Instantiation for Parameterised Boolean Equation Systems

  • Authors:

  • A. Dam;B. Ploeger;T. A. Willemse

  • Affiliations:

  • Department of Mathematics and Computer Science, Eindhoven University of Technology, Eindhoven, The Netherlands 5600 MB;Department of Mathematics and Computer Science, Eindhoven University of Technology, Eindhoven, The Netherlands 5600 MB;Department of Mathematics and Computer Science, Eindhoven University of Technology, Eindhoven, The Netherlands 5600 MB

  • Venue:
  • Proceedings of the 5th international colloquium on Theoretical Aspects of Computing
  • Year:
  • 2008

Quantified Score

Hi-index 0.00

Visualization

Abstract

Verification problems for finite- and infinite-state processes, like model checking and equivalence checking, can effectively be encoded in Parameterised Boolean Equation Systems (PBESs). Solving the PBES solves the encoded problem. The decidability of solving a PBES depends on the data sorts that occur in the PBES. We describe a manipulation for transforming a given PBES to a simpler PBES that may admit solution methods that are not applicable to the original one. Depending on whether the data sorts occurring in the PBES are finite or countable, the resulting PBES can be a Boolean Equation System (BES) or an Infinite Boolean Equation System (IBES). Computing the solution to a BES is decidable. Computing the global solution to an IBES is still undecidable, but for partial solutions (which suffices for e.g.local model checking), effective tooling is possible. We give examples that illustrate the efficacy of our techniques.