{"id":"https://openalex.org/W2139315517","doi":"https://doi.org/10.2168/lmcs-7(3:3)2011","title":"EXPTIME Tableaux for the Coalgebraic mu-Calculus","display_name":"EXPTIME Tableaux for the Coalgebraic mu-Calculus","publication_year":2011,"publication_date":"2011-08-11","ids":{"openalex":"https://openalex.org/W2139315517","doi":"https://doi.org/10.2168/lmcs-7(3:3)2011","mag":"2139315517"},"language":"en","primary_location":{"id":"doi:10.2168/lmcs-7(3:3)2011","is_oa":true,"landing_page_url":"https://doi.org/10.2168/lmcs-7(3:3)2011","pdf_url":"https://lmcs.episciences.org/784/pdf","source":{"id":"https://openalex.org/S114379355","display_name":"Logical Methods in Computer Science","issn_l":"1860-5974","issn":["1860-5974"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310313916","host_organization_name":"Logical Methods in Computer Science e.V.","host_organization_lineage":["https://openalex.org/P4310313916"],"host_organization_lineage_names":["Logical Methods in Computer Science e.V."],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Logical Methods in Computer Science","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://lmcs.episciences.org/784/pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"Corina Cirstea","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Corina Cirstea","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":null,"display_name":"Clemens Kupke","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Clemens Kupke","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":null,"display_name":"Dirk Pattinson","orcid":null},"institutions":[{"id":"https://openalex.org/I47508984","display_name":"Imperial College London","ror":"https://ror.org/041kmwe10","country_code":"GB","type":"education","lineage":["https://openalex.org/I47508984"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Dirk Pattinson","raw_affiliation_strings":["Department of Computing, Imperial College London"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computing, Imperial College London","institution_ids":["https://openalex.org/I47508984"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.4559,"has_fulltext":true,"cited_by_count":14,"citation_normalized_percentile":{"value":0.77675602,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"Volume 7, Issue 3","issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.9264000058174133,"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"}},"topics":[{"id":"https://openalex.org/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.9264000058174133,"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/T10142","display_name":"Formal Methods in Verification","score":0.03009999915957451,"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":0.02590000070631504,"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/decidability","display_name":"Decidability","score":0.8145999908447266},{"id":"https://openalex.org/keywords/normal-modal-logic","display_name":"Normal modal logic","score":0.6909999847412109},{"id":"https://openalex.org/keywords/exptime","display_name":"EXPTIME","score":0.6632000207901001},{"id":"https://openalex.org/keywords/satisfiability","display_name":"Satisfiability","score":0.660099983215332},{"id":"https://openalex.org/keywords/modal-\u03bc-calculus","display_name":"Modal \u03bc-calculus","score":0.6370999813079834},{"id":"https://openalex.org/keywords/modal-logic","display_name":"Modal logic","score":0.6031000018119812},{"id":"https://openalex.org/keywords/extension","display_name":"Extension (predicate logic)","score":0.5813999772071838},{"id":"https://openalex.org/keywords/accessibility-relation","display_name":"Accessibility relation","score":0.5631999969482422},{"id":"https://openalex.org/keywords/probabilistic-logic","display_name":"Probabilistic logic","score":0.5271999835968018},{"id":"https://openalex.org/keywords/modal","display_name":"Modal","score":0.521399974822998}],"concepts":[{"id":"https://openalex.org/C153269930","wikidata":"https://www.wikidata.org/wiki/Q430001","display_name":"Decidability","level":2,"score":0.8145999908447266},{"id":"https://openalex.org/C114092440","wikidata":"https://www.wikidata.org/wiki/Q840226","display_name":"Normal modal logic","level":4,"score":0.6909999847412109},{"id":"https://openalex.org/C56049555","wikidata":"https://www.wikidata.org/wiki/Q1276570","display_name":"EXPTIME","level":4,"score":0.6632000207901001},{"id":"https://openalex.org/C168773769","wikidata":"https://www.wikidata.org/wiki/Q1350299","display_name":"Satisfiability","level":2,"score":0.660099983215332},{"id":"https://openalex.org/C173125200","wikidata":"https://www.wikidata.org/wiki/Q5275729","display_name":"Modal \u03bc-calculus","level":5,"score":0.6370999813079834},{"id":"https://openalex.org/C27508121","wikidata":"https://www.wikidata.org/wiki/Q210841","display_name":"Modal logic","level":3,"score":0.6031000018119812},{"id":"https://openalex.org/C2778029271","wikidata":"https://www.wikidata.org/wiki/Q5421931","display_name":"Extension (predicate logic)","level":2,"score":0.5813999772071838},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5813000202178955},{"id":"https://openalex.org/C11191006","wikidata":"https://www.wikidata.org/wiki/Q2663311","display_name":"Accessibility relation","level":4,"score":0.5631999969482422},{"id":"https://openalex.org/C49937458","wikidata":"https://www.wikidata.org/wiki/Q2599292","display_name":"Probabilistic logic","level":2,"score":0.5271999835968018},{"id":"https://openalex.org/C71139939","wikidata":"https://www.wikidata.org/wiki/Q910194","display_name":"Modal","level":2,"score":0.521399974822998},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.5206000208854675},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.5008000135421753},{"id":"https://openalex.org/C17231256","wikidata":"https://www.wikidata.org/wiki/Q5156540","display_name":"Completeness (order theory)","level":2,"score":0.4320000112056732},{"id":"https://openalex.org/C61445026","wikidata":"https://www.wikidata.org/wiki/Q217608","display_name":"Fixed point","level":2,"score":0.423799991607666},{"id":"https://openalex.org/C135315306","wikidata":"https://www.wikidata.org/wiki/Q866364","display_name":"Bisimulation","level":2,"score":0.41819998621940613},{"id":"https://openalex.org/C2780069185","wikidata":"https://www.wikidata.org/wiki/Q7977945","display_name":"Equivalence (formal languages)","level":2,"score":0.3912999927997589},{"id":"https://openalex.org/C192609573","wikidata":"https://www.wikidata.org/wiki/Q7388341","display_name":"S5","level":5,"score":0.37389999628067017},{"id":"https://openalex.org/C203659156","wikidata":"https://www.wikidata.org/wiki/Q6934805","display_name":"Multimodal logic","level":3,"score":0.37070000171661377},{"id":"https://openalex.org/C167729594","wikidata":"https://www.wikidata.org/wiki/Q17736","display_name":"Axiom","level":2,"score":0.36059999465942383},{"id":"https://openalex.org/C78344899","wikidata":"https://www.wikidata.org/wiki/Q638442","display_name":"Modal operator","level":4,"score":0.3596999943256378},{"id":"https://openalex.org/C184337299","wikidata":"https://www.wikidata.org/wiki/Q1437428","display_name":"Semantics (computer science)","level":2,"score":0.3395000100135803},{"id":"https://openalex.org/C2777796570","wikidata":"https://www.wikidata.org/wiki/Q2351326","display_name":"Dynamic logic (digital electronics)","level":4,"score":0.3303000032901764},{"id":"https://openalex.org/C117251300","wikidata":"https://www.wikidata.org/wiki/Q1849855","display_name":"Parametric statistics","level":2,"score":0.3224000036716461},{"id":"https://openalex.org/C73301696","wikidata":"https://www.wikidata.org/wiki/Q5469984","display_name":"Formalism (music)","level":3,"score":0.31859999895095825},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3172000050544739},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.31209999322891235},{"id":"https://openalex.org/C2780432614","wikidata":"https://www.wikidata.org/wiki/Q864213","display_name":"Conservative extension","level":2,"score":0.3109000027179718},{"id":"https://openalex.org/C6943359","wikidata":"https://www.wikidata.org/wiki/Q875276","display_name":"Boolean satisfiability problem","level":2,"score":0.28119999170303345},{"id":"https://openalex.org/C108710211","wikidata":"https://www.wikidata.org/wiki/Q11538","display_name":"Mathematical proof","level":2,"score":0.27889999747276306},{"id":"https://openalex.org/C160131679","wikidata":"https://www.wikidata.org/wiki/Q2462350","display_name":"Kripke semantics","level":4,"score":0.27799999713897705},{"id":"https://openalex.org/C39637292","wikidata":"https://www.wikidata.org/wiki/Q908207","display_name":"Complexity class","level":3,"score":0.27239999175071716},{"id":"https://openalex.org/C86602344","wikidata":"https://www.wikidata.org/wiki/Q7667918","display_name":"T-norm fuzzy logics","level":5,"score":0.2574999928474426},{"id":"https://openalex.org/C2778249326","wikidata":"https://www.wikidata.org/wiki/Q1777803","display_name":"Coalgebra","level":3,"score":0.2565999925136566}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.2168/lmcs-7(3:3)2011","is_oa":true,"landing_page_url":"https://doi.org/10.2168/lmcs-7(3:3)2011","pdf_url":"https://lmcs.episciences.org/784/pdf","source":{"id":"https://openalex.org/S114379355","display_name":"Logical Methods in Computer Science","issn_l":"1860-5974","issn":["1860-5974"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310313916","host_organization_name":"Logical Methods in Computer Science e.V.","host_organization_lineage":["https://openalex.org/P4310313916"],"host_organization_lineage_names":["Logical Methods in Computer Science e.V."],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Logical Methods in Computer Science","raw_type":"journal-article"},{"id":"pmh:oai:eprints.soton.ac.uk:271027","is_oa":false,"landing_page_url":"http://doi.org/10.2168/LMCS-7(3:3)2011>).","pdf_url":null,"source":{"id":"https://openalex.org/S4306401019","display_name":"ePrints