{"id":"https://openalex.org/W2024901060","doi":"https://doi.org/10.1137/s0097539798332518","title":"Exponential Determinization for \u03c9\u2010Automata with a Strong Fairness Acceptance Condition","display_name":"Exponential Determinization for \u03c9\u2010Automata with a Strong Fairness Acceptance Condition","publication_year":2006,"publication_date":"2006-01-01","ids":{"openalex":"https://openalex.org/W2024901060","doi":"https://doi.org/10.1137/s0097539798332518","mag":"2024901060"},"language":"en","primary_location":{"id":"doi:10.1137/s0097539798332518","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s0097539798332518","pdf_url":null,"source":{"id":"https://openalex.org/S153560523","display_name":"SIAM Journal on Computing","issn_l":"0097-5397","issn":["0097-5397","1095-7111"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Computing","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/A5007318528","display_name":"Muli Safra","orcid":"https://orcid.org/0000-0002-5022-7727"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Shmuel Safra","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5007318528"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.11209374,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"36","issue":"3","first_page":"803","last_page":"814"},"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/T10142","display_name":"Formal Methods in Verification","score":0.9973999857902527,"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/T12072","display_name":"Machine Learning and Algorithms","score":0.9929999709129333,"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/automaton","display_name":"Automaton","score":0.8304766416549683},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6378678679466248},{"id":"https://openalex.org/keywords/exponential-function","display_name":"Exponential function","score":0.5912425518035889},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.4635464549064636},{"id":"https://openalex.org/keywords/\u03c9-automaton","display_name":"\u03c9-automaton","score":0.4629351496696472},{"id":"https://openalex.org/keywords/b\u00fcchi-automaton","display_name":"B\u00fcchi automaton","score":0.4541461169719696},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.45113784074783325},{"id":"https://openalex.org/keywords/automata-theory","display_name":"Automata theory","score":0.4490443766117096},{"id":"https://openalex.org/keywords/finite-state-machine","display_name":"Finite-state machine","score":0.41227757930755615},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4109418988227844},{"id":"https://openalex.org/keywords/deterministic-automaton","display_name":"Deterministic automaton","score":0.36979079246520996},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3083513081073761},{"id":"https://openalex.org/keywords/quantum-finite-automata","display_name":"Quantum finite automata","score":0.30558013916015625},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2375156581401825},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.11616423726081848}],"concepts":[{"id":"https://openalex.org/C112505250","wikidata":"https://www.wikidata.org/wiki/Q787116","display_name":"Automaton","level":2,"score":0.8304766416549683},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6378678679466248},{"id":"https://openalex.org/C151376022","wikidata":"https://www.wikidata.org/wiki/Q168698","display_name":"Exponential function","level":2,"score":0.5912425518035889},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.4635464549064636},{"id":"https://openalex.org/C92710233","wikidata":"https://www.wikidata.org/wiki/Q291256","display_name":"\u03c9-automaton","level":5,"score":0.4629351496696472},{"id":"https://openalex.org/C165753454","wikidata":"https://www.wikidata.org/wiki/Q1020380","display_name":"B\u00fcchi automaton","level":4,"score":0.4541461169719696},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.45113784074783325},{"id":"https://openalex.org/C116248031","wikidata":"https://www.wikidata.org/wiki/Q214526","display_name":"Automata theory","level":3,"score":0.4490443766117096},{"id":"https://openalex.org/C167822520","wikidata":"https://www.wikidata.org/wiki/Q176452","display_name":"Finite-state machine","level":2,"score":0.41227757930755615},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4109418988227844},{"id":"https://openalex.org/C194525867","wikidata":"https://www.wikidata.org/wiki/Q5265707","display_name":"Deterministic automaton","level":3,"score":0.36979079246520996},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3083513081073761},{"id":"https://openalex.org/C174327141","wikidata":"https://www.wikidata.org/wiki/Q176837","display_name":"Quantum finite