Relational extensions of Tarski and Thomason dualities are constructed to relate bisimulations between frames to relations between predicates in infinitary classical logics.
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A categorical duality links algebraic and birelational semantics for constructive modal logic CK, enabling Sahlqvist correspondence, completeness, and Goldblatt-Thomason definability theorems.
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Duality for Constructive Modal Logics: from Sahqlvist to Goldblatt-Thomason
A categorical duality links algebraic and birelational semantics for constructive modal logic CK, enabling Sahlqvist correspondence, completeness, and Goldblatt-Thomason definability theorems.