English

Hennessy-Milner Properties via Topological Compactness

Logic 2021-05-06 v1

Abstract

We give Hennessy-Milner classes for intuitionistic, dual-intuitionistic and bi-intuitionistic logic interpreted in intuitionistic Kripke models, and generalise these results to modal (dual- and bi-)intuitionistic logics. Our main technical tools are image-compact and pre-image-compact relations that provide a semantical description of modal saturation properties.

Keywords

Cite

@article{arxiv.2105.01855,
  title  = {Hennessy-Milner Properties via Topological Compactness},
  author = {Jim de Groot and Dirk Pattinson},
  journal= {arXiv preprint arXiv:2105.01855},
  year   = {2021}
}
R2 v1 2026-06-24T01:47:24.205Z