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.

中文翻译：

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Hennessy-Milner 属性通过拓扑紧致性

我们给出 Hennessy-Milner 类，用于在直觉 Kripke 模型中解释的直觉、双直觉和双直觉逻辑，并将这些结果推广到模态（双和双）直觉逻辑。我们的主要技术工具是图像紧凑和图像前紧凑关系，它们提供了模态饱和特性的语义描述。