{"id":"https://openalex.org/W2799169538","doi":"https://doi.org/10.1017/s1471068418000169","title":"Functional ASP with Intensional Sets: Application to Gelfond-Zhang Aggregates","display_name":"Functional ASP with Intensional Sets: Application to Gelfond-Zhang Aggregates","publication_year":2018,"publication_date":"2018-07-01","ids":{"openalex":"https://openalex.org/W2799169538","doi":"https://doi.org/10.1017/s1471068418000169","mag":"2799169538"},"language":"en","primary_location":{"id":"doi:10.1017/s1471068418000169","is_oa":true,"landing_page_url":"https://doi.org/10.1017/s1471068418000169","pdf_url":"https://www.cambridge.org/core/services/aop-cambridge-core/content/view/7B0261B4461E5B3B2462E79D647F93E5/S1471068418000169a.pdf/div-class-title-functional-asp-with-intensional-sets-application-to-gelfond-zhang-aggregates-div.pdf","source":{"id":"https://openalex.org/S59670734","display_name":"Theory and Practice of Logic Programming","issn_l":"1471-0684","issn":["1471-0684","1475-3081"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311721","host_organization_name":"Cambridge University Press","host_organization_lineage":["https://openalex.org/P4310311721","https://openalex.org/P4310311702"],"host_organization_lineage_names":["Cambridge University Press","University of Cambridge"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Theory and Practice of Logic Programming","raw_type":"journal-article"},"type":"preprint","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://www.cambridge.org/core/services/aop-cambridge-core/content/view/7B0261B4461E5B3B2462E79D647F93E5/S1471068418000169a.pdf/div-class-title-functional-asp-with-intensional-sets-application-to-gelfond-zhang-aggregates-div.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5028323744","display_name":"Pedro Cabalar","orcid":"https://orcid.org/0000-0001-7440-0953"},"institutions":[{"id":"https://openalex.org/I11019714","display_name":"Universidade da Coru\u00f1a","ror":"https://ror.org/01qckj285","country_code":"ES","type":"education","lineage":["https://openalex.org/I11019714"]}],"countries":["ES"],"is_corresponding":true,"raw_author_name":"PEDRO CABALAR","raw_affiliation_strings":["Department of Computer Science, University of Corunna, Corunna, Spain (e-mail:","Universidade da Coru\u00f1a"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, University of Corunna, Corunna, Spain (e-mail:","institution_ids":["https://openalex.org/I11019714"]},{"raw_affiliation_string":"Universidade da Coru\u00f1a","institution_ids":["https://openalex.org/I11019714"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5112705886","display_name":"Jorge Fandinno","orcid":null},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I134560555","display_name":"Universit\u00e9 Toulouse III - Paul Sabatier","ror":"https://ror.org/02v6kpv12","country_code":"FR","type":"education","lineage":["https://openalex.org/I134560555"]},{"id":"https://openalex.org/I17866349","display_name":"Universit\u00e9 F\u00e9d\u00e9rale de Toulouse Midi-Pyr\u00e9n\u00e9es","ror":"https://ror.org/004raaa70","country_code":"FR","type":"education","lineage":["https://openalex.org/I17866349"]},{"id":"https://openalex.org/I3131550300","display_name":"Universit\u00e9 Toulouse-I-Capitole","ror":"https://ror.org/0443n9e75","country_code":"FR","type":"education","lineage":["https://openalex.org/I3131550300"]},{"id":"https://openalex.org/I4210119061","display_name":"Institut de Recherche en Informatique de Toulouse","ror":"https://ror.org/01rx4qw44","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I205747304","https://openalex.org/I205747304","https://openalex.org/I4210119061","https://openalex.org/I4387153255","https://openalex.org/I4405258862","https://openalex.org/I4405258862"]},{"id":"https://openalex.org/I4210152422","display_name":"Universit\u00e9 Toulouse - Jean Jaur\u00e8s","ror":"https://ror.org/04ezk3x31","country_code":"FR","type":"education","lineage":["https://openalex.org/I4210152422","https://openalex.org/I4405258862"]},{"id":"https://openalex.org/I4210160189","display_name":"Institut Polytechnique de Bordeaux","ror":"https://ror.org/054qv7y42","country_code":"FR","type":"education","lineage":["https://openalex.org/I4210160189"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"JORGE FANDINNO","raw_affiliation_strings":["IRIT, Universit\u00e9 de Toulouse, CNRS, Toulouse, France (e-mails:","Argumentation, D\u00e9cision, Raisonnement, Incertitude et Apprentissage"],"affiliations":[{"raw_affiliation_string":"IRIT, Universit\u00e9 