{"id":"https://openalex.org/W3022356505","doi":"https://doi.org/10.1007/978-3-030-45231-5_27","title":"Ambiguity, Weakness, and Regularity in Probabilistic B\u00fcchi Automata","display_name":"Ambiguity, Weakness, and Regularity in Probabilistic B\u00fcchi Automata","publication_year":2020,"publication_date":"2020-01-01","ids":{"openalex":"https://openalex.org/W3022356505","doi":"https://doi.org/10.1007/978-3-030-45231-5_27","mag":"3022356505"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-030-45231-5_27","is_oa":true,"landing_page_url":"https://doi.org/10.1007/978-3-030-45231-5_27","pdf_url":"https://link.springer.com/content/pdf/10.1007%2F978-3-030-45231-5_27.pdf","source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"type":"conference-paper","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007%2F978-3-030-45231-5_27.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"Christof L\u00f6ding","orcid":null},"institutions":[{"id":"https://openalex.org/I887968799","display_name":"RWTH Aachen University","ror":"https://ror.org/04xfq0f34","country_code":"DE","type":"education","lineage":["https://openalex.org/I887968799"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Christof L\u00f6ding","raw_affiliation_strings":["RWTH Aachen University, Templergraben 55, 52062, Aachen, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"RWTH Aachen University, Templergraben 55, 52062, Aachen, Germany","institution_ids":["https://openalex.org/I887968799"]}]},{"author_position":"last","author":{"id":null,"display_name":"Anton Pirogov","orcid":"https://orcid.org/0000-0002-5077-7497"},"institutions":[{"id":"https://openalex.org/I887968799","display_name":"RWTH Aachen University","ror":"https://ror.org/04xfq0f34","country_code":"DE","type":"education","lineage":["https://openalex.org/I887968799"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Anton Pirogov","raw_affiliation_strings":["RWTH Aachen University, Templergraben 55, 52062, Aachen, Germany"],"raw_orcid":"https://orcid.org/0000-0002-5077-7497","affiliations":[{"raw_affiliation_string":"RWTH Aachen University, Templergraben 55, 52062, Aachen, Germany","institution_ids":["https://openalex.org/I887968799"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I887968799"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":{"value":5000,"currency":"EUR","value_usd":5392},"fwci":null,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"522","last_page":"541"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10142","display_name":"Formal Methods in Verification","score":0.42080000042915344,"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/T10142","display_name":"Formal Methods in Verification","score":0.42080000042915344,"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/T11567","display_name":"semigroups and automata theory","score":0.32510000467300415,"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":0.12600000202655792,"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/generalization","display_name":"Generalization","score":0.7437000274658203},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.7044000029563904},{"id":"https://openalex.org/keywords/automaton","display_name":"Automaton","score":0.6876999735832214},{"id":"https://openalex.org/keywords/ambiguity","display_name":"Ambiguity","score":0.6247000098228455},{"id":"https://openalex.org/keywords/probabilistic-logic","display_name":"Probabilistic logic","score":0.6147000193595886},{"id":"https://openalex.org/keywords/natural","display_name":"Natural (archaeology)","score":0.545799970626831},{"id":"https://openalex.org/keywords/expressivity","display_name":"Expressivity","score":0.4616999924182892},{"id":"https://openalex.org/keywords/b\u00fcchi-automaton","display_name":"B\u00fcchi automaton","score":0.39649999141693115}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7646999955177307},{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.7437000274658203},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.7044000029563904},{"id":"https://openalex.org/C112505250","wikidata":"https://www.wikidata.org/wiki/Q787116","display_name":"Automaton","level":2,"score":0.6876999735832214},{"id":"https://openalex.org/C2780522230","wikidata":"https://www.wikidata.org/wiki/Q1140419","display_name":"Ambiguity","level":2,"score":0.6247000098228455},{"id":"https://openalex.org/C49937458","wikidata":"https://www.wikidata.org/wiki/Q2599292","display_name":"Probabilistic logic","level":2,"score":0.6147000193595886},{"id":"https://openalex.org/C2776608160","wikidata":"https://www.wikidata.org/wiki/Q4785462","display_name":"Natural (archaeology)","level":2,"score":0.545799970626831},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.5372999906539917},{"id":"https://openalex.org/C92811239","wikidata":"https://www.wikidata.org/wiki/Q20998670","display_name":"Expressivity","level":2,"score":0.4616999924182892},{"id":"https://openalex.org/C165753454","wikidata":"https://www.wikidata.org/wiki/Q1020380","display_name":"B\u00fcchi automaton","level":4,"score":0.39649999141693115},{"id":"https://openalex.org/C195324797","wikidata":"https://www.wikidata.org/wiki/Q33742","display_name":"Natural language","level":2,"score":0.3659999966621399},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.359499990940094},{"id":"https://openalex.org/C52370388","wikidata":"https://www.wikidata.org/wiki/Q752532","display_name":"Regular