Partial S-Invariants for the Verification of Infinite Systems Families

  • Authors:
  • Walter Vogler

  • Affiliations:
  • -

  • Venue:
  • ICATPN '01 Proceedings of the 22nd International Conference on Application and Theory of Petri Nets
  • Year:
  • 2001

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Abstract

We introduce partial S-invariants of Petri nets, which can help to determine invariants and to prove safety if large nets are built from smaller ones using parallel composition withsync hronous communication. Partial S-invariants can support compositional reduction and, in particular, the fixed-point approach, used for verifying infinite parameterized families of concurrent systems. Withpartial S-invariants and the fixed-point approach we prove the correctness of two solutions to the MUTEX-problem based on token rings; for this, we only have to prove liveness of a simplified version due to previous results.