{"id":"https://openalex.org/W2971244387","doi":"https://doi.org/10.1093/jigpal/jzz025","title":"Clause tableaux for maximum and minimum satisfiability","display_name":"Clause tableaux for maximum and minimum satisfiability","publication_year":2019,"publication_date":"2019-06-12","ids":{"openalex":"https://openalex.org/W2971244387","doi":"https://doi.org/10.1093/jigpal/jzz025","mag":"2971244387"},"language":"en","primary_location":{"id":"doi:10.1093/jigpal/jzz025","is_oa":false,"landing_page_url":"https://doi.org/10.1093/jigpal/jzz025","pdf_url":null,"source":{"id":"https://openalex.org/S2734381524","display_name":"Logic Journal of IGPL","issn_l":"1367-0751","issn":["1367-0751","1368-9894"],"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":"Logic Journal of the IGPL","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://hal.science/hal-04320635","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5070784397","display_name":"Josep Argelich","orcid":"https://orcid.org/0000-0003-4089-6422"},"institutions":[{"id":"https://openalex.org/I15766328","display_name":"Universitat de Lleida","ror":"https://ror.org/050c3cw24","country_code":"ES","type":"education","lineage":["https://openalex.org/I15766328"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Josep Argelich","raw_affiliation_strings":["Departament d' Inform\u00e0tica i Enginyeria Industrial (DIEI), Universitat de Lleida, 25001 Lleida, Spain"],"affiliations":[{"raw_affiliation_string":"Departament d' Inform\u00e0tica i Enginyeria Industrial (DIEI), Universitat de Lleida, 25001 Lleida, Spain","institution_ids":["https://openalex.org/I15766328"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5107369625","display_name":"Chu Min Li","orcid":null},"institutions":[{"id":"https://openalex.org/I4401200318","display_name":"Mod\u00e9lisation, information et syst\u00e8mes","ror":"https://ror.org/05w9qrp28","country_code":"FR","type":"facility","lineage":["https://openalex.org/I4401200318","https://openalex.org/I4647051"]},{"id":"https://openalex.org/I4647051","display_name":"Universit\u00e9 de Picardie Jules Verne","ror":"https://ror.org/01gyxrk03","country_code":"FR","type":"education","lineage":["https://openalex.org/I4647051"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Chu Min Li","raw_affiliation_strings":["MIS, Universit\u00e9 de Picardie Jules Verne, 80039 Amiens, France"],"affiliations":[{"raw_affiliation_string":"MIS, Universit\u00e9 de Picardie Jules Verne, 80039 Amiens, France","institution_ids":["https://openalex.org/I4401200318","https://openalex.org/I4647051"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5061148416","display_name":"Felip Many\u00e0","orcid":"https://orcid.org/0000-0002-8366-1458"},"institutions":[{"id":"https://openalex.org/I4210131846","display_name":"Artificial Intelligence Research Institute","ror":"https://ror.org/03c0ach84","country_code":"ES","type":"facility","lineage":["https://openalex.org/I134820265","https://openalex.org/I4210131846"]}],"countries":["ES"],"is_corresponding":true,"raw_author_name":"Felip Many\u00e0","raw_affiliation_strings":["Artificial Intelligence Research Institute (IIIA, CSIC), 08193 Bellaterra, Spain"],"affiliations":[{"raw_affiliation_string":"Artificial Intelligence Research Institute (IIIA, CSIC), 08193 Bellaterra, Spain","institution_ids":["https://openalex.org/I4210131846"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5066236354","display_name":"Joan Ramon Soler","orcid":"https://orcid.org/0009-0002-9304-6245"},"institutions":[{"id":"https://openalex.org/I4210131846","display_name":"Artificial Intelligence Research Institute","ror":"https://ror.org/03c0ach84","country_code":"ES","type":"facility","lineage":["https://openalex.org/I134820265","https://openalex.org/I4210131846"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Joan Ramon Soler","raw_affiliation_strings":["Artificial Intelligence Research Institute (IIIA, CSIC), 08193 Bellaterra, Spain"],"affiliations":[{"raw_affiliation_string":"Artificial Intelligence Research Institute (IIIA, CSIC), 08193 Bellaterra, Spain","institution_ids":["https://openalex.org/I4210131846"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5061148416"],"corresponding_institution_ids":["https://openalex.org/I4210131846"],"apc_list":{"value":4151,"currency":"USD","value_usd":4151},"apc_paid":null,"fwci":1.5966,"has_fulltext":false,"cited_by_count":12,"citation_normalized_percentile":{"value":0.85442779,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"29","issue":"1","first_page":"7","last_page":"27"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10142","display_name":"Formal