{"id":"https://openalex.org/W2888357310","doi":"https://doi.org/10.1093/logcom/exz032","title":"Congruence-based proofs of the recognizability theorems for free many-sorted algebras","display_name":"Congruence-based proofs of the recognizability theorems for free many-sorted algebras","publication_year":2019,"publication_date":"2019-11-02","ids":{"openalex":"https://openalex.org/W2888357310","doi":"https://doi.org/10.1093/logcom/exz032","mag":"2888357310"},"language":"en","primary_location":{"id":"doi:10.1093/logcom/exz032","is_oa":false,"landing_page_url":"https://doi.org/10.1093/logcom/exz032","pdf_url":null,"source":{"id":"https://openalex.org/S47057106","display_name":"Journal of Logic and Computation","issn_l":"0955-792X","issn":["0955-792X","1465-363X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311648","host_organization_name":"Oxford University Press","host_organization_lineage":["https://openalex.org/P4310311648","https://openalex.org/P4310311647"],"host_organization_lineage_names":["Oxford University Press","University of Oxford"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Logic and Computation","raw_type":"journal-article"},"type":"preprint","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1808.08217","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5002867207","display_name":"Juan Climent Vidal","orcid":"https://orcid.org/0000-0003-2057-0548"},"institutions":[{"id":"https://openalex.org/I16097986","display_name":"Universitat de Val\u00e8ncia","ror":"https://ror.org/043nxc105","country_code":"ES","type":"education","lineage":["https://openalex.org/I16097986"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"J Climent Vidal","raw_affiliation_strings":["Departament de L\u00f2gica i Filosofia de la Ci\u00e8ncia, Universitat de Val\u00e8ncia, Av. Blasco Ib\u00e1\u00f1ez, 30-7a, 46010 Val\u00e8ncia, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Departament de L\u00f2gica i Filosofia de la Ci\u00e8ncia, Universitat de Val\u00e8ncia, Av. Blasco Ib\u00e1\u00f1ez, 30-7a, 46010 Val\u00e8ncia, Spain","institution_ids":["https://openalex.org/I16097986"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5087604907","display_name":"Enric Cosme Ll\u00f3pez","orcid":"https://orcid.org/0000-0001-8618-7328"},"institutions":[{"id":"https://openalex.org/I16097986","display_name":"Universitat de Val\u00e8ncia","ror":"https://ror.org/043nxc105","country_code":"ES","type":"education","lineage":["https://openalex.org/I16097986"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"E Cosme Ll\u00d3pez","raw_affiliation_strings":["Departament de Matem\u00e0tiques, Universitat de Val\u00e8ncia, Dr. Moliner, 50, 46100 Burjassot, Val\u00e8ncia, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Departament de Matem\u00e0tiques, Universitat de Val\u00e8ncia, Dr. Moliner, 50, 46100 Burjassot, Val\u00e8ncia, Spain","institution_ids":["https://openalex.org/I16097986"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":4151,"currency":"USD","value_usd":4151},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.0191005,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"30","issue":"2","first_page":"561","last_page":"633"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11567","display_name":"semigroups and automata theory","score":0.9998999834060669,"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/T11567","display_name":"semigroups and automata theory","score":0.9998999834060669,"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/T11727","display_name":"Advanced Algebra and Logic","score":0.9995999932289124,"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/T10126","display_name":"Logic, programming, and type systems","score":0.9990000128746033,"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/congruence","display_name":"Congruence (geometry)","score":0.8661816120147705},{"id":"https://openalex.org/keywords/mathematical-proof","display_name":"Mathematical proof","score":0.8532363176345825},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.632253110408783},{"id":"https://openalex.org/keywords/tree-automaton","display_name":"Tree automaton","score":0.5581520199775696},{"id":"https://openalex.org/keywords/tree","display_name":"Tree (set theory)","score":0.5536707043647766},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.4763205945491791},{"id":"https://openalex.org/keywords/automaton","display_name":"Automaton","score":0.45833733677864075},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4232659637928009},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.4139534533023834},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.2994229793548584},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.2904837727546692},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2556050419807434},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.16161540150642395}],"concepts":[{"id":"https://openalex.org/C132074034","wikidata":"https://www.wikidata.org/wiki/Q154210","display_name":"Congruence (geometry)","level":2,"score":0.8661816120147705},{"id":"https://openalex.org/C108710211","wikidata":"https://www.wikidata.org/wiki/Q11538","display_name":"Mathematical proof","level":2,"score":0.8532363176345825},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.632253110408783},{"id":"https://openalex.org/C2778583254","wikidata":"https://www.wikidata.org/wiki/Q2872598","display_name":"Tree automaton","level":3,"score":0.5581520199775696},{"id":"https://openalex.org/C113174947","wikidata":"https://www.wikidata.org/wiki/Q2859736","display_name":"Tree (set