{"id":"https://openalex.org/W2138467892","doi":"https://doi.org/10.2168/lmcs-3(4:7)2007","title":"Decisive Markov Chains","display_name":"Decisive Markov Chains","publication_year":2007,"publication_date":"2007-11-08","ids":{"openalex":"https://openalex.org/W2138467892","doi":"https://doi.org/10.2168/lmcs-3(4:7)2007","mag":"2138467892"},"language":"en","primary_location":{"id":"doi:10.2168/lmcs-3(4:7)2007","is_oa":true,"landing_page_url":"https://doi.org/10.2168/lmcs-3(4:7)2007","pdf_url":"https://lmcs.episciences.org/867/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/867/pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5002478680","display_name":"Parosh Aziz Abdulla","orcid":"https://orcid.org/0000-0001-6832-6611"},"institutions":[{"id":"https://openalex.org/I4210120668","display_name":"Creative Commons","ror":"https://ror.org/02ed4cj64","country_code":"US","type":"nonprofit","lineage":["https://openalex.org/I4210120668"]},{"id":"https://openalex.org/I123387679","display_name":"Uppsala University","ror":"https://ror.org/048a87296","country_code":"SE","type":"education","lineage":["https://openalex.org/I123387679"]}],"countries":["SE","US"],"is_corresponding":true,"raw_author_name":"Parosh Aziz Abdulla","raw_affiliation_strings":["Uppsala University, Department of Information Technology, Box 337, SE-751 05 Uppsala, Sweden","Creative Commons"],"affiliations":[{"raw_affiliation_string":"Uppsala University, Department of Information Technology, Box 337, SE-751 05 Uppsala, Sweden","institution_ids":["https://openalex.org/I123387679"]},{"raw_affiliation_string":"Creative Commons","institution_ids":["https://openalex.org/I4210120668"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5061774156","display_name":"Noomene Ben Henda","orcid":null},"institutions":[{"id":"https://openalex.org/I123387679","display_name":"Uppsala University","ror":"https://ror.org/048a87296","country_code":"SE","type":"education","lineage":["https://openalex.org/I123387679"]}],"countries":["SE"],"is_corresponding":false,"raw_author_name":"Noomene Ben Henda","raw_affiliation_strings":["Uppsala University, Department of Information Technology, Box 337, SE-751 05 Uppsala, Sweden"],"affiliations":[{"raw_affiliation_string":"Uppsala University, Department of Information Technology, Box 337, SE-751 05 Uppsala, Sweden","institution_ids":["https://openalex.org/I123387679"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5082358544","display_name":"Richard Mayr","orcid":"https://orcid.org/0009-0003-2164-9933"},"institutions":[{"id":"https://openalex.org/I137902535","display_name":"North Carolina State University","ror":"https://ror.org/04tj63d06","country_code":"US","type":"education","lineage":["https://openalex.org/I137902535"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Richard Mayr","raw_affiliation_strings":["North Carolina State University, Department of Computer Science, Raleigh, NC 27695-8206, USA","School of Informatics"],"affiliations":[{"raw_affiliation_string":"North Carolina State University, Department of Computer Science, Raleigh, NC 27695-8206, USA","institution_ids":["https://openalex.org/I137902535"]},{"raw_affiliation_string":"School of Informatics","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5002478680"],"corresponding_institution_ids":["https://openalex.org/I123387679","https://openalex.org/I4210120668"],"apc_list":null,"apc_paid":null,"fwci":1.4973,"has_fulltext":true,"cited_by_count":50,"citation_normalized_percentile":{"value":0.83367449,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"Volume 3, Issue 4","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":0.9998999834060669,"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":0.9998999834060669,"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":0.9897000193595886,"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/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.9894000291824341,"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/markov-chain","display_name":"Markov chain","score":0.8839313387870789},{"id":"https://openalex.org/keywords/examples-of-markov-chains","display_name":"Examples of Markov chains","score":0.6267753839492798},{"id":"https://openalex.org/keywords/liveness","display_name":"Liveness","score":0.5593396425247192},{"id":"https://openalex.org/keywords/probabilistic-logic","display_name":"Probabilistic logic","score":0.5417649149894714},{"id":"https://openalex.org/keywords/markov-kernel","display_name":"Markov kernel","score":0.539105236530304},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.5300167798995972},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.505479097366333},{"id":"https://openalex.org/keywords/variable-order-markov-model","display_name":"Variable-order Markov