{"id":"https://openalex.org/W2908513458","doi":"https://doi.org/10.29007/kfjb","title":"Efficient SAT-Based Encodings of Conditional Cardinality Constraints","display_name":"Efficient SAT-Based Encodings of Conditional Cardinality Constraints","publication_year":2018,"publication_date":"2018-10-23","ids":{"openalex":"https://openalex.org/W2908513458","doi":"https://doi.org/10.29007/kfjb","mag":"2908513458"},"language":"en","primary_location":{"id":"doi:10.29007/kfjb","is_oa":true,"landing_page_url":"https://doi.org/10.29007/kfjb","pdf_url":"https://easychair.org/publications/open/3XKD","source":{"id":"https://openalex.org/S4220651395","display_name":"EPiC series in computing","issn_l":"2398-7340","issn":["2398-7340"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"EPiC Series in Computing","raw_type":"proceedings-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://easychair.org/publications/open/3XKD","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5076675598","display_name":"Abdelhamid Boudane","orcid":null},"institutions":[{"id":"https://openalex.org/I4210115519","display_name":"Centre de Recherche en Informatique","ror":"https://ror.org/020cdve92","country_code":"FR","type":"facility","lineage":["https://openalex.org/I190752583","https://openalex.org/I2746051580","https://openalex.org/I4210091621","https://openalex.org/I4210115519","https://openalex.org/I70768539"]},{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"funder","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I44563897","display_name":"Universit\u00e9 d'Artois","ror":"https://ror.org/053x9s498","country_code":"FR","type":"education","lineage":["https://openalex.org/I44563897"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Abdelhamid Boudane","raw_affiliation_strings":["CRIL -CNRS, Artois University, Rue Jean Souvraz, SP-18, F-62307, Cedex, France","Centre de Recherche en Informatique de Lens"],"affiliations":[{"raw_affiliation_string":"CRIL -CNRS, Artois University, Rue Jean Souvraz, SP-18, F-62307, Cedex, France","institution_ids":["https://openalex.org/I44563897","https://openalex.org/I1294671590"]},{"raw_affiliation_string":"Centre de Recherche en Informatique de Lens","institution_ids":["https://openalex.org/I4210115519"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5014938618","display_name":"Sa\u00efd Jabbour","orcid":"https://orcid.org/0000-0002-8389-8332"},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"funder","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I4210115519","display_name":"Centre de Recherche en Informatique","ror":"https://ror.org/020cdve92","country_code":"FR","type":"facility","lineage":["https://openalex.org/I190752583","https://openalex.org/I2746051580","https://openalex.org/I4210091621","https://openalex.org/I4210115519","https://openalex.org/I70768539"]},{"id":"https://openalex.org/I44563897","display_name":"Universit\u00e9 d'Artois","ror":"https://ror.org/053x9s498","country_code":"FR","type":"education","lineage":["https://openalex.org/I44563897"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Said Jabbour","raw_affiliation_strings":["CRIL -CNRS, Artois University, Rue Jean Souvraz, SP-18, F-62307, Cedex, France","Centre de Recherche en Informatique de Lens"],"affiliations":[{"raw_affiliation_string":"CRIL -CNRS, Artois University, Rue Jean Souvraz, SP-18, F-62307, Cedex, France","institution_ids":["https://openalex.org/I44563897","https://openalex.org/I1294671590"]},{"raw_affiliation_string":"Centre de Recherche en Informatique de Lens","institution_ids":["https://openalex.org/I4210115519"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5003489614","display_name":"Badran Raddaoui","orcid":"https://orcid.org/0000-0003-4712-0811"},"institutions":[{"id":"https://openalex.org/I277688954","display_name":"Universit\u00e9 Paris-Saclay","ror":"https://ror.org/03xjwb503","country_code":"FR","type":"education","lineage":["https://openalex.org/I277688954"]},{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"funder","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I4210161954","display_name":"D\u00e9partement