Decidability of invariant validation for paramaterized systems

  • Authors:
  • Pascal Fontaine;E. Pascal Gribomont

  • Affiliations:
  • University of Liège, Belgium;University of Liège, Belgium

  • Venue:
  • TACAS'03 Proceedings of the 9th international conference on Tools and algorithms for the construction and analysis of systems
  • Year:
  • 2003

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Abstract

The control part of many concurrent and distributed programs reduces to a set Π = {p1, ..., pn} of symmetric processes containing mainly assignments and tests on Boolean variables. However, the assignments, the guards and the program invariants can be Π-quantified, so the corresponding verification conditions also involve Π-quantifications. We propose a systematic procedure allowing the elimination of such quantifications for a large class of program invariants. At the core of this procedure is a variant of the Herbrand Theorem for many-sorted first-order logic with equality.