Truth degree function on set of formulas in propositional logic system Ln
Lina Ma, Shuo Liu, Guojun Wang
Abstract
Lina Ma, Shuo Liu, Guojun Wang
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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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