{"id":"https://openalex.org/W3007515937","doi":"https://doi.org/10.1145/3385658.3385660","title":"Limit Datalog","display_name":"Limit Datalog","publication_year":2020,"publication_date":"2020-02-25","ids":{"openalex":"https://openalex.org/W3007515937","doi":"https://doi.org/10.1145/3385658.3385660","mag":"3007515937"},"language":"en","primary_location":{"id":"doi:10.1145/3385658.3385660","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3385658.3385660","pdf_url":null,"source":{"id":"https://openalex.org/S47508943","display_name":"ACM SIGMOD Record","issn_l":"0163-5808","issn":["0163-5808","1943-5835"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ACM SIGMOD Record","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/A5023732514","display_name":"Bernardo Cuenca Grau","orcid":"https://orcid.org/0000-0003-2909-5923"},"institutions":[{"id":"https://openalex.org/I40120149","display_name":"University of Oxford","ror":"https://ror.org/052gg0110","country_code":"GB","type":"education","lineage":["https://openalex.org/I40120149"]}],"countries":["GB"],"is_corresponding":true,"raw_author_name":"Bernardo Cuenca Grau","raw_affiliation_strings":["University of Oxford, Oxford, United Kingdom"],"affiliations":[{"raw_affiliation_string":"University of Oxford, Oxford, United Kingdom","institution_ids":["https://openalex.org/I40120149"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5060350556","display_name":"Ian Horrocks","orcid":"https://orcid.org/0000-0002-2685-7462"},"institutions":[{"id":"https://openalex.org/I40120149","display_name":"University of Oxford","ror":"https://ror.org/052gg0110","country_code":"GB","type":"education","lineage":["https://openalex.org/I40120149"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Ian Horrocks","raw_affiliation_strings":["University of Oxford, Oxford, United Kingdom"],"affiliations":[{"raw_affiliation_string":"University of Oxford, Oxford, United Kingdom","institution_ids":["https://openalex.org/I40120149"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5080366682","display_name":"Mark Kaminski","orcid":"https://orcid.org/0000-0002-8712-2953"},"institutions":[{"id":"https://openalex.org/I40120149","display_name":"University of Oxford","ror":"https://ror.org/052gg0110","country_code":"GB","type":"education","lineage":["https://openalex.org/I40120149"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Mark Kaminski","raw_affiliation_strings":["University of Oxford, Oxford, United Kingdom"],"affiliations":[{"raw_affiliation_string":"University of Oxford, Oxford, United Kingdom","institution_ids":["https://openalex.org/I40120149"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5071446856","display_name":"Egor V. Kostylev","orcid":"https://orcid.org/0000-0002-8886-6129"},"institutions":[{"id":"https://openalex.org/I40120149","display_name":"University of Oxford","ror":"https://ror.org/052gg0110","country_code":"GB","type":"education","lineage":["https://openalex.org/I40120149"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Egor V. Kostylev","raw_affiliation_strings":["University of Oxford, Oxford, United Kingdom"],"affiliations":[{"raw_affiliation_string":"University of Oxford, Oxford, United Kingdom","institution_ids":["https://openalex.org/I40120149"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5077636035","display_name":"Boris Motik","orcid":null},"institutions":[{"id":"https://openalex.org/I40120149","display_name":"University of Oxford","ror":"https://ror.org/052gg0110","country_code":"GB","type":"education","lineage":["https://openalex.org/I40120149"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Boris Motik","raw_affiliation_strings":["University of Oxford, Oxford, United Kingdom"],"affiliations":[{"raw_affiliation_string":"University of Oxford, Oxford, United Kingdom","institution_ids":["https://openalex.org/I40120149"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5023732514"],"corresponding_institution_ids":["https://openalex.org/I40120149"],"apc_list":null,"apc_paid":null,"fwci":0.1326,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.51063894,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"48","issue":"4","first_page":"6","last_page":"17"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.9995999932289124,"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":0.9995999932289124,"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/T10126","display_name":"Logic, programming, and type systems","score":0.9991999864578247,"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/T10142","display_name":"Formal Methods in Verification","score":0.9977999925613403,"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/datalog","display_name":"Datalog","score":0.9260058403015137},{"id":"https://openalex.org/keywords/decidability","display_name":"Decidability","score":0.8277561664581299},{"id":"https://openalex.org/keywords/undecidable-problem","display_name":"Undecidable problem","score":0.7748879790306091},{"id":"https://openalex.org/keywords/fragment","display_name":"Fragment (logic)","score":0.7700190544128418},{"id":"https://openalex.org/keywords/limit","display_name":"Limit (mathematics)","score":0.7453483939170837},{"id":"https://openalex.org/keywords/negation","display_name":"Negation","score":0.7012048363685608},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6566711664199829},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.4525836706161499},{"id":"https://openalex.org/keywords/logical-consequence","display_name":"Logical consequence","score":0.4210668206214905},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.4140351116657257},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.40720242261886597},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3131694793701172}],"concepts":[{"id":"https://openalex.org/C148230440","wikidata":"https://www.wikidata.org/wiki/Q1172264","display_name":"Datalog","level":2,"score":0.9260058403015137},{"id":"https://openalex.org/C153269930","wikidata":"https://www.wikidata.org/wiki/Q430001","display_name":"Decidability","level":2,"score":0.8277561664581299},{"id":"https://openalex.org/C192034797","wikidata":"https://www.wikidata.org/wiki/Q3502995","display_name":"Undecidable