An Approximation Semantics for the Propositional Mu-Calculus

  • Authors:
  • Roger Villemaire

  • Affiliations:
  • -

  • Venue:
  • MFCS '02 Proceedings of the 27th International Symposium on Mathematical Foundations of Computer Science
  • Year:
  • 2002

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Abstract

We give a new semantics for the propositional 碌-calculus, prove that it is equivalent to the standard semantics and use it in order to propose a constraint based axiomatization of the 碌-calculus. We show that our axiomatization is sound relatively to our semantics. Completeness of the system is the topic of ongoing research but we give a simple example of how our system could be used to construct a finite counter-example of an unprovable sentence.