{"id":"https://openalex.org/W1989315443","doi":"https://doi.org/10.1145/1013963.1013980","title":"Type inference with expansion variables and intersection types in system E and an exact correspondence with \u03b2-reduction","display_name":"Type inference with expansion variables and intersection types in system E and an exact correspondence with \u03b2-reduction","publication_year":2004,"publication_date":"2004-08-24","ids":{"openalex":"https://openalex.org/W1989315443","doi":"https://doi.org/10.1145/1013963.1013980","mag":"1989315443"},"language":"en","primary_location":{"id":"doi:10.1145/1013963.1013980","is_oa":false,"landing_page_url":"https://doi.org/10.1145/1013963.1013980","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 6th ACM SIGPLAN international conference on Principles and practice of declarative programming","raw_type":"proceedings-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/A5019668328","display_name":"S\u00e9bastien Carlier","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"S\u00e9bastien Carlier","raw_affiliation_strings":["Heriot-Watt University"],"affiliations":[{"raw_affiliation_string":"Heriot-Watt University","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5113483345","display_name":"J. B. Wells","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"J. B. Wells","raw_affiliation_strings":["Heriot-Watt University"],"affiliations":[{"raw_affiliation_string":"Heriot-Watt University","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5019668328"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":2.2485,"has_fulltext":false,"cited_by_count":11,"citation_normalized_percentile":{"value":0.88954621,"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":"132","last_page":"143"},"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/T10142","display_name":"Formal Methods in Verification","score":0.9854999780654907,"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"}},{"id":"https://openalex.org/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.9815999865531921,"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/unification","display_name":"Unification","score":0.8774425983428955},{"id":"https://openalex.org/keywords/inference","display_name":"Inference","score":0.8049328327178955},{"id":"https://openalex.org/keywords/intersection","display_name":"Intersection (aeronautics)","score":0.8012092709541321},{"id":"https://openalex.org/keywords/type-inference","display_name":"Type inference","score":0.7192093729972839},{"id":"https://openalex.org/keywords/reduction","display_name":"Reduction (mathematics)","score":0.6235228180885315},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5777426958084106},{"id":"https://openalex.org/keywords/type","display_name":"Type (biology)","score":0.5328529477119446},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4641408324241638},{"id":"https://openalex.org/keywords/variable-elimination","display_name":"Variable elimination","score":0.4611648917198181},{"id":"https://openalex.org/keywords/variable","display_name":"Variable (mathematics)","score":0.4469098150730133},{"id":"https://openalex.org/keywords/rule-of-inference","display_name":"Rule of inference","score":0.43501484394073486},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3898300528526306},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.3769960105419159},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.26114633679389954},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.23360884189605713},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.06576088070869446}],"concepts":[{"id":"https://openalex.org/C96146094","wikidata":"https://www.wikidata.org/wiki/Q609057","display_name":"Unification","level":2,"score":0.8774425983428955},{"id":"https://openalex.org/C2776214188","wikidata":"https://www.wikidata.org/wiki/Q408386","display_name":"Inference","level":2,"score":0.8049328327178955},{"id":"https://openalex.org/C64543145","wikidata":"https://www.wikidata.org/wiki/Q162942","display_name":"Intersection (aeronautics)","level":2,"score":0.8012092709541321},{"id":"https://openalex.org/C198370458","wikidata":"https://www.wikidata.org/wiki/Q586459","display_name":"Type inference","level":3,"score":0.7192093729972839},{"id":"https://openalex.org/C111335779","wikidata":"https://www.wikidata.org/wiki/Q3454686","display_name":"Reduction (mathematics)","level":2,"score":0.6235228180885315},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5777426958084106},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.5328529477119446},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4641408324241638},{"id":"https://openalex.org/C169272836","wikidata":"https://www.wikidata.org/wiki/Q5668307","display_name":"Variable elimination","level":3,"score":0.4611648917198181},{"id":"https://openalex.org/C182365436","wikidata":"https://www.wikidata.org/wiki/Q50701","display_name":"Variable (mathematics)","level":2,"score":0.4469098150730133},{"id":"https://openalex.org/C3746660","wikidata":"https://www.wikidata.org/wiki/Q1068763","display_name":"Rule of inference","level":2,"score":0.43501484394073486},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3898300528526306},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3769960105419159},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.26114633679389954},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.23360884189605713},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.06576088070869446},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"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/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0},{"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/C146978453","wikidata":"https://www.wikidata.org/wiki/Q3798668","display_name":"Aerospace engineering","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1145/1013963.1013980","is_oa":false,"landing_page_url":"https://doi.org/10.1145/1013963.1013980","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 6th ACM SIGPLAN international conference on Principles and practice of declarative programming","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.7300000190734863,"id":"https://metadata.un.org/sdg/16","display_name":"Peace, Justice and strong institutions"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":41,"referenced_works":["https://openalex.org/W4861723","https://openalex.org/W147093031","https://openalex.org/W785213887","https://openalex.org/W1489375082","https://openalex.org/W1492943981","https://openalex.org/W1498815108","https://openalex.org/W1583851197","https://openalex.org/W1763589622","https://openalex.org/W1970227944","https://openalex.org/W1976808561","https://openalex.org/W1991090339","https://openalex.org/W2010240397","https://openalex.org/W2016076634","https://openalex.org/W2019553601","https://openalex.org/W2021217869","https://openalex.org/W2047914100","https://openalex.org/W2048919922","https://openalex.org/W2056253254","https://openalex.org/W2059860151","https://openalex.org/W2065693797","https://openalex.org/W2067567074","https://openalex.org/W2068336423","https://openalex.org/W2072881702","https://openalex.org/W2085670481","https://openalex.org/W2087381628","https://openalex.org/W2123812977","https://openalex.org/W2127160476","https://openalex.org/W2154273644","https://openalex.org/W2158244462","https://openalex.org/W2161969622","https://openalex.org/W2164105904","https://openalex.org/W2166822586","https://openalex.org/W2167904762","https://openalex.org/W2911772578","https://openalex.org/W4233636389","https://openalex.org/W4291439952","https://openalex.org/W6606070266","https://openalex.org/W6679173468","https://openalex.org/W6684896881","https://openalex.org/W6758538496","https://openalex.org/W7020193950"],"related_works":["https://openalex.org/W2303045392","https://openalex.org/W2026999237","https://openalex.org/W4299511238","https://openalex.org/W3161265422","https://openalex.org/W2733168542","https://openalex.org/W1533278172","https://openalex.org/W1514992909","https://openalex.org/W1829301681","https://openalex.org/W2548165777","https://openalex.org/W1983521033"],"abstract_inverted_index":{"System":[0],"E":[1],"is":[2,37],"a":[3,51,98],"recently":[4],"designed":[5],"type":[6,19,54,102,110],"system":[7],"for":[8,57,61],"the":[9,34,42,130],"\u03bb-calculus":[10],"with":[11,112],"intersection":[12,113],"types":[13,114],"and":[14,39,68,72,89,95,104,115],"expansion":[15,21,48,116],"variables.":[16],"During":[17],"automatic":[18,53],"inference,":[20],"variables":[22,49,117],"allow":[23,40],"postponing":[24],"decisions":[25],"about":[26],"which":[27],"non-syntax-driven":[28],"typing":[29],"rules":[30],"to":[31,84],"use":[32],"until":[33],"right":[35],"information":[36],"available":[38],"implementing":[41],"choices":[43],"via":[44],"substitution.This":[45],"paper":[46],"uses":[47],"in":[50,119],"unification-based":[52],"inference":[55,103,111],"algorithm":[56,71,82],"System~E":[58],"that":[59,109],"succeeds":[60],"every":[62],"\u03b2-normalizable":[63],"\u03bb-term.":[64],"We":[65],"have":[66],"implemented":[67],"tested":[69],"our":[70,74,80],"released":[73],"implementation":[75],"publicly.":[76],"Each":[77],"step":[78],"of":[79,126,129],"unification":[81],"corresponds":[83],"exactly":[85],"one":[86],"\u03b2-reduction":[87],"step,":[88],"vice":[90],"versa.":[91],"This":[92,106],"formally":[93],"verifies":[94],"makes":[96],"precise":[97],"step-for-step":[99],"correspondence":[100],"between":[101],"\u03b2-reduction.":[105],"also":[107],"shows":[108],"can,":[118],"effect,":[120],"carry":[121],"out":[122],"an":[123],"arbitrary":[124],"amount":[125],"partial":[127],"evaluation":[128],"program":[131],"being":[132],"analyzed.":[133]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}