Barbed Congruence of Asymmetry and Mismatch

The \chi calculus is a model of concurrent and mobile systems. Itemphasizes that communications are information exchanges. In the paper,two constructions are incorporated into the framework of the chicalculus, which are asymmetric communication and mismatch conditionwidely used in applications. Since the barbed bisimilarity has provedits generality and gained its popularity as an effective approach togenerating a reasonable observational equivalence, we study both theoperational and algebraic properties of the barbed bisimilarity in thisenriched calculus. The investigation supports an improved understandingof the bisimulation behaviors of the model. It also gives a generalpicture of how the two constructions affect the observational theory.