Abstract: Theory of quantitative logic is an important branch of the research on the grading of logical concepts, while, among the related research on the quantitative predicate logic, the generalization rule hasn’t been studied. Theory of the quasi-truth degrees of first-order logical formulae are an important research result about quantitative predicate logic. In this paper, it is discussed about the quasi-truth degree change of a first-order formula through the generalization rule, finally it is proved that the first-order formula after using the generalization rule is still in the same class, which is classified by the quasi-truth degrees, with the original first-order formula.

Key words: quantitative logic, first-order logic, quasi-truth degree, generalization rule

摘要： 计量逻辑理论是逻辑概念程度化研究方向的一个重要分支。但目前计量谓词逻辑的相关研究中，都不曾涉及推广规则。一阶逻辑公式的准真度理论是计量谓词逻辑的一个重要的研究成果，讨论经过推广规则后，一阶逻辑公式准真度的变化情况，证明经过推广规则后，一阶逻辑公式在基于准真度的一阶逻辑公式集的分类中类别不变。

关键词: 计量逻辑, 一阶逻辑, 准真度, 推广规则