{"id":"https://openalex.org/W2964091195","doi":"https://doi.org/10.23638/lmcs-16(1:32)2020","title":"Automata Minimization: a Functorial Approach","display_name":"Automata Minimization: a Functorial Approach","publication_year":2020,"publication_date":"2020-03-23","ids":{"openalex":"https://openalex.org/W2964091195","doi":"https://doi.org/10.23638/lmcs-16(1:32)2020","mag":"2964091195"},"language":"en","primary_location":{"id":"doi:10.23638/lmcs-16(1:32)2020","is_oa":true,"landing_page_url":"https://doi.org/10.23638/lmcs-16(1:32)2020","pdf_url":"https://lmcs.episciences.org/6213/pdf","source":{"id":"https://openalex.org/S114379355","display_name":"Logical Methods in Computer Science","issn_l":"1860-5974","issn":["1860-5974"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310313916","host_organization_name":"Logical Methods in Computer Science e.V.","host_organization_lineage":["https://openalex.org/P4310313916"],"host_organization_lineage_names":["Logical Methods in Computer Science e.V."],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Logical Methods in Computer Science","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://lmcs.episciences.org/6213/pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5003426815","display_name":"Thomas Colcombet","orcid":"https://orcid.org/0000-0001-6529-6963"},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I204730241","display_name":"Universit\u00e9 Paris Cit\u00e9","ror":"https://ror.org/05f82e368","country_code":"FR","type":"education","lineage":["https://openalex.org/I204730241"]},{"id":"https://openalex.org/I4210091437","display_name":"Sorbonne Paris Cit\u00e9","ror":"https://ror.org/001z21q04","country_code":"FR","type":"other","lineage":["https://openalex.org/I4210091437"]},{"id":"https://openalex.org/I4210117673","display_name":"Institut de Recherche en Informatique Fondamentale","ror":"https://ror.org/02krdtz55","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I204730241","https://openalex.org/I4210089394","https://openalex.org/I4210117673","https://openalex.org/I4210139971"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Thomas Colcombet","raw_affiliation_strings":["CNRS - Centre National de la Recherche Scientifique (France)","UPCit\u00e9 - Universit\u00e9 Paris Cit\u00e9 (85 boulevard Saint-Germain\r\n75006 Paris - France)","IRIF (UMR_8243) - Institut de Recherche en Informatique Fondamentale (Universit\u00e9 de Paris\r\nB\u00e2timent Sophie Germain, Case courrier 7014\r\n8 Place Aur\u00e9lie Nemours\r\n75205 Paris Cedex 13  - France)"],"affiliations":[{"raw_affiliation_string":"CNRS - Centre National de la Recherche Scientifique (France)","institution_ids":["https://openalex.org/I1294671590"]},{"raw_affiliation_string":"UPCit\u00e9 - Universit\u00e9 Paris Cit\u00e9 (85 boulevard Saint-Germain\r\n75006 Paris - France)","institution_ids":["https://openalex.org/I4210091437","https://openalex.org/I204730241"]},{"raw_affiliation_string":"IRIF (UMR_8243) - Institut de Recherche en Informatique Fondamentale (Universit\u00e9 de Paris\r\nB\u00e2timent Sophie Germain, Case courrier 7014\r\n8 Place Aur\u00e9lie Nemours\r\n75205 Paris Cedex 13  - France)","institution_ids":["https://openalex.org/I4210117673","https://openalex.org/I204730241"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5047147912","display_name":"Daniela Petri\u015fan","orcid":null},"institutions":[{"id":"https://openalex.org/I204730241","display_name":"Universit\u00e9 Paris Cit\u00e9","ror":"https://ror.org/05f82e368","country_code":"FR","type":"education","lineage":["https://openalex.org/I204730241"]},{"id":"https://openalex.org/I4210091437","display_name":"Sorbonne Paris Cit\u00e9","ror":"https://ror.org/001z21q04","country_code":"FR","type":"other","lineage":["https://openalex.org/I4210091437"]},{"id":"https://openalex.org/I4210117673","display_name":"Institut de Recherche en Informatique Fondamentale","ror":"https://ror.org/02krdtz55","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I204730241","https://openalex.org/I4210089394","https://openalex.org/I4210117673","https://openalex.org/I4210139971"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Daniela Petri\u015fan","raw_affiliation_strings":["IRIF (UMR_8243) - Institut de Recherche en Informatique