{"id":"https://openalex.org/W4293812983","doi":"https://doi.org/10.1145/3547627","title":"Propositional equality for gradual dependently typed programming","display_name":"Propositional equality for gradual dependently typed programming","publication_year":2022,"publication_date":"2022-08-29","ids":{"openalex":"https://openalex.org/W4293812983","doi":"https://doi.org/10.1145/3547627"},"language":"en","primary_location":{"id":"doi:10.1145/3547627","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3547627","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/3547627","source":{"id":"https://openalex.org/S4210216081","display_name":"Proceedings of the ACM on Programming Languages","issn_l":"2475-1421","issn":["2475-1421"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the ACM on Programming Languages","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://dl.acm.org/doi/pdf/10.1145/3547627","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5021805478","display_name":"Joseph Eremondi","orcid":"https://orcid.org/0000-0002-9631-4826"},"institutions":[{"id":"https://openalex.org/I141945490","display_name":"University of British Columbia","ror":"https://ror.org/03rmrcq20","country_code":"CA","type":"education","lineage":["https://openalex.org/I141945490"]}],"countries":["CA"],"is_corresponding":true,"raw_author_name":"Joseph Eremondi","raw_affiliation_strings":["University of British Columbia, Canada"],"affiliations":[{"raw_affiliation_string":"University of British Columbia, Canada","institution_ids":["https://openalex.org/I141945490"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5051937731","display_name":"Ronald Garcia","orcid":"https://orcid.org/0000-0002-0982-1118"},"institutions":[{"id":"https://openalex.org/I141945490","display_name":"University of British Columbia","ror":"https://ror.org/03rmrcq20","country_code":"CA","type":"education","lineage":["https://openalex.org/I141945490"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Ronald Garcia","raw_affiliation_strings":["University of British Columbia, Canada"],"affiliations":[{"raw_affiliation_string":"University of British Columbia, Canada","institution_ids":["https://openalex.org/I141945490"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5074606459","display_name":"\u00c9ric Tanter","orcid":"https://orcid.org/0000-0002-7359-890X"},"institutions":[{"id":"https://openalex.org/I69737025","display_name":"University of Chile","ror":"https://ror.org/047gc3g35","country_code":"CL","type":"education","lineage":["https://openalex.org/I69737025"]}],"countries":["CL"],"is_corresponding":false,"raw_author_name":"\u00c9ric Tanter","raw_affiliation_strings":["University of Chile, Chile"],"affiliations":[{"raw_affiliation_string":"University of Chile, Chile","institution_ids":["https://openalex.org/I69737025"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5021805478"],"corresponding_institution_ids":["https://openalex.org/I141945490"],"apc_list":null,"apc_paid":null,"fwci":0.8274,"has_fulltext":true,"cited_by_count":6,"citation_normalized_percentile":{"value":0.77609312,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"6","issue":"ICFP","first_page":"165","last_page":"193"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10126","display_name":"Logic, programming, and type systems","score":0.9998999834060669,"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":0.9998999834060669,"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":0.9930999875068665,"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/T10260","display_name":"Software Engineering Research","score":0.9886999726295471,"subfield":{"id":"https://openalex.org/subfields/1710","display_name":"Information Systems"},"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/metatheory","display_name":"Metatheory","score":0.6725383996963501},{"id":"https://openalex.org/keywords/propositional-variable","display_name":"Propositional variable","score":0.5788371562957764},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5746122598648071},{"id":"https://openalex.org/keywords/dependent-type","display_name":"Dependent type","score":0.572446882724762},{"id":"https://openalex.org/keywords/type","display_name":"Type (biology)","score":0.5030016303062439},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.49959897994995117},{"id":"https://openalex.org/keywords/mathematical-proof","display_name":"Mathematical proof","score":0.4472787380218506},{"id":"https://openalex.org/keywords/term","display_name":"Term (time)","score":0.44439712166786194},{"id":"https://openalex.org/keywords/witness","display_name":"Witness","score":0.4163365662097931},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3675154447555542},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.3611220717430115},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.3507499098777771},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.32647398114204407},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.32633140683174133},{"id":"https://openalex.org/keywords/lambda-calculus","display_name":"Lambda