{"id":"https://openalex.org/W2888233883","doi":"https://doi.org/10.1142/s012905411842008x","title":"Operations on Unambiguous Finite Automata","display_name":"Operations on Unambiguous Finite Automata","publication_year":2018,"publication_date":"2018-08-01","ids":{"openalex":"https://openalex.org/W2888233883","doi":"https://doi.org/10.1142/s012905411842008x","mag":"2888233883"},"language":"en","primary_location":{"id":"doi:10.1142/s012905411842008x","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s012905411842008x","pdf_url":null,"source":{"id":"https://openalex.org/S68047077","display_name":"International Journal of Foundations of Computer Science","issn_l":"0129-0541","issn":["0129-0541","1793-6373"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Foundations of Computer Science","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/A5056080636","display_name":"Jozef Jir\u00e1sek","orcid":"https://orcid.org/0000-0003-4822-230X"},"institutions":[{"id":"https://openalex.org/I32625721","display_name":"University of Saskatchewan","ror":"https://ror.org/010x8gc63","country_code":"CA","type":"education","lineage":["https://openalex.org/I32625721"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Jozef Jir\u00e1sek","raw_affiliation_strings":["Department of Computer Science, University of Saskatchewan, Saskatoon, SK S7N 5A9, Canada"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science, University of Saskatchewan, Saskatoon, SK S7N 5A9, Canada","institution_ids":["https://openalex.org/I32625721"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5012840795","display_name":"Galina Jir\u00e1skov\u00e1","orcid":"https://orcid.org/0000-0001-9817-8197"},"institutions":[{"id":"https://openalex.org/I207624831","display_name":"Slovak Academy of Sciences","ror":"https://ror.org/03h7qq074","country_code":"SK","type":"funder","lineage":["https://openalex.org/I207624831"]},{"id":"https://openalex.org/I4210120676","display_name":"Mathematical Institute of the Slovak Academy of Sciences","ror":"https://ror.org/02fhy7464","country_code":"SK","type":"facility","lineage":["https://openalex.org/I207624831","https://openalex.org/I4210120676"]}],"countries":["SK"],"is_corresponding":true,"raw_author_name":"Galina Jir\u00e1skov\u00e1","raw_affiliation_strings":["Mathematical Institute, Slovak Academy of Sciences, Gre\u0161\u00e1kova 6, 040 01 Ko\u0161ice, Slovakia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Mathematical Institute, Slovak Academy of Sciences, Gre\u0161\u00e1kova 6, 040 01 Ko\u0161ice, Slovakia","institution_ids":["https://openalex.org/I207624831","https://openalex.org/I4210120676"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5071368648","display_name":"Juraj \u0160ebej","orcid":"https://orcid.org/0009-0002-6501-1096"},"institutions":[{"id":"https://openalex.org/I204881574","display_name":"University of Pavol Jozef \u0160af\u00e1rik","ror":"https://ror.org/039965637","country_code":"SK","type":"education","lineage":["https://openalex.org/I204881574"]}],"countries":["SK"],"is_corresponding":false,"raw_author_name":"Juraj \u0160ebej","raw_affiliation_strings":["Institute of Computer Science, Faculty of Science, P. J. \u0160af\u00e1rik University, Jesenn\u00e1 5, 040 01 Ko\u0161ice, Slovakia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Computer Science, Faculty of Science, P. J. \u0160af\u00e1rik University, Jesenn\u00e1 5, 040 01 Ko\u0161ice, Slovakia","institution_ids":["https://openalex.org/I204881574"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5012840795"],"corresponding_institution_ids":["https://openalex.org/I207624831","https://openalex.org/I4210120676"],"apc_list":null,"apc_paid":null,"fwci":1.2822,"has_fulltext":false,"cited_by_count":15,"citation_normalized_percentile":{"value":0.82575502,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"29","issue":"05","first_page":"861","last_page":"876"},"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":0.9957000017166138,"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":0.9941999912261963,"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/concatenation","display_name":"Concatenation (mathematics)","score":0.6449873447418213},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6055350303649902},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5879925489425659},{"id":"https://openalex.org/keywords/nondeterministic-finite-automaton","display_name":"Nondeterministic finite automaton","score":0.5879015326499939},{"id":"https://openalex.org/keywords/quotient","display_name":"Quotient","score":0.5374562740325928},{"id":"https://openalex.org/keywords/closure","display_name":"Closure (psychology)","score":0.5092154741287231},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4945370852947235},{"id":"https://openalex.org/keywords/string","display_name":"String (physics)","score":0.4857335686683655},{"id":"https://openalex.org/keywords/regular-language","display_name":"Regular language","score":0.4819347858428955},{"id":"https://openalex.org/keywords/deterministic-finite-automaton","display_name":"Deterministic finite automaton","score":0.4659251868724823},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.4482104480266571},{"id":"https://openalex.org/keywords/alphabet","display_name":"Alphabet","score":0.4447018504142761},{"id":"https://openalex.org/keywords/finite-state-machine","display_name":"Finite-state machine","score":0.4304564297199249},{"id":"https://openalex.org/keywords/automaton","display_name":"Automaton","score":0.34217625856399536},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.18702757358551025},{"id":"https://openalex.org/keywords/automata-theory","display_name":"Automata