{"id":"https://openalex.org/W2153418127","doi":"https://doi.org/10.2178/jsl/1120224727","title":"The Church-Rosser property in symmetric combinatory logic","display_name":"The Church-Rosser property in symmetric combinatory logic","publication_year":2005,"publication_date":"2005-06-01","ids":{"openalex":"https://openalex.org/W2153418127","doi":"https://doi.org/10.2178/jsl/1120224727","mag":"2153418127"},"language":"en","primary_location":{"id":"doi:10.2178/jsl/1120224727","is_oa":false,"landing_page_url":"https://doi.org/10.2178/jsl/1120224727","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/A5064142183","display_name":"Katalin Bimb\u00f3","orcid":"https://orcid.org/0000-0002-6769-9704"},"institutions":[{"id":"https://openalex.org/I4210119109","display_name":"Indiana University Bloomington","ror":"https://ror.org/02k40bc56","country_code":"US","type":"education","lineage":["https://openalex.org/I4210119109","https://openalex.org/I592451"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Katalin Bimb\u00f3","raw_affiliation_strings":["School of Informatics, Indiana University, 901 East 10th Street, Bloomington, IN 47408-3912., USA, E-mail:","School of Informatics, Indiana University, 901 East 10th Street, Bloomington, IN 47408-3912., USA, E-mail: kbimbo@indiana.edu, URL: http/mypage.iu.edu~kbimbo"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Informatics, Indiana University, 901 East 10th Street, Bloomington, IN 47408-3912., USA, E-mail:","institution_ids":["https://openalex.org/I4210119109"]},{"raw_affiliation_string":"School of Informatics, Indiana University, 901 East 10th Street, Bloomington, IN 47408-3912., USA, E-mail: kbimbo@indiana.edu, URL: http/mypage.iu.edu~kbimbo","institution_ids":["https://openalex.org/I4210119109"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5064142183"],"corresponding_institution_ids":["https://openalex.org/I4210119109"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.15824486,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"70","issue":"2","first_page":"536","last_page":"556"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10126","display_name":"Logic, programming, and type systems","score":0.9994999766349792,"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":0.9994999766349792,"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":0.9983999729156494,"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/T11727","display_name":"Advanced Algebra and Logic","score":0.9979000091552734,"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/combinatory-logic","display_name":"Combinatory logic","score":0.9900912046432495},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.713005006313324},{"id":"https://openalex.org/keywords/property","display_name":"Property (philosophy)","score":0.645148515701294},{"id":"https://openalex.org/keywords/dual","display_name":"Dual (grammatical number)","score":0.5171020030975342},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3584445118904114},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.3402548134326935},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3174118399620056},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.23118168115615845},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.08603677153587341},{"id":"https://openalex.org/keywords/linguistics","display_name":"Linguistics","score":0.06650453805923462}],"concepts":[{"id":"https://openalex.org/C79678938","wikidata":"https://www.wikidata.org/wiki/Q1481571","display_name":"Combinatory logic","level":2,"score":0.9900912046432495},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.713005006313324},{"id":"https://openalex.org/C189950617","wikidata":"https://www.wikidata.org/wiki/Q937228","display_name":"Property (philosophy)","level":2,"score":0.645148515701294},{"id":"https://openalex.org/C2780980858","wikidata":"https://www.wikidata.org/wiki/Q110022","display_name":"Dual (grammatical number)","level":2,"score":0.5171020030975342},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3584445118904114},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3402548134326935},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3174118399620056},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.23118168115615845},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.08603677153587341},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.06650453805923462},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.2178/jsl/1120224727","is_oa":false,"landing_page_url":"https://doi.org/10.2178/jsl/1120224727","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/1120224727","is_oa":false,"landing_page_url":"http://projecteuclid.org/euclid.jsl/1120224727","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":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":13,"referenced_works":["https://openalex.org/W1523047387","https://openalex.org/W1538303046","https://openalex.org/W1594912681","https://openalex.org/W1599456589","https://openalex.org/W1990009925","https://openalex.org/W2026765907","https://openalex.org/W2044621165","https://openalex.org/W2056239109","https://openalex.org/W2153111627","https://openalex.org/W2177357765","https://openalex.org/W2328992634","https://openalex.org/W2331685757","https://openalex.org/W4388284697"],"related_works":["https://openalex.org/W2026765907","https://openalex.org/W4307413753","https://openalex.org/W1975604118","https://openalex.org/W119766800","https://openalex.org/W2162268423","https://openalex.org/W2313450777","https://openalex.org/W2988498873","https://openalex.org/W4242826518","https://openalex.org/W4236097997","https://openalex.org/W2288082802"],"abstract_inverted_index":{"Abstract":[0],"Symmetic":[1],"combinatory":[2,35,44,63,93,113,117,122,141],"logic":[3,36,114,142],"with":[4,124],"the":[5,14,23,46,50,53,65,145,149,154],"symmetric":[6,17,34,43,70,92,112,140],"analogue":[7],"of":[8,16,52],"a":[9,28,125,129,139],"combinatorially":[10],"complete":[11],"base":[12],"(in":[13],"form":[15,73],"\u03bb-calculus)":[18],"is":[19,67],"known":[20],"to":[21,57,88],"lack":[22],"Church-Rosser":[24,47,155],"property.":[25,48,156],"We":[26],"prove":[27,137],"much":[29],"stronger":[30],"theorem":[31],"that":[32,37,90,95,138,143],"no":[33],"contains":[38,144],"at":[39],"least":[40],"two":[41],"proper":[42],"has":[45,153],"Although":[49],"statement":[51],"result":[54,105],"looks":[55],"similar":[56],"an":[58],"earlier":[59],"one":[60,98],"concerning":[61],"dual":[62,116,121,131],"logic,":[64,118],"proof":[66],"different":[68],"because":[69],"combinators":[71],"may":[72],"redexes":[74],"in":[75],"both":[76],"left":[77],"and":[78,148],"right":[79],"associated":[80],"terms.":[81],"Perhaps":[82],"surprisingly,":[83],"we":[84,136],"are":[85,101,133],"also":[86],"able":[87],"show":[89],"certain":[91],"logics":[94],"include":[96],"just":[97],"particular":[99],"constant":[100],"not":[102],"confluent.":[103],"This":[104],"(beyond":[106],"other":[107],"differences)":[108],"clearly":[109],"sets":[110],"apart":[111],"from":[115],"since":[119],"all":[120],"systems":[123],"single":[126,130],"combinator":[127,132,152],"or":[128],"Church-Rosser.":[134],"Lastly,":[135],"fixed":[146],"point":[147],"one-place":[150],"identity":[151]},"counts_by_year":[{"year":2014,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}