[{"article_processing_charge":"No","license":"https://creativecommons.org/licenses/by/4.0/","abstract":[{"lang":"eng","text":"Reconstructing the evolutionary history of metastases is critical for understanding their basic biological principles and has profound clinical implications. Genome-wide sequencing data has enabled modern phylogenomic methods to accurately dissect subclones and their phylogenies from noisy and impure bulk tumour samples at unprecedented depth. However, existing methods are not designed to infer metastatic seeding patterns. Here we develop a tool, called Treeomics, to reconstruct the phylogeny of metastases and map subclones to their anatomic locations. Treeomics infers comprehensive seeding patterns for pancreatic, ovarian, and prostate cancers. Moreover, Treeomics correctly disambiguates true seeding patterns from sequencing artifacts; 7% of variants were misclassified by conventional statistical methods. These artifacts can skew phylogenies by creating illusory tumour heterogeneity among distinct samples. In silico benchmarking on simulated tumour phylogenies across a wide range of sample purities (15–95%) and sequencing depths (25-800 × ) demonstrates the accuracy of Treeomics compared with existing methods."}],"external_id":{"isi":["000393096600001"]},"publication_status":"published","title":"Reconstructing metastatic seeding patterns of human cancers","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","author":[{"first_name":"Johannes","last_name":"Reiter","full_name":"Reiter, Johannes","orcid":"0000-0002-0170-7353","id":"4A918E98-F248-11E8-B48F-1D18A9856A87"},{"last_name":"Makohon Moore","first_name":"Alvin","full_name":"Makohon Moore, Alvin"},{"full_name":"Gerold, Jeffrey","last_name":"Gerold","first_name":"Jeffrey"},{"full_name":"Božić, Ivana","first_name":"Ivana","last_name":"Božić"},{"full_name":"Chatterjee, Krishnendu","orcid":"0000-0002-4561-241X","id":"2E5DCA20-F248-11E8-B48F-1D18A9856A87","first_name":"Krishnendu","last_name":"Chatterjee"},{"last_name":"Iacobuzio Donahue","first_name":"Christine","full_name":"Iacobuzio Donahue, Christine"},{"first_name":"Bert","last_name":"Vogelstein","full_name":"Vogelstein, Bert"},{"last_name":"Nowak","first_name":"Martin","full_name":"Nowak, Martin"}],"volume":8,"quality_controlled":"1","file":[{"relation":"main_file","access_level":"open_access","date_updated":"2018-12-12T10:15:15Z","file_size":897050,"file_id":"5133","creator":"system","date_created":"2018-12-12T10:15:15Z","content_type":"application/pdf","file_name":"IST-2017-786-v1+1_ncomms14114.pdf"}],"has_accepted_license":"1","ddc":["004","006"],"year":"2017","date_created":"2018-12-11T11:50:02Z","article_number":"14114","publication_identifier":{"issn":["2041-1723"]},"doi":"10.1038/ncomms14114","publication":"Nature Communications","isi":1,"oa":1,"file_date_updated":"2018-12-12T10:15:15Z","month":"01","language":[{"iso":"eng"}],"date_published":"2017-01-31T00:00:00Z","publisher":"Nature Publishing Group","department":[{"_id":"KrCh"}],"date_updated":"2025-07-10T11:50:00Z","intvolume":"         8","oa_version":"Published Version","type":"journal_article","publist_id":"6301","_id":"1080","scopus_import":"1","citation":{"mla":"Reiter, Johannes, et al. “Reconstructing Metastatic Seeding Patterns of Human Cancers.” <i>Nature Communications</i>, vol. 8, 14114, Nature Publishing Group, 2017, doi:<a href=\"https://doi.org/10.1038/ncomms14114\">10.1038/ncomms14114</a>.","apa":"Reiter, J., Makohon Moore, A., Gerold, J., Božić, I., Chatterjee, K., Iacobuzio Donahue, C., … Nowak, M. (2017). Reconstructing metastatic seeding patterns of human cancers. <i>Nature Communications</i>. Nature Publishing Group. <a href=\"https://doi.org/10.1038/ncomms14114\">https://doi.org/10.1038/ncomms14114</a>","chicago":"Reiter, Johannes, Alvin Makohon Moore, Jeffrey Gerold, Ivana Božić, Krishnendu Chatterjee, Christine Iacobuzio Donahue, Bert Vogelstein, and Martin Nowak. “Reconstructing Metastatic Seeding Patterns of Human Cancers.” <i>Nature Communications</i>. Nature Publishing Group, 2017. <a href=\"https://doi.org/10.1038/ncomms14114\">https://doi.org/10.1038/ncomms14114</a>.","ama":"Reiter J, Makohon Moore A, Gerold J, et al. Reconstructing metastatic seeding patterns of human cancers. <i>Nature Communications</i>. 2017;8. doi:<a href=\"https://doi.org/10.1038/ncomms14114\">10.1038/ncomms14114</a>","ista":"Reiter J, Makohon Moore A, Gerold J, Božić I, Chatterjee K, Iacobuzio Donahue C, Vogelstein B, Nowak M. 2017. Reconstructing metastatic seeding patterns of human cancers. Nature Communications. 8, 14114.","short":"J. Reiter, A. Makohon Moore, J. Gerold, I. Božić, K. Chatterjee, C. Iacobuzio Donahue, B. Vogelstein, M. Nowak, Nature Communications 8 (2017).","ieee":"J. Reiter <i>et al.</i>, “Reconstructing metastatic seeding patterns of human cancers,” <i>Nature Communications</i>, vol. 8. Nature Publishing Group, 2017."},"project":[{"grant_number":"279307","_id":"2581B60A-B435-11E9-9278-68D0E5697425","name":"Quantitative Graph Games: Theory and Applications","call_identifier":"FP7"},{"call_identifier":"FWF","name":"Modern Graph Algorithmic Techniques in Formal Verification","_id":"2584A770-B435-11E9-9278-68D0E5697425","grant_number":"P 23499-N23"},{"grant_number":"S11407","_id":"25863FF4-B435-11E9-9278-68D0E5697425","name":"Game Theory","call_identifier":"FWF"}],"ec_funded":1,"tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)"},"pubrep_id":"786","status":"public","day":"31"},{"has_accepted_license":"1","ddc":["000"],"corr_author":"1","file":[{"date_created":"2018-12-12T10:11:44Z","file_name":"IST-2017-854-v1+1_Pavlogiannis_Thesis_PubRep.pdf","content_type":"application/pdf","creator":"system","file_id":"4900","checksum":"3a3ec003f6ee73f41f82a544d63dfc77","relation":"main_file","access_level":"open_access","date_updated":"2020-07-14T12:48:10Z","file_size":4103115},{"file_name":"2017_thesis_Pavlogiannis.zip","content_type":"application/zip","date_created":"2019-04-05T07:59:31Z","creator":"dernst","file_id":"6201","date_updated":"2020-07-14T12:48:10Z","file_size":14744374,"relation":"source_file","checksum":"bd2facc45ff8a2e20c5ed313c2ccaa83","access_level":"closed"}],"publication_identifier":{"issn":["2663-337X"]},"doi":"10.15479/AT:ISTA:th_854","year":"2017","date_created":"2018-12-11T11:48:41Z","degree_awarded":"PhD","title":"Algorithmic advances in program analysis and their applications","supervisor":[{"full_name":"Chatterjee, Krishnendu","id":"2E5DCA20-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-4561-241X","last_name":"Chatterjee","first_name":"Krishnendu"}],"page":"418","article_processing_charge":"No","license":"https://creativecommons.org/licenses/by-nd/4.0/","abstract":[{"lang":"eng","text":"This dissertation focuses on algorithmic aspects of program verification, and presents modeling and complexity advances on several problems related to the\r\nstatic analysis of programs, the stateless model checking of concurrent programs, and the competitive analysis of real-time scheduling algorithms.\r\nOur contributions can be broadly grouped into five categories.\r\n\r\nOur first contribution is a set of new algorithms and data structures for the quantitative and data-flow analysis of programs, based on the graph-theoretic notion of treewidth.\r\nIt has been observed that the control-flow graphs of typical programs have special structure, and are characterized as graphs of small treewidth.\r\nWe utilize this structural property to provide faster algorithms for the quantitative and data-flow analysis of recursive and concurrent programs.\r\nIn most cases we make an algebraic treatment of the considered problem,\r\nwhere several interesting analyses, such as the reachability, shortest path, and certain kind of data-flow analysis problems follow as special cases. \r\nWe exploit the constant-treewidth property to obtain algorithmic improvements for on-demand versions of the problems, \r\nand provide data structures with various tradeoffs between the resources spent in the preprocessing and querying phase.\r\nWe also improve on the algorithmic complexity of quantitative problems outside the algebraic path framework,\r\nnamely of the minimum mean-payoff, minimum ratio, and minimum initial credit for energy problems.\r\n\r\n\r\nOur second contribution is a set of algorithms for Dyck reachability with applications to data-dependence analysis and alias analysis.\r\nIn particular, we develop an optimal algorithm for Dyck reachability on bidirected graphs, which are ubiquitous in context-insensitive, field-sensitive points-to analysis.\r\nAdditionally, we develop an efficient algorithm for context-sensitive data-dependence analysis via Dyck reachability,\r\nwhere the task is to obtain analysis summaries of library code in the presence of callbacks.\r\nOur algorithm preprocesses libraries in almost linear time, after which the contribution of the library in the complexity of the client analysis is (i)~linear in the number of call sites and (ii)~only logarithmic in the size of the whole library, as opposed to linear in the size of the whole library.\r\nFinally, we prove that Dyck reachability is Boolean Matrix Multiplication-hard in general, and the hardness also holds for graphs of constant treewidth.\r\nThis hardness result strongly indicates that there exist no combinatorial algorithms for Dyck reachability with truly subcubic complexity.\r\n\r\n\r\nOur third contribution is the formalization and algorithmic treatment of the Quantitative Interprocedural Analysis framework.\r\nIn this framework, the transitions of a recursive program are annotated as good, bad or neutral, and receive a weight which measures\r\nthe magnitude of their respective effect.\r\nThe Quantitative Interprocedural Analysis problem asks to determine whether there exists an infinite run of the program where the long-run ratio of the bad weights over the good weights is above a given threshold.\r\nWe illustrate how several quantitative problems related to static analysis of recursive programs can be instantiated in this framework,\r\nand present some case studies to this direction.\r\n\r\n\r\nOur fourth contribution is a new dynamic partial-order reduction for the stateless model checking of concurrent programs. Traditional approaches rely on the standard Mazurkiewicz equivalence between  traces, by means of partitioning the trace space into equivalence classes, and attempting to explore a few representatives from each class.\r\nWe present a new dynamic partial-order reduction method  called the Data-centric Partial Order Reduction (DC-DPOR).\r\nOur algorithm is based on a new equivalence between traces, called the observation equivalence.\r\nDC-DPOR explores a coarser partitioning of the trace space than any exploration method based on the standard Mazurkiewicz equivalence.\r\nDepending on the program, the new partitioning can be even exponentially coarser.\r\nAdditionally, DC-DPOR spends only polynomial time in each explored class.\r\n\r\n\r\nOur fifth contribution is the use of automata and game-theoretic verification techniques in the competitive analysis and synthesis of real-time scheduling algorithms for firm-deadline tasks.\r\nOn the analysis side, we leverage automata on infinite words to compute the competitive ratio of real-time schedulers subject to various environmental constraints.\r\nOn the synthesis side, we introduce a new instance of two-player mean-payoff partial-information games, and show\r\nhow the synthesis of an optimal real-time scheduler can be reduced to computing winning strategies in this new type of games."}],"publication_status":"published","related_material":{"record":[{"status":"public","id":"1602","relation":"part_of_dissertation"},{"relation":"part_of_dissertation","id":"1604","status":"public"},{"status":"public","id":"1437","relation":"part_of_dissertation"},{"id":"1071","relation":"part_of_dissertation","status":"public"},{"relation":"part_of_dissertation","id":"1607","status":"public"},{"id":"1714","relation":"part_of_dissertation","status":"public"}]},"author":[{"last_name":"Pavlogiannis","first_name":"Andreas","id":"49704004-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-8943-0722","full_name":"Pavlogiannis, Andreas"}],"user_id":"ba8df636-2132-11f1-aed0-ed93e2281fdd","OA_place":"publisher","citation":{"ista":"Pavlogiannis A. 2017. Algorithmic advances in program analysis and their applications. Institute of Science and Technology Austria.","ama":"Pavlogiannis A. Algorithmic advances in program analysis and their applications. 