{"id":"https://openalex.org/W2040138329","doi":"https://doi.org/10.1051/ita:1999115","title":"Normalisation of the Theory<b>T</b>of Cartesian Closed Categories and Conservativity of Extensions<b>T</b>[<i>x</i>] of<b>T</b>","display_name":"Normalisation of the Theory<b>T</b>of Cartesian Closed Categories and Conservativity of Extensions<b>T</b>[<i>x</i>] of<b>T</b>","publication_year":1999,"publication_date":"1999-05-01","ids":{"openalex":"https://openalex.org/W2040138329","doi":"https://doi.org/10.1051/ita:1999115","mag":"2040138329"},"language":"en","primary_location":{"id":"doi:10.1051/ita:1999115","is_oa":false,"landing_page_url":"https://doi.org/10.1051/ita:1999115","pdf_url":null,"source":{"id":"https://openalex.org/S6941720","display_name":"RAIRO - Theoretical Informatics and Applications","issn_l":"0988-3754","issn":["0988-3754","1290-385X","2804-7346"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319748","host_organization_name":"EDP Sciences","host_organization_lineage":["https://openalex.org/P4310319748"],"host_organization_lineage_names":["EDP Sciences"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"RAIRO - Theoretical Informatics and Applications","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/A5079203732","display_name":"Anne Preller","orcid":null},"institutions":[{"id":"https://openalex.org/I4210101743","display_name":"Laboratoire d'Informatique, de Robotique et de Micro\u00e9lectronique de Montpellier","ror":"https://ror.org/013yean28","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I151295451","https://openalex.org/I19894307","https://openalex.org/I4210101743","https://openalex.org/I4210159245","https://openalex.org/I4405261681"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Anne Preller","raw_affiliation_strings":["LIRMM, 161 rue ADA, 34392 Montpellier, France; preller@lirmm.fr"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"LIRMM, 161 rue ADA, 34392 Montpellier, France; preller@lirmm.fr","institution_ids":["https://openalex.org/I4210101743"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5108520946","display_name":"Patrice Duroux","orcid":null},"institutions":[{"id":"https://openalex.org/I4210101743","display_name":"Laboratoire d'Informatique, de Robotique et de Micro\u00e9lectronique de Montpellier","ror":"https://ror.org/013yean28","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I151295451","https://openalex.org/I19894307","https://openalex.org/I4210101743","https://openalex.org/I4210159245","https://openalex.org/I4405261681"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"P. Duroux","raw_affiliation_strings":["LIRMM, 161 rue ADA, 34392 Montpellier, France; duroux@lirmm.fr"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"LIRMM, 161 rue ADA, 34392 Montpellier, France; duroux@lirmm.fr","institution_ids":["https://openalex.org/I4210101743"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I4210101743"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.18985372,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"33","issue":"3","first_page":"227","last_page":"257"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10896","display_name":"Homotopy and Cohomology in Algebraic Topology","score":0.9955999851226807,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10896","display_name":"Homotopy and Cohomology in Algebraic Topology","score":0.9955999851226807,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12002","display_name":"Computability, Logic, AI Algorithms","score":0.9943000078201294,"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"}},{"id":"https://openalex.org/T11727","display_name":"Advanced Algebra and Logic","score":0.9939000010490417,"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/decidability","display_name":"Decidability","score":0.776279091835022},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7022563219070435},{"id":"https://openalex.org/keywords/morphism","display_name":"Morphism","score":0.6632422208786011},{"id":"https://openalex.org/keywords/cartesian-closed-category","display_name":"Cartesian closed category","score":0.6336216926574707},{"id":"https://openalex.org/keywords/cartesian-coordinate-system","display_name":"Cartesian coordinate system","score":0.4758695960044861},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.45215675234794617},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.33968257904052734}],"concepts":[{"id":"https://openalex.org/C153269930","wikidata":"https://www.wikidata.org/wiki/Q430001","display_name":"Decidability","level":2,"score":0.776279091835022},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7022563219070435},{"id":"https://openalex.org/C137212723","wikidata":"https://www.wikidata.org/wiki/Q1948412","display_name":"Morphism","level":2,"score":0.6632422208786011},{"id":"https://openalex.org/C171032842","wikidata":"https://www.wikidata.org/wiki/Q1725874","display_name":"Cartesian closed category","level":2,"score":0.6336216926574707},{"id":"https://openalex.org/C16038011","wikidata":"https://www.wikidata.org/wiki/Q62912","display_name":"Cartesian coordinate system","level":2,"score":0.4758695960044861},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.45215675234794617},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.33968257904052734},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1051/ita:1999115","is_oa":false,"landing_page_url":"https://doi.org/10.1051/ita:1999115","pdf_url":null,"source":{"id":"https://openalex.org/S6941720","display_name":"RAIRO - Theoretical Informatics and Applications","issn_l":"0988-3754","issn":["0988-3754","1290-385X","2804-7346"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319748","host_organization_name":"EDP Sciences","host_organization_lineage":["https://openalex.org/P4310319748"],"host_organization_lineage_names":["EDP Sciences"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"RAIRO - Theoretical Informatics and Applications","raw_type":"journal-article"},{"id":"pmh:oai:HAL:hal-05125536v1","is_oa":false,"landing_page_url":"https://hal.science/hal-05125536","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":"RAIRO - Theoretical Informatics and Applications (RAIRO: ITA), 1999, 33 (3), pp.227-257. &#x27E8;10.1051/ita:1999115&#x27E9;","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/10","score":0.5099999904632568,"display_name":"Reduced inequalities"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":7,"referenced_works":["https://openalex.org/W102475405","https://openalex.org/W1765415708","https://openalex.org/W2049362364","https://openalex.org/W2081822152","https://openalex.org/W2090644756","https://openalex.org/W2127791900","https://openalex.org/W2141636159"],"related_works":["https://openalex.org/W184516599","https://openalex.org/W1485481267","https://openalex.org/W1974626062","https://openalex.org/W1513699017","https://openalex.org/W2795046794","https://openalex.org/W3139194082","https://openalex.org/W2372920785","https://openalex.org/W1693746038","https://openalex.org/W2025635372","https://openalex.org/W2004020810"],"abstract_inverted_index":{"Using":[0],"an":[1],"inductive":[2,34],"definition":[3,35],"of":[4,7,10,18,27,30,45],"normal":[5],"terms":[6],"the":[8,28],"theory":[9,48],"Cartesian":[11],"Closed":[12],"Categories":[13],"with":[14],"a":[15,23,47],"given":[16],"graph":[17],"distinguished":[19],"morphisms,":[20],"we":[21],"give":[22],"reduction":[24],"free":[25],"proof":[26],"decidability":[29],"this":[31],"theory.":[32],"This":[33],"enables":[36],"us":[37],"to":[38],"show":[39],"via":[40],"functional":[41],"completeness":[42],"that":[43],"extensions":[44],"such":[46],"by":[49],"new":[50],"constants":[51],"(\u201cindeterminates\u201d)":[52],"are":[53],"conservative.":[54]},"counts_by_year":[],"updated_date":"2026-07-07T14:30:12.667765","created_date":"2025-10-10T00:00:00"}
