{"id":"https://openalex.org/W163270256","doi":"https://doi.org/10.1007/3-540-62688-3_25","title":"A \u03bb-to-CL translation for strong normalization","display_name":"A \u03bb-to-CL translation for strong normalization","publication_year":1997,"publication_date":"1997-01-01","ids":{"openalex":"https://openalex.org/W163270256","doi":"https://doi.org/10.1007/3-540-62688-3_25","mag":"163270256"},"language":"en","primary_location":{"id":"doi:10.1007/3-540-62688-3_25","is_oa":true,"landing_page_url":"https://doi.org/10.1007/3-540-62688-3_25","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"type":"book-chapter","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://doi.org/10.1007/3-540-62688-3_25","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5052310642","display_name":"Yohji Akama","orcid":"https://orcid.org/0000-0002-6652-7150"},"institutions":[{"id":"https://openalex.org/I74801974","display_name":"The University of Tokyo","ror":"https://ror.org/057zh3y96","country_code":"JP","type":"education","lineage":["https://openalex.org/I74801974"]},{"id":"https://openalex.org/I14396692","display_name":"Tokyo University of Information Sciences","ror":"https://ror.org/044bdx604","country_code":"JP","type":"education","lineage":["https://openalex.org/I14396692"]}],"countries":["JP"],"is_corresponding":true,"raw_author_name":"Yohji Akama","raw_affiliation_strings":["Department of Information Science, The University of Tokyo, Japan","The University of Tokyo"],"affiliations":[{"raw_affiliation_string":"Department of Information Science, The University of Tokyo, Japan","institution_ids":["https://openalex.org/I14396692","https://openalex.org/I74801974"]},{"raw_affiliation_string":"The University of Tokyo","institution_ids":["https://openalex.org/I74801974"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5052310642"],"corresponding_institution_ids":["https://openalex.org/I14396692","https://openalex.org/I74801974"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":{"value":5000,"currency":"EUR","value_usd":5392},"fwci":0.822,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.67662226,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"1","last_page":"10"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10126","display_name":"Logic, programming, and type systems","score":0.9958999752998352,"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":0.9958999752998352,"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":0.9786999821662903,"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/T10054","display_name":"Parallel Computing and Optimization Techniques","score":0.9323999881744385,"subfield":{"id":"https://openalex.org/subfields/1708","display_name":"Hardware and Architecture"},"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/homomorphism","display_name":"Homomorphism","score":0.659231424331665},{"id":"https://openalex.org/keywords/translation","display_name":"Translation (biology)","score":0.5849230885505676},{"id":"https://openalex.org/keywords/normalization","display_name":"Normalization (sociology)","score":0.573832094669342},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.4395713806152344},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.4394165575504303},{"id":"https://openalex.org/keywords/term","display_name":"Term (time)","score":0.4254327118396759},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4206470251083374},{"id":"https://openalex.org/keywords/lambda-calculus","display_name":"Lambda calculus","score":0.41287505626678467},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.40786027908325195},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3083617091178894},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.2040627896785736}],"concepts":[{"id":"https://openalex.org/C4042151","wikidata":"https://www.wikidata.org/wiki/Q215111","display_name":"Homomorphism","level":2,"score":0.659231424331665},{"id":"https://openalex.org/C149364088","wikidata":"https://www.wikidata.org/wiki/Q185917","display_name":"Translation (biology)","level":4,"score":0.5849230885505676},{"id":"https://openalex.org/C136886441","wikidata":"https://www.wikidata.org/wiki/Q926129","display_name":"Normalization (sociology)","level":2,"score":0.573832094669342},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.4395713806152344},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.4394165575504303},{"id":"https://openalex.org/C61797465","wikidata":"https://www.wikidata.org/wiki/Q1188986","display_name":"Term (time)","level":2,"score":0.4254327118396759},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4206470251083374},{"id":"https://openalex.org/C135790938","wikidata":"https://www.wikidata.org/wiki/Q242028","display_name":"Lambda calculus","level":2,"score":0.41287505626678467},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.40786027908325195},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3083617091178894},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.2040627896785736},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C19165224","wikidata":"https://www.wikidata.org/wiki/Q23404","display_name":"Anthropology","level":1,"score":0.0},{"id":"https://openalex.org/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","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/C144024400","wikidata":"https://www.wikidata.org/wiki/Q21201","display_name":"Sociology","level":0,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C105580179","wikidata":"https://www.wikidata.org/wiki/Q188928","display_name":"Messenger RNA","level":3,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/3-540-62688-3_25","is_oa":true,"landing_page_url":"https://doi.org/10.1007/3-540-62688-3_25","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"}],"best_oa_location":{"id":"doi:10.1007/3-540-62688-3_25","is_oa":true,"landing_page_url":"https://doi.org/10.1007/3-540-62688-3_25","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":16,"referenced_works":["https://openalex.org/W126568045","https://openalex.org/W1510403819","https://openalex.org/W1607215431","https://openalex.org/W1634878621","https://openalex.org/W1853838474","https://openalex.org/W2045304669","https://openalex.org/W2063068243","https://openalex.org/W2110333178","https://openalex.org/W2126018011","https://openalex.org/W2154273644","https://openalex.org/W2172074573","https://openalex.org/W2329766482","https://openalex.org/W3039529476","https://openalex.org/W3143737500","https://openalex.org/W4236364473","https://openalex.org/W7064704334"],"related_works":["https://openalex.org/W4308159138","https://openalex.org/W1979798674","https://openalex.org/W3169947911","https://openalex.org/W4327811209","https://openalex.org/W3037616202","https://openalex.org/W390508480","https://openalex.org/W2375240985","https://openalex.org/W2963079901","https://openalex.org/W2171111248","https://openalex.org/W1678057017"],"abstract_inverted_index":{"We":[0],"introduce":[1],"a":[2,57,76,79,90],"simple":[3],"translation":[4,20,55],"from":[5,46,78],"\u03bb-calculus":[6,35,47,63],"to":[7,48,89],"combinatory":[8,82,92],"logic":[9],"(cl)":[10],"such":[11],"that:":[12],"A":[13,23],"is":[14,24],"an":[15,25],"SN":[16,26,59,87,97],"\u03bb-term":[17],"iff":[18],"the":[19,43,51,65],"result":[21],"of":[22,28,42,61],"term":[27],"cl":[29],"(the":[30],"reductions":[31],"are":[32],"\u03b2-reduction":[33],"in":[34,39],"and":[36],"weak":[37],"reduction":[38],"cl).":[40],"None":[41],"conventional":[44],"translations":[45],"CL":[49],"satisfy":[50],"above":[52],"property.":[53],"Our":[54],"provides":[56],"simpler":[58],"proof":[60],"G\u00f6del's":[62],"by":[64],"ordinal":[66],"number":[67],"assignment":[68],"method.":[69],"By":[70],"using":[71],"our":[72],"translation,":[73],"we":[74],"construct":[75],"homomorphism":[77],"conditionally":[80],"partial":[81,91],"algebra":[83,93],"which":[84,94],"arises":[85,95],"over":[86,96],"\u03bb-terms":[88],"CL-terms.":[98]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}