Methods in Verification","score":0.9983999729156494,"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":0.9983999729156494,"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":0.9958999752998352,"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/T11596","display_name":"Constraint Satisfaction and Optimization","score":0.995199978351593,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/soundness","display_name":"Soundness","score":0.9324173927307129},{"id":"https://openalex.org/keywords/completeness","display_name":"Completeness (order theory)","score":0.7805341482162476},{"id":"https://openalex.org/keywords/maximum-satisfiability-problem","display_name":"Maximum satisfiability problem","score":0.7720308303833008},{"id":"https://openalex.org/keywords/satisfiability","display_name":"Satisfiability","score":0.64974445104599},{"id":"https://openalex.org/keywords/boolean-satisfiability-problem","display_name":"Boolean satisfiability problem","score":0.6008198261260986},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.563976526260376},{"id":"https://openalex.org/keywords/inference","display_name":"Inference","score":0.4482635259628296},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3935803174972534},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3419950604438782},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3293852210044861},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.32352638244628906},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.11604040861129761},{"id":"https://openalex.org/keywords/boolean-function","display_name":"Boolean function","score":0.10398536920547485},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.08126908540725708}],"concepts":[{"id":"https://openalex.org/C39920170","wikidata":"https://www.wikidata.org/wiki/Q693083","display_name":"Soundness","level":2,"score":0.9324173927307129},{"id":"https://openalex.org/C17231256","wikidata":"https://www.wikidata.org/wiki/Q5156540","display_name":"Completeness (order theory)","level":2,"score":0.7805341482162476},{"id":"https://openalex.org/C111797529","wikidata":"https://www.wikidata.org/wiki/Q17080584","display_name":"Maximum satisfiability problem","level":3,"score":0.7720308303833008},{"id":"https://openalex.org/C168773769","wikidata":"https://www.wikidata.org/wiki/Q1350299","display_name":"Satisfiability","level":2,"score":0.64974445104599},{"id":"https://openalex.org/C6943359","wikidata":"https://www.wikidata.org/wiki/Q875276","display_name":"Boolean satisfiability problem","level":2,"score":0.6008198261260986},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.563976526260376},{"id":"https://openalex.org/C2776214188","wikidata":"https://www.wikidata.org/wiki/Q408386","display_name":"Inference","level":2,"score":0.4482635259628296},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3935803174972534},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3419950604438782},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3293852210044861},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.32352638244628906},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.11604040861129761},{"id":"https://openalex.org/C187455244","wikidata":"https://www.wikidata.org/wiki/Q942353","display_name":"Boolean function","level":2,"score":0.10398536920547485},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.08126908540725708},{"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/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1093/jigpal/jzz025","is_oa":false,"landing_page_url":"https://doi.org/10.1093/jigpal/jzz025","pdf_url":null,"source":{"id":"https://openalex.org/S2734381524","display_name":"Logic Journal of IGPL","issn_l":"1367-0751","issn":["1367-0751","1368-9894"],"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":"Logic Journal of the IGPL","raw_type":"journal-article"},{"id":"pmh:oai:HAL:hal-03636409v1","is_oa":false,"landing_page_url":"https://u-picardie.hal.science/hal-03636409","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Logic Journal of the IGPL, 2021, 29 (1), pp.7-27. ⟨10.1093/jigpal/jzz025⟩","raw_type":"Journal