A Characterisation of Open Bisimilarity using an Intuitionistic Modal Logic
Date
2021
Authors
Ahn, Ki Yung
Horne, Ross
Tiu, Alwen
Journal Title
Journal ISSN
Volume Title
Publisher
International Federation of Computational Logic (IfCoLog)
Abstract
Open bisimilarity is defined for open process terms in which free variables may appear. The insight is, in order to characterise open bisimilarity, we move to the setting of intuitionistic modal logics. The intuitionistic modal logic introduced, called OM, is such that modalities are closed under substitutions, which induces a property known as intuitionistic hereditary. Intuitionistic hereditary reflects in logic the lazy instantiation of free variables performed when checking open bisimilarity. The soundness proof for open bisimilarity with respect to our intuitionistic modal logic is mechanised in Abella. The constructive content of the completeness proof provides an algorithm for generating distinguishing formulae, which we have implemented. We draw attention to the fact that there is a spectrum of bisimilarity congruences that can be characterised by intuitionistic modal logics.
Description
Keywords
bisimulation, modal logic, intuitionistic logic.
Citation
Collections
Source
Logical Methods in Computer Science
Type
Journal article
Book Title
Entity type
Access Statement
Open Access
License Rights
DOI
10.46298/LMCS-17(3:2)2021