Separation logic adapted for proofs by rewriting

  • Authors:
  • Magnus O. Myreen

  • Affiliations:
  • Computer Laboratory, University of Cambridge, UK

  • Venue:
  • ITP'10 Proceedings of the First international conference on Interactive Theorem Proving
  • Year:
  • 2010

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Abstract

We present a formalisation of separation logic which, by avoiding the use of existential quantifiers, allows proofs that only use standard equational rewriting methods as found in off-the-shelf theorem provers. This proof automation is sufficiently strong to free the user from dealing with low-level details in proofs of functional correctness. The work presented here has been implemented in HOL4 and ACL2. It is illustrated on a standard example (reversal of a linked-list).