2017. doi:<a href=\"https://doi.org/10.15479/AT:ISTA:th_854\">10.15479/AT:ISTA:th_854</a>","short":"A. Pavlogiannis, Algorithmic Advances in Program Analysis and Their Applications, Institute of Science and Technology Austria, 2017.","ieee":"A. Pavlogiannis, “Algorithmic advances in program analysis and their applications,” Institute of Science and Technology Austria, 2017.","mla":"Pavlogiannis, Andreas. <i>Algorithmic Advances in Program Analysis and Their Applications</i>. Institute of Science and Technology Austria, 2017, doi:<a href=\"https://doi.org/10.15479/AT:ISTA:th_854\">10.15479/AT:ISTA:th_854</a>.","chicago":"Pavlogiannis, Andreas. “Algorithmic Advances in Program Analysis and Their Applications.” Institute of Science and Technology Austria, 2017. <a href=\"https://doi.org/10.15479/AT:ISTA:th_854\">https://doi.org/10.15479/AT:ISTA:th_854</a>.","apa":"Pavlogiannis, A. (2017). <i>Algorithmic advances in program analysis and their applications</i>. Institute of Science and Technology Austria. <a href=\"https://doi.org/10.15479/AT:ISTA:th_854\">https://doi.org/10.15479/AT:ISTA:th_854</a>"},"project":[{"name":"Modern Graph Algorithmic Techniques in Formal Verification","call_identifier":"FWF","grant_number":"P 23499-N23","_id":"2584A770-B435-11E9-9278-68D0E5697425"},{"grant_number":"S 11407_N23","_id":"25832EC2-B435-11E9-9278-68D0E5697425","name":"Rigorous Systems Engineering","call_identifier":"FWF"},{"grant_number":"279307","_id":"2581B60A-B435-11E9-9278-68D0E5697425","name":"Quantitative Graph Games: Theory and Applications","call_identifier":"FP7"}],"alternative_title":["ISTA Thesis"],"status":"public","day":"09","pubrep_id":"854","ec_funded":1,"tmp":{"short":"CC BY-ND (4.0)","image":"/image/cc_by_nd.png","legal_code_url":"https://creativecommons.org/licenses/by-nd/4.0/legalcode","name":"Creative Commons Attribution-NoDerivatives 4.0 International (CC BY-ND 4.0)"},"month":"08","language":[{"iso":"eng"}],"date_published":"2017-08-09T00:00:00Z","department":[{"_id":"KrCh"}],"publisher":"Institute of Science and Technology Austria","date_updated":"2026-04-08T14:22:17Z","oa":1,"file_date_updated":"2020-07-14T12:48:10Z","publist_id":"6828","_id":"821","oa_version":"Published Version","type":"dissertation","acknowledgement":"First, I am thankful to my advisor, Krishnendu Chatterjee, for offering me the opportunity to\r\nmaterialize my scientific curiosity in a remarkably wide range of interesting topics, as well as for his constant availability and continuous support throughout my doctoral studies. I have had the privilege of collaborating with, discussing and getting inspired by all members of my committee: Thomas A. Henzinger, Ulrich Schmid and Martin A. Nowak. The role of the above four people has been very instrumental both to the research carried out for this dissertation, and to the researcher I evolved to in the process.\r\nI have greatly enjoyed my numerous brainstorming sessions with Rasmus Ibsen-Jensen, many\r\nof which led to results on low-treewidth graphs presented here.  I thank Alex Kößler for our\r\ndiscussions on modeling and analyzing real-time scheduling algorithms, Yaron Velner for our\r\ncollaboration on the Quantitative Interprocedural Analysis framework, and Nishant Sinha for our initial discussions on partial order reduction techniques in stateless model checking. I also thank Jan Otop, Ben Adlam, Bernhard Kragl and Josef Tkadlec for our fruitful collaborations on\r\ntopics outside the scope of this dissertation, as well as the interns Prateesh Goyal, Amir Kafshdar Goharshady, Samarth Mishra, Bhavya Choudhary and Marek Chalupa, with whom I have shared my excitement on various research topics. Together with my collaborators, I thank officemates and members of the Chatterjee and Henzinger groups throughout the years, Thorsten Tarrach, Ventsi Chonev, Roopsha Samanta, Przemek Daca, Mirco Giacobbe, Tanja Petrov, Ashutosh\r\nGupta,  Arjun Radhakrishna,  Petr Novontý,  Christian Hilbe,  Jakob Ruess,  Martin Chmelik,\r\nCezara Dragoi, Johannes Reiter, Andrey Kupriyanov, Guy Avni, Sasha Rubin, Jessica Davies, Hongfei Fu, Thomas Ferrère, Pavol Cerný, Ali Sezgin, Jan Kretínský, Sergiy Bogomolov, Hui\r\nKong, Benjamin Aminof, Duc-Hiep Chu, and Damien Zufferey.  Besides collaborations and office spaces, with many of the above people I have been fortunate to share numerous whiteboard\r\ndiscussions, as well as memorable long walks and amicable meals accompanied by stimulating\r\nconversations. I am highly indebted to Elisabeth Hacker for her continuous assistance in matters\r\nthat often exceeded her official duties, and who made my integration in Austria a smooth process."},{"_id":"950","scopus_import":1,"publist_id":"6466","type":"conference","oa_version":"Published Version","intvolume":"        85","publisher":"Schloss Dagstuhl - Leibniz-Zentrum für Informatik","arxiv":1,"department":[{"_id":"ToHe"},{"_id":"KrCh"}],"date_updated":"2025-07-10T11:53:48Z","month":"09","language":[{"iso":"eng"}],"date_published":"2017-09-01T00:00:00Z","oa":1,"file_date_updated":"2020-07-14T12:48:16Z","status":"public","day":"01","pubrep_id":"844","alternative_title":["LIPIcs"],"tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)"},"project":[{"_id":"25832EC2-B435-11E9-9278-68D0E5697425","grant_number":"S 11407_N23","call_identifier":"FWF","name":"Rigorous Systems Engineering"},{"call_identifier":"FWF","name":"Formal methods for the design and analysis of complex systems","_id":"25F42A32-B435-11E9-9278-68D0E5697425","grant_number":"Z211"}],"citation":{"mla":"Avni, Guy, et al. <i>Infinite-Duration Bidding Games</i>. Vol. 85, 17, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2017, doi:<a href=\"https://doi.org/10.4230/LIPIcs.CONCUR.2017.21\">10.4230/LIPIcs.CONCUR.2017.21</a>.","chicago":"Avni, Guy, Thomas A Henzinger, and Ventsislav K Chonev. “Infinite-Duration Bidding Games,” Vol. 85. Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2017. <a href=\"https://doi.org/10.4230/LIPIcs.CONCUR.2017.21\">https://doi.org/10.4230/LIPIcs.CONCUR.2017.21</a>.","apa":"Avni, G., Henzinger, T. A., &#38; Chonev, V. K. (2017). Infinite-duration bidding games (Vol. 85). Presented at the CONCUR: Concurrency Theory, Berlin, Germany: Schloss Dagstuhl - Leibniz-Zentrum für Informatik. <a href=\"https://doi.org/10.4230/LIPIcs.CONCUR.2017.21\">https://doi.org/10.4230/LIPIcs.CONCUR.2017.21</a>","ama":"Avni G, Henzinger TA, Chonev VK. Infinite-duration bidding games. In: Vol 85. Schloss Dagstuhl - Leibniz-Zentrum für Informatik; 2017. doi:<a href=\"https://doi.org/10.4230/LIPIcs.CONCUR.2017.21\">10.4230/LIPIcs.CONCUR.2017.21</a>","ista":"Avni G, Henzinger TA, Chonev VK. 2017. Infinite-duration bidding games. CONCUR: Concurrency Theory, LIPIcs, vol. 85, 17.","ieee":"G. Avni, T. A. Henzinger, and V. K. Chonev, “Infinite-duration bidding games,” presented at the CONCUR: Concurrency Theory, Berlin, Germany, 2017, vol. 85.","short":"G. Avni, T.A. Henzinger, V.K. Chonev, in:, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2017."},"related_material":{"record":[{"status":"public","id":"6752","relation":"later_version"}]},"volume":85,"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","author":[{"first_name":"Guy","last_name":"Avni","full_name":"Avni, Guy","id":"463C8BC2-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0001-5588-8287"},{"last_name":"Henzinger","first_name":"Thomas A","orcid":"0000−0002−2985−7724","id":"40876CD8-F248-11E8-B48F-1D18A9856A87","full_name":"Henzinger, Thomas A"},{"first_name":"Ventsislav K","last_name":"Chonev","full_name":"Chonev, Ventsislav K","id":"36CBE2E6-F248-11E8-B48F-1D18A9856A87"}],"title":"Infinite-duration bidding games","abstract":[{"text":"Two-player games on graphs are widely studied in formal methods as they model the interaction between a system and its environment. The game is played by moving a token throughout a graph to produce an infinite path. There are several common modes to determine how the players move the token through the graph; e.g., in turn-based games the players alternate turns in moving the token. We study the bidding mode of moving the token, which, to the best of our knowledge, has never been studied in infinite-duration games. Both players have separate budgets, which sum up to $1$. In each turn, a bidding takes place. Both players submit bids simultaneously, and a bid is legal if it does not exceed the available budget. The winner of the bidding pays his bid to the other player and moves the token. For reachability objectives, repeated bidding games have been studied and are called Richman games. There, a central question is the existence and computation of threshold budgets; namely, a value t\\in [0,1] such that if\\PO's budget exceeds $t$, he can win the game, and if\\PT's budget exceeds 1-t, he can win the game. We focus on parity games and mean-payoff games. We show the existence of threshold budgets in these games, and reduce the problem of finding them to Richman games. We also determine the strategy-complexity of an optimal strategy. Our most interesting result shows that memoryless strategies suffice for mean-payoff bidding games. \r\n","lang":"eng"}],"external_id":{"arxiv":["1705.01433"]},"publication_status":"published","doi":"10.4230/LIPIcs.CONCUR.2017.21","publication_identifier":{"issn":["1868-8969"]},"article_number":"17","year":"2017","date_created":"2018-12-11T11:49:22Z","ddc":["000"],"conference":{"start_date":"2017-09-05","name":"CONCUR: Concurrency Theory","end_date":"2017-09-07","location":"Berlin, Germany"},"has_accepted_license":"1","quality_controlled":"1","file":[{"file_name":"IST-2017-844-v1+1_concur-cr.pdf","content_type":"application/pdf","date_created":"2018-12-12T10:18:00Z","creator":"system","file_id":"5318","date_updated":"2020-07-14T12:48:16Z","file_size":335170,"access_level":"open_access","relation":"main_file","checksum":"6d5cccf755207b91ccbef95d8275b013"}]},{"oa":1,"isi":1,"department":[{"_id":"KrCh"}],"publisher":"Springer","arxiv":1,"date_updated":"2025-09-11T07:18:04Z","language":[{"iso":"eng"}],"month":"07","date_published":"2017-07-13T00:00:00Z","type":"conference","intvolume":"     10426","oa_version":"Submitted Version","_id":"645","scopus_import":"1","publist_id":"7135","project":[{"name":"Efficient Algorithms for Computer Aided Verification","_id":"25892FC0-B435-11E9-9278-68D0E5697425","grant_number":"ICT15-003"},{"name":"Game Theory","call_identifier":"FWF","grant_number":"S11407","_id":"25863FF4-B435-11E9-9278-68D0E5697425"},{"call_identifier":"FP7","name":"Quantitative Graph Games: Theory and Applications","_id":"2581B60A-B435-11E9-9278-68D0E5697425","grant_number":"279307"}],"citation":{"ieee":"P. Ashok, K. Chatterjee, P. Daca, J. Kretinsky, and T. Meggendorfer, “Value iteration for long run average reward in markov decision processes,” presented at the CAV: Computer Aided Verification, Heidelberg, Germany, 2017, vol. 10426, pp. 201–221.","short":"P. Ashok, K. Chatterjee, P. Daca, J. Kretinsky, T. Meggendorfer, in:, R. Majumdar, V. Kunčak (Eds.), Springer, 2017, pp. 201–221.","ista":"Ashok P, Chatterjee K, Daca P, Kretinsky J, Meggendorfer T. 2017. Value iteration for long run average reward in markov decision processes. CAV: Computer Aided Verification, LNCS, vol. 10426, 201–221.","ama":"Ashok P, Chatterjee K, Daca P, Kretinsky J, Meggendorfer T. Value iteration for long run average reward in markov decision processes. In: Majumdar R, Kunčak V, eds. Vol 10426. Springer; 2017:201-221. doi:<a href=\"https://doi.org/10.1007/978-3-319-63387-9_10\">10.1007/978-3-319-63387-9_10</a>","apa":"Ashok, P., Chatterjee, K., Daca, P., Kretinsky, J., &#38; Meggendorfer, T. (2017). Value iteration for long run average reward in markov decision processes. In R. Majumdar &#38; V. Kunčak (Eds.) (Vol. 10426, pp. 201–221). Presented at the CAV: Computer Aided Verification, Heidelberg, Germany: Springer. <a href=\"https://doi.org/10.1007/978-3-319-63387-9_10\">https://doi.org/10.1007/978-3-319-63387-9_10</a>","chicago":"Ashok, Pranav, Krishnendu Chatterjee, Przemyslaw Daca, Jan Kretinsky, and Tobias Meggendorfer. “Value Iteration for Long Run Average Reward in Markov Decision Processes.” edited by Rupak Majumdar and Viktor Kunčak, 10426:201–21. Springer, 2017. <a href=\"https://doi.org/10.1007/978-3-319-63387-9_10\">https://doi.org/10.1007/978-3-319-63387-9_10</a>.","mla":"Ashok, Pranav, et al. <i>Value Iteration for Long Run Average Reward in Markov Decision Processes</i>. Edited by Rupak Majumdar and Viktor Kunčak, vol. 10426, Springer, 2017, pp. 201–21, doi:<a href=\"https://doi.org/10.1007/978-3-319-63387-9_10\">10.1007/978-3-319-63387-9_10</a>."