.","short":"A. Biniaz, K. Jain, A. Lubiw, Z. Masárová, T. Miltzow, D. Mondal, A.M. Naredla, J. Tkadlec, A. Turcotte, Discrete Mathematics and Theoretical Computer Science 24 (2023)."},"month":"01","user_id":"3E5EF7F0-F248-11E8-B48F-1D18A9856A87","year":"2023","external_id":{"arxiv":["1903.06981"]},"_id":"12833","publication":"Discrete Mathematics and Theoretical Computer Science","quality_controlled":"1","abstract":[{"text":"The input to the token swapping problem is a graph with vertices v1, v2, . . . , vn, and n tokens with labels 1,2, . . . , n, one on each vertex. The goal is to get token i to vertex vi for all i= 1, . . . , n using a minimum number of swaps, where a swap exchanges the tokens on the endpoints of an edge.Token swapping on a tree, also known as “sorting with a transposition tree,” is not known to be in P nor NP-complete. We present some partial results: 1. An optimum swap sequence may need to perform a swap on a leaf vertex that has the correct token (a “happy leaf”), disproving a conjecture of Vaughan. 2. Any algorithm that fixes happy leaves—as all known approximation algorithms for the problem do—has approximation factor at least 4/3. Furthermore, the two best-known 2-approximation algorithms have approximation factor exactly 2. 3. A generalized problem—weighted coloured token swapping—is NP-complete on trees, but solvable in polynomial time on paths and stars. In this version, tokens and vertices have colours, and colours have weights. The goal is to get every token to a vertex of the same colour, and the cost of a swap is the sum of the weights of the two tokens involved.","lang":"eng"}],"related_material":{"record":[{"relation":"earlier_version","status":"public","id":"7950"}]},"author":[{"last_name":"Biniaz","full_name":"Biniaz, Ahmad","first_name":"Ahmad"},{"last_name":"Jain","full_name":"Jain, Kshitij","first_name":"Kshitij"},{"last_name":"Lubiw","full_name":"Lubiw, Anna","first_name":"Anna"},{"first_name":"Zuzana","last_name":"Masárová","full_name":"Masárová, Zuzana","orcid":"0000-0002-6660-1322","id":"45CFE238-F248-11E8-B48F-1D18A9856A87"},{"full_name":"Miltzow, Tillmann","last_name":"Miltzow","first_name":"Tillmann"},{"last_name":"Mondal","full_name":"Mondal, Debajyoti","first_name":"Debajyoti"},{"first_name":"Anurag Murty","full_name":"Naredla, Anurag Murty","last_name":"Naredla"},{"full_name":"Tkadlec, Josef","last_name":"Tkadlec","first_name":"Josef","id":"3F24CCC8-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-1097-9684"},{"last_name":"Turcotte","full_name":"Turcotte, Alexi","first_name":"Alexi"}],"article_type":"original","publication_status":"published","date_updated":"2025-01-20T14:05:09Z","date_published":"2023-01-18T00:00:00Z","fulldoi":"https://doi.org/10.46298/DMTCS.8383","volume":24,"tmp":{"image":"/images/cc_by.png","short":"CC BY (4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)"},"oa":1,"article_processing_charge":"No"},{"publisher":"Springer Nature","ddc":["000"],"status":"public","article_number":"2086","file_date_updated":"2023-04-25T09:13:53Z","month":"04","citation":{"mla":"Schmid, Laura, et al. “Quantitative Assessment Can Stabilize Indirect Reciprocity under Imperfect Information.” <i>Nature Communications</i>, vol. 14, 2086, Springer Nature, 2023, doi:<a href=\"https://doi.org/10.1038/s41467-023-37817-x\">10.1038/s41467-023-37817-x</a>.","ieee":"L. Schmid, F. Ekbatani, C. Hilbe, and K. Chatterjee, “Quantitative assessment can stabilize indirect reciprocity under imperfect information,” <i>Nature Communications</i>, vol. 14. Springer Nature, 2023.","short":"L. Schmid, F. Ekbatani, C. Hilbe, K. Chatterjee, Nature Communications 14 (2023).","apa":"Schmid, L., Ekbatani, F., Hilbe, C., &#38; Chatterjee, K. (2023). Quantitative assessment can stabilize indirect reciprocity under imperfect information. <i>Nature Communications</i>. Springer Nature. <a href=\"https://doi.org/10.1038/s41467-023-37817-x\">https://doi.org/10.1038/s41467-023-37817-x</a>","chicago":"Schmid, Laura, Farbod Ekbatani, Christian Hilbe, and Krishnendu Chatterjee. “Quantitative Assessment Can Stabilize Indirect Reciprocity under Imperfect Information.” <i>Nature Communications</i>. Springer Nature, 2023. <a href=\"https://doi.org/10.1038/s41467-023-37817-x\">https://doi.org/10.1038/s41467-023-37817-x</a>.","ama":"Schmid L, Ekbatani F, Hilbe C, Chatterjee K. Quantitative assessment can stabilize indirect reciprocity under imperfect information. <i>Nature Communications</i>. 