[KNPV09] Marta Kwiatkowska, Gethin Norman, David Parker and Maria Grazia Vigliotti. Probabilistic Mobile Ambients. Theoretical Computer Science, 410(12-13), pages 1272-1303, Elsevier. March 2009. [ps.gz] [pdf] [bib] [Presents a probabilistic version of the Mobile Ambients calculus and an accompanying case study using PRISM.]
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Abstract. The calculus of Mobile Ambients has been introduced for expressing mobility and mobile computation. In this paper we present a probabilistic version of Mobile Ambients by augmenting the syntax of the original Ambient Calculus with a (guarded) probabilistic choice operator. To allow for the representation of both the probabilistic behaviour introduced through the new probabilistic choice operator and the nondeterminism present in the original Ambient Calculus we use probabilistic automata as the underpinning semantic model. The Ambient logic is a logic for Mobile Ambients that contains a novel treatment of both locations and hidden names. To specifying properties of Probabilistic Mobile Ambients, we extend this logic to specify probabilistic behaviour. In addition, to show the utility of our approach we present an example of a virus infecting a network.