de Toulouse, CNRS, Toulouse, France (e-mails:","institution_ids":["https://openalex.org/I4210152422","https://openalex.org/I1294671590","https://openalex.org/I134560555","https://openalex.org/I17866349","https://openalex.org/I4210119061","https://openalex.org/I3131550300","https://openalex.org/I4210160189"]},{"raw_affiliation_string":"Argumentation, D\u00e9cision, Raisonnement, Incertitude et Apprentissage","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5001235333","display_name":"Lu\u00eds Fari\u00f1as del Cerro","orcid":"https://orcid.org/0000-0001-8752-8876"},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I134560555","display_name":"Universit\u00e9 Toulouse III - Paul Sabatier","ror":"https://ror.org/02v6kpv12","country_code":"FR","type":"education","lineage":["https://openalex.org/I134560555"]},{"id":"https://openalex.org/I17866349","display_name":"Universit\u00e9 F\u00e9d\u00e9rale de Toulouse Midi-Pyr\u00e9n\u00e9es","ror":"https://ror.org/004raaa70","country_code":"FR","type":"education","lineage":["https://openalex.org/I17866349"]},{"id":"https://openalex.org/I3131550300","display_name":"Universit\u00e9 Toulouse-I-Capitole","ror":"https://ror.org/0443n9e75","country_code":"FR","type":"education","lineage":["https://openalex.org/I3131550300"]},{"id":"https://openalex.org/I4210119061","display_name":"Institut de Recherche en Informatique de Toulouse","ror":"https://ror.org/01rx4qw44","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I205747304","https://openalex.org/I205747304","https://openalex.org/I4210119061","https://openalex.org/I4387153255","https://openalex.org/I4405258862","https://openalex.org/I4405258862"]},{"id":"https://openalex.org/I4210152422","display_name":"Universit\u00e9 Toulouse - Jean Jaur\u00e8s","ror":"https://ror.org/04ezk3x31","country_code":"FR","type":"education","lineage":["https://openalex.org/I4210152422","https://openalex.org/I4405258862"]},{"id":"https://openalex.org/I4210160189","display_name":"Institut Polytechnique de Bordeaux","ror":"https://ror.org/054qv7y42","country_code":"FR","type":"education","lineage":["https://openalex.org/I4210160189"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"LUIS FARI\u00d1AS DEL CERRO","raw_affiliation_strings":["IRIT, Universit\u00e9 de Toulouse, CNRS, Toulouse, France (e-mails:","Logique, Interaction, Langue et Calcul"],"affiliations":[{"raw_affiliation_string":"IRIT, Universit\u00e9 de Toulouse, CNRS, Toulouse, France (e-mails:","institution_ids":["https://openalex.org/I4210152422","https://openalex.org/I1294671590","https://openalex.org/I134560555","https://openalex.org/I17866349","https://openalex.org/I4210119061","https://openalex.org/I3131550300","https://openalex.org/I4210160189"]},{"raw_affiliation_string":"Logique, Interaction, Langue et Calcul","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5072844178","display_name":"David Pearce","orcid":"https://orcid.org/0000-0001-7407-326X"},"institutions":[{"id":"https://openalex.org/I88060688","display_name":"Universidad Polit\u00e9cnica de Madrid","ror":"https://ror.org/03n6nwv02","country_code":"ES","type":"education","lineage":["https://openalex.org/I88060688"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"DAVID PEARCE","raw_affiliation_strings":["Universidad Polit\u00e9cnica de Madrid, Madrid, Spain (e-mail:","[Universidad Politecnica de Madrid]"],"affiliations":[{"raw_affiliation_string":"Universidad Polit\u00e9cnica de Madrid, Madrid, Spain (e-mail:","institution_ids":["https://openalex.org/I88060688"]},{"raw_affiliation_string":"[Universidad Politecnica de Madrid]","institution_ids":["https://openalex.org/I88060688"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5028323744"],"corresponding_institution_ids":["https://openalex.org/I11019714"],"apc_list":null,"apc_paid":null,"fwci":0.1692,"has_fulltext":true,"cited_by_count":3,"citation_normalized_percentile":{"value":0.5832454,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":95},"biblio":{"volume":"18","issue":"3-4","first_page":"390","last_page":"405"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.9998999834060669,"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":0.9998999834060669,"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/T10456","display_name":"Multi-Agent Systems and Negotiation","score":0.9959999918937683,"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/T10215","display_name":"Semantic Web and Ontologies","score":0.9879000186920166,"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/predicate","display_name":"Predicate (mathematical logic)","score":0.5599135756492615},{"id":"https://openalex.org/keywords/commutative-property","display_name":"Commutative property","score":0.5070676803588867},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5032233595848083},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.46352559328079224},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.44316381216049194},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4200458824634552},{"id":"https://openalex.org/keywords/syntax","display_name":"Syntax","score":0.416187584400177},{"id":"https://openalex.org/keywords/associative-property","display_name":"Associative property","score":0.4121705889701843},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.4111191928386688},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.3683598041534424},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.17862749099731445},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.15788108110427856}],"concepts":[{"id":"https://openalex.org/C140146324","wikidata":"https://www.wikidata.org/wiki/Q1144319","display_name":"Predicate (mathematical logic)","level":2,"score":0.5599135756492615},{"id":"https://openalex.org/C183778304","wikidata":"https://www.wikidata.org/wiki/Q165474","display_name":"Commutative property","level":2,"score":0.5070676803588867},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5032233595848083},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.46352559328079224},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.44316381216049194},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4200458824634552},{"id":"https://openalex.org/C60048249","wikidata":"https://www.wikidata.org/wiki/Q37437","display_name":"Syntax","level":2,"score":0.416187584400177},{"id":"https://openalex.org/C159423971","wikidata":"https://www.wikidata.org/wiki/Q177251","display_name":"Associative property","level":2,"score":0.4121705889701843},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.4111191928386688},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.3683598041534424},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.17862749099731445},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.15788108110427856}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1017/s1471068418000169","is_oa":true,"landing_page_url":"https://doi.org/10.1017/s1471068418000169","pdf_url":"https://www.cambridge.org/core/services/aop-cambridge-core/content/view/7B0261B4461E5B3B2462E79D647F93E5/S1471068418000169a.pdf/div-class-title-functional-asp-with-intensional-sets-application-to-gelfond-zhang-aggregates-div.pdf","source":{"id":"https://openalex.org/S59670734","display_name":"Theory and Practice of Logic Programming","issn_l":"1471-0684","issn":["1471-0684","1475-3081"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311721","host_organization_name":"Cambridge University Press","host_organization_lineage":["https://openalex.org/P4310311721","https://openalex.org/P4310311702"],"host_organization_lineage_names":["Cambridge University Press","University of Cambridge"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Theory and Practice of Logic Programming","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1805.00660","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1805.00660","pdf_url":"https://arxiv.org/pdf/1805.00660","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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":"text"},{"id":"doi:10.48550/arxiv.1805.00660","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1805.00660","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"},{"id":"mag:2799169538","is_oa":false,"landing_page_url":null,"pdf_url":null,"source":null,"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":null}],"best_oa_location":{"id":"doi:10.1017/s1471068418000169","is_oa":true,"landing_page_url":"https://doi.org/10.1017/s1471068418000169","pdf_url":"https://www.cambridge.org/core/services/aop-cambridge-core/content/view/7B0261B4461E5B3B2462E79D647F93E5/S1471068418000169a.pdf/div-class-title-functional-asp-with-intensional-sets-application-to-gelfond-zhang-aggregates-div.pdf","source":{"id":"https://openalex.org/S59670734","display_name":"Theory and Practice of Logic Programming","issn_l":"1471-0684","issn":["1471-0684","1475-3081"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311721","host_organization_name":"Cambridge University Press","host_organization_lineage":["https://openalex.org/P4310311721","https://openalex.org/P4310311702"],"host_organization_lineage_names":["Cambridge University Press","University of Cambridge"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Theory and Practice of Logic Programming","raw_type":"journal-article"},"sustainable_development_goals":[{"score":0.5,"display_name":"Peace, Justice and strong institutions","id":"https://metadata.un.org/sdg/16"}],"awards":[{"id":"https://openalex.org/G1890406111","display_name":null,"funder_award_id":"GPC ED431B 2016/035 and 2016-2019 ED431G/01","funder_id":"https://openalex.org/F4320326655","funder_display_name":"Xunta de Galicia"},{"id":"https://openalex.org/G1892035512","display_name":null,"funder_award_id":"ANR-11-LABEX-0040-CIMI","funder_id":"https://openalex.org/F4320335230","funder_display_name":"Centre International de Math\u00e9matiques et Informatique de Toulouse"},{"id":"https://openalex.org/G195474297","display_name":null,"funder_award_id":"2017-","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"},{"id":"https://openalex.org/G3876637791","display_name":null,"funder_award_id":"ED431G","funder_id":"https://openalex.org/F4320326655","funder_display_name":"Xunta de Galicia"},{"id":"https://openalex.org/G4832516378","display_name":null,"funder_award_id":"11-IDEX-0002","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"},{"id":"https://openalex.org/G4866930200","display_name":null,"funder_award_id":"ANR-11-IDEX","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"},{"id":"https://openalex.org/G5233079459","display_name":null,"funder_award_id":"GPC_ED431B","funder_id":"https://openalex.org/F4320326655","funder_display_name":"Xunta de Galicia"},{"id":"https://openalex.org/G52474758","display_name":null,"funder_award_id":"ANR-11-IDEX-0002","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"},{"id":"https://openalex.org/G6234539131","display_name":null,"funder_award_id":"11-IDEX-0002-02","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"},{"id":"https://openalex.org/G6258374248","display_name":null,"funder_award_id":"ED431B","funder_id":"https://openalex.org/F4320326655","funder_display_name":"Xunta de Galicia"},{"id":"https://openalex.org/G6680000330","display_name":null,"funder_award_id":"ANR-11-IDEX-0002-02","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"},{"id":"https://openalex.org/G7224627388","display_name":null,"funder_award_id":"ED431","funder_id":"https://openalex.org/F4320326655","funder_display_name":"Xunta de Galicia"},{"id":"https://openalex.org/G7823808512","display_name":null,"funder_award_id":"ANR-11-IDEX-000","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"},{"id":"https://openalex.org/G8203850276","display_name":null,"funder_award_id":"ED431B 2016","funder_id":"https://openalex.org/F4320326655","funder_display_name":"Xunta de Galicia"},{"id":"https://openalex.org/G8373554017","display_name":null,"funder_award_id":"ED431G/01","funder_id":"https://openalex.org/F4320326655","funder_display_name":"Xunta de Galicia"},{"id":"https://openalex.org/G8495543184","display_name":null,"funder_award_id":"2016-2019 ED431G/01","funder_id":"https://openalex.org/F4320326655","funder_display_name":"Xunta de Galicia"},{"id":"https://openalex.org/G8700008737","display_name":null,"funder_award_id":"GPC ED431B 2016/035","funder_id":"https://openalex.org/F4320326655","funder_display_name":"Xunta de Galicia"},{"id":"https://openalex.org/G8938184468","display_name":null,"funder_award_id":"ANR-11-IDEX-0002-02","funder_id":"https://openalex.org/F4320335230","funder_display_name":"Centre International de Math\u00e9matiques et Informatique de Toulouse"}],"funders":[{"id":"https://openalex.org/F4320320883","display_name":"Agence Nationale de la Recherche","ror":"https://ror.org/00rbzpz17"},{"id":"https://openalex.org/F4320326655","display_name":"Xunta de Galicia","ror":"https://ror.org/0181xnw06"},{"id":"https://openalex.org/F4320335230","display_name":"Centre International de Math\u00e9matiques et Informatique de