Mechanized Operational Semantics via (Co)Induction

  • Authors:
  • Simon Ambler;Roy L. Crole

  • Affiliations:
  • -;-

  • Venue:
  • TPHOLs '99 Proceedings of the 12th International Conference on Theorem Proving in Higher Order Logics
  • Year:
  • 1999

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Abstract

We give a fully automated description of a small programming language PL in the theorem prover Isabelle98. The language syntax and semantics are encoded, and we formally verify a range of semantic properties. This is achieved via uniform (co)inductive methods. We encode notions of bisimulation and contextual equivalence. The main original contribution of this paper is a fully automated proof that PL bisimulation coincides with PL contextual equivalence.