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In this paper, an α-resolution automated reasoning method is studied based on the multiary α-resolution principle in lattice-valued first-order logic system LF(X) with truth-value in lattice implication algebra. Concretely, α-lock semantic resolution method is presented in LF(X), its soundness and condition completeness theorems have also been proved. And then α-lock semantic resolution method is...
In the present paper, general form of α-ordered linear resolution method is established in lattice-valued logic system with linguistic truth-values. Firstly, general form of α-ordered linear resolution method is investigated in linguistics truth-valued lattice-valued propositional logic system based on linguistics truth-valued lattice implication algebra. It can obtain a resolvent under a linguistic...
In this paper we propose a new resolution approach for automated reasoning in artificial intelligence. the general form a-linear resolution method is established in lattice-valued first-order logic system LF(X) based on lattice implication algebra. the soundness theorem is given in LF(X). by using lift lemma, the weak completeness theorem is also investigated in LF(X). This method is to provide a...
As a continuation of research work on a-generalized resolution for lattice-valued logic system, the a-generalized linear resolution method for lattice-valued first-order logic system LF(X) based on lattice implication algebra is presented, which can provide an automated reasoning tool for information processing and knowledge representation. The soundness theorem is established. By use of the lifting...
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