{"id":"https://openalex.org/W2045224305","doi":"https://doi.org/10.2178/jsl/1190150049","title":"A classification of intersection type systems","display_name":"A classification of intersection type systems","publication_year":2002,"publication_date":"2002-03-01","ids":{"openalex":"https://openalex.org/W2045224305","doi":"https://doi.org/10.2178/jsl/1190150049","mag":"2045224305"},"language":"en","primary_location":{"id":"doi:10.2178/jsl/1190150049","is_oa":false,"landing_page_url":"https://doi.org/10.2178/jsl/1190150049","pdf_url":null,"source":{"id":"https://openalex.org/S177675236","display_name":"Journal of Symbolic Logic","issn_l":"0022-4812","issn":["0022-4812","1943-5886"],"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 Symbolic Logic","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://figshare.com/articles/journal_contribution/A_classification_of_intersection_type_systems/27752877","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5038043998","display_name":"M. W. Bunder","orcid":null},"institutions":[{"id":"https://openalex.org/I204824540","display_name":"University of Wollongong","ror":"https://ror.org/00jtmb277","country_code":"AU","type":"education","lineage":["https://openalex.org/I204824540"]}],"countries":["AU"],"is_corresponding":true,"raw_author_name":"M. W. Bunder","raw_affiliation_strings":["School of Mathematics and Applied Statistics, University of Wollongong, Wollongong NSW 2522, Australia, E-mail:","University of Wollongong"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics and Applied Statistics, University of Wollongong, Wollongong NSW 2522, Australia, E-mail:","institution_ids":["https://openalex.org/I204824540"]},{"raw_affiliation_string":"University of Wollongong","institution_ids":["https://openalex.org/I204824540"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5038043998"],"corresponding_institution_ids":["https://openalex.org/I204824540"],"apc_list":{"value":3550,"currency":"USD","value_usd":3550},"apc_paid":null,"fwci":0.5257,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.78574863,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"67","issue":"1","first_page":"353","last_page":"368"},"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":0.95660001039505,"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":0.9448999762535095,"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/undecidable-problem","display_name":"Undecidable problem","score":0.8793333768844604},{"id":"https://openalex.org/keywords/decidability","display_name":"Decidability","score":0.878455400466919},{"id":"https://openalex.org/keywords/intersection","display_name":"Intersection (aeronautics)","score":0.7252288460731506},{"id":"https://openalex.org/keywords/equivalence","display_name":"Equivalence (formal languages)","score":0.6434813737869263},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6196641325950623},{"id":"https://openalex.org/keywords/invariant","display_name":"Invariant (physics)","score":0.5575117468833923},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4754887819290161},{"id":"https://openalex.org/keywords/type","display_name":"Type (biology)","score":0.4714145362377167},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.41792070865631104}],"concepts":[{"id":"https://openalex.org/C192034797","wikidata":"https://www.wikidata.org/wiki/Q3502995","display_name":"Undecidable problem","level":3,"score":0.8793333768844604},{"id":"https://openalex.org/C153269930","wikidata":"https://www.wikidata.org/wiki/Q430001","display_name":"Decidability","level":2,"score":0.878455400466919},{"id":"https://openalex.org/C64543145","wikidata":"https://www.wikidata.org/wiki/Q162942","display_name":"Intersection (aeronautics)","level":2,"score":0.7252288460731506},{"id":"https://openalex.org/C2780069185","wikidata":"https://www.wikidata.org/wiki/Q7977945","display_name":"Equivalence (formal languages)","level":2,"score":0.6434813737869263},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6196641325950623},{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.5575117468833923},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4754887819290161},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.4714145362377167},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.41792070865631104},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","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/C146978453","wikidata":"https://www.wikidata.org/wiki/Q3798668","display_name":"Aerospace engineering","level":1,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.2178/jsl/1190150049","is_oa":false,"landing_page_url":"https://doi.org/10.2178/jsl/1190150049","pdf_url":null,"source":{"id":"https://openalex.org/S177675236","display_name":"Journal of Symbolic Logic","issn_l":"0022-4812","issn":["0022-4812","1943-5886"],"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 Symbolic