},"ec_funded":1,"status":"public","day":"13","alternative_title":["LNCS"],"abstract":[{"text":"Markov decision processes (MDPs) are standard models for probabilistic systems with non-deterministic behaviours. Long-run average rewards provide a mathematically elegant formalism for expressing long term performance. Value iteration (VI) is one of the simplest and most efficient algorithmic approaches to MDPs with other properties, such as reachability objectives. Unfortunately, a naive extension of VI does not work for MDPs with long-run average rewards, as there is no known stopping criterion. In this work our contributions are threefold. (1) We refute a conjecture related to stopping criteria for MDPs with long-run average rewards. (2) We present two practical algorithms for MDPs with long-run average rewards based on VI. First, we show that a combination of applying VI locally for each maximal end-component (MEC) and VI for reachability objectives can provide approximation guarantees. Second, extending the above approach with a simulation-guided on-demand variant of VI, we present an anytime algorithm that is able to deal with very large models. (3) Finally, we present experimental results showing that our methods significantly outperform the standard approaches on several benchmarks.","lang":"eng"}],"external_id":{"arxiv":["1705.02326"],"isi":["000432196400010"]},"publication_status":"published","page":"201 - 221","article_processing_charge":"No","title":"Value iteration for long run average reward in markov decision processes","volume":10426,"editor":[{"full_name":"Majumdar, Rupak","last_name":"Majumdar","first_name":"Rupak"},{"full_name":"Kunčak, Viktor","last_name":"Kunčak","first_name":"Viktor"}],"user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","author":[{"last_name":"Ashok","first_name":"Pranav","full_name":"Ashok, Pranav"},{"full_name":"Chatterjee, Krishnendu","id":"2E5DCA20-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-4561-241X","first_name":"Krishnendu","last_name":"Chatterjee"},{"first_name":"Przemyslaw","last_name":"Daca","id":"49351290-F248-11E8-B48F-1D18A9856A87","full_name":"Daca, Przemyslaw"},{"last_name":"Kretinsky","first_name":"Jan","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"}],"quality_controlled":"1","conference":{"start_date":"2017-07-24","name":"CAV: Computer Aided Verification","end_date":"2017-07-28","location":"Heidelberg, Germany"},"main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/1705.02326"}],"year":"2017","date_created":"2018-12-11T11:47:41Z","doi":"10.1007/978-3-319-63387-9_10","publication_identifier":{"isbn":["978-331963386-2"]}},{"title":"Improved set-based symbolic algorithms for parity games","article_processing_charge":"No","license":"https://creativecommons.org/licenses/by/3.0/","abstract":[{"text":"Graph games with omega-regular winning conditions provide a mathematical framework to analyze a wide range of problems in the analysis of reactive systems and programs (such as the synthesis of reactive systems, program repair, and the verification of branching time properties). Parity conditions are canonical forms to specify omega-regular winning conditions. Graph games with parity conditions are equivalent to mu-calculus model checking, and thus a very important algorithmic problem. Symbolic algorithms are of great significance because they provide scalable algorithms for the analysis of large finite-state systems, as well as algorithms for the analysis of infinite-state systems with finite quotient. A set-based symbolic algorithm uses the basic set operations and the one-step predecessor operators. We consider graph games with n vertices and parity conditions with c priorities (equivalently, a mu-calculus formula with c alternations of least and greatest fixed points). While many explicit algorithms exist for graph games with parity conditions, for set-based symbolic algorithms there are only two algorithms (notice that we use space to refer to the number of sets stored by a symbolic algorithm): (a) the basic algorithm that requires O(n^c) symbolic operations and linear space; and (b) an improved algorithm that requires O(n^{c/2+1}) symbolic operations but also O(n^{c/2+1}) space (i.e., exponential space). In this work we present two set-based symbolic algorithms for parity games: (a) our first algorithm requires O(n^{c/2+1}) symbolic operations and only requires linear space; and (b) developing on our first algorithm, we present an algorithm that requires O(n^{c/3+1}) symbolic operations and only linear space. We also present the first linear space set-based symbolic algorithm for parity games that requires at most a sub-exponential number of symbolic operations. ","lang":"eng"}],"publication_status":"published","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","author":[{"last_name":"Chatterjee","first_name":"Krishnendu","orcid":"0000-0002-4561-241X","id":"2E5DCA20-F248-11E8-B48F-1D18A9856A87","full_name":"Chatterjee, Krishnendu"},{"full_name":"Dvorák, Wolfgang","last_name":"Dvorák","first_name":"Wolfgang"},{"first_name":"Monika H","last_name":"Henzinger","full_name":"Henzinger, Monika H","id":"540c9bbd-f2de-11ec-812d-d04a5be85630","orcid":"0000-0002-5008-6530"},{"full_name":"Loitzenbauer, Veronika","last_name":"Loitzenbauer","first_name":"Veronika"}],"volume":82,"has_accepted_license":"1","conference":{"name":"CSL: Conference on Computer Science Logic","start_date":"2017-08-20","location":"Stockholm, Sweden","end_date":"2017-08-24"},"ddc":["004"],"quality_controlled":"1","file":[{"file_id":"6520","access_level":"open_access","relation":"main_file","checksum":"7c2c9d09970af79026d7e37d9b632ef8","date_updated":"2020-07-14T12:47:33Z","file_size":710185,"date_created":"2019-06-04T12:56:52Z","file_name":"2017_LIPIcs-Chatterjee.pdf","content_type":"application/pdf","creator":"kschuh"}],"doi":"10.4230/LIPICS.CSL.2017.18","year":"2017","date_created":"2019-06-04T12:42:43Z","article_number":"18","language":[{"iso":"eng"}],"month":"08","date_published":"2017-08-01T00:00:00Z","department":[{"_id":"KrCh"}],"publisher":"Schloss Dagstuhl - Leibniz-Zentrum für Informatik","date_updated":"2025-05-14T10:53:47Z","oa":1,"file_date_updated":"2020-07-14T12:47:33Z","_id":"6519","scopus_import":"1","oa_version":"Published Version","intvolume":"        82","type":"conference","citation":{"chicago":"Chatterjee, Krishnendu, Wolfgang Dvorák, Monika Henzinger, and Veronika Loitzenbauer. “Improved Set-Based Symbolic Algorithms for Parity Games,” Vol. 82. Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2017. <a href=\"https://doi.org/10.4230/LIPICS.CSL.2017.18\">https://doi.org/10.4230/LIPICS.CSL.2017.18</a>.","apa":"Chatterjee, K., Dvorák, W., Henzinger, M., &#38; Loitzenbauer, V. (2017). Improved set-based symbolic algorithms for parity games (Vol. 82). Presented at the CSL: Conference on Computer Science Logic, Stockholm, Sweden: Schloss Dagstuhl - Leibniz-Zentrum für Informatik. <a href=\"https://doi.org/10.4230/LIPICS.CSL.2017.18\">https://doi.org/10.4230/LIPICS.CSL.2017.18</a>","mla":"Chatterjee, Krishnendu, et al. <i>Improved Set-Based Symbolic Algorithms for Parity Games</i>. Vol. 82, 18, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2017, doi:<a href=\"https://doi.org/10.4230/LIPICS.CSL.2017.18\">10.4230/LIPICS.CSL.2017.18</a>.","short":"K. Chatterjee, W. Dvorák, M. Henzinger, V. Loitzenbauer, in:, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2017.","ieee":"K. Chatterjee, W. Dvorák, M. Henzinger, and V. Loitzenbauer, “Improved set-based symbolic algorithms for parity games,” presented at the CSL: Conference on Computer Science Logic, Stockholm, Sweden, 2017, vol. 82.","ista":"Chatterjee K, Dvorák W, Henzinger M, Loitzenbauer V. 2017. Improved set-based symbolic algorithms for parity games. CSL: Conference on Computer Science Logic vol. 82, 18.","ama":"Chatterjee K, Dvorák W, Henzinger M, Loitzenbauer V. Improved set-based symbolic algorithms for parity games. In: Vol 82. Schloss Dagstuhl - Leibniz-Zentrum für Informatik; 2017. doi:<a href=\"https://doi.org/10.4230/LIPICS.CSL.2017.18\">10.4230/LIPICS.CSL.2017.18</a>"},"project":[{"name":"Rigorous Systems Engineering","call_identifier":"FWF","grant_number":"S 11407_N23","_id":"25832EC2-B435-11E9-9278-68D0E5697425"},{"grant_number":"279307","_id":"2581B60A-B435-11E9-9278-68D0E5697425","name":"Quantitative Graph Games: Theory and Applications","call_identifier":"FP7"},{"_id":"25892FC0-B435-11E9-9278-68D0E5697425","grant_number":"ICT15-003","name":"Efficient Algorithms for Computer Aided Verification"}],"day":"01","status":"public","ec_funded":1,"tmp":{"short":"CC BY (3.0)","image":"/images/cc_by.png","legal_code_url":"https://creativecommons.org/licenses/by/3.0/legalcode","name":"Creative Commons Attribution 3.0 Unported (CC BY 3.0)"}},{"article_type":"original","oa_version":"Submitted Version","intvolume":"        49","type":"journal_article","acknowledgement":"We thank the Memorial Sloan Kettering Cancer Center Molecular Cytology core facility for immunohistochemistry staining. This work was supported by Office of Naval Research grant N00014-16-1-2914, the Bill and Melinda Gates Foundation (OPP1148627), and a gift from B. Wu and E. Larson (M.A.N.), National Institutes of Health grants CA179991 (C.A.I.-D. and I.B.), F31 CA180682 (A.P.M.-M.), CA43460 (B.V.), and P50 CA62924, the Monastra Foundation, the Virginia and D.K. Ludwig Fund for Cancer Research, the Lustgarten Foundation for Pancreatic Cancer Research, the Sol Goldman Center for Pancreatic Cancer Research, the Sol Goldman Sequencing Center, ERC Start grant 279307: Graph Games (J.G.R., D.K., and C.K.), Austrian Science Fund (FWF) grant P23499-N23 (J.G.R., D.K., and C.K.), and FWF NFN grant S11407-N23 RiSE/SHiNE (J.G.R., D.K., and C.K.).","publist_id":"7092","_id":"653","scopus_import":"1","isi":1,"oa":1,"file_date_updated":"2020-07-14T12:47:33Z","month":"03","language":[{"iso":"eng"}],"date_published":"2017-03-01T00:00:00Z","publisher":"Nature Publishing Group","department":[{"_id":"KrCh"}],"date_updated":"2025-09-11T07:12:56Z","ec_funded":1,"day":"01","status":"public","citation":{"apa":"Makohon Moore, A., Zhang, M., Reiter, J., Božić, I., Allen, B., Kundu, D., … Iacobuzio Donahue, C. (2017). Limited heterogeneity of known driver gene mutations among the metastases of individual patients with pancreatic cancer. <i>Nature Genetics</i>. Nature Publishing Group. <a href=\"https://doi.org/10.1038/ng.3764\">https://doi.org/10.1038/ng.3764</a>","chicago":"Makohon Moore, Alvin, Ming Zhang, Johannes Reiter, Ivana Božić, Benjamin Allen, Deepanjan Kundu, Krishnendu Chatterjee, et al. “Limited Heterogeneity of Known Driver Gene Mutations among the Metastases of Individual Patients with Pancreatic Cancer.” <i>Nature Genetics</i>. Nature Publishing Group, 2017. <a href=\"https://doi.org/10.1038/ng.3764\">https://doi.org/10.1038/ng.3764</a>.","mla":"Makohon Moore, Alvin, et al. “Limited Heterogeneity of Known Driver Gene Mutations among the Metastases of Individual Patients with Pancreatic Cancer.” <i>Nature Genetics</i>, vol. 49, no. 3, Nature Publishing Group, 2017, pp. 358–66, doi:<a href=\"https://doi.org/10.1038/ng.3764\">10.1038/ng.3764</a>.","ieee":"A. Makohon Moore <i>et al.</i>, “Limited heterogeneity of known driver gene mutations among the metastases of individual patients with pancreatic cancer,” <i>Nature Genetics</i>, vol. 49, no. 3. Nature Publishing Group, pp. 358–366, 2017.","short":"A. Makohon Moore, M. Zhang, J. Reiter, I. Božić, B. Allen, D. Kundu, K. Chatterjee, F. Wong, Y. Jiao, Z. Kohutek, J. Hong, M. Attiyeh, B. Javier, L. Wood, R. Hruban, M. Nowak, N. Papadopoulos, K. Kinzler, B. Vogelstein, C. Iacobuzio Donahue, Nature Genetics 49 (2017) 358–366.","ista":"Makohon Moore A, Zhang M, Reiter J, Božić I, Allen B, Kundu D, Chatterjee K, Wong F, Jiao Y, Kohutek Z, Hong J, Attiyeh M, Javier B, Wood L, Hruban R, Nowak M, Papadopoulos N, Kinzler K, Vogelstein B, Iacobuzio Donahue C. 2017. Limited heterogeneity of known driver gene mutations among the metastases of individual patients with pancreatic cancer. Nature Genetics. 49(3), 358–366.","ama":"Makohon Moore A, Zhang M, Reiter J, et al. Limited heterogeneity of known driver gene mutations among the metastases of individual patients with pancreatic cancer. <i>Nature Genetics</i>. 2017;49(3):358-366. doi:<a href=\"https://doi.org/10.1038/ng.3764\">10.1038/ng.3764</a>"},"project":[{"call_identifier":"FP7","name":"Quantitative Graph Games: Theory and Applications","_id":"2581B60A-B435-11E9-9278-68D0E5697425","grant_number":"279307"},{"grant_number":"P 23499-N23","_id":"2584A770-B435-11E9-9278-68D0E5697425","name":"Modern Graph Algorithmic Techniques in Formal Verification","call_identifier":"FWF"},{"call_identifier":"FWF","name":"Game Theory","_id":"25863FF4-B435-11E9-9278-68D0E5697425","grant_number":"S11407"}],"user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","author":[{"first_name":"Alvin","last_name":"Makohon Moore","full_name":"Makohon Moore, Alvin"},{"full_name":"Zhang, Ming","first_name":"Ming","last_name":"Zhang"},{"first_name":"Johannes","last_name":"Reiter","id":"4A918E98-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-0170-7353","full_name":"Reiter, Johannes"},{"full_name":"Božić, Ivana","first_name":"Ivana","last_name":"Božić"},{"full_name":"Allen, Benjamin","first_name":"Benjamin","last_name":"Allen"},{"first_name":"Deepanjan","last_name":"Kundu","id":"1d4c0f4f-e8a3-11ec-a351-e36772758c45","full_name":"Kundu, Deepanjan"},{"full_name":"Chatterjee, Krishnendu","id":"2E5DCA20-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-4561-241X","last_name":"Chatterjee","first_name":"Krishnendu"},{"full_name":"Wong, Fay","first_name":"Fay","last_name":"Wong"},{"last_name":"Jiao","first_name":"Yuchen","full_name":"Jiao, Yuchen"},{"last_name":"Kohutek","first_name":"Zachary","full_name":"Kohutek, Zachary"},{"full_name":"Hong, Jungeui","last_name":"Hong","first_name":"Jungeui"},{"full_name":"Attiyeh, Marc","last_name":"Attiyeh","first_name":"Marc"},{"last_name":"Javier","first_name":"Breanna","full_name":"Javier, Breanna"},{"full_name":"Wood, Laura","first_name":"Laura","last_name":"Wood"},{"full_name":"Hruban, Ralph","first_name":"Ralph","last_name":"Hruban"},{"last_name":"Nowak","first_name":"Martin","full_name":"Nowak, Martin"},{"full_name":"Papadopoulos, Nickolas","first_name":"Nickolas","last_name":"Papadopoulos"},{"first_name":"Kenneth","last_name":"Kinzler","full_name":"Kinzler, Kenneth"},{"full_name":"Vogelstein, Bert","last_name":"Vogelstein","first_name":"Bert"},{"full_name":"Iacobuzio Donahue, Christine","first_name":"Christine","last_name":"Iacobuzio Donahue"}],"volume":49,"pmid":1,"page":"358 - 366","article_processing_charge":"No","abstract":[{"lang":"eng","text":"The extent of heterogeneity among driver gene mutations present in naturally occurring metastases - that is, treatment-naive metastatic disease - is largely unknown. To address this issue, we carried out 60× whole-genome sequencing of 26 metastases from four patients with pancreatic cancer. We found that identical mutations in known driver genes were present in every metastatic lesion for each patient studied. Passenger gene mutations, which do not have known or predicted functional consequences, accounted for all intratumoral heterogeneity. Even with respect to these passenger mutations, our analysis suggests that the genetic similarity among the founding cells of metastases was higher than that expected for any two cells randomly taken from a normal tissue. The uniformity of known driver gene mutations among metastases in the same patient has critical and encouraging implications for the success of future targeted therapies in advanced-stage disease."