model","score":0.46006715297698975},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.42361217737197876},{"id":"https://openalex.org/keywords/markov-model","display_name":"Markov model","score":0.4215574264526367},{"id":"https://openalex.org/keywords/markov-property","display_name":"Markov property","score":0.4143935441970825},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3703826069831848},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.25810641050338745}],"concepts":[{"id":"https://openalex.org/C98763669","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov chain","level":2,"score":0.8839313387870789},{"id":"https://openalex.org/C76408418","wikidata":"https://www.wikidata.org/wiki/Q5419314","display_name":"Examples of Markov chains","level":5,"score":0.6267753839492798},{"id":"https://openalex.org/C15569618","wikidata":"https://www.wikidata.org/wiki/Q3561421","display_name":"Liveness","level":2,"score":0.5593396425247192},{"id":"https://openalex.org/C49937458","wikidata":"https://www.wikidata.org/wiki/Q2599292","display_name":"Probabilistic logic","level":2,"score":0.5417649149894714},{"id":"https://openalex.org/C106666656","wikidata":"https://www.wikidata.org/wiki/Q6771323","display_name":"Markov kernel","level":5,"score":0.539105236530304},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.5300167798995972},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.505479097366333},{"id":"https://openalex.org/C54907487","wikidata":"https://www.wikidata.org/wiki/Q7915688","display_name":"Variable-order Markov model","level":4,"score":0.46006715297698975},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.42361217737197876},{"id":"https://openalex.org/C163836022","wikidata":"https://www.wikidata.org/wiki/Q6771326","display_name":"Markov model","level":3,"score":0.4215574264526367},{"id":"https://openalex.org/C189973286","wikidata":"https://www.wikidata.org/wiki/Q176695","display_name":"Markov property","level":4,"score":0.4143935441970825},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3703826069831848},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.25810641050338745},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0}],"mesh":[],"locations_count":6,"locations":[{"id":"doi:10.2168/lmcs-3(4:7)2007","is_oa":true,"landing_page_url":"https://doi.org/10.2168/lmcs-3(4:7)2007","pdf_url":"https://lmcs.episciences.org/867/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:pure.ed.ac.uk:openaire/cc6bd75e-8afe-46ee-9503-73d790b37cdc","is_oa":true,"landing_page_url":"https://www.research.ed.ac.uk/en/publications/cc6bd75e-8afe-46ee-9503-73d790b37cdc","pdf_url":null,"source":{"id":"https://openalex.org/S4406922455","display_name":"Edinburgh Research Explorer","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Abdulla, P A, Henda, N B & Mayr, R 2007, 'Decisive Markov Chains', Logical Methods in Computer Science, vol. 3, no. 4. https://doi.org/10.2168/LMCS-3(4:7)2007","raw_type":"info:eu-repo/semantics/publishedVersion"},{"id":"pmh:oai:arXiv.org:0706.2585","is_oa":true,"landing_page_url":"http://arxiv.org/abs/0706.2585","pdf_url":"https://arxiv.org/pdf/0706.2585","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:pure.ed.ac.uk:publications/cc6bd75e-8afe-46ee-9503-73d790b37cdc","is_oa":true,"landing_page_url":"http://hdl.handle.net/20.500.11820/cc6bd75e-8afe-46ee-9503-73d790b37cdc","pdf_url":"https://www.pure.ed.ac.uk/ws/files/17904285/Abdulla_Henda_ET_AL_2007_Decisive_Markov_Chains.pdf","source":{"id":"https://openalex.org/S4406922455","display_name":"Edinburgh Research Explorer","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":""},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.101.1150","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.101.1150","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://user.it.uu.se/~nbh/files/markov_infinite_jv.pdf","raw_type":"text"},{"id":"pmh:oai:doaj.org/article:6b72988a8dcd4de79e7ac3c8de54d7ab","is_oa":true,"landing_page_url":"https://doaj.org/article/6b72988a8dcd4de79e7ac3c8de54d7ab","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 3, Issue 4 (2007)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.2168/lmcs-3(4:7)2007","is_oa":true,"landing_page_url":"https://doi.org/10.2168/lmcs-3(4:7)2007","pdf_url":"https://lmcs.episciences.org/867/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":[{"display_name":"Peace, Justice and strong