{"id":"https://openalex.org/W1852954869","doi":"https://doi.org/10.1007/978-3-540-45085-6_26","title":"Proof Search and Proof Check for Equational and Inductive Theorems","display_name":"Proof Search and Proof Check for Equational and Inductive Theorems","publication_year":2003,"publication_date":"2003-01-01","ids":{"openalex":"https://openalex.org/W1852954869","doi":"https://doi.org/10.1007/978-3-540-45085-6_26","mag":"1852954869"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-540-45085-6_26","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-540-45085-6_26","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":true,"oa_status":"green","oa_url":"https://inria.hal.science/inria-00099470","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5077438053","display_name":"Eric Deplagne","orcid":null},"institutions":[{"id":"https://openalex.org/I4210121838","display_name":"Laboratoire Lorrain de Recherche en Informatique et ses Applications","ror":"https://ror.org/02vnf0c38","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I277688954","https://openalex.org/I4210107720","https://openalex.org/I4210121838","https://openalex.org/I4210159245","https://openalex.org/I90183372"]},{"id":"https://openalex.org/I1326498283","display_name":"Institut national de recherche en informatique et en automatique","ror":"https://ror.org/02kvxyf05","country_code":"FR","type":"funder","lineage":["https://openalex.org/I1326498283"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Eric Deplagne","raw_affiliation_strings":["LORIA-INRIA-CNRS, BP 239, F-54506, Vand\u0153uvre-l\u00e8s-Nancy Cedex"],"affiliations":[{"raw_affiliation_string":"LORIA-INRIA-CNRS, BP 239, F-54506, Vand\u0153uvre-l\u00e8s-Nancy Cedex","institution_ids":["https://openalex.org/I1326498283","https://openalex.org/I4210121838"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5055776480","display_name":"Claude Kirchner","orcid":"https://orcid.org/0009-0001-6778-1791"},"institutions":[{"id":"https://openalex.org/I1326498283","display_name":"Institut national de recherche en informatique et en automatique","ror":"https://ror.org/02kvxyf05","country_code":"FR","type":"funder","lineage":["https://openalex.org/I1326498283"]},{"id":"https://openalex.org/I4210121838","display_name":"Laboratoire Lorrain de Recherche en Informatique et ses Applications","ror":"https://ror.org/02vnf0c38","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I277688954","https://openalex.org/I4210107720","https://openalex.org/I4210121838","https://openalex.org/I4210159245","https://openalex.org/I90183372"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Claude Kirchner","raw_affiliation_strings":["LORIA-INRIA-CNRS, BP 239, F-54506, Vand\u0153uvre-l\u00e8s-Nancy Cedex"],"affiliations":[{"raw_affiliation_string":"LORIA-INRIA-CNRS, BP 239, F-54506, Vand\u0153uvre-l\u00e8s-Nancy Cedex","institution_ids":["https://openalex.org/I1326498283","https://openalex.org/I4210121838"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5055776480","display_name":"Claude Kirchner","orcid":"https://orcid.org/0009-0001-6778-1791"},"institutions":[{"id":"https://openalex.org/I1326498283","display_name":"Institut national de recherche en informatique et en automatique","ror":"https://ror.org/02kvxyf05","country_code":"FR","type":"funder","lineage":["https://openalex.org/I1326498283"]},{"id":"https://openalex.org/I4210121838","display_name":"Laboratoire Lorrain de Recherche en Informatique et ses Applications","ror":"https://ror.org/02vnf0c38","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I277688954","https://openalex.org/I4210107720","https://openalex.org/I4210121838","https://openalex.org/I4210159245","https://openalex.org/I90183372"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"H\u00e9l\u00e8ne Kirchner","raw_affiliation_strings":["LORIA-INRIA-CNRS, BP 239, F-54506, Vand\u0153uvre-l\u00e8s-Nancy Cedex"],"affiliations":[{"raw_affiliation_string":"LORIA-INRIA-CNRS, BP 239, F-54506, Vand\u0153uvre-l\u00e8s-Nancy Cedex","institution_ids":["https://openalex.org/I1326498283","https://openalex.org/I4210121838"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5091333725","display_name":"Quang H. Nguyen","orcid":"https://orcid.org/0000-0001-9080-4499"},"institutions":[{"id":"https://openalex.org/I1326498283","display_name":"Institut national de recherche en informatique et en automatique","ror":"https://ror.org/02kvxyf05","country_code":"FR","type":"funder","lineage":["https://openalex.org/I1326498283"]},{"id":"https://openalex.org/I4210121838","display_name":"Laboratoire