{"id":"https://openalex.org/W2087871591","doi":"https://doi.org/10.1145/2676726.2676991","title":"Polymorphic Functions with Set-Theoretic Types","display_name":"Polymorphic Functions with Set-Theoretic Types","publication_year":2014,"publication_date":"2014-12-19","ids":{"openalex":"https://openalex.org/W2087871591","doi":"https://doi.org/10.1145/2676726.2676991","mag":"2087871591"},"language":"en","primary_location":{"id":"doi:10.1145/2676726.2676991","is_oa":false,"landing_page_url":"https://doi.org/10.1145/2676726.2676991","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 42nd Annual ACM SIGPLAN-SIGACT Symposium on Principles of Programming Languages","raw_type":"proceedings-article"},"type":"preprint","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://hal.science/hal-00880744","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5084702945","display_name":"Giuseppe Castagna","orcid":"https://orcid.org/0000-0003-0951-7535"},"institutions":[{"id":"https://openalex.org/I4210091437","display_name":"Sorbonne Paris Cit\u00e9","ror":"https://ror.org/001z21q04","country_code":"FR","type":"other","lineage":["https://openalex.org/I4210091437"]},{"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":true,"raw_author_name":"Giuseppe Castagna","raw_affiliation_strings":["Univ Paris Diderot, Sorbonne Paris Cit\u00e9, Paris, France"],"affiliations":[{"raw_affiliation_string":"Univ Paris Diderot, Sorbonne Paris Cit\u00e9, Paris, France","institution_ids":["https://openalex.org/I169173203","https://openalex.org/I4210091437","https://openalex.org/I204730241"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5049677372","display_name":"Kim Nguy\u1ec5n","orcid":"https://orcid.org/0000-0002-1729-870X"},"institutions":[{"id":"https://openalex.org/I102197404","display_name":"Universit\u00e9 Paris-Sud","ror":"https://ror.org/028rypz17","country_code":"FR","type":"education","lineage":["https://openalex.org/I102197404"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Kim Nguyen","raw_affiliation_strings":["Universit\u00e9 Paris-Sud, Orsay, France"],"affiliations":[{"raw_affiliation_string":"Universit\u00e9 Paris-Sud, Orsay, France","institution_ids":["https://openalex.org/I102197404"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5089943764","display_name":"Zhiwu Xu","orcid":"https://orcid.org/0000-0001-6727-440X"},"institutions":[{"id":"https://openalex.org/I74872605","display_name":"China Southern Power Grid (China)","ror":"https://ror.org/03hkh9419","country_code":"CN","type":"company","lineage":["https://openalex.org/I74872605"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhiwu Xu","raw_affiliation_strings":["Guangdong Power Grid Company, Guangzhou, China"],"affiliations":[{"raw_affiliation_string":"Guangdong Power Grid Company, Guangzhou, China","institution_ids":["https://openalex.org/I74872605"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5062756065","display_name":"Pietro Abate","orcid":null},"institutions":[{"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"]},{"id":"https://openalex.org/I4210091437","display_name":"Sorbonne Paris Cit\u00e9","ror":"https://ror.org/001z21q04","country_code":"FR","type":"other","lineage":["https://openalex.org/I4210091437"]},{"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"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Pietro Abate","raw_affiliation_strings":["Univ Paris Diderot, Sorbonne Paris Cit\u00e9, Paris, France"],"affiliations":[{"raw_affiliation_string":"Univ Paris Diderot, Sorbonne Paris Cit\u00e9, Paris, France","institution_ids":["https://openalex.org/I169173203","https://openalex.org/I4210091437","https://openalex.org/I204730241"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5084702945"],"corresponding_institution_ids":["https://openalex.org/I169173203","https://openalex.org/I204730241","https://openalex.org/I4210091437"],"apc_list":null,"apc_paid":null,"fwci":3.3908,"has_fulltext":false,"cited_by_count":37,"citation_normalized_percentile":{"value":0.93235185,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":null,"issue":null,"first_page":"289","last_page":"302"},"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/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.9814000129699707,"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/T10304","display_name":"Geometric and Algebraic Topology","score":0.963100016117096,"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/type","display_name":"Type (biology)","score":0.7027462124824524},{"id":"https://openalex.org/keywords/negation","display_name":"Negation","score":0.6997212767601013},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.6386693716049194},{"id":"https://openalex.org/keywords/type-theory","display_name":"Type theory","score":0.53557288646698},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5159107446670532},{"id":"https://openalex.org/keywords/series","display_name":"Series (stratigraphy)","score":0.4837322533130646},{"id":"https://openalex.org/keywords/set-theory","display_name":"Set