2010Computer Engineering and Applications JournalRequires access

Truth degree function on set of formulas in propositional logic system Ln

Lina Ma, Shuo Liu, Guojun Wang

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Abstract

The purpose of this paper is to give an axiomatic definition of truth degree function on the set of formulas in n-valued Lukasiewicz propositional logic system and some properties of truth degree function are proved.The conceptions of similarity de-gree among formulas and a pseudo-metric on the set of formulas are defined by means of the concept of truth degree function.The logic metric space is built and a possible framework for approximate reasoning from the syntactical view is proposed.

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What this paper is about

The purpose of this paper is to give an axiomatic definition of truth degree function on the set of formulas in n-valued Lukasiewicz propositional logic system and some properties of truth degree function are proved.The conceptions of similarity de-gree among formulas and a pseudo-metric on the set of formulas are defined by means of the concept of truth degree function.The logic metric space is built and a possible framework for approximate reasoning from the syntactical view is proposed.

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Available abstract

The purpose of this paper is to give an axiomatic definition of truth degree function on the set of formulas in n-valued Lukasiewicz propositional logic system and some properties of truth degree function are proved.The conceptions of similarity de-gree among formulas and a pseudo-metric on the set of formulas are defined by means of the concept of truth degree function.The logic metric space is built and a possible framework for approximate reasoning from the syntactical view is proposed.

Key concepts: Truth function, Propositional calculus, Truth value, Tautology (logic), Mathematics, Degree (music), Intuitionistic logic, Axiom

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