Formulas truth function degree generated based on Π system

doi:10.3778/j.issn.1002-8331.2009.15.011

Computer Engineering and Applications ›› 2009, Vol. 45 ›› Issue (15): 39-40.DOI: 10.3778/j.issn.1002-8331.2009.15.011

• 研究、探讨 • Previous Articles Next Articles

Formulas truth function degree generated based on Π system

LI You-yu,ZHANG Xing-fang,LI Cheng-yun

School of Mathematics Science，Liaocheng University，Liaocheng，Shandong 252059，China

Received:2008-12-18 Revised:2009-02-26 Online:2009-05-21 Published:2009-05-21
Contact: LI You-yu

Π系统中公式的真值函数及真度分布

李友雨,张兴芳,李成允

聊城大学数学科学学院，山东聊城 252059

通讯作者: 李友雨

Abstract

Abstract: This paper gives a characterization of the truthfunctions associated with formulas generated by one atom based on Π system.Furthermore，the detailed classificationsof F（p） are provided.

Key words: Π system, logical formula, truth function, truth degree

摘要： 以Π系统为背景，针对由单个原子生成的公式，解决了王国俊教授提出的函数决定公式的问题（VDF问题），即满足什么条件的函数可由逻辑公式导出，或逻辑公式的真值函数的特征如何；进而按照逻辑等价的关系将由单原子生成的公式集进行细致地分类；最后又给出了由单个原子生成的公式的真度分布情况。

关键词: Π系统, 逻辑公式, 真值函数, 真度

LI You-yu,ZHANG Xing-fang,LI Cheng-yun. Formulas truth function degree generated based on Π system[J]. Computer Engineering and Applications, 2009, 45(15): 39-40.

李友雨,张兴芳,李成允. Π系统中公式的真值函数及真度分布[J]. 计算机工程与应用, 2009, 45(15): 39-40.

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Formulas truth function degree generated based on Π system

Π系统中公式的真值函数及真度分布

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