计算机科学 ›› 2007, Vol. 34 ›› Issue (4): 158-162.

• 计算机网络与信息安全 • 上一篇    下一篇

G3逻辑中的弱合取范式

  

  • 出版日期:2018-11-16 发布日期:2018-11-16
  • 基金资助:
    本课题得到国家自然科学基金(60573009)和贵州省长基金2005(212)资助.

  • Online:2018-11-16 Published:2018-11-16

摘要: 本文为G3逻辑提出一种类似于经典逻辑中合取范式的弱合取范式,并给出两种范式化简算法:一种是通过公式刻画反模型的语义方法;另一种为基于重写翻译的语法方法。文章最后证明,在G3逻辑中对任意公式做弱合取范式化简不存在多项式算法。

关键词: 弱合取范式 G3逻辑 范式化简 计算复杂性

Abstract: In this paper, we put forward a weak conjunctive normal form for G3 logic, which is similar to the conjunctive normal form for classical propositional logic. We also give two algorithms to reduce a formula to the weak, conjunctive normal form, where one i

Key words: Weak conjunctive normal form, G3 logic, Normal form reduction, Computational complexity

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