{"id":"https://openalex.org/W4415903228","doi":"https://doi.org/10.24963/kr.2025/20","title":"Finite Axiomatizability by Disjunctive Existential Rules","display_name":"Finite Axiomatizability by Disjunctive Existential Rules","publication_year":2025,"publication_date":"2025-11-01","ids":{"openalex":"https://openalex.org/W4415903228","doi":"https://doi.org/10.24963/kr.2025/20"},"language":"en","primary_location":{"id":"doi:10.24963/kr.2025/20","is_oa":true,"landing_page_url":"https://doi.org/10.24963/kr.2025/20","pdf_url":"https://proceedings.kr.org/2025/20/kr2025-0020-calautti-et-al.pdf","source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the TwentySecond International Conference on Principles of Knowledge Representation and Reasoning","raw_type":"proceedings-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://proceedings.kr.org/2025/20/kr2025-0020-calautti-et-al.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5066005299","display_name":"Marco Calautti","orcid":"https://orcid.org/0000-0003-0921-4040"},"institutions":[{"id":"https://openalex.org/I189158943","display_name":"University of Milan","ror":"https://ror.org/00wjc7c48","country_code":"IT","type":"education","lineage":["https://openalex.org/I189158943"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"Marco Calautti","raw_affiliation_strings":["University of Milano"],"affiliations":[{"raw_affiliation_string":"University of Milano","institution_ids":["https://openalex.org/I189158943"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5069002162","display_name":"Marco Console","orcid":"https://orcid.org/0009-0004-5526-019X"},"institutions":[{"id":"https://openalex.org/I861853513","display_name":"Sapienza University of Rome","ror":"https://ror.org/02be6w209","country_code":"IT","type":"education","lineage":["https://openalex.org/I861853513"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Marco Console","raw_affiliation_strings":["Sapienza, University of Rome"],"affiliations":[{"raw_affiliation_string":"Sapienza, University of Rome","institution_ids":["https://openalex.org/I861853513"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5067962748","display_name":"Andr\u00e9as Pieris","orcid":"https://orcid.org/0000-0003-4779-3469"},"institutions":[{"id":"https://openalex.org/I34771391","display_name":"University of Cyprus","ror":"https://ror.org/02qjrjx09","country_code":"CY","type":"education","lineage":["https://openalex.org/I34771391"]},{"id":"https://openalex.org/I98677209","display_name":"University of Edinburgh","ror":"https://ror.org/01nrxwf90","country_code":"GB","type":"education","lineage":["https://openalex.org/I98677209"]}],"countries":["CY","GB"],"is_corresponding":false,"raw_author_name":"Andreas Pieris","raw_affiliation_strings":["University of Cyprus","University of Edinburgh"],"affiliations":[{"raw_affiliation_string":"University of Cyprus","institution_ids":["https://openalex.org/I34771391"]},{"raw_affiliation_string":"University of Edinburgh","institution_ids":["https://openalex.org/I98677209"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5066005299"],"corresponding_institution_ids":["https://openalex.org/I189158943"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.16837925,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"196","last_page":"205"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.35740000009536743,"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":0.35740000009536743,"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/T10317","display_name":"Advanced Database Systems and Queries","score":0.26330000162124634,"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/T10215","display_name":"Semantic Web and Ontologies","score":0.11180000007152557,"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/diagrammatic-reasoning","display_name":"Diagrammatic reasoning","score":0.7473999857902527},{"id":"https://openalex.org/keywords/existentialism","display_name":"Existentialism","score":0.6945000290870667},{"id":"https://openalex.org/keywords/property","display_name":"Property (philosophy)","score":0.49470001459121704},{"id":"https://openalex.org/keywords/power-set","display_name":"Power set","score":0.4169999957084656},{"id":"https://openalex.org/keywords/finite-set","display_name":"Finite set","score":0.4113999903202057},{"id":"https://openalex.org/keywords/existential-quantification","display_name":"Existential quantification","score":0.41040000319480896},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.3926999866962433},{"id":"https://openalex.org/keywords/compatibility","display_name":"Compatibility (geochemistry)","score":0.38580000400543213}],"concepts":[{"id":"https://openalex.org/C106624574","wikidata":"https://www.wikidata.org/wiki/Q5270387","display_name":"Diagrammatic reasoning","level":2,"score":0.7473999857902527},{"id":"https://openalex.org/C127882523","wikidata":"https://www.wikidata.org/wiki/Q38066","display_name":"Existentialism","level":2,"score":0.6945000290870667},{"id":"https://openalex.org/C189950617","wikidata":"https://www.wikidata.org/wiki/Q937228","display_name":"Property (philosophy)","level":2,"score":0.49470001459121704},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4634000062942505},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4584999978542328},{"id":"https://openalex.org/C100643331","wikidata":"https://www.wikidata.org/wiki/Q205170","display_name":"Power set","level":3,"score":0.4169999957084656},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.41620001196861267},{"id":"https://openalex.org/C162392398","wikidata":"https://www.wikidata.org/wiki/Q272404","display_name":"Finite set","level":2,"score":0.4113999903202057},{"id":"https://openalex.org/C136979486","wikidata":"https://www.wikidata.org/wiki/Q773483","display_name":"Existential