Logic","raw_type":"journal-article"},{"id":"pmh:oai:ro.uow.edu.au:eispapers-3659","is_oa":false,"landing_page_url":"https://ro.uow.edu.au/eispapers/2650","pdf_url":null,"source":{"id":"https://openalex.org/S4306400510","display_name":"Research Online (University of Wollongong)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I204824540","host_organization_name":"University of Wollongong","host_organization_lineage":["https://openalex.org/I204824540"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Faculty of Engineering and Information Sciences - Papers: Part A","raw_type":"article"},{"id":"pmh:oai:CULeuclid:euclid.jsl/1190150049","is_oa":false,"landing_page_url":"http://projecteuclid.org/euclid.jsl/1190150049","pdf_url":null,"source":{"id":"https://openalex.org/S4306400787","display_name":"Project Euclid (Cornell University)","issn_l":null,"issn":null,"is_oa":false,"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":"","raw_type":"Text"},{"id":"pmh:oai:figshare.com:article/27752877","is_oa":true,"landing_page_url":"https://figshare.com/articles/journal_contribution/A_classification_of_intersection_type_systems/27752877","pdf_url":null,"source":{"id":"https://openalex.org/S4377196282","display_name":"Figshare","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210132348","host_organization_name":"Figshare (United Kingdom)","host_organization_lineage":["https://openalex.org/I4210132348"],"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:figshare.com:article/27752877","is_oa":true,"landing_page_url":"https://figshare.com/articles/journal_contribution/A_classification_of_intersection_type_systems/27752877","pdf_url":null,"source":{"id":"https://openalex.org/S4377196282","display_name":"Figshare","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210132348","host_organization_name":"Figshare (United Kingdom)","host_organization_lineage":["https://openalex.org/I4210132348"],"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":[{"id":"https://metadata.un.org/sdg/10","score":0.41999998688697815,"display_name":"Reduced inequalities"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":10,"referenced_works":["https://openalex.org/W1508807075","https://openalex.org/W1970227944","https://openalex.org/W1976958863","https://openalex.org/W1981303668","https://openalex.org/W1990607696","https://openalex.org/W2010274553","https://openalex.org/W2098607593","https://openalex.org/W2170952169","https://openalex.org/W2988921440","https://openalex.org/W6639587123"],"related_works":["https://openalex.org/W2972379433","https://openalex.org/W1501430220","https://openalex.org/W2989332944","https://openalex.org/W2021891065","https://openalex.org/W2583549044","https://openalex.org/W2119045600","https://openalex.org/W2584984136","https://openalex.org/W2962928105","https://openalex.org/W2170336571","https://openalex.org/W2020140696"],"abstract_inverted_index":{"Abstract":[0],"The":[1,34,110],"first":[2],"system":[3],"of":[4,37,112,123,163,179],"intersection":[5,19,84,118],"types.":[6],"Coppo":[7,52],"and":[8,17,21,26,53,89,126,138,186],"Dezani":[9,54],"[3],":[10],"extended":[11,56],"simple":[12],"types":[13,40,65],"to":[14,29,58,116,132,141,155,161,189],"include":[15,59],"intersections":[16],"added":[18],"introduction":[20],"elimination":[22],"rules":[23],"((\u039bI":[24],")":[25,28],"(\u039bE)":[27,125],"the":[30,103,157,164,174],"type":[31,85,119],"assignment":[32],"system.":[33],"major":[35],"advantage":[36],"these":[38,76,180],"new":[39],"was":[41],"that":[42,73,96,173],"they":[43],"were":[44],"invariant":[45,66],"under":[46,67],"\u03b2-equality,":[47],"later":[48,153,169],"work":[49],"by":[50],"Barendregt,":[51],"[1],":[55],"this":[57,97,113],"an":[60],"(\u03b7)":[61],"rule":[62],"which":[63],"gave":[64],"\u03b2\u03b7-reduction.":[68],"Urzyczyn":[69],"proved":[70],"in":[71,94,135,144,151,176],"[6]":[72],"for":[74,102],"both":[75],"systems":[77,120,175],"it":[78],"is":[79,86,100,115,149],"undecidable":[80],"whether":[81],"a":[82,152],"given":[83],"empty.":[87],"Kurata":[88],"Takahashi":[90],"however":[91],"have":[92,182],"shown":[93],"[5]":[95],"emptiness":[98],"problem":[99],"decidable":[101,183],"sytem":[104],"including":[105],"(\u03b7).":[106],"but":[107],"without":[108],"(\u039bI).":[109],"aim":[111],"paper":[114,154,170],"classify":[117],"lacking":[121],"some":[122],"(\u039bI),":[124],"(\u03b7),":[127],"into":[128],"equivalence":[129],"classes":[130,181],"according":[131,140],"their":[133,142],"strength":[134,143],"typing":[136],"\u03bb-terms":[137],"also":[139,171],"possessing":[145],"inhabitants.":[146,192],"This":[147,168],"classification":[148],"used":[150],"extend":[156],"above":[158],"(un)decidability":[159],"results":[160],"two":[162,177],"five":[165],"inhabitation-equivalence":[166],"classes.":[167],"shows":[172],"more":[178],"inhabitation":[184],"problems":[185],"develops":[187],"algorithms":[188],"find":[190],"such":[191]},"counts_by_year":[],"updated_date":"2026-08-21T09:56:20.448147","created_date":"2025-10-10T00:00:00"}