About: Reachability in Recursive Markov Decision Processes     Goto   Sponge   NotDistinct   Permalink

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  • V článku se zkoumají vlastnosti nekonečně-stavových Markovových rozhodovacích procesů, které jsou generované zásobníkovými procesy bez kontrolních stavů. Tato třída procesů odpovídá hrám s 1.5 hráči nad grafy, které jsou generované BPA systémy. Dokážeme, že kvalitativní problém dosažitelnosti je pro tuto třídu procesů rozhodnutelný v polynomiálním čase. Aplikaci tohoto výsledku prokážeme EXPTIME-úplnost problému platnosti dané kvalitativní PCTL formule v daném stavu daného procesu. (cs)
  • We consider a class of infinite-state Markov decision processes generated by stateless pushdown automata. This class corresponds to 1.5-player games over graphs generated by BPA systems or (equivalently) 1-exit recursive state machines. An extended reachability objective is specified by two sets S and T of safe and terminal stack configurations, where the membership to S and T depends just on the top-of-the-stack symbol. The question is whether there is a suitable strategy such that the probability of hitting a terminal configuration by a path leading only through safe configurations is equal to (or different from) a given x in {0,1}. We show that the qualitative extended reachability problem is decidable in polynomial time, and that the set of all configurations for which there is a winning strategy is effectively regular. More precisely, this set can be represented by a deterministic finite-state automaton with a fixed number of control states. This result is a generalization of a recent theorem by
  • We consider a class of infinite-state Markov decision processes generated by stateless pushdown automata. This class corresponds to 1.5-player games over graphs generated by BPA systems or (equivalently) 1-exit recursive state machines. An extended reachability objective is specified by two sets S and T of safe and terminal stack configurations, where the membership to S and T depends just on the top-of-the-stack symbol. The question is whether there is a suitable strategy such that the probability of hitting a terminal configuration by a path leading only through safe configurations is equal to (or different from) a given x in {0,1}. We show that the qualitative extended reachability problem is decidable in polynomial time, and that the set of all configurations for which there is a winning strategy is effectively regular. More precisely, this set can be represented by a deterministic finite-state automaton with a fixed number of control states. This result is a generalization of a recent theorem by (en)
Title
  • Reachability in Recursive Markov Decision Processes
  • Reachability in Recursive Markov Decision Processes (en)
  • Dosažitelnost pro Markovovy rozhodovací procesy (cs)
skos:prefLabel
  • Reachability in Recursive Markov Decision Processes
  • Reachability in Recursive Markov Decision Processes (en)
  • Dosažitelnost pro Markovovy rozhodovací procesy (cs)
skos:notation
  • RIV/00216224:14330/06:00017081!RIV08-MSM-14330___
http://linked.open.../vavai/riv/strany
  • 358-374
http://linked.open...avai/riv/aktivita
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  • P(1M0545), Z(MSM0021622419)
http://linked.open...iv/cisloPeriodika
  • Summer
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  • 496473
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  • RIV/00216224:14330/06:00017081
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  • Markov decision processes; reachability (en)
http://linked.open.../riv/klicoveSlovo
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  • DE - Spolková republika Německo
http://linked.open...ontrolniKodProRIV
  • [922875A32EEC]
http://linked.open...i/riv/nazevZdroje
  • Lecture Notes in Computer Science
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  • 4137
http://linked.open...iv/tvurceVysledku
  • Brožek, Václav
  • Brázdil, Tomáš
  • Forejt, Vojtěch
  • Kučera, Antonín
http://linked.open...n/vavai/riv/zamer
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  • 0302-9743
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  • 14330
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