theory","score":0.1607774794101715},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.113873690366745}],"concepts":[{"id":"https://openalex.org/C87619178","wikidata":"https://www.wikidata.org/wiki/Q126002","display_name":"Concatenation (mathematics)","level":2,"score":0.6449873447418213},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6055350303649902},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5879925489425659},{"id":"https://openalex.org/C158008952","wikidata":"https://www.wikidata.org/wiki/Q617295","display_name":"Nondeterministic finite automaton","level":4,"score":0.5879015326499939},{"id":"https://openalex.org/C199422724","wikidata":"https://www.wikidata.org/wiki/Q41118","display_name":"Quotient","level":2,"score":0.5374562740325928},{"id":"https://openalex.org/C146834321","wikidata":"https://www.wikidata.org/wiki/Q2979672","display_name":"Closure (psychology)","level":2,"score":0.5092154741287231},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4945370852947235},{"id":"https://openalex.org/C157486923","wikidata":"https://www.wikidata.org/wiki/Q1376436","display_name":"String (physics)","level":2,"score":0.4857335686683655},{"id":"https://openalex.org/C52370388","wikidata":"https://www.wikidata.org/wiki/Q752532","display_name":"Regular language","level":3,"score":0.4819347858428955},{"id":"https://openalex.org/C104091681","wikidata":"https://www.wikidata.org/wiki/Q837528","display_name":"Deterministic finite automaton","level":3,"score":0.4659251868724823},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.4482104480266571},{"id":"https://openalex.org/C112876837","wikidata":"https://www.wikidata.org/wiki/Q837518","display_name":"Alphabet","level":2,"score":0.4447018504142761},{"id":"https://openalex.org/C167822520","wikidata":"https://www.wikidata.org/wiki/Q176452","display_name":"Finite-state machine","level":2,"score":0.4304564297199249},{"id":"https://openalex.org/C112505250","wikidata":"https://www.wikidata.org/wiki/Q787116","display_name":"Automaton","level":2,"score":0.34217625856399536},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.18702757358551025},{"id":"https://openalex.org/C116248031","wikidata":"https://www.wikidata.org/wiki/Q214526","display_name":"Automata theory","level":3,"score":0.1607774794101715},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.113873690366745},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.0},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0},{"id":"https://openalex.org/C34447519","wikidata":"https://www.wikidata.org/wiki/Q179522","display_name":"Market economy","level":1,"score":0.0},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s012905411842008x","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s012905411842008x","pdf_url":null,"source":{"id":"https://openalex.org/S68047077","display_name":"International Journal of Foundations of Computer Science","issn_l":"0129-0541","issn":["0129-0541","1793-6373"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Foundations of Computer Science","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.46000000834465027,"id":"https://metadata.un.org/sdg/4","display_name":"Quality Education"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":16,"referenced_works":["https://openalex.org/W1970107546","https://openalex.org/W1975246937","https://openalex.org/W1991409518","https://openalex.org/W2006629323","https://openalex.org/W2008342226","https://openalex.org/W2011252827","https://openalex.org/W2025256949","https://openalex.org/W2050154914","https://openalex.org/W2057747677","https://openalex.org/W2059200976","https://openalex.org/W2063230375","https://openalex.org/W2072102045","https://openalex.org/W2079577017","https://openalex.org/W2080108335","https://openalex.org/W2082934005","https://openalex.org/W2093294649"],"related_works":["https://openalex.org/W1428391281","https://openalex.org/W2772918710","https://openalex.org/W2100711766","https://openalex.org/W1972592804","https://openalex.org/W2869710707","https://openalex.org/W3087272834","https://openalex.org/W2111868903","https://openalex.org/W2946585142","https://openalex.org/W2074221742","https://openalex.org/W1485984004"],"abstract_inverted_index":{"A":[0],"nondeterministic":[1],"finite":[2,32],"automaton":[3],"is":[4],"unambiguous":[5,31],"if":[6],"it":[7],"has":[8],"at":[9],"most":[10],"one":[11],"accepting":[12],"computation":[13],"on":[14,27],"every":[15],"input":[16],"string.":[17],"We":[18,34,122],"investigate":[19],"the":[20,111],"state":[21],"complexity":[22],"of":[23],"basic":[24],"regular":[25],"operations":[26],"languages":[28],"represented":[29],"by":[30],"automata.":[33],"get":[35,124],"tight":[36],"upper":[37,113],"bounds":[38],"for":[39,81,91,99,105,128],"reversal":[40],"([Formula:":[41,45,52,57,61,65,70],"see":[42,46,53,58,62,66,71,116,120],"text]),":[43,47,54,59,63,67],"intersection":[44,82],"left":[48,84],"and":[49,68,83,85,93,101,130],"right":[50,86],"quotients":[51],"positive":[55,94],"closure":[56],"star":[60,92],"shuffle":[64],"concatenation":[69],"text]).":[72],"To":[73],"prove":[74],"tightness,":[75],"we":[76,109],"use":[77],"a":[78,88,96,102],"binary":[79],"alphabet":[80,90,98,104],"quotients,":[87],"ternary":[89],"closure,":[95],"five-letter":[97],"shuffle,":[100],"seven-letter":[103],"concatenation.":[106],"For":[107],"complementation,":[108],"reduce":[110],"trivial":[112],"bound":[114],"[Formula:":[115,119],"text]":[117],"to":[118],"text].":[121],"also":[123],"some":[125],"partial":[126],"results":[127],"union":[129],"square.":[131]},"counts_by_year":[{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":4},{"year":2019,"cited_by_count":2}],"updated_date":"2026-04-27T08:22:11.395708","created_date":"2025-10-10T00:00:00"}