{"id":"https://openalex.org/W4237079078","doi":"https://doi.org/10.1109/lics.2017.8005122","title":"The primitivity of operators in the algebra of binary relations under conjunctions of containments","display_name":"The primitivity of operators in the algebra of binary relations under conjunctions of containments","publication_year":2017,"publication_date":"2017-06-01","ids":{"openalex":"https://openalex.org/W4237079078","doi":"https://doi.org/10.1109/lics.2017.8005122"},"language":"en","primary_location":{"id":"doi:10.1109/lics.2017.8005122","is_oa":false,"landing_page_url":"https://doi.org/10.1109/lics.2017.8005122","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2017 32nd Annual ACM/IEEE Symposium on Logic in Computer Science (LICS)","raw_type":"proceedings-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/A5005170472","display_name":"Dimitri Surinx","orcid":"https://orcid.org/0000-0003-0718-8854"},"institutions":[{"id":"https://openalex.org/I878454856","display_name":"Hasselt University","ror":"https://ror.org/04nbhqj75","country_code":"BE","type":"education","lineage":["https://openalex.org/I878454856"]}],"countries":["BE"],"is_corresponding":true,"raw_author_name":"Dimitri Surinx","raw_affiliation_strings":["Hasselt University"],"affiliations":[{"raw_affiliation_string":"Hasselt University","institution_ids":["https://openalex.org/I878454856"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5089823917","display_name":"Jan Van den Bussche","orcid":"https://orcid.org/0000-0003-0072-3252"},"institutions":[{"id":"https://openalex.org/I878454856","display_name":"Hasselt University","ror":"https://ror.org/04nbhqj75","country_code":"BE","type":"education","lineage":["https://openalex.org/I878454856"]}],"countries":["BE"],"is_corresponding":false,"raw_author_name":"Jan Van den Bussche","raw_affiliation_strings":["Hasselt University"],"affiliations":[{"raw_affiliation_string":"Hasselt University","institution_ids":["https://openalex.org/I878454856"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5110598353","display_name":"Dirk Van Gucht","orcid":null},"institutions":[{"id":"https://openalex.org/I592451","display_name":"Indiana University","ror":"https://ror.org/01kg8sb98","country_code":"US","type":"education","lineage":["https://openalex.org/I592451"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Dirk Van Gucht","raw_affiliation_strings":["Indiana University"],"affiliations":[{"raw_affiliation_string":"Indiana University","institution_ids":["https://openalex.org/I592451"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5005170472"],"corresponding_institution_ids":["https://openalex.org/I878454856"],"apc_list":null,"apc_paid":null,"fwci":0.70757605,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.74949271,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"1087","issue":null,"first_page":"1","last_page":"10"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10317","display_name":"Advanced Database Systems and Queries","score":0.9993000030517578,"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/T10317","display_name":"Advanced Database Systems and Queries","score":0.9993000030517578,"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/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.9991000294685364,"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":0.9983999729156494,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/binary-relation","display_name":"Binary relation","score":0.8010001182556152},{"id":"https://openalex.org/keywords/relation-algebra","display_name":"Relation algebra","score":0.7101585865020752},{"id":"https://openalex.org/keywords/converse","display_name":"Converse","score":0.6738685369491577},{"id":"https://openalex.org/keywords/relational-algebra","display_name":"Relational algebra","score":0.6589680910110474},{"id":"https://openalex.org/keywords/intersection","display_name":"Intersection (aeronautics)","score":0.5736135244369507},{"id":"https://openalex.org/keywords/transitive-closure","display_name":"Transitive closure","score":0.5659852623939514},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.562941312789917},{"id":"https://openalex.org/keywords/relation","display_name":"Relation (database)","score":0.49551546573638916},{"id":"https://openalex.org/keywords/closure","display_name":"Closure (psychology)","score":0.4946894347667694},{"id":"https://openalex.org/keywords/transitive-relation","display_name":"Transitive relation","score":0.49190402030944824},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.49055880308151245},{"id":"https://openalex.org/keywords/binary-operation","display_name":"Binary