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arXiv · 2511.09824

Pre-filtrations, Pre-stable Canonical Rules, and the Kuznetsov-Muravitsky Isomorphism

Nick Bezhanishvili·Antonio Maria Cleani
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Abstract

We introduce pre-filtration and pre-stable canonical rules for the Kuznetsov-Muravitsky system of intuitionistic modal logic and provide a new proof of the Kuznetsov-Muravitsky isomorphism, along with several preservation results. The proofs employ these rules and a duality between modal (Heyting) algebras and their corresponding order-topological spaces.

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Nick Bezhanishvili, Antonio Maria Cleani. 2025-11-13. Pre-filtrations, Pre-stable Canonical Rules, and the Kuznetsov-Muravitsky Isomorphism. https://arxiv.org/abs/2511.09824

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