{"id":"https://openalex.org/W1507936549","doi":"https://doi.org/10.1007/11538363_12","title":"On the Role of Type Decorations in the Calculus of Inductive Constructions","display_name":"On the Role of Type Decorations in the Calculus of Inductive Constructions","publication_year":2005,"publication_date":"2005-01-01","ids":{"openalex":"https://openalex.org/W1507936549","doi":"https://doi.org/10.1007/11538363_12","mag":"1507936549"},"language":"en","primary_location":{"id":"doi:10.1007/11538363_12","is_oa":false,"landing_page_url":"https://doi.org/10.1007/11538363_12","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/A5000839306","display_name":"Bruno Barras","orcid":null},"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"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Bruno Barras","raw_affiliation_strings":["INRIA Futurs, France"],"affiliations":[{"raw_affiliation_string":"INRIA Futurs, France","institution_ids":["https://openalex.org/I1326498283"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5103256238","display_name":"Benjamin Gr\u00e9goire","orcid":"https://orcid.org/0000-0001-6650-9924"},"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"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Benjamin Gr\u00e9goire","raw_affiliation_strings":["INRIA Sophia-Antipolis, France"],"affiliations":[{"raw_affiliation_string":"INRIA Sophia-Antipolis, France","institution_ids":["https://openalex.org/I1326498283"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5000839306"],"corresponding_institution_ids":["https://openalex.org/I1326498283"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":0.7461,"has_fulltext":false,"cited_by_count":13,"citation_normalized_percentile":{"value":0.69862132,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":null,"issue":null,"first_page":"151","last_page":"166"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10126","display_name":"Logic, programming, and type systems","score":0.9994999766349792,"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":0.9994999766349792,"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":0.9890999794006348,"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/T11567","display_name":"semigroups and automata theory","score":0.9861999750137329,"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/type","display_name":"Type (biology)","score":0.7510672807693481},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.6549218893051147},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5714141726493835},{"id":"https://openalex.org/keywords/type-theory","display_name":"Type theory","score":0.4860118329524994},{"id":"https://openalex.org/keywords/inductive-method","display_name":"Inductive method","score":0.43068861961364746},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3593861162662506},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.3444557189941406},{"id":"https://openalex.org/keywords/mathematics-education","display_name":"Mathematics education","score":0.16943728923797607},{"id":"https://openalex.org/keywords/medicine","display_name":"Medicine","score":0.08286610245704651},{"id":"https://openalex.org/keywords/dentistry","display_name":"Dentistry","score":0.0694572925567627},{"id":"https://openalex.org/keywords/geology","display_name":"Geology","score":0.06769132614135742},{"id":"https://openalex.org/keywords/teaching-method","display_name":"Teaching method","score":0.03776592016220093}],"concepts":[{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.7510672807693481},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.6549218893051147},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5714141726493835},{"id":"https://openalex.org/C93682546","wikidata":"https://www.wikidata.org/wiki/Q1056428","display_name":"Type theory","level":3,"score":0.4860118329524994},{"id":"https://openalex.org/C2993131915","wikidata":"https://www.wikidata.org/wiki/Q484511","display_name":"Inductive method","level":3,"score":0.43068861961364746},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3593861162662506},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3444557189941406},{"id":"https://openalex.org/C145420912","wikidata":"https://www.wikidata.org/wiki/Q853077","display_name":"Mathematics education","level":1,"score":0.16943728923797607},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.08286610245704651},{"id":"https://openalex.org/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","level":1,"score":0.0694572925567627},{"id":"https://openalex.org/C127313418","wikidata":"https://www.wikidata.org/wiki/Q1069","display_name":"Geology","level":0,"score":0.06769132614135742},{"id":"https://openalex.org/C88610354","wikidata":"https://www.wikidata.org/wiki/Q1813494","display_name":"Teaching method","level":2,"score":0.03776592016220093},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/11538363_12","is_oa":false,"landing_page_url":"https://doi.org/10.1007/11538363_12","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:10.1.1.61.2666","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.61.2666","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www-sop.inria.fr/everest/Benjamin.Gregoire/Publi/equiv.ps.gz","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":15,"referenced_works":["https://openalex.org/W2145199","https://openalex.org/W131776992","https://openalex.org/W1511937404","https://openalex.org/W1533074262","https://openalex.org/W1607231186","https://openalex.org/W1966663897","https://openalex.org/W1971128176","https://openalex.org/W2036414952","https://openalex.org/W2044758536","https://openalex.org/W2124729849","https://openalex.org/W2168254994","https://openalex.org/W2168328957","https://openalex.org/W2476069610","https://openalex.org/W2498316819","https://openalex.org/W4388299483"],"related_works":["https://openalex.org/W4306816010","https://openalex.org/W2787703111","https://openalex.org/W2932790846","https://openalex.org/W4386614239","https://openalex.org/W2163980057","https://openalex.org/W3120415410","https://openalex.org/W4306353309","https://openalex.org/W4225424606","https://openalex.org/W4283575722","https://openalex.org/W2117463039"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":2},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"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"}