License: Creative Commons Attribution 3.0 Unported license (CC BY 3.0)
When quoting this document, please refer to the following
DOI: 10.4230/LIPIcs.CONCUR.2017.7
URN: urn:nbn:de:0030-drops-77899
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Ahn, Ki Yung ; Horne, Ross ; Tiu, Alwen

A Characterisation of Open Bisimilarity using an Intuitionistic Modal Logic

LIPIcs-CONCUR-2017-7.pdf (0.6 MB)


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.

BibTeX - Entry

  author =	{Ki Yung Ahn and Ross Horne and Alwen Tiu},
  title =	{{A Characterisation of Open Bisimilarity using an Intuitionistic Modal Logic}},
  booktitle =	{28th International Conference on Concurrency Theory (CONCUR 2017)},
  pages =	{7:1--7:17},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-048-4},
  ISSN =	{1868-8969},
  year =	{2017},
  volume =	{85},
  editor =	{Roland Meyer and Uwe Nestmann},
  publisher =	{Schloss Dagstuhl--Leibniz-Zentrum fuer Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{},
  URN =		{urn:nbn:de:0030-drops-77899},
  doi =		{10.4230/LIPIcs.CONCUR.2017.7},
  annote =	{Keywords: bisimulation, modal logic, intuitionistic logic}

Keywords: bisimulation, modal logic, intuitionistic logic
Collection: 28th International Conference on Concurrency Theory (CONCUR 2017)
Issue Date: 2017
Date of publication: 01.09.2017

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