{"id":"https://openalex.org/W45978246","doi":"https://doi.org/10.5591/978-1-57735-516-8/ijcai11-136","title":"Finite-valued Lukasiewicz modal logic Is PSPACE-complete","display_name":"Finite-valued Lukasiewicz modal logic Is PSPACE-complete","publication_year":2011,"publication_date":"2011-07-16","ids":{"openalex":"https://openalex.org/W45978246","doi":"https://doi.org/10.5591/978-1-57735-516-8/ijcai11-136","mag":"45978246"},"language":"en","primary_location":{"id":"mag:45978246","is_oa":false,"landing_page_url":"https://www.ijcai.org/papers11/Papers/IJCAI11-136.pdf","pdf_url":null,"source":{"id":"https://openalex.org/S4306419999","display_name":"International Joint Conference on Artificial Intelligence","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":"conference"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":"International Joint Conference on Artificial Intelligence","raw_type":null},"type":"conference-paper","indexed_in":[],"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/A5025834328","display_name":"F\u00e9lix Bou","orcid":null},"institutions":[{"id":"https://openalex.org/I71999127","display_name":"Universitat de Barcelona","ror":"https://ror.org/021018s57","country_code":"ES","type":"education","lineage":["https://openalex.org/I71999127"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"F\u00e9lix Bou","raw_affiliation_strings":["[University of Barcelona, Barcelona, Spain]"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"[University of Barcelona, Barcelona, Spain]","institution_ids":["https://openalex.org/I71999127"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5065693171","display_name":"Marco Cerami","orcid":"https://orcid.org/0000-0001-5367-2757"},"institutions":[{"id":"https://openalex.org/I134820265","display_name":"Consejo Superior de Investigaciones Cient\u00edficas","ror":"https://ror.org/02gfc7t72","country_code":"ES","type":"government","lineage":["https://openalex.org/I134820265"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Marco Cerami","raw_affiliation_strings":["IIIA-CSIC,Bellaterra,Spain"],"raw_orcid":"https://orcid.org/0000-0001-5367-2757","affiliations":[{"raw_affiliation_string":"IIIA-CSIC,Bellaterra,Spain","institution_ids":["https://openalex.org/I134820265"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5086317940","display_name":"Francesc Esteva","orcid":"https://orcid.org/0000-0003-4466-3298"},"institutions":[{"id":"https://openalex.org/I134820265","display_name":"Consejo Superior de Investigaciones Cient\u00edficas","ror":"https://ror.org/02gfc7t72","country_code":"ES","type":"government","lineage":["https://openalex.org/I134820265"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Francesc Esteva","raw_affiliation_strings":["IIIA-CSIC,Bellaterra,Spain"],"raw_orcid":"https://orcid.org/0000-0003-4466-3298","affiliations":[{"raw_affiliation_string":"IIIA-CSIC,Bellaterra,Spain","institution_ids":["https://openalex.org/I134820265"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":2.9675,"has_fulltext":false,"cited_by_count":21,"citation_normalized_percentile":{"value":0.91793976,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":null,"issue":null,"first_page":"774","last_page":"779"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.9998999834060669,"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":0.9998999834060669,"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/T11727","display_name":"Advanced Algebra and Logic","score":0.9998999834060669,"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/T11063","display_name":"Rough Sets and Fuzzy Logic","score":0.9958999752998352,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/pspace","display_name":"PSPACE","score":0.7732125520706177},{"id":"https://openalex.org/keywords/modal-logic","display_name":"Modal logic","score":0.7530460357666016},{"id":"https://openalex.org/keywords/satisfiability","display_name":"Satisfiability","score":0.6504524946212769},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5372189879417419},{"id":"https://openalex.org/keywords/boolean-satisfiability-problem","display_name":"Boolean satisfiability problem","score":0.5292529463768005},{"id":"https://openalex.org/keywords/modal-\u03bc-calculus","display_name":"Modal \u03bc-calculus","score":0.5151035189628601},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.48509156703948975},{"id":"https://openalex.org/keywords/accessibility-relation","display_name":"Accessibility relation","score":0.47812381386756897},{"id":"https://openalex.org/keywords/normal-modal-logic","display_name":"Normal modal logic","score":0.472027450799942},{"id":"https://openalex.org/keywords/dynamic-logic","display_name":"Dynamic logic (digital electronics)","score":0.4555432200431824},{"id":"https://openalex.org/keywords/multimodal-logic","display_name":"Multimodal logic","score":0.43143728375434875},{"id":"https://openalex.org/keywords/modal-operator","display_name":"Modal operator","score":0.43137481808662415},{"id":"https://openalex.org/keywords/modal","display_name":"Modal","score":0.41918954253196716},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3543739318847656},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.3450850248336792},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3238341212272644},{"id":"https://openalex.org/keywords/computational-complexity-theory","display_name":"Computational complexity theory","score":0.3190503418445587},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3112524449825287},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.2417445182800293},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.14234060049057007},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.0680074393749237},{"id":"https://openalex.org/keywords/description-logic","display_name":"Description