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格值命题逻辑系统Ln ×2P(X)中广义文字的α-归结性

张家锋 徐扬

四川师范大学学报(自然科学版)2011,Vol.34Issue(5):635-639,5.
四川师范大学学报(自然科学版)2011,Vol.34Issue(5):635-639,5.DOI:10.3969/j.issn.1001-8395.2011.05.008

格值命题逻辑系统Ln ×2P(X)中广义文字的α-归结性

α-Resolution Fields of Generalized Literals in Lattice-valued Propositional Logic Ln×2P(X)

张家锋 1徐扬2

作者信息

  • 1. 西南交通大学智能控制开发中心,四川成都610031
  • 2. 毕节学院逻辑、语言与认知研究中心,贵州毕节551700
  • 折叠

摘要

Abstract

Resolution based automatic reasoning is one of most important research directions in Al. Α-resolution method on lattice-valued logic based on lattice implication algebra provides alternative tool to handle the automatic reasoning problem with incomparability and fuzziness of information. It can refutably prove the α-unsatisfiability of clause set in lattice-valued logic system. We need to judge whether or not two generalized literals can form α-resolution pairs when we use a-resolution principle to refutably prove the a-unsatisfi-ability of a clausal set in Ln×2P(X). This paper discusses the resolvent of 1-IESF and other generalized literals and gets some determi-nations for a-resolution of two generalized literals.

关键词

自动推理/归结域/格值逻辑/格蕴涵代数

Key words

automatic reasoning/ resolution field/ lattice-valued logic/ lattice implication algebra

分类

数理科学

引用本文复制引用

张家锋,徐扬..格值命题逻辑系统Ln ×2P(X)中广义文字的α-归结性[J].四川师范大学学报(自然科学版),2011,34(5):635-639,5.

基金项目

国家自然科学基金(60875034)和贵州省科技厅科学技术项目基金(2009GZ43286)资助项目 (60875034)

四川师范大学学报(自然科学版)

OA北大核心CSCDCSTPCD

1001-8395

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