Determination of 3-Ary α-Resolution in Lattice-valued Propositional Logic LP(X)

One of key issues for α-n(t) ary resolution automated reasoning based on lattice-valued logic with truthvalue in a lattice implication algebra is to investigate the α-n(t) ary resolution of some generalized literals. In this article, the determination of α-resolution of any 3-ary generalized literals which include the implication operators not more than 2 in LP(X). It not only lay the foundation for practical implementation of automated reasoning algorithm in LP(X), but also provides the strong support for α-n(t) ary resolution automated reasoning approaches.