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迁移系统关于一类时态逻辑公式的满足度

王国俊 王庆平 时慧娴 罗清君 王伟

陕西师范大学学报(自然科学版)2013,Vol.41Issue(4):1-10,10.
陕西师范大学学报(自然科学版)2013,Vol.41Issue(4):1-10,10.

迁移系统关于一类时态逻辑公式的满足度

Satisfaction degree for a class of temporal logic formulae based on transition systems

王国俊 1王庆平 2时慧娴 1罗清君 1王伟3

作者信息

  • 1. 陕西师范大学数学与信息科学学院,陕西西安710062
  • 2. 江西财经大学统计学院,江西南昌330013
  • 3. 西安财经学院统计学院,陕西西安710061
  • 折叠

摘要

Abstract

The concept of a character for lineal temporal logic (LTL,for short) formulae is introduced,and the existence of characters for a class of LTL formulae as well as the computation method are obtained.Based on this concept,two types of temporal normal form for LTL formulae are proposed,and it is proved that a class of LTL formulae can be equivalently expressed in temporal normal form,which greatly simplifies the complexity of computing of characters.Meanwhile,the satisfaction degree of LTL formulae with respect to transition systems are proposed,which can be seen as a quantitative extension of the notion "TS satisfies ρ".Finally,a computation method of the satisfaction degree for a LTL formula is provided,and the computation complexity is estimated.

关键词

规范/特征/最终自由/动态模型序列/T-范式/满足度

Key words

specification/ character/ eventually free/ dynamic model sequence/ temporal normal form/ satisfaction degree

分类

数理科学

引用本文复制引用

王国俊,王庆平,时慧娴,罗清君,王伟..迁移系统关于一类时态逻辑公式的满足度[J].陕西师范大学学报(自然科学版),2013,41(4):1-10,10.

基金项目

国家自然科学基金资助项目(10771129,11171200). (10771129,11171200)

陕西师范大学学报(自然科学版)

OA北大核心CSCDCSTPCD

1672-4291

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