2023;14. doi:<a href=\"https://doi.org/10.1038/s41467-023-37817-x\">10.1038/s41467-023-37817-x</a>","ista":"Schmid L, Ekbatani F, Hilbe C, Chatterjee K. 2023. Quantitative assessment can stabilize indirect reciprocity under imperfect information. Nature Communications. 14, 2086."},"scopus_import":"1","intvolume":"        14","oa_version":"Published Version","acknowledgement":"This work was supported by the European Research Council CoG 863818 (ForM-SMArt) (to K.C.) and the European Research Council Starting Grant 850529: E-DIRECT (to C.H.). L.S. received additional partial support by the Austrian Science Fund (FWF) under grant Z211-N23 (Wittgenstein Award), and also thanks the support by the Stochastic Analysis and Application Research Center (SAARC) under National Research Foundation of Korea grant NRF-2019R1A5A1028324. The authors additionally thank Stefan Schmid for providing access to his lab infrastructure at the University of Vienna for the purpose of collecting simulation data.","publication_identifier":{"eissn":["2041-1723"]},"day":"12","title":"Quantitative assessment can stabilize indirect reciprocity under imperfect information","department":[{"_id":"KrCh"}],"doi":"10.1038/s41467-023-37817-x","file":[{"file_id":"12868","file_name":"2023_NatureComm_Schmid.pdf","date_updated":"2023-04-25T09:13:53Z","relation":"main_file","file_size":1786475,"date_created":"2023-04-25T09:13:53Z","access_level":"open_access","creator":"dernst","success":1,"content_type":"application/pdf","checksum":"a4b3b7b36fbef068cabf4fb99501fef6"}],"date_created":"2023-04-23T22:01:03Z","type":"journal_article","has_accepted_license":"1","language":[{"iso":"eng"}],"project":[{"grant_number":"863818","_id":"0599E47C-7A3F-11EA-A408-12923DDC885E","call_identifier":"H2020","name":"Formal Methods for Stochastic Models: Algorithms and Applications"},{"call_identifier":"FWF","name":"Formal methods for the design and analysis of complex systems","grant_number":"Z211","_id":"25F42A32-B435-11E9-9278-68D0E5697425"}],"article_processing_charge":"No","oa":1,"tmp":{"image":"/images/cc_by.png","short":"CC BY (4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)"},"fulldoi":"https://doi.org/10.1038/s41467-023-37817-x","volume":14,"author":[{"id":"38B437DE-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-6978-7329","full_name":"Schmid, Laura","last_name":"Schmid","first_name":"Laura"},{"first_name":"Farbod","full_name":"Ekbatani, Farbod","last_name":"Ekbatani"},{"orcid":"0000-0001-5116-955X","id":"2FDF8F3C-F248-11E8-B48F-1D18A9856A87","first_name":"Christian","full_name":"Hilbe, Christian","last_name":"Hilbe"},{"last_name":"Chatterjee","full_name":"Chatterjee, Krishnendu","first_name":"Krishnendu","id":"2E5DCA20-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-4561-241X"}],"article_type":"original","abstract":[{"text":"The field of indirect reciprocity investigates how social norms can foster cooperation when individuals continuously monitor and assess each other’s social interactions. By adhering to certain social norms, cooperating individuals can improve their reputation and, in turn, receive benefits from others. Eight social norms, known as the “leading eight,\" have been shown to effectively promote the evolution of cooperation as long as information is public and reliable. These norms categorize group members as either ’good’ or ’bad’. In this study, we examine a scenario where individuals instead assign nuanced reputation scores to each other, and only cooperate with those whose reputation exceeds a certain threshold. We find both analytically and through simulations that such quantitative assessments are error-correcting, thus facilitating cooperation in situations where information is private and unreliable. Moreover, our results identify four specific norms that are robust to such conditions, and may be relevant for helping to sustain cooperation in natural populations.","lang":"eng"}],"publication":"Nature Communications","quality_controlled":"1","_id":"12861","isi":1,"external_id":{"pmid":["37045828"],"isi":["001003644100020"]},"year":"2023","user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","date_published":"2023-04-12T00:00:00Z","date_updated":"2025-04-15T06:26:15Z","ec_funded":1,"pmid":1,"publication_status":"published"}]