automata","level":4,"score":0.30558013916015625},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2375156581401825},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.11616423726081848},{"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:10.1137/s0097539798332518","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s0097539798332518","pdf_url":null,"source":{"id":"https://openalex.org/S153560523","display_name":"SIAM Journal on Computing","issn_l":"0097-5397","issn":["0097-5397","1095-7111"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Computing","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.34.7569","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.34.7569","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.math.tau.ac.il/~safra/PapersAndTalks/dsa.ps","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Peace, Justice and strong institutions","score":0.7099999785423279,"id":"https://metadata.un.org/sdg/16"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":7,"referenced_works":["https://openalex.org/W1964845238","https://openalex.org/W1976773489","https://openalex.org/W2033071128","https://openalex.org/W2072887965","https://openalex.org/W2094912129","https://openalex.org/W2156298586","https://openalex.org/W4212901716"],"related_works":["https://openalex.org/W2090058024","https://openalex.org/W1494424737","https://openalex.org/W1576523092","https://openalex.org/W1570288637","https://openalex.org/W2010588138","https://openalex.org/W4212875940","https://openalex.org/W1983100634","https://openalex.org/W2086344316","https://openalex.org/W1523366072","https://openalex.org/W131394547"],"abstract_inverted_index":{"In":[0,97,198],"[S.":[1],"Safra,":[2],"Proceedings":[3,42,64],"of":[4,11,32,43,50,65,72,84,88,104,108,120,123,127,132,157,162,178,181,202,258,276,296,307],"the":[5,44,66,102,118,121,155,163,176,179,200,207,210,228,272,300],"29th":[6,45],"IEEE":[7,46],"Symposium":[8,47,69],"on":[9,48,70],"Foundations":[10,49],"Computer":[12,51,90],"Science,":[13,52,91],"1988,":[14,53],"pp.":[15,54,75,95],"319\u2013327]":[16],"an":[17,115,138,150,191,289],"exponential":[18,151,168,192,236],"determinization":[19,105,122,180,193,237],"procedure":[20,251],"for":[21,29,195,216,256,274],"Buchi":[22,217,297],"automata":[23,183,284,298],"was":[24,110],"shown,":[25],"yielding":[26],"tight":[27],"bounds":[28],"decision":[30],"procedures":[31],"some":[33],"logics":[34],"(see":[35],"[A.":[36],"E.":[37],"Emerson":[38],"and":[39,60,77,80,99,106,144],"C.":[40],"Jutla,":[41],"328\u2013337;":[55],"Safra":[56,59,98,143,214],"(1988);":[57],"S.":[58],"M.":[61],"Y.":[62],"Vardi,":[63],"21st":[67],"ACM":[68],"Theory":[71],"Computing,":[73],"1989,":[74],"127\u2013137;":[76],"D.":[78],"Kozen":[79],"J.":[81],"Tiuryn,":[82],"Logics":[83],"program,":[85],"in":[86,213,271],"Handbook":[87],"Theoretical":[89],"Elsevier,":[92],"Amsterdam,":[93],"1990,":[94],"789\u2013840]).":[96],"Vardi":[100,145],"(1989)":[101,146],"complexity":[103,119,201,211],"complementation":[107,152,229],"\u03c9\u2010automata":[109,133],"further":[111],"investigated,":[112],"leaving":[113],"as":[114,137,209,288],"open":[116],"question":[117],"a":[124,220,243,249,268],"single":[125,250],"class":[126,131],"\u03c9\u2010automata.":[128],"For":[129],"this":[130,224,262],"with":[134],"strong":[135,286],"fairness":[136,287],"acceptance":[139,290,302],"condition":[140],"(Streett":[141],"automata),":[142],"managed":[147],"to":[148,166,227,267],"show":[149],"procedure;":[153],"however,":[154],"blow\u2010up":[156,177],"translating":[158],"these":[159,259,277],"automata\u2014to":[160],"any":[161,232,305],"classes":[164],"known":[165],"admit":[167],"determinization\u2014is":[169],"inherently":[170,185],"exponential.":[171,187],"This":[172,188],"might":[173],"suggest":[174],"that":[175,234,252,282],"Streett":[182,196,244,283],"is":[184,205,264],"doubly":[186],"paper":[189],"shows":[190],"construction":[194,204,263],"automata.":[197,218],"fact,":[199],"our":[203],"roughly":[206],"same":[208],"achieved":[212],"(1988)":[215],"Moreover,":[219],"simple":[221],"observation":[222],"extends":[223],"upper":[225],"bound":[226],"problem.":[230],"Since":[231],"\u03c9\u2010automaton":[233],"admits":[235],"can":[238,253,292],"be":[239,254,293],"easily":[240],"converted":[241],"into":[242],"automaton,":[245],"we":[246],"have":[247],"obtained":[248],"used":[255,294],"all":[257,275],"conversions.":[260,278],"Furthermore,":[261],"optimal":[265],"(up":[266],"constant":[269],"factor":[270],"exponent)":[273],"Our":[279],"results":[280],"imply":[281],"(with":[285,299],"condition)":[291,303],"instead":[295],"weaker":[301],"without":[304],"loss":[306],"efficiency.":[308]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2014,"cited_by_count":1}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}