}],"external_id":{"isi":["000394917800009"],"pmid":["28092682"]},"publication_status":"published","title":"Limited heterogeneity of known driver gene mutations among the metastases of individual patients with pancreatic cancer","year":"2017","date_created":"2018-12-11T11:47:43Z","issue":"3","doi":"10.1038/ng.3764","publication_identifier":{"issn":["1061-4036"]},"publication":"Nature Genetics","quality_controlled":"1","file":[{"access_level":"open_access","relation":"main_file","checksum":"e442dc3b7420a36ec805e9bb45cc1a2e","date_updated":"2020-07-14T12:47:33Z","file_size":908099,"file_id":"7050","creator":"dernst","date_created":"2019-11-19T08:13:50Z","file_name":"2017_NatureGenetics_Makohon.pdf","content_type":"application/pdf"}],"has_accepted_license":"1","ddc":["000"]},{"issue":"18","publication_identifier":{"issn":["0027-8424"]},"doi":"10.1073/pnas.1621239114","publication":"PNAS","year":"2017","date_created":"2018-12-11T11:47:50Z","main_file_link":[{"url":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5422766/","open_access":"1"}],"ddc":["000"],"corr_author":"1","quality_controlled":"1","pmid":1,"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","author":[{"orcid":"0000-0001-5116-955X","id":"2FDF8F3C-F248-11E8-B48F-1D18A9856A87","full_name":"Hilbe, Christian","first_name":"Christian","last_name":"Hilbe"},{"last_name":"Martinez","first_name":"Vaquero","full_name":"Martinez, Vaquero"},{"id":"2E5DCA20-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-4561-241X","full_name":"Chatterjee, Krishnendu","first_name":"Krishnendu","last_name":"Chatterjee"},{"full_name":"Nowak, Martin","first_name":"Martin","last_name":"Nowak"}],"volume":114,"title":"Memory-n strategies of direct reciprocity","page":"4715 - 4720","article_processing_charge":"Yes (in subscription journal)","abstract":[{"text":"Humans routinely use conditionally cooperative strategies when interacting in repeated social dilemmas. They are more likely to cooperate if others cooperated before, and are ready to retaliate if others defected. To capture the emergence of reciprocity, most previous models consider subjects who can only choose from a restricted set of representative strategies, or who react to the outcome of the very last round only. As players memorize more rounds, the dimension of the strategy space increases exponentially. This increasing computational complexity renders simulations for individuals with higher cognitive abilities infeasible, especially if multiplayer interactions are taken into account. Here, we take an axiomatic approach instead. We propose several properties that a robust cooperative strategy for a repeated multiplayer dilemma should have. These properties naturally lead to a unique class of cooperative strategies, which contains the classical Win-Stay Lose-Shift rule as a special case. A comprehensive numerical analysis for the prisoner's dilemma and for the public goods game suggests that strategies of this class readily evolve across various memory-n spaces. Our results reveal that successful strategies depend not only on how cooperative others were in the past but also on the respective context of cooperation.","lang":"eng"}],"external_id":{"isi":["000400358000050"],"pmid":["28420786"]},"publication_status":"published","day":"02","status":"public","ec_funded":1,"citation":{"short":"C. Hilbe, V. Martinez, K. Chatterjee, M. Nowak, PNAS 114 (2017) 4715–4720.","ieee":"C. Hilbe, V. Martinez, K. Chatterjee, and M. Nowak, “Memory-n strategies of direct reciprocity,” <i>PNAS</i>, vol. 114, no. 18. National Academy of Sciences, pp. 4715–4720, 2017.","ista":"Hilbe C, Martinez V, Chatterjee K, Nowak M. 2017. Memory-n strategies of direct reciprocity. PNAS. 114(18), 4715–4720.","ama":"Hilbe C, Martinez V, Chatterjee K, Nowak M. Memory-n strategies of direct reciprocity. <i>PNAS</i>. 2017;114(18):4715-4720. doi:<a href=\"https://doi.org/10.1073/pnas.1621239114\">10.1073/pnas.1621239114</a>","apa":"Hilbe, C., Martinez, V., Chatterjee, K., &#38; Nowak, M. (2017). Memory-n strategies of direct reciprocity. <i>PNAS</i>. National Academy of Sciences. <a href=\"https://doi.org/10.1073/pnas.1621239114\">https://doi.org/10.1073/pnas.1621239114</a>","chicago":"Hilbe, Christian, Vaquero Martinez, Krishnendu Chatterjee, and Martin Nowak. “Memory-n Strategies of Direct Reciprocity.” <i>PNAS</i>. National Academy of Sciences, 2017. <a href=\"https://doi.org/10.1073/pnas.1621239114\">https://doi.org/10.1073/pnas.1621239114</a>.","mla":"Hilbe, Christian, et al. “Memory-n Strategies of Direct Reciprocity.” <i>PNAS</i>, vol. 114, no. 18, National Academy of Sciences, 2017, pp. 4715–20, doi:<a href=\"https://doi.org/10.1073/pnas.1621239114\">10.1073/pnas.1621239114</a>."},"project":[{"name":"Quantitative Graph Games: Theory and Applications","call_identifier":"FP7","grant_number":"279307","_id":"2581B60A-B435-11E9-9278-68D0E5697425"},{"grant_number":"P 23499-N23","_id":"2584A770-B435-11E9-9278-68D0E5697425","name":"Modern Graph Algorithmic Techniques in Formal Verification","call_identifier":"FWF"},{"call_identifier":"FWF","name":"Game Theory","_id":"25863FF4-B435-11E9-9278-68D0E5697425","grant_number":"S11407"}],"publist_id":"7053","_id":"671","scopus_import":"1","intvolume":"       114","oa_version":"Published Version","type":"journal_article","language":[{"iso":"eng"}],"month":"05","date_published":"2017-05-02T00:00:00Z","department":[{"_id":"KrCh"}],"publisher":"National Academy of Sciences","date_updated":"2026-06-18T19:11:14Z","isi":1,"oa":1},{"corr_author":"1","quality_controlled":"1","main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/1311.3238"}],"year":"2017","date_created":"2018-12-11T11:47:53Z","publication_identifier":{"issn":["0890-5401"]},"doi":"10.1016/j.ic.2016.10.012","publication":"Information and Computation","page":"296 - 315","article_processing_charge":"No","abstract":[{"text":"Two-player games on graphs provide the theoretical framework for many important problems such as reactive synthesis. While the traditional study of two-player zero-sum games has been extended to multi-player games with several notions of equilibria, they are decidable only for perfect-information games, whereas several applications require imperfect-information. In this paper we propose a new notion of equilibria, called doomsday equilibria, which is a strategy profile where all players satisfy their own objective, and if any coalition of players deviates and violates even one of the players' objective, then the objective of every player is violated. We present algorithms and complexity results for deciding the existence of doomsday equilibria for various classes of ω-regular objectives, both for imperfect-information games, and for perfect-information games. We provide optimal complexity bounds for imperfect-information games, and in most cases for perfect-information games.","lang":"eng"}],"publication_status":"published","external_id":{"arxiv":["1311.3238"],"isi":["000402025600008"]},"title":"Doomsday equilibria for omega-regular games","user_id":"ba8df636-2132-11f1-aed0-ed93e2281fdd","author":[{"last_name":"Chatterjee","first_name":"Krishnendu","id":"2E5DCA20-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-4561-241X","full_name":"Chatterjee, Krishnendu"},{"full_name":"Doyen, Laurent","first_name":"Laurent","last_name":"Doyen"},{"last_name":"Filiot","first_name":"Emmanuel","full_name":"Filiot, Emmanuel"},{"last_name":"Raskin","first_name":"Jean","full_name":"Raskin, Jean"}],"volume":254,"related_material":{"record":[{"status":"public","relation":"earlier_version","id":"10885"}]},"citation":{"apa":"Chatterjee, K., Doyen, L., Filiot, E., &#38; Raskin, J. (2017). Doomsday equilibria for omega-regular games. <i>Information and Computation</i>. Elsevier. <a href=\"https://doi.org/10.1016/j.ic.2016.10.012\">https://doi.org/10.1016/j.ic.2016.10.012</a>","chicago":"Chatterjee, Krishnendu, Laurent Doyen, Emmanuel Filiot, and Jean Raskin. “Doomsday Equilibria for Omega-Regular Games.” <i>Information and Computation</i>. Elsevier, 2017. <a href=\"https://doi.org/10.1016/j.ic.2016.10.012\">https://doi.org/10.1016/j.ic.2016.10.012</a>.","mla":"Chatterjee, Krishnendu, et al. “Doomsday Equilibria for Omega-Regular Games.” <i>Information and Computation</i>, vol. 254, Elsevier, 2017, pp. 296–315, doi:<a href=\"https://doi.org/10.1016/j.ic.2016.10.012\">10.1016/j.ic.2016.10.012</a>.","short":"K. Chatterjee, L. Doyen, E. Filiot, J. Raskin, Information and Computation 254 (2017) 296–315.","ieee":"K. Chatterjee, L. Doyen, E. Filiot, and J. Raskin, “Doomsday equilibria for omega-regular games,” <i>Information and Computation</i>, vol. 254. Elsevier, pp. 296–315, 2017.","ama":"Chatterjee K, Doyen L, Filiot E, Raskin J. Doomsday equilibria for omega-regular games. <i>Information and Computation</i>. 2017;254:296-315. doi:<a href=\"https://doi.org/10.1016/j.ic.2016.10.012\">10.1016/j.ic.2016.10.012</a>","ista":"Chatterjee K, Doyen L, Filiot E, Raskin J. 2017. Doomsday equilibria for omega-regular games. Information and Computation. 254, 296–315."},"project":[{"call_identifier":"FWF","name":"Modern Graph Algorithmic Techniques in Formal Verification","_id":"2584A770-B435-11E9-9278-68D0E5697425","grant_number":"P 23499-N23"},{"name":"Game Theory","call_identifier":"FWF","grant_number":"S11407","_id":"25863FF4-B435-11E9-9278-68D0E5697425"},{"name":"Quantitative Graph Games: Theory and Applications","call_identifier":"FP7","grant_number":"279307","_id":"2581B60A-B435-11E9-9278-68D0E5697425"},{"_id":"25681D80-B435-11E9-9278-68D0E5697425","grant_number":"291734","call_identifier":"FP7","name":"International IST Postdoc Fellowship Programme"}],"ec_funded":1,"status":"public","day":"01","isi":1,"oa":1,"month":"06","language":[{"iso":"eng"}],"date_published":"2017-06-01T00:00:00Z","arxiv":1,"publisher":"Elsevier","department":[{"_id":"KrCh"}],"date_updated":"2026-04-16T10:00:03Z","article_type":"original","intvolume":"       254","oa_version":"Submitted Version","type":"journal_article","publist_id":"7036","_id":"681","scopus_import":"1"},{"year":"2017","date_created":"2018-12-11T11:47:54Z","issue":"2","publication_identifier":{"eissn":["1943-5886"],"issn":["0022-4812"]},"doi":"10.1017/jsl.2016.71","publication":"Journal of Symbolic Logic","corr_author":"1","quality_controlled":"1","main_file_link":[{"url":"https://arxiv.org/abs/1206.5174","open_access":"1"}],"user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","author":[{"orcid":"0000-0002-4561-241X","id":"2E5DCA20-F248-11E8-B48F-1D18A9856A87","full_name":"Chatterjee, Krishnendu","last_name":"Chatterjee","first_name":"Krishnendu"},{"last_name":"Piterman","first_name":"Nir","full_name":"Piterman, Nir"}],"volume":82,"page":"420 - 452","article_processing_charge":"No","abstract":[{"lang":"eng","text":"We generalize winning conditions in two-player games by adding a structural acceptance condition called obligations. Obligations are orthogonal to the linear winning conditions that define whether a play is winning. Obligations are a declaration that player 0 can achieve a certain value from a configuration. If the obligation is met, the value of that configuration for player 0 is 1. We define the value in such games and show that obligation games are determined. For Markov chains with Borel objectives and obligations, and finite turn-based stochastic parity games with obligations we give an alternative and simpler characterization of the value function. Based on this simpler definition we show that the decision problem of winning finite turn-based stochastic parity games with obligations is in NP∩co-NP. We also show that obligation games provide a game framework for reasoning about p-automata. © 2017 The Association for Symbolic Logic."}],"publication_status":"published","external_id":{"isi":["000403796700002"],"arxiv":["1206.5174"]},"title":"Obligation blackwell games and p-automata","day":"01","status":"public","citation":{"ista":"Chatterjee K, Piterman N. 2017. Obligation blackwell games and p-automata. Journal of Symbolic Logic. 82(2), 420–452.","ama":"Chatterjee K, Piterman N. Obligation blackwell games and p-automata. <i>Journal of Symbolic Logic</i>. 