As a continuate work,ideal-based resolution principle for lattice-valued first-order logic system LF(X) is proposed,which is an extension of α-resolution principle in lattice-valued logic system based on lattice implication algebra.In this principle,the resolution level is an ideal of lattice implication algebra,instead of an element in truth-value field.Moreover,the soundness theorem is given.In the light of lifting lemma,the completeness theorem is established.This can provide a new tool for automated reasoning.
As a continuate work, ideal-based resolution principle for lattice-valued first-order logic system LF(X) is proposed, which is an extension of a-resolution principle in lattice-valued logic system based on lattice implica- tion algebra. In this principle, the resolution level is an ideal of lattice implication algebra, instead of an element in truth-value field. Moreover, the soundness theorem is given. In the light of lifting lemma, the completeness theorem is established. This can provide a new tool for automated reasoning.