A brief introduction to the characteristic set method is given for solving algebraic equation systems and then the method is extended to algebraic difference systems . the method can be used to decompose the zero set for a difference polynomial set in general form to the union of difference polynomial sets in triangular form 部分实现脑力劳动机械化使计算机具有某些智能行为，将为科学研究与技术创新提供有力工具使科研工作者摆脱繁琐的甚至是人力难以达到的工作，将自己的聪明才智集中到更高层次的创新性研究。