d'Informatique","ror":"https://ror.org/05y6rqs46","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I2746051580","https://openalex.org/I29607241","https://openalex.org/I4210159245","https://openalex.org/I4210161954"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Badran Raddaoui","raw_affiliation_strings":["SAMOVAR, Tlcom SudParis, CNRS, Paris-Saclay University, F-91011, Evry Cedex, France","D\u00e9partement Informatique","Centre National de la Recherche Scientifique","Algorithmes, Composants, Mod\u00e8les Et Services pour l'informatique r\u00e9partie"],"affiliations":[{"raw_affiliation_string":"SAMOVAR, Tlcom SudParis, CNRS, Paris-Saclay University, F-91011, Evry Cedex, France","institution_ids":["https://openalex.org/I277688954","https://openalex.org/I1294671590"]},{"raw_affiliation_string":"D\u00e9partement Informatique","institution_ids":["https://openalex.org/I4210161954"]},{"raw_affiliation_string":"Centre National de la Recherche Scientifique","institution_ids":["https://openalex.org/I1294671590"]},{"raw_affiliation_string":"Algorithmes, Composants, Mod\u00e8les Et Services pour l'informatique r\u00e9partie","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5037137798","display_name":"Lakhdar Sa\u00efs","orcid":"https://orcid.org/0000-0003-2879-8627"},"institutions":[{"id":"https://openalex.org/I44563897","display_name":"Universit\u00e9 d'Artois","ror":"https://ror.org/053x9s498","country_code":"FR","type":"education","lineage":["https://openalex.org/I44563897"]},{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"funder","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I4210115519","display_name":"Centre de Recherche en Informatique","ror":"https://ror.org/020cdve92","country_code":"FR","type":"facility","lineage":["https://openalex.org/I190752583","https://openalex.org/I2746051580","https://openalex.org/I4210091621","https://openalex.org/I4210115519","https://openalex.org/I70768539"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Lakhdar Sais","raw_affiliation_strings":["CRIL -CNRS, Artois University, Rue Jean Souvraz, SP-18, F-62307, Cedex, France","Centre de Recherche en Informatique de Lens"],"affiliations":[{"raw_affiliation_string":"CRIL -CNRS, Artois University, Rue Jean Souvraz, SP-18, F-62307, Cedex, France","institution_ids":["https://openalex.org/I44563897","https://openalex.org/I1294671590"]},{"raw_affiliation_string":"Centre de Recherche en Informatique de Lens","institution_ids":["https://openalex.org/I4210115519"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5076675598"],"corresponding_institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I4210115519","https://openalex.org/I44563897"],"apc_list":null,"apc_paid":null,"fwci":0.5536,"has_fulltext":true,"cited_by_count":5,"citation_normalized_percentile":{"value":0.71928069,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"57","issue":null,"first_page":"181","last_page":"165"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11596","display_name":"Constraint Satisfaction and Optimization","score":0.9988999962806702,"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"}},"topics":[{"id":"https://openalex.org/T11596","display_name":"Constraint Satisfaction and Optimization","score":0.9988999962806702,"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"}},{"id":"https://openalex.org/T11063","display_name":"Rough Sets and Fuzzy Logic","score":0.9962000250816345,"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":0.9926999807357788,"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/cardinality","display_name":"Cardinality (data modeling)","score":0.8060390949249268},{"id":"https://openalex.org/keywords/satisfiability","display_name":"Satisfiability","score":0.6862361431121826},{"id":"https://openalex.org/keywords/conjunctive-normal-form","display_name":"Conjunctive normal form","score":0.5622184872627258},{"id":"https://openalex.org/keywords/constraint","display_name":"Constraint (computer-aided design)","score":0.5539344549179077},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5133542418479919},{"id":"https://openalex.org/keywords/consistency","display_name":"Consistency (knowledge bases)","score":0.4824810326099396},{"id":"https://openalex.org/keywords/propositional-variable","display_name":"Propositional