Fondamentale (Universit\u00e9 de Paris\r\nB\u00e2timent Sophie Germain, Case courrier 7014\r\n8 Place Aur\u00e9lie Nemours\r\n75205 Paris Cedex 13  - France)","UPCit\u00e9 - Universit\u00e9 Paris Cit\u00e9 (85 boulevard Saint-Germain\r\n75006 Paris - France)"],"affiliations":[{"raw_affiliation_string":"IRIF (UMR_8243) - Institut de Recherche en Informatique Fondamentale (Universit\u00e9 de Paris\r\nB\u00e2timent Sophie Germain, Case courrier 7014\r\n8 Place Aur\u00e9lie Nemours\r\n75205 Paris Cedex 13  - France)","institution_ids":["https://openalex.org/I4210117673","https://openalex.org/I204730241"]},{"raw_affiliation_string":"UPCit\u00e9 - Universit\u00e9 Paris Cit\u00e9 (85 boulevard Saint-Germain\r\n75006 Paris - France)","institution_ids":["https://openalex.org/I4210091437","https://openalex.org/I204730241"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5003426815"],"corresponding_institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I204730241","https://openalex.org/I4210091437","https://openalex.org/I4210117673"],"apc_list":null,"apc_paid":null,"fwci":0.289,"has_fulltext":true,"cited_by_count":10,"citation_normalized_percentile":{"value":0.59897617,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"Volume 16, Issue 1","issue":null,"first_page":null,"last_page":null},"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/T10126","display_name":"Logic, programming, and type systems","score":0.9995999932289124,"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":0.998199999332428,"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/minification","display_name":"Minification","score":0.6295520067214966},{"id":"https://openalex.org/keywords/automaton","display_name":"Automaton","score":0.5855758786201477},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4350476861000061},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.42976075410842896},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.3812544345855713},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.26771339774131775},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.2667137384414673},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.23816117644309998}],"concepts":[{"id":"https://openalex.org/C147764199","wikidata":"https://www.wikidata.org/wiki/Q6865248","display_name":"Minification","level":2,"score":0.6295520067214966},{"id":"https://openalex.org/C112505250","wikidata":"https://www.wikidata.org/wiki/Q787116","display_name":"Automaton","level":2,"score":0.5855758786201477},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4350476861000061},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.42976075410842896},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3812544345855713},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.26771339774131775},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.2667137384414673},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.23816117644309998}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.23638/lmcs-16(1:32)2020","is_oa":true,"landing_page_url":"https://doi.org/10.23638/lmcs-16(1:32)2020","pdf_url":"https://lmcs.episciences.org/6213/pdf","source":{"id":"https://openalex.org/S114379355","display_name":"Logical Methods in Computer Science","issn_l":"1860-5974","issn":["1860-5974"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310313916","host_organization_name":"Logical Methods in Computer Science e.V.","host_organization_lineage":["https://openalex.org/P4310313916"],"host_organization_lineage_names":["Logical Methods in Computer Science e.V."],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Logical Methods in Computer Science","raw_type":"journal-article"},{"id":"pmh:oai:HAL:hal-03105616v1","is_oa":false,"landing_page_url":"https://hal.science/hal-03105616","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Logical Methods in Computer Science, 2020, pp.1-32. ⟨10.23638/LMCS-16(1:32)2020⟩","raw_type":"Journal articles"},{"id":"pmh:oai:doaj.org/article:6932a9edc8f14ef7bcf8491c3a75b788","is_oa":true,"landing_page_url":"https://doaj.org/article/6932a9edc8f14ef7bcf8491c3a75b788","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Logical Methods in Computer Science, Vol Volume 16, Issue 1 (2020)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.23638/lmcs-16(1:32)2020","is_oa":true,"landing_page_url":"https://doi.org/10.23638/lmcs-16(1:32)2020","pdf_url":"https://lmcs.episciences.org/6213/pdf","source":{"id":"https://openalex.org/S114379355","display_name":"Logical Methods in Computer Science","issn_l":"1860-5974","issn":["1860-5974"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310313916","host_organization_name":"Logical Methods in Computer Science e.V.","host_organization_lineage":["https://openalex.org/P4310313916"],"host_organization_lineage_names":["Logical Methods in Computer Science e.V."],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Logical Methods in Computer Science","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G199127864","display_name":null,"funder_award_id":"670624","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"},{"id":"https://openalex.org/G794676242","display_name":null,"funder_award_id":"ANR-16-CE40-0007","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"},{"id":"https://openalex.org/G8318064016","display_name":null,"funder_award_id":"Horizon","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"}],"funders":[{"id":"https://openalex.org/F4320320300","display_name":"European Commission","ror":"https://ror.org/00k4n6c32"},{"id":"https://openalex.org/F4320320883","display_name":"Agence Nationale de la Recherche","ror":"https://ror.org/00rbzpz17"},{"id":"https://openalex.org/F4320334164","display_name":"Simons Institute for the Theory of Computing, University of California Berkeley","ror":null}],"has_content":{"pdf":true,"grobid_xml":false},"content_urls":{"pdf":"https://content.openalex.org/works/W2964091195.pdf"},"referenced_works_count":19,"referenced_works":["https://openalex.org/W109180551","https://openalex.org/W1528269269","https://openalex.org/W1546311093","https://openalex.org/W1548663088","https://openalex.org/W1555579046","https://openalex.org/W1724302595","https://openalex.org/W2002025616","https://openalex.org/W2028110117","https://openalex.org/W2047957052","https://openalex.org/W2067829889","https://openalex.org/W2068860517","https://openalex.org/W2088189323","https://openalex.org/W2138769606","https://openalex.org/W2144143049","https://openalex.org/W2157657301","https://openalex.org/W2171773189","https://openalex.org/W2593369974","https://openalex.org/W2963823488","https://openalex.org/W4294396475"],"related_works":["https://openalex.org/W2899084033","https://openalex.org/W2748952813","https://openalex.org/W4391375266","https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W2142036596","https://openalex.org/W2075835272"],"abstract_inverted_index":{"In":[0],"this":[1,90,125],"paper":[2,134],"we":[3],"regard":[4],"languages":[5,31],"and":[6,32,106,119],"their":[7],"acceptors":[8],"-":[9,19],"such":[10],"as":[11,20,47],"deterministic":[12],"or":[13,17],"weighted":[14],"automata,":[15],"transducers,":[16],"monoids":[18],"functors":[21],"from":[22],"input":[23],"categories":[24,37,76,83],"that":[25,38,59],"specify":[26,39],"the":[27,30,34,40,55,62,75,131],"type":[28,41],"of":[29,33,42,61,84,112,120,130],"machines":[35],"to":[36,71,80,95],"outputs.":[43],"Our":[44],"results":[45],"are":[46],"follows:":[48],"A)":[49],"We":[50,68,87,109],"provide":[51,110],"sufficient":[52],"conditions":[53],"on":[54],"output":[56,78],"category":[57],"so":[58],"minimization":[60,105,114,122],"corresponding":[63],"automata":[64,100],"is":[65],"guaranteed.":[66],"B)":[67],"show":[69,88],"how":[70,89],"lift":[72],"adjunctions":[73,81],"between":[74,82],"for":[77,116],"values":[79],"automata.":[85],"C)":[86],"framework":[91],"can":[92],"be":[93],"instantiated":[94],"unify":[96],"several":[97],"phenomena":[98],"in":[99,124],"theory,":[101],"starting":[102],"with":[103],"determinization,":[104],"syntactic":[107],"algebras.":[108],"explanations":[111],"Choffrut's":[113],"algorithm":[115,123],"subsequential":[117],"transducers":[118],"Brzozowski's":[121],"setting.":[126],"Comment:":[127],"journal":[128],"version":[129],"CALCO":[132],"2017":[133],"arXiv:1711.03063":[135]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":4},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":2},{"year":2019,"cited_by_count":1}],"updated_date":"2026-04-16T08:26:57.006410","created_date":"2025-10-10T00:00:00"}