2017;82(2):420-452. doi:<a href=\"https://doi.org/10.1017/jsl.2016.71\">10.1017/jsl.2016.71</a>","short":"K. Chatterjee, N. Piterman, Journal of Symbolic Logic 82 (2017) 420–452.","ieee":"K. Chatterjee and N. Piterman, “Obligation blackwell games and p-automata,” <i>Journal of Symbolic Logic</i>, vol. 82, no. 2. Cambridge University Press, pp. 420–452, 2017.","mla":"Chatterjee, Krishnendu, and Nir Piterman. “Obligation Blackwell Games and P-Automata.” <i>Journal of Symbolic Logic</i>, vol. 82, no. 2, Cambridge University Press, 2017, pp. 420–52, doi:<a href=\"https://doi.org/10.1017/jsl.2016.71\">10.1017/jsl.2016.71</a>.","chicago":"Chatterjee, Krishnendu, and Nir Piterman. “Obligation Blackwell Games and P-Automata.” <i>Journal of Symbolic Logic</i>. Cambridge University Press, 2017. <a href=\"https://doi.org/10.1017/jsl.2016.71\">https://doi.org/10.1017/jsl.2016.71</a>.","apa":"Chatterjee, K., &#38; Piterman, N. (2017). Obligation blackwell games and p-automata. <i>Journal of Symbolic Logic</i>. Cambridge University Press. <a href=\"https://doi.org/10.1017/jsl.2016.71\">https://doi.org/10.1017/jsl.2016.71</a>"},"oa_version":"Submitted Version","intvolume":"        82","type":"journal_article","publist_id":"7026","_id":"684","scopus_import":"1","isi":1,"oa":1,"language":[{"iso":"eng"}],"month":"06","date_published":"2017-06-01T00:00:00Z","department":[{"_id":"KrCh"}],"arxiv":1,"publisher":"Cambridge University Press","date_updated":"2025-09-10T14:18:30Z"},{"date_created":"2018-12-11T11:48:00Z","year":"2017","doi":"10.1073/pnas.1702020114","publication_identifier":{"issn":["0027-8424"]},"issue":"27","publication":"PNAS","quality_controlled":"1","main_file_link":[{"open_access":"1","url":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5502615/"}],"user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","author":[{"full_name":"Veller, Carl","last_name":"Veller","first_name":"Carl"},{"full_name":"Hayward, Laura","last_name":"Hayward","first_name":"Laura"},{"first_name":"Martin","last_name":"Nowak","full_name":"Nowak, Martin"},{"first_name":"Christian","last_name":"Hilbe","full_name":"Hilbe, Christian","orcid":"0000-0001-5116-955X","id":"2FDF8F3C-F248-11E8-B48F-1D18A9856A87"}],"volume":114,"pmid":1,"article_processing_charge":"No","page":"E5396 - E5405","publication_status":"published","external_id":{"pmid":["28630336"],"isi":["000404576100017"]},"abstract":[{"lang":"eng","text":"In antagonistic symbioses, such as host–parasite interactions, one population’s success is the other’s loss. In mutualistic symbioses, such as division of labor, both parties can gain, but they might have different preferences over the possible mutualistic arrangements. The rates of evolution of the two populations in a symbiosis are important determinants of which population will be more successful: Faster evolution is thought to be favored in antagonistic symbioses (the “Red Queen effect”), but disfavored in certain mutualistic symbioses (the “Red King effect”). However, it remains unclear which biological parameters drive these effects. Here, we analyze the effects of the various determinants of evolutionary rate: generation time, mutation rate, population size, and the intensity of natural selection. Our main results hold for the case where mutation is infrequent. Slower evolution causes a long-term advantage in an important class of mutualistic interactions. Surprisingly, less intense selection is the strongest driver of this Red King effect, whereas relative mutation rates and generation times have little effect. In antagonistic interactions, faster evolution by any means is beneficial. Our results provide insight into the demographic evolution of symbionts. "}],"title":"The red queen and king in finite populations","status":"public","day":"03","citation":{"mla":"Veller, Carl, et al. “The Red Queen and King in Finite Populations.” <i>PNAS</i>, vol. 114, no. 27, National Academy of Sciences, 2017, pp. E5396–405, doi:<a href=\"https://doi.org/10.1073/pnas.1702020114\">10.1073/pnas.1702020114</a>.","apa":"Veller, C., Hayward, L., Nowak, M., &#38; Hilbe, C. (2017). The red queen and king in finite populations. <i>PNAS</i>. National Academy of Sciences. <a href=\"https://doi.org/10.1073/pnas.1702020114\">https://doi.org/10.1073/pnas.1702020114</a>","chicago":"Veller, Carl, Laura Hayward, Martin Nowak, and Christian Hilbe. “The Red Queen and King in Finite Populations.” <i>PNAS</i>. National Academy of Sciences, 2017. <a href=\"https://doi.org/10.1073/pnas.1702020114\">https://doi.org/10.1073/pnas.1702020114</a>.","ista":"Veller C, Hayward L, Nowak M, Hilbe C. 2017. The red queen and king in finite populations. PNAS. 114(27), E5396–E5405.","ama":"Veller C, Hayward L, Nowak M, Hilbe C. The red queen and king in finite populations. <i>PNAS</i>. 2017;114(27):E5396-E5405. doi:<a href=\"https://doi.org/10.1073/pnas.1702020114\">10.1073/pnas.1702020114</a>","ieee":"C. Veller, L. Hayward, M. Nowak, and C. Hilbe, “The red queen and king in finite populations,” <i>PNAS</i>, vol. 114, no. 27. National Academy of Sciences, pp. E5396–E5405, 2017.","short":"C. Veller, L. Hayward, M. Nowak, C. Hilbe, PNAS 114 (2017) E5396–E5405."},"intvolume":"       114","oa_version":"Submitted Version","type":"journal_article","publist_id":"7002","scopus_import":"1","_id":"699","isi":1,"oa":1,"date_published":"2017-07-03T00:00:00Z","month":"07","language":[{"iso":"eng"}],"date_updated":"2025-09-10T11:11:07Z","department":[{"_id":"KrCh"}],"publisher":"National Academy of Sciences"},{"language":[{"iso":"eng"}],"month":"08","date_published":"2017-08-01T00:00:00Z","department":[{"_id":"KrCh"},{"_id":"ToHe"}],"publisher":"Schloss Dagstuhl - Leibniz-Zentrum für Informatik","date_updated":"2025-07-10T11:54:15Z","oa":1,"file_date_updated":"2020-07-14T12:47:49Z","publist_id":"6976","_id":"711","scopus_import":"1","oa_version":"Published Version","intvolume":"        85","type":"conference","citation":{"ista":"Chatterjee K, Henzinger TA, Otop J. 2017. Bidirectional nested weighted automata. 28th International Conference on Concurrency Theory, CONCUR, LIPIcs, vol. 85, 5.","ama":"Chatterjee K, Henzinger TA, Otop J. Bidirectional nested weighted automata. In: Vol 85. Schloss Dagstuhl - Leibniz-Zentrum für Informatik; 2017. doi:<a href=\"https://doi.org/10.4230/LIPIcs.CONCUR.2017.5\">10.4230/LIPIcs.CONCUR.2017.5</a>","short":"K. Chatterjee, T.A. Henzinger, J. Otop, in:, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2017.","ieee":"K. Chatterjee, T. A. Henzinger, and J. Otop, “Bidirectional nested weighted automata,” presented at the 28th International Conference on Concurrency Theory, CONCUR, Berlin, Germany, 2017, vol. 85.","mla":"Chatterjee, Krishnendu, et al. <i>Bidirectional Nested Weighted Automata</i>. Vol. 85, 5, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2017, doi:<a href=\"https://doi.org/10.4230/LIPIcs.CONCUR.2017.5\">10.4230/LIPIcs.CONCUR.2017.5</a>.","apa":"Chatterjee, K., Henzinger, T. A., &#38; Otop, J. (2017). Bidirectional nested weighted automata (Vol. 85). Presented at the 28th International Conference on Concurrency Theory, CONCUR, Berlin, Germany: Schloss Dagstuhl - Leibniz-Zentrum für Informatik. <a href=\"https://doi.org/10.4230/LIPIcs.CONCUR.2017.5\">https://doi.org/10.4230/LIPIcs.CONCUR.2017.5</a>","chicago":"Chatterjee, Krishnendu, Thomas A Henzinger, and Jan Otop. “Bidirectional Nested Weighted Automata,” Vol. 85. Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2017. <a href=\"https://doi.org/10.4230/LIPIcs.CONCUR.2017.5\">https://doi.org/10.4230/LIPIcs.CONCUR.2017.5</a>."},"alternative_title":["LIPIcs"],"pubrep_id":"886","day":"01","status":"public","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)"},"title":"Bidirectional nested weighted automata","article_processing_charge":"No","abstract":[{"text":"Nested weighted automata (NWA) present a robust and convenient automata-theoretic formalism for quantitative specifications. Previous works have considered NWA that processed input words only in the forward direction. It is natural to allow the automata to process input words backwards as well, for example, to measure the maximal or average time between a response and the preceding request. We therefore introduce and study bidirectional NWA that can process input words in both directions. First, we show that bidirectional NWA can express interesting quantitative properties that are not expressible by forward-only NWA. Second, for the fundamental decision problems of emptiness and universality, we establish decidability and complexity results for the new framework which match the best-known results for the special case of forward-only NWA. Thus, for NWA, the increased expressiveness of bidirectionality is achieved at no additional computational complexity. This is in stark contrast to the unweighted case, where bidirectional finite automata are no more expressive but exponentially more succinct than their forward-only counterparts.","lang":"eng"}],"publication_status":"published","author":[{"full_name":"Chatterjee, Krishnendu","orcid":"0000-0002-4561-241X","id":"2E5DCA20-F248-11E8-B48F-1D18A9856A87","first_name":"Krishnendu","last_name":"Chatterjee"},{"last_name":"Henzinger","first_name":"Thomas A","full_name":"Henzinger, Thomas A","orcid":"0000−0002−2985−7724","id":"40876CD8-F248-11E8-B48F-1D18A9856A87"},{"id":"2FC5DA74-F248-11E8-B48F-1D18A9856A87","full_name":"Otop, Jan","first_name":"Jan","last_name":"Otop"}],"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","volume":85,"has_accepted_license":"1","conference":{"location":"Berlin, Germany","end_date":"2017-09-08","start_date":"2017-09-05","name":"28th International Conference on Concurrency Theory, CONCUR"},"ddc":["004","005"],"corr_author":"1","quality_controlled":"1","file":[{"creator":"system","date_created":"2018-12-12T10:08:02Z","file_name":"IST-2017-886-v1+1_LIPIcs-CONCUR-2017-5.pdf","content_type":"application/pdf","access_level":"open_access","checksum":"d2bda4783821a6358333fe27f11f4737","relation":"main_file","date_updated":"2020-07-14T12:47:49Z","file_size":570294,"file_id":"4661"}],"publication_identifier":{"issn":["1868-8969"]},"doi":"10.4230/LIPIcs.CONCUR.2017.5","year":"2017","date_created":"2018-12-11T11:48:04Z","article_number":"5"},{"citation":{"ieee":"K. Chatterjee and Y. Velner, “The complexity of mean-payoff pushdown games,” <i>Journal of the ACM</i>, vol. 64, no. 5. ACM, p. 34, 2017.","short":"K. Chatterjee, Y. Velner, Journal of the ACM 64 (2017) 34.","ista":"Chatterjee K, Velner Y. 2017. The complexity of mean-payoff pushdown games. Journal of the ACM. 64(5), 34.","ama":"Chatterjee K, Velner Y. The complexity of mean-payoff pushdown games. <i>Journal of the ACM</i>. 2017;64(5):34. doi:<a href=\"https://doi.org/10.1145/3121408\">10.1145/3121408</a>","apa":"Chatterjee, K., &#38; Velner, Y. (2017). The complexity of mean-payoff pushdown games. <i>Journal of the ACM</i>. ACM. <a href=\"https://doi.org/10.1145/3121408\">https://doi.org/10.1145/3121408</a>","chicago":"Chatterjee, Krishnendu, and Yaron Velner. “The Complexity of Mean-Payoff Pushdown Games.” <i>Journal of the ACM</i>. ACM, 2017. <a href=\"https://doi.org/10.1145/3121408\">https://doi.org/10.1145/3121408</a>.","mla":"Chatterjee, Krishnendu, and Yaron Velner. “The Complexity of Mean-Payoff Pushdown Games.” <i>Journal of the ACM</i>, vol. 64, no. 5, ACM, 2017, p. 34, doi:<a href=\"https://doi.org/10.1145/3121408\">10.1145/3121408</a>."},"project":[{"name":"Modern Graph Algorithmic Techniques in Formal Verification","call_identifier":"FWF","grant_number":"P 23499-N23","_id":"2584A770-B435-11E9-9278-68D0E5697425"},{"name":"Game Theory","call_identifier":"FWF","grant_number":"S11407","_id":"25863FF4-B435-11E9-9278-68D0E5697425"},{"_id":"2581B60A-B435-11E9-9278-68D0E5697425","grant_number":"279307","call_identifier":"FP7","name":"Quantitative Graph Games: Theory and Applications"}],"ec_funded":1,"status":"public","day":"01","isi":1,"oa":1,"date_published":"2017-09-01T00:00:00Z","language":[{"iso":"eng"}],"month":"09","date_updated":"2025-09-10T11:01:10Z","publisher":"ACM","arxiv":1,"department":[{"_id":"KrCh"}],"intvolume":"        64","oa_version":"Preprint","article_type":"original","type":"journal_article","publist_id":"6964","scopus_import":"1","_id":"716","corr_author":"1","quality_controlled":"1","main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/1201.2829"}],"date_created":"2018-12-11T11:48:06Z","year":"2017","doi":"10.1145/3121408","publication_identifier":{"issn":["0004-5411"]},"issue":"5","publication":"Journal of the ACM","article_processing_charge":"No","page":"34","publication_status":"published","external_id":{"arxiv":["1201.2829"],"isi":["000443590400005"]},"abstract":[{"lang":"eng","text":"Two-player games on graphs are central in many problems in formal verification and program analysis, such as synthesis and verification of open systems. In this work, we consider solving recursive game graphs (or pushdown game graphs) that model the control flow of sequential programs with recursion.While pushdown games have been studied before with qualitative objectives-such as reachability and ?-regular objectives- in this work, we study for the first time such games with the most well-studied quantitative objective, the mean-payoff objective. In pushdown games, two types of strategies are relevant: (1) global strategies, which depend on the entire global history; and (2) modular strategies, which have only local memory and thus do not depend on the context of invocation but rather only on the history of the current invocation of the module. Our main results are as follows: (1) One-player pushdown games with mean-payoff objectives under global strategies are decidable in polynomial time. (2) Two-player pushdown games with mean-payoff objectives under global strategies are undecidable. (3) One-player pushdown games with mean-payoff objectives under modular strategies are NP-hard. (4) Two-player pushdown games with mean-payoff objectives under modular strategies can be solved in NP (i.e., both one-player and two-player pushdown games with mean-payoff objectives under modular strategies are NP-complete). We also establish the optimal strategy complexity by showing that global strategies for mean-payoff objectives require infinite memory even in one-player pushdown games and memoryless modular strategies are sufficient in two-player pushdown games. Finally, we also show that all the problems have the same complexity if the stack boundedness condition is added, where along with the mean-payoff objective the player must also ensure that the stack height is bounded."