{"id":"https://openalex.org/W4401070689","doi":"https://doi.org/10.46298/lmcs-20(3:10)2024","title":"A Faithful and Quantitative Notion of Distant Reduction for the Lambda-Calculus with Generalized Applications","display_name":"A Faithful and Quantitative Notion of Distant Reduction for the Lambda-Calculus with Generalized Applications","publication_year":2024,"publication_date":"2024-07-29","ids":{"openalex":"https://openalex.org/W4401070689","doi":"https://doi.org/10.46298/lmcs-20(3:10)2024"},"language":"en","primary_location":{"id":"doi:10.46298/lmcs-20(3:10)2024","is_oa":true,"landing_page_url":"http://dx.doi.org/10.46298/lmcs-20(3:10)2024","pdf_url":"https://lmcs.episciences.org/13995/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":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://lmcs.episciences.org/13995/pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5055205012","display_name":"Jos\u00e9 Esp\u00edrito Santo","orcid":"https://orcid.org/0000-0002-6348-5653"},"institutions":[{"id":"https://openalex.org/I99682543","display_name":"University of Minho","ror":"https://ror.org/037wpkx04","country_code":"PT","type":"education","lineage":["https://openalex.org/I99682543"]}],"countries":["PT"],"is_corresponding":false,"raw_author_name":"Jos\u00e9 Esp\u00edrito Santo","raw_affiliation_strings":["Universidade do Minho, Braga, Portugal"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Universidade do Minho, Braga, Portugal","institution_ids":["https://openalex.org/I99682543"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5077330939","display_name":"Delia Kesner","orcid":"https://orcid.org/0000-0003-4254-3129"},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I204730241","display_name":"Universit\u00e9 Paris Cit\u00e9","ror":"https://ror.org/05f82e368","country_code":"FR","type":"education","lineage":["https://openalex.org/I204730241"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Delia Kesner","raw_affiliation_strings":["Universit\u00e9 Paris Cit\u00e9, CNRS, IRIF, Paris, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Universit\u00e9 Paris Cit\u00e9, CNRS, IRIF, Paris, France","institution_ids":["https://openalex.org/I204730241","https://openalex.org/I1294671590"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5029529896","display_name":"Lo\u00efc Peyrot","orcid":"https://orcid.org/0000-0002-1398-7460"},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I204730241","display_name":"Universit\u00e9 Paris Cit\u00e9","ror":"https://ror.org/05f82e368","country_code":"FR","type":"education","lineage":["https://openalex.org/I204730241"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Lo\u00efc Peyrot","raw_affiliation_strings":["Universit\u00e9 Paris Cit\u00e9, CNRS, IRIF, Paris, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Universit\u00e9 Paris Cit\u00e9, CNRS, IRIF, Paris, France","institution_ids":["https://openalex.org/I204730241","https://openalex.org/I1294671590"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.3205,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.60485762,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":95,"max":98},"biblio":{"volume":"Volume 20, Issue 3","issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.8701000213623047,"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"}},"topics":[{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.8701000213623047,"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/T10320","display_name":"Neural Networks and Applications","score":0.743399977684021,"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/T11206","display_name":"Model Reduction and Neural Networks","score":0.7426000237464905,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/typed-lambda-calculus","display_name":"Typed lambda calculus","score":0.7660723924636841},{"id":"https://openalex.org/keywords/lambda-calculus","display_name":"Lambda calculus","score":0.6104128360748291},{"id":"https://openalex.org/keywords/church-encoding","display_name":"Church encoding","score":0.6094276905059814},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.608799159526825},{"id":"https://openalex.org/keywords/simply-typed-lambda-calculus","display_name":"Simply typed lambda calculus","score":0.5968666672706604},{"id":"https://openalex.org/keywords/lambda","display_name":"Lambda","score":0.5822315216064453},{"id":"https://openalex.org/keywords/reduction","display_name":"Reduction (mathematics)","score":0.49976062774658203},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.46297237277030945},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.418699711561203},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.3945654332637787},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.34597334265708923},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3200988173484802},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.2959076166152954},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.13125750422477722},{"id":"https://openalex.org/keywords/medicine","display_name":"Medicine","score":0.08180481195449829},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.07539716362953186}],"concepts":[{"id":"https://openalex.org/C142156749","wikidata":"https://www.wikidata.org/wiki/Q2607208","display_name":"Typed lambda calculus","level":3,"score":0.7660723924636841},{"id":"https://openalex.org/C135790938","wikidata":"https://www.wikidata.org/wiki/Q242028","display_name":"Lambda calculus","level":2,"score":0.6104128360748291},{"id":"https://openalex.org/C77736955","wikidata":"https://www.wikidata.org/wiki/Q1089708","display_name":"Church encoding","level":5,"score":0.6094276905059814},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.608799159526825},{"id":"https://openalex.org/C61237538","wikidata":"https://www.wikidata.org/wiki/Q855192","display_name":"Simply typed lambda calculus","level":4,"score":0.5968666672706604},{"id":"https://openalex.org/C2778113609","wikidata":"https://www.wikidata.org/wiki/Q10897","display_name":"Lambda","level":2,"score":0.5822315216064453},{"id":"https://openalex.org/C111335779","wikidata":"https://www.wikidata.org/wiki/Q3454686","display_name":"Reduction (mathematics)","level":2,"score":0.49976062774658203},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.46297237277030945},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.418699711561203},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3945654332637787},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.34597334265708923},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3200988173484802},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.2959076166152954},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.13125750422477722},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.08180481195449829},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.07539716362953186},{"id":"https://openalex.org/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","level":1,"score":0.0},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.46298/lmcs-20(3:10)2024","is_oa":true,"landing_page_url":"http://dx.doi.org/10.46298/lmcs-20(3:10)2024","pdf_url":"https://lmcs.episciences.org/13995/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:doaj.org/article:a452807b5ef745c89148dd8613438de1","is_oa":true,"landing_page_url":"https://doaj.org/article/a452807b5ef745c89148dd8613438de1","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 20, Issue 3 (2024)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.46298/lmcs-20(3:10)2024","is_oa":true,"landing_page_url":"http://dx.doi.org/10.46298/lmcs-20(3:10)2024","pdf_url":"https://lmcs.episciences.org/13995/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":[{"id":"https://openalex.org/G6738320923","display_name":"Center of Mathematics of the University of Minho","funder_award_id":"UIDB/00013/2020","funder_id":"https://openalex.org/F4320334779","funder_display_name":"Funda\u00e7\u00e3o para a Ci\u00eancia e a Tecnologia"},{"id":"https://openalex.org/G675164129","display_name":"Center of Mathematics of the University of Minho","funder_award_id":"UIDP/00013/2020","funder_id":"https://openalex.org/F4320334779","funder_display_name":"Funda\u00e7\u00e3o para a Ci\u00eancia e a Tecnologia"}],"funders":[{"id":"https://openalex.org/F4320334779","display_name":"Funda\u00e7\u00e3o para a Ci\u00eancia e a Tecnologia","ror":"https://ror.org/00snfqn58"}],"has_content":{"grobid_xml":false,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4401070689.pdf"},"referenced_works_count":34,"referenced_works":["https://openalex.org/W120450198","https://openalex.org/W174318719","https://openalex.org/W197679765","https://openalex.org/W1527432636","https://openalex.org/W1592547387","https://openalex.org/W1608923249","https://openalex.org/W1648281324","https://openalex.org/W1696268836","https://openalex.org/W1833403382","https://openalex.org/W1971210176","https://openalex.org/W1987185889","https://openalex.org/W1991947308","https://openalex.org/W2008868842","https://openalex.org/W2018181305","https://openalex.org/W2027959102","https://openalex.org/W2028012052","https://openalex.org/W2047063760","https://openalex.org/W2057240078","https://openalex.org/W2060230835","https://openalex.org/W2128959251","https://openalex.org/W2154273644","https://openalex.org/W2162205991","https://openalex.org/W2186809220","https://openalex.org/W2406089210","https://openalex.org/W2557556672","https://openalex.org/W2646210003","https://openalex.org/W2900352879","https://openalex.org/W2909043315","https://openalex.org/W2912339902","https://openalex.org/W2981667736","https://openalex.org/W3003639979","https://openalex.org/W3028421255","https://openalex.org/W4225832821","https://openalex.org/W4308488466"],"related_works":["https://openalex.org/W2761902706","https://openalex.org/W3123171335","https://openalex.org/W2114151019","https://openalex.org/W1595139175","https://openalex.org/W2088376608","https://openalex.org/W2110435210","https://openalex.org/W2189323991","https://openalex.org/W236003875","https://openalex.org/W2114701904","https://openalex.org/W2153353244"],"abstract_inverted_index":{"We":[0,44,92],"introduce":[1],"a":[2,61,71,88,108,136,141],"call-by-name":[3],"lambda-calculus":[4],"$\\lambda":[5,98,122,138,162],"Jn$":[6,99,123],"with":[7,13,37],"generalized":[8,29,38],"applications":[9,30,39],"which":[10,84],"is":[11,85],"equipped":[12],"distant":[14],"reduction.":[15],"This":[16,68],"allows":[17],"to":[18,23,79,101],"unblock":[19],"$\\beta$-redexes":[20],"without":[21],"resorting":[22],"the":[24,33,82,112,125,156,165],"standard":[25],"permutative":[26,173],"conversions":[27],"of":[28,40,48,60,75,107,132],"used":[31],"in":[32,81,111],"original":[34,126],"$\\Lambda":[35,127],"J$-calculus":[36,128],"Joachimski":[41],"and":[42,51,124,147],"Matthes.":[43],"show":[45,94],"strong":[46,56,76,117,133,149],"normalization":[47,57,77,150],"simply-typed":[49],"terms,":[50],"we":[52],"then":[53],"fully":[54],"characterize":[55],"by":[58,105,155],"means":[59,106],"quantitative":[62,157,168],"(i.e.":[63],"non-idempotent":[64],"intersection)":[65],"typing":[66,158],"system.":[67],"characterization":[69],"uses":[70],"non-trivial":[72],"inductive":[73],"definition":[74],"--related":[78],"others":[80],"literature--,":[83],"based":[86],"on":[87],"weak-head":[89],"normalizing":[90],"strategy.":[91],"also":[93,152],"that":[95,114,167],"our":[96,120],"calculus":[97,121],"relates":[100],"explicit":[102,145],"substitution":[103],"calculi":[104],"faithful":[109,142],"translation,":[110],"sense":[113],"it":[115],"preserves":[116],"normalization.":[118,134],"Moreover,":[119],"determine":[129],"equivalent":[130],"notions":[131],"As":[135],"consequence,":[137],"J$":[139],"inherits":[140],"translation":[143],"into":[144],"substitutions,":[146],"its":[148],"can":[151],"be":[153],"characterized":[154],"system":[159],"designed":[160],"for":[161,172],"Jn$,":[163],"despite":[164],"fact":[166],"subject":[169],"reduction":[170],"fails":[171],"conversions.":[174]},"counts_by_year":[{"year":2026,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}