计算机工程与应用 ›› 2010, Vol. 46 ›› Issue (8): 37-39.DOI: 10.3778/j.issn.1002-8331.2010.08.011

• 研究、探讨 • 上一篇    下一篇

系统Hα中的子代数的广义重言式理论

李顺琴1,王国俊2   

  1. 1.延安大学 数学与计算机科学学院,陕西 延安 716000
    2.陕西师范大学 数学研究所,西安 710062
  • 收稿日期:2009-03-09 修回日期:2009-04-27 出版日期:2010-03-11 发布日期:2010-03-11
  • 通讯作者: 李顺琴

Theory of generalized tautology in subalgebras of system Hα

LI Shun-qin1,WANG Guo-jun2   

  1. 1.College of Mathematics and Computer Science,Yan’an University,Yan’an,Shaanxi 716000,China
    2.Institute of Mathematics,Shaanxi Normal University,Xi’an 710062,China
  • Received:2009-03-09 Revised:2009-04-27 Online:2010-03-11 Published:2010-03-11
  • Contact: LI Shun-qin

摘要: 将多值逻辑系统Hα(0≤α≤1)中的广义重言式理论进行推广,讨论其序稠密子代数的广义重言式理论,利用可达广义重言式概念在系统H1/2的序稠密子代数中给出FS)的一个分划,并把系统H1/2中的相关结论推广到系统Hα(0≤α≤1)中。

Abstract: The theory of generalized tautology in many-valued logical system Hα is extended and theory of generalized tautology in order dense subalgebras of the many-valued logical system Hα is considered.A new partition of FS) can be obtained in order dense subalgebras of logic system H1/2 by utilizing the concepts of accessible generalized tautology.At last,some results in H1/2 are generalized to the system Hα(0≤α≤1).

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