{"id":"https://openalex.org/W2064744640","doi":"https://doi.org/10.1017/s0960129514000528","title":"A dependently-typed construction of semi-simplicial types","display_name":"A dependently-typed construction of semi-simplicial types","publication_year":2014,"publication_date":"2014-11-20","ids":{"openalex":"https://openalex.org/W2064744640","doi":"https://doi.org/10.1017/s0960129514000528","mag":"2064744640"},"language":"en","primary_location":{"id":"doi:10.1017/s0960129514000528","is_oa":true,"landing_page_url":"https://doi.org/10.1017/s0960129514000528","pdf_url":"https://www.cambridge.org/core/services/aop-cambridge-core/content/view/B11CBF001D1BAB17A3F28FDF9A055D32/S0960129514000528a.pdf/div-class-title-a-dependently-typed-construction-of-semi-simplicial-types-div.pdf","source":{"id":"https://openalex.org/S101766102","display_name":"Mathematical Structures in Computer Science","issn_l":"0960-1295","issn":["0960-1295","1469-8072"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311721","host_organization_name":"Cambridge University Press","host_organization_lineage":["https://openalex.org/P4310311721","https://openalex.org/P4310311702"],"host_organization_lineage_names":["Cambridge University Press","University of Cambridge"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematical Structures in Computer Science","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://www.cambridge.org/core/services/aop-cambridge-core/content/view/B11CBF001D1BAB17A3F28FDF9A055D32/S0960129514000528a.pdf/div-class-title-a-dependently-typed-construction-of-semi-simplicial-types-div.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5060487163","display_name":"Hugo Herbelin","orcid":"https://orcid.org/0009-0004-6927-3346"},"institutions":[{"id":"https://openalex.org/I204730241","display_name":"Universit\u00e9 Paris Cit\u00e9","ror":"https://ror.org/05f82e368","country_code":"FR","type":"education","lineage":["https://openalex.org/I204730241"]},{"id":"https://openalex.org/I4210139011","display_name":"Laboratory Preuves, Programmes et Syst\u00e8mes","ror":"https://ror.org/046p9e825","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I204730241","https://openalex.org/I4210139011","https://openalex.org/I4210159245"]},{"id":"https://openalex.org/I169173203","display_name":"D\u00e9l\u00e9gation Paris 7","ror":"https://ror.org/00bw5n526","country_code":"FR","type":"government","lineage":["https://openalex.org/I154526488","https://openalex.org/I169173203"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"HUGO HERBELIN","raw_affiliation_strings":["INRIA, PPS, Universit\u00e9 Paris-Diderot, Case 7014, 75205 Paris Cedex 13, France Email:","PPS - Preuves, Programmes et Syst\u00e8mes (Universit\u00e9 Paris Diderot, B\u00e2t. Sophie Germain, case postale 7014, 75205 Paris Cedex 13 - France)","PI.R2 - Design, study and implementation of languages for proofs and programs (8 Place Aur\u00e9lie Nemours\r\n75205 Paris Cedex 13 - France)"],"affiliations":[{"raw_affiliation_string":"INRIA, PPS, Universit\u00e9 Paris-Diderot, Case 7014, 75205 Paris Cedex 13, France Email:","institution_ids":["https://openalex.org/I204730241","https://openalex.org/I169173203"]},{"raw_affiliation_string":"PPS - Preuves, Programmes et Syst\u00e8mes (Universit\u00e9 Paris Diderot, B\u00e2t. Sophie Germain, case postale 7014, 75205 Paris Cedex 13 - France)","institution_ids":["https://openalex.org/I204730241","https://openalex.org/I4210139011"]},{"raw_affiliation_string":"PI.R2 - Design, study and implementation of languages for proofs and programs (8 Place Aur\u00e9lie Nemours\r\n75205 Paris Cedex 13 - France)","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5060487163"],"corresponding_institution_ids":["https://openalex.org/I169173203","https://openalex.org/I204730241","https://openalex.org/I4210139011"],"apc_list":null,"apc_paid":null,"fwci":1.8275,"has_fulltext":true,"cited_by_count":11,"citation_normalized_percentile":{"value":0.82972949,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"25","issue":"5","first_page":"1116","last_page":"1131"},"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":0.9997000098228455,"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":0.9997000098228455,"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/T11673","display_name":"Advanced Topics in Algebra","score":0.9925000071525574,"subfield":{"id":"https://openalex.org/subfields/2602","display_name":"Algebra and Number Theory"},"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/T10287","display_name":"Algebraic structures and combinatorial models","score":0.9922999739646912,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/type","display_name":"Type (biology)","score":0.68243008852005},{"id":"https://openalex.org/keywords/abstract-simplicial-complex","display_name":"Abstract simplicial complex","score":0.5869938731193542},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5421631336212158},{"id":"https://openalex.org/keywords/simplicial-homology","display_name":"Simplicial homology","score":0.5104831457138062},{"id":"https://openalex.org/keywords/simplicial-complex","display_name":"Simplicial complex","score":0.5084565877914429},{"id":"https://openalex.org/keywords/simplicial-set","display_name":"Simplicial set","score":0.4735031723976135},{"id":"https://openalex.org/keywords/simplicial-manifold","display_name":"Simplicial manifold","score":0.42450401186943054},{"id":"https://openalex.org/keywords/type-theory","display_name":"Type