{"id":"https://openalex.org/W2056408123","doi":"https://doi.org/10.2168/lmcs-10(1:8)2014","title":"Separation Property for wB- and wS-regular Languages","display_name":"Separation Property for wB- and wS-regular Languages","publication_year":2014,"publication_date":"2014-02-12","ids":{"openalex":"https://openalex.org/W2056408123","doi":"https://doi.org/10.2168/lmcs-10(1:8)2014","mag":"2056408123"},"language":"en","primary_location":{"id":"doi:10.2168/lmcs-10(1:8)2014","is_oa":true,"landing_page_url":"https://doi.org/10.2168/lmcs-10(1:8)2014","pdf_url":"https://lmcs.episciences.org/1224/pdf","source":{"id":"https://openalex.org/S114379355","display_name":"Logical Methods in Computer Science","issn_l":"1860-5974","issn":["1860-5974"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310313916","host_organization_name":"Logical Methods in Computer Science e.V.","host_organization_lineage":["https://openalex.org/P4310313916"],"host_organization_lineage_names":["Logical Methods in Computer Science e.V."],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Logical Methods in Computer Science","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://lmcs.episciences.org/1224/pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5073562431","display_name":"Micha\u0142 Skrzypczak","orcid":"https://orcid.org/0000-0002-9647-4993"},"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":"Micha\u0142 Skrzypczak","raw_affiliation_strings":["Institute of Informatics, University of Warsaw, ul. Banacha 2, 02-097 Warsaw, Poland","University of Warsaw"],"affiliations":[{"raw_affiliation_string":"Institute of Informatics, University of Warsaw, ul. Banacha 2, 02-097 Warsaw, Poland","institution_ids":["https://openalex.org/I4654613"]},{"raw_affiliation_string":"University of Warsaw","institution_ids":["https://openalex.org/I4654613"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5073562431"],"corresponding_institution_ids":["https://openalex.org/I4654613"],"apc_list":null,"apc_paid":null,"fwci":1.4699,"has_fulltext":true,"cited_by_count":6,"citation_normalized_percentile":{"value":0.82554766,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"Volume 10, Issue 1","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/T12002","display_name":"Computability, Logic, AI Algorithms","score":0.9980000257492065,"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/T10126","display_name":"Logic, programming, and type systems","score":0.9939000010490417,"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/omega","display_name":"Omega","score":0.6366119384765625},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6363687515258789},{"id":"https://openalex.org/keywords/complement","display_name":"Complement (music)","score":0.6023535132408142},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4894965887069702},{"id":"https://openalex.org/keywords/regular-language","display_name":"Regular language","score":0.4226819574832916},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.40920859575271606},{"id":"https://openalex.org/keywords/automaton","display_name":"Automaton","score":0.23976927995681763},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.20401430130004883},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.08845877647399902},{"id":"https://openalex.org/keywords/linguistics","display_name":"Linguistics","score":0.0811576247215271}],"concepts":[{"id":"https://openalex.org/C2779557605","wikidata":"https://www.wikidata.org/wiki/Q9890","display_name":"Omega","level":2,"score":0.6366119384765625},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6363687515258789},{"id":"https://openalex.org/C112313634","wikidata":"https://www.wikidata.org/wiki/Q7886648","display_name":"Complement (music)","level":5,"score":0.6023535132408142},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4894965887069702},{"id":"https://openalex.org/C52370388","wikidata":"https://www.wikidata.org/wiki/Q752532","display_name":"Regular language","level":3,"score":0.4226819574832916},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.40920859575271606},{"id":"https://openalex.org/C112505250","wikidata":"https://www.wikidata.org/wiki/Q787116","display_name":"Automaton","level":2,"score":0.23976927995681763},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.20401430130004883},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.08845877647399902},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0811576247215271},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C188082640","wikidata":"https://www.wikidata.org/wiki/Q1780899","display_name":"Complementation","level":4,"score":0.0},{"id":"https://openalex.org/C127716648","wikidata":"https://www.wikidata.org/wiki/Q104053","display_name":"Phenotype","level":3,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","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}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.2168/lmcs-10(1:8)2014","is_oa":true,"landing_page_url":"https://doi.org/10.2168/lmcs-10(1:8)2014","pdf_url":"https://lmcs.episciences.org/1224/pdf","source":{"id":"https://openalex.org/S114379355","display_name":"Logical Methods in