Property preserving simulations

  • S. Bensalem
  • A. Bouajjani
  • C. Loiseaux
  • J. Sifakis
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 663)


We study property preserving transformations for reactive systems. A key idea is the use of <ϕ, ψ>-simulations which are simulations parameterized by a Galois connection (ϕ, ψ), relating the lattices of properties of two systems.

We propose and study a notion of preservation of properties expressed by formulas of a logic, by a function ϕ mapping sets of states of a system S into sets of states of a system S'. Roughly speaking, ϕ preserves f if the satisfaction of f at some state of S implies that f is satisfied by any state in the image of this state by ϕ.

The main results concern the preservation of properties expressed in sublanguages of the branching time μ-calculus when two systems S and S' are related via <ϕ,ψ>-simulations. They can be used in particular to verify a property for a system by proving this property on a simpler system which is an abstraction of it.


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Copyright information

© Springer-Verlag Berlin Heidelberg 1993

Authors and Affiliations

  • S. Bensalem
    • 1
  • A. Bouajjani
    • 1
  • C. Loiseaux
    • 1
  • J. Sifakis
    • 1
  1. 1.IMAG-LGIGrenoble

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