}],"title":"The complexity of mean-payoff pushdown games","author":[{"first_name":"Krishnendu","last_name":"Chatterjee","full_name":"Chatterjee, Krishnendu","id":"2E5DCA20-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-4561-241X"},{"first_name":"Yaron","last_name":"Velner","full_name":"Velner, Yaron"}],"user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","volume":64},{"citation":{"mla":"Chatterjee, Krishnendu, and Yaron Velner. “Hyperplane Separation Technique for Multidimensional Mean-Payoff Games.” <i>Journal of Computer and System Sciences</i>, vol. 88, Academic Press, 2017, pp. 236–59, doi:<a href=\"https://doi.org/10.1016/j.jcss.2017.04.005\">10.1016/j.jcss.2017.04.005</a>.","chicago":"Chatterjee, Krishnendu, and Yaron Velner. “Hyperplane Separation Technique for Multidimensional Mean-Payoff Games.” <i>Journal of Computer and System Sciences</i>. Academic Press, 2017. <a href=\"https://doi.org/10.1016/j.jcss.2017.04.005\">https://doi.org/10.1016/j.jcss.2017.04.005</a>.","apa":"Chatterjee, K., &#38; Velner, Y. (2017). Hyperplane separation technique for multidimensional mean-payoff games. <i>Journal of Computer and System Sciences</i>. Academic Press. <a href=\"https://doi.org/10.1016/j.jcss.2017.04.005\">https://doi.org/10.1016/j.jcss.2017.04.005</a>","ista":"Chatterjee K, Velner Y. 2017. Hyperplane separation technique for multidimensional mean-payoff games. Journal of Computer and System Sciences. 88, 236–259.","ama":"Chatterjee K, Velner Y. Hyperplane separation technique for multidimensional mean-payoff games. <i>Journal of Computer and System Sciences</i>. 2017;88:236-259. doi:<a href=\"https://doi.org/10.1016/j.jcss.2017.04.005\">10.1016/j.jcss.2017.04.005</a>","short":"K. Chatterjee, Y. Velner, Journal of Computer and System Sciences 88 (2017) 236–259.","ieee":"K. Chatterjee and Y. Velner, “Hyperplane separation technique for multidimensional mean-payoff games,” <i>Journal of Computer and System Sciences</i>, vol. 88. Academic Press, pp. 236–259, 2017."},"project":[{"name":"Modern Graph Algorithmic Techniques in Formal Verification","call_identifier":"FWF","grant_number":"P 23499-N23","_id":"2584A770-B435-11E9-9278-68D0E5697425"},{"grant_number":"S11407","_id":"25863FF4-B435-11E9-9278-68D0E5697425","name":"Game Theory","call_identifier":"FWF"},{"grant_number":"279307","_id":"2581B60A-B435-11E9-9278-68D0E5697425","name":"Quantitative Graph Games: Theory and Applications","call_identifier":"FP7"},{"name":"Microsoft Research Faculty Fellowship","_id":"2587B514-B435-11E9-9278-68D0E5697425"}],"day":"01","status":"public","ec_funded":1,"date_published":"2017-09-01T00:00:00Z","month":"09","language":[{"iso":"eng"}],"date_updated":"2025-09-10T11:00:30Z","arxiv":1,"publisher":"Academic Press","department":[{"_id":"KrCh"}],"isi":1,"oa":1,"publist_id":"6963","scopus_import":"1","_id":"717","intvolume":"        88","oa_version":"Preprint","acknowledgement":"The research was supported by Austrian Science Fund (FWF) Grant No. P 23499-N23, FWF NFN Grant No. S11407-N23 (RiSE), ERC Start grant (279307: Graph Games), Microsoft faculty fellows award, the RICH Model Toolkit (ICT COST Action IC0901), and was carried out in partial fulfillment of the requirements for the Ph.D. degree of the second author.","type":"journal_article","main_file_link":[{"url":"https://arxiv.org/abs/1210.3141","open_access":"1"}],"quality_controlled":"1","doi":"10.1016/j.jcss.2017.04.005","publication":"Journal of Computer and System Sciences","date_created":"2018-12-11T11:48:07Z","year":"2017","title":"Hyperplane separation technique for multidimensional mean-payoff games","article_processing_charge":"No","page":"236 - 259","external_id":{"arxiv":["1210.3141"],"isi":["000403857100014"]},"publication_status":"published","abstract":[{"lang":"eng","text":"We consider finite-state and recursive game graphs with multidimensional mean-payoff objectives. In recursive games two types of strategies are relevant: global strategies and modular strategies. Our contributions are: (1) We show that finite-state multidimensional mean-payoff games can be solved in polynomial time if the number of dimensions and the maximal absolute value of weights are fixed; whereas for arbitrary dimensions the problem is coNP-complete. (2) We show that one-player recursive games with multidimensional mean-payoff objectives can be solved in polynomial time. Both above algorithms are based on hyperplane separation technique. (3) For recursive games we show that under modular strategies the multidimensional problem is undecidable. We show that if the number of modules, exits, and the maximal absolute value of the weights are fixed, then one-dimensional recursive mean-payoff games under modular strategies can be solved in polynomial time, whereas for unbounded number of exits or modules the problem is NP-hard."}],"related_material":{"record":[{"status":"public","id":"2329","relation":"earlier_version"}]},"author":[{"last_name":"Chatterjee","first_name":"Krishnendu","orcid":"0000-0002-4561-241X","id":"2E5DCA20-F248-11E8-B48F-1D18A9856A87","full_name":"Chatterjee, Krishnendu"},{"first_name":"Yaron","last_name":"Velner","full_name":"Velner, Yaron"}],"user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","volume":88},{"author":[{"last_name":"Chatterjee","first_name":"Krishnendu","id":"2E5DCA20-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-4561-241X","full_name":"Chatterjee, Krishnendu"},{"full_name":"Ehlers, Rüdiger","first_name":"Rüdiger","last_name":"Ehlers"}],"user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","volume":54,"article_processing_charge":"No","page":"543 - 544","publication_status":"published","external_id":{"isi":["000407713300001"]},"abstract":[{"text":"The ubiquity of computation in modern machines and devices imposes a need to assert the correctness of their behavior. Especially in the case of safety-critical systems, their designers need to take measures that enforce their safe operation. Formal methods has emerged as a research field that addresses this challenge: by rigorously proving that all system executions adhere to their specifications, the correctness of an implementation under concern can be assured. To achieve this goal, a plethora of techniques are nowadays available, all of which are optimized for different system types and application domains.","lang":"eng"}],"title":"Special issue: Synthesis and SYNT 2014","date_created":"2018-12-11T11:48:07Z","year":"2017","doi":"10.1007/s00236-017-0299-0","publication_identifier":{"issn":["0001-5903"]},"issue":"6","publication":"Acta Informatica","corr_author":"1","quality_controlled":"1","intvolume":"        54","oa_version":"None","type":"journal_article","publist_id":"6961","scopus_import":"1","_id":"719","isi":1,"date_published":"2017-09-01T00:00:00Z","language":[{"iso":"eng"}],"month":"09","date_updated":"2025-09-10T10:59:19Z","publisher":"Springer","department":[{"_id":"KrCh"}],"day":"01","status":"public","citation":{"chicago":"Chatterjee, Krishnendu, and Rüdiger Ehlers. “Special Issue: Synthesis and SYNT 2014.” <i>Acta Informatica</i>. Springer, 2017. <a href=\"https://doi.org/10.1007/s00236-017-0299-0\">https://doi.org/10.1007/s00236-017-0299-0</a>.","apa":"Chatterjee, K., &#38; Ehlers, R. (2017). Special issue: Synthesis and SYNT 2014. <i>Acta Informatica</i>. Springer. <a href=\"https://doi.org/10.1007/s00236-017-0299-0\">https://doi.org/10.1007/s00236-017-0299-0</a>","mla":"Chatterjee, Krishnendu, and Rüdiger Ehlers. “Special Issue: Synthesis and SYNT 2014.” <i>Acta Informatica</i>, vol. 54, no. 6, Springer, 2017, pp. 543–44, doi:<a href=\"https://doi.org/10.1007/s00236-017-0299-0\">10.1007/s00236-017-0299-0</a>.","ieee":"K. Chatterjee and R. Ehlers, “Special issue: Synthesis and SYNT 2014,” <i>Acta Informatica</i>, vol. 54, no. 6. Springer, pp. 543–544, 2017.","short":"K. Chatterjee, R. Ehlers, Acta Informatica 54 (2017) 543–544.","ista":"Chatterjee K, Ehlers R. 2017. Special issue: Synthesis and SYNT 2014. Acta Informatica. 54(6), 543–544.","ama":"Chatterjee K, Ehlers R. Special issue: Synthesis and SYNT 2014. <i>Acta Informatica</i>. 2017;54(6):543-544. doi:<a href=\"https://doi.org/10.1007/s00236-017-0299-0\">10.1007/s00236-017-0299-0</a>"}},{"article_number":"15","year":"2017","date_created":"2018-12-11T11:46:38Z","publication":"Logical Methods in Computer Science","das_tickbox":"1","issue":"2","publication_identifier":{"issn":["1860-5974"]},"doi":"10.23638/LMCS-13(2:15)2017","file":[{"creator":"system","date_created":"2018-12-12T10:18:32Z","content_type":"application/pdf","file_name":"IST-2018-957-v1+1_2017_Chatterjee_Unifying_two.pdf","checksum":"bfa405385ec6229ad5ead89ab5751639","relation":"main_file","access_level":"open_access","date_updated":"2020-07-14T12:46:33Z","file_size":511832,"file_id":"5354"}],"quality_controlled":"1","corr_author":"1","ddc":["004"],"has_accepted_license":"1","volume":13,"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","author":[{"first_name":"Krishnendu","last_name":"Chatterjee","full_name":"Chatterjee, Krishnendu","id":"2E5DCA20-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-4561-241X"},{"first_name":"Zuzana","last_name":"Křetínská","full_name":"Křetínská, Zuzana"},{"first_name":"Jan","last_name":"Kretinsky","id":"44CEF464-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-8122-2881","full_name":"Kretinsky, Jan"}],"related_material":{"record":[{"status":"public","id":"5429","relation":"earlier_version"},{"status":"public","relation":"earlier_version","id":"5435"},{"status":"public","id":"1657","relation":"earlier_version"}]},"abstract":[{"lang":"eng","text":"We consider Markov decision processes (MDPs) with multiple limit-average (or mean-payoff) objectives. There exist two different views: (i) the expectation semantics, where the goal is to optimize the expected mean-payoff objective, and (ii) the satisfaction semantics, where the goal is to maximize the probability of runs such that the mean-payoff value stays above a given vector. We consider optimization with respect to both objectives at once, thus unifying the existing semantics. Precisely, the goal is to optimize the expectation while ensuring the satisfaction constraint. Our problem captures the notion of optimization with respect to strategies that are risk-averse (i.e., ensure certain probabilistic guarantee). Our main results are as follows: First, we present algorithms for the decision problems which are always polynomial in the size of the MDP. We also show that an approximation of the Pareto-curve can be computed in time polynomial in the size of the MDP, and the approximation factor, but exponential in the number of dimensions. Second, we present a complete characterization of the strategy complexity (in terms of memory bounds and randomization) required to solve our problem. "}],"publication_status":"published","external_id":{"isi":["000419160800002"]},"article_processing_charge":"No","title":"Unifying two views on multiple mean-payoff objectives in Markov decision processes","ec_funded":1,"tmp":{"short":"CC BY-ND (4.0)","image":"/image/cc_by_nd.png","legal_code_url":"https://creativecommons.org/licenses/by-nd/4.0/legalcode","name":"Creative Commons Attribution-NoDerivatives 4.0 International (CC BY-ND 4.0)"},"status":"public","pubrep_id":"957","day":"03","project":[{"grant_number":"291734","_id":"25681D80-B435-11E9-9278-68D0E5697425","name":"International IST Postdoc Fellowship Programme","call_identifier":"FP7"},{"grant_number":"P 23499-N23","_id":"2584A770-B435-11E9-9278-68D0E5697425","name":"Modern Graph Algorithmic Techniques in Formal Verification","call_identifier":"FWF"},{"name":"Quantitative Graph Games: Theory and Applications","call_identifier":"FP7","grant_number":"279307","_id":"2581B60A-B435-11E9-9278-68D0E5697425"},{"name":"Atomic Resolution Structures of Mitochondrial Respiratory Chain Supercomplexes","call_identifier":"H2020","grant_number":"701309","_id":"2590DB08-B435-11E9-9278-68D0E5697425"}],"citation":{"mla":"Chatterjee, Krishnendu, et al. “Unifying Two Views on Multiple Mean-Payoff Objectives in Markov Decision Processes.” <i>Logical Methods in Computer Science</i>, vol. 13, no. 2, 15, International Federation for Computational Logic, 2017, doi:<a href=\"https://doi.org/10.23638/LMCS-13(2:15)2017\">10.23638/LMCS-13(2:15)2017</a>.","chicago":"Chatterjee, Krishnendu, Zuzana Křetínská, and Jan Kretinsky. “Unifying Two Views on Multiple Mean-Payoff Objectives in Markov Decision Processes.” <i>Logical Methods in Computer Science</i>. International Federation for Computational Logic, 2017. <a href=\"https://doi.org/10.23638/LMCS-13(2:15)2017\">https://doi.org/10.23638/LMCS-13(2:15)2017</a>.","apa":"Chatterjee, K., Křetínská, Z., &#38; Kretinsky, J. (2017). Unifying two views on multiple mean-payoff objectives in Markov decision processes. <i>Logical Methods in Computer Science</i>. International Federation for Computational Logic. <a href=\"https://doi.org/10.23638/LMCS-13(2:15)2017\">https://doi.org/10.23638/LMCS-13(2:15)2017</a>","ama":"Chatterjee K, Křetínská Z, Kretinsky J. Unifying two views on multiple mean-payoff objectives in Markov decision processes. <i>Logical Methods in Computer Science</i>. 2017;13(2). doi:<a href=\"https://doi.org/10.23638/LMCS-13(2:15)2017\">10.23638/LMCS-13(2:15)2017</a>","ista":"Chatterjee K, Křetínská Z, Kretinsky J. 2017. Unifying two views on multiple mean-payoff objectives in Markov decision processes. Logical Methods in Computer Science. 