{"id":"https://openalex.org/W3217631441","doi":"https://doi.org/10.1017/s0960129521000335","title":"Formalization of metatheory of the Lambda Calculus in constructive type theory using the Barendregt variable convention","display_name":"Formalization of metatheory of the Lambda Calculus in constructive type theory using the Barendregt variable convention","publication_year":2021,"publication_date":"2021-03-01","ids":{"openalex":"https://openalex.org/W3217631441","doi":"https://doi.org/10.1017/s0960129521000335","mag":"3217631441"},"language":"en","primary_location":{"id":"doi:10.1017/s0960129521000335","is_oa":false,"landing_page_url":"https://doi.org/10.1017/s0960129521000335","pdf_url":null,"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":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5071200889","display_name":"Ernesto Copello","orcid":null},"institutions":[{"id":"https://openalex.org/I4210147939","display_name":"Universidad ORT Uruguay","ror":"https://ror.org/03ypykr22","country_code":"UY","type":"education","lineage":["https://openalex.org/I4210147939"]}],"countries":["UY"],"is_corresponding":false,"raw_author_name":"Ernesto Copello","raw_affiliation_strings":["Universidad ORT Uruguay, MontevideoUruguay"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Universidad ORT Uruguay, MontevideoUruguay","institution_ids":["https://openalex.org/I4210147939"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5006713267","display_name":"N\u00f3ra Sz\u00e1sz","orcid":"https://orcid.org/0000-0002-8177-8695"},"institutions":[{"id":"https://openalex.org/I4210147939","display_name":"Universidad ORT Uruguay","ror":"https://ror.org/03ypykr22","country_code":"UY","type":"education","lineage":["https://openalex.org/I4210147939"]}],"countries":["UY"],"is_corresponding":true,"raw_author_name":"Nora Szasz","raw_affiliation_strings":["Universidad ORT Uruguay, MontevideoUruguay"],"raw_orcid":"https://orcid.org/0000-0002-8177-8695","affiliations":[{"raw_affiliation_string":"Universidad ORT Uruguay, MontevideoUruguay","institution_ids":["https://openalex.org/I4210147939"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5083210473","display_name":"\u00c1lvaro Tasistro","orcid":"https://orcid.org/0009-0003-2187-3177"},"institutions":[{"id":"https://openalex.org/I4210147939","display_name":"Universidad ORT Uruguay","ror":"https://ror.org/03ypykr22","country_code":"UY","type":"education","lineage":["https://openalex.org/I4210147939"]}],"countries":["UY"],"is_corresponding":false,"raw_author_name":"\u00c1lvaro Tasistro","raw_affiliation_strings":["Universidad ORT Uruguay, MontevideoUruguay"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Universidad ORT Uruguay, MontevideoUruguay","institution_ids":["https://openalex.org/I4210147939"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5006713267"],"corresponding_institution_ids":["https://openalex.org/I4210147939"],"apc_list":null,"apc_paid":null,"fwci":0.28,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.65798287,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":95},"biblio":{"volume":"31","issue":"3","first_page":"341","last_page":"360"},"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":0.9908999800682068,"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/T10215","display_name":"Semantic Web and Ontologies","score":0.9440000057220459,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/typed-lambda-calculus","display_name":"Typed lambda calculus","score":0.6962645649909973},{"id":"https://openalex.org/keywords/simply-typed-lambda-calculus","display_name":"Simply typed lambda calculus","score":0.65751051902771},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.6230051517486572},{"id":"https://openalex.org/keywords/natural-deduction","display_name":"Natural deduction","score":0.6053776144981384},{"id":"https://openalex.org/keywords/constructive","display_name":"Constructive","score":0.5876172780990601},{"id":"https://openalex.org/keywords/mathematical-proof","display_name":"Mathematical proof","score":0.5873050689697266},{"id":"https://openalex.org/keywords/type-theory","display_name":"Type theory","score":0.5520968437194824},{"id":"https://openalex.org/keywords/dependent-type","display_name":"Dependent type","score":0.5461798906326294},{"id":"https://openalex.org/keywords/metatheory","display_name":"Metatheory","score":0.5253781080245972},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.48253530263900757},{"id":"https://openalex.org/keywords/curry\u2013howard-correspondence","display_name":"Curry\u2013Howard correspondence","score":0.4804494082927704},{"id":"https://openalex.org/keywords/variable","display_name":"Variable (mathematics)","score":0.44407784938812256},{"id":"https://openalex.org/keywords/recursion","display_name":"Recursion (computer science)","score":0.42378145456314087},{"id":"https://openalex.org/keywords/proof-calculus","display_name":"Proof calculus","score":0.4199933707714081},{"id":"https://openalex.org/keywords/church-encoding","display_name":"Church encoding","score":0.41946402192115784},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.4186702370643616},{"id":"https://openalex.org/keywords/type","display_name":"Type (biology)","score":0.40415051579475403},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.39808031916618347},{"id":"https://openalex.org/keywords/lambda-calculus","display_name":"Lambda calculus","score":0.33846864104270935},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.31264275312423706},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.257615327835083},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.20414486527442932},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.19756552577018738}],"concepts":[{"id":"https://openalex.org/C142156749","wikidata":"https://www.wikidata.org/wiki/Q2607208","display_name":"Typed lambda calculus","level":3,"score":0.6962645649909973},{"id":"https://openalex.org/C61237538","wikidata":"https://www.wikidata.org/wiki/Q855192","display_name":"Simply typed lambda