Relational Semantics Through Duality
نویسندگان
چکیده
In this paper we show how the classical duality results extended to a Duality via Truth contribute to development of a relational semantics for various modal-like logics. In particular, we present a Duality via Truth for some classes of information algebras and frames. We also show that the full categorical formulation of classical duality extends to a full Duality via Truth.
منابع مشابه
A duality between LM-fuzzy possibility computations and their logical semantics
Let X be a dcpo and let L be a complete lattice. The family σL(X) of all Scott continuous mappings from X to L is a complete lattice under pointwise order, we call it the L-fuzzy Scott structure on X. Let E be a dcpo. A mapping g : σL(E) −> M is called an LM-fuzzy possibility valuation of E if it preserves arbitrary unions. Denote by πLM(E) the set of all LM-fuzzy possibility valuations of E. T...
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