Fourth International Conference on the Quantitative Evaluation of Systems (QEST 2007)
Model checking the probabilistic pi-calculus
Edinburgh, Scotland, UK
September 17-September 19
ISBN: 0-7695-2883-X
Peng Wu, CNRS and LIX, Ecole Polytechnique, France
We present an implementation of model checking for the probabilistic \pi-calculus, a process algebra which supports modelling of concurrency, mobility and discrete probabilistic behaviour. Formal verification techniques for this calculus have clear applications in several domains, including mobile ad-hoc network protocols and random security protocols. Despite this, no implementation of automated verification exists. Building upon the (non-probabilistic) \pi- calculus model checker MMC, we first show an automated procedure for constructing the Markov decision process representing a probabilistic \pi-calculus process. This can then be verified using existing probabilistic model checkers such as PRISM. Secondly, we demonstrate how for a large class of systems a more efficient, compositional approach can be applied, which uses our extension of MMC on each parallel component of the system and then translates the results into a high-level model description for the PRISM tool. The feasibility of our techniques is demonstrated through three case studies from the \pi-calculus literature.
Citation:
Gethin Norman, Catuscia Palamidessi, David Parker, Peng Wu, "Model checking the probabilistic pi-calculus," qest, pp.169-178, Fourth International Conference on the Quantitative Evaluation of Systems (QEST 2007), 2007