{"id":"https://openalex.org/W1997707012","doi":"https://doi.org/10.3166/jancl.16.119-150","title":"SUBSEXPL: a tool for simulating and comparing explicit substitutions calculi \u2605","display_name":"SUBSEXPL: a tool for simulating and comparing explicit substitutions calculi \u2605","publication_year":2006,"publication_date":"2006-01-01","ids":{"openalex":"https://openalex.org/W1997707012","doi":"https://doi.org/10.3166/jancl.16.119-150","mag":"1997707012"},"language":"en","primary_location":{"id":"doi:10.3166/jancl.16.119-150","is_oa":false,"landing_page_url":"https://doi.org/10.3166/jancl.16.119-150","pdf_url":null,"source":{"id":"https://openalex.org/S93822064","display_name":"Journal of Applied Non-Classical Logics","issn_l":"1166-3081","issn":["1166-3081","1958-5780"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Non-Classical Logics","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/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":"F. L. C. de Moura","raw_affiliation_strings":["a   Departamento de Matem\u00e1tica , Universidade de Bras\u00edlia ,  70900-910 ,  Bras\u00edlia D.F. ,  Brasil"],"affiliations":[{"raw_affiliation_string":"a   Departamento de Matem\u00e1tica , Universidade de Bras\u00edlia ,  70900-910 ,  Bras\u00edlia D.F. ,  Brasil","institution_ids":["https://openalex.org/I150729083"]}]},{"author_position":"middle","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":false,"raw_author_name":"M. Ayala-Rinc\u00f3n","raw_affiliation_strings":["a   Departamento de Matem\u00e1tica , Universidade de Bras\u00edlia ,  70900-910 ,  Bras\u00edlia D.F. ,  Brasil"],"affiliations":[{"raw_affiliation_string":"a   Departamento de Matem\u00e1tica , Universidade de Bras\u00edlia ,  70900-910 ,  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":false,"raw_author_name":"F. Kamareddine","raw_affiliation_strings":["b   School of Mathematical and Computer Sciences , Heriot-Watt University ,  Edinburgh ,  EH14 4AS ,  Scotland","School of Mathematical and Computer Sciences , Heriot-Watt University , Edinburgh , EH14 4AS , Scotland"],"affiliations":[{"raw_affiliation_string":"b   School of Mathematical and Computer Sciences , Heriot-Watt University ,  Edinburgh ,  EH14 4AS ,  Scotland","institution_ids":["https://openalex.org/I32062511"]},{"raw_affiliation_string":"School of Mathematical and Computer Sciences , Heriot-Watt University , Edinburgh , EH14 4AS , Scotland","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5004006407"],"corresponding_institution_ids":["https://openalex.org/I150729083"],"apc_list":null,"apc_paid":null,"fwci":0.4657,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.73257453,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"16","issue":"1-2","first_page":"119","last_page":"150"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10126","display_name":"Logic, programming, and type systems","score":0.9998000264167786,"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":0.9998000264167786,"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/T13523","display_name":"Mathematics, Computing, and Information Processing","score":0.9868999719619751,"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":0.9779000282287598,"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/de-bruijn-sequence","display_name":"De Bruijn sequence","score":0.7373493313789368},{"id":"https://openalex.org/keywords/notation","display_name":"Notation","score":0.6141526699066162},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5561834573745728},{"id":"https://openalex.org/keywords/normalization","display_name":"Normalization (sociology)","score":0.5187637805938721},{"id":"https://openalex.org/keywords/modular-design","display_name":"Modular design","score":0.4807550609111786},{"id":"https://openalex.org/keywords/implementation","display_name":"Implementation","score":0.4633652865886688},{"id":"https://openalex.org/keywords/substitution","display_name":"Substitution (logic)","score":0.4451024532318115},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.37362605333328247},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3612877428531647},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.3478005528450012},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.32969558238983154},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.31029564142227173},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.29668331146240234},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.23846516013145447},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.20745939016342163},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.13983085751533508}],"concepts":[{"id":"https://openalex.org/C170320093","wikidata":"https://www.wikidata.org/wiki/Q1953457","display_name":"De Bruijn sequence","level":2,"score":0.7373493313789368},{"id":"https://openalex.org/C45357846","wikidata":"https://www.wikidata.org/wiki/Q2001982","display_name":"Notation","level":2,"score":0.6141526699066162},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5561834573745728},{"id":"https://openalex.org/C136886441","wikidata":"https://www.wikidata.org/wiki/Q926129","display_name":"Normalization (sociology)","level":2,"score":0.5187637805938721},{"id":"https://openalex.org/C101468663","wikidata":"https://www.wikidata.org/wiki/Q1620158","display_name":"Modular design","level":2,"score":0.4807550609111786},{"id":"https://openalex.org/C26713055","wikidata":"https://www.wikidata.org/wiki/Q245962","display_name":"Implementation","level":2,"score":0.4633652865886688},{"id":"https://openalex.org/C2778220771","wikidata":"https://www.wikidata.org/wiki/Q1522579","display_name":"Substitution (logic)","level":2,"score":0.4451024532318115},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.37362605333328247},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3612877428531647},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.3478005528450012},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.32969558238983154},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.31029564142227173},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.29668331146240234},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.23846516013145447},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.20745939016342163},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.13983085751533508},{"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},{"id":"https://openalex.org/C144024400","wikidata":"https://www.wikidata.org/wiki/Q21201","display_name":"Sociology","level":0,"score":0.0},{"id":"https://openalex.org/C19165224","wikidata":"https://www.wikidata.org/wiki/Q23404","display_name":"Anthropology","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.3166/jancl.16.119-150","is_oa":false,"landing_page_url":"https://doi.org/10.3166/jancl.16.119-150","pdf_url":null,"source":{"id":"https://openalex.org/S93822064","display_name":"Journal of Applied Non-Classical Logics","issn_l":"1166-3081","issn":["1166-3081","1958-5780"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Non-Classical Logics","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.297.9571","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.297.9571","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.cedar-forest.org/forest/papers/conference-publications/subsexpl.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.543.9682","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.543.9682","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.cic.unb.br/~flavio/Download/iwil2004.pdf","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":27,"referenced_works":["https://openalex.org/W1488897269","https://openalex.org/W1517976144","https://openalex.org/W1545729745","https://openalex.org/W1560809858","https://openalex.org/W1567658240","https://openalex.org/W1579914362","https://openalex.org/W1583295953","https://openalex.org/W1589690886","https://openalex.org/W1973000567","https://openalex.org/W2017143801","https://openalex.org/W2023051485","https://openalex.org/W2032463140","https://openalex.org/W2040894779","https://openalex.org/W2042924298","https://openalex.org/W2062658741","https://openalex.org/W2067024462","https://openalex.org/W2092768924","https://openalex.org/W2103406007","https://openalex.org/W2118420900","https://openalex.org/W2132119724","https://openalex.org/W2155411851","https://openalex.org/W2163608626","https://openalex.org/W2568721247","https://openalex.org/W2570126653","https://openalex.org/W2912255765","https://openalex.org/W4230919050","https://openalex.org/W4236324644"],"related_works":["https://openalex.org/W3198016531","https://openalex.org/W127787461","https://openalex.org/W2039773446","https://openalex.org/W1998517951","https://openalex.org/W2126473010","https://openalex.org/W2397939707","https://openalex.org/W2382005989","https://openalex.org/W2558656005","https://openalex.org/W2294690109","https://openalex.org/W2013126362"],"abstract_inverted_index":{"We":[0],"present":[1],"the":[2,16,21,31,33,36,42,58,74,84,87,90,93,111,150,162,174,185,216,232,238],"system":[3,14,75,85,155,193],"SUBSEXPL":[4],"used":[5,226],"for":[6,47,62,136,199,208,227],"simulating":[7],"and":[8,23,35,99,133,141,147,171,244],"comparing":[9,201],"explicit":[10,29,66,175,202,212,247],"substitutions":[11,67,176,203,213,248],"calculi.":[12,114],"The":[13,81,154,192],"allows":[15,46],"manipulation":[17],"of":[18,20,24,28,41,49,51,57,83,89,92,100,110,173,187,196,211,218,231,240,245],"expressions":[19],"\u03bb-calculus":[22,94,151,233],"three":[25],"different":[26],"styles":[27],"substitutions:":[30],"\u03bb\u03c3,":[32],"\u03bbse":[34],"suspension":[37,43],"calculus.":[38],"A":[39],"variation":[40],"calculus,":[44],"which":[45],"combination":[48],"steps":[50],"\u03b2-contraction":[52],"is":[53],"included":[54],"too.":[55],"Implementations":[56],"\u03b7-reduction":[59],"are":[60,118,152,178],"provided":[61],"each":[63,109],"style.":[64],"Other":[65],"calculi":[68,177],"can":[69,121,130,156],"be":[70,122,131,157],"easily":[71,123],"incorporated":[72],"into":[73],"due":[76],"to":[77],"its":[78,181],"modular":[79],"structure.":[80],"uses":[82],"include:":[86],"visualization":[88],"contractions":[91],"in":[95,149,165,180,249],"de":[96,241],"Bruijn":[97],"notation,":[98],"guided":[101],"one-step":[102],"reductions":[103,120],"as":[104,106,125,145,205,207,215],"well":[105,206],"normalization":[107],"via":[108],"associated":[112],"substitution":[113],"Many":[115],"useful":[116],"facilities":[117],"included:":[119],"recorded":[124],"text":[126],"files,":[127],"LATEX":[128,190],"outputs":[129],"generated":[132],"several":[134],"examples":[135],"dealing":[137],"with":[138],"arithmetic":[139],"operations":[140],"computational":[142,236],"operators":[143],"such":[144,166,214,234],"conditionals":[146],"repetitions":[148],"available.":[153],"executed":[158],"over":[159],"Emacs":[160],"using":[161],"x-symbol":[163],"mode":[164],"a":[167],"way":[168],"that":[169],"\u03bb-terms":[170],"terms":[172],"represented":[179],"natural":[182],"syntax":[183],"avoiding":[184],"necessity":[186],"repeatedly":[188],"generating":[189],"outputs.":[191],"has":[194,224],"been":[195,225],"great":[197],"help":[198],"systematically":[200],"calculi,":[204],"understanding":[209],"properties":[210,230],"Preservation":[217],"Strong":[219],"Normalization.":[220],"In":[221],"addition,":[222],"it":[223],"teaching":[228],"basic":[229],"as:":[235],"adequacy,":[237],"usefulness":[239],"Bruijn's":[242],"notation":[243],"making":[246],"real":[250],"implementations.":[251]},"counts_by_year":[],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}
