{"id":"https://openalex.org/W3118426202","doi":"https://doi.org/10.1145/3462172.3462198","title":"Polymorphic System I","display_name":"Polymorphic System I","publication_year":2020,"publication_date":"2020-09-02","ids":{"openalex":"https://openalex.org/W3118426202","doi":"https://doi.org/10.1145/3462172.3462198","mag":"3118426202"},"language":"en","primary_location":{"id":"doi:10.1145/3462172.3462198","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3462172.3462198","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 32nd Symposium on Implementation and Application of Functional Languages","raw_type":"proceedings-article"},"type":"preprint","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2101.03215","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5063619900","display_name":"Cristian F. Sottile","orcid":null},"institutions":[{"id":"https://openalex.org/I24354313","display_name":"University of Buenos Aires","ror":"https://ror.org/0081fs513","country_code":"AR","type":"education","lineage":["https://openalex.org/I24354313"]},{"id":"https://openalex.org/I151201029","display_name":"Consejo Nacional de Investigaciones Cient\u00edficas y T\u00e9cnicas","ror":"https://ror.org/03cqe8w59","country_code":"AR","type":"funder","lineage":["https://openalex.org/I151201029","https://openalex.org/I4210123736","https://openalex.org/I4387155568"]}],"countries":["AR"],"is_corresponding":true,"raw_author_name":"Cristian F. Sottile","raw_affiliation_strings":["Instituto de Investigaci\u00f3n en Ciencias de la Computaci\u00f3n (ICC). CONICET / Universidad de Buenos Aires., Buenos Aires, Argentina, Argentina"],"affiliations":[{"raw_affiliation_string":"Instituto de Investigaci\u00f3n en Ciencias de la Computaci\u00f3n (ICC). CONICET / Universidad de Buenos Aires., Buenos Aires, Argentina, Argentina","institution_ids":["https://openalex.org/I151201029","https://openalex.org/I24354313"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5063731082","display_name":"Alejandro D\u00edaz-Caro","orcid":"https://orcid.org/0000-0002-5175-6882"},"institutions":[{"id":"https://openalex.org/I24354313","display_name":"University of Buenos Aires","ror":"https://ror.org/0081fs513","country_code":"AR","type":"education","lineage":["https://openalex.org/I24354313"]},{"id":"https://openalex.org/I151201029","display_name":"Consejo Nacional de Investigaciones Cient\u00edficas y T\u00e9cnicas","ror":"https://ror.org/03cqe8w59","country_code":"AR","type":"funder","lineage":["https://openalex.org/I151201029","https://openalex.org/I4210123736","https://openalex.org/I4387155568"]},{"id":"https://openalex.org/I138504249","display_name":"National University of Quilmes","ror":"https://ror.org/01r53hz59","country_code":"AR","type":"education","lineage":["https://openalex.org/I138504249"]}],"countries":["AR"],"is_corresponding":false,"raw_author_name":"Alejandro D\u00edaz-Caro","raw_affiliation_strings":["Dpto. de Ciencia y Tecnolog\u00eda., Universidad Nacional de Quilmes., Bernal, Buenos Aires, Argentina and Instituto de Investigaci\u00f3n en Ciencias, de la Computaci\u00f3n (ICC). CONICET / Universidad de Buenos Aires., Buenos Aires, Argentina"],"affiliations":[{"raw_affiliation_string":"Dpto. de Ciencia y Tecnolog\u00eda., Universidad Nacional de Quilmes., Bernal, Buenos Aires, Argentina and Instituto de Investigaci\u00f3n en Ciencias, de la Computaci\u00f3n (ICC). CONICET / Universidad de Buenos Aires., Buenos Aires, Argentina","institution_ids":["https://openalex.org/I138504249","https://openalex.org/I151201029","https://openalex.org/I24354313"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5102945808","display_name":"Pablo E. Mart\u00ednez L\u00f3pez","orcid":"https://orcid.org/0000-0003-4824-9967"},"institutions":[{"id":"https://openalex.org/I138504249","display_name":"National University of Quilmes","ror":"https://ror.org/01r53hz59","country_code":"AR","type":"education","lineage":["https://openalex.org/I138504249"]}],"countries":["AR"],"is_corresponding":false,"raw_author_name":"Pablo E. Mart\u00ednez L\u00f3pez","raw_affiliation_strings":["Dpto. de Ciencia y Tecnolog\u00eda., Universidad Nacional de Quilmes., Bernal, Buenos Aires, Argentina"],"affiliations":[{"raw_affiliation_string":"Dpto. de Ciencia y Tecnolog\u00eda., Universidad Nacional de Quilmes., Bernal, Buenos Aires, Argentina","institution_ids":["https://openalex.org/I138504249"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5063619900"],"corresponding_institution_ids":["https://openalex.org/I151201029","https://openalex.org/I24354313"],"apc_list":null,"apc_paid":null,"fwci":0.2743,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.66341581,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"127","last_page":"137"},"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/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.9968000054359436,"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":0.9865999817848206,"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":0.7242764234542847},{"id":"https://openalex.org/keywords/extension","display_name":"Extension (predicate logic)","score":0.6682101488113403},{"id":"https://openalex.org/keywords/lambda","display_name":"Lambda","score":0.5661250948905945},{"id":"https://openalex.org/keywords/type","display_name":"Type (biology)","score":0.5439590811729431},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5408616065979004},{"id":"https://openalex.org/keywords/lambda-calculus","display_name":"Lambda calculus","score":0.5206491351127625},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.4863875210285187},{"id":"https://openalex.org/keywords/typed-lambda-calculus","display_name":"Typed lambda calculus","score":0.4696813225746155},{"id":"https://openalex.org/keywords/dependent-type","display_name":"Dependent type","score":0.4564078748226166},{"id":"https://openalex.org/keywords/simply-typed-lambda-calculus","display_name":"Simply typed lambda