{"id":"https://openalex.org/W2952090102","doi":"https://doi.org/10.2168/lmcs-2(2:1)2006","title":"Extending the Extensional Lambda Calculus with Surjective Pairing is Conservative","display_name":"Extending the Extensional Lambda Calculus with Surjective Pairing is Conservative","publication_year":2006,"publication_date":"2006-03-16","ids":{"openalex":"https://openalex.org/W2952090102","doi":"https://doi.org/10.2168/lmcs-2(2:1)2006","mag":"2952090102"},"language":"en","primary_location":{"id":"doi:10.2168/lmcs-2(2:1)2006","is_oa":true,"landing_page_url":"https://doi.org/10.2168/lmcs-2(2:1)2006","pdf_url":"https://lmcs.episciences.org/2249/pdf","source":{"id":"https://openalex.org/S114379355","display_name":"Logical Methods in Computer Science","issn_l":"1860-5974","issn":["1860-5974"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310313916","host_organization_name":"Logical Methods in Computer Science e.V.","host_organization_lineage":["https://openalex.org/P4310313916"],"host_organization_lineage_names":["Logical Methods in Computer Science e.V."],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Logical Methods in Computer Science","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://lmcs.episciences.org/2249/pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"Kristian Stoevring","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Kristian Stoevring","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.5573,"has_fulltext":true,"cited_by_count":4,"citation_normalized_percentile":{"value":0.83098764,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"Volume 2, Issue 2","issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10126","display_name":"Logic, programming, and type systems","score":0.9297000169754028,"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":0.9297000169754028,"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":0.027000000700354576,"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/T10258","display_name":"Philosophy and Theoretical Science","score":0.00800000037997961,"subfield":{"id":"https://openalex.org/subfields/3205","display_name":"Experimental and Cognitive Psychology"},"field":{"id":"https://openalex.org/fields/32","display_name":"Psychology"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/extensional-definition","display_name":"Extensional definition","score":0.8338000178337097},{"id":"https://openalex.org/keywords/surjective-function","display_name":"Surjective function","score":0.7296000123023987},{"id":"https://openalex.org/keywords/pairing","display_name":"Pairing","score":0.6582000255584717},{"id":"https://openalex.org/keywords/axiom","display_name":"Axiom","score":0.6118999719619751},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.5551000237464905},{"id":"https://openalex.org/keywords/lambda","display_name":"Lambda","score":0.5375000238418579},{"id":"https://openalex.org/keywords/lambda-calculus","display_name":"Lambda calculus","score":0.49950000643730164}],"concepts":[{"id":"https://openalex.org/C136137745","wikidata":"https://www.wikidata.org/wiki/Q19515659","display_name":"Extensional definition","level":3,"score":0.8338000178337097},{"id":"https://openalex.org/C119238805","wikidata":"https://www.wikidata.org/wiki/Q229102","display_name":"Surjective function","level":2,"score":0.7296000123023987},{"id":"https://openalex.org/C14103023","wikidata":"https://www.wikidata.org/wiki/Q11681459","display_name":"Pairing","level":3,"score":0.6582000255584717},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6315000057220459},{"id":"https://openalex.org/C167729594","wikidata":"https://www.wikidata.org/wiki/Q17736","display_name":"Axiom","level":2,"score":0.6118999719619751},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.5551000237464905},{"id":"https://openalex.org/C2778113609","wikidata":"https://www.wikidata.org/wiki/Q10897","display_name":"Lambda","level":2,"score":0.5375000238418579},{"id":"https://openalex.org/C135790938","wikidata":"https://www.wikidata.org/wiki/Q242028","display_name":"Lambda calculus","level":2,"score":0.49950000643730164},{"id":"https://openalex.org/C2780432614","wikidata":"https://www.wikidata.org/wiki/Q864213","display_name":"Conservative extension","level":2,"score":0.4374000132083893},{"id":"https://openalex.org/C150355047","wikidata":"https://www.wikidata.org/wiki/Q965432","display_name":"Extensionality","level":2,"score":0.3910999894142151},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3587999939918518},{"id":"https://openalex.org/C61237538","wikidata":"https://www.wikidata.org/wiki/Q855192","display_name":"Simply typed lambda