language","level":3,"score":0.35929998755455017},{"id":"https://openalex.org/C174784677","wikidata":"https://www.wikidata.org/wiki/Q176567","display_name":"Probabilistic automaton","level":3,"score":0.3587999939918518},{"id":"https://openalex.org/C174327141","wikidata":"https://www.wikidata.org/wiki/Q176837","display_name":"Quantum finite automata","level":4,"score":0.3571999967098236},{"id":"https://openalex.org/C116248031","wikidata":"https://www.wikidata.org/wiki/Q214526","display_name":"Automata theory","level":3,"score":0.35420000553131104},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.35260000824928284},{"id":"https://openalex.org/C184264201","wikidata":"https://www.wikidata.org/wiki/Q21199","display_name":"Natural number","level":2,"score":0.335999995470047},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3264000117778778},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.3041999936103821},{"id":"https://openalex.org/C124304363","wikidata":"https://www.wikidata.org/wiki/Q673661","display_name":"Abstraction","level":2,"score":0.2944999933242798},{"id":"https://openalex.org/C92117001","wikidata":"https://www.wikidata.org/wiki/Q6997829","display_name":"Nested word","level":5,"score":0.27900001406669617},{"id":"https://openalex.org/C50348692","wikidata":"https://www.wikidata.org/wiki/Q6887056","display_name":"Mobile automaton","level":4,"score":0.2556999921798706},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.25270000100135803}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1007/978-3-030-45231-5_27","is_oa":true,"landing_page_url":"https://doi.org/10.1007/978-3-030-45231-5_27","pdf_url":"https://link.springer.com/content/pdf/10.1007%2F978-3-030-45231-5_27.pdf","source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},{"id":"pmh:oai:arXiv.org:2004.13692","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2004.13692","pdf_url":"https://arxiv.org/pdf/2004.13692","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:europepmc.org:6700098","is_oa":true,"landing_page_url":"http://europepmc.org/pmc/articles/PMC7788605","pdf_url":null,"source":{"id":"https://openalex.org/S4306400806","display_name":"Europe PMC (PubMed Central)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1303153112","host_organization_name":"European Bioinformatics Institute","host_organization_lineage":["https://openalex.org/I1303153112"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Text"},{"id":"pmh:oai:pubmedcentral.nih.gov:7788605","is_oa":true,"landing_page_url":"https://www.ncbi.nlm.nih.gov/pmc/articles/7788605","pdf_url":null,"source":{"id":"https://openalex.org/S2764455111","display_name":"PubMed Central","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Foundations of Software Science and Computation Structures","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.1007/978-3-030-45231-5_27","is_oa":true,"landing_page_url":"https://doi.org/10.1007/978-3-030-45231-5_27","pdf_url":"https://link.springer.com/content/pdf/10.1007%2F978-3-030-45231-5_27.pdf","source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320320879","display_name":"Deutsche Forschungsgemeinschaft","ror":"https://ror.org/018mejw64"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3022356505.pdf","grobid_xml":"https://content.openalex.org/works/W3022356505.grobid-xml"},"referenced_works_count":21,"referenced_works":["https://openalex.org/W117768600","https://openalex.org/W1506102917","https://openalex.org/W1560050980","https://openalex.org/W1574229394","https://openalex.org/W1576751546","https://openalex.org/W1647601293","https://openalex.org/W1816620374","https://openalex.org/W1966686249","https://openalex.org/W1968642103","https://openalex.org/W2046366128","https://openalex.org/W2072102045","https://openalex.org/W2135776689","https://openalex.org/W2174825782","https://openalex.org/W2477880734","https://openalex.org/W2482537687","https://openalex.org/W2487186542","https://openalex.org/W2885721066","https://openalex.org/W3141368232","https://openalex.org/W3194663980","https://openalex.org/W4206652660","https://openalex.org/W4212875940"],"related_works":[],"abstract_inverted_index":{"Abstract":[0],"Probabilistic":[1],"B\u00fcchi":[2],"automata":[3],"are":[4,25,29,57],"a":[5,35],"natural":[6,86],"generalization":[7],"of":[8,37,53,80,88],"PFA":[9],"to":[10,31],"infinite":[11],"words,":[12],"but":[13,85],"have":[14],"been":[15],"studied":[16],"in-depth":[17],"only":[18],"rather":[19],"recently":[20],"and":[21,91],"many":[22],"interesting":[23],"questions":[24],"still":[26,58],"open.":[27],"PBA":[28,55,101],"known":[30,51],"accept,":[32],"in":[33,66],"general,":[34],"class":[36,87],"languages":[38],"that":[39,95],"goes":[40],"beyond":[41],"the":[42,50,78,81,96],"regular":[43],"languages.":[44],"In":[45],"this":[46],"work":[47],"we":[48,76,92],"extend":[49],"classes":[52],"restricted":[54],"which":[56],"regular,":[59],"strongly":[60],"relying":[61],"on":[62],"notions":[63],"concerning":[64],"ambiguity":[65],"classical":[67],"$$\\omega":[68],"$$":[69],"<mml:math":[70],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">":[71],"<mml:mi>\u03c9</mml:mi>":[72],"</mml:math>":[73],"-automata.":[74],"Furthermore,":[75],"investigate":[77],"expressivity":[79],"not":[82],"yet":[83],"considered":[84],"weak":[89,100],"PBA,":[90],"also":[93],"show":[94],"regularity":[97],"problem":[98],"for":[99],"is":[102],"undecidable.":[103]},"counts_by_year":[],"updated_date":"2026-07-14T23:27:15.235271","created_date":"2020-05-13T00:00:00"}
