{"id":"https://openalex.org/W4387614666","doi":"https://doi.org/10.1093/logcom/exad059","title":"Polyhedral semantics and the tractable approximation of \u0141ukasiewicz infinitely-valued logic","display_name":"Polyhedral semantics and the tractable approximation of \u0141ukasiewicz infinitely-valued logic","publication_year":2023,"publication_date":"2023-10-13","ids":{"openalex":"https://openalex.org/W4387614666","doi":"https://doi.org/10.1093/logcom/exad059"},"language":"en","primary_location":{"id":"doi:10.1093/logcom/exad059","is_oa":false,"landing_page_url":"https://doi.org/10.1093/logcom/exad059","pdf_url":null,"source":{"id":"https://openalex.org/S47057106","display_name":"Journal of Logic and Computation","issn_l":"0955-792X","issn":["0955-792X","1465-363X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311648","host_organization_name":"Oxford University Press","host_organization_lineage":["https://openalex.org/P4310311648","https://openalex.org/P4310311647"],"host_organization_lineage_names":["Oxford University Press","University of Oxford"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Logic and Computation","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/A5024395125","display_name":"Marcelo Finger","orcid":"https://orcid.org/0000-0002-1391-1175"},"institutions":[{"id":"https://openalex.org/I17974374","display_name":"Universidade de S\u00e3o Paulo","ror":"https://ror.org/036rp1748","country_code":"BR","type":"education","lineage":["https://openalex.org/I17974374"]},{"id":"https://openalex.org/I4210092357","display_name":"Institute of Mathematics and Computer Science","ror":"https://ror.org/00fy4at53","country_code":"MD","type":"facility","lineage":["https://openalex.org/I112090838","https://openalex.org/I4210092357"]}],"countries":["BR","MD"],"is_corresponding":false,"raw_author_name":"Marcelo Finger","raw_affiliation_strings":["Institute of Mathematics and Statistics , University of S\u00e3o Paulo, S\u00e3o Paulo, 05508-090,","Institute of Mathematics and Statistics , University of S\u00e3o Paulo, S\u00e3o Paulo, 05508-090, Brazil"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Mathematics and Statistics , University of S\u00e3o Paulo, S\u00e3o Paulo, 05508-090,","institution_ids":["https://openalex.org/I4210092357","https://openalex.org/I17974374"]},{"raw_affiliation_string":"Institute of Mathematics and Statistics , University of S\u00e3o Paulo, S\u00e3o Paulo, 05508-090, Brazil","institution_ids":["https://openalex.org/I17974374"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5028358997","display_name":"Sandro Preto","orcid":"https://orcid.org/0000-0003-4448-5364"},"institutions":[{"id":"https://openalex.org/I17974374","display_name":"Universidade de S\u00e3o Paulo","ror":"https://ror.org/036rp1748","country_code":"BR","type":"education","lineage":["https://openalex.org/I17974374"]},{"id":"https://openalex.org/I4210092357","display_name":"Institute of Mathematics and Computer Science","ror":"https://ror.org/00fy4at53","country_code":"MD","type":"facility","lineage":["https://openalex.org/I112090838","https://openalex.org/I4210092357"]}],"countries":["BR","MD"],"is_corresponding":false,"raw_author_name":"Sandro Preto","raw_affiliation_strings":["Institute of Mathematics and Statistics , University of S\u00e3o Paulo, S\u00e3o Paulo, 05508-090,","Institute of Mathematics and Statistics , University of S\u00e3o Paulo, S\u00e3o Paulo, 05508-090, Brazil"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Mathematics and Statistics , University of S\u00e3o Paulo, S\u00e3o Paulo, 05508-090,","institution_ids":["https://openalex.org/I4210092357","https://openalex.org/I17974374"]},{"raw_affiliation_string":"Institute of Mathematics and Statistics , University of S\u00e3o Paulo, S\u00e3o Paulo, 05508-090, Brazil","institution_ids":["https://openalex.org/I17974374"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":4151,"currency":"USD","value_usd":4151},"apc_paid":null,"fwci":0.3719,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.65366049,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"35","issue":"5","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"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"}},"topics":[{"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/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.9994999766349792,"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/T11063","display_name":"Rough Sets and Fuzzy Logic","score":0.9986000061035156,"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/propositional-calculus","display_name":"Propositional calculus","score":0.5625252723693848},{"id":"https://openalex.org/keywords/semantics","display_name":"Semantics (computer