{"id":"https://openalex.org/W2411119043","doi":"https://doi.org/10.1145/2933575.2935320","title":"The Definitional Side of the Forcing","display_name":"The Definitional Side of the Forcing","publication_year":2016,"publication_date":"2016-07-05","ids":{"openalex":"https://openalex.org/W2411119043","doi":"https://doi.org/10.1145/2933575.2935320","mag":"2411119043"},"language":"en","primary_location":{"id":"doi:10.1145/2933575.2935320","is_oa":false,"landing_page_url":"https://doi.org/10.1145/2933575.2935320","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 31st Annual ACM/IEEE Symposium on Logic in Computer Science","raw_type":"proceedings-article"},"type":"conference-paper","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/A5086987751","display_name":"Guilhem Jaber","orcid":null},"institutions":[{"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"]},{"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"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Guilhem Jaber","raw_affiliation_strings":["IRIF - Universit\u00e9 Paris Diderot, \u03c0r2, Inria"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"IRIF - Universit\u00e9 Paris Diderot, \u03c0r2, Inria","institution_ids":["https://openalex.org/I169173203","https://openalex.org/I204730241"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5072029141","display_name":"Gabriel Lewertowski","orcid":null},"institutions":[{"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"]},{"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"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Gabriel Lewertowski","raw_affiliation_strings":["IRIF - Universit\u00e9 Paris Diderot, \u03c0r2, Inria"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"IRIF - Universit\u00e9 Paris Diderot, \u03c0r2, Inria","institution_ids":["https://openalex.org/I169173203","https://openalex.org/I204730241"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5067464824","display_name":"Pierre-Marie P\u00e9drot","orcid":"https://orcid.org/0009-0002-8006-6239"},"institutions":[{"id":"https://openalex.org/I1326498283","display_name":"Institut national de recherche en sciences et technologies du num\u00e9rique","ror":"https://ror.org/02kvxyf05","country_code":"FR","type":"government","lineage":["https://openalex.org/I1326498283"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Pierre-Marie P\u00e9drot","raw_affiliation_strings":["Inria"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Inria","institution_ids":["https://openalex.org/I1326498283"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5065124885","display_name":"Matthieu Sozeau","orcid":"https://orcid.org/0000-0001-6452-8806"},"institutions":[{"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"]},{"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"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Matthieu Sozeau","raw_affiliation_strings":["IRIF - Universit\u00e9 Paris Diderot, \u03c0r2, Inria"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"IRIF - Universit\u00e9 Paris Diderot, \u03c0r2, Inria","institution_ids":["https://openalex.org/I169173203","https://openalex.org/I204730241"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5033499088","display_name":"Nicolas Tabareau","orcid":"https://orcid.org/0000-0003-3366-2273"},"institutions":[{"id":"https://openalex.org/I1326498283","display_name":"Institut national de recherche en sciences et technologies du num\u00e9rique","ror":"https://ror.org/02kvxyf05","country_code":"FR","type":"government","lineage":["https://openalex.org/I1326498283"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Nicolas Tabareau","raw_affiliation_strings":["Inria"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Inria","institution_ids":["https://openalex.org/I1326498283"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":2.1354,"has_fulltext":false,"cited_by_count":19,"citation_normalized_percentile":{"value":0.90220654,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":null,"issue":null,"first_page":"367","last_page":"376"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10126","display_name":"Logic, programming, and type systems","score":0.9993000030517578,"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":0.9993000030517578,"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/T11567","display_name":"semigroups and automata theory","score":0.9876000285148621,"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/T10304","display_name":"Geometric and Algebraic Topology","score":0.9873999953269958,"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/forcing","display_name":"Forcing (mathematics)","score":0.8022077083587646},{"id":"https://openalex.org/keywords/axiom","display_name":"Axiom","score":0.698148787021637},{"id":"https://openalex.org/keywords/negation","display_name":"Negation","score":0.609641969203949},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5936465263366699},{"id":"https://openalex.org/keywords/mathematical-proof","display_name":"Mathematical proof","score":0.5723485946655273},{"id":"https://openalex.org/keywords/type-theory","display_name":"Type theory","score":0.5675291419029236},{"id":"https://openalex.org/keywords/consistency","display_name":"Consistency (knowledge bases)","score":0.47965601086616516},{"id":"https://openalex.org/keywords/constructive","display_name":"Constructive","score":0.41900381445884705},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3797725439071655},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.3792692720890045},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.3628765940666199},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.32909899950027466},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.27240246534347534},{"id":"https://openalex.org/keywords/type","display_name":"Type (biology)","score":0.26797521114349365},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.14144092798233032}],"concepts":[{"id":"https://openalex.org/C197115733","wikidata":"https://www.wikidata.org/wiki/Q1003136","display_name":"Forcing (mathematics)","level":2,"score":0.8022077083587646},{"id":"https://openalex.org/C167729594","wikidata":"https://www.wikidata.org/wiki/Q17736","display_name":"Axiom","level":2,"score":0.698148787021637},{"id":"https://openalex.org/C2185349","wikidata":"https://www.wikidata.org/wiki/Q190558","display_name":"Negation","level":2,"score":0.609641969203949},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5936465263366699},{"id":"https://openalex.org/C108710211","wikidata":"https://www.wikidata.org/wiki/Q11538","display_name":"Mathematical proof","level":2,"score":0.5723485946655273},{"id":"https://openalex.org/C93682546","wikidata":"https://www.wikidata.org/wiki/Q1056428","display_name":"Type theory","level":3,"score":0.5675291419029236},{"id":"https://openalex.org/C2776436953","wikidata":"https://www.wikidata.org/wiki/Q5163215","display_name":"Consistency (knowledge bases)","level":2,"score":0.47965601086616516},{"id":"https://openalex.org/C2778701210","wikidata":"https://www.wikidata.org/wiki/Q28130034","display_name":"Constructive","level":3,"score":0.41900381445884705},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3797725439071655},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3792692720890045},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3628765940666199},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.32909899950027466},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.27240246534347534},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.26797521114349365},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.14144092798233032},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","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},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C98045186","wikidata":"https://www.wikidata.org/wiki/Q205663","display_name":"Process (computing)","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1145/2933575.2935320","is_oa":false,"landing_page_url":"https://doi.org/10.1145/2933575.2935320","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 31st Annual ACM/IEEE Symposium on Logic in Computer Science","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":17,"referenced_works":["https://openalex.org/W49202426","https://openalex.org/W177032397","https://openalex.org/W1552101395","https://openalex.org/W1647170492","https://openalex.org/W2007974484","https://openalex.org/W2068413129","https://openalex.org/W2079103712","https://openalex.org/W2111069606","https://openalex.org/W2124729849","https://openalex.org/W2130779085","https://openalex.org/W2152414370","https://openalex.org/W2274485505","https://openalex.org/W2295967482","https://openalex.org/W2475129850","https://openalex.org/W2550513301","https://openalex.org/W6633088523","https://openalex.org/W6697253116"],"related_works":["https://openalex.org/W2059922809","https://openalex.org/W2387527986","https://openalex.org/W2479250593","https://openalex.org/W2808944898","https://openalex.org/W2019604532","https://openalex.org/W2992829260","https://openalex.org/W4287998863","https://openalex.org/W2927651154","https://openalex.org/W1976278597","https://openalex.org/W2125274893"],"abstract_inverted_index":{"This":[0,84,121],"paper":[1],"studies":[2],"forcing":[3,92],"translations":[4],"of":[5,77,97,109,126,166,169],"proofs":[6],"in":[7,39,50,112,142],"dependent":[8,65,116,128,134],"type":[9],"theory,":[10],"through":[11],"the":[12,30,34,57,64,74,100,107,155,164,167],"Curry-Howard":[13],"correspondence.":[14],"Based":[15],"on":[16,56],"a":[17,40,123,127,143,149],"call-by-push-value":[18],"decomposition,":[19],"we":[20,60],"synthesize":[21],"two":[22],"simply-typed":[23],"translations:":[24],"i)":[25],"one":[26,44],"call-by-value,":[27],"corresponding":[28],"to":[29,63,87,114,157],"translation":[31],"derived":[32],"from":[33],"presheaf":[35],"construction":[36,104],"as":[37,91,148],"studied":[38],"previous":[41],"paper;":[42],"ii)":[43],"call-by-name,":[45],"whose":[46],"intuitions":[47],"already":[48],"appear":[49],"Krivine":[51],"and":[52,67],"Miquel's":[53],"work.":[54],"Focusing":[55],"call-by-name":[58],"translation,":[59],"adapt":[61],"it":[62,70],"case":[66],"prove":[68],"that":[69],"is":[71,95,122],"compatible":[72],"with":[73,99,130],"definitional":[75],"equality":[76],"our":[78],"system,":[79],"thus":[80],"avoiding":[81],"coherence":[82],"problems.":[83],"allows":[85],"us":[86],"use":[88],"any":[89],"category":[90],"conditions,":[93],"which":[94],"out":[96],"reach":[98],"call-by-value":[101],"translation.":[102],"Our":[103],"also":[105],"exploits":[106],"notion":[108],"storage":[110],"operators":[111],"order":[113],"interpret":[115],"elimination":[117,135],"for":[118,136,162],"inductive":[119,137],"types.":[120],"novel":[124],"example":[125],"theory":[129],"side-effects,":[131],"clarifying":[132],"how":[133],"types":[138],"must":[139],"be":[140],"restricted":[141],"non-pure":[144],"setting.":[145],"Being":[146],"implemented":[147],"Coq":[150],"plugin,":[151],"this":[152],"work":[153],"gives":[154],"possibility":[156],"formalize":[158],"easily":[159],"consistency":[160,165],"results,":[161],"instance":[163],"negation":[168],"Voevodsky's":[170],"univalence":[171],"axiom.":[172]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":7},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1}],"updated_date":"2026-07-29T14:22:42.915294","created_date":"2025-10-10T00:00:00"}
