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math.LO2026
Duality for Constructive Modal Logics: from Sahqlvist to Goldblatt-Thomason
Jim de Groot, Ian Shillito, Ranald Clouston
We carry out a semantic study of the constructive modal logic CK. We provide a categorical duality linking the algebraic and birelational semantics of the logic. We then use this t…
math.LO2025
Bi-intuitionistic logics through the abstract algebraic logic lens
Jonte Deakin, Ian Shillito
Since the discovery of critical mistakes in Rauszer's work on bi-intuitionistic logics, solid foundations for these have progressively been rebuilt. However, the algebraic treatmen…