variable","score":0.4743598401546478},{"id":"https://openalex.org/keywords/local-consistency","display_name":"Local consistency","score":0.4695330858230591},{"id":"https://openalex.org/keywords/boolean-satisfiability-problem","display_name":"Boolean satisfiability problem","score":0.4446479082107544},{"id":"https://openalex.org/keywords/propositional-formula","display_name":"Propositional formula","score":0.42033421993255615},{"id":"https://openalex.org/keywords/constraint-satisfaction-problem","display_name":"Constraint satisfaction problem","score":0.40123888850212097},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.3749466836452484},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.355607271194458},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.34132474660873413},{"id":"https://openalex.org/keywords/probabilistic-logic","display_name":"Probabilistic logic","score":0.07147708535194397},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.07019898295402527}],"concepts":[{"id":"https://openalex.org/C87117476","wikidata":"https://www.wikidata.org/wiki/Q362383","display_name":"Cardinality (data modeling)","level":2,"score":0.8060390949249268},{"id":"https://openalex.org/C168773769","wikidata":"https://www.wikidata.org/wiki/Q1350299","display_name":"Satisfiability","level":2,"score":0.6862361431121826},{"id":"https://openalex.org/C16221470","wikidata":"https://www.wikidata.org/wiki/Q846564","display_name":"Conjunctive normal form","level":2,"score":0.5622184872627258},{"id":"https://openalex.org/C2776036281","wikidata":"https://www.wikidata.org/wiki/Q48769818","display_name":"Constraint (computer-aided design)","level":2,"score":0.5539344549179077},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5133542418479919},{"id":"https://openalex.org/C2776436953","wikidata":"https://www.wikidata.org/wiki/Q5163215","display_name":"Consistency (knowledge bases)","level":2,"score":0.4824810326099396},{"id":"https://openalex.org/C14523651","wikidata":"https://www.wikidata.org/wiki/Q3492863","display_name":"Propositional variable","level":4,"score":0.4743598401546478},{"id":"https://openalex.org/C137105694","wikidata":"https://www.wikidata.org/wiki/Q3407510","display_name":"Local consistency","level":4,"score":0.4695330858230591},{"id":"https://openalex.org/C6943359","wikidata":"https://www.wikidata.org/wiki/Q875276","display_name":"Boolean satisfiability problem","level":2,"score":0.4446479082107544},{"id":"https://openalex.org/C74640108","wikidata":"https://www.wikidata.org/wiki/Q1372900","display_name":"Propositional formula","level":5,"score":0.42033421993255615},{"id":"https://openalex.org/C199622910","wikidata":"https://www.wikidata.org/wiki/Q1128326","display_name":"Constraint satisfaction problem","level":3,"score":0.40123888850212097},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3749466836452484},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.355607271194458},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.34132474660873413},{"id":"https://openalex.org/C49937458","wikidata":"https://www.wikidata.org/wiki/Q2599292","display_name":"Probabilistic logic","level":2,"score":0.07147708535194397},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.07019898295402527},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C102993220","wikidata":"https://www.wikidata.org/wiki/Q387196","display_name":"Description logic","level":2,"score":0.0},{"id":"https://openalex.org/C33203268","wikidata":"https://www.wikidata.org/wiki/Q5361594","display_name":"Intermediate logic","level":3,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.29007/kfjb","is_oa":true,"landing_page_url":"https://doi.org/10.29007/kfjb","pdf_url":"https://easychair.org/publications/open/3XKD","source":{"id":"https://openalex.org/S4220651395","display_name":"EPiC series in computing","issn_l":"2398-7340","issn":["2398-7340"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"EPiC Series in Computing","raw_type":"proceedings-article"},{"id":"pmh:oai:HAL:hal-01934611v1","is_oa":false,"landing_page_url":"https://hal.science/hal-01934611","pdf_url":null,"source":{"id":"https://openalex.org/S4406922461","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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"LPAR-22 