On-the-Fly Symmetry Reduction of Explicitly Represented Probabilistic Models

Abstract

Quantitative analysis of concurrent systems becomes intract-able due to searches over the enormous state space. Since these systems often contain many identical processes consisting of symmetrical and interchangeable components, this problem can be tackled using symmetry reduction. In this paper, we present an on-the-fly symmetry reduction technique that is applicable to explicitly represented models in the probabilistic setting. We have performed the experiments by integrating our technique into PRISM probabilistic model checker. Experimental results are very encouraging with considerable reductions in both the time taken for property evaluation and the associated memory usage.