Approximated parameterized verification of infinite-state processes with global conditions

  • Authors:
  • Parosh Aziz Abdulla;Giorgio Delzanno;Ahmed Rezine

  • Affiliations:
  • Division of Computer Systems, Uppsala University, Uppsala, Sweden 75105;Dipartimento di Informatica e Scienze dell'Informazione, Università di Genova, Genova, Italy 16146;Laboratoire d'Informatique Algorithmique: Fondements et Applications, Université Paris 7, Paris Cedex 13, France 75205

  • Venue:
  • Formal Methods in System Design
  • Year:
  • 2009

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Abstract

We present a simple and effective approximated backward reachability procedure for parameterized systems with existentially and universally quantified global conditions. The individual processes operate on unbounded local variables ranging over the natural numbers. In addition, processes may communicate via broadcast, rendez-vous and shared variables. The procedure operates on an over-approximation of the transition system induced by the parameterized system. We verify mutual exclusion for complex protocols such as atomic, non-atomic and distributed versions of Lamport's bakery algorithm.