Verifying Temporal Properties Using Explicit Approximants: Completeness for Context-free Processes

  • Authors:
  • Ulrich Schöpp;Alex K. Simpson

  • Affiliations:
  • -;-

  • Venue:
  • FoSSaCS '02 Proceedings of the 5th International Conference on Foundations of Software Science and Computation Structures
  • Year:
  • 2002

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Abstract

We present a sequent calculus for formally verifying modal 碌-calculus properties of concurrent processes. Building on work by Dam and Gurov, the proof system contains rules for the explicit manipulation of fixed-point approximants. We develop a new syntax for approximants, incorporating, in particular, modalities for approximant modification. We make essential use of this feature to prove our main result: the sequent calculus is complete for establishing arbitrary 碌-calculus properties of context-free processes.