institutions","id":"https://metadata.un.org/sdg/16","score":0.4300000071525574}],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2138467892.pdf","grobid_xml":"https://content.openalex.org/works/W2138467892.grobid-xml"},"referenced_works_count":56,"referenced_works":["https://openalex.org/W49167929","https://openalex.org/W1482647296","https://openalex.org/W1497670448","https://openalex.org/W1504187169","https://openalex.org/W1525935082","https://openalex.org/W1538639190","https://openalex.org/W1545759797","https://openalex.org/W1553142094","https://openalex.org/W1555229756","https://openalex.org/W1561838634","https://openalex.org/W1569859040","https://openalex.org/W1570408932","https://openalex.org/W1572551939","https://openalex.org/W1584428352","https://openalex.org/W1715173658","https://openalex.org/W1903527352","https://openalex.org/W1964087553","https://openalex.org/W1972203711","https://openalex.org/W1985925577","https://openalex.org/W1986669897","https://openalex.org/W1994188141","https://openalex.org/W2002089154","https://openalex.org/W2011495892","https://openalex.org/W2012140001","https://openalex.org/W2025970201","https://openalex.org/W2052306562","https://openalex.org/W2067398978","https://openalex.org/W2069979244","https://openalex.org/W2076508310","https://openalex.org/W2096610849","https://openalex.org/W2123160677","https://openalex.org/W2138695497","https://openalex.org/W2152221608","https://openalex.org/W2153983552","https://openalex.org/W2164003033","https://openalex.org/W2165161585","https://openalex.org/W2167246417","https://openalex.org/W2168605507","https://openalex.org/W2255219526","https://openalex.org/W2316437449","https://openalex.org/W2320309238","https://openalex.org/W2502507885","https://openalex.org/W2751862591","https://openalex.org/W2913459036","https://openalex.org/W3099666054","https://openalex.org/W4212852471","https://openalex.org/W4230164823","https://openalex.org/W4232474943","https://openalex.org/W4234891673","https://openalex.org/W4247648311","https://openalex.org/W4285719527","https://openalex.org/W4298290503","https://openalex.org/W4301441647","https://openalex.org/W4302339081","https://openalex.org/W6631989135","https://openalex.org/W6684644128"],"related_works":["https://openalex.org/W1560931929","https://openalex.org/W33343792","https://openalex.org/W1534371740","https://openalex.org/W2353158472","https://openalex.org/W2393764248","https://openalex.org/W50519898","https://openalex.org/W3153404552","https://openalex.org/W3212261958","https://openalex.org/W4235599811","https://openalex.org/W2063024474"],"abstract_inverted_index":{"We":[0,11,112,142,169],"consider":[1,113],"qualitative":[2,145],"and":[3,106,116,154,166,179,186],"quantitative":[4,195,207],"verification":[5],"problems":[6,118,146],"for":[7,59,84,119,150,163,182,232],"infinite-state":[8],"Markov":[9,14,47,64,67,94,121,152,184],"chains.":[10,65],"call":[12],"a":[13,18,34,71,127,227],"chain":[15],"decisive":[16,51,75,120,151,183],"w.r.t.":[17,76],"given":[19,128],"set":[20,54,78,129],"of":[21,62,130,160,177,201,218],"target":[22],"states":[23,131],"F":[24,32,38,132,221],"if":[25],"it":[26],"almost":[27,157],"certainly":[28],"eventually":[29,134],"reaches":[30],"either":[31,233],"or":[33,136,236],"state":[35],"from":[36],"which":[37,69],"can":[39,187],"no":[40],"longer":[41],"be":[42,189,223],"reached.":[43],"While":[44],"all":[45,91],"finite":[46,72],"chains":[48,68,95,185],"are":[49,74,96],"trivially":[50],"(for":[52],"every":[53,77],"F),":[55],"this":[56,82,202],"also":[57,170],"holds":[58,83],"many":[60],"classes":[61],"infinite":[63],"Infinite":[66],"contain":[70],"attractor":[73],"F.":[79],"In":[80],"particular,":[81],"probabilistic":[85,101,107],"lossy":[86],"channel":[87],"systems":[88,104],"(PLCS).":[89],"Furthermore,":[90],"globally":[92],"coarse":[93],"decisive.":[97],"This":[98],"class":[99],"includes":[100],"vector":[102],"addition":[103],"(PVASS)":[105],"noisy":[108],"Turing":[109],"machines":[110],"(PNTM).":[111],"both":[114],"safety":[115,196],"liveness":[117,208],"chains,":[122,153],"i.e.,":[123],"the":[124,144,173,193,205,215],"probabilities":[125],"that":[126,172,214],"is":[133],"reached":[135,137],"infinitely":[138],"often,":[139],"respectively.":[140],"1.":[141],"express":[143],"in":[147,230],"abstract":[148],"terms":[149],"show":[155,171,213],"an":[156],"complete":[158],"picture":[159],"its":[161],"decidability":[162],"PLCS,":[164,234],"PVASS":[165,235],"PNTM.":[167],"2.":[168],"path":[174],"enumeration":[175],"algorithm":[176,203],"Iyer":[178],"Narasimha":[180],"terminates":[181],"thus":[188],"used":[190],"to":[191],"solve":[192],"approximate":[194,206],"problem.":[197,209],"A":[198],"modified":[199],"variant":[200],"solves":[204],"3.":[210],"Finally,":[211],"we":[212],"exact":[216],"probability":[217],"(repeatedly)":[219],"reaching":[220],"cannot":[222],"effectively":[224],"expressed":[225],"(in":[226],"uniform":[228],"way)":[229],"Tarski-algebra":[231],"(P)NTM.":[237]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":5},{"year":2020,"cited_by_count":5},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":6},{"year":2016,"cited_by_count":4},{"year":2015,"cited_by_count":4},{"year":2014,"cited_by_count":7},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":1}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2020-11-23T00:00:00"}
