Hennessy-Milner Properties via Topological Compactness

Published 5 May 2021 in math.LO | (2105.01855v1)

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.

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