Computer Engineering and Applications ›› 2010, Vol. 46 ›› Issue (23): 18-20.DOI: 10.3778/j.issn.1002-8331.2010.23.005

• 博士论坛 • Previous Articles     Next Articles

Automated reasoning algorithm based on lattice-valued first-order logic LFX

LI Xiao-bing1,XU Yang2   

  1. 1.Department of Management Science and Engineering,Dongbei University of Finance and Economics,Dalian,Liaoning 116025,China
    2.Intelligent Control Development Center,Southwest Jiaotong University,Chengdu 610031,China
  • Received:2010-05-10 Revised:2010-06-28 Online:2010-08-11 Published:2010-08-11
  • Contact: LI Xiao-bing


李晓冰1,徐 扬2   

  1. 1.东北财经大学 管理科学与工程学院,辽宁 大连 116025
    2.西南交通大学 智能控制开发中心,成都 610031
  • 通讯作者: 李晓冰

Abstract: Resolution reasoning method based on predicate logic is one of methods which are well-developed and can be implemented on computer.In order to solve automated reasoning based on resolution principle in lattice-valued first-order logic,a resolution automated reasoning algorithm based on α-resolution principle in lattice-valued first-order logic is proposed by analyzing an example.Its soundness and completeness are proved.

Key words: lattice-valued first-order logic, automated reasoning, α-resolution principle, simple generalized clause set

摘要: 基于谓词逻辑的归结推理方法是目前理论上较为成熟、可以在计算机上实现的推理方法之一。针对格值一阶逻辑LF(X)中归结自动推理问题,以格值一阶逻辑LF(X)的α-归结原理为理论基础,通过对例子进行分析,提出了LF(X)中简单广义子句集的归结自动推理算法,并证明了该算法的可靠性和完备性。

关键词: 格值一阶逻辑, 自动推理, α-归结原理, 简单广义子句集

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