{"id":"https://openalex.org/W4226459950","doi":"https://doi.org/10.1007/978-3-030-99527-0_7","title":"Sky Is Not the Limit","display_name":"Sky Is Not the Limit","publication_year":2022,"publication_date":"2022-01-01","ids":{"openalex":"https://openalex.org/W4226459950","doi":"https://doi.org/10.1007/978-3-030-99527-0_7"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-030-99527-0_7","is_oa":true,"landing_page_url":"https://doi.org/10.1007/978-3-030-99527-0_7","pdf_url":"https://link.springer.com/content/pdf/10.1007/978-3-030-99527-0_7.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":"book-chapter","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007/978-3-030-99527-0_7.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5030524096","display_name":"Vojt\u011bch Havlena","orcid":"https://orcid.org/0000-0003-4375-7954"},"institutions":[{"id":"https://openalex.org/I60587646","display_name":"Brno University of Technology","ror":"https://ror.org/03613d656","country_code":"CZ","type":"education","lineage":["https://openalex.org/I60587646"]}],"countries":["CZ"],"is_corresponding":true,"raw_author_name":"Vojt\u011bch Havlena","raw_affiliation_strings":["Faculty of Information Technology, Brno University of Technology, Brno, Czech Republic"],"affiliations":[{"raw_affiliation_string":"Faculty of Information Technology, Brno University of Technology, Brno, Czech Republic","institution_ids":["https://openalex.org/I60587646"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5063557188","display_name":"Ond\u0159ej Leng\u00e1l","orcid":"https://orcid.org/0000-0002-3038-5875"},"institutions":[{"id":"https://openalex.org/I60587646","display_name":"Brno University of Technology","ror":"https://ror.org/03613d656","country_code":"CZ","type":"education","lineage":["https://openalex.org/I60587646"]}],"countries":["CZ"],"is_corresponding":false,"raw_author_name":"Ond\u0159ej Leng\u00e1l","raw_affiliation_strings":["Faculty of Information Technology, Brno University of Technology, Brno, Czech Republic"],"affiliations":[{"raw_affiliation_string":"Faculty of Information Technology, Brno University of Technology, Brno, Czech Republic","institution_ids":["https://openalex.org/I60587646"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5054344548","display_name":"Barbora \u0160mahl\u00edkov\u00e1","orcid":"https://orcid.org/0000-0002-1184-4669"},"institutions":[{"id":"https://openalex.org/I60587646","display_name":"Brno University of Technology","ror":"https://ror.org/03613d656","country_code":"CZ","type":"education","lineage":["https://openalex.org/I60587646"]}],"countries":["CZ"],"is_corresponding":false,"raw_author_name":"Barbora \u0160mahl\u00edkov\u00e1","raw_affiliation_strings":["Faculty of Information Technology, Brno University of Technology, Brno, Czech Republic"],"affiliations":[{"raw_affiliation_string":"Faculty of Information Technology, Brno University of Technology, Brno, Czech Republic","institution_ids":["https://openalex.org/I60587646"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5030524096"],"corresponding_institution_ids":["https://openalex.org/I60587646"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":{"value":5000,"currency":"EUR","value_usd":5392},"fwci":2.6547,"has_fulltext":true,"cited_by_count":4,"citation_normalized_percentile":{"value":0.89590747,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"118","last_page":"136"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10142","display_name":"Formal Methods in Verification","score":0.9997000098228455,"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":0.9997000098228455,"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":0.9983000159263611,"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":0.9983000159263611,"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/computer-science","display_name":"Computer science","score":0.7384728193283081},{"id":"https://openalex.org/keywords/automaton","display_name":"Automaton","score":0.7011024951934814},{"id":"https://openalex.org/keywords/heuristics","display_name":"Heuristics","score":0.6403971314430237},{"id":"https://openalex.org/keywords/corollary","display_name":"Corollary","score":0.528182864189148},{"id":"https://openalex.org/keywords/state","display_name":"State (computer science)","score":0.5206474661827087},{"id":"https://openalex.org/keywords/limit","display_name":"Limit (mathematics)","score":0.49794673919677734},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.4758167862892151},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4630086421966553},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.4444369077682495},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.4432290196418762},{"id":"https://openalex.org/keywords/state-space","display_name":"State space","score":0.4255439341068268},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3417828679084778},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2155895233154297},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.20555615425109863}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7384728193283081},{"id":"https://openalex.org/C112505250","wikidata":"https://www.wikidata.org/wiki/Q787116","display_name":"Automaton","level":2,"score":0.7011024951934814},{"id":"https://openalex.org/C127705205","wikidata":"https://www.wikidata.org/wiki/Q5748245","display_name":"Heuristics","level":2,"score":0.6403971314430237},{"id":"https://openalex.org/C2780012671","wikidata":"https://www.wikidata.org/wiki/Q1343870","display_name":"Corollary","level":2,"score":0.528182864189148},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.5206474661827087},{"id":"https://openalex.org/C151201525","wikidata":"https://www.wikidata.org/wiki/Q177239","display_name":"Limit (mathematics)","level":2,"score":0.49794673919677734},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.4758167862892151},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4630086421966553},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.4444369077682495},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.4432290196418762},{"id":"https://openalex.org/C72434380","wikidata":"https://www.wikidata.org/wiki/Q230930","display_name":"State space","level":2,"score":0.4255439341068268},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3417828679084778},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2155895233154297},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.20555615425109863},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-030-99527-0_7","is_oa":true,"landing_page_url":"https://doi.org/10.1007/978-3-030-99527-0_7","pdf_url":"https://link.springer.com/content/pdf/10.1007/978-3-030-99527-0_7.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"}],"best_oa_location":{"id":"doi:10.1007/978-3-030-99527-0_7","is_oa":true,"landing_page_url":"https://doi.org/10.1007/978-3-030-99527-0_7","pdf_url":"https://link.springer.com/content/pdf/10.1007/978-3-030-99527-0_7.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":[{"display_name":"Sustainable cities and communities","score":0.4099999964237213,"id":"https://metadata.un.org/sdg/11"}],"awards":[{"id":"https://openalex.org/G6847719233","display_name":null,"funder_award_id":"20-07487S","funder_id":"https://openalex.org/F4320321006","funder_display_name":"Grantov\u00e1 Agentura \u010cesk\u00e9 Republiky"}],"funders":[{"id":"https://openalex.org/F4320321006","display_name":"Grantov\u00e1 Agentura \u010cesk\u00e9 Republiky","ror":"https://ror.org/01pv73b02"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4226459950.pdf","grobid_xml":"https://content.openalex.org/works/W4226459950.grobid-xml"},"referenced_works_count":36,"referenced_works":["https://openalex.org/W6269798","https://openalex.org/W104223015","https://openalex.org/W286513891","https://openalex.org/W986424706","https://openalex.org/W1516066014","https://openalex.org/W1548816955","https://openalex.org/W1548996544","https://openalex.org/W1553894716","https://openalex.org/W1557490459","https://openalex.org/W1562442213","https://openalex.org/W1588454361","https://openalex.org/W1599105898","https://openalex.org/W1599236338","https://openalex.org/W1964626357","https://openalex.org/W1976773489","https://openalex.org/W1994797527","https://openalex.org/W2059045337","https://openalex.org/W2086970337","https://openalex.org/W2165726630","https://openalex.org/W2168605507","https://openalex.org/W2501722818","https://openalex.org/W2522043470","https://openalex.org/W2777178969","https://openalex.org/W2798623107","https://openalex.org/W2799100779","https://openalex.org/W2928024470","https://openalex.org/W2963378790","https://openalex.org/W2982119447","https://openalex.org/W2990071612","https://openalex.org/W3009448167","https://openalex.org/W3027188300","https://openalex.org/W3042859643","https://openalex.org/W3103503317","https://openalex.org/W3193588428","https://openalex.org/W3217777288","https://openalex.org/W4246764629"],"related_works":["https://openalex.org/W2376029318","https://openalex.org/W2388301251","https://openalex.org/W2013770701","https://openalex.org/W3013941779","https://openalex.org/W1998659141","https://openalex.org/W3195376785","https://openalex.org/W2951185269","https://openalex.org/W2319937810","https://openalex.org/W2370435933","https://openalex.org/W2947625790"],"abstract_inverted_index":{"Abstract":[0],"We":[1,102],"propose":[2],"several":[3],"heuristics":[4],"for":[5,66,87,113],"mitigating":[6],"one":[7],"of":[8,12,18,28,41,52,60,93,99,109,140],"the":[9,26,58,91,100,110,123],"main":[10],"causes":[11],"combinatorial":[13],"explosion":[14],"in":[15,48],"rank-based":[16],"complementation":[17,115],"B\u00fcchi":[19],"automata":[20,34,68,78],"(BAs):":[21],"unnecessarily":[22],"high":[23],"bounds":[24,65,89],"on":[25,90,136],"ranks":[27,51,92],"states.":[29],"First,":[30],"we":[31,83],"identify":[32],"elevator":[33,67,77],",":[35],"which":[36],"is":[37],"a":[38,80,137],"large":[39,138],"class":[40],"BAs":[42,74],"(generalizing":[43],"semi-deterministic":[44],"BAs),":[45],"occurring":[46],"often":[47],"practice,":[49],"where":[50],"states":[53,95],"are":[54],"bounded":[55],"according":[56],"to":[57,72],"structure":[59],"strongly":[61],"connected":[62],"components.":[63],"The":[64],"also":[69],"carry":[70],"over":[71],"general":[73],"that":[75,118],"contain":[76],"as":[79,106],"sub-structure.":[81],"Second,":[82],"introduce":[84],"two":[85],"techniques":[86,105],"refining":[88],"BA":[94,114],"using":[96],"data-flow":[97],"analysis":[98],"automaton.":[101],"implement":[103],"out":[104],"an":[107],"extension":[108],"tool":[111],"Ranker":[112],"and":[116,131],"show":[117],"they":[119],"indeed":[120],"greatly":[121],"prune":[122],"generated":[124],"state":[125],"space,":[126],"obtaining":[127],"significantly":[128],"better":[129],"results":[130],"outperforming":[132],"other":[133],"state-of-the-art":[134],"tools":[135],"set":[139],"benchmarks.":[141]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":2}],"updated_date":"2026-03-13T16:22:10.518609","created_date":"2025-10-10T00:00:00"}