Computer Engineering and Applications ›› 2011, Vol. 47 ›› Issue (5): 43-45.

• 研究、探讨 • Previous Articles     Next Articles

Theory of generalized tautology in 1/2-subalgebras of Gödel logical system

LI Xiuqing   

  1. Guilin College of Aerospace Technology,Guilin,Guangxi 541004,China
  • Received:1900-01-01 Revised:1900-01-01 Online:2011-02-11 Published:2011-02-11

Gödel逻辑系统中1/2-子代数上的广义重言式理论

李修清   

  1. 桂林航天工业高等专科学校 计算机系,广西 桂林 541004

Abstract: The theory of generalized tautology in Gödel logical system is extended.The theory of generalized tautology for three kinds of infinite subalgebras with 1/2-accumulation point of logical system G is considered.Congruence partitions about ¬ on F(S) have been given in three kinds of infinite sub algebras of logical system G by utilizing the concepts of accessible generalized tautology.

Key words: Gö, del logical system, generalized tautology, subalgebra, partition

摘要: 将Gödel逻辑系统中的广义重言式理论进行推广,讨论了逻辑系统G中具有1/2聚点的三类无限子代数上的广义重言式理论,并利用可达广义重言式的概念在G的三类子代数中给出F(S)关于¬同余的一个分划。

关键词: Gö, del逻辑系统, 广义重言式, 子代数, 分划