A Characterisation of Open Bisimilarity using an Intuitionistic Modal Logic

Authors Ki Yung Ahn, Ross Horne, Alwen Tiu

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Ki Yung Ahn
Ross Horne
Alwen Tiu

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Ki Yung Ahn, Ross Horne, and Alwen Tiu. A Characterisation of Open Bisimilarity using an Intuitionistic Modal Logic. In 28th International Conference on Concurrency Theory (CONCUR 2017). Leibniz International Proceedings in Informatics (LIPIcs), Volume 85, pp. 7:1-7:17, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2017)


Open bisimilarity is a strong bisimulation congruence for the pi-calculus. In open bisimilarity, free names in processes are treated as variables that may be instantiated; in contrast to late bisimilarity where free names are constants. An established modal logic due to Milner, Parrow, and Walker characterises late bisimilarity, that is, two processes satisfy the same set of formulae if and only if they are bisimilar. We propose an intuitionistic variation of this modal logic and prove that it characterises open bisimilarity. The soundness proof is mechanised in Abella. The completeness proof provides an algorithm for generating distinguishing formulae, useful for explaining and certifying whenever processes are non-bisimilar.
  • bisimulation
  • modal logic
  • intuitionistic logic


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