[{"title":"Improved algorithms for parity and Streett objectives","related_material":{"record":[{"status":"public","relation":"earlier_version","id":"1661"}]},"oa":1,"publication_status":"published","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","_id":"464","month":"09","pubrep_id":"956","department":[{"_id":"KrCh"}],"abstract":[{"lang":"eng","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."}],"article_number":"26","status":"public","ec_funded":1,"intvolume":"        13","citation":{"apa":"Chatterjee, K., Henzinger, M. H., &#38; Loitzenbauer, V. (2017). Improved algorithms for parity and Streett objectives. <i>Logical Methods in Computer Science</i>. International Federation of 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>","chicago":"Chatterjee, Krishnendu, Monika H Henzinger, and Veronika Loitzenbauer. “Improved Algorithms for Parity and Streett Objectives.” <i>Logical Methods in Computer Science</i>. International Federation of 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>.","ista":"Chatterjee K, Henzinger MH, Loitzenbauer V. 2017. Improved algorithms for parity and Streett objectives. Logical Methods in Computer Science. 13(3), 26.","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 of Computational Logic, 2017, doi:<a href=\"https://doi.org/10.23638/LMCS-13(3:26)2017\">10.23638/LMCS-13(3:26)2017</a>.","ieee":"K. Chatterjee, M. H. Henzinger, and V. Loitzenbauer, “Improved algorithms for parity and Streett objectives,” <i>Logical Methods in Computer Science</i>, vol. 13, no. 3. International Federation of Computational Logic, 2017.","short":"K. Chatterjee, M.H. Henzinger, V. Loitzenbauer, Logical Methods in Computer Science 13 (2017).","ama":"Chatterjee K, Henzinger MH, 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>"},"has_accepted_license":"1","day":"26","file_date_updated":"2020-07-14T12:46:32Z","type":"journal_article","arxiv":1,"language":[{"iso":"eng"}],"publisher":"International Federation of Computational Logic","doi":"10.23638/LMCS-13(3:26)2017","ddc":["004"],"author":[{"id":"2E5DCA20-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-4561-241X","full_name":"Chatterjee, Krishnendu","first_name":"Krishnendu","last_name":"Chatterjee"},{"orcid":"0000-0002-5008-6530","id":"540c9bbd-f2de-11ec-812d-d04a5be85630","first_name":"Monika H","full_name":"Henzinger, Monika H","last_name":"Henzinger"},{"first_name":"Veronika","full_name":"Loitzenbauer, Veronika","last_name":"Loitzenbauer"}],"issue":"3","publist_id":"7357","publication":"Logical Methods in Computer Science","date_published":"2017-09-26T00:00:00Z","license":"https://creativecommons.org/licenses/by-nd/4.0/","external_id":{"arxiv":["1410.0833"]},"oa_version":"Published Version","volume":13,"file":[{"access_level":"open_access","date_updated":"2020-07-14T12:46:32Z","date_created":"2018-12-12T10:13:27Z","content_type":"application/pdf","file_id":"5010","file_name":"IST-2018-956-v1+1_2017_Chatterjee_Improved_algorithms.pdf","creator":"system","file_size":582940,"checksum":"12d469ae69b80361333d7dead965cf5d","relation":"main_file"}],"date_updated":"2025-06-02T08:53:41Z","project":[{"call_identifier":"FWF","_id":"2584A770-B435-11E9-9278-68D0E5697425","grant_number":"P 23499-N23","name":"Modern Graph Algorithmic Techniques in Formal Verification"},{"_id":"25863FF4-B435-11E9-9278-68D0E5697425","grant_number":"S11407","name":"Game Theory","call_identifier":"FWF"},{"_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","name":"Quantitative Graph Games: Theory and Applications","call_identifier":"FP7"}],"quality_controlled":"1","year":"2017","date_created":"2018-12-11T11:46:37Z","scopus_import":"1","publication_identifier":{"issn":["1860-5974"]},"tmp":{"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)","image":"/image/cc_by_nd.png","short":"CC BY-ND (4.0)"},"article_processing_charge":"No"}]