{"id":"https://openalex.org/W3160798129","doi":"https://doi.org/10.1017/s0960129521000050","title":"Formalising nominal C-unification generalised with protected variables","display_name":"Formalising nominal C-unification generalised with protected variables","publication_year":2021,"publication_date":"2021-03-01","ids":{"openalex":"https://openalex.org/W3160798129","doi":"https://doi.org/10.1017/s0960129521000050","mag":"3160798129"},"language":"en","primary_location":{"id":"doi:10.1017/s0960129521000050","is_oa":false,"landing_page_url":"https://doi.org/10.1017/s0960129521000050","pdf_url":null,"source":{"id":"https://openalex.org/S101766102","display_name":"Mathematical Structures in Computer Science","issn_l":"0960-1295","issn":["0960-1295","1469-8072"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311721","host_organization_name":"Cambridge University Press","host_organization_lineage":["https://openalex.org/P4310311721","https://openalex.org/P4310311702"],"host_organization_lineage_names":["Cambridge University Press","University of Cambridge"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematical Structures in Computer Science","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/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":["Computer Science, University of Bras\u00edlia (UnB), Brasilia, Brazil","Departments of Mathematics, University of Bras\u00edlia (UnB), Brasilia, Brazil","Departments of Mathematics, University of Bras\u00edlia (UnB), Brasilia, Brazil,"],"raw_orcid":"https://orcid.org/0000-0003-0089-3905","affiliations":[{"raw_affiliation_string":"Computer Science, University of Bras\u00edlia (UnB), Brasilia, Brazil","institution_ids":["https://openalex.org/I150729083"]},{"raw_affiliation_string":"Departments of Mathematics, University of Bras\u00edlia (UnB), Brasilia, Brazil","institution_ids":["https://openalex.org/I150729083"]},{"raw_affiliation_string":"Departments of Mathematics, University of Bras\u00edlia (UnB), Brasilia, Brazil,","institution_ids":["https://openalex.org/I150729083"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5048353981","display_name":"Washington Lu\u00eds Ribeiro de Carvalho Segundo","orcid":"https://orcid.org/0000-0003-3635-9384"},"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":"Washington de Carvalho-Segundo","raw_affiliation_strings":["Computer Science, University of Bras\u00edlia (UnB), Brasilia, Brazil"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Computer Science, University of Bras\u00edlia (UnB), Brasilia, Brazil","institution_ids":["https://openalex.org/I150729083"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5072769917","display_name":"Maribel Fern\u00e1ndez","orcid":"https://orcid.org/0000-0001-8325-5815"},"institutions":[{"id":"https://openalex.org/I183935753","display_name":"King's College London","ror":"https://ror.org/0220mzb33","country_code":"GB","type":"education","lineage":["https://openalex.org/I124357947","https://openalex.org/I183935753"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Maribel Fern\u00e1ndez","raw_affiliation_strings":["Department of Informatics, King\u2019s College London, LondonWC2R 2LS, UK"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Informatics, King\u2019s College London, LondonWC2R 2LS, UK","institution_ids":["https://openalex.org/I183935753"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5088811365","display_name":"Gabriel Ferreira Silva","orcid":"https://orcid.org/0000-0003-1679-3597"},"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":"Gabriel Ferreira Silva","raw_affiliation_strings":["Computer Science, University of Bras\u00edlia (UnB), Brasilia, Brazil"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Computer Science, University of Bras\u00edlia (UnB), Brasilia, Brazil","institution_ids":["https://openalex.org/I150729083"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5002326512","display_name":"Daniele Nantes-Sobrinho","orcid":"https://orcid.org/0000-0002-1959-8730"},"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":"Daniele Nantes-Sobrinho","raw_affiliation_strings":["Departments of Mathematics, University of Bras\u00edlia (UnB), Brasilia, Brazil","Departments of Mathematics, University of Bras\u00edlia (UnB), Brasilia, Brazil,"],"raw_orcid":"https://orcid.org/0000-0002-1959-8730","affiliations":[{"raw_affiliation_string":"Departments of Mathematics, University of Bras\u00edlia (UnB), Brasilia, Brazil","institution_ids":["https://openalex.org/I150729083"]},{"raw_affiliation_string":"Departments of Mathematics, University of Bras\u00edlia (UnB), Brasilia, Brazil,","institution_ids":["https://openalex.org/I150729083"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5043206848"],"corresponding_institution_ids":["https://openalex.org/I150729083"],"apc_list":null,"apc_paid":null,"fwci":0.5597,"has_fulltext":false,"cited_by_count":14,"citation_normalized_percentile":{"value":0.72570598,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":99},"biblio":{"volume":"31","issue":"3","first_page":"286","last_page":"311"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10126","display_name":"Logic, programming, and type systems","score":0.9993000030517578,"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":0.9993000030517578,"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/T10181","display_name":"Natural Language Processing