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n值命题逻辑系统Ln^*中有限命题集的相容性与约简
引用本文:李立峰.n值命题逻辑系统Ln^*中有限命题集的相容性与约简[J].计算机工程与应用,2009,45(13):59-61.
作者姓名:李立峰
作者单位:西安邮电学院 应用数理系,西安 710121
基金项目:陕西省科学技术研究发展计划项目(No.2008k01-33).
摘    要:设Г为有限命题集,首先讨论了Г在不同的n值命题逻辑系统Ln^*中的相容性问题,提出了Г的约简理论,从命题集Г所诱导的多值形式背景出发,运用概念格的方法从Г及其子集的关系出发给出了Г约简的判定定理。

关 键 词:完备性定理  相容性  Γ约简  概念格
收稿时间:2008-12-12
修稿时间:2009-3-9  

Consistency and reduction of finite proposition set in n-valued propositional logic Ln*
LI Li-feng.Consistency and reduction of finite proposition set in n-valued propositional logic Ln*[J].Computer Engineering and Applications,2009,45(13):59-61.
Authors:LI Li-feng
Affiliation:Department of Applied Mathematics and Physics,Xi’an Institute of Posts and Telecommunications,Xi’an 710121,China
Abstract:Let Г be finite theory,this paper discusses the consistency of Г in different n-valued propositional logic Ln* firstly,then the theory of Г-reduction in n-valued propositional logic Ln* is introduced.Several ways to determine the Г-reduction are studied by investigating the relationship between Г and their subsets since there has a formal multi-valued formal context deduced by the finite theory Г.
Keywords:completely theorem  consistency  Г-reduction  concept lattice
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