science)","score":0.5449815988540649},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.49656015634536743},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4739116430282593},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.39386212825775146},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.37158748507499695},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.33191928267478943},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.17686420679092407},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.1665736734867096}],"concepts":[{"id":"https://openalex.org/C69562738","wikidata":"https://www.wikidata.org/wiki/Q200694","display_name":"Propositional calculus","level":2,"score":0.5625252723693848},{"id":"https://openalex.org/C184337299","wikidata":"https://www.wikidata.org/wiki/Q1437428","display_name":"Semantics (computer science)","level":2,"score":0.5449815988540649},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.49656015634536743},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4739116430282593},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.39386212825775146},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.37158748507499695},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.33191928267478943},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.17686420679092407},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.1665736734867096}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1093/logcom/exad059","is_oa":false,"landing_page_url":"https://doi.org/10.1093/logcom/exad059","pdf_url":null,"source":{"id":"https://openalex.org/S47057106","display_name":"Journal of Logic and Computation","issn_l":"0955-792X","issn":["0955-792X","1465-363X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311648","host_organization_name":"Oxford University Press","host_organization_lineage":["https://openalex.org/P4310311648","https://openalex.org/P4310311647"],"host_organization_lineage_names":["Oxford University Press","University of Oxford"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Logic and Computation","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Peace, Justice and strong institutions","score":0.7799999713897705,"id":"https://metadata.un.org/sdg/16"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":22,"referenced_works":["https://openalex.org/W1579757812","https://openalex.org/W1977670033","https://openalex.org/W1977750248","https://openalex.org/W1989632075","https://openalex.org/W2011992362","https://openalex.org/W2012072427","https://openalex.org/W2016515719","https://openalex.org/W2041848570","https://openalex.org/W2077925882","https://openalex.org/W2087171264","https://openalex.org/W2140165121","https://openalex.org/W2214462370","https://openalex.org/W2242790379","https://openalex.org/W2608239929","https://openalex.org/W2835394801","https://openalex.org/W4226188386","https://openalex.org/W4381251753","https://openalex.org/W4381894207","https://openalex.org/W4381894531","https://openalex.org/W6602532367","https://openalex.org/W6633735853","https://openalex.org/W6941288306"],"related_works":["https://openalex.org/W2051487156","https://openalex.org/W2073681303","https://openalex.org/W2544423928","https://openalex.org/W2052122378","https://openalex.org/W2053286651","https://openalex.org/W2181743346","https://openalex.org/W2187401768","https://openalex.org/W2181413294","https://openalex.org/W2989452537","https://openalex.org/W4313731559"],"abstract_inverted_index":{"Abstract":[0],"In":[1],"this":[2,40],"work,":[3],"we":[4,31],"present":[5],"polyhedral":[6,86],"semantics":[7,87],"as":[8,52],"a":[9,43,62,68],"means":[10],"to":[11,34,35,61],"tractably":[12],"approximate":[13],"\u0141ukasiewicz":[14],"infinitely-valued":[15],"logic":[16,25,82],"(\u0141\u221e).":[17],"As":[18],"\u0141\u221e":[19],"is":[20,29,59],"an":[21,37,92],"expressive":[22],"multivalued":[23,46],"propositional":[24],"whose":[26],"decision":[27],"problem":[28,41],"NP-complete,":[30],"show":[32],"how":[33],"obtain":[36],"approximation":[38,96],"for":[39,94],"providing":[42,67],"family":[44,58],"of":[45,56,71,80,91],"logics":[47],"over":[48],"the":[49,57,81,89,95],"same":[50],"language":[51],"\u0141\u221e.":[53],"Each":[54],"element":[55],"associated":[60],"polynomial-time":[63],"linear":[64],"program,":[65],"thus":[66],"tractable":[69],"way":[70],"deciding":[72],"each":[73],"intermediate":[74],"step.":[75],"We":[76],"also":[77],"investigate":[78],"properties":[79],"system":[83],"derived":[84],"from":[85],"and":[88],"details":[90],"algorithm":[93],"process.":[97]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2024,"cited_by_count":1}],"updated_date":"2026-06-13T07:54:00.901334","created_date":"2025-10-10T00:00:00"}