A Compositional Coalgebraic Model of Monadic Fusion Calculus

We propose a compositional coalgebraic semantics of the Fusion calculus of Parrow and Victor in the version with explicit fusions by Gardner and Wischik. We follow a recent approach developed by the authors and previously applied to the pi-calculus for lifting calculi with structural axioms to bialgebraic models. In our model, the unique morphism to the final bialgebra induces a bisimilarity relation which coincides with hyperequivalence and which is a congruence with respect to the operations. Interestingly enough, the explicit fusion approach allows to exploit for the Fusion calculus essentially the same algebraic structure used for the pi-calculus.