{"id":"https://openalex.org/W1584816107","doi":"https://doi.org/10.25596/jalc-2000-235","title":"On a Family of Nondeterministic Finite Automata","display_name":"On a Family of Nondeterministic Finite Automata","publication_year":2000,"publication_date":"2000-01-01","ids":{"openalex":"https://openalex.org/W1584816107","doi":"https://doi.org/10.25596/jalc-2000-235","mag":"1584816107"},"language":"en","primary_location":{"id":"doi:10.25596/jalc-2000-235","is_oa":true,"landing_page_url":"https://doi.org/10.25596/jalc-2000-235","pdf_url":null,"source":{"id":"https://openalex.org/S7407052944","display_name":"Justus-Liebig-Universit\u00e4t Gie\u00dfen","issn_l":null,"issn":[],"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":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article-journal"},"type":"article","indexed_in":["datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://doi.org/10.25596/jalc-2000-235","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5102046996","display_name":"Hing Leung","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Leung, Hing","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5102046996"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.08608344,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"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":0.9987000226974487,"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":0.9987000226974487,"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":0.9909999966621399,"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":0.98089998960495,"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/nondeterministic-finite-automaton","display_name":"Nondeterministic finite automaton","score":0.7065927386283875},{"id":"https://openalex.org/keywords/nondeterministic-algorithm","display_name":"Nondeterministic algorithm","score":0.6824727058410645},{"id":"https://openalex.org/keywords/deterministic-finite-automaton","display_name":"Deterministic finite automaton","score":0.4868239760398865},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4798371493816376},{"id":"https://openalex.org/keywords/automaton","display_name":"Automaton","score":0.43128615617752075},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3982645273208618},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3413669764995575},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.31791847944259644},{"id":"https://openalex.org/keywords/automata-theory","display_name":"Automata theory","score":0.23699843883514404}],"concepts":[{"id":"https://openalex.org/C158008952","wikidata":"https://www.wikidata.org/wiki/Q617295","display_name":"Nondeterministic finite automaton","level":4,"score":0.7065927386283875},{"id":"https://openalex.org/C176181172","wikidata":"https://www.wikidata.org/wiki/Q3490301","display_name":"Nondeterministic algorithm","level":2,"score":0.6824727058410645},{"id":"https://openalex.org/C104091681","wikidata":"https://www.wikidata.org/wiki/Q837528","display_name":"Deterministic finite automaton","level":3,"score":0.4868239760398865},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4798371493816376},{"id":"https://openalex.org/C112505250","wikidata":"https://www.wikidata.org/wiki/Q787116","display_name":"Automaton","level":2,"score":0.43128615617752075},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3982645273208618},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3413669764995575},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.31791847944259644},{"id":"https://openalex.org/C116248031","wikidata":"https://www.wikidata.org/wiki/Q214526","display_name":"Automata theory","level":3,"score":0.23699843883514404}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.25596/jalc-2000-235","is_oa":true,"landing_page_url":"https://doi.org/10.25596/jalc-2000-235","pdf_url":null,"source":{"id":"https://openalex.org/S7407052944","display_name":"Justus-Liebig-Universit\u00e4t Gie\u00dfen","issn_l":null,"issn":[],"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":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article-journal"}],"best_oa_location":{"id":"doi:10.25596/jalc-2000-235","is_oa":true,"landing_page_url":"https://doi.org/10.25596/jalc-2000-235","pdf_url":null,"source":{"id":"https://openalex.org/S7407052944","display_name":"Justus-Liebig-Universit\u00e4t Gie\u00dfen","issn_l":null,"issn":[],"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":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article-journal"},"sustainable_development_goals":[{"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10","score":0.6800000071525574}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W1579874425","https://openalex.org/W3184827990","https://openalex.org/W1843639509","https://openalex.org/W1663309610","https://openalex.org/W23998349","https://openalex.org/W2482365960","https://openalex.org/W2616435227","https://openalex.org/W1744386493","https://openalex.org/W2808323406","https://openalex.org/W2506130805","https://openalex.org/W3003642666","https://openalex.org/W1569273857","https://openalex.org/W2898008473","https://openalex.org/W2011027987","https://openalex.org/W336397984","https://openalex.org/W76234803","https://openalex.org/W2077450865","https://openalex.org/W2400859794","https://openalex.org/W2336253291","https://openalex.org/W1639750162"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3],"study":[4],"the":[5,28,37,64,73],"succinctness":[6],"properties":[7],"of":[8,11,100],"a":[9,19],"family":[10,65],"one-way":[12],"$n$-state":[13],"nondeterministic":[14,42],"finite":[15,32,43,93],"automata":[16],"$A_n$":[17,66],"over":[18],"two-letter":[20],"alphabet.":[21],"It":[22],"is":[23,80],"shown":[24],"([4],":[25],"[5])":[26],"that":[27,63,72],"smallest":[29,38],"equivalent":[30,39,52,90],"deterministic":[31,92],"automaton":[33,44,55,94],"has":[34,45,56],"$2^n$":[35,59],"states,":[36,49],"polynomially":[40],"ambiguous":[41],"$2^n":[46],"-":[47],"1$":[48],"and":[50,88],"any":[51,89],"nondegenerate":[53],"sweeping":[54],"at":[57],"least":[58],"states.":[60,101],"We":[61],"conjecture":[62],"can":[67],"be":[68],"used":[69],"to":[70],"show":[71],"complexity":[74],"class":[75],"L":[76],"(deterministic":[77],"logarithmic":[78,86],"space)":[79],"properly":[81],"contained":[82],"in":[83],"NL":[84],"(nondeterministic":[85],"space),":[87],"two-way":[91],"would":[95],"require":[96],"an":[97],"exponential":[98],"number":[99]},"counts_by_year":[],"updated_date":"2025-11-06T06:51:31.235846","created_date":"2016-06-24T00:00:00"}