2018: 22nd International Conference on Logic for Programming Artificial Intelligence and Reasoning, Nov 2018, Awassa, Ethiopia. pp.181 - 195, &#x27E8;10.29007/kfjb&#x27E9;","raw_type":"Conference papers"}],"best_oa_location":{"id":"doi:10.29007/kfjb","is_oa":true,"landing_page_url":"https://doi.org/10.29007/kfjb","pdf_url":"https://easychair.org/publications/open/3XKD","source":{"id":"https://openalex.org/S4220651395","display_name":"EPiC series in computing","issn_l":"2398-7340","issn":["2398-7340"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"EPiC Series in Computing","raw_type":"proceedings-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2908513458.pdf","grobid_xml":"https://content.openalex.org/works/W2908513458.grobid-xml"},"referenced_works_count":18,"referenced_works":["https://openalex.org/W82625556","https://openalex.org/W407409333","https://openalex.org/W962336087","https://openalex.org/W1479859531","https://openalex.org/W1516597685","https://openalex.org/W1536736992","https://openalex.org/W1900929702","https://openalex.org/W1999997889","https://openalex.org/W2012413542","https://openalex.org/W2033274122","https://openalex.org/W2100609826","https://openalex.org/W2116758077","https://openalex.org/W2117182791","https://openalex.org/W2400708317","https://openalex.org/W2571599907","https://openalex.org/W2605807800","https://openalex.org/W4301887518","https://openalex.org/W6732364196"],"related_works":["https://openalex.org/W2022840750","https://openalex.org/W1492881020","https://openalex.org/W1859833606","https://openalex.org/W3128448798","https://openalex.org/W2373482785","https://openalex.org/W1969569184","https://openalex.org/W2060997531","https://openalex.org/W4387656450","https://openalex.org/W4298206169","https://openalex.org/W2153390672"],"abstract_inverted_index":{"In":[0,111],"the":[1,10,48,80,83,95,112,129,138,141,153,159,202],"encoding":[2,140],"of":[3,82,94,128,152,167,204],"many":[4],"real-world":[5],"problems":[6],"to":[7,19,53,59,68,75,91,123,157,177],"propositional":[8,42,57,66,109],"satisfiability,":[9],"cardinality":[11,118,125,142,196],"constraint":[12,16,34,143],"is":[13,86,106,185],"a":[14,33,39,107,117,188,199],"recurrent":[15],"that":[17,31,135],"needs":[18],"be":[20,36,175],"managed":[21],"effectively.":[22],"Several":[23],"efficient":[24],"encodings":[25,155,169],"have":[26],"been":[27],"proposed":[28,206],"while":[29],"missing":[30],"such":[32,55,120,179,194],"can":[35,174],"involved":[37],"in":[38],"more":[40],"general":[41,56],"formula.":[43],"To":[44],"avoid":[45],"combinatorial":[46],"explosion,":[47],"Tseitin":[49],"principle":[50],"usually":[51],"used":[52],"translate":[54],"formula":[58],"Conjunctive":[60],"Normal":[61],"Form":[62],"(CNF),":[63],"introduces":[64],"fresh":[65,108],"variables":[67],"represent":[69],"sub-formulas":[70],"and/or":[71],"complex":[72],"contraints.":[73],"Thanks":[74],"Plaisted":[76],"and":[77,170],"Greenbaum":[78],"improvement,":[79],"polarity":[81],"sub-formula":[84],"\u03a6":[85,101,115],"taken":[87],"into":[88],"account":[89],"leading":[90],"conditional":[92,124,195],"constraints":[93,126,197],"form":[96],"y":[97,105],"\u2192":[98,102],"\u03a6,":[99],"or":[100],"y,":[103],"where":[104,114,193],"variable.":[110],"case":[113],"represents":[116],"constraint,":[119],"translation":[121],"leads":[122],"subject":[127],"present":[130],"paper.":[131],"We":[132],"first":[133],"show":[134,171],"when":[136],"all":[137],"clauses":[139],"are":[144,198],"augmented":[145],"with":[146],"an":[147],"additional":[148],"new":[149],"variable,":[150],"most":[151],"well-known":[154],"cease":[156],"maintain":[158],"generalized":[160],"arc-consistency":[161],"property.":[162,181],"Then,":[163],"we":[164],"consider":[165],"some":[166],"these":[168],"how":[172],"they":[173],"extended":[176],"recover":[178],"important":[180],"An":[182],"experimental":[183],"validation":[184],"conducted":[186],"on":[187],"SAT-based":[189],"pattern":[190],"mining":[191],"application,":[192],"cornerstone,":[200],"showing":[201],"relevance":[203],"our":[205],"approach.":[207]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2020,"cited_by_count":3}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