calculus","score":0.24482926726341248},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.19676345586776733}],"concepts":[{"id":"https://openalex.org/C39387531","wikidata":"https://www.wikidata.org/wiki/Q1096708","display_name":"Metatheory","level":2,"score":0.6725383996963501},{"id":"https://openalex.org/C14523651","wikidata":"https://www.wikidata.org/wiki/Q3492863","display_name":"Propositional variable","level":4,"score":0.5788371562957764},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5746122598648071},{"id":"https://openalex.org/C20528804","wikidata":"https://www.wikidata.org/wiki/Q997433","display_name":"Dependent type","level":3,"score":0.572446882724762},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.5030016303062439},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.49959897994995117},{"id":"https://openalex.org/C108710211","wikidata":"https://www.wikidata.org/wiki/Q11538","display_name":"Mathematical proof","level":2,"score":0.4472787380218506},{"id":"https://openalex.org/C61797465","wikidata":"https://www.wikidata.org/wiki/Q1188986","display_name":"Term (time)","level":2,"score":0.44439712166786194},{"id":"https://openalex.org/C2776900844","wikidata":"https://www.wikidata.org/wiki/Q8028383","display_name":"Witness","level":2,"score":0.4163365662097931},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3675154447555542},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.3611220717430115},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3507499098777771},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.32647398114204407},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.32633140683174133},{"id":"https://openalex.org/C135790938","wikidata":"https://www.wikidata.org/wiki/Q242028","display_name":"Lambda calculus","level":2,"score":0.24482926726341248},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.19676345586776733},{"id":"https://openalex.org/C102993220","wikidata":"https://www.wikidata.org/wiki/Q387196","display_name":"Description logic","level":2,"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/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C33203268","wikidata":"https://www.wikidata.org/wiki/Q5361594","display_name":"Intermediate logic","level":3,"score":0.0},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1145/3547627","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3547627","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/3547627","source":{"id":"https://openalex.org/S4210216081","display_name":"Proceedings of the ACM on Programming Languages","issn_l":"2475-1421","issn":["2475-1421"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the ACM on Programming Languages","raw_type":"journal-article"},{"id":"pmh:oai:repositorio.uchile.cl:2250/189933","is_oa":true,"landing_page_url":"https://repositorio.uchile.cl/handle/2250/189933","pdf_url":null,"source":{"id":"https://openalex.org/S4306481413","display_name":"Universidad de Chile","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Proceedings of the ACM on Programming Languages-PACMPL","raw_type":"Art\u00edculo de revista"}],"best_oa_location":{"id":"doi:10.1145/3547627","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3547627","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/3547627","source":{"id":"https://openalex.org/S4210216081","display_name":"Proceedings of the ACM on Programming Languages","issn_l":"2475-1421","issn":["2475-1421"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the ACM on Programming Languages","raw_type":"journal-article"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/16","display_name":"Peace, Justice and strong institutions","score":0.800000011920929}],"awards":[{"id":"https://openalex.org/G5866962442","display_name":null,"funder_award_id":"1190058","funder_id":"https://openalex.org/F4320334812","funder_display_name":"Comisi\u00f3n Nacional de Investigaci\u00f3n Cient\u00edfica y Tecnol\u00f3gica"},{"id":"https://openalex.org/G6197322370","display_name":null,"funder_award_id":"FONDECYT","funder_id":"https://openalex.org/F4320334812","funder_display_name":"Comisi\u00f3n Nacional de Investigaci\u00f3n Cient\u00edfica y Tecnol\u00f3gica"}],"funders":[{"id":"https://openalex.org/F4320334593","display_name":"Natural Sciences and Engineering Research Council of Canada","ror":"https://ror.org/01h531d29"},{"id":"https://openalex.org/F4320334812","display_name":"Comisi\u00f3n Nacional de Investigaci\u00f3n Cient\u00edfica y