{"id":"https://openalex.org/W3193277399","doi":"https://doi.org/10.24963/ijcai.2021/272","title":"On the Relation Between Approximation Fixpoint Theory and Justification Theory","display_name":"On the Relation Between Approximation Fixpoint Theory and Justification Theory","publication_year":2021,"publication_date":"2021-08-01","ids":{"openalex":"https://openalex.org/W3193277399","doi":"https://doi.org/10.24963/ijcai.2021/272","mag":"3193277399"},"language":"en","primary_location":{"id":"doi:10.24963/ijcai.2021/272","is_oa":true,"landing_page_url":"https://doi.org/10.24963/ijcai.2021/272","pdf_url":"https://www.ijcai.org/proceedings/2021/0272.pdf","source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the Thirtieth International Joint Conference on Artificial Intelligence","raw_type":"proceedings-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.ijcai.org/proceedings/2021/0272.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5048530879","display_name":"Simon Marynissen","orcid":"https://orcid.org/0000-0002-2894-1377"},"institutions":[{"id":"https://openalex.org/I99464096","display_name":"KU Leuven","ror":"https://ror.org/05f950310","country_code":"BE","type":"education","lineage":["https://openalex.org/I99464096"]},{"id":"https://openalex.org/I13469542","display_name":"Vrije Universiteit Brussel","ror":"https://ror.org/006e5kg04","country_code":"BE","type":"education","lineage":["https://openalex.org/I13469542"]}],"countries":["BE"],"is_corresponding":true,"raw_author_name":"Simon Marynissen","raw_affiliation_strings":["KU Leuven, Leuven, Belgium","Vrije Universiteit Brussel, Brussels, Belgium"],"affiliations":[{"raw_affiliation_string":"KU Leuven, Leuven, Belgium","institution_ids":["https://openalex.org/I99464096"]},{"raw_affiliation_string":"Vrije Universiteit Brussel, Brussels, Belgium","institution_ids":["https://openalex.org/I13469542"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5089527287","display_name":"Bart Bogaerts","orcid":"https://orcid.org/0000-0003-3460-4251"},"institutions":[{"id":"https://openalex.org/I13469542","display_name":"Vrije Universiteit Brussel","ror":"https://ror.org/006e5kg04","country_code":"BE","type":"education","lineage":["https://openalex.org/I13469542"]}],"countries":["BE"],"is_corresponding":false,"raw_author_name":"Bart Bogaerts","raw_affiliation_strings":["Vrije Universiteit Brussel, Brussels, Belgium"],"affiliations":[{"raw_affiliation_string":"Vrije Universiteit Brussel, Brussels, Belgium","institution_ids":["https://openalex.org/I13469542"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5090754913","display_name":"Marc Denecker","orcid":"https://orcid.org/0000-0002-0422-7339"},"institutions":[{"id":"https://openalex.org/I99464096","display_name":"KU Leuven","ror":"https://ror.org/05f950310","country_code":"BE","type":"education","lineage":["https://openalex.org/I99464096"]}],"countries":["BE"],"is_corresponding":false,"raw_author_name":"Marc Denecker","raw_affiliation_strings":["KU Leuven, Leuven, Belgium"],"affiliations":[{"raw_affiliation_string":"KU Leuven, Leuven, Belgium","institution_ids":["https://openalex.org/I99464096"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5048530879"],"corresponding_institution_ids":["https://openalex.org/I13469542","https://openalex.org/I99464096"],"apc_list":null,"apc_paid":null,"fwci":0.2798,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.63951748,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"1973","last_page":"1980"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11010","display_name":"Logic, Reasoning, and Knowledge","score":1.0,"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":1.0,"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":0.9994999766349792,"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/T10126","display_name":"Logic, programming, and type systems","score":0.9976000189781189,"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/rotation-formalisms-in-three-dimensions","display_name":"Rotation formalisms in three dimensions","score":0.7170068621635437},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.547573447227478},{"id":"https://openalex.org/keywords/semantics","display_name":"Semantics (computer science)","score":0.5418047308921814},{"id":"https://openalex.org/keywords/fixed-point","display_name":"Fixed point","score":0.4701804220676422},{"id":"https://openalex.org/keywords/well-founded-semantics","display_name":"Well-founded semantics","score":0.44516322016716003},{"id":"https://openalex.org/keywords/monotonic-function","display_name":"Monotonic function","score":0.4413435459136963},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.44030332565307617},{"id":"https://openalex.org/keywords/relation","display_name":"Relation (database)","score":0.43792304396629333},{"id":"https://openalex.org/keywords/denotational-semantics","display_name":"Denotational semantics","score":0.4348859488964081},{"id":"https://openalex.org/keywords/frame","display_name":"Frame (networking)","score":0.4236082136631012},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.3720042109489441},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.37145787477493286},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.34730297327041626},{"id":"https://openalex.org/keywords/operational-semantics","display_name":"Operational semantics","score":0.2997267544269562},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.21455109119415283},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.1865113079547882},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.1614486575126648}],"concepts":[{"id":"https://openalex.org/C171018156","wikidata":"https://www.wikidata.org/wiki/Q7370306","display_name":"Rotation formalisms in three dimensions","level":2,"score":0.7170068621635437},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.547573447227478},{"id":"https://openalex.org/C184337299","wikidata":"https://www.wikidata.org/wiki/Q1437428","display_name":"Semantics (computer science)","level":2,"score":0.5418047308921814},{"id":"https://openalex.org/C61445026","wikidata":"https://www.wikidata.org/wiki/Q217608","display_name":"Fixed point","level":2,"score":0.4701804220676422},{"id":"https://openalex.org/C89497691","wikidata":"https://www.wikidata.org/wiki/Q7981058","display_name":"Well-founded semantics","level":5,"score":0.44516322016716003},{"id":"https://openalex.org/C72169020","wikidata":"https://www.wikidata.org/wiki/Q194404","display_name":"Monotonic function","level":2,"score":0.4413435459136963},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.44030332565307617},{"id":"https://openalex.org/C25343380","wikidata":"https://www.wikidata.org/wiki/Q277521","display_name":"Relation (database)","level":2,"score":0.43792304396629333},{"id":"https://openalex.org/C207648694","wikidata":"https://www.wikidata.org/wiki/Q1189746","display_name":"Denotational semantics","level":4,"score":0.4348859488964081},{"id":"https://openalex.org/C126042441","wikidata":"https://www.wikidata.org/wiki/Q1324888","display_name":"Frame (networking)","level":2,"score":0.4236082136631012},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3720042109489441},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.37145787477493286},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.34730297327041626},{"id":"https://openalex.org/C156325763","wikidata":"https://www.wikidata.org/wiki/Q1930895","display_name":"Operational semantics","level":3,"score":0.2997267544269562},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.21455109119415283},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.1865113079547882},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.1614486575126648},{"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/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.0},{"id":"https://openalex.org/C77088390","wikidata":"https://www.wikidata.org/wiki/Q8513","display_name":"Database","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.24963/ijcai.2021/272","is_oa":true,"landing_page_url":"https://doi.org/10.24963/ijcai.2021/272","pdf_url":"https://www.ijcai.org/proceedings/2021/0272.pdf","source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the Thirtieth International Joint Conference on Artificial Intelligence","raw_type":"proceedings-article"},{"id":"pmh:oai:vubissmart:VUBISSMART:2000:152324","is_oa":false,"landing_page_url":"https://biblio.vub.ac.be/vubir/on-the-relation-between-approximation-fixpoint-theory-and-justification-theory(85db071a-d138-4e0c-8058-9ed5e0773613).html","pdf_url":null,"source":{"id":"https://openalex.org/S4306402573","display_name":"VUBIR (Vrije Universiteit Brussel)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I13469542","host_organization_name":"Vrije Universiteit Brussel","host_organization_lineage":["https://openalex.org/I13469542"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":null,"raw_type":"publishedVersion"},{"id":"pmh:oai:lirias2repo.kuleuven.be:20.500.12942/689822","is_oa":true,"landing_page_url":"https://lirias.kuleuven.be/handle/20.500.12942/689822","pdf_url":null,"source":{"id":"https://openalex.org/S4306401954","display_name":"Lirias (KU Leuven)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I99464096","host_organization_name":"KU Leuven","host_organization_lineage":["https://openalex.org/I99464096"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":"Thirtieth International Joint Conference on Artificial Intelligence, Montreal (virtual), 19-26 August 2021","raw_type":"info:eu-repo/semantics/publishedVersion"},{"id":"pmh:oai:vubissmart:VUBISSMART:2000:184182","is_oa":false,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S4306402573","display_name":"VUBIR (Vrije Universiteit Brussel)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I13469542","host_organization_name":"Vrije Universiteit Brussel","host_organization_lineage":["https://openalex.org/I13469542"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"doi:10.24963/ijcai.2021/272","is_oa":true,"landing_page_url":"https://doi.org/10.24963/ijcai.2021/272","pdf_url":"https://www.ijcai.org/proceedings/2021/0272.pdf","source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the Thirtieth International Joint Conference on Artificial Intelligence","raw_type":"proceedings-article"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/16","score":0.44999998807907104,"display_name":"Peace, Justice and strong institutions"},{"id":"https://metadata.un.org/sdg/10","score":0.4000000059604645,"display_name":"Reduced inequalities"}],"awards":[{"id":"https://openalex.org/G8639639243","display_name":null,"funder_award_id":"G0B2221N","funder_id":"https://openalex.org/F4320321730","funder_display_name":"Fonds Wetenschappelijk Onderzoek"}],"funders":[{"id":"https://openalex.org/F4320321730","display_name":"Fonds Wetenschappelijk Onderzoek","ror":"https://ror.org/03qtxy027"},{"id":"https://openalex.org/F4320327336","display_name":"Vlaamse regering","ror":null}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3193277399.pdf","grobid_xml":"https://content.openalex.org/works/W3193277399.grobid-xml"},"referenced_works_count":23,"referenced_works":["https://openalex.org/W92930600","https://openalex.org/W953051941","https://openalex.org/W1565496223","https://openalex.org/W1592324616","https://openalex.org/W2023808640","https://openalex.org/W2037518358","https://openalex.org/W2046213250","https://openalex.org/W2047865008","https://openalex.org/W2099792091","https://openalex.org/W2109826876","https://openalex.org/W2145648043","https://openalex.org/W2408035994","https://openalex.org/W2408502454","https://openalex.org/W2769775579","https://openalex.org/W2807882401","https://openalex.org/W2889566068","https://openalex.org/W2950990748","https://openalex.org/W2998857771","https://openalex.org/W3102779922","https://openalex.org/W3104362192","https://openalex.org/W3120364302","https://openalex.org/W3126259479","https://openalex.org/W4247140915"],"related_works":["https://openalex.org/W2153182968","https://openalex.org/W2109790275","https://openalex.org/W91938043","https://openalex.org/W3129725704","https://openalex.org/W2017152877","https://openalex.org/W2077853828","https://openalex.org/W2098738693","https://openalex.org/W3197740044","https://openalex.org/W2070801544","https://openalex.org/W1988438613"],"abstract_inverted_index":{"Approximation":[0],"Fixpoint":[1],"Theory":[2,6],"(AFT)":[3],"and":[4,25,101],"Justification":[5],"(JT)":[7],"are":[8,33],"two":[9,87],"frameworks":[10,52],"to":[11,61,80,107,119],"unify":[12],"logical":[13],"formalisms.":[14],"AFT":[15,108],"studies":[16],"semantics":[17,65,136],"in":[18,27,44,58,68,140],"terms":[19,28],"of":[20,22,29,35,75,126,154],"fixpoints":[21],"lattice":[23],"operators,":[24],"JT":[26,106,121,141],"so-called":[30],"justifications,":[31],"which":[32],"explanations":[34],"why":[36],"certain":[37],"facts":[38],"do":[39,41],"or":[40],"not":[42],"hold":[43],"a":[45,82,123,143],"model.":[46],"While":[47],"the":[48,51,63,86,147,157],"approaches":[49],"differ,":[50],"were":[53],"designed":[54],"with":[55,122],"similar":[56],"goals":[57],"mind,":[59],"namely":[60,128],"study":[62],"different":[64],"that":[66,94,102,134],"arise":[67],"(mainly)":[69],"non-monotonic":[70],"logics.":[71],"The":[72,113],"First":[73],"contribution":[74,115],"our":[76],"current":[77],"paper":[78],"is":[79],"provide":[81],"formal":[83],"link":[84],"between":[85],"frameworks.":[88],"To":[89],"be":[90,138],"precise,":[91],"we":[92,131],"show":[93,133],"every":[95],"justification":[96,148],"frame":[97],"induces":[98],"an":[99],"approximator":[100],"this":[103,117],"mapping":[104],"from":[105],"preserves":[109],"all":[110],"major":[111],"semantics.":[112],"second":[114],"exploits":[116],"correspondence":[118],"extend":[120],"novel":[124],"class":[125],"semantics,":[127],"ultimate":[129,135],"semantics:":[130],"formally":[132],"can":[137],"obtained":[139],"by":[142],"syntactic":[144],"transformation":[145],"on":[146,156],"frame,":[149],"essentially":[150],"performing":[151],"some":[152],"sort":[153],"resolution":[155],"rules.":[158]},"counts_by_year":[{"year":2022,"cited_by_count":2}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}