2009•Journal of Yunnan Normal UniversityRequires access

Truth Degree of Logic Theory in Propositional Logic Systems and its Application

Guojun Wang

Abstract

Based on D-random truth degrees and conditional truth degrees of two valual propositional logical formulas,the concepts of D-conditional truth degrees and the corresponding properties are intruduced.In logical metric space(F(S),ρD),the concepts of contradiction and tautology based on Γwith the concepts of logical equivalence based on Γ between formulas A and B are given;then the concepts of D-conditional similarity degrees and D-conditional logical pseudodistance and the corresponding properties are also discussed.

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Key concepts: Tautology (logic), Propositional variable, Logical connective, Truth table, Propositional calculus, Intuitionistic logic, Truth function, Truth value