{"id":"https://openalex.org/W1791618115","doi":"https://doi.org/10.1007/bf01383878","title":"A linear-time model-checking algorithm for the alternation-free modal mu-calculus","display_name":"A linear-time model-checking algorithm for the alternation-free modal mu-calculus","publication_year":1993,"publication_date":"1993-04-01","ids":{"openalex":"https://openalex.org/W1791618115","doi":"https://doi.org/10.1007/bf01383878","mag":"1791618115"},"language":"en","primary_location":{"id":"doi:10.1007/bf01383878","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bf01383878","pdf_url":null,"source":{"id":"https://openalex.org/S3845260","display_name":"Formal Methods in System Design","issn_l":"0925-9856","issn":["0925-9856","1572-8102"],"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":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Formal Methods in System Design","raw_type":"journal-article"},"type":"article","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/A5016408902","display_name":"Rance Cleaveland","orcid":"https://orcid.org/0000-0002-4952-5380"},"institutions":[{"id":"https://openalex.org/I137902535","display_name":"North Carolina State University","ror":"https://ror.org/04tj63d06","country_code":"US","type":"education","lineage":["https://openalex.org/I137902535"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Rance Cleaveland","raw_affiliation_strings":["Department of Computer Science, North Carolina State University, 27695-8206, Raleigh, NC, USA","North Carolina State University,"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science, North Carolina State University, 27695-8206, Raleigh, NC, USA","institution_ids":["https://openalex.org/I137902535"]},{"raw_affiliation_string":"North Carolina State University,","institution_ids":["https://openalex.org/I137902535"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5078808456","display_name":"Bernhard Steffen","orcid":"https://orcid.org/0000-0001-9619-1558"},"institutions":[{"id":"https://openalex.org/I887968799","display_name":"RWTH Aachen University","ror":"https://ror.org/04xfq0f34","country_code":"DE","type":"education","lineage":["https://openalex.org/I887968799"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Bernhard Steffen","raw_affiliation_strings":["Lehrstuhl f\u00fcr Informatik II, Rheinisch-Westf\u00e4lische Technische Hochschule Aachen, D-5100, Aachen, Germany","Rheinisch-Westf\u00e4lische Technische Hochschule, Aachen"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Lehrstuhl f\u00fcr Informatik II, Rheinisch-Westf\u00e4lische Technische Hochschule Aachen, D-5100, Aachen, Germany","institution_ids":["https://openalex.org/I887968799"]},{"raw_affiliation_string":"Rheinisch-Westf\u00e4lische Technische Hochschule, Aachen","institution_ids":["https://openalex.org/I887968799"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":3490,"currency":"USD","value_usd":3490},"apc_paid":null,"fwci":22.8771,"has_fulltext":false,"cited_by_count":223,"citation_normalized_percentile":{"value":0.99823411,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"2","issue":"2","first_page":"121","last_page":"147"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10142","display_name":"Formal Methods in Verification","score":0.9998000264167786,"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":0.9998000264167786,"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/T10126","display_name":"Logic, programming, and type systems","score":0.9991999864578247,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.9948999881744385,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/alternation","display_name":"Alternation (linguistics)","score":0.7291526794433594},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5988593697547913},{"id":"https://openalex.org/keywords/modal","display_name":"Modal","score":0.5861474275588989},{"id":"https://openalex.org/keywords/modal-logic","display_name":"Modal logic","score":0.5514371395111084},{"id":"https://openalex.org/keywords/modal-\u03bc-calculus","display_name":"Modal \u03bc-calculus","score":0.5312872529029846},{"id":"https://openalex.org/keywords/temporal-logic","display_name":"Temporal logic","score":0.5199785828590393},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5091530680656433},{"id":"https://openalex.org/keywords/fragment","display_name":"Fragment (logic)","score":0.5042113065719604},{"id":"https://openalex.org/keywords/model-checking","display_name":"Model checking","score":0.49505844712257385},{"id":"https://openalex.org/keywords/fixed-point","display_name":"Fixed point","score":0.46967607736587524},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.4230138659477234},{"id":"https://openalex.org/keywords/linear-temporal-logic","display_name":"Linear temporal logic","score":0.4206019341945648},{"id":"https://openalex.org/keywords/encode","display_name":"ENCODE","score":0.41965702176094055},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.386655330657959},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.36395084857940674},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.2096417248249054},{"id":"https://openalex.org/keywords/accessibility-relation","display_name":"Accessibility relation","score":0.19515091180801392}],"concepts":[{"id":"https://openalex.org/C26826806","wikidata":"https://www.wikidata.org/wiki/Q438358","display_name":"Alternation (linguistics)","level":2,"score":0.7291526794433594},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5988593697547913},{"id":"https://openalex.org/C71139939","wikidata":"https://www.wikidata.org/wiki/Q910194","display_name":"Modal","level":2,"score":0.5861474275588989},{"id":"https://openalex.org/C27508121","wikidata":"https://www.wikidata.org/wiki/Q210841","display_name":"Modal