13(2), 15.","ieee":"K. Chatterjee, Z. Křetínská, and J. Kretinsky, “Unifying two views on multiple mean-payoff objectives in Markov decision processes,” <i>Logical Methods in Computer Science</i>, vol. 13, no. 2. International Federation for Computational Logic, 2017.","short":"K. Chatterjee, Z. Křetínská, J. Kretinsky, Logical Methods in Computer Science 13 (2017)."},"type":"journal_article","oa_version":"Published Version","intvolume":"        13","_id":"466","scopus_import":"1","publist_id":"7355","oa":1,"file_date_updated":"2020-07-14T12:46:33Z","isi":1,"department":[{"_id":"KrCh"}],"publisher":"International Federation for Computational Logic","date_updated":"2026-07-06T13:26:27Z","language":[{"iso":"eng"}],"month":"07","date_published":"2017-07-03T00:00:00Z"},{"publication_identifier":{"issn":["1860-5974"]},"doi":"10.23638/LMCS-13(3:23)2017","issue":"3","das_tickbox":"1","publication":"Logical Methods in Computer Science","date_created":"2018-12-11T11:46:37Z","year":"2017","has_accepted_license":"1","ddc":["004"],"corr_author":"1","quality_controlled":"1","file":[{"access_level":"open_access","checksum":"08041379ba408d40664f449eb5907a8f","relation":"main_file","date_updated":"2020-07-14T12:46:33Z","file_size":279071,"file_id":"5090","creator":"system","date_created":"2018-12-12T10:14:37Z","content_type":"application/pdf","file_name":"IST-2015-321-v1+1_main.pdf"},{"relation":"main_file","checksum":"08041379ba408d40664f449eb5907a8f","access_level":"open_access","file_size":279071,"date_updated":"2020-07-14T12:46:33Z","file_id":"5091","creator":"system","date_created":"2018-12-12T10:14:38Z","content_type":"application/pdf","file_name":"IST-2018-955-v1+1_2017_Chatterjee_Edit_distance.pdf"}],"related_material":{"record":[{"status":"public","relation":"earlier_version","id":"5438"},{"status":"public","relation":"earlier_version","id":"1610"}]},"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","author":[{"full_name":"Chatterjee, Krishnendu","orcid":"0000-0002-4561-241X","id":"2E5DCA20-F248-11E8-B48F-1D18A9856A87","first_name":"Krishnendu","last_name":"Chatterjee"},{"first_name":"Thomas A","last_name":"Henzinger","orcid":"0000−0002−2985−7724","id":"40876CD8-F248-11E8-B48F-1D18A9856A87","full_name":"Henzinger, Thomas A"},{"full_name":"Ibsen-Jensen, Rasmus","id":"3B699956-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0003-4783-0389","last_name":"Ibsen-Jensen","first_name":"Rasmus"},{"full_name":"Otop, Jan","first_name":"Jan","last_name":"Otop"}],"volume":13,"title":"Edit distance for pushdown automata","article_processing_charge":"No","publication_status":"published","external_id":{"isi":["000419163000005"]},"abstract":[{"text":"The edit distance between two words w 1 , w 2 is the minimal number of word operations (letter insertions, deletions, and substitutions) necessary to transform w 1 to w 2 . The edit distance generalizes to languages L 1 , L 2 , where the edit distance from L 1 to L 2 is the minimal number k such that for every word from L 1 there exists a word in L 2 with edit distance at most k . We study the edit distance computation problem between pushdown automata and their subclasses. The problem of computing edit distance to a pushdown automaton is undecidable, and in practice, the interesting question is to compute the edit distance from a pushdown automaton (the implementation, a standard model for programs with recursion) to a regular language (the specification). In this work, we present a complete picture of decidability and complexity for the following problems: (1) deciding whether, for a given threshold k , the edit distance from a pushdown automaton to a finite automaton is at most k , and (2) deciding whether the edit distance from a pushdown automaton to a finite automaton is finite. ","lang":"eng"}],"pubrep_id":"955","day":"13","status":"public","tmp":{"short":"CC BY-ND (4.0)","image":"/image/cc_by_nd.png","legal_code_url":"https://creativecommons.org/licenses/by-nd/4.0/legalcode","name":"Creative Commons Attribution-NoDerivatives 4.0 International (CC BY-ND 4.0)"},"ec_funded":1,"citation":{"ama":"Chatterjee K, Henzinger TA, Ibsen-Jensen R, Otop J. Edit distance for pushdown automata. <i>Logical Methods in Computer Science</i>. 2017;13(3). doi:<a href=\"https://doi.org/10.23638/LMCS-13(3:23)2017\">10.23638/LMCS-13(3:23)2017</a>","ista":"Chatterjee K, Henzinger TA, Ibsen-Jensen R, Otop J. 2017. Edit distance for pushdown automata. Logical Methods in Computer Science. 13(3).","short":"K. Chatterjee, T.A. Henzinger, R. Ibsen-Jensen, J. Otop, Logical Methods in Computer Science 13 (2017).","ieee":"K. Chatterjee, T. A. Henzinger, R. Ibsen-Jensen, and J. Otop, “Edit distance for pushdown automata,” <i>Logical Methods in Computer Science</i>, vol. 13, no. 3. International Federation for Computational Logic, 2017.","mla":"Chatterjee, Krishnendu, et al. “Edit Distance for Pushdown Automata.” <i>Logical Methods in Computer Science</i>, vol. 13, no. 3, International Federation for Computational Logic, 2017, doi:<a href=\"https://doi.org/10.23638/LMCS-13(3:23)2017\">10.23638/LMCS-13(3:23)2017</a>.","chicago":"Chatterjee, Krishnendu, Thomas A Henzinger, Rasmus Ibsen-Jensen, and Jan Otop. “Edit Distance for Pushdown Automata.” <i>Logical Methods in Computer Science</i>. International Federation for Computational Logic, 2017. <a href=\"https://doi.org/10.23638/LMCS-13(3:23)2017\">https://doi.org/10.23638/LMCS-13(3:23)2017</a>.","apa":"Chatterjee, K., Henzinger, T. A., Ibsen-Jensen, R., &#38; Otop, J. (2017). Edit distance for pushdown automata. <i>Logical Methods in Computer Science</i>. International Federation for Computational Logic. <a href=\"https://doi.org/10.23638/LMCS-13(3:23)2017\">https://doi.org/10.23638/LMCS-13(3:23)2017</a>"},"project":[{"call_identifier":"FWF","name":"Moderne Concurrency Paradigms","_id":"25F5A88A-B435-11E9-9278-68D0E5697425","grant_number":"S11402-N23"},{"grant_number":"P 23499-N23","_id":"2584A770-B435-11E9-9278-68D0E5697425","name":"Modern Graph Algorithmic Techniques in Formal Verification","call_identifier":"FWF"},{"name":"Formal methods for the design and analysis of complex systems","call_identifier":"FWF","grant_number":"Z211","_id":"25F42A32-B435-11E9-9278-68D0E5697425"},{"grant_number":"267989","_id":"25EE3708-B435-11E9-9278-68D0E5697425","name":"Quantitative Reactive Modeling","call_identifier":"FP7"},{"name":"Quantitative Graph Games: Theory and Applications","call_identifier":"FP7","grant_number":"279307","_id":"2581B60A-B435-11E9-9278-68D0E5697425"},{"name":"Game Theory","call_identifier":"FWF","grant_number":"S11407","_id":"25863FF4-B435-11E9-9278-68D0E5697425"}],"publist_id":"7356","scopus_import":"1","_id":"465","intvolume":"        13","oa_version":"Published Version","type":"journal_article","date_published":"2017-09-13T00:00:00Z","language":[{"iso":"eng"}],"month":"09","date_updated":"2026-07-06T13:27:53Z","publisher":"International Federation for Computational Logic","department":[{"_id":"KrCh"},{"_id":"ToHe"}],"isi":1,"file_date_updated":"2020-07-14T12:46:33Z","oa":1},{"pubrep_id":"956","status":"public","day":"26","ec_funded":1,"tmp":{"short":"CC BY-ND (4.0)","image":"/image/cc_by_nd.png","legal_code_url":"https://creativecommons.org/licenses/by-nd/4.0/legalcode","name":"Creative Commons Attribution-NoDerivatives 4.0 International (CC BY-ND 4.0)"},"citation":{"short":"K. Chatterjee, M. Henzinger, V. Loitzenbauer, Logical Methods in Computer Science 13 (2017).","ieee":"K. Chatterjee, M. Henzinger, and V. Loitzenbauer, “Improved algorithms for parity and Streett objectives,” <i>Logical Methods in Computer Science</i>, vol. 13, no. 3. International Federation for Computational Logic, 2017.","ama":"Chatterjee K, Henzinger M, Loitzenbauer V. Improved algorithms for parity and Streett objectives. <i>Logical Methods in Computer Science</i>. 2017;13(3). doi:<a href=\"https://doi.org/10.23638/LMCS-13(3:26)2017\">10.23638/LMCS-13(3:26)2017</a>","ista":"Chatterjee K, Henzinger M, Loitzenbauer V. 2017. Improved algorithms for parity and Streett objectives. Logical Methods in Computer Science. 13(3), 26.","chicago":"Chatterjee, Krishnendu, Monika Henzinger, and Veronika Loitzenbauer. “Improved Algorithms for Parity and Streett Objectives.” <i>Logical Methods in Computer Science</i>. International Federation for Computational Logic, 2017. <a href=\"https://doi.org/10.23638/LMCS-13(3:26)2017\">https://doi.org/10.23638/LMCS-13(3:26)2017</a>.","apa":"Chatterjee, K., Henzinger, M., &#38; Loitzenbauer, V. (2017). Improved algorithms for parity and Streett objectives. <i>Logical Methods in Computer Science</i>. International Federation for Computational Logic. <a href=\"https://doi.org/10.23638/LMCS-13(3:26)2017\">https://doi.org/10.23638/LMCS-13(3:26)2017</a>","mla":"Chatterjee, Krishnendu, et al. “Improved Algorithms for Parity and Streett Objectives.” <i>Logical Methods in Computer Science</i>, vol. 13, no. 3, 26, International Federation for Computational Logic, 2017, doi:<a href=\"https://doi.org/10.23638/LMCS-13(3:26)2017\">10.23638/LMCS-13(3:26)2017</a>."},"project":[{"_id":"2584A770-B435-11E9-9278-68D0E5697425","grant_number":"P 23499-N23","call_identifier":"FWF","name":"Modern Graph Algorithmic Techniques in Formal Verification"},{"name":"Game Theory","call_identifier":"FWF","grant_number":"S11407","_id":"25863FF4-B435-11E9-9278-68D0E5697425"},{"_id":"25892FC0-B435-11E9-9278-68D0E5697425","grant_number":"ICT15-003","name":"Efficient Algorithms for Computer Aided Verification"},{"_id":"2581B60A-B435-11E9-9278-68D0E5697425","grant_number":"279307","call_identifier":"FP7","name":"Quantitative Graph Games: Theory and Applications"}],"publist_id":"7357","_id":"464","scopus_import":"1","intvolume":"        13","oa_version":"Published Version","type":"journal_article","month":"09","language":[{"iso":"eng"}],"date_published":"2017-09-26T00:00:00Z","arxiv":1,"department":[{"_id":"KrCh"}],"publisher":"International Federation for Computational Logic","date_updated":"2026-07-06T13:28:05Z","isi":1,"oa":1,"file_date_updated":"2020-07-14T12:46:32Z","issue":"3","doi":"10.23638/LMCS-13(3:26)2017","publication_identifier":{"issn":["1860-5974"]},"publication":"Logical Methods in Computer Science","das_tickbox":"1","year":"2017","date_created":"2018-12-11T11:46:37Z","article_number":"26","has_accepted_license":"1","ddc":["004"],"corr_author":"1","file":[{"file_id":"5010","access_level":"open_access","relation":"main_file","checksum":"12d469ae69b80361333d7dead965cf5d","file_size":582940,"date_updated":"2020-07-14T12:46:32Z","date_created":"2018-12-12T10:13:27Z","file_name":"IST-2018-956-v1+1_2017_Chatterjee_Improved_algorithms.pdf","content_type":"application/pdf","creator":"system"}],"quality_controlled":"1","related_material":{"record":[{"relation":"earlier_version","id":"1661","status":"public"}]},"author":[{"first_name":"Krishnendu","last_name":"Chatterjee","full_name":"Chatterjee, Krishnendu","id":"2E5DCA20-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-4561-241X"},{"first_name":"Monika H","last_name":"Henzinger","orcid":"0000-0002-5008-6530","id":"540c9bbd-f2de-11ec-812d-d04a5be85630","full_name":"Henzinger, Monika H"},{"last_name":"Loitzenbauer","first_name":"Veronika","full_name":"Loitzenbauer, Veronika"}],"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","volume":13,"title":"Improved algorithms for parity and Streett objectives","article_processing_charge":"No","abstract":[{"text":"The computation of the winning set for parity objectives and for Streett objectives in graphs as well as in game graphs are central problems in computer-aided verification, with application to the verification of closed systems with strong fairness conditions, the verification of open systems, checking interface compatibility, well-formedness of specifications, and the synthesis of reactive systems. We show how to compute the winning set on n vertices for (1) parity-3 (aka one-pair Streett) objectives in game graphs in time O(n5/2) and for (2) k-pair Streett objectives in graphs in time O(n2+nklogn). For both problems this gives faster algorithms for dense graphs and represents the first improvement in asymptotic running time in 15 years.","lang":"eng"}],"external_id":{"isi":["000419163000001"],"arxiv":["1410.0833"]},"publication_status":"published"},{"has_accepted_license":"1","ddc":["000","570"],"corr_author":"1","quality_controlled":"1","file":[{"date_created":"2019-11-19T07:57:39Z","content_type":"application/pdf","file_name":"2017_JournTheoretBio_Priklopil.pdf","creator":"dernst","file_id":"7047","relation":"main_file","checksum":"4b43af1615ebf1a861840cb03d8a320c","access_level":"open_access","file_size":537323,"date_updated":"2020-07-14T12:47:58Z"}],"publication_identifier":{"issn":["0022-5193"]},"doi":"10.1016/j.jtbi.2017.08.025","publication":"Journal of Theoretical Biology","das_tickbox":"1","year":"2017","date_created":"2018-12-11T11:48:16Z","title":"Optional interactions and suspicious behaviour facilitates trustful cooperation in prisoners dilemma","page":"64 - 72","article_processing_charge":"No","license":"https://creativecommons.org/licenses/by-nc-nd/4.0/","abstract":[{"lang":"eng","text":"In evolutionary game theory interactions between individuals are often assumed obligatory. However, in many real-life situations, individuals can decide to opt out of an interaction depending on the information they have about the opponent. We consider a simple evolutionary game theoretic model to study such a scenario, where at each encounter between two individuals the type of the opponent (cooperator/defector) is known with some probability, and where each individual either accepts or opts out of the interaction. If the type of the opponent is unknown, a trustful individual accepts the interaction, whereas a suspicious individual opts out of the interaction. If either of the two individuals opt out both individuals remain without an interaction. We show that in the prisoners dilemma optional interactions along with suspicious behaviour facilitates the emergence of trustful cooperation."