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  • 标题:A Characterisation of Open Bisimilarity using an Intuitionistic Modal Logic
  • 本地全文:下载
  • 作者:Ki Yung Ahn ; Ross Horne ; Alwen Tiu
  • 期刊名称:LIPIcs : Leibniz International Proceedings in Informatics
  • 电子版ISSN:1868-8969
  • 出版年度:2017
  • 卷号:85
  • 页码:7:1-7:17
  • DOI:10.4230/LIPIcs.CONCUR.2017.7
  • 出版社:Schloss Dagstuhl -- Leibniz-Zentrum fuer Informatik
  • 摘要: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.
  • 关键词:bisimulation; modal logic; intuitionistic logic
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