{"id":"https://openalex.org/W3173429172","doi":"https://doi.org/10.1109/lics52264.2021.9470634","title":"Orbit-Finite-Dimensional Vector Spaces and Weighted Register Automata","display_name":"Orbit-Finite-Dimensional Vector Spaces and Weighted Register Automata","publication_year":2021,"publication_date":"2021-06-29","ids":{"openalex":"https://openalex.org/W3173429172","doi":"https://doi.org/10.1109/lics52264.2021.9470634","mag":"3173429172"},"language":"en","primary_location":{"id":"doi:10.1109/lics52264.2021.9470634","is_oa":false,"landing_page_url":"https://doi.org/10.1109/lics52264.2021.9470634","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2021 36th Annual ACM/IEEE Symposium on Logic in Computer Science (LICS)","raw_type":"proceedings-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/A5050056333","display_name":"Miko\u0142aj Boja\u0144czyk","orcid":"https://orcid.org/0000-0002-7758-1072"},"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":"Mikolaj Bojanczyk","raw_affiliation_strings":["University of Warsaw"],"affiliations":[{"raw_affiliation_string":"University of Warsaw","institution_ids":["https://openalex.org/I4654613"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5025346659","display_name":"Bartek Klin","orcid":"https://orcid.org/0000-0001-5793-7425"},"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":false,"raw_author_name":"Bartek Klin","raw_affiliation_strings":["University of Warsaw"],"affiliations":[{"raw_affiliation_string":"University of Warsaw","institution_ids":["https://openalex.org/I4654613"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5058957702","display_name":"Joshua Moerman","orcid":"https://orcid.org/0000-0001-9819-8374"},"institutions":[{"id":"https://openalex.org/I887968799","display_name":"RWTH Aachen University","ror":"https://ror.org/04xfq0f34","country_code":"DE","type":"education","lineage":["https://openalex.org/I887968799"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Joshua Moerman","raw_affiliation_strings":["RWTH Aachen"],"affiliations":[{"raw_affiliation_string":"RWTH Aachen","institution_ids":["https://openalex.org/I887968799"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5050056333"],"corresponding_institution_ids":["https://openalex.org/I4654613"],"apc_list":null,"apc_paid":null,"fwci":0.7399,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.74740151,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":null,"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/T12029","display_name":"DNA and Biological Computing","score":0.998199999332428,"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/T12072","display_name":"Machine Learning and Algorithms","score":0.9966999888420105,"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/quantum-finite-automata","display_name":"Quantum finite automata","score":0.7747235894203186},{"id":"https://openalex.org/keywords/equivalence","display_name":"Equivalence (formal languages)","score":0.6681869029998779},{"id":"https://openalex.org/keywords/automaton","display_name":"Automaton","score":0.6238865852355957},{"id":"https://openalex.org/keywords/finite-state-machine","display_name":"Finite-state machine","score":0.5742397308349609},{"id":"https://openalex.org/keywords/nested-word","display_name":"Nested word","score":0.573701024055481},{"id":"https://openalex.org/keywords/generalization","display_name":"Generalization","score":0.5586453676223755},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.5516228079795837},{"id":"https://openalex.org/keywords/automata-theory","display_name":"Automata theory","score":0.5454407930374146},{"id":"https://openalex.org/keywords/\u03c9-automaton","display_name":"\u03c9-automaton","score":0.51983243227005},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4735549986362457},{"id":"https://openalex.org/keywords/continuous-spatial-automaton","display_name":"Continuous spatial automaton","score":0.472754567861557},{"id":"https://openalex.org/keywords/vector-space","display_name":"Vector space","score":0.4545854330062866},{"id":"https://openalex.org/keywords/exponential-function","display_name":"Exponential function","score":0.43969565629959106},{"id":"https://openalex.org/keywords/regular-language","display_name":"Regular language","score":0.43709713220596313},{"id":"https://openalex.org/keywords/time-complexity","display_name":"Time complexity","score":0.4173118472099304},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4163219928741455},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.33485448360443115},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.32176440954208374},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.1715080738067627}],"concepts":[{"id":"https://openalex.org/C174327141","wikidata":"https://www.wikidata.org/wiki/Q176837","display_name":"Quantum finite automata","level":4,"score":0.7747235894203186},{"id":"https://openalex.org/C2780069185","wikidata":"https://www.wikidata.org/wiki/Q7977945","display_name":"Equivalence (formal languages)","level":2,"score":0.6681869029998779},{"id":"https://openalex.org/C112505250","wikidata":"https://www.wikidata.org/wiki/Q787116","display_name":"Automaton","level":2,"score":0.6238865852355957},{"id":"https://openalex.org/C167822520","wikidata":"https://www.wikidata.org/wiki/Q176452","display_name":"Finite-state