operation","score":0.46274736523628235},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.45461922883987427},{"id":"https://openalex.org/keywords/boolean-algebra","display_name":"Boolean algebra","score":0.44866546988487244},{"id":"https://openalex.org/keywords/projection","display_name":"Projection (relational algebra)","score":0.437799334526062},{"id":"https://openalex.org/keywords/modulo","display_name":"Modulo","score":0.4349363446235657},{"id":"https://openalex.org/keywords/element","display_name":"Element (criminal law)","score":0.4339957535266876},{"id":"https://openalex.org/keywords/two-element-boolean-algebra","display_name":"Two-element Boolean algebra","score":0.4313575029373169},{"id":"https://openalex.org/keywords/feature","display_name":"Feature (linguistics)","score":0.4281002879142761},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4028070569038391},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3234022259712219},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.29556500911712646},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.2229141891002655},{"id":"https://openalex.org/keywords/algebra-representation","display_name":"Algebra representation","score":0.1825788915157318},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.17941761016845703},{"id":"https://openalex.org/keywords/relational-database","display_name":"Relational database","score":0.13332238793373108},{"id":"https://openalex.org/keywords/database","display_name":"Database","score":0.09194821119308472},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.08248230814933777}],"concepts":[{"id":"https://openalex.org/C65180967","wikidata":"https://www.wikidata.org/wiki/Q130901","display_name":"Binary relation","level":2,"score":0.8010001182556152},{"id":"https://openalex.org/C10282146","wikidata":"https://www.wikidata.org/wiki/Q5965969","display_name":"Relation algebra","level":5,"score":0.7101585865020752},{"id":"https://openalex.org/C2776809875","wikidata":"https://www.wikidata.org/wiki/Q1375963","display_name":"Converse","level":2,"score":0.6738685369491577},{"id":"https://openalex.org/C95916125","wikidata":"https://www.wikidata.org/wiki/Q840540","display_name":"Relational algebra","level":3,"score":0.6589680910110474},{"id":"https://openalex.org/C64543145","wikidata":"https://www.wikidata.org/wiki/Q162942","display_name":"Intersection (aeronautics)","level":2,"score":0.5736135244369507},{"id":"https://openalex.org/C128896722","wikidata":"https://www.wikidata.org/wiki/Q1501387","display_name":"Transitive closure","level":2,"score":0.5659852623939514},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.562941312789917},{"id":"https://openalex.org/C25343380","wikidata":"https://www.wikidata.org/wiki/Q277521","display_name":"Relation (database)","level":2,"score":0.49551546573638916},{"id":"https://openalex.org/C146834321","wikidata":"https://www.wikidata.org/wiki/Q2979672","display_name":"Closure (psychology)","level":2,"score":0.4946894347667694},{"id":"https://openalex.org/C191399111","wikidata":"https://www.wikidata.org/wiki/Q64861","display_name":"Transitive relation","level":2,"score":0.49190402030944824},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.49055880308151245},{"id":"https://openalex.org/C185529760","wikidata":"https://www.wikidata.org/wiki/Q164307","display_name":"Binary operation","level":2,"score":0.46274736523628235},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.45461922883987427},{"id":"https://openalex.org/C39685927","wikidata":"https://www.wikidata.org/wiki/Q173183","display_name":"Boolean algebra","level":2,"score":0.44866546988487244},{"id":"https://openalex.org/C57493831","wikidata":"https://www.wikidata.org/wiki/Q3134666","display_name":"Projection (relational algebra)","level":2,"score":0.437799334526062},{"id":"https://openalex.org/C54732982","wikidata":"https://www.wikidata.org/wiki/Q1415345","display_name":"Modulo","level":2,"score":0.4349363446235657},{"id":"https://openalex.org/C200288055","wikidata":"https://www.wikidata.org/wiki/Q2621792","display_name":"Element (criminal law)","level":2,"score":0.4339957535266876},{"id":"https://openalex.org/C207764348","wikidata":"https://www.wikidata.org/wiki/Q7858706","display_name":"Two-element Boolean algebra","level":4,"score":0.4313575029373169},{"id":"https://openalex.org/C2776401178","wikidata":"https://www.wikidata.org/wiki/Q12050496","display_name":"Feature (linguistics)","level":2,"score":0.4281002879142761},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4028070569038391},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3234022259712219},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.29556500911712646},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.2229141891002655},{"id":"https://openalex.org/C14394260","wikidata":"https://www.wikidata.org/wiki/Q4723980","display_name":"Algebra representation","level":3,"score":0.1825788915157318},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.17941761016845703},{"id":"https://openalex.org/C5655090","wikidata":"https://www.wikidata.org/wiki/Q192588","display_name":"Relational database","level":2,"score":0.13332238793373108},{"id":"https://openalex.org/C77088390","wikidata":"https://www.wikidata.org/wiki/Q8513","display_name":"Database","level":1,"score":0.09194821119308472},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.08248230814933777},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0},{"id":"https://openalex.org/C146978453","wikidata":"https://www.wikidata.org/wiki/Q3798668","display_name":"Aerospace engineering","level":1,"score":0.0},{"id":"https://openalex.org/C34447519","wikidata":"https://www.wikidata.org/wiki/Q179522","display_name":"Market economy","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/lics.2017.8005122","is_oa":false,"landing_page_url":"https://doi.org/10.1109/lics.2017.8005122","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2017 32nd Annual ACM/IEEE Symposium on Logic in Computer Science (LICS)","raw_type":"proceedings-article"},{"id":"pmh:oai:documentserver.uhasselt.be:1942/25325","is_oa":false,"landing_page_url":"http://hdl.handle.net/1942/25325","pdf_url":null,"source":{"id":"https://openalex.org/S4306401926","display_name":"Document Server@UHasselt (UHasselt)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I878454856","host_organization_name":"Hasselt University","host_organization_lineage":["https://openalex.org/I878454856"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/conferenceObject"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.4699999988079071,"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":21,"referenced_works":["https://openalex.org/W891387922","https://openalex.org/W1489366126","https://openalex.org/W1508451735","https://openalex.org/W1514642181","https://openalex.org/W1580101121","https://openalex.org/W1840074037","https://openalex.org/W1998368317","https://openalex.org/W2006006495","https://openalex.org/W2018304344","https://openalex.org/W2034956447","https://openalex.org/W2118328008","https://openalex.org/W2144171837","https://openalex.org/W2148544545","https://openalex.org/W2159701549","https://openalex.org/W2162834483","https://openalex.org/W2406189855","https://openalex.org/W2545449716","https://openalex.org/W2658699200","https://openalex.org/W2962721563","https://openalex.org/W4301791419","https://openalex.org/W7023738980"],"related_works":["https://openalex.org/W4235524717","https://openalex.org/W2059636834","https://openalex.org/W2069597938","https://openalex.org/W2089781037","https://openalex.org/W3006496683","https://openalex.org/W4237079078","https://openalex.org/W2742509483","https://openalex.org/W2087515863","https://openalex.org/W2230210232","https://openalex.org/W4388396711"],"abstract_inverted_index":{"The":[0,30],"algebra":[1,32],"of":[2,70,106],"binary":[3,64],"relations":[4],"provides":[5],"union":[6,20],"and":[7,21,53],"composition":[8],"as":[9,16,25,67],"basic":[10,31],"operators,":[11],"with":[12,36],"the":[13,22,41,44,82,86,110],"empty":[14],"set":[15,48],"neutral":[17,26],"element":[18,27],"for":[19,28],"identity":[23],"relation":[24],"composition.":[29],"can":[33],"be":[34,95],"enriched":[35],"additional":[37],"features.":[38],"We":[39,72],"consider":[40],"diversity":[42],"relation,":[43,46],"full":[45],"intersection,":[47],"difference,":[49],"projection,":[50],"coprojection,":[51],"converse,":[52],"transitive":[54],"closure.":[55],"It":[56],"is":[57,100,114],"customary":[58],"to":[59,94],"express":[60],"boolean":[61,92],"queries":[62,93],"on":[63],"relational":[65],"structures":[66],"finite":[68,104],"conjunctions":[69],"containments.":[71],"investigate":[73],"which":[74],"features":[75],"are":[76],"primitive":[77],"in":[78,81],"this":[79],"setting,":[80],"sense":[83],"that":[84],"omitting":[85],"feature":[87,113],"would":[88],"allow":[89],"strictly":[90],"less":[91],"expressible.":[96],"Our":[97],"main":[98],"result":[99],"that,":[101],"modulo":[102],"a":[103],"list":[105],"elementary":[107],"interdependencies":[108],"among":[109],"features,":[111],"every":[112],"indeed":[115],"primitive.":[116]},"counts_by_year":[{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":1}],"updated_date":"2026-02-09T09:26:11.010843","created_date":"2025-10-10T00:00:00"}