logic","level":3,"score":0.5514371395111084},{"id":"https://openalex.org/C173125200","wikidata":"https://www.wikidata.org/wiki/Q5275729","display_name":"Modal \u03bc-calculus","level":5,"score":0.5312872529029846},{"id":"https://openalex.org/C25016198","wikidata":"https://www.wikidata.org/wiki/Q781833","display_name":"Temporal logic","level":2,"score":0.5199785828590393},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5091530680656433},{"id":"https://openalex.org/C2776235265","wikidata":"https://www.wikidata.org/wiki/Q18392052","display_name":"Fragment (logic)","level":2,"score":0.5042113065719604},{"id":"https://openalex.org/C110251889","wikidata":"https://www.wikidata.org/wiki/Q1569697","display_name":"Model checking","level":2,"score":0.49505844712257385},{"id":"https://openalex.org/C61445026","wikidata":"https://www.wikidata.org/wiki/Q217608","display_name":"Fixed point","level":2,"score":0.46967607736587524},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.4230138659477234},{"id":"https://openalex.org/C4777664","wikidata":"https://www.wikidata.org/wiki/Q1536492","display_name":"Linear temporal logic","level":2,"score":0.4206019341945648},{"id":"https://openalex.org/C66746571","wikidata":"https://www.wikidata.org/wiki/Q1134833","display_name":"ENCODE","level":3,"score":0.41965702176094055},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.386655330657959},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.36395084857940674},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.2096417248249054},{"id":"https://openalex.org/C11191006","wikidata":"https://www.wikidata.org/wiki/Q2663311","display_name":"Accessibility relation","level":4,"score":0.19515091180801392},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C188027245","wikidata":"https://www.wikidata.org/wiki/Q750446","display_name":"Polymer chemistry","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1007/bf01383878","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bf01383878","pdf_url":null,"source":{"id":"https://openalex.org/S3845260","display_name":"Formal Methods in System Design","issn_l":"0925-9856","issn":["0925-9856","1572-8102"],"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":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Formal Methods in System Design","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.36.1662","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.36.1662","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.cs.sunysb.edu/~rance/publications/papers/fmsd93.ps.gz","raw_type":"text"},{"id":"pmh:oai:publications.rwth-aachen.de:119772","is_oa":false,"landing_page_url":"https://publications.rwth-aachen.de/record/119772","pdf_url":null,"source":{"id":"https://openalex.org/S4306401362","display_name":"RWTH Publications (RWTH Aachen)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I887968799","host_organization_name":"RWTH Aachen University","host_organization_lineage":["https://openalex.org/I887968799"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Theoretical aspects of computer software : International Conference TACS '91, Sendai, Japan, September 24 - 27, 1991 ; proceedings / T. Ito ... (ed.)","raw_type":"info:eu-repo/semantics/conferenceObject"},{"id":"pmh:oai:publications.rwth-aachen.de:834236","is_oa":false,"landing_page_url":"https://publications.rwth-aachen.de/search?p=id:%22RWTH-2021-09735%22","pdf_url":null,"source":{"id":"https://openalex.org/S4306401033","display_name":"RWTH Publications (RWTH Aachen)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I887968799","host_organization_name":"RWTH Aachen University","host_organization_lineage":["https://openalex.org/I887968799"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Formal methods in system design 2(2), 121-147 (1993). doi:10.1007/BF01383878","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/16","display_name":"Peace, Justice and strong institutions","score":0.4099999964237213}],"awards":[],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":31,"referenced_works":["https://openalex.org/W42134522","https://openalex.org/W1490526406","https://openalex.org/W1492683468","https://openalex.org/W1496019238","https://openalex.org/W1500812389","https://openalex.org/W1501794589","https://openalex.org/W1517789463","https://openalex.org/W1547265787","https://openalex.org/W1550474961","https://openalex.org/W1577412708","https://openalex.org/W1592916007","https://openalex.org/W1971107784","https://openalex.org/W1992582873","https://openalex.org/W2002570665","https://openalex.org/W2008781243","https://openalex.org/W2015640848","https://openalex.org/W2046213250","https://openalex.org/W2057260173","https://openalex.org/W2069709605","https://openalex.org/W2098023243","https://openalex.org/W2115409762","https://openalex.org/W2117189826","https://openalex.org/W2120501031","https://openalex.org/W2171536993","https://openalex.org/W2914577191","https://openalex.org/W3204486483","https://openalex.org/W4211046677","https://openalex.org/W4243721161","https://openalex.org/W4254170367","https://openalex.org/W4255941558","https://openalex.org/W6632812239"],"related_works":["https://openalex.org/W2124110813","https://openalex.org/W2521108391","https://openalex.org/W1532447905","https://openalex.org/W2031188261","https://openalex.org/W2763487042","https://openalex.org/W3021103820","https://openalex.org/W4285022830","https://openalex.org/W4232446061","https://openalex.org/W2184759525","https://openalex.org/W2019539243"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":5},{"year":2016,"cited_by_count":9},{"year":2015,"cited_by_count":7},{"year":2014,"cited_by_count":9},{"year":2013,"cited_by_count":5},{"year":2012,"cited_by_count":4}],"updated_date":"2026-07-23T08:03:31.855105","created_date":"2025-10-10T00:00:00"}
