2009Unpublished venueRequires access

D-Stochastic Truth Degree of Formulas Based on Standardized Representation in Propositional Logic

Ting Wang

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Abstract

Based on the notion of D-stochastic truth degrees of formulas in propositional logic,the formula is presented to calculate the D-stochastic truth degrees of propositional formulas,which is based on the set of vectors of superscript of all minimal items in principal disjunctive normal form, the relations of D-stochastic truth degrees under the basic logical operations are discussed,and the D-stochastic effective degrees in logic reasoning are also investigated.

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What this paper is about

Based on the notion of D-stochastic truth degrees of formulas in propositional logic,the formula is presented to calculate the D-stochastic truth degrees of propositional formulas,which is based on the set of vectors of superscript of all minimal items in principal disjunctive normal form, the relations of D-stochastic truth degrees under the basic logical operations are discussed,and the D-stochastic effective degrees in logic reasoning are also investigated.

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Available abstract

Based on the notion of D-stochastic truth degrees of formulas in propositional logic,the formula is presented to calculate the D-stochastic truth degrees of propositional formulas,which is based on the set of vectors of superscript of all minimal items in principal disjunctive normal form, the relations of D-stochastic truth degrees under the basic logical operations are discussed,and the D-stochastic effective degrees in logic reasoning are also investigated.

Key concepts: Propositional calculus, Propositional variable, Truth function, Well-formed formula, Truth value, Logical connective, Mathematics, Set (abstract data type)

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