theory","score":0.4597606360912323},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.4508674740791321},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.4365638792514801},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.4091857671737671},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.40436434745788574},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3312762975692749},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.32658952474594116},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.2129320502281189}],"concepts":[{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.7027462124824524},{"id":"https://openalex.org/C2185349","wikidata":"https://www.wikidata.org/wiki/Q190558","display_name":"Negation","level":2,"score":0.6997212767601013},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.6386693716049194},{"id":"https://openalex.org/C93682546","wikidata":"https://www.wikidata.org/wiki/Q1056428","display_name":"Type theory","level":3,"score":0.53557288646698},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5159107446670532},{"id":"https://openalex.org/C143724316","wikidata":"https://www.wikidata.org/wiki/Q312468","display_name":"Series (stratigraphy)","level":2,"score":0.4837322533130646},{"id":"https://openalex.org/C153046414","wikidata":"https://www.wikidata.org/wiki/Q12482","display_name":"Set theory","level":3,"score":0.4597606360912323},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.4508674740791321},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.4365638792514801},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.4091857671737671},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.40436434745788574},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3312762975692749},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.32658952474594116},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.2129320502281189},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","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/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1145/2676726.2676991","is_oa":false,"landing_page_url":"https://doi.org/10.1145/2676726.2676991","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 42nd Annual ACM SIGPLAN-SIGACT Symposium on Principles of Programming Languages","raw_type":"proceedings-article"},{"id":"pmh:oai:HAL:hal-00880744v4","is_oa":true,"landing_page_url":"https://hal.science/hal-00880744","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":"POPL '15 Proceedings of the 42nd ACM SIGPLAN-SIGACT Symposium on Principles of Programming Languages, Jan 2015, Mumbai, India. &#x27E8;10.1145/2676726.2676991&#x27E9;","raw_type":"Conference papers"}],"best_oa_location":{"id":"pmh:oai:HAL:hal-00880744v4","is_oa":true,"landing_page_url":"https://hal.science/hal-00880744","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":"POPL '15 Proceedings of the 42nd ACM SIGPLAN-SIGACT Symposium on Principles of Programming Languages, Jan 2015, Mumbai, India. &#x27E8;10.1145/2676726.2676991&#x27E9;","raw_type":"Conference papers"},"sustainable_development_goals":[{"display_name":"Reduced inequalities","score":0.5,"id":"https://metadata.un.org/sdg/10"}],"awards":[{"id":"https://openalex.org/G3038523443","display_name":null,"funder_award_id":"61070038","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G4190352062","display_name":null,"funder_award_id":"ANR-11- BS02-007","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/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":27,"referenced_works":["https://openalex.org/W197687268","https://openalex.org/W206062862","https://openalex.org/W785213887","https://openalex.org/W1553136405","https://openalex.org/W1575949168","https://openalex.org/W1973186567","https://openalex.org/W1973576343","https://openalex.org/W1988897846","https://openalex.org/W1994139214","https://openalex.org/W2016076634","https://openalex.org/W2022443117","https://openalex.org/W2036676170","https://openalex.org/W2047304692","https://openalex.org/W2053228623","https://openalex.org/W2056253254","https://openalex.org/W2068457689","https://openalex.org/W2072881702","https://openalex.org/W2075994573","https://openalex.org/W2096368963","https://openalex.org/W2105045857","https://openalex.org/W2113722134","https://openalex.org/W2163976959","https://openalex.org/W2741912530","https://openalex.org/W3006227137","https://openalex.org/W4212983671","https://openalex.org/W4247531708","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W3083301185","https://openalex.org/W4306816010","https://openalex.org/W2170599098","https://openalex.org/W2787703111","https://openalex.org/W2163980057","https://openalex.org/W4225424606","https://openalex.org/W4306353309","https://openalex.org/W4386614239","https://openalex.org/W4283575722","https://openalex.org/W3120415410"],"abstract_inverted_index":{"This":[0],"article":[1],"is":[2],"the":[3,12],"second":[4],"part":[5],"of":[6,14],"a":[7,20],"two":[8],"articles":[9],"series":[10],"about":[11],"definition":[13],"higher":[15],"order":[16],"polymorphic":[17],"functions":[18],"in":[19],"type":[21,28],"system":[22],"with":[23],"recursive":[24],"types":[25],"and":[26,32],"set-theoretic":[27],"connectives":[29],"(unions,":[30],"intersections,":[31],"negations).":[33]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":5},{"year":2023,"cited_by_count":6},{"year":2022,"cited_by_count":5},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":4},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":4},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":1}],"updated_date":"2026-03-10T16:38:18.471706","created_date":"2016-06-24T00:00:00"}
