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Model checking the probabilistic pi-calculus

Authors
Publication Date
Keywords
  • Qa75 Electronic Computers. Computer Science
Disciplines
  • Mathematics

Abstract

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

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