Verification of an Off-Line Checker for Priority Queues

  • Authors:
  • Hans De Nivelle;Ruzica Piskac

  • Affiliations:
  • Max Planck Institut fur Informatik, Germany;Max Planck Institut fur Informatik, Germany

  • Venue:
  • SEFM '05 Proceedings of the Third IEEE International Conference on Software Engineering and Formal Methods
  • Year:
  • 2005

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Abstract

We formally verify the result checker for priority queues that is implemented in LEDA. We have developed a method, based on the notion of implementation, which links abstract specifications to concrete implementations. The method allows non-determinism in the abstract specifications that the concrete implementations have to fill in. We have formally verified that, if the checker has not reported an error up to a certain moment, then the structure it checks has behaved like a priority queue up to that moment. For the verification, we have used the first-order theorem prover Saturate.