{"id":"https://openalex.org/W2761797679","doi":"https://doi.org/10.2168/lmcs-8(3:21)2012","title":"Model Checking the Quantitative mu-Calculus on Linear Hybrid Systems","display_name":"Model Checking the Quantitative mu-Calculus on Linear Hybrid Systems","publication_year":2012,"publication_date":"2012-09-20","ids":{"openalex":"https://openalex.org/W2761797679","doi":"https://doi.org/10.2168/lmcs-8(3:21)2012","mag":"2761797679"},"language":"en","primary_location":{"id":"doi:10.2168/lmcs-8(3:21)2012","is_oa":true,"landing_page_url":"https://doi.org/10.2168/lmcs-8(3:21)2012","pdf_url":"https://lmcs.episciences.org/760/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/760/pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5108291673","display_name":"Diana Fischer","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":true,"raw_author_name":"Diana Fischer","raw_affiliation_strings":["Mathematische Grundlagen der Informatik, RWTH Aachen University"],"affiliations":[{"raw_affiliation_string":"Mathematische Grundlagen der Informatik, RWTH Aachen University","institution_ids":["https://openalex.org/I887968799"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5031789995","display_name":"\u0141ukasz Kaiser","orcid":"https://orcid.org/0000-0003-1092-6010"},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"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/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/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"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Lukasz Kaiser","raw_affiliation_strings":["LIAFA, CNRS & Universit Paris Diderot -Paris","LIAFA, CNRS & Universit\u00e9 Paris Diderot -Paris"],"affiliations":[{"raw_affiliation_string":"LIAFA, CNRS & Universit Paris Diderot -Paris","institution_ids":["https://openalex.org/I204730241","https://openalex.org/I4210094115","https://openalex.org/I1294671590","https://openalex.org/I169173203"]},{"raw_affiliation_string":"LIAFA, CNRS & Universit\u00e9 Paris Diderot -Paris","institution_ids":["https://openalex.org/I204730241","https://openalex.org/I4210094115","https://openalex.org/I1294671590"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5108291673"],"corresponding_institution_ids":["https://openalex.org/I887968799"],"apc_list":null,"apc_paid":null,"fwci":1.0384,"has_fulltext":true,"cited_by_count":4,"citation_normalized_percentile":{"value":0.79728149,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"Volume 8, Issue 3","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":0.9998000264167786,"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":0.9998000264167786,"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":0.9993000030517578,"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/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.9986000061035156,"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/decidability","display_name":"Decidability","score":0.8494091033935547},{"id":"https://openalex.org/keywords/rotation-formalisms-in-three-dimensions","display_name":"Rotation formalisms in three dimensions","score":0.7773131132125854},{"id":"https://openalex.org/keywords/model-checking","display_name":"Model checking","score":0.7325000762939453},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6529613733291626},{"id":"https://openalex.org/keywords/temporal-logic","display_name":"Temporal logic","score":0.5825682878494263},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.5353842973709106},{"id":"https://openalex.org/keywords/linear-temporal-logic","display_name":"Linear temporal logic","score":0.5096166133880615},{"id":"https://openalex.org/keywords/linear-logic","display_name":"Linear logic","score":0.5032746195793152},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.4486458897590637},{"id":"https://openalex.org/keywords/extension","display_name":"Extension (predicate logic)","score":0.4450317919254303},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.44308334589004517},{"id":"https://openalex.org/keywords/modal","display_name":"Modal","score":0.4361311197280884},{"id":"https://openalex.org/keywords/modal-logic","display_name":"Modal logic","score":0.43303295969963074},{"id":"https://openalex.org/keywords/abstraction-model-checking","display_name":"Abstraction model checking","score":0.4260694980621338},{"id":"https://openalex.org/keywords/reduction","display_name":"Reduction (mathematics)","score":0.41398167610168457},{"id":"https://openalex.org/keywords/context","display_name":"Context (archaeology)","score":0.4110109210014343},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.38186994194984436},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2949075698852539},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.20442113280296326},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.1396644115447998}],"concepts":[{"id":"https://openalex.org/C153269930","wikidata":"https://www.wikidata.org/wiki/Q430001","display_name":"Decidability","level":2,"score":0.8494091033935547},{"id":"https://openalex.org/C171018156","wikidata":"https://www.wikidata.org/wiki/Q7370306","display_name":"Rotation formalisms in three dimensions","level":2,"score":0.7773131132125854},{"id":"https://openalex.org/C110251889","wikidata":"https://www.wikidata.org/wiki/Q1569697","display_name":"Model checking","level":2,"score":0.7325000762939453},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6529613733291626},{"id":"https://openalex.org/C25016198","wikidata":"https://www.wikidata.org/wiki/Q781833","display_name":"Temporal logic","level":2,"score":0.5825682878494263},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.5353842973709106},{"id":"https://openalex.org/C4777664","wikidata":"https://www.wikidata.org/wiki/Q1536492","display_name":"Linear temporal logic","level":2,"score":0.5096166133880615},{"id":"https://openalex.org/C28077239","wikidata":"https://www.wikidata.org/wiki/Q841728","display_name":"Linear logic","level":2,"score":0.5032746195793152},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.4486458897590637},{"id":"https://openalex.org/C2778029271","wikidata":"https://www.wikidata.org/wiki/Q5421931","display_name":"Extension (predicate logic)","level":2,"score":0.4450317919254303},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.44308334589004517},{"id":"https://openalex.org/C71139939","wikidata":"https://www.wikidata.org/wiki/Q910194","display_name":"Modal","level":2,"score":0.4361311197280884},{"id":"https://openalex.org/C27508121","wikidata":"https://www.wikidata.org/wiki/Q210841","display_name":"Modal logic","level":3,"score":0.43303295969963074},{"id":"https://openalex.org/C30888246","wikidata":"https://www.wikidata.org/wiki/Q4669969","display_name":"Abstraction model checking","level":3,"score":0.4260694980621338},{"id":"https://openalex.org/C111335779","wikidata":"https://www.wikidata.org/wiki/Q3454686","display_name":"Reduction (mathematics)","level":2,"score":0.41398167610168457},{"id":"https://openalex.org/C2779343474","wikidata":"https://www.wikidata.org/wiki/Q3109175","display_name":"Context (archaeology)","level":2,"score":0.4110109210014343},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.38186994194984436},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2949075698852539},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.20442113280296326},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.1396644115447998},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","level":1,"score":0.0},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C188027245","wikidata":"https://www.wikidata.org/wiki/Q750446","display_name":"Polymer chemistry","level":1,"score":0.0},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.2168/lmcs-8(3:21)2012","is_oa":true,"landing_page_url":"https://doi.org/10.2168/lmcs-8(3:21)2012","pdf_url":"https://lmcs.episciences.org/760/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:1209.1738","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1209.1738","pdf_url":"https://arxiv.org/pdf/1209.1738","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:e94abc6114c940168169d96f9e3cb637","is_oa":true,"landing_page_url":"https://doaj.org/article/e94abc6114c940168169d96f9e3cb637","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 8, Issue 3 (2012)","raw_type":"article"},{"id":"pmh:oai:publications.rwth-aachen.de:124112","is_oa":false,"landing_page_url":"https://publications.rwth-aachen.de/record/124112","pdf_url":null,"source":{"id":"https://openalex.org/S4306401362","display_name":"RWTH Publications (RWTH Aachen)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I887968799","host_organization_name":"RWTH Aachen University","host_organization_lineage":["https://openalex.org/I887968799"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Automata, languages and programming : 38th international colloquium, ICALP 2011, Zurich, Switzerland, July 4-8, 2011 ; proceedings / Luca Aceto; Monika Henzinger; Jiri Sgall (eds.). - Pt. 2<br/>38. international colloquium: Automata, languages and programming, ICALP 2011, Zurich, Switzerland, 2011-07-04 - 2011-07-08","raw_type":"info:eu-repo/semantics/publishedVersion"}],"best_oa_location":{"id":"doi:10.2168/lmcs-8(3:21)2012","is_oa":true,"landing_page_url":"https://doi.org/10.2168/lmcs-8(3:21)2012","pdf_url":"https://lmcs.episciences.org/760/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":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2761797679.pdf","grobid_xml":"https://content.openalex.org/works/W2761797679.grobid-xml"},"referenced_works_count":20,"referenced_works":["https://openalex.org/W59373101","https://openalex.org/W119381390","https://openalex.org/W1480889453","https://openalex.org/W1487087108","https://openalex.org/W1512316300","https://openalex.org/W1523168988","https://openalex.org/W1534354603","https://openalex.org/W1549541479","https://openalex.org/W1577248548","https://openalex.org/W1594438783","https://openalex.org/W2004463571","https://openalex.org/W2015011216","https://openalex.org/W2055960145","https://openalex.org/W2060155289","https://openalex.org/W2091027967","https://openalex.org/W2125422788","https://openalex.org/W2163590987","https://openalex.org/W2165276844","https://openalex.org/W2761797679","https://openalex.org/W4240424600"],"related_works":["https://openalex.org/W1513400763","https://openalex.org/W2350953867","https://openalex.org/W2058579816","https://openalex.org/W1583068981","https://openalex.org/W2521108391","https://openalex.org/W2019529782","https://openalex.org/W2359102888","https://openalex.org/W2110468917","https://openalex.org/W2477338659","https://openalex.org/W2013878945"],"abstract_inverted_index":{"We":[0,66],"study":[1],"the":[2,10,37,58,73,96],"model-checking":[3,110],"problem":[4],"for":[5,28,39,95],"a":[6,14,69,104,114,117],"quantitative":[7,40,49,62,71,74],"extension":[8],"of":[9,16,31,60,98,107,119],"modal":[11],"mu-calculus":[12],"on":[13,83,103],"class":[15,106,118],"hybrid":[17,86],"systems.":[18,87],"Qualitative":[19],"model":[20,78],"checking":[21],"has":[22],"been":[23],"proved":[24],"decidable":[25],"and":[26,56,112],"implemented":[27],"several":[29],"classes":[30],"systems,":[32],"but":[33],"this":[34,46,89],"is":[35],"not":[36],"case":[38],"questions":[41],"that":[42,51],"arise":[43],"naturally":[44],"in":[45,109],"context.":[47],"Recently,":[48],"formalisms":[50],"subsume":[52],"classical":[53],"temporal":[54],"logics":[55],"allow":[57],"measurement":[59],"interesting":[61],"phenomena":[63],"were":[64],"introduced.":[65],"show":[67],"how":[68],"powerful":[70],"logic,":[72],"mu-calculus,":[75],"can":[76],"be":[77],"checked":[79],"with":[80],"arbitrary":[81],"precision":[82],"initialised":[84],"linear":[85],"To":[88],"end,":[90],"we":[91],"develop":[92],"new":[93],"techniques":[94],"discretisation":[97],"continuous":[99],"state":[100],"spaces":[101],"based":[102],"special":[105],"strategies":[108],"games":[111],"present":[113],"reduction":[115],"to":[116],"counter":[120],"parity":[121],"games.":[122]},"counts_by_year":[{"year":2015,"cited_by_count":1},{"year":2012,"cited_by_count":2}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}
