{"id":"https://openalex.org/W2345697090","doi":"https://doi.org/10.1142/s0129054116400025","title":"Average Case Analysis of Brzozowski's Algorithm","display_name":"Average Case Analysis of Brzozowski's Algorithm","publication_year":2016,"publication_date":"2016-02-01","ids":{"openalex":"https://openalex.org/W2345697090","doi":"https://doi.org/10.1142/s0129054116400025","mag":"2345697090"},"language":"en","primary_location":{"id":"doi:10.1142/s0129054116400025","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0129054116400025","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/A5066625074","display_name":"Sven De Felice","orcid":null},"institutions":[{"id":"https://openalex.org/I169173203","display_name":"D\u00e9l\u00e9gation Paris 7","ror":"https://ror.org/00bw5n526","country_code":"FR","type":"government","lineage":["https://openalex.org/I154526488","https://openalex.org/I169173203"]},{"id":"https://openalex.org/I4210094115","display_name":"Laboratoire d'Informatique Algorithmique: Fondements et Applications","ror":"https://ror.org/00pbqgm18","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I204730241","https://openalex.org/I4210094115","https://openalex.org/I4210159245"]},{"id":"https://openalex.org/I204730241","display_name":"Universit\u00e9 Paris Cit\u00e9","ror":"https://ror.org/05f82e368","country_code":"FR","type":"education","lineage":["https://openalex.org/I204730241"]},{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"funder","lineage":["https://openalex.org/I1294671590"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Sven De Felice","raw_affiliation_strings":["LIAFA, Universit\u00e9 Paris Diderot - Paris 7 & CNRS UMR 7089, F-75205, Paris, France"],"affiliations":[{"raw_affiliation_string":"LIAFA, Universit\u00e9 Paris Diderot - Paris 7 & CNRS UMR 7089, F-75205, Paris, France","institution_ids":["https://openalex.org/I169173203","https://openalex.org/I4210094115","https://openalex.org/I204730241","https://openalex.org/I1294671590"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5042055476","display_name":"Cyril Nicaud","orcid":"https://orcid.org/0000-0002-8770-0119"},"institutions":[{"id":"https://openalex.org/I4210152518","display_name":"Laboratoire d'Informatique Gaspard-Monge","ror":"https://ror.org/04t50yk91","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I142631665","https://openalex.org/I4210145102","https://openalex.org/I4210152518","https://openalex.org/I4210154111","https://openalex.org/I4210159245"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Cyril Nicaud","raw_affiliation_strings":["Universit\u00e9 Paris-Est, LIGM (UMR 8049), UPEMLV, F-77454, Marne-la-Vall\u00e9e, France"],"affiliations":[{"raw_affiliation_string":"Universit\u00e9 Paris-Est, LIGM (UMR 8049), UPEMLV, F-77454, Marne-la-Vall\u00e9e, France","institution_ids":["https://openalex.org/I4210152518"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5066625074"],"corresponding_institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I169173203","https://openalex.org/I204730241","https://openalex.org/I4210094115"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.04459727,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"27","issue":"02","first_page":"109","last_page":"126"},"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/T10948","display_name":"Advanced Combinatorial Mathematics","score":0.9994999766349792,"subfield":{"id":"https://openalex.org/subfields/2607","display_name":"Discrete Mathematics and Combinatorics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11727","display_name":"Advanced Algebra and Logic","score":0.9987999796867371,"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/time-complexity","display_name":"Time complexity","score":0.5989757776260376},{"id":"https://openalex.org/keywords/automaton","display_name":"Automaton","score":0.5967569947242737},{"id":"https://openalex.org/keywords/dfa-minimization","display_name":"DFA minimization","score":0.5911505818367004},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5474888682365417},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5030009150505066},{"id":"https://openalex.org/keywords/minification","display_name":"Minification","score":0.46710577607154846},{"id":"https://openalex.org/keywords/state","display_name":"State (computer science)","score":0.46146920323371887},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.41845622658729553},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3843408524990082},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.33967339992523193},{"id":"https://openalex.org/keywords/quantum-finite-automata","display_name":"Quantum finite automata","score":0.26552659273147583},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.1922752857208252},{"id":"https://openalex.org/keywords/automata-theory","display_name":"Automata theory","score":0.18974781036376953},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.17284926772117615}],"concepts":[{"id":"https://openalex.org/C311688","wikidata":"https://www.wikidata.org/wiki/Q2393193","display_name":"Time complexity","level":2,"score":0.5989757776260376},{"id":"https://openalex.org/C112505250","wikidata":"https://www.wikidata.org/wiki/Q787116","display_name":"Automaton","level":2,"score":0.5967569947242737},{"id":"https://openalex.org/C65753522","wikidata":"https://www.wikidata.org/wiki/Q5204896","display_name":"DFA minimization","level":5,"score":0.5911505818367004},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5474888682365417},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5030009150505066},{"id":"https://openalex.org/C147764199","wikidata":"https://www.wikidata.org/wiki/Q6865248","display_name":"Minification","level":2,"score":0.46710577607154846},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.46146920323371887},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.41845622658729553},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3843408524990082},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.33967339992523193},{"id":"https://openalex.org/C174327141","wikidata":"https://www.wikidata.org/wiki/Q176837","display_name":"Quantum finite automata","level":4,"score":0.26552659273147583},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.1922752857208252},{"id":"https://openalex.org/C116248031","wikidata":"https://www.wikidata.org/wiki/Q214526","display_name":"Automata theory","level":3,"score":0.18974781036376953},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.17284926772117615}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1142/s0129054116400025","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0129054116400025","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"},{"id":"pmh:oai:HAL:hal-01772820v1","is_oa":false,"landing_page_url":"https://hal.science/hal-01772820","pdf_url":null,"source":{"id":"https://openalex.org/S4406922466","display_name":"SPIRE - Sciences Po Institutional REpository","issn_l":null,"issn":null,"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":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"International Journal of Foundations of Computer Science, 2016, 27 (02), pp.109-126. ⟨10.1142/S0129054116400025⟩","raw_type":"Journal articles"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320320883","display_name":"Agence Nationale de la Recherche","ror":"https://ror.org/00rbzpz17"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":3,"referenced_works":["https://openalex.org/W1922988946","https://openalex.org/W2074847588","https://openalex.org/W2088285637"],"related_works":["https://openalex.org/W1500848375","https://openalex.org/W2155192172","https://openalex.org/W1971979548","https://openalex.org/W2147441235","https://openalex.org/W2076634344","https://openalex.org/W2350141075","https://openalex.org/W2043268408","https://openalex.org/W2075835272","https://openalex.org/W2025253173","https://openalex.org/W2315419748"],"abstract_inverted_index":{"We":[0,21],"analyze":[1],"the":[2,26,29,32,57,66],"average":[3,33],"complexity":[4,34],"of":[5,11,18,28,60,68],"Brzozowski's":[6],"minimization":[7],"algorithm":[8],"for":[9,54],"distributions":[10,55],"deterministic":[12,42],"automata":[13,43],"with":[14,44],"a":[15],"small":[16],"number":[17,59,67],"final":[19,47,61],"states.":[20,69],"show":[22],"that,":[23],"as":[24],"in":[25,65],"case":[27],"uniform":[30],"distribution,":[31],"is":[35],"super-polynomial":[36],"even":[37],"if":[38],"we":[39],"consider":[40],"random":[41],"only":[45,52],"one":[46],"state.":[48],"Such":[49],"results":[50],"were":[51],"known":[53],"where":[56],"expected":[58],"states":[62],"was":[63],"linear":[64]},"counts_by_year":[],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}