Compositional Abstraction in Real-Time Model Checking

  • Authors:
  • Jasper Berendsen;Frits Vaandrager

  • Affiliations:
  • ICIS, Radboud University Nijmegen, Nijmegen, The Netherlands 6500 GL;ICIS, Radboud University Nijmegen, Nijmegen, The Netherlands 6500 GL

  • Venue:
  • FORMATS '08 Proceedings of the 6th international conference on Formal Modeling and Analysis of Timed Systems
  • Year:
  • 2008

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Abstract

The idea to use simulations (or refinements) as a compositional abstraction device is well-known, both in untimed and timed settings, and has already been studied theoretically and practically in many papers during the last three decades. Nevertheless, existing approaches do not handle two fundamental modeling concepts which, for instance, are frequently used in the popular Uppaalmodel checker: (1) a parallel composition operator that supports communication via shared variables as well as synchronization of actions, and (2) committed locations. We describe a framework for compositional abstraction based on simulation relations that does support both concepts, and that is suitable for Uppaal. Our approach is very general and the only essential restriction is that the guards of input transitions do not depend on external variables. We have applied our compositional framework to verify the Zeroconf protocol for an arbitrary number of hosts.