calculus","score":0.41836294531822205},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.41432157158851624},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.3772431015968323},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3621629476547241},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.33311817049980164},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.27119553089141846},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.06992277503013611},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.06531539559364319}],"concepts":[{"id":"https://openalex.org/C108710211","wikidata":"https://www.wikidata.org/wiki/Q11538","display_name":"Mathematical proof","level":2,"score":0.7242764234542847},{"id":"https://openalex.org/C2778029271","wikidata":"https://www.wikidata.org/wiki/Q5421931","display_name":"Extension (predicate logic)","level":2,"score":0.6682101488113403},{"id":"https://openalex.org/C2778113609","wikidata":"https://www.wikidata.org/wiki/Q10897","display_name":"Lambda","level":2,"score":0.5661250948905945},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.5439590811729431},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5408616065979004},{"id":"https://openalex.org/C135790938","wikidata":"https://www.wikidata.org/wiki/Q242028","display_name":"Lambda calculus","level":2,"score":0.5206491351127625},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.4863875210285187},{"id":"https://openalex.org/C142156749","wikidata":"https://www.wikidata.org/wiki/Q2607208","display_name":"Typed lambda calculus","level":3,"score":0.4696813225746155},{"id":"https://openalex.org/C20528804","wikidata":"https://www.wikidata.org/wiki/Q997433","display_name":"Dependent type","level":3,"score":0.4564078748226166},{"id":"https://openalex.org/C61237538","wikidata":"https://www.wikidata.org/wiki/Q855192","display_name":"Simply typed lambda calculus","level":4,"score":0.41836294531822205},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.41432157158851624},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.3772431015968323},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3621629476547241},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.33311817049980164},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.27119553089141846},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.06992277503013611},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.06531539559364319},{"id":"https://openalex.org/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","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/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},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1145/3462172.3462198","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3462172.3462198","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 32nd Symposium on Implementation and Application of Functional Languages","raw_type":"proceedings-article"},{"id":"pmh:oai:arXiv.org:2101.03215","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2101.03215","pdf_url":"https://arxiv.org/pdf/2101.03215","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"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2101.03215","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2101.03215","pdf_url":"https://arxiv.org/pdf/2101.03215","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"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G5509924522","display_name":null,"funder_award_id":"PICT 2019-1272","funder_id":"https://openalex.org/F4320334832","funder_display_name":"Agencia Nacional de Promoci\u00f3n Cient\u00edfica y Tecnol\u00f3gica"}],"funders":[{"id":"https://openalex.org/F4320334832","display_name":"Agencia Nacional de Promoci\u00f3n Cient\u00edfica y Tecnol\u00f3gica","ror":"https://ror.org/03stxzb56"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":35,"referenced_works":["https://openalex.org/W21537352","https://openalex.org/W569543113","https://openalex.org/W1505627668","https://openalex.org/W1554598184","https://openalex.org/W1604010699","https://openalex.org/W1615235828","https://openalex.org/W1977882652","https://openalex.org/W1986402635","https://openalex.org/W2025341469","https://openalex.org/W2052151316","https://openalex.org/W2053507367","https://openalex.org/W2094079428","https://openalex.org/W2102549858","https://openalex.org/W2124764481","https://openalex.org/W2126787737","https://openalex.org/W2151097168","https://openalex.org/W2164139866","https://openalex.org/W2169655078","https://openalex.org/W2557403020","https://openalex.org/W2763701400","https://openalex.org/W2915784405","https://openalex.org/W3005285175","https://openalex.org/W3099155063","https://openalex.org/W3102427046","https://openalex.org/W3105392254","https://openalex.org/W3118426202","https://openalex.org/W3121746165","https://openalex.org/W3148357842","https://openalex.org/W4287869245","https://openalex.org/W4321277331","https://openalex.org/W4366516867","https://openalex.org/W6633126514","https://openalex.org/W6636504588","https://openalex.org/W6638487735","https://openalex.org/W6682747401"],"related_works":["https://openalex.org/W3123171335","https://openalex.org/W21537352","https://openalex.org/W1594451895","https://openalex.org/W2153353244","https://openalex.org/W4297858128","https://openalex.org/W1983748102","https://openalex.org/W4205386752","https://openalex.org/W2146437601","https://openalex.org/W1458664253","https://openalex.org/W1993182924"],"abstract_inverted_index":{"System":[0,30,52],"I":[1,31],"is":[2],"a":[3],"simply-typed":[4],"lambda":[5],"calculus":[6],"with":[7,10],"pairs,":[8],"extended":[9],"an":[11,27],"equational":[12],"theory":[13],"obtained":[14],"from":[15],"considering":[16],"the":[17,36],"type":[18],"isomorphisms":[19],"as":[20],"equalities.":[21],"In":[22],"this":[23],"work":[24],"we":[25],"propose":[26],"extension":[28],"of":[29,43,51],"to":[32],"polymorphic":[33],"types,":[34],"adding":[35],"corresponding":[37],"isomorphisms.":[38],"We":[39],"provide":[40],"non-standard":[41],"proofs":[42],"subject":[44],"reduction":[45],"and":[46],"strong":[47],"normalisation,":[48],"extending":[49],"those":[50],"I.":[53]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2020,"cited_by_count":1}],"updated_date":"2026-03-20T23:20:44.827607","created_date":"2025-10-10T00:00:00"}