articles"},{"id":"pmh:oai:HAL:hal-04320635v1","is_oa":true,"landing_page_url":"https://hal.science/hal-04320635","pdf_url":null,"source":{"id":"https://openalex.org/S4406922466","display_name":"SPIRE - Sciences Po Institutional REpository","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":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Logic Journal of the IGPL, 2019, 29, pp.7 - 27. ⟨10.1093/jigpal/jzz025⟩","raw_type":"Journal articles"},{"id":"pmh:oai:digital.csic.es:10261/253030","is_oa":false,"landing_page_url":"http://hdl.handle.net/10261/253030","pdf_url":null,"source":{"id":"https://openalex.org/S4306400616","display_name":"DIGITAL.CSIC (Spanish National Research Council (CSIC))","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I134820265","host_organization_name":"Consejo Superior de Investigaciones Cient\u00edficas","host_organization_lineage":["https://openalex.org/I134820265"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"art\u00edculo"}],"best_oa_location":{"id":"pmh:oai:HAL:hal-04320635v1","is_oa":true,"landing_page_url":"https://hal.science/hal-04320635","pdf_url":null,"source":{"id":"https://openalex.org/S4406922466","display_name":"SPIRE - Sciences Po Institutional REpository","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":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Logic Journal of the IGPL, 2019, 29, pp.7 - 27. ⟨10.1093/jigpal/jzz025⟩","raw_type":"Journal articles"},"sustainable_development_goals":[{"score":0.44999998807907104,"id":"https://metadata.un.org/sdg/16","display_name":"Peace, Justice and strong institutions"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":35,"referenced_works":["https://openalex.org/W37002918","https://openalex.org/W37537225","https://openalex.org/W153078869","https://openalex.org/W1511652686","https://openalex.org/W1536217426","https://openalex.org/W1554618854","https://openalex.org/W1775352280","https://openalex.org/W1863234917","https://openalex.org/W1951141208","https://openalex.org/W1952747621","https://openalex.org/W2027945171","https://openalex.org/W2045794350","https://openalex.org/W2057361103","https://openalex.org/W2062042359","https://openalex.org/W2140138589","https://openalex.org/W2154352023","https://openalex.org/W2171802366","https://openalex.org/W2257229066","https://openalex.org/W2322754705","https://openalex.org/W2403824214","https://openalex.org/W2752537240","https://openalex.org/W2776836749","https://openalex.org/W2796386476","https://openalex.org/W3104044769","https://openalex.org/W4206807714","https://openalex.org/W6601493983","https://openalex.org/W6608267591","https://openalex.org/W6631927160","https://openalex.org/W6632264222","https://openalex.org/W6634150862","https://openalex.org/W6690963167","https://openalex.org/W6731893594","https://openalex.org/W6755895506","https://openalex.org/W6843871660","https://openalex.org/W6844871003"],"related_works":["https://openalex.org/W2408080066","https://openalex.org/W2394616262","https://openalex.org/W192406999","https://openalex.org/W2406837904","https://openalex.org/W3152212242","https://openalex.org/W2014111643","https://openalex.org/W2102364390","https://openalex.org/W1913543287","https://openalex.org/W2336941104","https://openalex.org/W3120153087"],"abstract_inverted_index":{"Abstract":[0],"The":[1],"inference":[2],"systems":[3],"proposed":[4],"for":[5,10,44,59,76],"solving":[6,11,77],"SAT":[7],"are":[8],"unsound":[9],"MaxSAT":[12,45,79,94],"and":[13,23,46,50,61,66,80,96],"MinSAT,":[14,81],"because":[15],"they":[16],"preserve":[17],"satisfiability":[18],"but":[19],"not":[20],"the":[21,84,97],"minimum":[22,85],"maximum":[24,98],"number":[25,86,99],"of":[26,87],"clauses":[27,90],"that":[28,83],"can":[29],"be":[30],"falsified,":[31],"respectively.":[32],"To":[33],"address":[34],"this":[35],"problem,":[36],"we":[37,69],"first":[38],"define":[39,54,70],"a":[40,55,71],"clause":[41,56,73],"tableau":[42,57,74],"calculus":[43,58,75],"prove":[47,63],"its":[48,64],"soundness":[49,65],"completeness.":[51,67],"We":[52],"then":[53],"MinSAT":[60,103],"also":[62],"Finally,":[68],"complete":[72],"both":[78],"in":[82],"generated":[88],"empty":[89],"provides":[91,100],"an":[92,101],"optimal":[93,102],"solution":[95],"solution.":[104]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":2}],"updated_date":"2026-03-20T23:20:44.827607","created_date":"2025-10-10T00:00:00"}