{"id":"https://openalex.org/W4402665517","doi":"https://doi.org/10.3233/fi-242194","title":"Myhill-Nerode Theorem for Higher-Dimensional Automata","display_name":"Myhill-Nerode Theorem for Higher-Dimensional Automata","publication_year":2024,"publication_date":"2024-09-20","ids":{"openalex":"https://openalex.org/W4402665517","doi":"https://doi.org/10.3233/fi-242194"},"language":"en","primary_location":{"id":"doi:10.3233/fi-242194","is_oa":false,"landing_page_url":"https://doi.org/10.3233/fi-242194","pdf_url":null,"source":{"id":"https://openalex.org/S39012697","display_name":"Fundamenta Informaticae","issn_l":"0169-2968","issn":["0169-2968","1875-8681"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310318577","host_organization_name":"IOS Press","host_organization_lineage":["https://openalex.org/P4310318577"],"host_organization_lineage_names":["IOS Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Fundamenta Informaticae","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5016501420","display_name":"Uli Fahrenberg","orcid":"https://orcid.org/0000-0001-9094-7625"},"institutions":[{"id":"https://openalex.org/I4210138808","display_name":"\u00c9cole Pour l'Informatique et les Techniques Avanc\u00e9es","ror":"https://ror.org/04r5ddq29","country_code":"FR","type":"education","lineage":["https://openalex.org/I4210138808"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Uli Fahrenberg","raw_affiliation_strings":["EPITA Research Laboratory (LRE), France. uli@lrde.epita.fr"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"EPITA Research Laboratory (LRE), France. uli@lrde.epita.fr","institution_ids":["https://openalex.org/I4210138808"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5064214731","display_name":"Krzysztof Ziemia\u0144ski","orcid":"https://orcid.org/0000-0001-7695-4028"},"institutions":[{"id":"https://openalex.org/I4654613","display_name":"University of Warsaw","ror":"https://ror.org/039bjqg32","country_code":"PL","type":"education","lineage":["https://openalex.org/I4654613"]}],"countries":["PL"],"is_corresponding":true,"raw_author_name":"Krzysztof Ziemia\u0144ski","raw_affiliation_strings":["University of Warsaw, Poland. ziemians@mimuw.edu.pl"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Warsaw, Poland. ziemians@mimuw.edu.pl","institution_ids":["https://openalex.org/I4654613"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5016501420","https://openalex.org/A5064214731"],"corresponding_institution_ids":["https://openalex.org/I4210138808","https://openalex.org/I4654613"],"apc_list":null,"apc_paid":null,"fwci":0.5764,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.69937057,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":95,"max":96},"biblio":{"volume":"192","issue":"3-4","first_page":"219","last_page":"259"},"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/T12029","display_name":"DNA and Biological Computing","score":0.9962999820709229,"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"}},{"id":"https://openalex.org/T10142","display_name":"Formal Methods in Verification","score":0.9941999912261963,"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/automaton","display_name":"Automaton","score":0.521232008934021},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5005815029144287},{"id":"https://openalex.org/keywords/determinacy","display_name":"Determinacy","score":0.46395865082740784},{"id":"https://openalex.org/keywords/quotient","display_name":"Quotient","score":0.41771283745765686},{"id":"https://openalex.org/keywords/finite-state-machine","display_name":"Finite-state machine","score":0.4141908288002014},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3945084810256958},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3674478530883789},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.36567455530166626},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.20553824305534363},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.1613980233669281}],"concepts":[{"id":"https://openalex.org/C112505250","wikidata":"https://www.wikidata.org/wiki/Q787116","display_name":"Automaton","level":2,"score":0.521232008934021},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5005815029144287},{"id":"https://openalex.org/C58468513","wikidata":"https://www.wikidata.org/wiki/Q1201165","display_name":"Determinacy","level":2,"score":0.46395865082740784},{"id":"https://openalex.org/C199422724","wikidata":"https://www.wikidata.org/wiki/Q41118","display_name":"Quotient","level":2,"score":0.41771283745765686},{"id":"https://openalex.org/C167822520","wikidata":"https://www.wikidata.org/wiki/Q176452","display_name":"Finite-state machine","level":2,"score":0.4141908288002014},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3945084810256958},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3674478530883789},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.36567455530166626},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.20553824305534363},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.1613980233669281},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.3233/fi-242194","is_oa":false,"landing_page_url":"https://doi.org/10.3233/fi-242194","pdf_url":null,"source":{"id":"https://openalex.org/S39012697","display_name":"Fundamenta Informaticae","issn_l":"0169-2968","issn":["0169-2968","1875-8681"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310318577","host_organization_name":"IOS Press","host_organization_lineage":["https://openalex.org/P4310318577"],"host_organization_lineage_names":["IOS Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Fundamenta Informaticae","raw_type":"journal-article"},{"id":"pmh:oai:HAL:hal-04872102v1","is_oa":false,"landing_page_url":"https://hal.science/hal-04872102","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":"Fundamenta Informaticae, 2024, 192 (3-4), pp.219-259. ⟨10.3233/FI-242194⟩","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/4","display_name":"Quality Education","score":0.4099999964237213}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W2508541108","https://openalex.org/W4242459863","https://openalex.org/W1480528870","https://openalex.org/W127357700","https://openalex.org/W4243191745","https://openalex.org/W2724597727","https://openalex.org/W2315419748","https://openalex.org/W4312340169","https://openalex.org/W1029445510"],"abstract_inverted_index":{"We":[0,41],"establish":[1],"a":[2,12,65],"Myhill-Nerode":[3,85],"type":[4],"theorem":[5],"for":[6,90],"higher-dimensional":[7],"automata":[8,28],"(HDAs),":[9],"stating":[10],"that":[11,48,54,60],"language":[13],"is":[14],"regular":[15,58],"if":[16,19],"and":[17,39,46,87],"only":[18],"it":[20,33],"has":[21],"finite":[22],"prefix":[23],"quotient.":[24],"HDAs":[25,45,51,91],"extend":[26],"standard":[27],"with":[29,92],"additional":[30],"structure,":[31],"making":[32],"possible":[34],"to":[35],"distinguish":[36],"between":[37],"interleavings":[38],"concurrency.":[40],"also":[42],"introduce":[43],"deterministic":[44,66,77],"show":[47],"not":[49],"all":[50],"are":[52],"determinizable,":[53],"is,":[55],"there":[56],"exist":[57],"languages":[59],"cannot":[61],"be":[62],"recognised":[63],"by":[64],"HDA.":[67],"Using":[68],"our":[69],"theorem,":[70],"we":[71,80],"develop":[72,81],"an":[73],"internal":[74],"characterisation":[75],"of":[76,83,88],"languages.":[78],"Lastly,":[79],"analogues":[82],"the":[84],"construction":[86],"determinacy":[89],"interfaces.":[93]},"counts_by_year":[{"year":2025,"cited_by_count":2}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}