{"id":"https://openalex.org/W4226281315","doi":"https://doi.org/10.1145/3547655","title":"A reasonably gradual type theory","display_name":"A reasonably gradual type theory","publication_year":2022,"publication_date":"2022-08-29","ids":{"openalex":"https://openalex.org/W4226281315","doi":"https://doi.org/10.1145/3547655"},"language":"en","primary_location":{"id":"doi:10.1145/3547655","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3547655","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/3547655","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":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://dl.acm.org/doi/pdf/10.1145/3547655","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5083750560","display_name":"Kenji Maillard","orcid":"https://orcid.org/0000-0001-5554-3203"},"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":true,"raw_author_name":"Kenji Maillard","raw_affiliation_strings":["Inria, France"],"raw_orcid":"https://orcid.org/0000-0001-5554-3203","affiliations":[{"raw_affiliation_string":"Inria, France","institution_ids":["https://openalex.org/I1326498283"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5037347110","display_name":"Meven Lennon-Bertrand","orcid":"https://orcid.org/0000-0002-7079-8826"},"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":"Meven Lennon-Bertrand","raw_affiliation_strings":["Inria, France"],"raw_orcid":"https://orcid.org/0000-0002-7079-8826","affiliations":[{"raw_affiliation_string":"Inria, France","institution_ids":["https://openalex.org/I1326498283"]}]},{"author_position":"middle","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, France"],"raw_orcid":"https://orcid.org/0000-0003-3366-2273","affiliations":[{"raw_affiliation_string":"Inria, France","institution_ids":["https://openalex.org/I1326498283"]}]},{"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"],"raw_orcid":"https://orcid.org/0000-0002-7359-890X","affiliations":[{"raw_affiliation_string":"University of Chile, Chile","institution_ids":["https://openalex.org/I69737025"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5083750560"],"corresponding_institution_ids":["https://openalex.org/I1326498283"],"apc_list":null,"apc_paid":null,"fwci":1.1098,"has_fulltext":true,"cited_by_count":9,"citation_normalized_percentile":{"value":0.81069177,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"6","issue":"ICFP","first_page":"931","last_page":"959"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10126","display_name":"Logic, programming, and type systems","score":0.9997000098228455,"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":0.9997000098228455,"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/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.9973000288009644,"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/T11727","display_name":"Advanced Algebra and Logic","score":0.9656999707221985,"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/mathematical-proof","display_name":"Mathematical proof","score":0.7774170637130737},{"id":"https://openalex.org/keywords/normalization","display_name":"Normalization (sociology)","score":0.7000179886817932},{"id":"https://openalex.org/keywords/type-theory","display_name":"Type theory","score":0.6504425406455994},{"id":"https://openalex.org/keywords/type","display_name":"Type (biology)","score":0.640369713306427},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.5937215089797974},{"id":"https://openalex.org/keywords/extension","display_name":"Extension (predicate logic)","score":0.5598362684249878},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5475030541419983},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.466678261756897},{"id":"https://openalex.org/keywords/interpretation","display_name":"Interpretation (philosophy)","score":0.4385477900505066},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.4363923966884613},{"id":"https://openalex.org/keywords/conservative-extension","display_name":"Conservative extension","score":0.4342455267906189},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.414445161819458},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.36478686332702637},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.3414216637611389},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.33365312218666077},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.30157533288002014},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.2062968909740448},{"id":"https://openalex.org/keywords/medicine","display_name":"Medicine","score":0.0775003731250763}],"concepts":[{"id":"https://openalex.org/C108710211","wikidata":"https://www.wikidata.org/wiki/Q11538","display_name":"Mathematical