calculus","level":4,"score":0.3531999886035919},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.31619998812675476},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3111000061035156},{"id":"https://openalex.org/C72169020","wikidata":"https://www.wikidata.org/wiki/Q194404","display_name":"Monotonic function","level":2,"score":0.29120001196861267},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.28139999508857727},{"id":"https://openalex.org/C39920170","wikidata":"https://www.wikidata.org/wiki/Q693083","display_name":"Soundness","level":2,"score":0.27000001072883606},{"id":"https://openalex.org/C151797676","wikidata":"https://www.wikidata.org/wiki/Q179692","display_name":"Axiom of choice","level":4,"score":0.2696000039577484},{"id":"https://openalex.org/C108710211","wikidata":"https://www.wikidata.org/wiki/Q11538","display_name":"Mathematical proof","level":2,"score":0.2533999979496002}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.2168/lmcs-2(2:1)2006","is_oa":true,"landing_page_url":"https://doi.org/10.2168/lmcs-2(2:1)2006","pdf_url":"https://lmcs.episciences.org/2249/pdf","source":{"id":"https://openalex.org/S114379355","display_name":"Logical Methods in Computer Science","issn_l":"1860-5974","issn":["1860-5974"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310313916","host_organization_name":"Logical Methods in Computer Science e.V.","host_organization_lineage":["https://openalex.org/P4310313916"],"host_organization_lineage_names":["Logical Methods in Computer Science e.V."],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Logical Methods in Computer Science","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:math/0602544","is_oa":true,"landing_page_url":"http://arxiv.org/abs/math/0602544","pdf_url":"https://arxiv.org/pdf/math/0602544","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"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":null,"raw_type":"text"},{"id":"pmh:oai:doaj.org/article:9bcd831fe1db4fe89ebf239141b000a3","is_oa":true,"landing_page_url":"https://doaj.org/article/9bcd831fe1db4fe89ebf239141b000a3","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Logical Methods in Computer Science, Vol Volume 2, Issue 2 (2006)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.2168/lmcs-2(2:1)2006","is_oa":true,"landing_page_url":"https://doi.org/10.2168/lmcs-2(2:1)2006","pdf_url":"https://lmcs.episciences.org/2249/pdf","source":{"id":"https://openalex.org/S114379355","display_name":"Logical Methods in Computer Science","issn_l":"1860-5974","issn":["1860-5974"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310313916","host_organization_name":"Logical Methods in Computer Science e.V.","host_organization_lineage":["https://openalex.org/P4310313916"],"host_organization_lineage_names":["Logical Methods in Computer Science e.V."],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Logical Methods in Computer Science","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320320671","display_name":"National Research Foundation","ror":"https://ror.org/05s0g1g46"},{"id":"https://openalex.org/F4320320943","display_name":"Danmarks Grundforskningsfond","ror":"https://ror.org/00znyv691"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2952090102.pdf","grobid_xml":"https://content.openalex.org/works/W2952090102.grobid-xml"},"referenced_works_count":16,"referenced_works":["https://openalex.org/W112045510","https://openalex.org/W1507164012","https://openalex.org/W1550542381","https://openalex.org/W1573832301","https://openalex.org/W1727609483","https://openalex.org/W1848205187","https://openalex.org/W1988292549","https://openalex.org/W2006607295","https://openalex.org/W2016191840","https://openalex.org/W2018181305","https://openalex.org/W2067383648","https://openalex.org/W2084776839","https://openalex.org/W2090258249","https://openalex.org/W2130837381","https://openalex.org/W2912720389","https://openalex.org/W4388310127"],"related_works":[],"abstract_inverted_index":{"We":[0],"answer":[1,21],"Klop":[2],"and":[3],"de":[4],"Vrijer's":[5],"question":[6],"whether":[7],"adding":[8],"surjective-pairing":[9],"axioms":[10],"to":[11],"the":[12,33],"extensional":[13,34],"lambda":[14,35],"calculus":[15,36],"yields":[16],"a":[17,25,29],"conservative":[18],"extension.":[19],"The":[20],"is":[22,40],"positive.":[23],"As":[24],"byproduct":[26],"we":[27],"obtain":[28],"\"syntactic\"":[30],"proof":[31],"that":[32],"with":[37],"surjective":[38],"pairing":[39],"consistent.":[41]},"counts_by_year":[{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":1}],"updated_date":"2026-08-05T07:39:15.569665","created_date":"2019-06-27T00:00:00"}