Generalized Vietoris Bisimulations

Abstract

We introduce and study bisimulations for coalgebras on Stone spaces [14]. Our notion of bisimulation is sound and complete for behavioural equivalence, and generalizes Vietoris bisimulations [4]. The main result of our paper is that bisimulation for a $\mathbf{Stone}$ coalgebra is the topological closure of bisimulation for the underlying $\mathbf{Set}$ coalgebra.

References in corpus (2)

• Relating coalgebraic notions of bisimulation
• Completeness for the coalgebraic cover modality

Cited by in corpus (1)

• Coalgebraic Geometric Logic: Basic Theory