{"id":"https://openalex.org/W2031805453","doi":"https://doi.org/10.2307/2274330","title":"Church-Rosser theorem for typed functional systems","display_name":"Church-Rosser theorem for typed functional systems","publication_year":1985,"publication_date":"1985-09-01","ids":{"openalex":"https://openalex.org/W2031805453","doi":"https://doi.org/10.2307/2274330","mag":"2031805453"},"language":"en","primary_location":{"id":"doi:10.2307/2274330","is_oa":false,"landing_page_url":"https://doi.org/10.2307/2274330","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":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5055847939","display_name":"George Koletsos","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"George Koletsos","raw_affiliation_strings":["Ioulianou 41-43, 104 33 Athens, Greece"],"affiliations":[{"raw_affiliation_string":"Ioulianou 41-43, 104 33 Athens, Greece","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5055847939"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":22,"citation_normalized_percentile":{"value":0.13116378,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"50","issue":"3","first_page":"782","last_page":"790"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10126","display_name":"Logic, programming, and type systems","score":0.9866999983787537,"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":0.9866999983787537,"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/T12002","display_name":"Computability, Logic, AI Algorithms","score":0.9320999979972839,"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/lemma","display_name":"Lemma (botany)","score":0.7485281229019165},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7289885878562927},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.5070221424102783},{"id":"https://openalex.org/keywords/predicate","display_name":"Predicate (mathematical logic)","score":0.5034107565879822},{"id":"https://openalex.org/keywords/lambda-calculus","display_name":"Lambda calculus","score":0.46908822655677795},{"id":"https://openalex.org/keywords/relation","display_name":"Relation (database)","score":0.46096158027648926},{"id":"https://openalex.org/keywords/first-order-logic","display_name":"First-order logic","score":0.432503879070282},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.41986584663391113},{"id":"https://openalex.org/keywords/normalization","display_name":"Normalization (sociology)","score":0.41685783863067627},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.37135905027389526},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3305169939994812},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.11592891812324524}],"concepts":[{"id":"https://openalex.org/C2777759810","wikidata":"https://www.wikidata.org/wiki/Q149316","display_name":"Lemma (botany)","level":3,"score":0.7485281229019165},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7289885878562927},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.5070221424102783},{"id":"https://openalex.org/C140146324","wikidata":"https://www.wikidata.org/wiki/Q1144319","display_name":"Predicate (mathematical logic)","level":2,"score":0.5034107565879822},{"id":"https://openalex.org/C135790938","wikidata":"https://www.wikidata.org/wiki/Q242028","display_name":"Lambda calculus","level":2,"score":0.46908822655677795},{"id":"https://openalex.org/C25343380","wikidata":"https://www.wikidata.org/wiki/Q277521","display_name":"Relation (database)","level":2,"score":0.46096158027648926},{"id":"https://openalex.org/C100481476","wikidata":"https://www.wikidata.org/wiki/Q4055684","display_name":"First-order logic","level":2,"score":0.432503879070282},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.41986584663391113},{"id":"https://openalex.org/C136886441","wikidata":"https://www.wikidata.org/wiki/Q926129","display_name":"Normalization (sociology)","level":2,"score":0.41685783863067627},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.37135905027389526},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3305169939994812},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.11592891812324524},{"id":"https://openalex.org/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","level":1,"score":0.0},{"id":"https://openalex.org/C77088390","wikidata":"https://www.wikidata.org/wiki/Q8513","display_name":"Database","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/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C144024400","wikidata":"https://www.wikidata.org/wiki/Q21201","display_name":"Sociology","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/C46757340","wikidata":"https://www.wikidata.org/wiki/Q43238","display_name":"Poaceae","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},{"id":"https://openalex.org/C19165224","wikidata":"https://www.wikidata.org/wiki/Q23404","display_name":"Anthropology","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.2307/2274330","is_oa":false,"landing_page_url":"https://doi.org/10.2307/2274330","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:CULeuclid:euclid.jsl/1183741913","is_oa":false,"landing_page_url":"http://projecteuclid.org/euclid.jsl/1183741913","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"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":2,"referenced_works":["https://openalex.org/W608264781","https://openalex.org/W2211325406"],"related_works":["https://openalex.org/W3006682748","https://openalex.org/W1097487277","https://openalex.org/W2768610039","https://openalex.org/W4308265086","https://openalex.org/W2949964783","https://openalex.org/W2801357573","https://openalex.org/W2953716828","https://openalex.org/W1678057017","https://openalex.org/W1569934489","https://openalex.org/W2741093489"],"abstract_inverted_index":{"Introduction.":[0],"This":[1,287],"paper":[2],"contains":[3],"a":[4,58,70,75,83,85,87,91,100,103,194,197,201,255,291],"new":[5,220],"proof":[6,26,289],"of":[7,27,129,176,191,225,282,303],"the":[8,12,28,32,43,48,52,61,117,121,127,130,138,143,147,157,169,172,177,188,192,212,223,226,234,238,246,258,263,280,301],"Church-Rosser":[9,29,118,144],"theorem":[10,30,145],"for":[11,31,107,120,146,171,187],"typed":[13,227],"\u03bb-calculus,":[14],"which":[15],"also":[16],"applies":[17],"to":[18,154,232,244,275,300],"systems":[19],"with":[20,137],"infinitely":[21,173],"long":[22],"terms.":[23,305],"The":[24,164,271],"ordinary":[25],"general":[33],"untyped":[34],"calculus":[35],"goes":[36],"as":[37],"follows":[38],"(see":[39,285],"[1]).":[40],"If":[41],"is":[42,64,82,160,166,279],"binary":[44],"reduction":[45,54],"relation":[46,122,148],"between":[47],"terms":[49,69,156],"we":[50,73,141,152,251],"define":[51,276],"one-step":[53],"1":[55,106,123],"in":[56,216,222,237,242],"such":[57,98],"way":[59,239],"that":[60,99,294],"following":[62],"lemma":[63,140,159],"valid.":[65],"Lemma.":[66],"For":[67],"all":[68],"and":[71,78,266],"b":[72,76,204],"have:":[74],"if":[77,80],"only":[79],"there":[81,180],"sequence":[84],"=":[86,93,196,203],"0":[88,108,198],",":[89,199],"\u2026,":[90,200],"n":[92,95,112,190,202],"b,":[94],"\u2265":[96],"0,":[97],"i":[101,102,104,110,195,205,207],"+":[105],"\u2264":[109],"<":[111,208],".":[113,149],"We":[114],"then":[115],"prove":[116,245],"property":[119],"by":[124,133,253],"induction":[125],"on":[126],"length":[128],"reductions.":[131],"And":[132],"combining":[134],"this":[135,250,277],"result":[136],"above":[139,158],"obtain":[142],"Unfortunately":[150],"when":[151],"come":[153],"infinite":[155,178,213,304],"not":[161,182],"valid":[162],"anymore.":[163],"difficulty":[165],"that,":[167],"assuming":[168],"hypothesis":[170],"many":[174],"premises":[175],"rule,":[179],"may":[181],"exist":[183],"an":[184],"upper":[185],"bound":[186],"lengths":[189],"sequences":[193],"(":[206],"\u03b1":[209],");":[210],"cf.":[211],"rule":[214],"(iv)":[215],"\u00a76.":[217],"A":[218],"completely":[219],"idea":[221],"case":[224,302],"\u03bb":[228],"-calculus":[229],"would":[230],"be":[231,297],"exploit":[233],"type":[235,264],"structure":[236,265],"Tait":[240],"did":[241],"order":[243],"normalization":[247],"theorem.":[248],"In":[249],"succeed":[252],"defining":[254],"suitable":[256],"predicate,":[257,260],"monovaluedness":[259],"defined":[261],"over":[262],"having":[267],"some":[268],"nice":[269],"properties.":[270],"key":[272],"notion":[273,281],"permitting":[274],"predicate":[278],"I-form":[283],"term":[284],"below).":[286],"Tait-type":[288],"has":[290],"merit,":[292],"namely":[293],"it":[295],"can":[296],"extended":[298],"immediately":[299]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2017,"cited_by_count":2},{"year":2014,"cited_by_count":1},{"year":2012,"cited_by_count":2}],"updated_date":"2026-04-04T06:10:10.580331","created_date":"2025-10-10T00:00:00"}