--- _id: '464' 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' article_processing_charge: No author: - first_name: Krishnendu full_name: Chatterjee, Krishnendu id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87 last_name: Chatterjee orcid: 0000-0002-4561-241X - first_name: Monika H full_name: Henzinger, Monika H id: 540c9bbd-f2de-11ec-812d-d04a5be85630 last_name: Henzinger orcid: 0000-0002-5008-6530 - first_name: Veronika full_name: Loitzenbauer, Veronika last_name: Loitzenbauer citation: ama: Chatterjee K, Henzinger MH, Loitzenbauer V. Improved algorithms for parity and Streett objectives. Logical Methods in Computer Science. 2017;13(3). doi:10.23638/LMCS-13(3:26)2017 apa: Chatterjee, K., Henzinger, M. H., & Loitzenbauer, V. (2017). Improved algorithms for parity and Streett objectives. Logical Methods in Computer Science. International Federation of Computational Logic. https://doi.org/10.23638/LMCS-13(3:26)2017 chicago: Chatterjee, Krishnendu, Monika H Henzinger, and Veronika Loitzenbauer. “Improved Algorithms for Parity and Streett Objectives.” Logical Methods in Computer Science. International Federation of Computational Logic, 2017. https://doi.org/10.23638/LMCS-13(3:26)2017. ieee: K. Chatterjee, M. H. Henzinger, and V. Loitzenbauer, “Improved algorithms for parity and Streett objectives,” Logical Methods in Computer Science, vol. 13, no. 3. International Federation of Computational Logic, 2017. 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.” Logical Methods in Computer Science, vol. 13, no. 3, 26, International Federation of Computational Logic, 2017, doi:10.23638/LMCS-13(3:26)2017. short: K. Chatterjee, M.H. Henzinger, V. Loitzenbauer, Logical Methods in Computer Science 13 (2017). date_created: 2018-12-11T11:46:37Z date_published: 2017-09-26T00:00:00Z date_updated: 2023-02-23T10:08:55Z day: '26' ddc: - '004' department: - _id: KrCh doi: 10.23638/LMCS-13(3:26)2017 ec_funded: 1 external_id: arxiv: - '1410.0833' file: - access_level: open_access checksum: 12d469ae69b80361333d7dead965cf5d content_type: application/pdf creator: system date_created: 2018-12-12T10:13:27Z date_updated: 2020-07-14T12:46:32Z file_id: '5010' file_name: IST-2018-956-v1+1_2017_Chatterjee_Improved_algorithms.pdf file_size: 582940 relation: main_file file_date_updated: 2020-07-14T12:46:32Z has_accepted_license: '1' intvolume: ' 13' issue: '3' language: - iso: eng license: https://creativecommons.org/licenses/by-nd/4.0/ month: '09' oa: 1 oa_version: Published Version project: - _id: 2584A770-B435-11E9-9278-68D0E5697425 call_identifier: FWF grant_number: P 23499-N23 name: Modern Graph Algorithmic Techniques in Formal Verification - _id: 25863FF4-B435-11E9-9278-68D0E5697425 call_identifier: FWF grant_number: S11407 name: Game Theory - _id: 25892FC0-B435-11E9-9278-68D0E5697425 grant_number: ICT15-003 name: Efficient Algorithms for Computer Aided Verification - _id: 2581B60A-B435-11E9-9278-68D0E5697425 call_identifier: FP7 grant_number: '279307' name: 'Quantitative Graph Games: Theory and Applications' publication: Logical Methods in Computer Science publication_identifier: issn: - 1860-5974 publication_status: published publisher: International Federation of Computational Logic publist_id: '7357' pubrep_id: '956' quality_controlled: '1' related_material: record: - id: '1661' relation: earlier_version status: public scopus_import: '1' status: public title: Improved algorithms for parity and Streett objectives tmp: 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) short: CC BY-ND (4.0) type: journal_article user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87 volume: 13 year: '2017' ...