{"id":"https://openalex.org/W1805536084","doi":"https://doi.org/10.1007/978-3-540-31980-1_32","title":"Shortest Counterexamples for Symbolic Model Checking of LTL with Past","display_name":"Shortest Counterexamples for Symbolic Model Checking of LTL with Past","publication_year":2005,"publication_date":"2005-01-01","ids":{"openalex":"https://openalex.org/W1805536084","doi":"https://doi.org/10.1007/978-3-540-31980-1_32","mag":"1805536084"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-540-31980-1_32","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-540-31980-1_32","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"type":"conference-paper","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5085739836","display_name":"Viktor Schuppan","orcid":"https://orcid.org/0000-0001-5638-3678"},"institutions":[{"id":"https://openalex.org/I35440088","display_name":"ETH Zurich","ror":"https://ror.org/05a28rw58","country_code":"CH","type":"education","lineage":["https://openalex.org/I2799323385","https://openalex.org/I35440088"]}],"countries":["CH"],"is_corresponding":false,"raw_author_name":"Viktor Schuppan","raw_affiliation_strings":["Computer Systems Institute, ETH Z\u00fcrich, CH-8092, Z\u00fcrich, Switzerland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Computer Systems Institute, ETH Z\u00fcrich, CH-8092, Z\u00fcrich, Switzerland","institution_ids":["https://openalex.org/I35440088"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5082596567","display_name":"Armin Biere","orcid":"https://orcid.org/0000-0001-7170-9242"},"institutions":[{"id":"https://openalex.org/I121883995","display_name":"Johannes Kepler University of Linz","ror":"https://ror.org/052r2xn60","country_code":"AT","type":"education","lineage":["https://openalex.org/I121883995"]}],"countries":["AT"],"is_corresponding":false,"raw_author_name":"Armin Biere","raw_affiliation_strings":["Institute for Formal Models and Verification, Johannes Kepler University, Altenbergerstrasse 69, A-4040, Linz, Austria"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute for Formal Models and Verification, Johannes Kepler University, Altenbergerstrasse 69, A-4040, Linz, Austria","institution_ids":["https://openalex.org/I121883995"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":3.6903,"has_fulltext":false,"cited_by_count":53,"citation_normalized_percentile":{"value":0.93584846,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":null,"issue":null,"first_page":"493","last_page":"509"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10142","display_name":"Formal Methods in Verification","score":0.9994999766349792,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10142","display_name":"Formal Methods in Verification","score":0.9994999766349792,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12423","display_name":"Software Reliability and Analysis Research","score":0.9884999990463257,"subfield":{"id":"https://openalex.org/subfields/1712","display_name":"Software"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10743","display_name":"Software Testing and Debugging Techniques","score":0.9853000044822693,"subfield":{"id":"https://openalex.org/subfields/1712","display_name":"Software"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/counterexample","display_name":"Counterexample","score":0.9377800226211548},{"id":"https://openalex.org/keywords/model-checking","display_name":"Model checking","score":0.74040687084198},{"id":"https://openalex.org/keywords/liveness","display_name":"Liveness","score":0.7122704982757568},{"id":"https://openalex.org/keywords/b\u00fcchi-automaton","display_name":"B\u00fcchi automaton","score":0.6872787475585938},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.6184008121490479},{"id":"https://openalex.org/keywords/automaton","display_name":"Automaton","score":0.5456481575965881},{"id":"https://openalex.org/keywords/state-space","display_name":"State space","score":0.48348528146743774},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.46187520027160645},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4547216296195984},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.42147207260131836},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.39180946350097656},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.3624769449234009},{"id":"https://openalex.org/keywords/deterministic-automaton","display_name":"Deterministic automaton","score":0.1609938144683838}],"concepts":[{"id":"https://openalex.org/C162838799","wikidata":"https://www.wikidata.org/wiki/Q596077","display_name":"Counterexample","level":2,"score":0.9377800226211548},{"id":"https://openalex.org/C110251889","wikidata":"https://www.wikidata.org/wiki/Q1569697","display_name":"Model checking","level":2,"score":0.74040687084198},{"id":"https://openalex.org/C15569618","wikidata":"https://www.wikidata.org/wiki/Q3561421","display_name":"Liveness","level":2,"score":0.7122704982757568},{"id":"https://openalex.org/C165753454","wikidata":"https://www.wikidata.org/wiki/Q1020380","display_name":"B\u00fcchi automaton","level":4,"score":0.6872787475585938},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.6184008121490479},{"id":"https://openalex.org/C112505250","wikidata":"https://www.wikidata.org/wiki/Q787116","display_name":"Automaton","level":2,"score":0.5456481575965881},{"id":"https://openalex.org/C72434380","wikidata":"https://www.wikidata.org/wiki/Q230930","display_name":"State space","level":2,"score":0.48348528146743774},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.46187520027160645},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4547216296195984},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.42147207260131836},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.39180946350097656},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3624769449234009},{"id":"https://openalex.org/C194525867","wikidata":"https://www.wikidata.org/wiki/Q5265707","display_name":"Deterministic automaton","level":3,"score":0.1609938144683838},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-540-31980-1_32","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-540-31980-1_32","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Sustainable cities and communities","score":0.4099999964237213,"id":"https://metadata.un.org/sdg/11"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":29,"referenced_works":["https://openalex.org/W42364276","https://openalex.org/W83959626","https://openalex.org/W1489260687","https://openalex.org/W1489391022","https://openalex.org/W1507116188","https://openalex.org/W1526456721","https://openalex.org/W1528291435","https://openalex.org/W1535375892","https://openalex.org/W1548402307","https://openalex.org/W1549122259","https://openalex.org/W1550083490","https://openalex.org/W1573354578","https://openalex.org/W1607782211","https://openalex.org/W1612453857","https://openalex.org/W1761635979","https://openalex.org/W1787074469","https://openalex.org/W1805536084","https://openalex.org/W1822320350","https://openalex.org/W2012935476","https://openalex.org/W2019881090","https://openalex.org/W2098171268","https://openalex.org/W2100112273","https://openalex.org/W2103146530","https://openalex.org/W2107182799","https://openalex.org/W2107470986","https://openalex.org/W2122061262","https://openalex.org/W2142853014","https://openalex.org/W2158027086","https://openalex.org/W4247198202"],"related_works":["https://openalex.org/W2591693623","https://openalex.org/W2584086706","https://openalex.org/W3005566532","https://openalex.org/W1748450182","https://openalex.org/W1805536084","https://openalex.org/W2111654715","https://openalex.org/W1989746243","https://openalex.org/W1774309420","https://openalex.org/W2226549490","https://openalex.org/W2950031643"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":4},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":5},{"year":2017,"cited_by_count":1},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":6},{"year":2013,"cited_by_count":2}],"updated_date":"2026-08-04T08:18:43.703281","created_date":"2025-10-10T00:00:00"}