{"id":"https://openalex.org/W2402296188","doi":"https://doi.org/10.1017/s0956796800020025","title":"Introduction to generalized type systems","display_name":"Introduction to generalized type systems","publication_year":1991,"publication_date":"1991-04-01","ids":{"openalex":"https://openalex.org/W2402296188","doi":"https://doi.org/10.1017/s0956796800020025","mag":"2402296188"},"language":"en","primary_location":{"id":"doi:10.1017/s0956796800020025","is_oa":true,"landing_page_url":"https://doi.org/10.1017/s0956796800020025","pdf_url":"https://www.cambridge.org/core/services/aop-cambridge-core/content/view/869991BA6A99180BF96A616894C6D710/S0956796800020025a.pdf/div-class-title-introduction-to-generalized-type-systems-div.pdf","source":{"id":"https://openalex.org/S12266929","display_name":"Journal of Functional Programming","issn_l":"0956-7968","issn":["0956-7968","1469-7653"],"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":"Journal of Functional Programming","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://www.cambridge.org/core/services/aop-cambridge-core/content/view/869991BA6A99180BF96A616894C6D710/S0956796800020025a.pdf/div-class-title-introduction-to-generalized-type-systems-div.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5016150987","display_name":"Henk Barendregt","orcid":"https://orcid.org/0000-0002-3735-4078"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Henk Barendregt","raw_affiliation_strings":["Catholic University Nijmegen, The Netherlands"],"affiliations":[{"raw_affiliation_string":"Catholic University Nijmegen, The Netherlands","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5016150987"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":14.0259,"has_fulltext":false,"cited_by_count":229,"citation_normalized_percentile":{"value":0.98976011,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":100},"biblio":{"volume":"1","issue":"2","first_page":"125","last_page":"154"},"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":0.995199978351593,"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":0.980400025844574,"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/computer-science","display_name":"Computer science","score":0.7659944295883179},{"id":"https://openalex.org/keywords/type","display_name":"Type (biology)","score":0.6061043739318848},{"id":"https://openalex.org/keywords/lambda-calculus","display_name":"Lambda calculus","score":0.5996220707893372},{"id":"https://openalex.org/keywords/representation","display_name":"Representation (politics)","score":0.5121688842773438},{"id":"https://openalex.org/keywords/cube","display_name":"Cube (algebra)","score":0.49039554595947266},{"id":"https://openalex.org/keywords/interpretation","display_name":"Interpretation (philosophy)","score":0.4484609365463257},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.4393068552017212},{"id":"https://openalex.org/keywords/type-theory","display_name":"Type theory","score":0.4316999912261963},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.3684869408607483},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.32804155349731445},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.32775384187698364},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.21665549278259277},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.14326879382133484},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.07845675945281982}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7659944295883179},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.6061043739318848},{"id":"https://openalex.org/C135790938","wikidata":"https://www.wikidata.org/wiki/Q242028","display_name":"Lambda calculus","level":2,"score":0.5996220707893372},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.5121688842773438},{"id":"https://openalex.org/C53051483","wikidata":"https://www.wikidata.org/wiki/Q861555","display_name":"Cube (algebra)","level":2,"score":0.49039554595947266},{"id":"https://openalex.org/C527412718","wikidata":"https://www.wikidata.org/wiki/Q855395","display_name":"Interpretation (philosophy)","level":2,"score":0.4484609365463257},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.4393068552017212},{"id":"https://openalex.org/C93682546","wikidata":"https://www.wikidata.org/wiki/Q1056428","display_name":"Type theory","level":3,"score":0.4316999912261963},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.3684869408607483},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.32804155349731445},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.32775384187698364},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.21665549278259277},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.14326879382133484},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.07845675945281982},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","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/C94625758","wikidata":"https://www.wikidata.org/wiki/Q7163","display_name":"Politics","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}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1017/s0956796800020025","is_oa":true,"landing_page_url":"https://doi.org/10.1017/s0956796800020025","pdf_url":"https://www.cambridge.org/core/services/aop-cambridge-core/content/view/869991BA6A99180BF96A616894C6D710/S0956796800020025a.pdf/div-class-title-introduction-to-generalized-type-systems-div.pdf","source":{"id":"https://openalex.org/S12266929","display_name":"Journal