{"id":"https://openalex.org/W2158532214","doi":"https://doi.org/10.1016/s1571-0661(04)80542-5","title":"Comparing Calculi of Explicit Substitutions with Eta-reduction","display_name":"Comparing Calculi of Explicit Substitutions with Eta-reduction","publication_year":2002,"publication_date":"2002-10-01","ids":{"openalex":"https://openalex.org/W2158532214","doi":"https://doi.org/10.1016/s1571-0661(04)80542-5","mag":"2158532214"},"language":"en","primary_location":{"id":"doi:10.1016/s1571-0661(04)80542-5","is_oa":true,"landing_page_url":"https://doi.org/10.1016/s1571-0661(04)80542-5","pdf_url":null,"source":{"id":"https://openalex.org/S50368787","display_name":"Electronic Notes in Theoretical Computer Science","issn_l":"1571-0661","issn":["1571-0661"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Electronic Notes in Theoretical Computer Science","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://doi.org/10.1016/s1571-0661(04)80542-5","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5043206848","display_name":"Maur\u00edcio Ayala-Rinc\u00f3n","orcid":"https://orcid.org/0000-0003-0089-3905"},"institutions":[{"id":"https://openalex.org/I150729083","display_name":"Universidade de Bras\u00edlia","ror":"https://ror.org/02xfp8v59","country_code":"BR","type":"education","lineage":["https://openalex.org/I150729083"]}],"countries":["BR"],"is_corresponding":true,"raw_author_name":"Mauricio Ayala-Rinc\u00f3n","raw_affiliation_strings":["Departamento de Matem\u00e1tica, Universidade de Bras\u00edlia, Bras\u00edlia D.F., Brasil"],"affiliations":[{"raw_affiliation_string":"Departamento de Matem\u00e1tica, Universidade de Bras\u00edlia, Bras\u00edlia D.F., Brasil","institution_ids":["https://openalex.org/I150729083"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5004006407","display_name":"Fl\u00e1vio L. C. de Moura","orcid":null},"institutions":[{"id":"https://openalex.org/I150729083","display_name":"Universidade de Bras\u00edlia","ror":"https://ror.org/02xfp8v59","country_code":"BR","type":"education","lineage":["https://openalex.org/I150729083"]}],"countries":["BR"],"is_corresponding":true,"raw_author_name":"Fl\u00e1vio L.C. de Moura","raw_affiliation_strings":["Departamento de Matem\u00e1tica, Universidade de Bras\u00edlia, Bras\u00edlia D.F., Brasil"],"affiliations":[{"raw_affiliation_string":"Departamento de Matem\u00e1tica, Universidade de Bras\u00edlia, Bras\u00edlia D.F., Brasil","institution_ids":["https://openalex.org/I150729083"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5114253581","display_name":"Fairouz Kamareddine","orcid":null},"institutions":[{"id":"https://openalex.org/I32062511","display_name":"Heriot-Watt University","ror":"https://ror.org/04mghma93","country_code":"GB","type":"education","lineage":["https://openalex.org/I32062511"]}],"countries":["GB"],"is_corresponding":true,"raw_author_name":"Fairouz Kamareddine","raw_affiliation_strings":["School of Mathematical and Computer Sciences, Heriot-Watt University, Edinburgh, Scotland, UK"],"affiliations":[{"raw_affiliation_string":"School of Mathematical and Computer Sciences, Heriot-Watt University, Edinburgh, Scotland, UK","institution_ids":["https://openalex.org/I32062511"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5004006407","https://openalex.org/A5043206848","https://openalex.org/A5114253581"],"corresponding_institution_ids":["https://openalex.org/I150729083","https://openalex.org/I32062511"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.19830768,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"67","issue":null,"first_page":"76","last_page":"95"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10126","display_name":"Logic, programming, and type systems","score":1.0,"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":1.0,"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/T10142","display_name":"Formal Methods in Verification","score":0.9955999851226807,"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/unification","display_name":"Unification","score":0.689622700214386},{"id":"https://openalex.org/keywords/functional-programming","display_name":"Functional programming","score":0.5961059927940369},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.5816551446914673},{"id":"https://openalex.org/keywords/reduction","display_name":"Reduction (mathematics)","score":0.49473831057548523},{"id":"https://openalex.org/keywords/substitution","display_name":"Substitution (logic)","score":0.4740274250507355},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4654202163219452},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.43160173296928406},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4274020791053772},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.3325830101966858},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.15965798497200012}],"concepts":[{"id":"https://openalex.org/C96146094","wikidata":"https://www.wikidata.org/wiki/Q609057","display_name":"Unification","level":2,"score":0.689622700214386},{"id":"https://openalex.org/C42383842","wikidata":"https://www.wikidata.org/wiki/Q193076","display_name":"Functional