How to compute the refinement relation for parameterized systems

  • Authors:
  • Françoise Bellegarde;Célina Charlet;Olga Kouchnarenko

  • Affiliations:
  • Université de Franche-Comté, Besançon, Cedex France;Université de Franche-Comté, Besançon, Cedex France;Université de Franche-Comté, Besançon, Cedex France

  • Venue:
  • Formal methods and models for system design
  • Year:
  • 2004

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Abstract

In this paper, we present a refinement verification for a class of parameterized systems. These systems are composed of an arbitrary number of similar processes. Following the approach by P. Abdulla et al., we represent the states by regular languages and the transitions by transducers over regular languages. If we can compute a symbolic model by acceleration of the actions, then we can also verify a refinement relation R between the symbolic models. We show that, under some conditions, if R is verified between two symbolic models, then refinement is verified between concrete parameterized systems. Then, we can take advantage the property (safety and PLTL properties) preservation by refinement for their verification.