Computer Science","issn_l":"1860-5974","issn":["1860-5974"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310313916","host_organization_name":"Logical Methods in Computer Science e.V.","host_organization_lineage":["https://openalex.org/P4310313916"],"host_organization_lineage_names":["Logical Methods in Computer Science e.V."],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Logical Methods in Computer Science","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1401.3214","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1401.3214","pdf_url":"https://arxiv.org/pdf/1401.3214","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"pmh:oai:doaj.org/article:e5ad10fe02f5482a9d36ccc394edd079","is_oa":true,"landing_page_url":"https://doaj.org/article/e5ad10fe02f5482a9d36ccc394edd079","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Logical Methods in Computer Science, Vol Volume 10, Issue 1 (2014)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.2168/lmcs-10(1:8)2014","is_oa":true,"landing_page_url":"https://doi.org/10.2168/lmcs-10(1:8)2014","pdf_url":"https://lmcs.episciences.org/1224/pdf","source":{"id":"https://openalex.org/S114379355","display_name":"Logical Methods in Computer Science","issn_l":"1860-5974","issn":["1860-5974"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310313916","host_organization_name":"Logical Methods in Computer Science e.V.","host_organization_lineage":["https://openalex.org/P4310313916"],"host_organization_lineage_names":["Logical Methods in Computer Science e.V."],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Logical Methods in Computer Science","raw_type":"journal-article"},"sustainable_development_goals":[{"score":0.5400000214576721,"display_name":"Quality Education","id":"https://metadata.un.org/sdg/4"}],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2056408123.pdf","grobid_xml":"https://content.openalex.org/works/W2056408123.grobid-xml"},"referenced_works_count":16,"referenced_works":["https://openalex.org/W1481169643","https://openalex.org/W1494274610","https://openalex.org/W1504333451","https://openalex.org/W1515892503","https://openalex.org/W1531958013","https://openalex.org/W1539382740","https://openalex.org/W1563982778","https://openalex.org/W1605891657","https://openalex.org/W2013408476","https://openalex.org/W2037844275","https://openalex.org/W2138856440","https://openalex.org/W2168601854","https://openalex.org/W2220644212","https://openalex.org/W2280186749","https://openalex.org/W2950337683","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W238609530","https://openalex.org/W2734192830","https://openalex.org/W3016395638","https://openalex.org/W1636163329","https://openalex.org/W3045121788","https://openalex.org/W1969025852","https://openalex.org/W4320854783","https://openalex.org/W2946585142","https://openalex.org/W2042919731"],"abstract_inverted_index":{"In":[0,43],"this":[1],"paper":[2,170],"we":[3],"show":[4],"that":[5,35,86,93,140,189],"{\\omega}B-":[6,25,54],"and":[7,38,48,72,136,179],"{\\omega}S-regular":[8,79],"languages":[9,19,75,129,132,181],"satisfy":[10],"the":[11,58,82,96,117,124,142,145,149,175,183,186],"following":[12],"separation-type":[13],"theorem":[14,84,135],"If":[15],"L1,L2":[16],"are":[17,51,76,88],"disjoint":[18],"of":[20,78,144,177,185],"{\\omega}-words":[21],"both":[22,94],"recognised":[23,52],"by":[24,53,70,192],"(resp.":[26,55],"{\\omega}S)-automata":[27,56],"then":[28,57],"there":[29],"exists":[30],"an":[31],"{\\omega}-regular":[32],"language":[33,47,59],"Lsep":[34],"contains":[36,41],"L1,":[37],"whose":[39],"complement":[40,50],"L2.":[42],"particular,":[44],"if":[45],"a":[46,112,172],"its":[49],"is":[60,64,152,158],"{\\omega}-regular.":[61],"The":[62,120,155,169],"result":[63],"especially":[65],"interesting":[66],"because,":[67],"as":[68],"shown":[69],"Boja\\'nczyk":[71],"Colcombet,":[73],"{\\omega}B-regular":[74],"complements":[77],"languages.":[80],"Therefore,":[81],"above":[83],"shows":[85],"these":[87],"two":[89],"mutually":[90],"dual":[91],"classes":[92],"have":[95],"separation":[97,118,125,146],"property.":[98,119],"Usually":[99],"(e.g.":[100],"in":[101,148,182],"descriptive":[102],"set":[103],"theory":[104],"or":[105],"recursion":[106],"theory)":[107],"exactly":[108],"one":[109],"class":[110],"from":[111],"pair":[113],"C,":[114],"Cc":[115],"has":[116],"proof":[121],"technique":[122],"reduces":[123],"property":[126,147],"for":[127,174],"{\\omega}-word":[128],"to":[130,165],"profinite":[131,150,187],"using":[133],"Ramsey's":[134],"topological":[137],"methods.":[138],"After":[139],"reduction,":[141],"analysis":[143,176],"monoid":[151,188],"relatively":[153],"simple.":[154],"whole":[156],"construction":[157],"technically":[159],"not":[160],"complicated,":[161],"moreover":[162],"it":[163],"seems":[164],"be":[166],"quite":[167],"extensible.":[168],"uses":[171],"framework":[173],"B-":[178],"S-regular":[180],"context":[184],"was":[190],"proposed":[191],"Toru\\'nczyk.":[193]},"counts_by_year":[{"year":2020,"cited_by_count":2},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":1}],"updated_date":"2026-03-10T14:07:55.174380","created_date":"2025-10-10T00:00:00"}
