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Bibliographic Details
Main Authors: Bezhanishvili, Nick, Cleani, Antonio Maria
Format: Preprint
Published: 2025
Subjects:
Online Access:https://arxiv.org/abs/2511.09824
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author Bezhanishvili, Nick
Cleani, Antonio Maria
author_facet Bezhanishvili, Nick
Cleani, Antonio Maria
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2511_09824
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Pre-filtrations, Pre-stable Canonical Rules, and the Kuznetsov-Muravitsky Isomorphism
Bezhanishvili, Nick
Cleani, Antonio Maria
Logic
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.
title Pre-filtrations, Pre-stable Canonical Rules, and the Kuznetsov-Muravitsky Isomorphism
topic Logic
url https://arxiv.org/abs/2511.09824