{"id":"https://openalex.org/W1489867543","doi":"https://doi.org/10.1007/3-540-44957-4_47","title":"Extending Classical Logic with Inductive Definitions","display_name":"Extending Classical Logic with Inductive Definitions","publication_year":2000,"publication_date":"2000-01-01","ids":{"openalex":"https://openalex.org/W1489867543","doi":"https://doi.org/10.1007/3-540-44957-4_47","mag":"1489867543"},"language":"en","primary_location":{"id":"doi:10.1007/3-540-44957-4_47","is_oa":false,"landing_page_url":"https://doi.org/10.1007/3-540-44957-4_47","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"type":"book-chapter","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/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":true,"raw_author_name":"Marc Denecker","raw_affiliation_strings":["Department of Computer Science, K.U.Leuven, Celestijnenlaan 200A, B-3001, Heverlee, Belgium"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, K.U.Leuven, Celestijnenlaan 200A, B-3001, Heverlee, Belgium","institution_ids":["https://openalex.org/I99464096"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5090754913"],"corresponding_institution_ids":["https://openalex.org/I99464096"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":6.1304,"has_fulltext":false,"cited_by_count":88,"citation_normalized_percentile":{"value":0.96720278,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":null,"issue":null,"first_page":"703","last_page":"717"},"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/T10215","display_name":"Semantic Web and Ontologies","score":0.9948999881744385,"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":0.9901999831199646,"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/computer-science","display_name":"Computer science","score":0.6840597987174988},{"id":"https://openalex.org/keywords/non-monotonic-logic","display_name":"Non-monotonic logic","score":0.5754241943359375},{"id":"https://openalex.org/keywords/inductive-logic-programming","display_name":"Inductive logic programming","score":0.5707278847694397},{"id":"https://openalex.org/keywords/knowledge-representation-and-reasoning","display_name":"Knowledge representation and reasoning","score":0.5444352626800537},{"id":"https://openalex.org/keywords/monotonic-function","display_name":"Monotonic function","score":0.5360897183418274},{"id":"https://openalex.org/keywords/classical-logic","display_name":"Classical logic","score":0.4527939558029175},{"id":"https://openalex.org/keywords/representation","display_name":"Representation (politics)","score":0.4229416847229004},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.4029639959335327},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.36268746852874756},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.3389948010444641},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.24434539675712585}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6840597987174988},{"id":"https://openalex.org/C159032336","wikidata":"https://www.wikidata.org/wiki/Q2488768","display_name":"Non-monotonic logic","level":2,"score":0.5754241943359375},{"id":"https://openalex.org/C2779382394","wikidata":"https://www.wikidata.org/wiki/Q1464197","display_name":"Inductive logic programming","level":2,"score":0.5707278847694397},{"id":"https://openalex.org/C161301231","wikidata":"https://www.wikidata.org/wiki/Q3478658","display_name":"Knowledge representation and reasoning","level":2,"score":0.5444352626800537},{"id":"https://openalex.org/C72169020","wikidata":"https://www.wikidata.org/wiki/Q194404","display_name":"Monotonic function","level":2,"score":0.5360897183418274},{"id":"https://openalex.org/C32241873","wikidata":"https://www.wikidata.org/wiki/Q236975","display_name":"Classical logic","level":2,"score":0.4527939558029175},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.4229416847229004},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.4029639959335327},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.36268746852874756},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.3389948010444641},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.24434539675712585},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"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/C94625758","wikidata":"https://www.wikidata.org/wiki/Q7163","display_name":"Politics","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/3-540-44957-4_47","is_oa":false,"landing_page_url":"https://doi.org/10.1007/3-540-44957-4_47","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":39,"referenced_works":["https://openalex.org/W45950018","https://openalex.org/W81942528","https://openalex.org/W132036571","https://openalex.org/W166785350","https://openalex.org/W194413726","https://openalex.org/W200551822","https://openalex.org/W1177814939","https://openalex.org/W1494051470","https://openalex.org/W1544675707","https://openalex.org/W1546704200","https://openalex.org/W1558832481","https://openalex.org/W1579817075","https://openalex.org/W1583630875","https://openalex.org/W1591825827","https://openalex.org/W1601625095","https://openalex.org/W1601797966","https://openalex.org/W1672891595","https://openalex.org/W1766332311","https://openalex.org/W1956187187","https://openalex.org/W1968513265","https://openalex.org/W1969682671","https://openalex.org/W1987005090","https://openalex.org/W1988882917","https://openalex.org/W1999901857","https://openalex.org/W2000264802","https://openalex.org/W2003531456","https://openalex.org/W2012767403","https://openalex.org/W2041428960","https://openalex.org/W2046213250","https://openalex.org/W2059572526","https://openalex.org/W2076698873","https://openalex.org/W2108911687","https://openalex.org/W2132745831","https://openalex.org/W2138162238","https://openalex.org/W2179366951","https://openalex.org/W2914983426","https://openalex.org/W2945259913","https://openalex.org/W4212881215","https://openalex.org/W4229938980"],"related_works":["https://openalex.org/W2963363254","https://openalex.org/W2009605580","https://openalex.org/W103453178","https://openalex.org/W18057289","https://openalex.org/W1998473542","https://openalex.org/W1585020906","https://openalex.org/W2544384203","https://openalex.org/W2595762659","https://openalex.org/W205822604","https://openalex.org/W1537171008"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":1},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":3},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":4},{"year":2012,"cited_by_count":2}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}