计算机工程与应用 ›› 2010, Vol. 46 ›› Issue (22): 52-53.DOI: 10.3778/j.issn.1002-8331.2010.22.018

• 研究、探讨 • 上一篇    下一篇

逻辑系统Hα中广义语义MP规则证明的改进

于鸿丽1,吴洪博2   

  1. 1.西安文理学院 数学系,西安 710065
    2.陕西师范大学 数学与信息科学学院,西安 710062
  • 收稿日期:2008-12-30 修回日期:2009-02-27 出版日期:2010-08-01 发布日期:2010-08-01
  • 通讯作者: 于鸿丽

Improvement in proving generalized semantic MP rule of Hα logic system

YU Hong-li1,WU Hong-bo2   

  1. 1.Department of Mathematics,Xi’an University of Arts and Science,Xi’an 710065,China
    2.College of Mathematics and Information Science,Shaanxi Normal University,Xi’an 710062,China
  • Received:2008-12-30 Revised:2009-02-27 Online:2010-08-01 Published:2010-08-01
  • Contact: YU Hong-li

摘要: 将修正的Kleene逻辑系统中语义MP规则推广后应用于Hα逻辑系统中,讨论了Hα逻辑系统中广义重言式理论的语义([α]-MP)规则,语义([α+]-MP)规则,使得对Hα系统中的广义语义MP规则有了更进一步的认识。另外,逻辑系统W中的广义语义MP规则也成为一个特例。

Abstract: The generalized semantic MP rule in the revised Kleene logic system has been applied to Hα logic system.The properties of semantic([α]-MP)rule,semantic([α+]-MP)rule of generalized tautologies in Hα logic system have been discussed deeply. In addition,generalized semantic MP rule of the W in the logic system is the special example of this text.

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