machine","level":2,"score":0.5742397308349609},{"id":"https://openalex.org/C92117001","wikidata":"https://www.wikidata.org/wiki/Q6997829","display_name":"Nested word","level":5,"score":0.573701024055481},{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.5586453676223755},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.5516228079795837},{"id":"https://openalex.org/C116248031","wikidata":"https://www.wikidata.org/wiki/Q214526","display_name":"Automata theory","level":3,"score":0.5454407930374146},{"id":"https://openalex.org/C92710233","wikidata":"https://www.wikidata.org/wiki/Q291256","display_name":"\u03c9-automaton","level":5,"score":0.51983243227005},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4735549986362457},{"id":"https://openalex.org/C75745568","wikidata":"https://www.wikidata.org/wiki/Q5165519","display_name":"Continuous spatial automaton","level":5,"score":0.472754567861557},{"id":"https://openalex.org/C13336665","wikidata":"https://www.wikidata.org/wiki/Q125977","display_name":"Vector space","level":2,"score":0.4545854330062866},{"id":"https://openalex.org/C151376022","wikidata":"https://www.wikidata.org/wiki/Q168698","display_name":"Exponential function","level":2,"score":0.43969565629959106},{"id":"https://openalex.org/C52370388","wikidata":"https://www.wikidata.org/wiki/Q752532","display_name":"Regular language","level":3,"score":0.43709713220596313},{"id":"https://openalex.org/C311688","wikidata":"https://www.wikidata.org/wiki/Q2393193","display_name":"Time complexity","level":2,"score":0.4173118472099304},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4163219928741455},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.33485448360443115},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.32176440954208374},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.1715080738067627},{"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:10.1109/lics52264.2021.9470634","is_oa":false,"landing_page_url":"https://doi.org/10.1109/lics52264.2021.9470634","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2021 36th Annual ACM/IEEE Symposium on Logic in Computer Science (LICS)","raw_type":"proceedings-article"},{"id":"pmh:ou:oai:research.ou.nl:publications/22ebd6c5-c6b0-4207-b730-90afcd7189a7","is_oa":false,"landing_page_url":"https://research.ou.nl/en/publications/22ebd6c5-c6b0-4207-b730-90afcd7189a7","pdf_url":null,"source":{"id":"https://openalex.org/S4306401843","display_name":"Data Archiving and Networked Services (DANS)","issn_l":null,"issn":null,"is_oa":false,"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":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"2021 36th Annual ACM/IEEE Symposium on Logic in Computer Science (LICS), 1 - 13","raw_type":"info:eu-repo/semantics/conferencepaper"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/16","display_name":"Peace, Justice and strong institutions","score":0.5099999904632568}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":20,"referenced_works":["https://openalex.org/W1108093586","https://openalex.org/W1497067119","https://openalex.org/W1984151763","https://openalex.org/W2041192515","https://openalex.org/W2052142572","https://openalex.org/W2056665285","https://openalex.org/W2063209591","https://openalex.org/W2081396910","https://openalex.org/W2295721640","https://openalex.org/W2947201609","https://openalex.org/W2949150278","https://openalex.org/W3102942001","https://openalex.org/W3103813054","https://openalex.org/W3127643424","https://openalex.org/W3138415507","https://openalex.org/W4205631314","https://openalex.org/W4237892526","https://openalex.org/W6754618732","https://openalex.org/W6763303345","https://openalex.org/W6790362935"],"related_works":["https://openalex.org/W4386400090","https://openalex.org/W4297362790","https://openalex.org/W2950632552","https://openalex.org/W2066393902","https://openalex.org/W2321667159","https://openalex.org/W277366380","https://openalex.org/W1486029244","https://openalex.org/W1978638999","https://openalex.org/W1975910189","https://openalex.org/W1993598446"],"abstract_inverted_index":{"We":[0],"develop":[1],"a":[2,16,50,56],"theory":[3],"of":[4,21,30,53],"vector":[5],"spaces":[6],"spanned":[7],"by":[8],"orbit-finite":[9],"sets.":[10],"Using":[11],"this":[12],"theory,":[13],"we":[14,59,80,99],"give":[15],"decision":[17],"procedure":[18],"for":[19,36,49,68,82],"equivalence":[20,67],"weighted":[22,31],"register":[23,34,70],"automata,":[24,71],"which":[25,72],"are":[26],"the":[27,63,92],"common":[28],"generalization":[29],"automata":[32,35,101],"and":[33,45,87,97],"infinite":[37],"alphabets.":[38],"The":[39],"algorithm":[40],"runs":[41],"in":[42,46,76],"exponential":[43],"time,":[44],"polynomial":[47],"time":[48],"fixed":[51],"number":[52],"registers.":[54],"As":[55],"special":[57],"case,":[58],"can":[60],"decide,":[61],"with":[62,102],"same":[64],"complexity,":[65],"language":[66],"unambiguous":[69],"improves":[73],"previous":[74],"results":[75],"three":[77],"ways:":[78],"(a)":[79],"allow":[81,100],"order":[83],"comparisons":[84],"on":[85],"atoms,":[86],"not":[88],"just":[89],"equality;":[90],"(b)":[91],"complexity":[93],"is":[94],"exponentially":[95],"better;":[96],"(c)":[98],"guessing.":[103]},"counts_by_year":[{"year":2024,"cited_by_count":3},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}