Stochastic real-time games with qualitative timed automata objectives

  • Authors:
  • Tomáš Brázdil;Jan Krčál;Jan Křetínský;Antonín Kucěra;Vojtečh Řehák

  • Affiliations:
  • Faculty of Informatics, Masaryk University, Brno, Czech Republic;Faculty of Informatics, Masaryk University, Brno, Czech Republic;Faculty of Informatics, Masaryk University, Brno, Czech Republic;Faculty of Informatics, Masaryk University, Brno, Czech Republic;Faculty of Informatics, Masaryk University, Brno, Czech Republic

  • Venue:
  • CONCUR'10 Proceedings of the 21st international conference on Concurrency theory
  • Year:
  • 2010

Quantified Score

Hi-index 0.00

Visualization

Abstract

We consider two-player stochastic games over real-time probabilistic processes where the winning objective is specified by a timed automaton. The goal of player □ is to play in such a way that the play (a timed word) is accepted by the timed automaton with probability one. Player ⋄ aims at the opposite. We prove that whenever player □ has a winning strategy, then she also has a strategy that can be specified by a timed automaton. The strategy automaton reads the history of a play, and the decisions taken by the strategy depend only on the region of the resulting configuration. We also give an exponential-time algorithm which computes a winning timed automaton strategy if it exists.