{"id":"https://openalex.org/W2138769606","doi":"https://doi.org/10.1145/2490818","title":"Algebra-coalgebra duality in brzozowski's minimization algorithm","display_name":"Algebra-coalgebra duality in brzozowski's minimization algorithm","publication_year":2014,"publication_date":"2014-02-01","ids":{"openalex":"https://openalex.org/W2138769606","doi":"https://doi.org/10.1145/2490818","mag":"2138769606"},"language":"en","primary_location":{"is_oa":false,"landing_page_url":"https://doi.org/10.1145/2490818","pdf_url":null,"source":{"id":"https://openalex.org/S117153874","display_name":"ACM Transactions on Computational Logic","issn_l":"1529-3785","issn":["1529-3785","1557-945X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false},"type":"article","type_crossref":"journal-article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://repositorium.sdum.uminho.pt/bitstream/1822/34733/1/1996.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5004609161","display_name":"Filippo Bonchi","orcid":"https://orcid.org/0000-0002-3433-723X"},"institutions":[{"id":"https://openalex.org/I113428412","display_name":"\u00c9cole Normale Sup\u00e9rieure de Lyon","ror":"https://ror.org/04zmssz18","country_code":"FR","type":"education","lineage":["https://openalex.org/I113428412","https://openalex.org/I203339264"]},{"id":"https://openalex.org/I100532134","display_name":"Universit\u00e9 Claude Bernard Lyon 1","ror":"https://ror.org/029brtt94","country_code":"FR","type":"education","lineage":["https://openalex.org/I100532134","https://openalex.org/I203339264"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Filippo Bonchi","raw_affiliation_strings":["ENS Lyon, Universit\u00e9 de Lyon LIP (UMR 5668), France"],"affiliations":[{"raw_affiliation_string":"ENS Lyon, Universit\u00e9 de Lyon LIP (UMR 5668), France","institution_ids":["https://openalex.org/I113428412","https://openalex.org/I100532134"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5062502864","display_name":"Marcello Bonsangue","orcid":"https://orcid.org/0000-0003-3746-3618"},"institutions":[{"id":"https://openalex.org/I121797337","display_name":"Leiden University","ror":"https://ror.org/027bh9e22","country_code":"NL","type":"education","lineage":["https://openalex.org/I121797337"]}],"countries":["NL"],"is_corresponding":false,"raw_author_name":"Marcello M. Bonsangue","raw_affiliation_strings":["LIACS, Leiden University, the Netherlands#TAB#"],"affiliations":[{"raw_affiliation_string":"LIACS, Leiden University, the Netherlands#TAB#","institution_ids":["https://openalex.org/I121797337"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5007089889","display_name":"Helle Hvid Hansen","orcid":"https://orcid.org/0000-0001-7061-1219"},"institutions":[{"id":"https://openalex.org/I145872427","display_name":"Radboud University Nijmegen","ror":"https://ror.org/016xsfp80","country_code":"NL","type":"education","lineage":["https://openalex.org/I145872427"]}],"countries":["NL"],"is_corresponding":false,"raw_author_name":"Helle H. Hansen","raw_affiliation_strings":["Radboud University Nijmegen, The Netherlands"],"affiliations":[{"raw_affiliation_string":"Radboud University Nijmegen, The Netherlands","institution_ids":["https://openalex.org/I145872427"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5068822568","display_name":"Prakash Panangaden","orcid":"https://orcid.org/0000-0001-8763-6172"},"institutions":[{"id":"https://openalex.org/I5023651","display_name":"McGill University","ror":"https://ror.org/01pxwe438","country_code":"CA","type":"education","lineage":["https://openalex.org/I5023651"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Prakash Panangaden","raw_affiliation_strings":["McGill Univ., Quebec, Canada#TAB#"],"affiliations":[{"raw_affiliation_string":"McGill Univ., Quebec, Canada#TAB#","institution_ids":["https://openalex.org/I5023651"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5109295440","display_name":"Jan Rutten","orcid":null},"institutions":[{"id":"https://openalex.org/I1341640284","display_name":"Centrum Wiskunde & Informatica","ror":"https://ror.org/00x7ekv49","country_code":"NL","type":"facility","lineage":["https://openalex.org/I1341640284","https://openalex.org/I2800991832"]}],"countries":["NL"],"is_corresponding":false,"raw_author_name":"Jan J. M. M. Rutten","raw_affiliation_strings":["Centrum Wiskunde & Informatica, Amsterdam, The Netherlands"],"affiliations":[{"raw_affiliation_string":"Centrum Wiskunde & Informatica, Amsterdam, The Netherlands","institution_ids":["https://openalex.org/I1341640284"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100658822","display_name":"Alexandra Silva","orcid":"https://orcid.org/0000-0001-5014-9784"},"institutions":[{"id":"https://openalex.org/I145872427","display_name":"Radboud University Nijmegen","ror":"https://ror.org/016xsfp80","country_code":"NL","type":"education","lineage":["https://openalex.org/I145872427"]}],"countries":["NL"],"is_corresponding":false,"raw_author_name":"Alexandra Silva","raw_affiliation_strings":["Radboud University Nijmegen, The Netherlands"],"affiliations":[{"raw_affiliation_string":"Radboud University Nijmegen, The