New up-to techniques for weak bisimulation

  • Authors:
  • Damien Pous

  • Affiliations:
  • LIP, ENS Lyon - CNRS - INRIA - UCBL, France

  • Venue:
  • Theoretical Computer Science
  • Year:
  • 2007

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Abstract

Up-to techniques have been introduced to enhance the bisimulation proof method for establishing bisimilarity results. While up-to techniques for strong bisimilarity are well understood, the irregularities that appear in the weak case make it difficult to give a unified presentation. We propose a uniform and modular theory of up-to techniques for weak bisimulation that captures most of the existing proof technology and introduces new techniques. Some proofs rely on nontrivial-and new-commutation results based on termination guarantees. All results presented in this paper have been formally proved using the Coq proof assistant.