Alpha-Lock Paramodulation for Lattice-Valued Propositional Logic

Abstract

Aiming to improve the efficiency of alpha-paramodulation in lattice-valued logic with equality, this paper focuses on alpha-lock paramodulation for lattice-valued logic, which can more efficiently handle the lattice-valued logical formula with equality. The definition of alpha-lock paramodulation is given firstly, which is a refinement of alpha-paramodulation, and then its soundness and completeness are established. Finally an algorithm of alpha-lock paramodulation is given.