{"id":"https://openalex.org/W1589274641","doi":"https://doi.org/10.1007/11532231_2","title":"Reflecting Proofs in First-Order Logic with Equality","display_name":"Reflecting Proofs in First-Order Logic with Equality","publication_year":2005,"publication_date":"2005-01-01","ids":{"openalex":"https://openalex.org/W1589274641","doi":"https://doi.org/10.1007/11532231_2","mag":"1589274641"},"language":"en","primary_location":{"id":"doi:10.1007/11532231_2","is_oa":false,"landing_page_url":"https://doi.org/10.1007/11532231_2","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/A5014621785","display_name":"\u00c9velyne Contejean","orcid":"https://orcid.org/0000-0002-8195-7861"},"institutions":[{"id":"https://openalex.org/I4210144804","display_name":"Laboratoire de Recherche en Informatique","ror":"https://ror.org/04e3ktk27","country_code":"FR","type":"facility","lineage":["https://openalex.org/I102197404","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I4210144804","https://openalex.org/I4210159245"]},{"id":"https://openalex.org/I102197404","display_name":"Universit\u00e9 Paris-Sud","ror":"https://ror.org/028rypz17","country_code":"FR","type":"education","lineage":["https://openalex.org/I102197404"]},{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"funder","lineage":["https://openalex.org/I1294671590"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Evelyne Contejean","raw_affiliation_strings":["PCRI \u2014 LRI (CNRS UMR 8623) & INRIA Futurs, B\u00e2t. 490, Universit\u00e9 Paris-Sud, Centre d\u2019Orsay, 91405, Orsay Cedex, France","TOCCATA - Formally Verified Programs,   Certified Tools and Numerical Computations (Universit\u00e9 Paris-Sud ; B\u00e2timent 650 ; 91405 ORSAY CEDEX - France)","LRI - Laboratoire de Recherche en Informatique (LRI - B\u00e2timents 650-660 Universit\u00e9 Paris-Sud 91405 Orsay Cedex - France)"],"affiliations":[{"raw_affiliation_string":"PCRI \u2014 LRI (CNRS UMR 8623) & INRIA Futurs, B\u00e2t. 490, Universit\u00e9 Paris-Sud, Centre d\u2019Orsay, 91405, Orsay Cedex, France","institution_ids":["https://openalex.org/I102197404","https://openalex.org/I1294671590","https://openalex.org/I4210144804"]},{"raw_affiliation_string":"TOCCATA - Formally Verified Programs,   Certified Tools and Numerical Computations (Universit\u00e9 Paris-Sud ; B\u00e2timent 650 ; 91405 ORSAY CEDEX - France)","institution_ids":["https://openalex.org/I102197404"]},{"raw_affiliation_string":"LRI - Laboratoire de Recherche en Informatique (LRI - B\u00e2timents 650-660 Universit\u00e9 Paris-Sud 91405 Orsay Cedex - France)","institution_ids":["https://openalex.org/I102197404","https://openalex.org/I4210144804"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5032042061","display_name":"Pierre Corbineau","orcid":"https://orcid.org/0000-0001-9267-7593"},"institutions":[{"id":"https://openalex.org/I4210156361","display_name":"Verimag","ror":"https://ror.org/05afmzm11","country_code":"FR","type":"facility","lineage":["https://openalex.org/I106785703","https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I4210156361","https://openalex.org/I4210159245","https://openalex.org/I899635006"]},{"id":"https://openalex.org/I4210144804","display_name":"Laboratoire de Recherche en Informatique","ror":"https://ror.org/04e3ktk27","country_code":"FR","type":"facility","lineage":["https://openalex.org/I102197404","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I4210144804","https://openalex.org/I4210159245"]},{"id":"https://openalex.org/I102197404","display_name":"Universit\u00e9 Paris-Sud","ror":"https://ror.org/028rypz17","country_code":"FR","type":"education","lineage":["https://openalex.org/I102197404"]},{"id":"https://openalex.org/I899635006","display_name":"Universit\u00e9 Grenoble Alpes","ror":"https://ror.org/02rx3b187","country_code":"FR","type":"education","lineage":["https://openalex.org/I899635006"]},{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"funder","lineage":["https://openalex.org/I1294671590"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Pierre Corbineau","raw_affiliation_strings":["PCRI \u2014 LRI (CNRS UMR 8623) & INRIA Futurs, B\u00e2t. 490, Universit\u00e9 Paris-Sud, Centre d\u2019Orsay, 91405, Orsay Cedex, France","VERIMAG - IMAG - VERIMAG (Verimag\r\nB\u00e2timent IMAG\r\nUniversit\u00e9 Grenoble Alpes\r\n700, avenue centrale\r\n38401 Saint Martin d\u2019H\u00e8res\r\nFrance - France)"],"affiliations":[{"raw_affiliation_string":"PCRI \u2014 LRI (CNRS UMR 8623) & INRIA Futurs, B\u00e2t. 490, Universit\u00e9 Paris-Sud, Centre d\u2019Orsay, 91405, Orsay Cedex, France","institution_ids":["https://openalex.org/I102197404","https://openalex.org/I1294671590","https://openalex.org/I4210144804"]},{"raw_affiliation_string":"VERIMAG - IMAG - VERIMAG (Verimag\r\nB\u00e2timent IMAG\r\nUniversit\u00e9 Grenoble Alpes\r\n700, avenue centrale\r\n38401 Saint Martin d\u2019H\u00e8res\r\nFrance - France)","institution_ids":["https://openalex.org/I4210156361","https://openalex.org/I899635006"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5014621785"],"corresponding_institution_ids":["https://openalex.org/I102197404","https://openalex.org/I1294671590","https://openalex.org/I4210144804"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":0.7461,"has_fulltext":false,"cited_by_count":22,"citation_normalized_percentile":{"value":0.71930147,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":100},"biblio":{"volume":null,"issue":null,"first_page":"7","last_page":"22"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10126","display_name":"Logic, programming, and type systems","score":0.9998999834060669,"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/T10126","display_name":"Logic, programming, and type systems","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/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.9966999888420105,"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":0.9958999752998352,"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/mathematical-proof","display_name":"Mathematical proof","score":0.8487017750740051},{"id":"https://openalex.org/keywords/automated-theorem-proving","display_name":"Automated theorem proving","score":0.7834196090698242},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.7682400941848755},{"id":"https://openalex.org/keywords/proof-assistant","display_name":"Proof assistant","score":0.7542721629142761},{"id":"https://openalex.org/keywords/interpreter","display_name":"Interpreter","score":0.7189401984214783},{"id":"https://openalex.org/keywords/gas-meter-prover","display_name":"Gas meter prover","score":0.6438146829605103},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.5883228778839111},{"id":"https://openalex.org/keywords/automated-proof-checking","display_name":"Automated proof checking","score":0.5379406213760376},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.5019993782043457},{"id":"https://openalex.org/keywords/first-order-logic","display_name":"First-order logic","score":0.49724534153938293},{"id":"https://openalex.org/keywords/reflection","display_name":"Reflection (computer programming)","score":0.4862881600856781},{"id":"https://openalex.org/keywords/type-theory","display_name":"Type theory","score":0.4444279670715332},{"id":"https://openalex.org/keywords/automation","display_name":"Automation","score":0.44244664907455444},{"id":"https://openalex.org/keywords/type","display_name":"Type (biology)","score":0.27131086587905884},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.17703977227210999}],"concepts":[{"id":"https://openalex.org/C108710211","wikidata":"https://www.wikidata.org/wiki/Q11538","display_name":"Mathematical proof","level":2,"score":0.8487017750740051},{"id":"https://openalex.org/C206880738","wikidata":"https://www.wikidata.org/wiki/Q431667","display_name":"Automated theorem proving","level":2,"score":0.7834196090698242},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7682400941848755},{"id":"https://openalex.org/C203265346","wikidata":"https://www.wikidata.org/wiki/Q11387554","display_name":"Proof assistant","level":3,"score":0.7542721629142761},{"id":"https://openalex.org/C122783720","wikidata":"https://www.wikidata.org/wiki/Q183065","display_name":"Interpreter","level":2,"score":0.7189401984214783},{"id":"https://openalex.org/C159718280","wikidata":"https://www.wikidata.org/wiki/Q5526353","display_name":"Gas meter