A Simulation Preorder for Abstraction of Reactive Systems

  • Authors:
  • Ferucio Laurentiu Tiplea;Aurora Tiplea

  • Affiliations:
  • -;-

  • Venue:
  • VMCAI '02 Revised Papers from the Third International Workshop on Verification, Model Checking, and Abstract Interpretation
  • Year:
  • 2002

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Abstract

W e present a simulation preorder for reactive systems modeled by fair Kripke structures whose transition relation is divided into two parts, internal and external. The first one models the internal behaviour of the system, while the second one is used to model the interaction with an environment. We show that our simulation preorder preserves a substantial subset of 驴CTL*. Then, we present an abstraction technique for systems composed by multiple modules and we show that each such system is smaller in the simulation preorder than its "augmented" components. We illustrate our abstraction methodology by applying it to Petri net reactive systems.