Tecnol\u00f3gica","ror":"https://ror.org/02ap3w078"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4293812983.pdf","grobid_xml":"https://content.openalex.org/works/W4293812983.grobid-xml"},"referenced_works_count":30,"referenced_works":["https://openalex.org/W990876026","https://openalex.org/W1502282368","https://openalex.org/W1511916234","https://openalex.org/W1980939032","https://openalex.org/W2018181305","https://openalex.org/W2034355944","https://openalex.org/W2088295995","https://openalex.org/W2113232207","https://openalex.org/W2120029217","https://openalex.org/W2124798629","https://openalex.org/W2128303158","https://openalex.org/W2133629640","https://openalex.org/W2148713425","https://openalex.org/W2150998213","https://openalex.org/W2284690928","https://openalex.org/W2293786458","https://openalex.org/W2295283668","https://openalex.org/W2413556709","https://openalex.org/W2561537655","https://openalex.org/W2767557842","https://openalex.org/W2886134830","https://openalex.org/W2949241294","https://openalex.org/W3084769501","https://openalex.org/W3115334541","https://openalex.org/W3117011873","https://openalex.org/W3123828280","https://openalex.org/W3211946171","https://openalex.org/W4205625158","https://openalex.org/W4205724670","https://openalex.org/W4226281315"],"related_works":["https://openalex.org/W3096986299","https://openalex.org/W4389526947","https://openalex.org/W3123526213","https://openalex.org/W2741867239","https://openalex.org/W86966099","https://openalex.org/W2959155094","https://openalex.org/W1619105309","https://openalex.org/W2173548019","https://openalex.org/W2092181779","https://openalex.org/W2964038398"],"abstract_inverted_index":{"Gradual":[0],"dependent":[1,33],"types":[2,20],"can":[3,91],"help":[4],"with":[5,74,236],"the":[6,51,56,68,116,129,149,193,224,255],"incremental":[7],"adoption":[8],"of":[9,31,40,60,67,70,97,124,156,184,192,226,250,258],"dependently":[10,107],"typed":[11,108],"code":[12],"by":[13,119,139,205],"providing":[14],"a":[15,37,64,95,105,140,154,167,190,266],"principled":[16],"semantics":[17],"for":[18,198,232],"imprecise":[19],"and":[21,99,195,229,254],"proofs,":[22],"where":[23],"some":[24],"parts":[25],"have":[26],"been":[27],"omitted.":[28],"Current":[29],"theories":[30],"gradual":[32,65,106,256],"types,":[34],"though,":[35],"lack":[36],"central":[38],"feature":[39],"type":[41,100,123,164,185,246],"theory:":[42],"propositional":[43,75,112],"equality.":[44,113,159],"Lennon-Bertrand":[45],"et":[46,260],"al.":[47],"show":[48],"that,":[49],"when":[50,172],"reflexive":[52],"proof":[53,136],"refl":[54,126],"is":[55,127,137,143,187,196,203],"only":[57,130],"closed":[58,131],"value":[59],"an":[61,121],"equality":[62,76,98,122,135],"type,":[63],"extension":[66],"Calculus":[69],"Inductive":[71],"Constructions":[72],"(CIC)":[73],"violates":[77],"static":[78,272],"observational":[79],"equivalences.":[80],"Extensionally-equal":[81],"functions":[82,212],"should":[83],"be":[84,92],"indistinguishable":[85],"at":[86,144],"run":[87],"time,":[88],"but":[89],"they":[90],"distinguished":[93],"using":[94],"combination":[96],"imprecision.":[101],"This":[102],"work":[103],"presents":[104],"language":[109],"that":[110,142,173,176,210,264],"supports":[111],"We":[114,207,222],"avoid":[115],"above":[117],"issues":[118],"devising":[120],"which":[125,262],"not":[128],"inhabitant.":[132],"Instead,":[133],"each":[134],"accompanied":[138],"term":[141],"least":[145],"as":[146,148,153,166,189],"precise":[147],"equated":[150,178],"terms,":[151],"acting":[152],"witness":[155],"their":[157],"plausible":[158],"These":[160],"witnesses":[161],"track":[162],"partial":[163],"information":[165,174,186],"program":[168],"runs,":[169],"raising":[170],"errors":[171],"shows":[175],"two":[177],"terms":[179],"are":[180],"undeniably":[181],"inconsistent.":[182],"Composition":[183],"internalized":[188],"construct":[191],"language,":[194],"deferred":[197],"function":[199],"bodies":[200],"whose":[201],"evaluation":[202],"blocked":[204],"variables.":[206],"thus":[208],"ensure":[209,263],"extensionally-equal":[211],"compose":[213],"without":[214],"error,":[215],"thereby":[216],"preventing":[217],"contexts":[218],"from":[219],"distinguishing":[220],"them.":[221],"describe":[223],"challenges":[225],"designing":[227],"consistency":[228],"precision":[230,268],"relations":[231],"this":[233],"system,":[234],"along":[235],"solutions":[237],"to":[238],"these":[239],"challenges.":[240],"Finally,":[241],"we":[242],"prove":[243],"important":[244],"metatheory:":[245],"safety,":[247],"conservative":[248],"embedding":[249],"CIC,":[251],"weak":[252],"canonicity,":[253],"guarantees":[257],"Siek":[259],"al.,":[261],"reducing":[265],"program\u2019s":[267],"introduces":[269],"no":[270],"new":[271],"or":[273],"dynamic":[274],"errors.":[275]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":1}],"updated_date":"2026-03-27T05:58:40.876381","created_date":"2025-10-10T00:00:00"}