of Functional Programming","issn_l":"0956-7968","issn":["0956-7968","1469-7653"],"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":"Journal of Functional Programming","raw_type":"journal-article"},{"id":"pmh:ru:oai:repository.ubn.ru.nl:2066/17240","is_oa":true,"landing_page_url":"http://hdl.handle.net/2066/17240","pdf_url":"http://hdl.handle.net/2066/17240","source":{"id":"https://openalex.org/S4306401843","display_name":"Data Archiving and Networked Services (DANS)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1322597698","host_organization_name":"Royal Netherlands Academy of Arts and Sciences","host_organization_lineage":["https://openalex.org/I1322597698"],"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":"Journal of Functional Programming, 1, 124 - 154","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"doi:10.1017/s0956796800020025","is_oa":true,"landing_page_url":"https://doi.org/10.1017/s0956796800020025","pdf_url":"https://www.cambridge.org/core/services/aop-cambridge-core/content/view/869991BA6A99180BF96A616894C6D710/S0956796800020025a.pdf/div-class-title-introduction-to-generalized-type-systems-div.pdf","source":{"id":"https://openalex.org/S12266929","display_name":"Journal of Functional Programming","issn_l":"0956-7968","issn":["0956-7968","1469-7653"],"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":"Journal of Functional Programming","raw_type":"journal-article"},"sustainable_development_goals":[{"score":0.5,"id":"https://metadata.un.org/sdg/10","display_name":"Reduced inequalities"}],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2402296188.pdf","grobid_xml":"https://content.openalex.org/works/W2402296188.grobid-xml"},"referenced_works_count":25,"referenced_works":["https://openalex.org/W4861723","https://openalex.org/W153553164","https://openalex.org/W569543113","https://openalex.org/W600819829","https://openalex.org/W608264781","https://openalex.org/W620963748","https://openalex.org/W1537854563","https://openalex.org/W1570195473","https://openalex.org/W1595372275","https://openalex.org/W1986402635","https://openalex.org/W1996404651","https://openalex.org/W2010152469","https://openalex.org/W2027657506","https://openalex.org/W2132425970","https://openalex.org/W2143703626","https://openalex.org/W2151384546","https://openalex.org/W2154273644","https://openalex.org/W2313175711","https://openalex.org/W2398461955","https://openalex.org/W2561675875","https://openalex.org/W2907211237","https://openalex.org/W4246782858","https://openalex.org/W4256124958","https://openalex.org/W4291439952","https://openalex.org/W4388299483"],"related_works":["https://openalex.org/W4300608199","https://openalex.org/W1990320768","https://openalex.org/W1485978165","https://openalex.org/W1480879962","https://openalex.org/W2139102157","https://openalex.org/W2167486301","https://openalex.org/W2121082846","https://openalex.org/W2601088302","https://openalex.org/W2033580006","https://openalex.org/W2152655108"],"abstract_inverted_index":{"Abstract":[0],"Programming":[1],"languages":[2,24],"often":[3],"come":[4],"with":[5],"type":[6,78,107],"systems.":[7,116],"Some":[8],"of":[9,20,27,39,49,60,63,72,76,93],"these":[10,40],"are":[11,14,31,109],"simple,":[12],"others":[13],"sophisticated.":[15],"As":[16],"a":[17,53,58,73,125],"stylistic":[18],"representation":[19],"types":[21],"in":[22,69,96],"programming":[23],"several":[25],"versions":[26],"typed":[28],"lambda":[29],"calculus":[30],"studied.":[32],"During":[33],"the":[34,61,70,91,97,105,120],"last":[35],"20":[36],"years":[37],"many":[38,114],"systems":[41,79,95,108],"have":[42,88],"appeared,":[43],"so":[44],"there":[45],"is":[46],"some":[47],"need":[48],"classification.":[50],"Working":[51],"towards":[52],"taxonomy,":[54],"Barendregt":[55],"(1991)":[56],"gives":[57],"fine-structure":[59],"theory":[62],"constructions":[64],"(Coquand":[65],"and":[66,85],"Huet":[67],"1988)":[68],"form":[71],"canonical":[74,127],"cube":[75],"eight":[77],"ordered":[80],"by":[81],"inclusion.":[82],"Berardi":[83,100],"(1988)":[84,87],"Terlouw":[86],"independently":[89],"generalized":[90,106],"method":[92],"constructing":[94],"\u03bb-cube.":[98],"Moreover,":[99],"(1988,":[101],"1990)":[102],"showed":[103],"that":[104,118],"flexible":[110],"enough":[111],"to":[112],"describe":[113],"logical":[115],"In":[117],"way":[119],"well-known":[121],"propositions-as-types":[122],"interpretation":[123],"obtains":[124],"nice":[126],"form.":[128]},"counts_by_year":[{"year":2026,"cited_by_count":5},{"year":2025,"cited_by_count":9},{"year":2024,"cited_by_count":6},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":5},{"year":2021,"cited_by_count":7},{"year":2020,"cited_by_count":8},{"year":2019,"cited_by_count":9},{"year":2018,"cited_by_count":10},{"year":2017,"cited_by_count":4},{"year":2016,"cited_by_count":12},{"year":2015,"cited_by_count":10},{"year":2014,"cited_by_count":14},{"year":2013,"cited_by_count":8},{"year":2012,"cited_by_count":9}],"updated_date":"2026-04-23T09:07:50.710637","created_date":"2025-10-10T00:00:00"}