calculus","level":4,"score":0.65751051902771},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.6230051517486572},{"id":"https://openalex.org/C62073222","wikidata":"https://www.wikidata.org/wiki/Q1572108","display_name":"Natural deduction","level":2,"score":0.6053776144981384},{"id":"https://openalex.org/C2778701210","wikidata":"https://www.wikidata.org/wiki/Q28130034","display_name":"Constructive","level":3,"score":0.5876172780990601},{"id":"https://openalex.org/C108710211","wikidata":"https://www.wikidata.org/wiki/Q11538","display_name":"Mathematical proof","level":2,"score":0.5873050689697266},{"id":"https://openalex.org/C93682546","wikidata":"https://www.wikidata.org/wiki/Q1056428","display_name":"Type theory","level":3,"score":0.5520968437194824},{"id":"https://openalex.org/C20528804","wikidata":"https://www.wikidata.org/wiki/Q997433","display_name":"Dependent type","level":3,"score":0.5461798906326294},{"id":"https://openalex.org/C39387531","wikidata":"https://www.wikidata.org/wiki/Q1096708","display_name":"Metatheory","level":2,"score":0.5253781080245972},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.48253530263900757},{"id":"https://openalex.org/C85343465","wikidata":"https://www.wikidata.org/wiki/Q975734","display_name":"Curry\u2013Howard correspondence","level":3,"score":0.4804494082927704},{"id":"https://openalex.org/C182365436","wikidata":"https://www.wikidata.org/wiki/Q50701","display_name":"Variable (mathematics)","level":2,"score":0.44407784938812256},{"id":"https://openalex.org/C168773036","wikidata":"https://www.wikidata.org/wiki/Q264164","display_name":"Recursion (computer science)","level":2,"score":0.42378145456314087},{"id":"https://openalex.org/C6489637","wikidata":"https://www.wikidata.org/wiki/Q7250002","display_name":"Proof calculus","level":3,"score":0.4199933707714081},{"id":"https://openalex.org/C77736955","wikidata":"https://www.wikidata.org/wiki/Q1089708","display_name":"Church encoding","level":5,"score":0.41946402192115784},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.4186702370643616},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.40415051579475403},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.39808031916618347},{"id":"https://openalex.org/C135790938","wikidata":"https://www.wikidata.org/wiki/Q242028","display_name":"Lambda calculus","level":2,"score":0.33846864104270935},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.31264275312423706},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.257615327835083},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.20414486527442932},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.19756552577018738},{"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/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"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/C98045186","wikidata":"https://www.wikidata.org/wiki/Q205663","display_name":"Process (computing)","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/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1017/s0960129521000335","is_oa":false,"landing_page_url":"https://doi.org/10.1017/s0960129521000335","pdf_url":null,"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"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Peace, Justice and strong institutions","score":0.4300000071525574,"id":"https://metadata.un.org/sdg/16"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":19,"referenced_works":["https://openalex.org/W1991947308","https://openalex.org/W1993375565","https://openalex.org/W2018181305","https://openalex.org/W2020747436","https://openalex.org/W2035625755","https://openalex.org/W2057294029","https://openalex.org/W2074930828","https://openalex.org/W2091657052","https://openalex.org/W2113705064","https://openalex.org/W2152365225","https://openalex.org/W2162208777","https://openalex.org/W2180471721","https://openalex.org/W2461095491","https://openalex.org/W2521607330","https://openalex.org/W2810663718","https://openalex.org/W2899390563","https://openalex.org/W2995917016","https://openalex.org/W4285719527","https://openalex.org/W7000555274"],"related_works":["https://openalex.org/W3123171335","https://openalex.org/W32986836","https://openalex.org/W114844303","https://openalex.org/W2153353244","https://openalex.org/W2146437601","https://openalex.org/W2042469880","https://openalex.org/W2189323991","https://openalex.org/W1458664253","https://openalex.org/W4205386752","https://openalex.org/W3217631441"],"abstract_inverted_index":{"Abstarct":[0],"We":[1,95],"formalize":[2],"in":[3,10,65,79],"Constructive":[4],"Type":[5],"Theory":[6],"the":[7,40,57,60,69,86,106,113,126],"Lambda":[8,116],"Calculus":[9],"its":[11],"classical":[12],"first-order":[13],"syntax,":[14],"employing":[15],"only":[16],"one":[17],"sort":[18],"of":[19,39,45,59,73,89],"names":[20],"for":[21,55,112],"both":[22],"bound":[23],"and":[24,27,47,109],"free":[25],"variables,":[26],"with":[28],"\u03b1":[29],"-conversion":[30],"based":[31],"upon":[32],"name":[33],"swapping.":[34],"As":[35],"a":[36,53,74],"fundamental":[37,101],"part":[38],"formalization,":[41],"we":[42],"introduce":[43],"principles":[44,78],"induction":[46],"recursion":[48],"on":[49,92],"terms":[50],"which":[51],"provide":[52],"framework":[54],"reproducing":[56],"use":[58],"Barendregt":[61],"Variable":[62],"Convention":[63],"as":[64,105],"pen-and-paper":[66],"proofs":[67],"within":[68],"rigorous":[70],"formal":[71],"setting":[72],"proof":[75],"assistant.":[76],"The":[77,118],"question":[80],"are":[81],"all":[82],"formally":[83],"derivable":[84],"from":[85],"simple":[87],"principle":[88],"structural":[90],"induction/recursion":[91],"concrete":[93],"terms.":[94],"work":[96],"out":[97],"applications":[98],"to":[99],"some":[100],"meta-theoretical":[102],"results,":[103],"such":[104],"Church\u2013Rosser":[107],"Theorem":[108],"Weak":[110],"Normalization":[111],"Simply":[114],"Typed":[115],"Calculus.":[117],"whole":[119],"development":[120],"has":[121],"been":[122],"machine":[123],"checked":[124],"using":[125],"system":[127],"Agda.":[128]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}