Models for Lattice-Valued First-Order Logic LF(X)

Peishun Liu, Xuefang Wang · 2008

In this paper, we focus on models for lattice-valued first-order logic LF(X). First, we present some basic notions, operations on models, and basic relations among models, such as isomorphisms, submodels and extensions, etc. Then we discuss their properties and the truth values of formulas under these models. Finally, we give elementary chain theorem.

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