Automatic Verification of Competitive Stochastic Systems
Authors | |
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Year of publication | 2013 |
Type | Article in Periodical |
Magazine / Source | Formal Methods in System Design |
MU Faculty or unit | |
Citation | |
Doi | http://dx.doi.org/10.1007/s10703-013-0183-7 |
Field | Informatics |
Keywords | Quantitative verification; Probabilistic model checking; Stochastic multi-player games; Probabilistic temporal logic |
Description | 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 an algorithm for verifying properties expressed in this logic and implement the techniques in a probabilistic model checker, as an extension of 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 in Microgrids and collective decision making for autonomous systems. |
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