{"id":"https://openalex.org/W2613109428","doi":"https://doi.org/10.23638/lmcs-15(4:16)2019","title":"Logical and Algebraic Characterizations of Rational Transductions","display_name":"Logical and Algebraic Characterizations of Rational Transductions","publication_year":2019,"publication_date":"2019-12-19","ids":{"openalex":"https://openalex.org/W2613109428","doi":"https://doi.org/10.23638/lmcs-15(4:16)2019","mag":"2613109428"},"language":"en","primary_location":{"id":"doi:10.23638/lmcs-15(4:16)2019","is_oa":true,"landing_page_url":"https://doi.org/10.23638/lmcs-15(4:16)2019","pdf_url":"https://lmcs.episciences.org/5988/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":["arxiv","crossref","datacite","doaj"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://lmcs.episciences.org/5988/pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5049821685","display_name":"Emmanuel Filiot","orcid":"https://orcid.org/0000-0002-2520-5630"},"institutions":[{"id":"https://openalex.org/I132053463","display_name":"Universit\u00e9 Libre de Bruxelles","ror":"https://ror.org/01r9htc13","country_code":"BE","type":"education","lineage":["https://openalex.org/I132053463"]}],"countries":["BE"],"is_corresponding":true,"raw_author_name":"Emmanuel Filiot","raw_affiliation_strings":["Universit\u00e9 libre de Bruxelles"],"affiliations":[{"raw_affiliation_string":"Universit\u00e9 libre de Bruxelles","institution_ids":["https://openalex.org/I132053463"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5032764050","display_name":"Olivier Gauwin","orcid":null},"institutions":[{"id":"https://openalex.org/I4210142254","display_name":"Laboratoire Bordelais de Recherche en Informatique","ror":"https://ror.org/03adqg323","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I15057530","https://openalex.org/I4210142254","https://openalex.org/I4210159245","https://openalex.org/I4210160189"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Olivier Gauwin","raw_affiliation_strings":["Laboratoire Bordelais de Recherche en Informatique"],"affiliations":[{"raw_affiliation_string":"Laboratoire Bordelais de Recherche en Informatique","institution_ids":["https://openalex.org/I4210142254"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5076829560","display_name":"Nathan Lhote","orcid":"https://orcid.org/0000-0003-3303-5368"},"institutions":[{"id":"https://openalex.org/I4210142254","display_name":"Laboratoire Bordelais de Recherche en Informatique","ror":"https://ror.org/03adqg323","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I15057530","https://openalex.org/I4210142254","https://openalex.org/I4210159245","https://openalex.org/I4210160189"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Nathan Lhote","raw_affiliation_strings":["Laboratoire Bordelais de Recherche en Informatique"],"affiliations":[{"raw_affiliation_string":"Laboratoire Bordelais de Recherche en Informatique","institution_ids":["https://openalex.org/I4210142254"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5049821685"],"corresponding_institution_ids":["https://openalex.org/I132053463"],"apc_list":null,"apc_paid":null,"fwci":0.2,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.49462842,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"Volume 15, Issue 4","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":0.7436000108718872,"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":0.7436000108718872,"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":0.09390000253915787,"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/T12029","display_name":"DNA and Biological Computing","score":0.061000000685453415,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/decidability","display_name":"Decidability","score":0.7717158794403076},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5841534733772278},{"id":"https://openalex.org/keywords/congruence-relation","display_name":"Congruence relation","score":0.5772661566734314},{"id":"https://openalex.org/keywords/aperiodic-graph","display_name":"Aperiodic graph","score":0.5632407069206238},{"id":"https://openalex.org/keywords/finite-state-machine","display_name":"Finite-state machine","score":0.5563682913780212},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.5138721466064453},{"id":"https://openalex.org/keywords/regular-language","display_name":"Regular language","score":0.47806838154792786},{"id":"https://openalex.org/keywords/pushdown-automaton","display_name":"Pushdown