A compositional coalgebraic model of fusion calculus

This paper is a further step in exploring the labelled transitions and bisimulations of fusion calculi. We follow a recent theory by the same authors and previously applied to the pi-calculus for lifting calculi with structural axioms to bialgebras and, thus, we provide a compositional model of the fusion calculus with explicit fusions. In such a model, the bisimilarity relation induced by the unique morphism to the final coalgebra coincides with fusion hyperequivalence and it is a congruence with respect to the operations of the calculus. The key novelty in our work is that we give an account of explicit fusions through labelled transitions. Interestingly enough, this approach allows to exploit for the fusion calculus essentially the same algebraic structure used for the pi-calculus.