A Characterisation of Open Bisimilarity using an Intuitionistic Modal Logic

Open bisimilarity is defined for open process terms in which free variables may appear. The insight is, order to characterise bisimilarity, we move the setting of intuitionistic modal logics. logic introduced, called $\mathcal{OM}$, such that modalities are closed under substitutions, induces a property known as hereditary. Intuitionistic hereditary reflects lazy instantiation performed when checking bisimilarity. soundness proof with respect our mechanised Abella. constructive content completeness provides an algorithm generating distinguishing formulae, have implemented. We draw attention fact there spectrum congruences can be characterised by