# Model checking probabilistic and stochastic extensions of the $\pi$-calculus

2 COMETE - Concurrency, Mobility and Transactions
LIX - Laboratoire d'informatique de l'École polytechnique [Palaiseau], Inria Saclay - Ile de France, X - École polytechnique, CNRS - Centre National de la Recherche Scientifique : UMR7161
Abstract : We present an implementation of model checking for probabilistic and stochastic extensions of the -calculus, a process algebra which supports modelling of concurrency and mobility. Formal verification techniques for such extensions have clear applications in several domains, including mobile ad-hoc network protocols, probabilistic security protocols and biological pathways. Despite this, no implementation of automated verification exists. Building upon the -calculus model checker MMC, we first show an automated procedure for constructing the underlying semantic model of a probabilistic or stochastic -calculus process. This can then be verified using existing probabilistic model checkers such as PRISM. Secondly, we demonstrate how for processes of a specific structure a more efficient, compositional approach is applicable, which uses our extension of MMC on each parallel component of the system and then translates the results into a high-level modular description for the PRISM tool. The feasibility of our techniques is demonstrated through a number of case studies from the pi-calculus literature.
Document type :
Journal articles
IEEE Transactions of Software Engineering, IEEE Computer Society, 2009, 35 (2), pp.209--223

Cited literature [42 references]

https://hal.inria.fr/inria-00424856
Contributor : Catuscia Palamidessi <>
Submitted on : Monday, October 19, 2009 - 7:56:06 AM
Last modification on : Wednesday, April 25, 2018 - 10:45:27 AM
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• HAL Id : inria-00424856, version 1

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Gethin Norman, Catuscia Palamidessi, David Parker, Peng Wu. Model checking probabilistic and stochastic extensions of the $\pi$-calculus. IEEE Transactions of Software Engineering, IEEE Computer Society, 2009, 35 (2), pp.209--223. 〈inria-00424856〉

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