[KNPS18] Marta Kwiatkowska, Gethin Norman, David Parker and Gabriel Santos. Automated Verification of Concurrent Stochastic Games. In Proc. 15th International Conference on Quantitative Evaluation of SysTems (QEST'18), volume 11024 of LNCS, pages 223-239, Springer. September 2018. [pdf] [bib] [Proposes verification techniques for concurrent stochastic games, and implements and evaluates them in an extension of PRISM-games.]
Abstract. We present automatic verification techniques for concurrent stochastic multi-player games (CSGs) with rewards. To express properties of such models, we adapt the temporal logic rPATL (probabilistic alternating-time temporal logic with rewards), originally introduced for the simpler model of turn-based games, which enables quantitative reasoning about the ability of coalitions of players to achieve goals related to the probability of an event or reward measures. We propose and implement a modelling approach and model checking algorithms for property verification and strategy synthesis of CSGs, as an extension of PRISM-games. We evaluate the performance, scalability and applicability of our techniques on case studies from domains such as security, networks and finance, showing that we can analyse systems with probabilistic, cooperative and competitive behaviour between concurrent components, including many scenarios that cannot be analysed with turn-based models.