{"id":"https://openalex.org/W3007469209","doi":"https://doi.org/10.23638/lmcs-16(1:24)2020","title":"Continuity of Functional Transducers: A Profinite Study of Rational Functions","display_name":"Continuity of Functional Transducers: A Profinite Study of Rational Functions","publication_year":2020,"publication_date":"2020-02-21","ids":{"openalex":"https://openalex.org/W3007469209","doi":"https://doi.org/10.23638/lmcs-16(1:24)2020","mag":"3007469209"},"language":"en","primary_location":{"id":"doi:10.23638/lmcs-16(1:24)2020","is_oa":true,"landing_page_url":"https://doi.org/10.23638/lmcs-16(1:24)2020","pdf_url":"https://lmcs.episciences.org/6132/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":"preprint","indexed_in":["arxiv","crossref","datacite","doaj"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://lmcs.episciences.org/6132/pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5064763023","display_name":"Micha\u00ebl Cadilhac","orcid":"https://orcid.org/0000-0001-9828-9129"},"institutions":[{"id":"https://openalex.org/I118353179","display_name":"DePaul University","ror":"https://ror.org/04xtx5t16","country_code":"US","type":"education","lineage":["https://openalex.org/I118353179"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Micha\u00ebl Cadilhac","raw_affiliation_strings":["DePaul University [Chicago]"],"affiliations":[{"raw_affiliation_string":"DePaul University [Chicago]","institution_ids":["https://openalex.org/I118353179"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5025290597","display_name":"Olivier Carton","orcid":"https://orcid.org/0000-0002-2728-6534"},"institutions":[{"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":"Olivier Carton","raw_affiliation_strings":["Institut de Recherche en Informatique Fondamentale"],"affiliations":[{"raw_affiliation_string":"Institut de Recherche en Informatique Fondamentale","institution_ids":["https://openalex.org/I4210117673"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5021785658","display_name":"Charles Paperman","orcid":"https://orcid.org/0000-0002-6658-5238"},"institutions":[{"id":"https://openalex.org/I4210101253","display_name":"Dynamic Imaging (United Kingdom)","ror":"https://ror.org/016xf4y16","country_code":"GB","type":"company","lineage":["https://openalex.org/I4210101253"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Charles Paperman","raw_affiliation_strings":["Linking Dynamic Data"],"affiliations":[{"raw_affiliation_string":"Linking Dynamic Data","institution_ids":["https://openalex.org/I4210101253"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5064763023"],"corresponding_institution_ids":["https://openalex.org/I118353179"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.0458066,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"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":1.0,"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":1.0,"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":0.9973000288009644,"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/T11269","display_name":"Algorithms and Data Compression","score":0.9941999912261963,"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/decidability","display_name":"Decidability","score":0.8105661869049072},{"id":"https://openalex.org/keywords/regular-language","display_name":"Regular language","score":0.6513444185256958},{"id":"https://openalex.org/keywords/automaton","display_name":"Automaton","score":0.5604857206344604},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.5602176189422607},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5200873613357544},{"id":"https://openalex.org/keywords/word","display_name":"Word (group theory)","score":0.47436031699180603},{"id":"https://openalex.org/keywords/computable-function","display_name":"Computable function","score":0.4702533483505249},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4394247829914093},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.42462703585624695},{"id":"https://openalex.org/keywords/inverse","display_name":"Inverse","score":0.42021340131759644},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.4193263053894043},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.38820549845695496},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.2232498824596405},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.12799963355064392},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.08588916063308716}],"concepts":[{"id":"https://openalex.org/C153269930","wikidata":"https://www.wikidata.org/wiki/Q430001","display_name":"Decidability","level":2,"score":0.8105661869049072},{"id":"https://openalex.org/C52370388","wikidata":"https://www.wikidata.org/wiki/Q752532","display_name":"Regular language","level":3,"score":0.6513444185256958},{"id":"https://openalex.org/C112505250","wikidata":"https://www.wikidata.org/wiki/Q787116","display_name":"Automaton","level":2,"score":0.5604857206344604},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.5602176189422607},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5200873613357544},{"id":"https://openalex.org/C90805587","wikidata":"https://www.wikidata.org/wiki/Q10944557","display_name":"Word (group theory)","level":2,"score":0.47436031699180603},{"id":"https://openalex.org/C54271186","wikidata":"https://www.wikidata.org/wiki/Q1148456","display_name":"Computable function","level":2,"score":0.4702533483505249},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4394247829914093},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.42462703585624695},{"id":"https://openalex.org/C207467116","wikidata":"https://www.wikidata.org/wiki/Q4385666","display_name":"Inverse","level":2,"score":0.42021340131759644},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.4193263053894043},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.38820549845695496},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.2232498824596405},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.12799963355064392},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.08588916063308716}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.23638/lmcs-16(1:24)2020","is_oa":true,"landing_page_url":"https://doi.org/10.23638/lmcs-16(1:24)2020","pdf_url":"https://lmcs.episciences.org/6132/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:arXiv.org:1802.10555","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1802.10555","pdf_url":"https://arxiv.org/pdf/1802.10555","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":"doi:10.48550/arxiv.1802.10555","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1802.10555","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article-journal"}],"best_oa_location":{"id":"doi:10.23638/lmcs-16(1:24)2020","is_oa":true,"landing_page_url":"https://doi.org/10.23638/lmcs-16(1:24)2020","pdf_url":"https://lmcs.episciences.org/6132/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":[{"display_name":"Quality Education","score":0.4099999964237213,"id":"https://metadata.un.org/sdg/4"}],"awards":[{"id":"https://openalex.org/G5172237087","display_name":null,"funder_award_id":"KR 4042/2","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"},{"id":"https://openalex.org/G6743243744","display_name":null,"funder_award_id":"unknown","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"},{"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"}],"funders":[{"id":"https://openalex.org/F4320320879","display_name":"Deutsche Forschungsgemeinschaft","ror":"https://ror.org/018mejw64"},{"id":"https://openalex.org/F4320320883","display_name":"Agence Nationale de la Recherche","ror":"https://ror.org/00rbzpz17"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3007469209.pdf","grobid_xml":"https://content.openalex.org/works/W3007469209.grobid-xml"},"referenced_works_count":19,"referenced_works":["https://openalex.org/W200063938","https://openalex.org/W1457388223","https://openalex.org/W1514324498","https://openalex.org/W1542533824","https://openalex.org/W1584451387","https://openalex.org/W1995176558","https://openalex.org/W2004986871","https://openalex.org/W2015360324","https://openalex.org/W2078174437","https://openalex.org/W2080390155","https://openalex.org/W2128503115","https://openalex.org/W2136099086","https://openalex.org/W2148224873","https://openalex.org/W2223195026","https://openalex.org/W2437272661","https://openalex.org/W2530095326","https://openalex.org/W2531193976","https://openalex.org/W2578858964","https://openalex.org/W3099911838"],"related_works":["https://openalex.org/W2506746226","https://openalex.org/W2109489765","https://openalex.org/W3104737963","https://openalex.org/W1886746238","https://openalex.org/W3163386529","https://openalex.org/W4285722644","https://openalex.org/W2950141706","https://openalex.org/W2182252111","https://openalex.org/W1965531865","https://openalex.org/W1974626062"],"abstract_inverted_index":{"A":[0],"word-to-word":[1],"function":[2],"is":[3],"continuous":[4],"for":[5,21,51],"a":[6,19,66],"class":[7],"of":[8,25,33,49,58,75,82,90],"languages~$\\mathcal{V}$":[9],"if":[10],"its":[11],"inverse":[12],"maps":[13],"$\\mathcal{V}$_languages":[14],"to~$\\mathcal{V}$.":[15],"This":[16],"notion":[17],"provides":[18],"basis":[20],"an":[22],"algebraic":[23,80,100],"study":[24],"transducers,":[26],"and":[27,54,112,117],"was":[28],"integral":[29],"to":[30,122],"the":[31,34,47,71,87,91,98,109,113],"characterization":[32],"sequential":[35],"transducers":[36,53,83],"computable":[37],"in":[38,70],"some":[39,55],"circuit":[40],"complexity":[41],"classes.":[42],"Here,":[43],"we":[44,64,95],"report":[45],"on":[46,86,104],"decidability":[48],"continuity":[50,114,120],"functional":[52],"standard":[56,72],"classes":[57],"regular":[59,76],"languages.":[60,77],"To":[61],"this":[62],"end,":[63],"develop":[65],"robust":[67],"theory":[68],"rooted":[69],"profinite":[73],"analysis":[74],"Since":[78],"previous":[79],"studies":[81],"have":[84],"focused":[85],"sole":[88],"structure":[89,111],"underlying":[92],"input":[93],"automaton,":[94],"also":[96],"compare":[97],"two":[99,105],"approaches.":[101],"We":[102],"focus":[103],"questions:":[106],"When":[107],"are":[108],"automaton":[110],"properties":[115],"related,":[116],"when":[118],"does":[119],"propagate":[121],"superclasses?":[123]},"counts_by_year":[],"updated_date":"2026-04-16T08:26:57.006410","created_date":"2025-10-10T00:00:00"}