Techniques","score":0.9987999796867371,"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":0.9987000226974487,"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/unification","display_name":"Unification","score":0.9029471278190613},{"id":"https://openalex.org/keywords/correctness","display_name":"Correctness","score":0.7108688354492188},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6599599123001099},{"id":"https://openalex.org/keywords/reuse","display_name":"Reuse","score":0.5995299816131592},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.5339751243591309},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5065904855728149},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.38280388712882996}],"concepts":[{"id":"https://openalex.org/C96146094","wikidata":"https://www.wikidata.org/wiki/Q609057","display_name":"Unification","level":2,"score":0.9029471278190613},{"id":"https://openalex.org/C55439883","wikidata":"https://www.wikidata.org/wiki/Q360812","display_name":"Correctness","level":2,"score":0.7108688354492188},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6599599123001099},{"id":"https://openalex.org/C206588197","wikidata":"https://www.wikidata.org/wiki/Q846574","display_name":"Reuse","level":2,"score":0.5995299816131592},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.5339751243591309},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5065904855728149},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.38280388712882996},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1017/s0960129521000050","is_oa":false,"landing_page_url":"https://doi.org/10.1017/s0960129521000050","pdf_url":null,"source":{"id":"https://openalex.org/S101766102","display_name":"Mathematical Structures in Computer Science","issn_l":"0960-1295","issn":["0960-1295","1469-8072"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311721","host_organization_name":"Cambridge University Press","host_organization_lineage":["https://openalex.org/P4310311721","https://openalex.org/P4310311702"],"host_organization_lineage_names":["Cambridge University Press","University of Cambridge"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematical Structures in Computer Science","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/16","score":0.47999998927116394,"display_name":"Peace, Justice and strong institutions"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":31,"referenced_works":["https://openalex.org/W174305618","https://openalex.org/W1481023204","https://openalex.org/W1484491875","https://openalex.org/W1589346249","https://openalex.org/W1805897518","https://openalex.org/W1863201158","https://openalex.org/W2012270428","https://openalex.org/W2016251012","https://openalex.org/W2052280100","https://openalex.org/W2055611812","https://openalex.org/W2070687667","https://openalex.org/W2078476977","https://openalex.org/W2082354652","https://openalex.org/W2115857898","https://openalex.org/W2472676800","https://openalex.org/W2511722588","https://openalex.org/W2745493104","https://openalex.org/W2886708969","https://openalex.org/W2911271085","https://openalex.org/W2911838076","https://openalex.org/W2912255765","https://openalex.org/W2914314632","https://openalex.org/W2919417915","https://openalex.org/W2964141923","https://openalex.org/W2969292305","https://openalex.org/W3020665690","https://openalex.org/W3022449549","https://openalex.org/W6607072596","https://openalex.org/W6638457173","https://openalex.org/W6670307397","https://openalex.org/W6725472557"],"related_works":["https://openalex.org/W2367630557","https://openalex.org/W3008339103","https://openalex.org/W2404647514","https://openalex.org/W1667647204","https://openalex.org/W2183792531","https://openalex.org/W2595286499","https://openalex.org/W3119814709","https://openalex.org/W4231718283","https://openalex.org/W2018477250","https://openalex.org/W1604988569"],"abstract_inverted_index":{"Abstract":[0],"This":[1,77],"work":[2],"extends":[3],"a":[4,60,101,137],"rule-based":[5],"specification":[6,89],"of":[7,52,73,90,120,136,141],"nominal":[8,40,104,121,124],"C-unification":[9,35,62,105],"formalised":[10],"in":[11,84,108],"Coq":[12],"to":[13,32,38,58,86,117,132],"include":[14],"\u2018protected":[15],"variables\u2019":[16],"that":[17],"cannot":[18,66],"be":[19,67],"instantiated":[20],"during":[21],"the":[22,34,49,74,80,88,91,118,134,142],"unification":[23],"process.":[24],"By":[25],"introducing":[26],"protected":[27,111],"variables,":[28,112],"we":[29],"are":[30],"able":[31],"reuse":[33,72,95],"simplification":[36],"rules":[37,93],"solve":[39],"C-matching":[41,122],"(as":[42],"well":[43],"as":[44],"equality":[45,125],"check)":[46],"problems.":[47],"From":[48],"algorithmic":[50],"point":[51],"view,":[53],"this":[54,115],"extension":[55],"is":[56,130],"sufficient":[57],"obtain":[59],"generalised":[61],"procedure;":[63],"however,":[64],"it":[65],"formally":[68],"checked":[69],"by":[70],"simple":[71],"original":[75],"formalisation.":[76],"paper":[78],"describes":[79],"additional":[81],"effort":[82],"necessary":[83],"order":[85],"adapt":[87],"inference":[92],"and":[94,123],"previous":[96],"formalisations.":[97],"We":[98],"also":[99],"generalise":[100],"functional":[102],"recursive":[103],"algorithm":[106,116],"specified":[107],"PVS":[109,128],"with":[110],"effectively":[113],"adapting":[114],"tasks":[119],"check.":[126],"The":[127],"formalisation":[129],"applied":[131],"test":[133],"correctness":[135],"Python":[138],"manual":[139],"implementation":[140],"algorithm.":[143]},"counts_by_year":[{"year":2025,"cited_by_count":10},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":2}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