Lorrain de Recherche en Informatique et ses Applications","ror":"https://ror.org/02vnf0c38","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I277688954","https://openalex.org/I4210107720","https://openalex.org/I4210121838","https://openalex.org/I4210159245","https://openalex.org/I90183372"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Quang Huy Nguyen","raw_affiliation_strings":["LORIA-INRIA-CNRS, BP 239, F-54506, Vand\u0153uvre-l\u00e8s-Nancy Cedex"],"affiliations":[{"raw_affiliation_string":"LORIA-INRIA-CNRS, BP 239, F-54506, Vand\u0153uvre-l\u00e8s-Nancy Cedex","institution_ids":["https://openalex.org/I1326498283","https://openalex.org/I4210121838"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5077438053"],"corresponding_institution_ids":["https://openalex.org/I1326498283","https://openalex.org/I4210121838"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":1.381,"has_fulltext":false,"cited_by_count":15,"citation_normalized_percentile":{"value":0.81836453,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"297","last_page":"316"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10126","display_name":"Logic, programming, and type systems","score":0.9998000264167786,"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/T10126","display_name":"Logic, programming, and type systems","score":0.9998000264167786,"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":0.9939000010490417,"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":0.988099992275238,"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/rewriting","display_name":"Rewriting","score":0.9133566617965698},{"id":"https://openalex.org/keywords/mathematical-proof","display_name":"Mathematical proof","score":0.8736460208892822},{"id":"https://openalex.org/keywords/structural-proof-theory","display_name":"Structural proof theory","score":0.7964163422584534},{"id":"https://openalex.org/keywords/proof-assistant","display_name":"Proof assistant","score":0.6991162300109863},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6733940839767456},{"id":"https://openalex.org/keywords/automated-theorem-proving","display_name":"Automated theorem proving","score":0.6227728128433228},{"id":"https://openalex.org/keywords/analytic-proof","display_name":"Analytic proof","score":0.6202881336212158},{"id":"https://openalex.org/keywords/proof-complexity","display_name":"Proof complexity","score":0.6079559326171875},{"id":"https://openalex.org/keywords/computer-assisted-proof","display_name":"Computer-assisted proof","score":0.6076904535293579},{"id":"https://openalex.org/keywords/modulo","display_name":"Modulo","score":0.6007950901985168},{"id":"https://openalex.org/keywords/automated-proof-checking","display_name":"Automated proof checking","score":0.5549858808517456},{"id":"https://openalex.org/keywords/representation","display_name":"Representation (politics)","score":0.49505773186683655},{"id":"https://openalex.org/keywords/proof-theory","display_name":"Proof theory","score":0.4946429431438446},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.4296768307685852},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.41979289054870605},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.29266026616096497},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.269555002450943}],"concepts":[{"id":"https://openalex.org/C154690210","wikidata":"https://www.wikidata.org/wiki/Q1668499","display_name":"Rewriting","level":2,"score":0.9133566617965698},{"id":"https://openalex.org/C108710211","wikidata":"https://www.wikidata.org/wiki/Q11538","display_name":"Mathematical proof","level":2,"score":0.8736460208892822},{"id":"https://openalex.org/C195653647","wikidata":"https://www.wikidata.org/wiki/Q7625047","display_name":"Structural proof theory","level":4,"score":0.7964163422584534},{"id":"https://openalex.org/C203265346","wikidata":"https://www.wikidata.org/wiki/Q11387554","display_name":"Proof assistant","level":3,"score":0.6991162300109863},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6733940839767456},{"id":"https://openalex.org/C206880738","wikidata":"https://www.wikidata.org/wiki/Q431667","display_name":"Automated theorem proving","level":2,"score":0.6227728128433228},{"id":"https://openalex.org/C135754263","wikidata":"https://www.wikidata.org/wiki/Q4751136","display_name":"Analytic proof","level":3,"score":0.6202881336212158},{"id":"https://openalex.org/C105605280","wikidata":"https://www.wikidata.org/wiki/Q7249999","display_name":"Proof