theory)","level":2,"score":0.5536707043647766},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.4763205945491791},{"id":"https://openalex.org/C112505250","wikidata":"https://www.wikidata.org/wiki/Q787116","display_name":"Automaton","level":2,"score":0.45833733677864075},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4232659637928009},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.4139534533023834},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.2994229793548584},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.2904837727546692},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2556050419807434},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.16161540150642395},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1093/logcom/exz032","is_oa":false,"landing_page_url":"https://doi.org/10.1093/logcom/exz032","pdf_url":null,"source":{"id":"https://openalex.org/S47057106","display_name":"Journal of Logic and Computation","issn_l":"0955-792X","issn":["0955-792X","1465-363X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311648","host_organization_name":"Oxford University Press","host_organization_lineage":["https://openalex.org/P4310311648","https://openalex.org/P4310311647"],"host_organization_lineage_names":["Oxford University Press","University of Oxford"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Logic and Computation","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1808.08217","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1808.08217","pdf_url":"https://arxiv.org/pdf/1808.08217","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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"mag:2888357310","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/1808.08217v1","pdf_url":null,"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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},{"id":"doi:10.48550/arxiv.1808.08217","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1808.08217","pdf_url":null,"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":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article-journal"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1808.08217","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1808.08217","pdf_url":"https://arxiv.org/pdf/1808.08217","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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[{"score":0.4099999964237213,"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10"}],"awards":[{"id":"https://openalex.org/G3233493433","display_name":null,"funder_award_id":"PGC2018-095140-B-I00","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"}],"funders":[{"id":"https://openalex.org/F4320315062","display_name":"Ministerio de Ciencia, Innovaci\u00f3n y Universidades","ror":null},{"id":"https://openalex.org/F4320320300","display_name":"European Commission","ror":"https://ror.org/00k4n6c32"},{"id":"https://openalex.org/F4320335322","display_name":"European Regional Development Fund","ror":"https://ror.org/00k4n6c32"},{"id":"https://openalex.org/F4320335598","display_name":"Agencia Estatal de Investigaci\u00f3n","ror":null}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":49,"referenced_works":["https://openalex.org/W227694331","https://openalex.org/W361203971","https://openalex.org/W984440545","https://openalex.org/W1016072256","https://openalex.org/W1479972615","https://openalex.org/W1488258849","https://openalex.org/W1503860275","https://openalex.org/W1523977407","https://openalex.org/W1546126118","https://openalex.org/W1823163556","https://openalex.org/W1841655084","https://openalex.org/W1971953005","https://openalex.org/W1984256985","https://openalex.org/W1992205482","https://openalex.org/W2002095943","https://openalex.org/W2023227558","https://openalex.org/W2023648368","https://openalex.org/W2035020702","https://openalex.org/W2046933493","https://openalex.org/W2050407768","https://openalex.org/W2054801208","https://openalex.org/W2060329843","https://openalex.org/W2062341323","https://openalex.org/W2073663206","https://openalex.org/W2076900104","https://openalex.org/W2077359248","https://openalex.org/W2088432971","https://openalex.org/W2120713972","https://openalex.org/W2202299834","https://openalex.org/W2249580873","https://openalex.org/W2258595992","https://openalex.org/W2315064349","https://openalex.org/W2336265859","https://openalex.org/W2603558311","https://openalex.org/W2911295106","https://openalex.org/W2913344232","https://openalex.org/W3037477934","https://openalex.org/W3127823229","https://openalex.org/W4205143140","https://openalex.org/W4211152277","https://openalex.org/W4213165878","https://openalex.org/W4249733112","https://openalex.org/W4252113473","https://openalex.org/W4293176479","https://openalex.org/W6658941808","https://openalex.org/W6662358357","https://openalex.org/W6666075078","https://openalex.org/W6688121180","https://openalex.org/W6696858040"],"related_works":["https://openalex.org/W3186829249","https://openalex.org/W2885756743","https://openalex.org/W1992234386","https://openalex.org/W1593006801","https://openalex.org/W2162526999","https://openalex.org/W2064143133","https://openalex.org/W3099647140","https://openalex.org/W2903724013","https://openalex.org/W2182354728","https://openalex.org/W2592285783","https://openalex.org/W2783611661","https://openalex.org/W2058392484","https://openalex.org/W2403691231","https://openalex.org/W2013191336","https://openalex.org/W3015532166","https://openalex.org/W1972183506","https://openalex.org/W2585038784","https://openalex.org/W2005021983","https://openalex.org/W2123027737","https://openalex.org/W2017531368"],"abstract_inverted_index":{"Abstract":[0],"We":[1],"generalize":[2],"several":[3],"recognizability":[4],"theorems":[5],"for":[6],"free":[7,11],"single-sorted":[8],"algebras":[9,13],"to":[10],"many-sorted":[12],"and":[14,20],"provide,":[15],"in":[16],"a":[17],"uniform":[18],"way":[19],"without":[21],"using":[22],"either":[23],"regular":[24],"tree":[25,28],"grammars":[26],"or":[27],"automata,":[29],"purely":[30],"algebraic":[31],"proofs":[32],"of":[33],"them":[34],"based":[35],"on":[36],"congruences.":[37]},"counts_by_year":[],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
