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arXiv · 1106.1978

An Algorithm for Probabilistic Alternating Simulation

Chenyi Zhang·Jun Pang
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Abstract

In probabilistic game structures, probabilistic alternating simulation (PA-simulation) relations preserve formulas defined in probabilistic alternating-time temporal logic with respect to the behaviour of a subset of players. We propose a partition based algorithm for computing the largest PA-simulation, which is to our knowledge the first such algorithm that works in polynomial time, by extending the generalised coarsest partition problem (GCPP) in a game-based setting with mixed strategies. The algorithm has higher complexities than those in the literature for non-probabilistic simulation and probabilistic simulation without mixed actions, but slightly improves the existing result for computing probabilistic simulation with respect to mixed actions.

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Chenyi Zhang, Jun Pang. 2012-06-08. An Algorithm for Probabilistic Alternating Simulation. https://arxiv.org/abs/1106.1978

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