JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE) ›› 2013, Vol. 43 ›› Issue (2): 101-104.

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Uncertainty degree and falsity degree accumulation theoremin two-valued propositional logic system

HUI Xiao-jing, ZHENG Feng-xian, REN Pan-long, GAO Qing-qing   

  1. College of Mathematics and Computer Science, Yan’an University, Yan’an 716000, China
  • Received:2012-12-05 Online:2013-04-20 Published:2012-12-05

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Abstract:

The falsity degree of a formular was defined according to the randomized truth degree of a formular in two-valued propositional logic, and the falsity degree accumulation theorem was proved by using the  deduction theorem, that was, the falsity degree of the conclusion was not more than the falsity degrees of the premises in valid reasoning, and thus the accumulation theorem could give the truth degree relations between premises and conclusions. Finally, the uncertainty degree accumulation theorem was compared with the falsity degree accumulation theorem, and the results showed that  the two theorems were different  expression forms.

Key words: two-valued propositional logic system, valid reasoning, probability, randomized truth degree, falsity degree

CLC Number: 

  • O141
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