prover","level":3,"score":0.6438146829605103},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.5883228778839111},{"id":"https://openalex.org/C13766981","wikidata":"https://www.wikidata.org/wiki/Q11387554","display_name":"Automated proof checking","level":3,"score":0.5379406213760376},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.5019993782043457},{"id":"https://openalex.org/C100481476","wikidata":"https://www.wikidata.org/wiki/Q4055684","display_name":"First-order logic","level":2,"score":0.49724534153938293},{"id":"https://openalex.org/C65682993","wikidata":"https://www.wikidata.org/wiki/Q1056451","display_name":"Reflection (computer programming)","level":2,"score":0.4862881600856781},{"id":"https://openalex.org/C93682546","wikidata":"https://www.wikidata.org/wiki/Q1056428","display_name":"Type theory","level":3,"score":0.4444279670715332},{"id":"https://openalex.org/C115901376","wikidata":"https://www.wikidata.org/wiki/Q184199","display_name":"Automation","level":2,"score":0.44244664907455444},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.27131086587905884},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.17703977227210999},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"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/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","level":1,"score":0.0},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1007/11532231_2","is_oa":false,"landing_page_url":"https://doi.org/10.1007/11532231_2","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:CiteSeerX.psu:10.1.1.108.7470","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.108.7470","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.cs.ru.nl/~corbineau/ftp/publis/cade05.pdf","raw_type":"text"},{"id":"pmh:oai:HAL:hal-00946061v1","is_oa":false,"landing_page_url":"https://inria.hal.science/hal-00946061","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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"20th International Conference on Automated Deduction (CADE-20), 2005, Tallinn, Estonia. pp.7--22, ⟨10.1007/11532231_2⟩","raw_type":"Conference papers"},{"id":"pmh:oai:repository.ubn.ru.nl:2066/32918","is_oa":false,"landing_page_url":"http://hdl.handle.net/2066/32918","pdf_url":null,"source":{"id":"https://openalex.org/S4306401067","display_name":"Radboud Repository (Radboud University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I145872427","host_organization_name":"Radboud University Nijmegen","host_organization_lineage":["https://openalex.org/I145872427"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Nieuwenhuis R. (ed.), Automated Deduction \u2013 CADE-20: 20th International Conference on Automated Deduction, Tallinn, Estonia, July 22-27, 2005, Proceedings, pp. 7-22","raw_type":"Article in monograph or in proceedings"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/16","display_name":"Peace, Justice and strong institutions","score":0.46000000834465027}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":21,"referenced_works":["https://openalex.org/W123168770","https://openalex.org/W566436982","https://openalex.org/W1545369278","https://openalex.org/W1546270920","https://openalex.org/W1560253649","https://openalex.org/W1589421353","https://openalex.org/W1595374223","https://openalex.org/W1601123793","https://openalex.org/W1611906969","https://openalex.org/W1646117648","https://openalex.org/W2051518991","https://openalex.org/W2094288613","https://openalex.org/W2120926795","https://openalex.org/W2131739376","https://openalex.org/W2168254994","https://openalex.org/W2168281995","https://openalex.org/W2479999086","https://openalex.org/W2568721247","https://openalex.org/W2618896829","https://openalex.org/W2749479972","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W2124145386","https://openalex.org/W3100311625","https://openalex.org/W2003964583","https://openalex.org/W2160478595","https://openalex.org/W4300497654","https://openalex.org/W2809689211","https://openalex.org/W2128287662","https://openalex.org/W2107302096","https://openalex.org/W2792493843","https://openalex.org/W2741417968"],"abstract_inverted_index":null,"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2016,"cited_by_count":13},{"year":2015,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}