programming","level":2,"score":0.5961059927940369},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.5816551446914673},{"id":"https://openalex.org/C111335779","wikidata":"https://www.wikidata.org/wiki/Q3454686","display_name":"Reduction (mathematics)","level":2,"score":0.49473831057548523},{"id":"https://openalex.org/C2778220771","wikidata":"https://www.wikidata.org/wiki/Q1522579","display_name":"Substitution (logic)","level":2,"score":0.4740274250507355},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4654202163219452},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.43160173296928406},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4274020791053772},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3325830101966858},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.15965798497200012},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","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/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/s1571-0661(04)80542-5","is_oa":true,"landing_page_url":"https://doi.org/10.1016/s1571-0661(04)80542-5","pdf_url":null,"source":{"id":"https://openalex.org/S50368787","display_name":"Electronic Notes in Theoretical Computer Science","issn_l":"1571-0661","issn":["1571-0661"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Electronic Notes in Theoretical Computer Science","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1016/s1571-0661(04)80542-5","is_oa":true,"landing_page_url":"https://doi.org/10.1016/s1571-0661(04)80542-5","pdf_url":null,"source":{"id":"https://openalex.org/S50368787","display_name":"Electronic Notes in Theoretical Computer Science","issn_l":"1571-0661","issn":["1571-0661"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Electronic Notes in Theoretical Computer Science","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":33,"referenced_works":["https://openalex.org/W61439854","https://openalex.org/W65564231","https://openalex.org/W572014079","https://openalex.org/W621067427","https://openalex.org/W1524759155","https://openalex.org/W1536318110","https://openalex.org/W1578914958","https://openalex.org/W1583295953","https://openalex.org/W1589690886","https://openalex.org/W1988146389","https://openalex.org/W1992452788","https://openalex.org/W2017143801","https://openalex.org/W2032463140","https://openalex.org/W2040894779","https://openalex.org/W2062658741","https://openalex.org/W2067024462","https://openalex.org/W2083014191","https://openalex.org/W2109703800","https://openalex.org/W2118420900","https://openalex.org/W2132119724","https://openalex.org/W2148143203","https://openalex.org/W2151872924","https://openalex.org/W2155411851","https://openalex.org/W2160740215","https://openalex.org/W2165308367","https://openalex.org/W2177713036","https://openalex.org/W2568721247","https://openalex.org/W2570126653","https://openalex.org/W2623878595","https://openalex.org/W2793825941","https://openalex.org/W4236324644","https://openalex.org/W6634594735","https://openalex.org/W6731518849"],"related_works":["https://openalex.org/W2367630557","https://openalex.org/W101666983","https://openalex.org/W2183792531","https://openalex.org/W2595286499","https://openalex.org/W2616882931","https://openalex.org/W2471908688","https://openalex.org/W1845283042","https://openalex.org/W2115512867","https://openalex.org/W2379444625","https://openalex.org/W4231718283"],"abstract_inverted_index":{"The":[0],"past":[1],"decade":[2],"has":[3,16],"seen":[4],"an":[5,84],"explosion":[6],"of":[7,11,20,29,41,74,95,106],"work":[8,15],"on":[9],"calculi":[10,22],"explicit":[12,42],"substitutions.":[13],"Numerous":[14],"illustrated":[17],"the":[18,27,49,52,67,72,75,80,96,104,107,123,135],"usefulness":[19],"these":[21],"for":[23,58],"practical":[24,60],"notions":[25],"like":[26,62],"implementation":[28,73],"typed":[30],"functional":[31],"programming":[32],"languages":[33],"and":[34,51,66,93,100,116,122],"higher":[35,63],"order":[36,64],"proof":[37],"assistants.":[38],"Three":[39],"styles":[40],"substitutions":[43],"are":[44,126],"treated":[45],"in":[46],"this":[47],"paper:":[48],"\u03bb\u03c3":[50,115,121],"\u03bbse":[53,117,130],"which":[54,87],"have":[55],"proved":[56],"useful":[57],"solving":[59],"problems":[61],"unification,":[65],"suspension":[68,81,124,136],"calculus":[69,82,99,125],"related":[70],"to":[71,90,101,103],"language":[76],"\u03bb-Prolog.":[77],"We":[78],"enlarge":[79],"with":[83],"adequate":[85,133],"eta-reduction":[86],"we":[88,112],"show":[89],"preserve":[91],"termination":[92],"confluence":[94],"associated":[97],"substitution":[98],"correspond":[102],"eta-reductions":[105],"other":[108],"two":[109],"calculi.":[110],"Additionally,":[111],"prove":[113],"that":[114],"as":[118,120],"well":[119],"non":[127],"comparable":[128],"while":[129],"is":[131],"more":[132],"than":[134],"calculus.":[137]},"counts_by_year":[{"year":2023,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
