2007Computer Engineering and Applications JournalRequires access

Generalized tautologies theory of universal logic based on 0-level universal AND operators

Zhanao Xue

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Abstract

Generalized tautologies theories of universal logic are studied in this paper.A series of properties of generalized tautologies of universal logic based on the 0-level universal AND operators is discussed.The main results are:when c∈[0.75,1],if the semantic is explained by Ih=c,there are only three different generalized tautologies in F(S),that is,accessible 0-tautology,0+- tautology and tautology;when h=0,if the semantic is explained by Ih=0,there are accessible 0,1-tautology,when α∈(0,1),there are not α- tautology、α+-tautology and α-tautology;the generalized tautologies when h∈(0,0.75) are described by the generalized tautologies when h=0.5.

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Generalized tautologies theories of universal logic are studied in this paper.A series of properties of generalized tautologies of universal logic based on the 0-level universal AND operators is discussed.The main results are:when c∈[0.75,1],if the semantic is explained by Ih=c,there are only three different generalized tautologies in F(S),that is,accessible 0-tautology,0+- tautology and tautology;when h=0,if the semantic is explained by Ih=0,there are accessible 0,1-tautology,when α∈(0,1),there are not α- tautology、α+-tautology and α-tautology;the generalized tautologies when h∈(0,0.75) are described by the generalized tautologies when h=0.5.

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Available abstract

Generalized tautologies theories of universal logic are studied in this paper.A series of properties of generalized tautologies of universal logic based on the 0-level universal AND operators is discussed.The main results are:when c∈[0.75,1],if the semantic is explained by Ih=c,there are only three different generalized tautologies in F(S),that is,accessible 0-tautology,0+- tautology and tautology;when h=0,if the semantic is explained by Ih=0,there are accessible 0,1-tautology,when α∈(0,1),there are not α- tautology、α+-tautology and α-tautology;the generalized tautologies when h∈(0,0.75) are described by the generalized tautologies when h=0.5.

Key concepts: Tautology (logic), Mathematics, Discrete mathematics, Computer science, Intermediate logic, Theoretical computer science, Description logic, Propositional variable

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