About: Qualitative Reachability in Stochastic BPA Games     Goto   Sponge   NotDistinct   Permalink

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  • We consider a class of infinite-state stochastic games generated by stateless pushdown automata (or, equivalently, 1-exit recursive state machines), where the winning objective is specified by a regular set of target configurations and a qualitative probability constraint `>0' or `=1'. The goal of one player is to maximize the probability of reaching the target set so that the constraint is satisfied, while the other player aims at the opposite. We show that the winner in such games can be determined in PTIME for the `>0' constraint, and in NP intersect. coNP for the `=1' constraint. Further, we prove that the winning regions for both players are regular, and we design algorithms which compute the associated finite-state automata. Finally, we show that winning strategies can be synthesized effectively.
  • We consider a class of infinite-state stochastic games generated by stateless pushdown automata (or, equivalently, 1-exit recursive state machines), where the winning objective is specified by a regular set of target configurations and a qualitative probability constraint `>0' or `=1'. The goal of one player is to maximize the probability of reaching the target set so that the constraint is satisfied, while the other player aims at the opposite. We show that the winner in such games can be determined in PTIME for the `>0' constraint, and in NP intersect. coNP for the `=1' constraint. Further, we prove that the winning regions for both players are regular, and we design algorithms which compute the associated finite-state automata. Finally, we show that winning strategies can be synthesized effectively. (en)
Title
  • Qualitative Reachability in Stochastic BPA Games
  • Qualitative Reachability in Stochastic BPA Games (en)
skos:prefLabel
  • Qualitative Reachability in Stochastic BPA Games
  • Qualitative Reachability in Stochastic BPA Games (en)
skos:notation
  • RIV/00216224:14330/11:00051537!RIV12-MSM-14330___
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • P(1M0545), Z(MSM0021622419)
http://linked.open...iv/cisloPeriodika
  • 8
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
http://linked.open.../riv/druhVysledku
http://linked.open...iv/duvernostUdaju
http://linked.open...titaPredkladatele
http://linked.open...dnocenehoVysledku
  • 225366
http://linked.open...ai/riv/idVysledku
  • RIV/00216224:14330/11:00051537
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • pushdown automata; turn-based games (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • NL - Nizozemsko
http://linked.open...ontrolniKodProRIV
  • [CE9003B44DF0]
http://linked.open...i/riv/nazevZdroje
  • Information and Computation
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
http://linked.open...cetTvurcuVysledku
http://linked.open...vavai/riv/projekt
http://linked.open...UplatneniVysledku
http://linked.open...v/svazekPeriodika
  • 209
http://linked.open...iv/tvurceVysledku
  • Brožek, Václav
  • Brázdil, Tomáš
  • Kučera, Antonín
  • Obdržálek, Jan
http://linked.open...n/vavai/riv/zamer
issn
  • 0890-5401
number of pages
http://localhost/t...ganizacniJednotka
  • 14330
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