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[BBBK16] B. Barbot, N. Basset, M. Beunardeau and M. Kwiatkowska. Uniform Sampling for Timed Automata with Application to Language Inclusion Measurement. In Proc. 13th International Conference on Quantitative Evaluation of SysTems (QEST 2016), Springer. To appear. 2016. [pdf] [bib]
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Notes: An extended version of this paper can be found here. The original publication is available at link.springer.com.
Abstract. Monte Carlo model checking introduced by Smolka and Grosu is an approach to analyse non-probabilistic models using sampling and draw conclusions with a given con fidence interval by applying statistical inference. Though not exhaustive, the method enables veri fication of complex models, even in cases where the underlying problem is undecidable. In this paper we develop Monte Carlo model checking techniques to evaluate quantitative properties of timed languages. Our approach is based on uniform random sampling of behaviours, as opposed to isotropic sampling that chooses the next step uniformly at random. The uniformity is de fined with respect to volume measure of timed languages previously studied by Asarin, Basset and Degorre. We improve over their work by employing a zone graph abstraction instead of the region graph abstraction and incorporating uniform sampling within a zone-based Monte Carlo model checking framework. We implement our algorithms using tools PRISM, SageMath and COSMOS, and demonstrate their usefulness on statistical language inclusion measurement in terms of volume.