}],"external_id":{"isi":["000412039800007"],"pmid":["28867224"]},"publication_status":"published","pmid":1,"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","author":[{"full_name":"Priklopil, Tadeas","id":"3C869AA0-F248-11E8-B48F-1D18A9856A87","first_name":"Tadeas","last_name":"Priklopil"},{"full_name":"Chatterjee, Krishnendu","orcid":"0000-0002-4561-241X","id":"2E5DCA20-F248-11E8-B48F-1D18A9856A87","last_name":"Chatterjee","first_name":"Krishnendu"},{"last_name":"Nowak","first_name":"Martin","full_name":"Nowak, Martin"}],"volume":433,"citation":{"apa":"Priklopil, T., Chatterjee, K., &#38; Nowak, M. (2017). Optional interactions and suspicious behaviour facilitates trustful cooperation in prisoners dilemma. <i>Journal of Theoretical Biology</i>. Elsevier. <a href=\"https://doi.org/10.1016/j.jtbi.2017.08.025\">https://doi.org/10.1016/j.jtbi.2017.08.025</a>","chicago":"Priklopil, Tadeas, Krishnendu Chatterjee, and Martin Nowak. “Optional Interactions and Suspicious Behaviour Facilitates Trustful Cooperation in Prisoners Dilemma.” <i>Journal of Theoretical Biology</i>. Elsevier, 2017. <a href=\"https://doi.org/10.1016/j.jtbi.2017.08.025\">https://doi.org/10.1016/j.jtbi.2017.08.025</a>.","mla":"Priklopil, Tadeas, et al. “Optional Interactions and Suspicious Behaviour Facilitates Trustful Cooperation in Prisoners Dilemma.” <i>Journal of Theoretical Biology</i>, vol. 433, Elsevier, 2017, pp. 64–72, doi:<a href=\"https://doi.org/10.1016/j.jtbi.2017.08.025\">10.1016/j.jtbi.2017.08.025</a>.","ieee":"T. Priklopil, K. Chatterjee, and M. Nowak, “Optional interactions and suspicious behaviour facilitates trustful cooperation in prisoners dilemma,” <i>Journal of Theoretical Biology</i>, vol. 433. Elsevier, pp. 64–72, 2017.","short":"T. Priklopil, K. Chatterjee, M. Nowak, Journal of Theoretical Biology 433 (2017) 64–72.","ista":"Priklopil T, Chatterjee K, Nowak M. 2017. Optional interactions and suspicious behaviour facilitates trustful cooperation in prisoners dilemma. Journal of Theoretical Biology. 433, 64–72.","ama":"Priklopil T, Chatterjee K, Nowak M. Optional interactions and suspicious behaviour facilitates trustful cooperation in prisoners dilemma. <i>Journal of Theoretical Biology</i>. 2017;433:64-72. doi:<a href=\"https://doi.org/10.1016/j.jtbi.2017.08.025\">10.1016/j.jtbi.2017.08.025</a>"},"project":[{"_id":"25681D80-B435-11E9-9278-68D0E5697425","grant_number":"291734","call_identifier":"FP7","name":"International IST Postdoc Fellowship Programme"},{"name":"Quantitative Graph Games: Theory and Applications","call_identifier":"FP7","grant_number":"279307","_id":"2581B60A-B435-11E9-9278-68D0E5697425"}],"status":"public","day":"21","ec_funded":1,"tmp":{"short":"CC BY-NC-ND (4.0)","name":"Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0)","legal_code_url":"https://creativecommons.org/licenses/by-nc-nd/4.0/legalcode","image":"/images/cc_by_nc_nd.png"},"month":"11","language":[{"iso":"eng"}],"date_published":"2017-11-21T00:00:00Z","department":[{"_id":"KrCh"}],"publisher":"Elsevier","date_updated":"2026-07-07T13:11:54Z","isi":1,"oa":1,"file_date_updated":"2020-07-14T12:47:58Z","publist_id":"6923","_id":"744","scopus_import":"1","article_type":"original","oa_version":"Submitted Version","intvolume":"       433","type":"journal_article"},{"oa_version":"Preprint","intvolume":"        18","type":"journal_article","publist_id":"7354","_id":"467","scopus_import":"1","isi":1,"oa":1,"month":"12","language":[{"iso":"eng"}],"date_published":"2017-12-01T00:00:00Z","arxiv":1,"department":[{"_id":"KrCh"},{"_id":"ToHe"}],"publisher":"ACM","date_updated":"2026-07-07T14:01:10Z","ec_funded":1,"status":"public","day":"01","citation":{"ieee":"K. Chatterjee, T. A. Henzinger, and J. Otop, “Nested weighted automata,” <i>ACM Transactions on Computational Logic</i>, vol. 18, no. 4. ACM, 2017.","short":"K. Chatterjee, T.A. Henzinger, J. Otop, ACM Transactions on Computational Logic 18 (2017).","ista":"Chatterjee K, Henzinger TA, Otop J. 2017. Nested weighted automata. ACM Transactions on Computational Logic. 18(4), 31.","ama":"Chatterjee K, Henzinger TA, Otop J. Nested weighted automata. <i>ACM Transactions on Computational Logic</i>. 2017;18(4). doi:<a href=\"https://doi.org/10.1145/3152769\">10.1145/3152769</a>","apa":"Chatterjee, K., Henzinger, T. A., &#38; Otop, J. (2017). Nested weighted automata. <i>ACM Transactions on Computational Logic</i>. ACM. <a href=\"https://doi.org/10.1145/3152769\">https://doi.org/10.1145/3152769</a>","chicago":"Chatterjee, Krishnendu, Thomas A Henzinger, and Jan Otop. “Nested Weighted Automata.” <i>ACM Transactions on Computational Logic</i>. ACM, 2017. <a href=\"https://doi.org/10.1145/3152769\">https://doi.org/10.1145/3152769</a>.","mla":"Chatterjee, Krishnendu, et al. “Nested Weighted Automata.” <i>ACM Transactions on Computational Logic</i>, vol. 18, no. 4, 31, ACM, 2017, doi:<a href=\"https://doi.org/10.1145/3152769\">10.1145/3152769</a>."},"project":[{"call_identifier":"FWF","name":"Rigorous Systems Engineering","_id":"25832EC2-B435-11E9-9278-68D0E5697425","grant_number":"S 11407_N23"},{"name":"Formal methods for the design and analysis of complex systems","call_identifier":"FWF","grant_number":"Z211","_id":"25F42A32-B435-11E9-9278-68D0E5697425"},{"call_identifier":"FWF","name":"Modern Graph Algorithmic Techniques in Formal Verification","_id":"2584A770-B435-11E9-9278-68D0E5697425","grant_number":"P 23499-N23"},{"grant_number":"279307","_id":"2581B60A-B435-11E9-9278-68D0E5697425","name":"Quantitative Graph Games: Theory and Applications","call_identifier":"FP7"},{"_id":"2587B514-B435-11E9-9278-68D0E5697425","name":"Microsoft Research Faculty Fellowship"}],"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","author":[{"full_name":"Chatterjee, Krishnendu","orcid":"0000-0002-4561-241X","id":"2E5DCA20-F248-11E8-B48F-1D18A9856A87","last_name":"Chatterjee","first_name":"Krishnendu"},{"last_name":"Henzinger","first_name":"Thomas A","orcid":"0000−0002−2985−7724","id":"40876CD8-F248-11E8-B48F-1D18A9856A87","full_name":"Henzinger, Thomas A"},{"id":"2FC5DA74-F248-11E8-B48F-1D18A9856A87","full_name":"Otop, Jan","last_name":"Otop","first_name":"Jan"}],"volume":18,"related_material":{"record":[{"status":"public","id":"5415","relation":"earlier_version"},{"status":"public","id":"5436","relation":"earlier_version"},{"status":"public","id":"1656","relation":"earlier_version"}]},"article_processing_charge":"No","abstract":[{"lang":"eng","text":"Recently there has been a significant effort to handle quantitative properties in formal verification and synthesis. While weighted automata over finite and infinite words provide a natural and flexible framework to express quantitative properties, perhaps surprisingly, some basic system properties such as average response time cannot be expressed using weighted automata or in any other known decidable formalism. In this work, we introduce nested weighted automata as a natural extension of weighted automata, which makes it possible to express important quantitative properties such as average response time. In nested weighted automata, a master automaton spins off and collects results from weighted slave automata, each of which computes a quantity along a finite portion of an infinite word. Nested weighted automata can be viewed as the quantitative analogue of monitor automata, which are used in runtime verification. We establish an almost-complete decidability picture for the basic decision problems about nested weighted automata and illustrate their applicability in several domains. In particular, nested weighted automata can be used to decide average response time properties."}],"external_id":{"arxiv":["1606.03598"],"isi":["000419237100006"]},"publication_status":"published","title":"Nested weighted automata","year":"2017","date_created":"2018-12-11T11:46:38Z","article_number":"31","issue":"4","doi":"10.1145/3152769","publication_identifier":{"issn":["1529-3785"]},"publication":"ACM Transactions on Computational Logic","das_tickbox":"1","corr_author":"1","quality_controlled":"1","main_file_link":[{"url":"https://arxiv.org/abs/1606.03598","open_access":"1"}]},{"oa":1,"file_date_updated":"2020-07-14T12:48:16Z","isi":1,"department":[{"_id":"KrCh"}],"publisher":"Springer","date_updated":"2026-09-04T22:31:01Z","month":"01","language":[{"iso":"eng"}],"date_published":"2017-01-01T00:00:00Z","type":"conference","intvolume":"     10482","oa_version":"Submitted Version","_id":"949","scopus_import":"1","publist_id":"6468","project":[{"_id":"25863FF4-B435-11E9-9278-68D0E5697425","grant_number":"S11407","call_identifier":"FWF","name":"Game Theory"},{"name":"Quantitative Graph Games: Theory and Applications","call_identifier":"FP7","grant_number":"279307","_id":"2581B60A-B435-11E9-9278-68D0E5697425"}],"citation":{"ieee":"K. Chatterjee, A. K. Goharshady, and A. Pavlogiannis, “JTDec: A tool for tree decompositions in soot,” presented at the ATVA: Automated Technology for Verification and Analysis, Pune, India, 2017, vol. 10482, pp. 59–66.","short":"K. Chatterjee, A.K. Goharshady, A. Pavlogiannis, in:, D. D’Souza (Ed.), Springer, 2017, pp. 59–66.","ama":"Chatterjee K, Goharshady AK, Pavlogiannis A. JTDec: A tool for tree decompositions in soot. In: D’Souza D, ed. Vol 10482. Springer; 2017:59-66. doi:<a href=\"https://doi.org/10.1007/978-3-319-68167-2_4\">10.1007/978-3-319-68167-2_4</a>","ista":"Chatterjee K, Goharshady AK, Pavlogiannis A. 2017. JTDec: A tool for tree decompositions in soot. ATVA: Automated Technology for Verification and Analysis, LNCS, vol. 10482, 59–66.","chicago":"Chatterjee, Krishnendu, Amir Kafshdar Goharshady, and Andreas Pavlogiannis. “JTDec: A Tool for Tree Decompositions in Soot.” edited by Deepak D’Souza, 10482:59–66. Springer, 2017. <a href=\"https://doi.org/10.1007/978-3-319-68167-2_4\">https://doi.org/10.1007/978-3-319-68167-2_4</a>.","apa":"Chatterjee, K., Goharshady, A. K., &#38; Pavlogiannis, A. (2017). JTDec: A tool for tree decompositions in soot. In D. D’Souza (Ed.) (Vol. 10482, pp. 59–66). Presented at the ATVA: Automated Technology for Verification and Analysis, Pune, India: Springer. <a href=\"https://doi.org/10.1007/978-3-319-68167-2_4\">https://doi.org/10.1007/978-3-319-68167-2_4</a>","mla":"Chatterjee, Krishnendu, et al. <i>JTDec: A Tool for Tree Decompositions in Soot</i>. Edited by Deepak D’Souza, vol. 10482, Springer, 2017, pp. 59–66, doi:<a href=\"https://doi.org/10.1007/978-3-319-68167-2_4\">10.1007/978-3-319-68167-2_4</a>."},"ec_funded":1,"pubrep_id":"845","day":"01","status":"public","alternative_title":["LNCS"],"abstract":[{"lang":"eng","text":"The notion of treewidth of graphs has been exploited for faster algorithms for several problems arising in verification and program analysis. Moreover, various notions of balanced tree decompositions have been used for improved algorithms supporting dynamic updates and analysis of concurrent programs. In this work, we present a tool for constructing tree-decompositions of CFGs obtained from Java methods, which is implemented as an extension to the widely used Soot framework. The experimental results show that our implementation on real-world Java benchmarks is very efficient. Our tool also provides the first implementation for balancing tree-decompositions. In summary, we present the first tool support for exploiting treewidth in the static analysis problems on Java programs."}],"external_id":{"isi":["000723567800004"]},"publication_status":"published","page":"59 - 66","article_processing_charge":"No","title":"JTDec: A tool for tree decompositions in soot","editor":[{"full_name":"D'Souza, Deepak","last_name":"D'Souza","first_name":"Deepak"}],"volume":10482,"author":[{"orcid":"0000-0002-4561-241X","id":"2E5DCA20-F248-11E8-B48F-1D18A9856A87","full_name":"Chatterjee, Krishnendu","last_name":"Chatterjee","first_name":"Krishnendu"},{"first_name":"Amir","last_name":"Goharshady","orcid":"0000-0003-1702-6584","id":"391365CE-F248-11E8-B48F-1D18A9856A87","full_name":"Goharshady, Amir"},{"last_name":"Pavlogiannis","first_name":"Andreas","orcid":"0000-0002-8943-0722","id":"49704004-F248-11E8-B48F-1D18A9856A87","full_name":"Pavlogiannis, Andreas"}],"user_id":"ba8df636-2132-11f1-aed0-ed93e2281fdd","related_material":{"record":[{"status":"public","id":"8934","relation":"dissertation_contains"}]},"file":[{"creator":"system","date_created":"2018-12-12T10:10:45Z","file_name":"IST-2017-845-v1+1_2017_Chatterjee_JTDec.pdf","content_type":"application/pdf","checksum":"a0d9f5f94dc594c4e71e78525c9942f1","relation":"main_file","access_level":"open_access","file_size":948514,"date_updated":"2020-07-14T12:48:16Z","file_id":"4835"}],"quality_controlled":"1","corr_author":"1","ddc":["005"],"conference":{"start_date":"2017-10-03","name":"ATVA: Automated Technology for Verification and Analysis","end_date":"2017-10-06","location":"Pune, India"},"has_accepted_license":"1","year":"2017","date_created":"2018-12-11T11:49:22Z","doi":"10.1007/978-3-319-68167-2_4","publication_identifier":{"issn":["0302-9743"]}}]