Modelling and Verifying Mobile Systems Using π -Graphs

  • Authors:
  • Frédéric Peschanski;Joël-Alexis Bialkiewicz

  • Affiliations:
  • LIP6 - UPMC Paris Universitas,;LIP6 - UPMC Paris Universitas,

  • Venue:
  • SOFSEM '09 Proceedings of the 35th Conference on Current Trends in Theory and Practice of Computer Science
  • Year:
  • 2009

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Abstract

This paper introduces the π -graphs, a graphicalmodel of mobile interactions that tries to accommodate theexpressivity of the π -calculus and the intuitiveness ofplace-transition nets. Graph rewriting techniques are used todescribe the operational semantics of π -graphs. Thebijective encoding/decoding of π -graphs allows to mixtransparently graphical and term-based proof techniques, whichleads to a dual characterization of bisimilarity. The mainoriginality of this characterization is the synchronousinterpretation it provides: each graph/term being attached to aclock evolving at the rate of interactions with the environment.This gives new opportunities for the design of efficientverification algorithms for mobile systems.