English

Generalized Vietoris Bisimulations

Logic in Computer Science 2018-04-10 v1 Logic

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 Stone\mathbf{Stone} coalgebra is the topological closure of bisimulation for the underlying Set\mathbf{Set} coalgebra.

Keywords

Cite

@article{arxiv.1412.4586,
  title  = {Generalized Vietoris Bisimulations},
  author = {Sebastian Enqvist and Sumit Sourabh},
  journal= {arXiv preprint arXiv:1412.4586},
  year   = {2018}
}
R2 v1 2026-06-22T07:31:38.086Z