A lattice-valued modal propositional logic system LMP(X)

Wenjiang Li Wenjiang Li,Yang Xu Yang Xu,Jun Liu Jun Liu,Jun Ma Jun Ma

doi:10.1109/icsmc.2002.1176376

A lattice-valued modal propositional logic system LMP(X)

Wenjiang Li Wenjiang Li, Yang Xu Yang Xu + Show 2 more

https://doi.org/10.1109/icsmc.2002.1176376

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Publication Date: Oct 6, 2002

Affiliation: Southwest Jiaotong University

#Lattice-valued Propositional Logic #Modal Logic System + Show 8 more

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Abstract

In this paper, two operators N and P are introduced into LP(X), then a new lattice-valued modal propositional logic system LMP(X) is given. With possible world semantics, N and P are described. Furthermore, some properties on semantics and syntax are discussed, and some important conclusions are obtained, including the soundness theorem, deduction theorem and consistence theorem.

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