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基于格值一阶逻辑LF(X)的自动推理算法 被引量:1

Automated reasoning algorithm based on lattice-valued first-order logic LF(X)
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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。 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.
作者 李晓冰 徐扬
出处 《计算机工程与应用》 CSCD 北大核心 2010年第23期18-20,49,共4页 Computer Engineering and Applications
基金 国家自然科学基金No.60474022 No.60875034 高等学校博士学科点专项科研基金项目No.20060613007~~
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 lattice-valued first-order logic automated reasoning α -resolution principle simple generalized clause set
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