{"id":"https://openalex.org/W7161552626","doi":"https://doi.org/10.48550/arxiv.2605.15390","title":"Kofola 1.0: A Modular Approach to \u03c9-Regular Complementation and Inclusion Checking (Technical Report)","display_name":"Kofola 1.0: A Modular Approach to \u03c9-Regular Complementation and Inclusion Checking (Technical Report)","publication_year":2026,"publication_date":"2026-05-14","ids":{"openalex":"https://openalex.org/W7161552626","doi":"https://doi.org/10.48550/arxiv.2605.15390"},"language":null,"primary_location":{"id":"doi:10.48550/arxiv.2605.15390","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2605.15390","pdf_url":null,"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"},"type":"preprint","indexed_in":["datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://doi.org/10.48550/arxiv.2605.15390","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5136449809","display_name":"Ondrej Alexaj","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Alexaj, Ondrej","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5030524096","display_name":"Vojt\u011bch Havlena","orcid":"https://orcid.org/0000-0003-4375-7954"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Havlena, Vojt\u011bch","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5059358773","display_name":"Luk\u00e1\u0161 Hol\u00edk","orcid":"https://orcid.org/0000-0001-6957-1651"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Hol\u00edk, Luk\u00e1\u0161","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5063557188","display_name":"Ond\u0159ej Leng\u00e1l","orcid":"https://orcid.org/0000-0002-3038-5875"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Leng\u00e1l, Ond\u0159ej","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5136355935","display_name":"Yong Li","orcid":"https://orcid.org/0009-0002-1699-0769"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Li, Yong","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5081762569","display_name":"Nicolas Mazzocchi","orcid":"https://orcid.org/0000-0001-6425-5369"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Mazzocchi, Nicolas","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":6,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":null,"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/T10142","display_name":"Formal Methods in Verification","score":0.9836000204086304,"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":0.9836000204086304,"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":0.0044999998062849045,"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"}},{"id":"https://openalex.org/T11567","display_name":"semigroups and automata theory","score":0.002199999988079071,"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/modular-design","display_name":"Modular design","score":0.7950999736785889},{"id":"https://openalex.org/keywords/automaton","display_name":"Automaton","score":0.5813000202178955},{"id":"https://openalex.org/keywords/complementation","display_name":"Complementation","score":0.5774000287055969},{"id":"https://openalex.org/keywords/key","display_name":"Key (lock)","score":0.5292999744415283},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.45809999108314514},{"id":"https://openalex.org/keywords/component","display_name":"Component (thermodynamics)","score":0.4058000147342682}],"concepts":[{"id":"https://openalex.org/C101468663","wikidata":"https://www.wikidata.org/wiki/Q1620158","display_name":"Modular design","level":2,"score":0.7950999736785889},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6207000017166138},{"id":"https://openalex.org/C112505250","wikidata":"https://www.wikidata.org/wiki/Q787116","display_name":"Automaton","level":2,"score":0.5813000202178955},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.5781000256538391},{"id":"https://openalex.org/C188082640","wikidata":"https://www.wikidata.org/wiki/Q1780899","display_name":"Complementation","level":4,"score":0.5774000287055969},{"id":"https://openalex.org/C26517878","wikidata":"https://www.wikidata.org/wiki/Q228039","display_name":"Key (lock)","level":2,"score":0.5292999744415283},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.45809999108314514},{"id":"https://openalex.org/C168167062","wikidata":"https://www.wikidata.org/wiki/Q1117970","display_name":"Component (thermodynamics)","level":2,"score":0.4058000147342682},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3968000113964081},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.35830000042915344},{"id":"https://openalex.org/C167822520","wikidata":"https://www.wikidata.org/wiki/Q176452","display_name":"Finite-state machine","level":2,"score":0.3546000123023987},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3158000111579895},{"id":"https://openalex.org/C72434380","wikidata":"https://www.wikidata.org/wiki/Q230930","display_name":"State space","level":2,"score":0.3140999972820282},{"id":"https://openalex.org/C31170391","wikidata":"https://www.wikidata.org/wiki/Q188619","display_name":"Hierarchy","level":2,"score":0.30979999899864197},{"id":"https://openalex.org/C110251889","wikidata":"https://www.wikidata.org/wiki/Q1569697","display_name":"Model checking","level":2,"score":0.3027999997138977},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.30079999566078186},{"id":"https://openalex.org/C94966114","wikidata":"https://www.wikidata.org/wiki/Q29256","display_name":"Black box","level":2,"score":0.2734000086784363}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.48550/arxiv.2605.15390","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2605.15390","pdf_url":null,"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"doi:10.48550/arxiv.2605.15390","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2605.15390","pdf_url":null,"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/10","score":0.7906731367111206,"display_name":"Reduced inequalities"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"We":[0],"present":[1],"Kofola,":[2],"an":[3],"efficient":[4],"tool":[5,124],"for":[6,81],"complementation":[7,34,51,115],"and":[8,26,45,116,128],"inclusion":[9,67],"checking":[10,68],"of":[11,135],"B\u00fcchi":[12],"automata,":[13],"two":[14],"central":[15],"tasks":[16],"in":[17,22,125],"automata-theoretic":[18],"verification":[19],"with":[20,69,113],"applications":[21],"model":[23],"checking,":[24],"monitoring,":[25],"theorem":[27],"proving.":[28],"Kofola":[29,63,109],"implements":[30],"a":[31,50,76],"state-of-the-art":[32,114],"modular":[33,61,66],"framework":[35],"that":[36,108],"decomposes":[37],"the":[38,82,93,100,121],"input":[39],"automaton":[40],"into":[41],"strongly":[42],"connected":[43],"components":[44],"applies":[46],"to":[47,54,95],"each":[48],"component":[49],"algorithm":[52,80],"tailored":[53],"its":[55],"structural":[56],"properties.":[57],"Building":[58],"on":[59,137],"this":[60],"construction,":[62],"also":[64],"provides":[65],"new":[70,77],"heuristics.":[71],"A":[72],"key":[73],"ingredient":[74],"is":[75,110,120],"on-the-fly":[78],"emptiness-checking":[79],"simple":[83],"generalized":[84],"Rabin":[85],"pair":[86],"condition":[87],"produced":[88],"by":[89,132],"our":[90,126],"complementation,":[91],"allowing":[92],"search":[94],"terminate":[96],"as":[97,99],"soon":[98],"explored":[101],"state":[102],"space":[103],"suffices.":[104],"Empirical":[105],"evaluation":[106,127],"shows":[107],"highly":[111],"competitive":[112],"inclusion-checking":[117],"tools:":[118],"it":[119],"most":[122],"robust":[123],"often":[129],"outperforms":[130],"competitors":[131],"several":[133],"orders":[134],"magnitude":[136],"benchmarks":[138],"from":[139],"practical":[140],"applications.":[141]},"counts_by_year":[],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2026-05-19T00:00:00"}
