北京邮电大学学报

  • EI核心期刊

北京邮电大学学报 ›› 2011, Vol. 34 ›› Issue (4): 10-13.doi: 10.13190/jbupt.201104.10.chenjl

• 论文 • 上一篇    下一篇

柔性逻辑零级运算模型的健全性

陈佳林1,何华灿1,刘城霞1,罗敏霞2   

  1. 1.北京邮电大学 计算机学院, 北京 100876; 2.中国计量学院 数学系, 杭州 310018
  • 收稿日期:2010-10-13 修回日期:2010-12-02 出版日期:2011-08-28 发布日期:2011-07-18
  • 通讯作者: 陈佳林 E-mail:lifecjl@163.com
  • 基金资助:

    北京市高等学校人才强教计划资助项目(PHR201008428)

Integrity Studies on 0Level Universal Operation Modelsof Flexible Logic

  • Received:2010-10-13 Revised:2010-12-02 Online:2011-08-28 Published:2011-07-18
  • Contact: jia-lin chen E-mail:lifecjl@163.com

摘要:

当广义相关系数在0~05时,证明了基于零级运算模型的逻辑系统PC(T)是健全逻辑系统;当广义相关系数在05~075时,构建了基于零级运算模型的健全逻辑系统PC(T);当广义相关系数在075~1时,进一步证明了基于泛逻辑零级运算模型的逻辑系统PC(T),当命题P等于0和1时是一个健全逻辑系统;当命题P不等于0和1时,构建了基于泛逻辑零级运算模型的健全逻辑系统PC(T).

关键词: 健全逻辑系统, 泛与运算模型, 泛或运算模型, 排中律

Abstract:

Logical system PC(T) based on 0level universal operation models is proved an integrity logical system when generalized correlative coefficient is from 0 to 05. An integrity propositional logic PC(T) based on 0level universal operation models is built. When generalized correlative coefficient is from 05 to 075 moreover, propositional logic system PC(T) based on 0level universal operation models is proved an integrity logical system if P is equal to 0 or 1 and an integrity propositional logic PC(T) based on 0level universal operation models is given if P is not equal to 0 or 1 when generalized correlative coefficient is from 075 to 1.

Key words: integrity logic, universal conjunctive operational model, universal disjunctive operational model, law of excluded middle

中图分类号: