{"id":"https://openalex.org/W4415622358","doi":"https://doi.org/10.1007/s10994-025-06869-z","title":"Common abductive explanations in first order logic","display_name":"Common abductive explanations in first order logic","publication_year":2025,"publication_date":"2025-10-28","ids":{"openalex":"https://openalex.org/W4415622358","doi":"https://doi.org/10.1007/s10994-025-06869-z"},"language":"en","primary_location":{"id":"doi:10.1007/s10994-025-06869-z","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10994-025-06869-z","pdf_url":null,"source":{"id":"https://openalex.org/S62148650","display_name":"Machine Learning","issn_l":"0885-6125","issn":["0885-6125","1573-0565"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Machine Learning","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/A5079679312","display_name":"C\u00e9line Rouveirol","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/I39804081","display_name":"Sorbonne Universit\u00e9","ror":"https://ror.org/02en5vm52","country_code":"FR","type":"education","lineage":["https://openalex.org/I39804081"]},{"id":"https://openalex.org/I4210091279","display_name":"Universit\u00e9 Sorbonne Paris Nord","ror":"https://ror.org/0199hds37","country_code":"FR","type":"education","lineage":["https://openalex.org/I4210091279"]},{"id":"https://openalex.org/I4210115747","display_name":"Laboratoire des Sciences des Proc\u00e9d\u00e9s et des Mat\u00e9riaux","ror":"https://ror.org/01yr0r787","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I4210095849","https://openalex.org/I4210115747"]},{"id":"https://openalex.org/I4210156583","display_name":"Laboratoire d'Informatique de Paris-Nord","ror":"https://ror.org/05g1zjw44","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I4210091279","https://openalex.org/I4210156583","https://openalex.org/I4210159245"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"C\u00e9line Rouveirol","raw_affiliation_strings":["LIPN, UMR-CNRS 7030, Universit\u00e9 Sorbonne Paris-Nord, 99, avenue J.B. Cl\u00e9ment, 93430, Villetaneuse, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"LIPN, UMR-CNRS 7030, Universit\u00e9 Sorbonne Paris-Nord, 99, avenue J.B. Cl\u00e9ment, 93430, Villetaneuse, France","institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I39804081","https://openalex.org/I4210091279","https://openalex.org/I4210115747","https://openalex.org/I4210156583"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5000152441","display_name":"Henry Soldano","orcid":"https://orcid.org/0000-0001-8505-948X"},"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/I39804081","display_name":"Sorbonne Universit\u00e9","ror":"https://ror.org/02en5vm52","country_code":"FR","type":"education","lineage":["https://openalex.org/I39804081"]},{"id":"https://openalex.org/I4210091279","display_name":"Universit\u00e9 Sorbonne Paris Nord","ror":"https://ror.org/0199hds37","country_code":"FR","type":"education","lineage":["https://openalex.org/I4210091279"]},{"id":"https://openalex.org/I4210115747","display_name":"Laboratoire des Sciences des Proc\u00e9d\u00e9s et des Mat\u00e9riaux","ror":"https://ror.org/01yr0r787","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I4210095849","https://openalex.org/I4210115747"]},{"id":"https://openalex.org/I4210121264","display_name":"Office National des For\u00eats","ror":"https://ror.org/01yekza56","country_code":"FR","type":"government","lineage":["https://openalex.org/I4210121264"]},{"id":"https://openalex.org/I4210156583","display_name":"Laboratoire d'Informatique de Paris-Nord","ror":"https://ror.org/05g1zjw44","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I4210091279","https://openalex.org/I4210156583","https://openalex.org/I4210159245"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Henry Soldano","raw_affiliation_strings":["LIPN, UMR-CNRS 7030, Universit\u00e9 Sorbonne Paris-Nord, 99, avenue J.B. Cl\u00e9ment, 93430, Villetaneuse, France","NukkAI, rue des cinq diamants, 75013, Paris, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"LIPN, UMR-CNRS 7030, Universit\u00e9 Sorbonne Paris-Nord, 99, avenue J.B. Cl\u00e9ment, 93430, Villetaneuse, France","institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I39804081","https://openalex.org/I4210091279","https://openalex.org/I4210115747","https://openalex.org/I4210156583"]},{"raw_affiliation_string":"NukkAI, rue des cinq diamants, 75013, Paris, France","institution_ids":["https://openalex.org/I4210121264"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5092456986","display_name":"Malik Kazi Aoual","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/I39804081","display_name":"Sorbonne Universit\u00e9","ror":"https://ror.org/02en5vm52","country_code":"FR","type":"education","lineage":["https://openalex.org/I39804081"]},{"id":"https://openalex.org/I4210091279","display_name":"Universit\u00e9 Sorbonne Paris Nord","ror":"https://ror.org/0199hds37","country_code":"FR","type":"education","lineage":["https://openalex.org/I4210091279"]},{"id":"https://openalex.org/I4210115747","display_name":"Laboratoire des Sciences des Proc\u00e9d\u00e9s et des Mat\u00e9riaux","ror":"https://ror.org/01yr0r787","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I4210095849","https://openalex.org/I4210115747"]},{"id":"https://openalex.org/I4210121264","display_name":"Office National des For\u00eats","ror":"https://ror.org/01yekza56","country_code":"FR","type":"government","lineage":["https://openalex.org/I4210121264"]},{"id":"https://openalex.org/I4210156583","display_name":"Laboratoire d'Informatique de Paris-Nord","ror":"https://ror.org/05g1zjw44","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I4210091279","https://openalex.org/I4210156583","https://openalex.org/I4210159245"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Malik Kazi Aoual","raw_affiliation_strings":["LIPN, UMR-CNRS 7030, Universit\u00e9 Sorbonne Paris-Nord, 99, avenue J.B. Cl\u00e9ment, 93430, Villetaneuse, France","NukkAI, rue des cinq diamants, 75013, Paris, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"LIPN, UMR-CNRS 7030, Universit\u00e9 Sorbonne Paris-Nord, 99, avenue J.B. Cl\u00e9ment, 93430, Villetaneuse, France","institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I39804081","https://openalex.org/I4210091279","https://openalex.org/I4210115747","https://openalex.org/I4210156583"]},{"raw_affiliation_string":"NukkAI, rue des cinq diamants, 75013, Paris, France","institution_ids":["https://openalex.org/I4210121264"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5062549557","display_name":"V\u00e9ronique Ventos","orcid":null},"institutions":[{"id":"https://openalex.org/I4210121264","display_name":"Office National des For\u00eats","ror":"https://ror.org/01yekza56","country_code":"FR","type":"government","lineage":["https://openalex.org/I4210121264"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"V\u00e9ronique Ventos","raw_affiliation_strings":["NukkAI, rue des cinq diamants, 75013, Paris, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"NukkAI, rue des cinq diamants, 75013, Paris, France","institution_ids":["https://openalex.org/I4210121264"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":6,"corresponding_author_ids":["https://openalex.org/A5000152441"],"corresponding_institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I39804081","https://openalex.org/I4210091279","https://openalex.org/I4210115747","https://openalex.org/I4210121264","https://openalex.org/I4210156583"],"apc_list":{"value":2990,"currency":"USD","value_usd":2990},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.11635753,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"114","issue":"12","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12026","display_name":"Explainable Artificial Intelligence (XAI)","score":0.3837999999523163,"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/T12026","display_name":"Explainable Artificial Intelligence (XAI)","score":0.3837999999523163,"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/T11303","display_name":"Bayesian Modeling and Causal Inference","score":0.2378000020980835,"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/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.12610000371932983,"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/first-order","display_name":"First order","score":0.5109999775886536},{"id":"https://openalex.org/keywords/inductive-logic-programming","display_name":"Inductive logic programming","score":0.47029998898506165},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.41940000653266907},{"id":"https://openalex.org/keywords/scheme","display_name":"Scheme (mathematics)","score":0.40549999475479126},{"id":"https://openalex.org/keywords/common-knowledge","display_name":"Common knowledge (logic)","score":0.40130001306533813},{"id":"https://openalex.org/keywords/group","display_name":"Group (periodic table)","score":0.38440001010894775}],"concepts":[{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.5490000247955322},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5252000093460083},{"id":"https://openalex.org/C2987642246","wikidata":"https://www.wikidata.org/wiki/Q5452196","display_name":"First order","level":2,"score":0.5109999775886536},{"id":"https://openalex.org/C2779382394","wikidata":"https://www.wikidata.org/wiki/Q1464197","display_name":"Inductive logic programming","level":2,"score":0.47029998898506165},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.41940000653266907},{"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/C77618280","wikidata":"https://www.wikidata.org/wiki/Q1155772","display_name":"Scheme (mathematics)","level":2,"score":0.40549999475479126},{"id":"https://openalex.org/C31084985","wikidata":"https://www.wikidata.org/wiki/Q372650","display_name":"Common knowledge (logic)","level":5,"score":0.40130001306533813},{"id":"https://openalex.org/C2781311116","wikidata":"https://www.wikidata.org/wiki/Q83306","display_name":"Group (periodic table)","level":2,"score":0.38440001010894775},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.35190001130104065},{"id":"https://openalex.org/C166088908","wikidata":"https://www.wikidata.org/wiki/Q308495","display_name":"Abductive reasoning","level":2,"score":0.3504999876022339},{"id":"https://openalex.org/C2777877512","wikidata":"https://www.wikidata.org/wiki/Q1116097","display_name":"Common ground","level":2,"score":0.3337000012397766},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.31310001015663147},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.2955000102519989},{"id":"https://openalex.org/C100481476","wikidata":"https://www.wikidata.org/wiki/Q4055684","display_name":"First-order logic","level":2,"score":0.2865000069141388},{"id":"https://openalex.org/C204321447","wikidata":"https://www.wikidata.org/wiki/Q30642","display_name":"Natural language processing","level":1,"score":0.28610000014305115},{"id":"https://openalex.org/C125411270","wikidata":"https://www.wikidata.org/wiki/Q18653","display_name":"Encoding (memory)","level":2,"score":0.2669000029563904}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s10994-025-06869-z","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10994-025-06869-z","pdf_url":null,"source":{"id":"https://openalex.org/S62148650","display_name":"Machine Learning","issn_l":"0885-6125","issn":["0885-6125","1573-0565"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Machine Learning","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320321663","display_name":"Association Nationale de la Recherche et de la Technologie","ror":"https://ror.org/00ht2ab73"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":46,"referenced_works":["https://openalex.org/W32130834","https://openalex.org/W37301688","https://openalex.org/W189498254","https://openalex.org/W1501498539","https://openalex.org/W1509180139","https://openalex.org/W1531743498","https://openalex.org/W1558302907","https://openalex.org/W1570748171","https://openalex.org/W1578939337","https://openalex.org/W1795691572","https://openalex.org/W1822863177","https://openalex.org/W1921610902","https://openalex.org/W1983168840","https://openalex.org/W1987902506","https://openalex.org/W2014117644","https://openalex.org/W2095398376","https://openalex.org/W2113243831","https://openalex.org/W2119831128","https://openalex.org/W2169042011","https://openalex.org/W2282821441","https://openalex.org/W2547936859","https://openalex.org/W2788403449","https://openalex.org/W2885489825","https://openalex.org/W2962936809","https://openalex.org/W2963095307","https://openalex.org/W2964359568","https://openalex.org/W2990325688","https://openalex.org/W2996001543","https://openalex.org/W3006966511","https://openalex.org/W3065734471","https://openalex.org/W3138984732","https://openalex.org/W3139019272","https://openalex.org/W3190685737","https://openalex.org/W3202365497","https://openalex.org/W3205094558","https://openalex.org/W4283805020","https://openalex.org/W4283819556","https://openalex.org/W4285601249","https://openalex.org/W4298091860","https://openalex.org/W4306928732","https://openalex.org/W4382239829","https://openalex.org/W4386193536","https://openalex.org/W4387185110","https://openalex.org/W4387645386","https://openalex.org/W4387830584","https://openalex.org/W4390851275"],"related_works":[],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-07-23T08:03:31.855105","created_date":"2025-10-28T00:00:00"}