complexity","level":3,"score":0.6079559326171875},{"id":"https://openalex.org/C173613240","wikidata":"https://www.wikidata.org/wiki/Q1150675","display_name":"Computer-assisted proof","level":3,"score":0.6076904535293579},{"id":"https://openalex.org/C54732982","wikidata":"https://www.wikidata.org/wiki/Q1415345","display_name":"Modulo","level":2,"score":0.6007950901985168},{"id":"https://openalex.org/C13766981","wikidata":"https://www.wikidata.org/wiki/Q11387554","display_name":"Automated proof checking","level":3,"score":0.5549858808517456},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.49505773186683655},{"id":"https://openalex.org/C2318724","wikidata":"https://www.wikidata.org/wiki/Q852732","display_name":"Proof theory","level":3,"score":0.4946429431438446},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.4296768307685852},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.41979289054870605},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.29266026616096497},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.269555002450943},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"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/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","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},{"id":"https://openalex.org/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","level":1,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/978-3-540-45085-6_26","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-540-45085-6_26","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"},{"id":"pmh:oai:HAL:inria-00099470v1","is_oa":true,"landing_page_url":"https://inria.hal.science/inria-00099470","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Conference on Automated Deduction - CADE-19, Jul 2003, Miami (FL), United States. 20 p, ⟨10.1007/978-3-540-45085-6_26⟩","raw_type":"Conference papers"}],"best_oa_location":{"id":"pmh:oai:HAL:inria-00099470v1","is_oa":true,"landing_page_url":"https://inria.hal.science/inria-00099470","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Conference on Automated Deduction - CADE-19, Jul 2003, Miami (FL), United States. 20 p, ⟨10.1007/978-3-540-45085-6_26⟩","raw_type":"Conference papers"},"sustainable_development_goals":[{"score":0.4399999976158142,"id":"https://metadata.un.org/sdg/17","display_name":"Partnerships for the goals"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":48,"referenced_works":["https://openalex.org/W3002993","https://openalex.org/W26772505","https://openalex.org/W88653279","https://openalex.org/W1482715091","https://openalex.org/W1491750481","https://openalex.org/W1499782681","https://openalex.org/W1505627668","https://openalex.org/W1514486135","https://openalex.org/W1525737662","https://openalex.org/W1531350193","https://openalex.org/W1557417437","https://openalex.org/W1558970122","https://openalex.org/W1582156629","https://openalex.org/W1594381772","https://openalex.org/W1600801728","https://openalex.org/W1607231186","https://openalex.org/W1727609483","https://openalex.org/W1735366290","https://openalex.org/W1772195298","https://openalex.org/W1819951499","https://openalex.org/W1928673936","https://openalex.org/W1949275316","https://openalex.org/W1986402635","https://openalex.org/W1992452788","https://openalex.org/W1996404651","https://openalex.org/W2023145007","https://openalex.org/W2034711041","https://openalex.org/W2042924775","https://openalex.org/W2048280348","https://openalex.org/W2056016391","https://openalex.org/W2117029917","https://openalex.org/W2128180740","https://openalex.org/W2132638915","https://openalex.org/W2147892488","https://openalex.org/W2153297607","https://openalex.org/W2154105994","https://openalex.org/W2168281995","https://openalex.org/W2295866357","https://openalex.org/W2479999086","https://openalex.org/W2493860389","https://openalex.org/W2494576483","https://openalex.org/W2499957903","https://openalex.org/W2504648778","https://openalex.org/W2609791467","https://openalex.org/W2716956555","https://openalex.org/W2735005495","https://openalex.org/W4285719527","https://openalex.org/W4292003697"],"related_works":["https://openalex.org/W4234403895","https://openalex.org/W3163122332","https://openalex.org/W2463991046","https://openalex.org/W1852954869","https://openalex.org/W1614097270","https://openalex.org/W2055920195","https://openalex.org/W187835144","https://openalex.org/W2795365301","https://openalex.org/W1854326666","https://openalex.org/W31551598"],"abstract_inverted_index":null,"counts_by_year":[{"year":2016,"cited_by_count":2},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}