A categorical duality links algebraic and birelational semantics for constructive modal logic CK, enabling Sahlqvist correspondence, completeness, and Goldblatt-Thomason definability theorems.
Birkhoff
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Most properties including Kripke completeness, finite model property, and decidability are undecidable for transitive tense logics in NExt(K4t).
Earlier definitions of equivalence relations, Cauchy sequences, and metric spaces were replaced but could usefully be revived according to this historical analysis.
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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.
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Most Properties are Undecidable for Transitive Tense Logics
Most properties including Kripke completeness, finite model property, and decidability are undecidable for transitive tense logics in NExt(K4t).
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The history of three wrong definitions
Earlier definitions of equivalence relations, Cauchy sequences, and metric spaces were replaced but could usefully be revived according to this historical analysis.