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n值命题逻辑中公式列的收敛性

蒙頔 李骏

计算机工程与应用2016,Vol.52Issue(22):55-58,4.
计算机工程与应用2016,Vol.52Issue(22):55-58,4.DOI:10.3778/j.issn.1002-8331.1412-0346

n值命题逻辑中公式列的收敛性

Convergence of sequence of formulas in n-valued propositional logic

蒙頔 1李骏1

作者信息

  • 1. 兰州理工大学 理学院,兰州 730050
  • 折叠

摘要

Abstract

Convergence in truth degree for a sequence of formulas is defined in n-valued R0 propositional logic. Properties of convergence in measure and convergence in assignment as well as convergence in truth degree for a given sequence of formulas are studied. Necessary and sufficient conditions for the three kinds of convergences are obtained respectively. In the end, it is proved that the three kinds of convergences for a given sequence of formulas are equivalent to each other when the sequence of formulas is finite atomic.

关键词

逻辑度量空间/度量收敛/赋值收敛/真度收敛

Key words

logic metric space/convergence in measure/convergence in assignment/convergence in truth degree

分类

数理科学

引用本文复制引用

蒙頔,李骏..n值命题逻辑中公式列的收敛性[J].计算机工程与应用,2016,52(22):55-58,4.

基金项目

国家自然科学基金(No.11261032)。 ()

计算机工程与应用

OA北大核心CSCDCSTPCD

1002-8331

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