In the present paper, resolution-based automated reasoning method in lattice-valued propositional logic LP(X) with truth-value in lattice implication algebras is focused. Concretely, α-group resolution method based on the general form of α-resolution principle is studied in LP(X). Firstly, concepts of α-group resolution and α-group resolution deduction are proposed in LP(X). Secondly, soundness and weak completeness of α-group resolution are also established in LP(X). Finally, the fact that α-group resolution method can improve the efficiency of resolution to some extent is illustrated through two examples.
['Xiaomei Zhong', 'Yang Xu']
α-group resolution method based on lattice-valued propositional logic LP(X)