quantification","level":2,"score":0.41040000319480896},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.3926999866962433},{"id":"https://openalex.org/C2778648169","wikidata":"https://www.wikidata.org/wiki/Q967768","display_name":"Compatibility (geochemistry)","level":2,"score":0.38580000400543213},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.3799000084400177},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3734999895095825},{"id":"https://openalex.org/C2777152325","wikidata":"https://www.wikidata.org/wiki/Q108163","display_name":"Proposition","level":2,"score":0.3571000099182129},{"id":"https://openalex.org/C5655090","wikidata":"https://www.wikidata.org/wiki/Q192588","display_name":"Relational database","level":2,"score":0.30230000615119934},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.2930999994277954},{"id":"https://openalex.org/C136726353","wikidata":"https://www.wikidata.org/wiki/Q903789","display_name":"Disjunctive normal form","level":2,"score":0.2856999933719635},{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.2854999899864197},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.2741999924182892},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.26080000400543213},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2599000036716461},{"id":"https://openalex.org/C154690210","wikidata":"https://www.wikidata.org/wiki/Q1668499","display_name":"Rewriting","level":2,"score":0.25679999589920044},{"id":"https://openalex.org/C65647387","wikidata":"https://www.wikidata.org/wiki/Q1781706","display_name":"Conjunctive query","level":3,"score":0.251800000667572}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.24963/kr.2025/20","is_oa":true,"landing_page_url":"https://doi.org/10.24963/kr.2025/20","pdf_url":"https://proceedings.kr.org/2025/20/kr2025-0020-calautti-et-al.pdf","source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the TwentySecond International Conference on Principles of Knowledge Representation and Reasoning","raw_type":"proceedings-article"},{"id":"pmh:oai:air.unimi.it:2434/1229983","is_oa":true,"landing_page_url":"https://hdl.handle.net/2434/1229983","pdf_url":null,"source":{"id":"https://openalex.org/S4306400516","display_name":"Archivio Istituzionale della Ricerca (Universita Degli Studi Di Milano)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I189158943","host_organization_name":"University of Milan","host_organization_lineage":["https://openalex.org/I189158943"],"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":null,"raw_type":"info:eu-repo/semantics/bookPart"}],"best_oa_location":{"id":"doi:10.24963/kr.2025/20","is_oa":true,"landing_page_url":"https://doi.org/10.24963/kr.2025/20","pdf_url":"https://proceedings.kr.org/2025/20/kr2025-0020-calautti-et-al.pdf","source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the TwentySecond International Conference on Principles of Knowledge Representation and Reasoning","raw_type":"proceedings-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G3697263892","display_name":null,"funder_award_id":"P2022KHTX7","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"}],"funders":[{"id":"https://openalex.org/F4320320300","display_name":"European Commission","ror":"https://ror.org/00k4n6c32"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4415903228.pdf","grobid_xml":"https://content.openalex.org/works/W4415903228.grobid-xml"},"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"Rule-based":[0],"languages":[1],"lie":[2],"at":[3],"the":[4,34,51,92,109,132,142,161,171,197],"core":[5],"of":[6,9,45,54,60,70,84,94,96,112,117,134,145,156,173,185,200],"several":[7],"areas":[8],"central":[10],"importance":[11],"to":[12,49,181],"databases":[13,20],"and":[14,21,24,122,147,167],"artificial":[15],"intelligence":[16],"such":[17,38],"as":[18],"deductive":[19],"knowledge":[22],"representation":[23],"reasoning.":[25],"Disjunctive":[26],"existential":[27,56,86,150,188,203],"rules":[28,57,87,151,189],"(a.k.a.":[29],"disjunctive":[30,55,85,149,187,202],"tuple-generating":[31],"dependencies":[32],"in":[33,58,196],"database":[35],"literature)":[36],"form":[37],"a":[39,67,80,114,123,183],"prominent":[40],"rule-based":[41],"language.":[42],"The":[43],"goal":[44],"this":[46,169],"work":[47],"is":[48,77,90,105],"pinpoint":[50],"expressive":[52],"power":[53],"terms":[59],"insightful":[61],"model-theoretic":[62,102],"properties.":[63,103],"More":[64],"precisely,":[65],"given":[66],"collection":[68],"C":[69,76,89,99],"relational":[71],"structures,":[72],"we":[73],"show":[74],"that":[75,129,159,194],"axiomatizable":[78],"via":[79],"finite":[81],"set":[82,93,184,193],"R":[83],"(i.e.,":[88],"precisely":[91],"models":[95],"R)":[97],"iff":[98],"enjoys":[100],"certain":[101],"This":[104],"achieved":[106],"by":[107,152,165],"using":[108],"well-known":[110],"property":[111,125],"criticality,":[113],"refined":[115,154],"version":[116],"closure":[118],"under":[119],"direct":[120],"products,":[121],"novel":[124],"called":[126],"diagrammatic":[127,157,174,179],"compatibility":[128,158,180],"relies":[130],"on":[131],"method":[133],"diagrams.":[135],"We":[136,176],"further":[137],"establish":[138],"analogous":[139],"characterizations":[140],"for":[141],"well-behaved":[143],"classes":[144],"linear":[146,201],"guarded":[148,186],"adopting":[153],"versions":[155],"consider":[160],"syntactic":[162],"restrictions":[163],"imposed":[164],"linearity":[166],"guardedness;":[168],"illustrates":[170],"robustness":[172],"compatibility.":[175],"finally":[177],"exploit":[178],"rewrite":[182],"into":[190],"an":[191],"equivalent":[192],"falls":[195],"weaker":[198],"class":[199],"rules,":[204],"if":[205],"one":[206],"exists.":[207]},"counts_by_year":[],"updated_date":"2026-04-10T15:06:20.359241","created_date":"2025-11-05T00:00:00"}