Soton (University of Southampton)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I43439940","host_organization_name":"University of Southampton","host_organization_lineage":["https://openalex.org/I43439940"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":null,"raw_type":"Article"},{"id":"pmh:oai:arXiv.org:1105.2246","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1105.2246","pdf_url":"https://arxiv.org/pdf/1105.2246","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"pmh:oai:doaj.org/article:4ba4f1955c274ef5ae11a8fbe49bc257","is_oa":true,"landing_page_url":"https://doaj.org/article/4ba4f1955c274ef5ae11a8fbe49bc257","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Logical Methods in Computer Science, Vol Volume 7, Issue 3 (2011)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.2168/lmcs-7(3:3)2011","is_oa":true,"landing_page_url":"https://doi.org/10.2168/lmcs-7(3:3)2011","pdf_url":"https://lmcs.episciences.org/784/pdf","source":{"id":"https://openalex.org/S114379355","display_name":"Logical Methods in Computer Science","issn_l":"1860-5974","issn":["1860-5974"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310313916","host_organization_name":"Logical Methods in Computer Science e.V.","host_organization_lineage":["https://openalex.org/P4310313916"],"host_organization_lineage_names":["Logical Methods in Computer Science e.V."],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Logical Methods in Computer Science","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G102319328","display_name":"Coalgebraic Modal Logic: Fixpoints and Nested Modalities","funder_award_id":"EP/F031173/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G5149141064","display_name":null,"funder_award_id":"EP/F031173/1","funder_id":"https://openalex.org/F4320314731","funder_display_name":"UK Research and Innovation"},{"id":"https://openalex.org/G7585564688","display_name":null,"funder_award_id":"EP/F031173/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"}],"funders":[{"id":"https://openalex.org/F4320314731","display_name":"UK Research and Innovation","ror":"https://ror.org/001aqnf71"},{"id":"https://openalex.org/F4320334627","display_name":"Engineering and Physical Sciences Research Council","ror":"https://ror.org/0439y7842"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2139315517.pdf","grobid_xml":"https://content.openalex.org/works/W2139315517.grobid-xml"},"referenced_works_count":24,"referenced_works":["https://openalex.org/W143189931","https://openalex.org/W1499184985","https://openalex.org/W1501952738","https://openalex.org/W1505081061","https://openalex.org/W1573078772","https://openalex.org/W1597993550","https://openalex.org/W1988808695","https://openalex.org/W2000129083","https://openalex.org/W2003770962","https://openalex.org/W2015640848","https://openalex.org/W2031592188","https://openalex.org/W2086035610","https://openalex.org/W2107807291","https://openalex.org/W2109058602","https://openalex.org/W2112476716","https://openalex.org/W2115452397","https://openalex.org/W2133256831","https://openalex.org/W2153364044","https://openalex.org/W2163151383","https://openalex.org/W2165726630","https://openalex.org/W2170933628","https://openalex.org/W2244349542","https://openalex.org/W2250074872","https://openalex.org/W4242309855"],"related_works":[],"abstract_inverted_index":{"The":[0],"coalgebraic":[1,39],"approach":[2],"to":[3,74,85],"modal":[4,21,28],"logic":[5,123],"provides":[6],"a":[7,15],"uniform":[8],"framework":[9,47],"that":[10],"captures":[11],"the":[12,38,44,57,75,86,99,114],"semantics":[13],"of":[14,18,43,56,77,88,102,121],"large":[16],"class":[17,101],"structurally":[19],"different":[20],"logics,":[22],"including":[23],"e.g.":[24],"graded":[25],"and":[26,30,61,104,117],"probabilistic":[27,115],"logics":[29],"coalition":[31,122],"logic.":[32],"In":[33],"this":[34,68],"paper,":[35],"we":[36],"introduce":[37],"mu-calculus,":[40],"an":[41,119],"extension":[42,120],"general":[45],"(coalgebraic)":[46],"with":[48,124],"fixpoint":[49],"operators.":[50],"Our":[51,94],"main":[52],"results":[53,95],"are":[54,96],"completeness":[55],"associated":[58],"tableau":[59],"calculus":[60],"EXPTIME":[62],"decidability":[63],"for":[64,113,118],"guarded":[65],"formulas.":[66],"Technically,":[67],"is":[69,81],"achieved":[70],"by":[71],"reducing":[72],"satisfiability":[73],"existence":[76,87],"non-wellfounded":[78],"tableaux,":[79],"which":[80],"in":[82,91,98],"turn":[83],"equivalent":[84],"winning":[89],"strategies":[90],"parity":[92],"games.":[93],"parametric":[97],"underlying":[100],"models":[103],"yield,":[105],"as":[106],"concrete":[107],"applications,":[108],"previously":[109],"unknown":[110],"complexity":[111],"bounds":[112],"mu-calculus":[116],"fixpoints.":[125]},"counts_by_year":[{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":2},{"year":2013,"cited_by_count":1}],"updated_date":"2026-07-28T07:46:37.118299","created_date":"2016-06-24T00:00:00"}