problem","level":3,"score":0.7748879790306091},{"id":"https://openalex.org/C2776235265","wikidata":"https://www.wikidata.org/wiki/Q18392052","display_name":"Fragment (logic)","level":2,"score":0.7700190544128418},{"id":"https://openalex.org/C151201525","wikidata":"https://www.wikidata.org/wiki/Q177239","display_name":"Limit (mathematics)","level":2,"score":0.7453483939170837},{"id":"https://openalex.org/C2185349","wikidata":"https://www.wikidata.org/wiki/Q190558","display_name":"Negation","level":2,"score":0.7012048363685608},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6566711664199829},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.4525836706161499},{"id":"https://openalex.org/C134752490","wikidata":"https://www.wikidata.org/wiki/Q374182","display_name":"Logical consequence","level":2,"score":0.4210668206214905},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.4140351116657257},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.40720242261886597},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3131694793701172},{"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/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1145/3385658.3385660","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3385658.3385660","pdf_url":null,"source":{"id":"https://openalex.org/S47508943","display_name":"ACM SIGMOD Record","issn_l":"0163-5808","issn":["0163-5808","1943-5835"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ACM SIGMOD Record","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1202994350","display_name":null,"funder_award_id":"EP/P025943/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G7351134993","display_name":null,"funder_award_id":"EP/S032347/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"}],"funders":[{"id":"https://openalex.org/F4320334627","display_name":"Engineering and Physical Sciences Research Council","ror":"https://ror.org/0439y7842"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":32,"referenced_works":["https://openalex.org/W116178176","https://openalex.org/W125332145","https://openalex.org/W165195483","https://openalex.org/W1614330000","https://openalex.org/W1846087057","https://openalex.org/W1967570846","https://openalex.org/W1969965298","https://openalex.org/W2008865455","https://openalex.org/W2016937339","https://openalex.org/W2043182143","https://openalex.org/W2063061546","https://openalex.org/W2064864283","https://openalex.org/W2065939997","https://openalex.org/W2087032149","https://openalex.org/W2094818741","https://openalex.org/W2096650850","https://openalex.org/W2098678491","https://openalex.org/W2131314981","https://openalex.org/W2131817760","https://openalex.org/W2155996966","https://openalex.org/W2183624377","https://openalex.org/W2215524946","https://openalex.org/W2295882966","https://openalex.org/W2339351027","https://openalex.org/W2433992225","https://openalex.org/W2544425934","https://openalex.org/W2557780633","https://openalex.org/W2798884761","https://openalex.org/W2963589932","https://openalex.org/W2964250337","https://openalex.org/W4236835455","https://openalex.org/W4296313421"],"related_works":["https://openalex.org/W1983914494","https://openalex.org/W2972379433","https://openalex.org/W2136421307","https://openalex.org/W1501430220","https://openalex.org/W2989332944","https://openalex.org/W2021891065","https://openalex.org/W2129111346","https://openalex.org/W2583549044","https://openalex.org/W2119045600","https://openalex.org/W2584984136"],"abstract_inverted_index":{"Motivated":[0],"by":[1],"applications":[2],"in":[3,21,71,80,91,98,103],"declarative":[4,153],"data":[5,43,104,154,171],"analysis,":[6],"we":[7,27],"study":[8],"DatalogZ-an":[9],"extension":[10],"of":[11,168],"Datalog":[12],"with":[13,52,147],"stratified":[14],"negation":[15],"and":[16,100,106,111,134,156],"arithmetics":[17],"over":[18],"integers.":[19],"Reasoning":[20,70],"this":[22],"language":[23],"is":[24,35,74,78,94],"undecidable,":[25],"so":[26],"present":[28],"a":[29,53,81,148,161],"fragment,":[30],"called":[31],"limit":[32,47,57,72],"DatalogZ,":[33,48],"that":[34,59,83],"powerful":[36],"enough":[37],"to":[38,109,132],"naturally":[39],"capture":[40],"many":[41],"important":[42],"analysis":[44,155,172],"tasks.":[45],"In":[46],"all":[49],"intensional":[50],"predicates":[51,58],"numeric":[54,68],"argument":[55],"are":[56,118],"keep":[60],"only":[61,115],"the":[62,129,137,165,169],"maximal":[63],"or":[64],"minimal":[65],"bounds":[66,138],"on":[67],"values.":[69],"DatalogZ":[73,93,143],"decidable":[75],"if":[76,114],"multiplication":[77],"used":[79,159],"way":[82],"satisfies":[84],"our":[85],"linearity":[86],"condition.":[87],"Moreover,":[88],"fact":[89],"entailment":[90],"limit-linear":[92],"\u0394EXP":[95],"2":[96],"-complete":[97,102],"combined":[99],"\u0394P2":[101],"complexity,":[105],"it":[107],"drops":[108,131],"coNEXP":[110],"coNP,":[112],"respectively,":[113],"(semi-)positive":[116],"programs":[117],"considered.":[119],"We":[120],"also":[121],"propose":[122],"an":[123],"additional":[124],"stability":[125],"requirement,":[126],"for":[127,139,152,163],"which":[128],"complexity":[130],"EXP":[133],"P,":[135],"matching":[136],"usual":[140],"Datalog.":[141],"Limit":[142],"thus":[144],"provides":[145],"us":[146],"unified":[149],"logical":[150],"framework":[151],"can":[157],"be":[158],"as":[160],"basis":[162],"understanding":[164],"expressive":[166],"power":[167],"key":[170],"constructs.":[173]},"counts_by_year":[{"year":2020,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2020-03-06T00:00:00"}