{"id":"https://openalex.org/W3022319210","doi":"https://doi.org/10.1145/3373718.3394759","title":"Partial Univalence in n-truncated Type Theory","display_name":"Partial Univalence in n-truncated Type Theory","publication_year":2020,"publication_date":"2020-05-26","ids":{"openalex":"https://openalex.org/W3022319210","doi":"https://doi.org/10.1145/3373718.3394759","mag":"3022319210"},"language":"en","primary_location":{"id":"doi:10.1145/3373718.3394759","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3373718.3394759","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/3373718.3394759","source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 35th Annual ACM/IEEE Symposium on Logic in Computer Science","raw_type":"proceedings-article"},"type":"preprint","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://dl.acm.org/doi/pdf/10.1145/3373718.3394759","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5103055014","display_name":"Christian Sattler","orcid":"https://orcid.org/0000-0001-6374-4427"},"institutions":[{"id":"https://openalex.org/I66862912","display_name":"Chalmers University of Technology","ror":"https://ror.org/040wg7k59","country_code":"SE","type":"education","lineage":["https://openalex.org/I66862912"]}],"countries":["SE"],"is_corresponding":false,"raw_author_name":"Christian Sattler","raw_affiliation_strings":["Department of Computer Science and Engineering, Chalmers University of Technology, Sweden","Chalmers University of Technology"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science and Engineering, Chalmers University of Technology, Sweden","institution_ids":["https://openalex.org/I66862912"]},{"raw_affiliation_string":"Chalmers University of Technology","institution_ids":["https://openalex.org/I66862912"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5066208562","display_name":"Andrea Vezzosi","orcid":"https://orcid.org/0000-0001-9570-9407"},"institutions":[{"id":"https://openalex.org/I83467386","display_name":"IT University of Copenhagen","ror":"https://ror.org/02309jg23","country_code":"DK","type":"education","lineage":["https://openalex.org/I83467386"]}],"countries":["DK"],"is_corresponding":false,"raw_author_name":"Andrea Vezzosi","raw_affiliation_strings":["Department of Computer Science, IT University of Copenhagen, Denmark","IT-UNIVERSITY OF COPENHAGEN"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science, IT University of Copenhagen, Denmark","institution_ids":["https://openalex.org/I83467386"]},{"raw_affiliation_string":"IT-UNIVERSITY OF COPENHAGEN","institution_ids":["https://openalex.org/I83467386"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.14487309,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"807","last_page":"819"},"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":0.9950000047683716,"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":0.9950000047683716,"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/T10126","display_name":"Logic, programming, and type systems","score":0.9708999991416931,"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/T11151","display_name":"Advanced Topology and Set Theory","score":0.940500020980835,"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":0.7372217178344727},{"id":"https://openalex.org/keywords/uniqueness","display_name":"Uniqueness","score":0.6604189872741699},{"id":"https://openalex.org/keywords/universe","display_name":"Universe","score":0.6398729681968689},{"id":"https://openalex.org/keywords/axiom","display_name":"Axiom","score":0.6330113410949707},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.6223050951957703},{"id":"https://openalex.org/keywords/type-theory","display_name":"Type theory","score":0.5982257723808289},{"id":"https://openalex.org/keywords/mathematical-proof","display_name":"Mathematical proof","score":0.5917662978172302},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5913829207420349},{"id":"https://openalex.org/keywords/automorphism","display_name":"Automorphism","score":0.5420284271240234},{"id":"https://openalex.org/keywords/homotopy","display_name":"Homotopy","score":0.5393938422203064},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.34169620275497437},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.32825368642807007},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.21129503846168518},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.1071125864982605},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.07751539349555969}],"concepts":[{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.7372217178344727},{"id":"https://openalex.org/C2777021972","wikidata":"https://www.wikidata.org/wiki/Q22976830","display_name":"Uniqueness","level":2,"score":0.6604189872741699},{"id":"https://openalex.org/C84999194","wikidata":"https://www.wikidata.org/wiki/Q1","display_name":"Universe","level":2,"score":0.6398729681968689},{"id":"https://openalex.org/C167729594","wikidata":"https://www.wikidata.org/wiki/Q17736","display_name":"Axiom","level":2,"score":0.6330113410949707},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.6223050951957703},{"id":"https://openalex.org/C93682546","wikidata":"https://www.wikidata.org/wiki/Q1056428","display_name":"Type theory","level":3,"score":0.5982257723808289},{"id":"https://openalex.org/C108710211","wikidata":"https://www.wikidata.org/wiki/Q11538","display_name":"Mathematical