Bisimulation through probabilistic testing (preliminary report)
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This paper outlines an approach for measuring information flow within reactive probabilistic systems. First, we present the probabilistic model of reactive labelled transition system with input-output actions. Second, we present the language and semantics for simple reactive processes, and investigate the quantified information flow analysis over this semantics. Third, we define a metric over the semantics and then present a method to compute the leakage in reactive processes. The metric we considered is the square root of the Jensen-Shannon divergence: the quantitative information is contained in the distance between state transformations given by a process metric. Finally, we show that there is a connection between our leakage definition and mutual information in the framework of information theory.