Toulouse","ror":"https://ror.org/017tgbk05"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2799169538.pdf","grobid_xml":"https://content.openalex.org/works/W2799169538.grobid-xml"},"referenced_works_count":27,"referenced_works":["https://openalex.org/W190039328","https://openalex.org/W224929203","https://openalex.org/W578063101","https://openalex.org/W1512745160","https://openalex.org/W1593909902","https://openalex.org/W1606891084","https://openalex.org/W1770842667","https://openalex.org/W2011124182","https://openalex.org/W2016937339","https://openalex.org/W2029702617","https://openalex.org/W2059245949","https://openalex.org/W2064864283","https://openalex.org/W2069156007","https://openalex.org/W2084291619","https://openalex.org/W2097139073","https://openalex.org/W2151485489","https://openalex.org/W2178806509","https://openalex.org/W2228065639","https://openalex.org/W2293188203","https://openalex.org/W2571793659","https://openalex.org/W2962967970","https://openalex.org/W3049363340","https://openalex.org/W3104034370","https://openalex.org/W6600090297","https://openalex.org/W6674903707","https://openalex.org/W6731891586","https://openalex.org/W6765820717"],"related_works":["https://openalex.org/W2963165327","https://openalex.org/W2220468947","https://openalex.org/W2798011798","https://openalex.org/W2725233680","https://openalex.org/W2294527179","https://openalex.org/W2952451744","https://openalex.org/W1966259305","https://openalex.org/W2288327229","https://openalex.org/W2548439728","https://openalex.org/W2517851471","https://openalex.org/W1814016595","https://openalex.org/W2090790829","https://openalex.org/W3157107","https://openalex.org/W2256886837","https://openalex.org/W2107239627","https://openalex.org/W2058207853","https://openalex.org/W2002009237","https://openalex.org/W2057736154","https://openalex.org/W2149751651","https://openalex.org/W2518592652"],"abstract_inverted_index":{"Abstract":[0],"In":[1,101],"this":[2,96],"paper,":[3],"we":[4,34,61,243,260,265,284],"propose":[5],"a":[6,27,65,85,130,153,180,183,198],"variant":[7],"of":[8,22,31,39,48,68,81,99,140,155,205,223,231,234,253],"Answer":[9],"Set":[10],"Programming":[11],"(ASP)":[12],"with":[13,43,52,270],"evaluable":[14,53,142,195],"functions":[15,54],"that":[16,25,225,262,287],"extends":[17],"their":[18,227],"application":[19,139],"to":[20,63,77,89,152,248,286],"sets":[21,106],"objects,":[23],"something":[24],"allows":[26],"fully":[28],"logical":[29,69,127,217],"treatment":[30],"aggregates.":[32],"Formally,":[33],"start":[35],"from":[36],"the":[37,46,79,138,186,216,220,263,271,279],"syntax":[38],"First":[40],"Order":[41],"Logic":[42,51],"equality":[44],"and":[45,88,201,237,276],"semantics":[47,94,170,200,264],"Quantified":[49],"Equilibrium":[50],"(":[55,144],"${\\rm":[56,91,187],"QEL}^=_{\\cal":[57,92,188],"F}$":[58,93,189],").":[59],"Then,":[60],"proceed":[62],"incorporate":[64],"new":[66,97],"kind":[67,204],"term,":[70],"intensional":[71,105,121,160],"set":[72,80,154],"(a":[73],"construct":[74],"commonly":[75],"used":[76,110],"denote":[78],"objects":[82,156],"characterised":[83],"by":[84,137,219,274],"given":[86],"formula),":[87],"extend":[90],"for":[95,171,267,278],"type":[98],"expression.":[100],"our":[102],"extended":[103],"approach,":[104],"can":[107,133,210,244],"be":[108,134,211],"arbitrarily":[109],"as":[111,124,158,193],"predicate":[112],"or":[113,116,182],"function":[114,143],"arguments":[115],"even":[117],"nested":[118],"inside":[119],"other":[120,169],"sets,":[122],"just":[123],"regular":[125,194],"first-order":[126],"terms.":[128],"As":[129],"result,":[131],"aggregates":[132,172,209,268],"naturally":[135],"formed":[136],"some":[141,175,235],"count":[145],",":[146,148,150],"sum":[147,250],"maximum":[149],"etc)":[151],"expressed":[157],"an":[159],"set.":[161],"This":[162],"approach":[163],"has":[164],"several":[165],"advantages.":[166],"First,":[167],"while":[168],"depend":[173],"on":[174],"syntactic":[176,206,288],"transformation":[177],"(either":[178],"via":[179],"reduct":[181],"formula":[184],"translation),":[185],"interpretation":[190],"treats":[191],"them":[192],"functions,":[196],"providing":[197],"compositional":[199],"avoiding":[202],"any":[203],"restriction.":[207],"Second,":[208],"explicitly":[212],"defined":[213,273],"now":[214],"within":[215],"language":[218],"simple":[221],"addition":[222],"formulas":[224],"fix":[226],"meaning":[228],"in":[229,251],"terms":[230,252],"multiple":[232],"applications":[233],"(commutative":[236],"associative)":[238],"binary":[239],"operation.":[240],"For":[241],"instance,":[242],"use":[245],"recursive":[246],"rules":[247],"define":[249],"integer":[254],"addition.":[255],"Last,":[256],"but":[257],"not":[258],"least,":[259],"prove":[261],"obtain":[266],"coincides":[269],"one":[272],"Gelfond":[275],"Zhang":[277],"${\\cal":[280],"A}\\mathit{log}$":[281],"language,":[282],"when":[283],"restrict":[285],"fragment.":[289]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2020,"cited_by_count":1}],"updated_date":"2026-04-16T08:26:57.006410","created_date":"2025-10-10T00:00:00"}