{"id":"https://openalex.org/W4386968098","doi":"https://doi.org/10.4204/eptcs.389.7","title":"A Formalized Extension of the Substitution Lemma in Coq","display_name":"A Formalized Extension of the Substitution Lemma in Coq","publication_year":2023,"publication_date":"2023-09-22","ids":{"openalex":"https://openalex.org/W4386968098","doi":"https://doi.org/10.4204/eptcs.389.7"},"language":"en","primary_location":{"id":"doi:10.4204/eptcs.389.7","is_oa":true,"landing_page_url":"http://dx.doi.org/10.4204/eptcs.389.7","pdf_url":"https://arxiv.org/pdf/2309.13801","source":{"id":"https://openalex.org/S4210216316","display_name":"Electronic Proceedings in Theoretical Computer Science","issn_l":"2075-2180","issn":["2075-2180"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310318029","host_organization_name":"Open Publishing Association","host_organization_lineage":["https://openalex.org/P4310318029"],"host_organization_lineage_names":["Open Publishing Association"],"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 Proceedings in Theoretical Computer Science","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://arxiv.org/pdf/2309.13801","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5081837157","display_name":"Maria Jos\u00e9 de Oliveira Lima","orcid":"https://orcid.org/0000-0002-2561-8929"},"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"]},{"id":"https://openalex.org/I4210131964","display_name":"Universitas Nusa Bangsa","ror":"https://ror.org/03n5w2v49","country_code":"ID","type":"education","lineage":["https://openalex.org/I4210131964"]}],"countries":["BR","ID"],"is_corresponding":false,"raw_author_name":"Maria J. D. Lima","raw_affiliation_strings":["UnB","Departamento de Ci\u00eancia da Computa\u00e7\u00e3o Universidade de Bras\u00edlia, Bras\u00edlia, Brazil"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"UnB","institution_ids":["https://openalex.org/I4210131964"]},{"raw_affiliation_string":"Departamento de Ci\u00eancia da Computa\u00e7\u00e3o Universidade de Bras\u00edlia, Bras\u00edlia, Brazil","institution_ids":["https://openalex.org/I150729083"]}]},{"author_position":"last","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"]},{"id":"https://openalex.org/I4210131964","display_name":"Universitas Nusa Bangsa","ror":"https://ror.org/03n5w2v49","country_code":"ID","type":"education","lineage":["https://openalex.org/I4210131964"]}],"countries":["BR","ID"],"is_corresponding":false,"raw_author_name":"Fl\u00e1vio L. C. de Moura","raw_affiliation_strings":["UnB","Departamento de Ci\u00eancia da Computa\u00e7\u00e3o Universidade de Bras\u00edlia, Bras\u00edlia, Brazil"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"UnB","institution_ids":["https://openalex.org/I4210131964"]},{"raw_affiliation_string":"Departamento de Ci\u00eancia da Computa\u00e7\u00e3o Universidade de Bras\u00edlia, Bras\u00edlia, Brazil","institution_ids":["https://openalex.org/I150729083"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.11891246,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"389","issue":null,"first_page":"80","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":0.9998999834060669,"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":0.9998999834060669,"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":0.9922999739646912,"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/T10215","display_name":"Semantic Web and Ontologies","score":0.9815000295639038,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/substitution","display_name":"Substitution (logic)","score":0.8610608577728271},{"id":"https://openalex.org/keywords/lemma","display_name":"Lemma (botany)","score":0.7935392260551453},{"id":"https://openalex.org/keywords/equivalence","display_name":"Equivalence (formal languages)","score":0.6550154089927673},{"id":"https://openalex.org/keywords/mathematical-proof","display_name":"Mathematical proof","score":0.6091695427894592},{"id":"https://openalex.org/keywords/extension","display_name":"Extension (predicate logic)","score":0.5115557312965393},{"id":"https://openalex.org/keywords/lambda-calculus","display_name":"Lambda calculus","score":0.49530044198036194},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.4841662049293518},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.47335314750671387},{"id":"https://openalex.org/keywords/grammar","display_name":"Grammar","score":0.4542343020439148},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.4376333951950073},{"id":"https://openalex.org/keywords/proof-assistant","display_name":"Proof assistant","score":0.4161854684352875},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.37578925490379333},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.3137320280075073},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.2952779531478882},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.19702014327049255},{"id":"https://openalex.org/keywords/linguistics","display_name":"Linguistics","score":0.07267862558364868}],"concepts":[{"id":"https://openalex.org/C2778220771","wikidata":"https://www.wikidata.org/wiki/Q1522579","display_name":"Substitution (logic)","level":2,"score":0.8610608577728271},{"id":"https://openalex.org/C2777759810","wikidata":"https://www.wikidata.org/wiki/Q149316","display_name":"Lemma (botany)","level":3,"score":0.7935392260551453},{"id":"https://openalex.org/C2780069185","wikidata":"https://www.wikidata.org/wiki/Q7977945","display_name":"Equivalence (formal languages)","level":2,"score":0.6550154089927673},{"id":"https://openalex.org/C108710211","wikidata":"https://www.wikidata.org/wiki/Q11538","display_name":"Mathematical proof","level":2,"score":0.6091695427894592},{"id":"https://openalex.org/C2778029271","wikidata":"https://www.wikidata.org/wiki/Q5421931","display_name":"Extension (predicate logic)","level":2,"score":0.5115557312965393},{"id":"https://openalex.org/C135790938","wikidata":"https://www.wikidata.org/wiki/Q242028","display_name":"Lambda