proof","level":2,"score":0.7774170637130737},{"id":"https://openalex.org/C136886441","wikidata":"https://www.wikidata.org/wiki/Q926129","display_name":"Normalization (sociology)","level":2,"score":0.7000179886817932},{"id":"https://openalex.org/C93682546","wikidata":"https://www.wikidata.org/wiki/Q1056428","display_name":"Type theory","level":3,"score":0.6504425406455994},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.640369713306427},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.5937215089797974},{"id":"https://openalex.org/C2778029271","wikidata":"https://www.wikidata.org/wiki/Q5421931","display_name":"Extension (predicate logic)","level":2,"score":0.5598362684249878},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5475030541419983},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.466678261756897},{"id":"https://openalex.org/C527412718","wikidata":"https://www.wikidata.org/wiki/Q855395","display_name":"Interpretation (philosophy)","level":2,"score":0.4385477900505066},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.4363923966884613},{"id":"https://openalex.org/C2780432614","wikidata":"https://www.wikidata.org/wiki/Q864213","display_name":"Conservative extension","level":2,"score":0.4342455267906189},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.414445161819458},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.36478686332702637},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3414216637611389},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.33365312218666077},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.30157533288002014},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.2062968909740448},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0775003731250763},{"id":"https://openalex.org/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","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/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C19165224","wikidata":"https://www.wikidata.org/wiki/Q23404","display_name":"Anthropology","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/C144024400","wikidata":"https://www.wikidata.org/wiki/Q21201","display_name":"Sociology","level":0,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1145/3547655","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3547655","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/3547655","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:arXiv.org:2209.00975","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2209.00975","pdf_url":"https://arxiv.org/pdf/2209.00975","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":null,"raw_type":"text"},{"id":"pmh:oai:HAL:hal-03596652v2","is_oa":true,"landing_page_url":"https://inria.hal.science/hal-03596652","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":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Proceedings of the ACM on Programming Languages, In press, &#x27E8;10.1145/3547655&#x27E9;","raw_type":"Journal articles"},{"id":"pmh:oai:repositorio.uchile.cl:2250/189893","is_oa":true,"landing_page_url":"https://repositorio.uchile.cl/handle/2250/189893","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 Programming Languages-PACMLP","raw_type":"Art\u00edculo de revista"}],"best_oa_location":{"id":"doi:10.1145/3547655","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3547655","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/3547655","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":[{"score":0.5400000214576721,"id":"https://metadata.un.org/sdg/16","display_name":"Peace, Justice and strong institutions"}],"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/G6663016322","display_name":null,"funder_award_id":"ProverFX - ANR-21-ERCC-0004","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"}],"funders":[{"id":"https://openalex.org/F4320320883","display_name":"Agence Nationale de la Recherche","ror":"https://ror.org/00rbzpz17"},{"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":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4226281315.pdf","grobid_xml":"https://content.openalex.org/works/W4226281315.grobid-xml"},"referenced_works_count":44,"referenced_works":["https://openalex.org/W37142284","https://openalex.org/W1502282368","https://openalex.org/W1664326696","https://openalex.org/W2018181305","https://openalex.org/W2024914463","https://openalex.org/W2033146968","https://openalex.org/W2034355944","https://openalex.org/W2048536148","https://openalex.org/W2120029217","https://openalex.org/W2127389065","https://openalex.org/W2133629640","https://openalex.org/W2141210774","https://openalex.org/W2150998213","https://openalex.org/