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 both NP and coNP. 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 both NP and coNP. 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/00216224:14330/09:00034252!RIV10-MSM-14330___
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • P(1M0545), Z(MSM0021622419)
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
  • 337779
http://linked.open...ai/riv/idVysledku
  • RIV/00216224:14330/09:00034252
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • stochastic games; reachability; BPA (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...ontrolniKodProRIV
  • [FA5044838219]
http://linked.open...v/mistoKonaniAkce
  • Freiburg, Germany
http://linked.open...i/riv/mistoVydani
  • Freiburg, Germany
http://linked.open...i/riv/nazevZdroje
  • Proceedings of the 26th International Symposium on Theoretical Aspects of Computer Science
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...iv/tvurceVysledku
  • Brožek, Václav
  • Brázdil, Tomáš
  • Kučera, Antonín
  • Obdržálek, Jan
http://linked.open...vavai/riv/typAkce
http://linked.open.../riv/zahajeniAkce
http://linked.open...n/vavai/riv/zamer
issn
  • 1868-8969
number of pages
http://purl.org/ne...btex#hasPublisher
  • IBFI Schloss Dagstuhl
https://schema.org/isbn
  • 978-3-939897-09-5
http://localhost/t...ganizacniJednotka
  • 14330
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