logic","score":0.0604003369808197}],"concepts":[{"id":"https://openalex.org/C197685441","wikidata":"https://www.wikidata.org/wiki/Q500716","display_name":"PSPACE","level":3,"score":0.7732125520706177},{"id":"https://openalex.org/C27508121","wikidata":"https://www.wikidata.org/wiki/Q210841","display_name":"Modal logic","level":3,"score":0.7530460357666016},{"id":"https://openalex.org/C168773769","wikidata":"https://www.wikidata.org/wiki/Q1350299","display_name":"Satisfiability","level":2,"score":0.6504524946212769},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5372189879417419},{"id":"https://openalex.org/C6943359","wikidata":"https://www.wikidata.org/wiki/Q875276","display_name":"Boolean satisfiability problem","level":2,"score":0.5292529463768005},{"id":"https://openalex.org/C173125200","wikidata":"https://www.wikidata.org/wiki/Q5275729","display_name":"Modal \u03bc-calculus","level":5,"score":0.5151035189628601},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.48509156703948975},{"id":"https://openalex.org/C11191006","wikidata":"https://www.wikidata.org/wiki/Q2663311","display_name":"Accessibility relation","level":4,"score":0.47812381386756897},{"id":"https://openalex.org/C114092440","wikidata":"https://www.wikidata.org/wiki/Q840226","display_name":"Normal modal logic","level":4,"score":0.472027450799942},{"id":"https://openalex.org/C2777796570","wikidata":"https://www.wikidata.org/wiki/Q2351326","display_name":"Dynamic logic (digital electronics)","level":4,"score":0.4555432200431824},{"id":"https://openalex.org/C203659156","wikidata":"https://www.wikidata.org/wiki/Q6934805","display_name":"Multimodal logic","level":3,"score":0.43143728375434875},{"id":"https://openalex.org/C78344899","wikidata":"https://www.wikidata.org/wiki/Q638442","display_name":"Modal operator","level":4,"score":0.43137481808662415},{"id":"https://openalex.org/C71139939","wikidata":"https://www.wikidata.org/wiki/Q910194","display_name":"Modal","level":2,"score":0.41918954253196716},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3543739318847656},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3450850248336792},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3238341212272644},{"id":"https://openalex.org/C179799912","wikidata":"https://www.wikidata.org/wiki/Q205084","display_name":"Computational complexity theory","level":2,"score":0.3190503418445587},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3112524449825287},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.2417445182800293},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.14234060049057007},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0680074393749237},{"id":"https://openalex.org/C102993220","wikidata":"https://www.wikidata.org/wiki/Q387196","display_name":"Description logic","level":2,"score":0.0604003369808197},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C172385210","wikidata":"https://www.wikidata.org/wiki/Q5339","display_name":"Transistor","level":3,"score":0.0},{"id":"https://openalex.org/C165801399","wikidata":"https://www.wikidata.org/wiki/Q25428","display_name":"Voltage","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"mag:45978246","is_oa":false,"landing_page_url":"https://www.ijcai.org/papers11/Papers/IJCAI11-136.pdf","pdf_url":null,"source":{"id":"https://openalex.org/S4306419999","display_name":"International Joint Conference on Artificial Intelligence","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":"conference"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":"International Joint Conference on Artificial Intelligence","raw_type":null}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":11,"referenced_works":["https://openalex.org/W80737574","https://openalex.org/W1555563750","https://openalex.org/W1566552629","https://openalex.org/W1599662011","https://openalex.org/W1788728865","https://openalex.org/W1969724379","https://openalex.org/W2033088754","https://openalex.org/W2073491323","https://openalex.org/W2107849535","https://openalex.org/W2110182592","https://openalex.org/W2610670723"],"related_works":["https://openalex.org/W2033088754","https://openalex.org/W2110182592","https://openalex.org/W2125067149","https://openalex.org/W2171279236","https://openalex.org/W2157732093","https://openalex.org/W2132635174","https://openalex.org/W2406923121","https://openalex.org/W2152774062","https://openalex.org/W2101556477","https://openalex.org/W167420388","https://openalex.org/W2133348366","https://openalex.org/W2095768683","https://openalex.org/W1969724379","https://openalex.org/W80737574","https://openalex.org/W2103444877","https://openalex.org/W2048742358","https://openalex.org/W1558260377","https://openalex.org/W77205158","https://openalex.org/W58862380","https://openalex.org/W37022969"],"abstract_inverted_index":{"It":[0],"is":[1,14,55,76],"well-known":[2],"that":[3,48],"satisfiability":[4,24],"(and":[5],"hence":[6],"validity)":[7],"in":[8,67,71],"the":[9,23,37,61,68],"minimal":[10,38],"classical":[11],"modal":[12,39],"logic":[13,40],"a":[15,42],"PSPACE-complete":[16],"problem.":[17],"In":[18],"this":[19],"paper":[20],"we":[21],"consider":[22],"and":[25,46],"validity":[26],"problems":[27],"(here":[28],"they":[29,49],"are":[30,51],"not":[31],"dual,":[32],"although":[33],"mutually":[34],"reducible)":[35],"for":[36],"over":[41],"finite":[43],"Lukasiewicz":[44],"chain,":[45],"show":[47],"also":[50,56],"PSPACE-complete.":[52,77],"This":[53],"result":[54],"true":[57],"when":[58],"adding":[59],"either":[60],"Delta":[62],"operator":[63],"or":[64],"truth":[65],"constants":[66],"language,":[69],"i.e.":[70],"all":[72],"these":[73],"cases":[74],"it":[75]},"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":5},{"year":2015,"cited_by_count":3},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":4},{"year":2012,"cited_by_count":4}],"updated_date":"2026-07-29T14:22:42.915294","created_date":"2025-10-10T00:00:00"}