calculus","level":2,"score":0.49530044198036194},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.4841662049293518},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.47335314750671387},{"id":"https://openalex.org/C26022165","wikidata":"https://www.wikidata.org/wiki/Q8091","display_name":"Grammar","level":2,"score":0.4542343020439148},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.4376333951950073},{"id":"https://openalex.org/C203265346","wikidata":"https://www.wikidata.org/wiki/Q11387554","display_name":"Proof assistant","level":3,"score":0.4161854684352875},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.37578925490379333},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.3137320280075073},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.2952779531478882},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.19702014327049255},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.07267862558364868},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","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/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C46757340","wikidata":"https://www.wikidata.org/wiki/Q43238","display_name":"Poaceae","level":2,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","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":2,"locations":[{"id":"doi:10.4204/eptcs.389.7","is_oa":true,"landing_page_url":"http://dx.doi.org/10.4204/eptcs.389.7","pdf_url":"https://arxiv.org/pdf/2309.13801","source":{"id":"https://openalex.org/S4210216316","display_name":"Electronic Proceedings in Theoretical Computer Science","issn_l":"2075-2180","issn":["2075-2180"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310318029","host_organization_name":"Open Publishing Association","host_organization_lineage":["https://openalex.org/P4310318029"],"host_organization_lineage_names":["Open Publishing Association"],"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 Proceedings in Theoretical Computer Science","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:2309.13801","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2309.13801","pdf_url":"https://arxiv.org/pdf/2309.13801","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"}],"best_oa_location":{"id":"doi:10.4204/eptcs.389.7","is_oa":true,"landing_page_url":"http://dx.doi.org/10.4204/eptcs.389.7","pdf_url":"https://arxiv.org/pdf/2309.13801","source":{"id":"https://openalex.org/S4210216316","display_name":"Electronic Proceedings in Theoretical Computer Science","issn_l":"2075-2180","issn":["2075-2180"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310318029","host_organization_name":"Open Publishing Association","host_organization_lineage":["https://openalex.org/P4310318029"],"host_organization_lineage_names":["Open Publishing Association"],"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 Proceedings in Theoretical Computer Science","raw_type":"journal-article"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/2","score":0.550000011920929,"display_name":"Zero hunger"}],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4386968098.pdf","grobid_xml":"https://content.openalex.org/works/W4386968098.grobid-xml"},"referenced_works_count":25,"referenced_works":["https://openalex.org/W1488897269","https://openalex.org/W1489649398","https://openalex.org/W1975082667","https://openalex.org/W1985126655","https://openalex.org/W1992452788","https://openalex.org/W2017143801","https://openalex.org/W2023051485","https://openalex.org/W2035625755","https://openalex.org/W2045801884","https://openalex.org/W2062658741","https://openalex.org/W2085041284","https://openalex.org/W2116671746","https://openalex.org/W2122197073","https://openalex.org/W2134776161","https://openalex.org/W2151872924","https://openalex.org/W2154273644","https://openalex.org/W2158532214","https://openalex.org/W2240853903","https://openalex.org/W2407924833","https://openalex.org/W2935704972","https://openalex.org/W3100920743","https://openalex.org/W4236324644","https://openalex.org/W4256442140","https://openalex.org/W4313855514","https://openalex.org/W4390603518"],"related_works":["https://openalex.org/W1998171255","https://openalex.org/W1819460135","https://openalex.org/W4295798319","https://openalex.org/W4221036368","https://openalex.org/W353523607","https://openalex.org/W3098927713","https://openalex.org/W1589866633","https://openalex.org/W2774311601","https://openalex.org/W3106543884","https://openalex.org/W4310272897"],"abstract_inverted_index":{"The":[0,91],"substitution":[1,34,60],"lemma":[2,61],"is":[3],"a":[4,79,84,101],"renowned":[5],"theorem":[6],"within":[7,97],"the":[8,15,19,27,38,59,71,88,98,109,115,118],"realm":[9],"of":[10,18,40,87,108,111,117],"lambda-calculus":[11],"theory":[12],"and":[13],"concerns":[14],"interactional":[16],"behaviour":[17],"metasubstitution":[20],"operation.":[21],"In":[22],"this":[23],"work,":[24],"we":[25],"augment":[26],"lambda-calculus's":[28],"grammar":[29,116],"with":[30,46],"an":[31,106],"uninterpreted":[32],"explicit":[33,47],"operator,":[35],"which":[36,82],"allows":[37],"use":[39],"our":[41,112],"framework":[42],"for":[43],"different":[44],"calculi":[45],"substitutions.":[48],"Our":[49,75],"primary":[50],"contribution":[51],"lies":[52],"in":[53,94],"verifying":[54],"that,":[55],"despite":[56],"these":[57],"modifications,":[58],"continues":[62],"to":[63,114],"remain":[64],"valid.":[65],"This":[66],"confirmation":[67],"was":[68],"achieved":[69],"using":[70],"Coq":[72],"proof":[73],"assistant.":[74],"formalization":[76],"methodology":[77],"employs":[78],"nominal":[80],"approach,":[81],"provides":[83],"direct":[85],"implementation":[86],"alpha-equivalence":[89],"concept.":[90],"strategy":[92],"involved":[93],"variable":[95],"renaming":[96],"proofs":[99],"presents":[100],"challenge,":[102],"specially":[103],"on":[104],"ensuring":[105],"exploration":[107],"implications":[110],"extension":[113],"lambda-calculus.":[119]},"counts_by_year":[],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}