A Set-Theoretic Framework for Assume-Guarantee Reasoning

  • Authors:
  • Patrick Maier

  • Affiliations:
  • -

  • Venue:
  • ICALP '01 Proceedings of the 28th International Colloquium on Automata, Languages and Programming,
  • Year:
  • 2001

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Abstract

We present a circular assume-guarantee rule in an abstract setting (of sets over a partially-ordered domain). The rule has a mathematically concise side condition. Now, in order to prove an assume-guarantee rule in a concrete setting, all we need to do is to is to instantiate the abstract setting and check the side condition; i.e., we need not redo the notorious circularity argument again. We use this framework to prove a new assume-guarantee rule for Kripke structures. That rule generalizes existing assume-guarantee rules for other settings such as Reactive Modules or Mealy machines.