Netherlands","institution_ids":["https://openalex.org/I145872427"]}]}],"institution_assertions":[],"countries_distinct_count":3,"institutions_distinct_count":6,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":9.404,"has_fulltext":true,"fulltext_origin":"pdf","cited_by_count":53,"citation_normalized_percentile":{"value":0.999896,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":96,"max":97},"biblio":{"volume":"15","issue":"1","first_page":"1","last_page":"29"},"is_retracted":false,"is_paratext":false,"primary_topic":{"id":"https://openalex.org/T11567","display_name":"semigroups and automata theory","score":0.9998,"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":0.9998,"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":0.9992,"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/T11727","display_name":"Advanced Algebra and Logic","score":0.9984,"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/coalgebra","display_name":"Coalgebra","score":0.8722533},{"id":"https://openalex.org/keywords/duality","display_name":"Duality (order theory)","score":0.63874656},{"id":"https://openalex.org/keywords/regular-language","display_name":"Regular language","score":0.4194501}],"concepts":[{"id":"https://openalex.org/C2778249326","wikidata":"https://www.wikidata.org/wiki/Q1777803","display_name":"Coalgebra","level":3,"score":0.8722533},{"id":"https://openalex.org/C2778023678","wikidata":"https://www.wikidata.org/wiki/Q554403","display_name":"Duality (order theory)","level":2,"score":0.63874656},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5845813},{"id":"https://openalex.org/C112505250","wikidata":"https://www.wikidata.org/wiki/Q787116","display_name":"Automaton","level":2,"score":0.5510033},{"id":"https://openalex.org/C136643341","wikidata":"https://www.wikidata.org/wiki/Q1361526","display_name":"Reachability","level":2,"score":0.46845102},{"id":"https://openalex.org/C55439883","wikidata":"https://www.wikidata.org/wiki/Q360812","display_name":"Correctness","level":2,"score":0.46632722},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.4509801},{"id":"https://openalex.org/C52370388","wikidata":"https://www.wikidata.org/wiki/Q752532","display_name":"Regular language","level":3,"score":0.4194501},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.37601903},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.31444082},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.31017423},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.23101345},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.13876933}],"mesh":[],"locations_count":7,"locations":[{"is_oa":false,"landing_page_url":"https://doi.org/10.1145/2490818","pdf_url":null,"source":{"id":"https://openalex.org/S117153874","display_name":"ACM Transactions on Computational Logic","issn_l":"1529-3785","issn":["1529-3785","1557-945X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false},{"is_oa":false,"landing_page_url":"https://hal.archives-ouvertes.fr/hal-00909426","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":true,"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":["Centre National de la Recherche Scientifique"],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false},{"is_oa":false,"landing_page_url":"https://hal.science/hal-00909426","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":true,"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":["Centre National de la Recherche Scientifique"],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false},{"is_oa":true,"landing_page_url":"http://hdl.handle.net/1822/34733","pdf_url":"https://repositorium.sdum.uminho.pt/bitstream/1822/34733/1/1996.pdf","source":{"id":"https://openalex.org/S4306401240","display_name":"Reposit\u00f3riUM (Universidade do Minho)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I99682543","host_organization_name":"University of Minho","host_organization_lineage":["https://openalex.org/I99682543"],"host_organization_lineage_names":["University of Minho"],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false},{"is_oa":true,"landing_page_url":"https://ir.cwi.nl/pub/23090","pdf_url":"https://ir.cwi.nl/pub/23090/23090B.pdf","source":{"id":"https://openalex.org/S4306401843","display_name":"Data Archiving and Networked Services (DANS)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1322597698","host_organization_name":"Royal Netherlands Academy of Arts and Sciences","host_organization_lineage":["https://openalex.org/I1322597698"],"host_organization_lineage_names":["Royal Netherlands Academy of Arts and Sciences"],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false},{"is_oa":true,"landing_page_url":"https://repository.ubn.ru.nl//bitstream/handle/2066/127972/127972.pdf","pdf_url":"https://repository.ubn.ru.nl//bitstream/handle/2066/127972/127972.pdf","source":{"id":"https://openalex.org/S4306401067","display_name":"Radboud Repository (Radboud University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I145872427","host_organization_name":"Radboud University Nijmegen","host_organization_lineage":["https://openalex.org/I145872427"],"host_organization_lineage_names":["Radboud University