Automatic verification of competitive stochastic systems

  • Authors:
  • Taolue Chen;Vojtěch Forejt;Marta Kwiatkowska;David Parker;Aistis Simaitis

  • Affiliations:
  • Department of Computer Science, University of Oxford, Oxford, UK;Department of Computer Science, University of Oxford, Oxford, UK;Department of Computer Science, University of Oxford, Oxford, UK;Department of Computer Science, University of Oxford, Oxford, UK;Department of Computer Science, University of Oxford, Oxford, UK

  • Venue:
  • TACAS'12 Proceedings of the 18th international conference on Tools and Algorithms for the Construction and Analysis of Systems
  • Year:
  • 2012

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Abstract

We present automatic verification techniques for the modelling and analysis of probabilistic systems that incorporate competitive behaviour. These systems are modelled as turn-based stochastic multi-player games, in which the players can either collaborate or compete in order to achieve a particular goal. We define a temporal logic called rPATL for expressing quantitative properties of stochastic multi-player games. This logic allows us to reason about the collective ability of a set of players to achieve a goal relating to the probability of an event's occurrence or the expected amount of cost/reward accumulated. We give a model checking algorithm for verifying properties expressed in this logic and implement the techniques in a probabilistic model checker, based on the PRISM tool. We demonstrate the applicability and efficiency of our methods by deploying them to analyse and detect potential weaknesses in a variety of large case studies, including algorithms for energy management and collective decision making for autonomous systems.