Familial Monads and Structural Operational Semantics

Tom Hirschowitz (1)

1 LAMA - Laboratoire de Mathématiques

We propose a categorical framework for structural operational semantics, in which we prove that under suitable hypotheses bisimilarity is a congruence. We then refine the framework to prove soundness of bisimulation up to context, an efficient method for reducing the size of bisimulation relations. Finally, we demonstrate the flexibility of our approach by reproving known results in three variants of the pi-calculus.

Mots clés: familial monads; category theory; Operational semantics; Process calculi; Categorical semantics

Domaines: Logique en informatique [cs.LO]; Langage de programmation [cs.PL]

Tom Hirschowitz. Familial Monads and Structural Operational Semantics. Proceedings of the ACM on Programming Languages, 2019, 3 (POPL), pp.1-28. ⟨10.1145/3290334⟩. ⟨hal-01815328v4⟩