automaton","score":0.468289315700531},{"id":"https://openalex.org/keywords/automaton","display_name":"Automaton","score":0.37230706214904785},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.3274427056312561},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2901819050312042},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.2537701725959778},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.21448791027069092},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.1775725781917572},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.166460782289505}],"concepts":[{"id":"https://openalex.org/C153269930","wikidata":"https://www.wikidata.org/wiki/Q430001","display_name":"Decidability","level":2,"score":0.7717158794403076},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5841534733772278},{"id":"https://openalex.org/C9973445","wikidata":"https://www.wikidata.org/wiki/Q8349849","display_name":"Congruence relation","level":2,"score":0.5772661566734314},{"id":"https://openalex.org/C104247578","wikidata":"https://www.wikidata.org/wiki/Q4779368","display_name":"Aperiodic graph","level":2,"score":0.5632407069206238},{"id":"https://openalex.org/C167822520","wikidata":"https://www.wikidata.org/wiki/Q176452","display_name":"Finite-state machine","level":2,"score":0.5563682913780212},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.5138721466064453},{"id":"https://openalex.org/C52370388","wikidata":"https://www.wikidata.org/wiki/Q752532","display_name":"Regular language","level":3,"score":0.47806838154792786},{"id":"https://openalex.org/C77944639","wikidata":"https://www.wikidata.org/wiki/Q751443","display_name":"Pushdown automaton","level":3,"score":0.468289315700531},{"id":"https://openalex.org/C112505250","wikidata":"https://www.wikidata.org/wiki/Q787116","display_name":"Automaton","level":2,"score":0.37230706214904785},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3274427056312561},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2901819050312042},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.2537701725959778},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.21448791027069092},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.1775725781917572},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.166460782289505}],"mesh":[],"locations_count":7,"locations":[{"id":"doi:10.23638/lmcs-15(4:16)2019","is_oa":true,"landing_page_url":"https://doi.org/10.23638/lmcs-15(4:16)2019","pdf_url":"https://lmcs.episciences.org/5988/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:1705.03726","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1705.03726","pdf_url":"https://arxiv.org/pdf/1705.03726","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":"pmh:oai:HAL:hal-02503054v1","is_oa":false,"landing_page_url":"https://hal.science/hal-02503054","pdf_url":null,"source":{"id":"https://openalex.org/S4406922466","display_name":"SPIRE - Sciences Po Institutional REpository","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"https://lmcs.episciences.org/5988","raw_type":"Journal articles"},{"id":"pmh:oai:dipot.ulb.ac.be:2013/272128","is_oa":true,"landing_page_url":"http://hdl.handle.net/2013/ULB-DIPOT:oai:dipot.ulb.ac.be:2013/272128","pdf_url":null,"source":{"id":"https://openalex.org/S4306401063","display_name":"D\u00e9p\u00f4t institutionnel de l'Universit\u00e9 libre de Bruxelles (Universit\u00e9 Libre de Bruxelles)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I132053463","host_organization_name":"Universit\u00e9 Libre de Bruxelles","host_organization_lineage":["https://openalex.org/I132053463"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Logical methods in computer science","raw_type":"info:ulb-repo/semantics/openurl/article"},{"id":"pmh:oai:dipot.ulb.ac.be:2013/303305","is_oa":true,"landing_page_url":"http://hdl.handle.net/2013/ULB-DIPOT:oai:dipot.ulb.ac.be:2013/303305","pdf_url":null,"source":{"id":"https://openalex.org/S4306401063","display_name":"D\u00e9p\u00f4t institutionnel de l'Universit\u00e9 libre de Bruxelles (Universit\u00e9 Libre de Bruxelles)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I132053463","host_organization_name":"Universit\u00e9 Libre de Bruxelles","host_organization_lineage":["https://openalex.org/I132053463"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Logical methods in computer science, 15 (4","raw_type":"info:ulb-repo/semantics/openurl/article"},{"id":"pmh:oai:doaj.org/article:1573398d39d44825b01607fc37bf4daf","is_oa":true,"landing_page_url":"https://doaj.org/article/1573398d39d44825b01607fc37bf4daf","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 15, Issue 4 (2019)","raw_type":"article"},{"id":"doi:10.48550/arxiv.1705.03726","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1705.03726","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-15(4:16)2019","is_oa":true,"landing_page_url":"https://doi.org/10.23638/lmcs-15(4:16)2019","pdf_url":"https://lmcs.episciences.org/5988/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/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/G8415264645","display_name":null,"funder_award_id":"ANR-13-JS02-0010","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"}],"funders":[{"id":"https://openalex.org/F4320320883","display_name":"Agence Nationale de la Recherche","ror":"https://ror.org/00rbzpz17"},{"id":"https://openalex.org/F4320321390","display_name":"Fonds De La Recherche Scientifique - FNRS","ror":"https://ror.org/03q83t159"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2613109428.pdf","grobid_xml":"https://content.openalex.org/works/W2613109428.grobid-xml"},"referenced_works_count":31,"referenced_works":["https://openalex.org/W200063938","https://openalex.org/W587223573","https://openalex.org/W1457388223","https://openalex.org/W1482193060","https://openalex.org/W1494501847","https://openalex.org/W1505482284","https://openalex.org/W1529428897","https://openalex.org/W1560463521","https://openalex.org/W1584451387","https://openalex.org/W1659651740","https://openalex.org/W1810576301","https://openalex.org/W1965306495","https://openalex.org/W2026713735","https://openalex.org/W2027683388","https://openalex.org/W2028504862","https://openalex.org/W2039511338","https://openalex.org/W2042869341","https://openalex.org/W2065930159","https://openalex.org/W2067829889","https://openalex.org/W2088432971","https://openalex.org/W2106181999","https://openalex.org/W2107847539","https://openalex.org/W2116250539","https://openalex.org/W2149200336","https://openalex.org/W2167954650","https://openalex.org/W2223195026","https://openalex.org/W2258630338","https://openalex.org/W2274615375","https://openalex.org/W2531193976","https://openalex.org/W2578836874","https://openalex.org/W2963428664"],"related_works":["https://openalex.org/W2184083642","https://openalex.org/W1606239797","https://openalex.org/W2919513305","https://openalex.org/W302185782","https://openalex.org/W2052706627","https://openalex.org/W2346299657","https://openalex.org/W2156541338","https://openalex.org/W2046438722","https://openalex.org/W1911051767","https://openalex.org/W2164205867","https://openalex.org/W2810512114","https://openalex.org/W2154551318","https://openalex.org/W3199627414","https://openalex.org/W3174784194","https://openalex.org/W1963127161","https://openalex.org/W1973813190","https://openalex.org/W1607580303","https://openalex.org/W1586483497","https://openalex.org/W3098983447","https://openalex.org/W2962687554"],"abstract_inverted_index":{"Rational":[0],"word":[1],"languages":[2,27,119],"can":[3,92],"be":[4],"defined":[5,29,70],"by":[6,47,71],"several":[7],"equivalent":[8],"means:":[9],"finite":[10,15,72],"state":[11,73],"automata,":[12,32],"rational":[13,65,96,132],"expressions,":[14,34],"congruences,":[16,37],"or":[17,38],"monadic":[18],"second-order":[19],"(MSO)":[20],"logic.":[21,41],"The":[22],"robust":[23],"subclass":[24],"of":[25],"aperiodic":[26,35,48],"is":[28,57,89,102,128,134,143],"by:":[30],"counter-free":[31],"star-free":[33],"(finite)":[36],"first-order":[39,135],"(FO)":[40],"In":[42,75],"particular,":[43],"their":[44],"algebraic":[45,80],"characterization":[46],"congruences":[49],"allows":[50],"to":[51,64,120],"decide":[52,93],"whether":[53],"a":[54,95,100,104,112,125,131],"regular":[55],"language":[56],"aperiodic.":[58],"We":[59,109],"lift":[60],"this":[61,76,141],"decidability":[62],"result":[63,88,114],"transductions,":[66],"i.e.,":[67],"word-to-word":[68],"functions":[69],"transducers.":[74],"context,":[77],"logical":[78],"and":[79,137],"characterizations":[81],"have":[82],"also":[83,110],"been":[84],"proposed.":[85],"Our":[86],"main":[87],"that":[90,140],"one":[91],"if":[94,130],"transduction":[97,133],"(given":[98],"as":[99],"transducer)":[101],"in":[103],"given":[105],"decidable":[106,129],"congruence":[107],"class.":[108],"establish":[111],"transfer":[113],"from":[115],"logic-algebra":[116],"equivalences":[117,121],"over":[118,122],"transductions.":[123],"As":[124],"consequence,":[126],"it":[127],"definable,":[136],"we":[138],"show":[139],"problem":[142],"PSPACE-complete.":[144]},"counts_by_year":[{"year":2021,"cited_by_count":1}],"updated_date":"2026-04-21T08:09:41.155169","created_date":"2025-10-10T00:00:00"}