proof","level":2,"score":0.5917662978172302},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5913829207420349},{"id":"https://openalex.org/C118712358","wikidata":"https://www.wikidata.org/wiki/Q782566","display_name":"Automorphism","level":2,"score":0.5420284271240234},{"id":"https://openalex.org/C5961521","wikidata":"https://www.wikidata.org/wiki/Q746083","display_name":"Homotopy","level":2,"score":0.5393938422203064},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.34169620275497437},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.32825368642807007},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.21129503846168518},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.1071125864982605},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.07751539349555969},{"id":"https://openalex.org/C44870925","wikidata":"https://www.wikidata.org/wiki/Q37547","display_name":"Astrophysics","level":1,"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/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1145/3373718.3394759","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3373718.3394759","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/3373718.3394759","source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 35th Annual ACM/IEEE Symposium on Logic in Computer Science","raw_type":"proceedings-article"},{"id":"pmh:oai:arXiv.org:2005.00260","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2005.00260","pdf_url":"https://arxiv.org/pdf/2005.00260","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":null},{"id":"mag:3022319210","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/2005.00260.pdf","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},{"id":"pmh:oai:research.chalmers.se:517414","is_oa":false,"landing_page_url":"https://research.chalmers.se/en/publication/517414","pdf_url":null,"source":{"id":"https://openalex.org/S4306402469","display_name":"Chalmers Research (Chalmers University of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I66862912","host_organization_name":"Chalmers University of Technology","host_organization_lineage":["https://openalex.org/I66862912"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":""},{"id":"doi:10.48550/arxiv.2005.00260","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2005.00260","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"doi:10.1145/3373718.3394759","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3373718.3394759","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/3373718.3394759","source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 35th Annual ACM/IEEE Symposium on Logic in Computer Science","raw_type":"proceedings-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2501057817","display_name":null,"funder_award_id":"FA9550-16-1-0029","funder_id":"https://openalex.org/F4320338267","funder_display_name":"Air War College"},{"id":"https://openalex.org/G4379510220","display_name":null,"funder_award_id":"13156","funder_id":"https://openalex.org/F4320310490","funder_display_name":"Villum Fonden"},{"id":"https://openalex.org/G6752174271","display_name":null,"funder_award_id":"FA9550-16-1-0029","funder_id":"https://openalex.org/F4320332467","funder_display_name":"U.S. Air Force"},{"id":"https://openalex.org/G7090116110","display_name":null,"funder_award_id":"FA9550","funder_id":"https://openalex.org/F4320332467","funder_display_name":"U.S. Air Force"}],"funders":[{"id":"https://openalex.org/F4320310490","display_name":"Villum Fonden","ror":"https://ror.org/007ww2d15"},{"id":"https://openalex.org/F4320332467","display_name":"U.S. Air Force","ror":"https://ror.org/006gmme17"},{"id":"https://openalex.org/F4320338267","display_name":"Air War College","ror":"https://ror.org/05jwcsm16"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3022319210.pdf","grobid_xml":"https://content.openalex.org/works/W3022319210.grobid-xml"},"referenced_works_count":25,"referenced_works":["https://openalex.org/W1936971149","https://openalex.org/W2006941708","https://openalex.org/W2062764235","https://openalex.org/W2104240658","https://openalex.org/W2133629640","https://openalex.org/W2150941507","https://openalex.org/W2274485505","https://openalex.org/W2550513301","https://openalex.org/W2556331506","https://openalex.org/W2590229416","https://openalex.org/W2612506836","https://openalex.org/W2679256729","https://openalex.org/W2781656595","https://openalex.org/W2888153140","https://openalex.org/W2962920088","https://openalex.org/W2963024429","https://openalex.org/W2963261352","https://openalex.org/W2963795353","https://openalex.org/W2964029175","https://openalex.org/W2966236458","https://openalex.org/W3001503088","https://openalex.org/W3002997625","https://openalex.org/W3100260380","https://openalex.org/W3102482356","https://openalex.org/W4240072532"],"related_works":["https://openalex.org/W2529211960","https://openalex.org/W2964275160","https://openalex.org/W2186289717","https://openalex.org/W624501779","https://openalex.org/W2547685566","https://openalex.org/W1974294638","https://openalex.org/W149671515","https://openalex.org/W2808553041","https://openalex.org/W2100414237","https://openalex.org/W2045362720","https://openalex.org/W2034747415","https://openalex.org/W3106086156","https://openalex.org/W2150923863","https://openalex.org/W3151472334","https://openalex.org/W2981836109","https://openalex.org/W2029181882","https://openalex.org/W2964222779","https://openalex.org/W2109417180","https://openalex.org/W2736073068","https://openalex.org/W2058220498"],"abstract_inverted_index":{"It":[0],"is":[1,6,22],"well":[2],"known":[3],"that":[4,16],"univalence":[5],"incompatible":[7],"with":[8],"uniqueness":[9],"of":[10],"identity":[11],"proofs":[12],"(UIP),":[13],"the":[14],"axiom":[15],"all":[17],"types":[18],"are":[19,34],"h-sets.":[20],"This":[21],"due":[23],"to":[24],"finite":[25],"h-sets":[26],"having":[27],"non-trivial":[28],"automorphisms":[29],"as":[30,32],"soon":[31],"they":[33],"not":[35],"h-propositions.":[36]},"counts_by_year":[],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}