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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The paper develops semiring-annotated topological spaces (seats) extending epistemic logic to model resource costs for observing evidence, with sound and strongly complete axiomatizations for resource-indexed modalities.
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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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Knowledge on a Budget
The paper develops semiring-annotated topological spaces (seats) extending epistemic logic to model resource costs for observing evidence, with sound and strongly complete axiomatizations for resource-indexed modalities.