W2284690928","https://openalex.org/W2293786458","https://openalex.org/W2295923951","https://openalex.org/W2539859881","https://openalex.org/W2550513301","https://openalex.org/W2561537655","https://openalex.org/W2565502105","https://openalex.org/W2767557842","https://openalex.org/W2798115558","https://openalex.org/W2883252932","https://openalex.org/W2886134830","https://openalex.org/W2888153140","https://openalex.org/W2912195676","https://openalex.org/W2949241294","https://openalex.org/W2963975932","https://openalex.org/W2964835846","https://openalex.org/W2991260502","https://openalex.org/W3031494424","https://openalex.org/W3031831525","https://openalex.org/W3101776309","https://openalex.org/W3104826616","https://openalex.org/W3123828280","https://openalex.org/W3188022539","https://openalex.org/W4205625158","https://openalex.org/W4205724670","https://openalex.org/W4230636828","https://openalex.org/W4235026653","https://openalex.org/W4240072532","https://openalex.org/W4241458200","https://openalex.org/W4248166369","https://openalex.org/W4293812983"],"related_works":["https://openalex.org/W2898556184","https://openalex.org/W1976278597","https://openalex.org/W1547506255","https://openalex.org/W2351847247","https://openalex.org/W2964338094","https://openalex.org/W2620768781","https://openalex.org/W179416842","https://openalex.org/W1751016442","https://openalex.org/W3003278180","https://openalex.org/W2731470241"],"abstract_inverted_index":{"Gradualizing":[0],"the":[1,61,93,159,186,202,256],"Calculus":[2],"of":[3,39,76,89,95,120,173,201,220,231,258,271],"Inductive":[4],"Constructions":[5],"(CIC)":[6],"involves":[7],"dealing":[8],"with":[9,17,54,63],"subtle":[10],"tensions":[11],"between":[12],"normalization,":[13],"graduality,":[14],"and":[15,52,84,123,138,192,217,227,249,266],"conservativity":[16,53],"respect":[18,55],"to":[19,56,66,145,163,224,244],"CIC.":[20,232],"Recently,":[21],"GCIC":[22],"has":[23],"been":[24],"proposed":[25],"as":[26],"a":[27,44,96,101,148,179,198,215,228,261,268],"parametrized":[28],"gradual":[29,45,97,121,149,181,246,251],"type":[30,98,131,150,182],"theory":[31,99,183],"that":[32,184,205],"admits":[33],"three":[34],"variants,":[35],"each":[36],"sacrificing":[37],"one":[38],"these":[40,153],"properties.":[41],"For":[42],"devising":[43],"proof":[46,102],"assistant":[47],"based":[48],"on":[49],"CIC,":[50],"normalization":[51],"CIC":[57],"are":[58,140],"key,":[59],"but":[60],"tension":[62],"graduality":[64,124,139,213,238],"needs":[65],"be":[67],"addressed.":[68],"Additionally,":[69],"several":[70],"challenges":[71],"remain:":[72],"(1)":[73],"The":[74],"presence":[75],"two":[77],"wildcard":[78],"terms":[79],"at":[80],"any":[81,90],"type---the":[82],"error":[83],"unknown":[85,203],"terms---enables":[86],"trivial":[87],"proofs":[88],"theorem,":[91],"jeopardizing":[92],"use":[94],"in":[100,157,222,264,273],"assistant;":[103],"(2)":[104],"Supporting":[105],"general":[106,193],"indexed":[107],"inductive":[108],"families,":[109],"most":[110],"prominently":[111],"equality,":[112],"is":[113,178],"an":[114,171],"open":[115],"problem;":[116],"(3)":[117],"Theoretical":[118],"accounts":[119,207],"typing":[122],"so":[125],"far":[126],"do":[127],"not":[128,143],"support":[129],"handling":[130],"mismatches":[132],"detected":[133],"during":[134],"reduction;":[135],"(4)":[136],"Precision":[137],"external":[141],"notions":[142],"amenable":[144],"reasoning":[146,236],"within":[147,239],"theory.":[151],"All":[152],"issues":[154,187],"manifest":[155],"primally":[156],"CastCIC,":[158],"cast":[160],"calculus":[161],"used":[162],"define":[164],"GCIC.":[165],"In":[166],"this":[167],"work,":[168],"we":[169],"present":[170],"extension":[172,230],"CastCIC":[174],"called":[175],"GRIP.":[176],"GRIP":[177,211,240,259,272],"reasonably":[180],"addresses":[185],"above,":[188],"featuring":[189],"internal":[190],"precision":[191,234],"exception":[194],"handling.":[195],"By":[196],"adopting":[197],"novel":[199],"interpretation":[200],"term":[204],"carefully":[206],"for":[208,214,242],"universe":[209],"levels,":[210],"satisfies":[212],"large":[216],"well-defined":[218],"class":[219],"terms,":[221,248],"addition":[223],"being":[225],"normalizing":[226],"conservative":[229],"Internal":[233],"supports":[235,250],"about":[237],"itself,":[241],"instance":[243],"characterize":[245],"exception-handling":[247],"subset":[252],"types.":[253],"We":[254],"develop":[255],"metatheory":[257],"using":[260],"model":[262],"formalized":[263],"Coq,":[265],"provide":[267],"prototype":[269],"implementation":[270],"Agda.":[274]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":4},{"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"}