theory","score":0.41149765253067017},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3827245831489563},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.2387753129005432},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.23064666986465454}],"concepts":[{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.68243008852005},{"id":"https://openalex.org/C146867743","wikidata":"https://www.wikidata.org/wiki/Q4669959","display_name":"Abstract simplicial complex","level":3,"score":0.5869938731193542},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5421631336212158},{"id":"https://openalex.org/C3469331","wikidata":"https://www.wikidata.org/wiki/Q7520902","display_name":"Simplicial homology","level":3,"score":0.5104831457138062},{"id":"https://openalex.org/C187929450","wikidata":"https://www.wikidata.org/wiki/Q994399","display_name":"Simplicial complex","level":2,"score":0.5084565877914429},{"id":"https://openalex.org/C155366967","wikidata":"https://www.wikidata.org/wiki/Q1467124","display_name":"Simplicial set","level":4,"score":0.4735031723976135},{"id":"https://openalex.org/C97172818","wikidata":"https://www.wikidata.org/wiki/Q7520904","display_name":"Simplicial manifold","level":5,"score":0.42450401186943054},{"id":"https://openalex.org/C93682546","wikidata":"https://www.wikidata.org/wiki/Q1056428","display_name":"Type theory","level":3,"score":0.41149765253067017},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3827245831489563},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.2387753129005432},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.23064666986465454},{"id":"https://openalex.org/C5961521","wikidata":"https://www.wikidata.org/wiki/Q746083","display_name":"Homotopy","level":2,"score":0.0},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0},{"id":"https://openalex.org/C79236096","wikidata":"https://www.wikidata.org/wiki/Q14775269","display_name":"Homotopy category","level":3,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1017/s0960129514000528","is_oa":true,"landing_page_url":"https://doi.org/10.1017/s0960129514000528","pdf_url":"https://www.cambridge.org/core/services/aop-cambridge-core/content/view/B11CBF001D1BAB17A3F28FDF9A055D32/S0960129514000528a.pdf/div-class-title-a-dependently-typed-construction-of-semi-simplicial-types-div.pdf","source":{"id":"https://openalex.org/S101766102","display_name":"Mathematical Structures in Computer Science","issn_l":"0960-1295","issn":["0960-1295","1469-8072"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311721","host_organization_name":"Cambridge University Press","host_organization_lineage":["https://openalex.org/P4310311721","https://openalex.org/P4310311702"],"host_organization_lineage_names":["Cambridge University Press","University of Cambridge"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematical Structures in Computer Science","raw_type":"journal-article"},{"id":"pmh:oai:HAL:hal-00935446v1","is_oa":true,"landing_page_url":"https://inria.hal.science/hal-00935446","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":"http://journals.cambridge.org/article_S0960129514000528","raw_type":"Journal articles"}],"best_oa_location":{"id":"doi:10.1017/s0960129514000528","is_oa":true,"landing_page_url":"https://doi.org/10.1017/s0960129514000528","pdf_url":"https://www.cambridge.org/core/services/aop-cambridge-core/content/view/B11CBF001D1BAB17A3F28FDF9A055D32/S0960129514000528a.pdf/div-class-title-a-dependently-typed-construction-of-semi-simplicial-types-div.pdf","source":{"id":"https://openalex.org/S101766102","display_name":"Mathematical Structures in Computer Science","issn_l":"0960-1295","issn":["0960-1295","1469-8072"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311721","host_organization_name":"Cambridge University Press","host_organization_lineage":["https://openalex.org/P4310311721","https://openalex.org/P4310311702"],"host_organization_lineage_names":["Cambridge University Press","University of Cambridge"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematical Structures in Computer Science","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2064744640.pdf","grobid_xml":"https://content.openalex.org/works/W2064744640.grobid-xml"},"referenced_works_count":3,"referenced_works":["https://openalex.org/W1569447798","https://openalex.org/W2077353754","https://openalex.org/W2098691999"],"related_works":["https://openalex.org/W2103738419","https://openalex.org/W3033469176","https://openalex.org/W2133717328","https://openalex.org/W4288359443","https://openalex.org/W2969857904","https://openalex.org/W4386942271","https://openalex.org/W2963536907","https://openalex.org/W4299695843","https://openalex.org/W1761516028","https://openalex.org/W2943582562"],"abstract_inverted_index":{"This":[0,20],"paper":[1],"presents":[2],"a":[3,10],"dependently-typed":[4],"construction":[5],"of":[6,29,39],"semi-simplicial":[7],"sets":[8,14],"in":[9],"type":[11],"theory":[12],"where":[13],"are":[15],"taken":[16],"to":[17],"be":[18],"types.":[19],"addresses":[21],"an":[22],"open":[23],"question":[24],"raised":[25],"on":[26,33],"the":[27,30,37],"wiki":[28],"special":[31],"year":[32],"Univalent":[34],"Foundations":[35],"at":[36],"Institute":[38],"Advanced":[40],"Study":[41],"(2012\u20132013).":[42]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":1},{"year":2017,"cited_by_count":2},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}