Nijmegen"],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false},{"is_oa":true,"landing_page_url":"http://hdl.handle.net/2066/127972","pdf_url":"https://repository.ubn.ru.nl/bitstream/handle/2066/127972/1/127972.pdf","source":{"id":"https://openalex.org/S4306401843","display_name":"Data Archiving and Networked Services (DANS)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1322597698","host_organization_name":"Royal Netherlands Academy of Arts and Sciences","host_organization_lineage":["https://openalex.org/I1322597698"],"host_organization_lineage_names":["Royal Netherlands Academy of Arts and Sciences"],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false}],"best_oa_location":{"is_oa":true,"landing_page_url":"http://hdl.handle.net/1822/34733","pdf_url":"https://repositorium.sdum.uminho.pt/bitstream/1822/34733/1/1996.pdf","source":{"id":"https://openalex.org/S4306401240","display_name":"Reposit\u00f3riUM (Universidade do Minho)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I99682543","host_organization_name":"University of Minho","host_organization_lineage":["https://openalex.org/I99682543"],"host_organization_lineage_names":["University of Minho"],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false},"sustainable_development_goals":[],"grants":[{"funder":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche","award_id":null},{"funder":"https://openalex.org/F4320321800","funder_display_name":"Nederlandse Organisatie voor Wetenschappelijk Onderzoek","award_id":"639.021.231"},{"funder":"https://openalex.org/F4320322892","funder_display_name":"Centre National de la Recherche Scientifique","award_id":null},{"funder":"https://openalex.org/F4320334593","funder_display_name":"Natural Sciences and Engineering Research Council of Canada","award_id":null},{"funder":"https://openalex.org/F4320334779","funder_display_name":"Funda\u00e7\u00e3o para a Ci\u00eancia e a Tecnologia","award_id":"SFRH/BPD/71956/2010 and FCOMP-01-0124-FEDER-020537 (program COMPETE)"}],"datasets":[],"versions":[],"referenced_works_count":43,"referenced_works":["https://openalex.org/W146784359","https://openalex.org/W1493925387","https://openalex.org/W1534787852","https://openalex.org/W1546311093","https://openalex.org/W1560407082","https://openalex.org/W1561701483","https://openalex.org/W1584451387","https://openalex.org/W1588454361","https://openalex.org/W1696294956","https://openalex.org/W1724302595","https://openalex.org/W183058569","https://openalex.org/W1984151763","https://openalex.org/W1992244412","https://openalex.org/W1998368317","https://openalex.org/W2008285256","https://openalex.org/W2013548638","https://openalex.org/W2028110117","https://openalex.org/W2038755815","https://openalex.org/W2040247099","https://openalex.org/W2040756224","https://openalex.org/W2068860517","https://openalex.org/W2080543706","https://openalex.org/W2088189323","https://openalex.org/W2116571997","https://openalex.org/W2139845245","https://openalex.org/W2142799663","https://openalex.org/W2156316905","https://openalex.org/W2157657301","https://openalex.org/W2171773189","https://openalex.org/W2178359813","https://openalex.org/W2245651640","https://openalex.org/W2323291559","https://openalex.org/W23395765","https://openalex.org/W2561675875","https://openalex.org/W2588294347","https://openalex.org/W2738071894","https://openalex.org/W2887053799","https://openalex.org/W3121572647","https://openalex.org/W3134257814","https://openalex.org/W4205575619","https://openalex.org/W4206411814","https://openalex.org/W4212875940","https://openalex.org/W608362078"],"related_works":["https://openalex.org/W4382045631","https://openalex.org/W2798603509","https://openalex.org/W2573882791","https://openalex.org/W2130664212","https://openalex.org/W2129741466","https://openalex.org/W2089148617","https://openalex.org/W2032445854","https://openalex.org/W1565729639","https://openalex.org/W1554767603","https://openalex.org/W105110692"],"abstract_inverted_index":{"We":[0],"give":[1],"a":[2,30,43],"new":[3],"presentation":[4,32],"of":[5,33,46],"Brzozowski's":[6],"algorithm":[7],"to":[8,42,53,60],"minimize":[9],"finite":[10],"automata":[11,65],"using":[12],"elementary":[13],"facts":[14],"from":[15,66],"universal":[16],"algebra":[17],"and":[18,20,27,38,49,69],"coalgebra":[19],"building":[21],"on":[22,29],"earlier":[23],"work":[24],"by":[25],"Arbib":[26],"Manes":[28],"categorical":[31],"Kalman":[34],"duality":[35],"between":[36],"reachability":[37],"observability.":[39],"This":[40],"leads":[41],"simple":[44],"proof":[45],"its":[47],"correctness":[48],"opens":[50],"the":[51],"door":[52],"further":[54],"generalizations.":[55],"Notably,":[56],"we":[57],"derive":[58],"algorithms":[59],"obtain":[61],"minimal":[62],"language":[63],"equivalent":[64],"Moore":[67],"nondeterministic":[68],"weighted":[70],"automata.":[71]},"cited_by_api_url":"https://api.openalex.org/works?filter=cites:W2138769606","counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":5},{"year":2020,"cited_by_count":4},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":11},{"year":2016,"cited_by_count":5},{"year":2015,"cited_by_count":10},{"year":2014,"cited_by_count":7},{"year":2013,"cited_by_count":2}],"updated_date":"2024-12-14T16:23:24.336047","created_date":"2016-06-24"}