| 本文已被：浏览 5876次 下载 6910次 |
码上扫一扫！ |
|
|
| 直觉线性μ-演算 |
|
KAZMI Syed Asad Raza1,2,3, 张文辉1
|
|
1.中国科学院 软件研究所 计算机科学重点实验室,北京 100190;2.中国科学院 研究生院 信息与工程学院,北京 100049;3.Department of Computer Science, Government College University, Lahore, Pakistan
|
|
| 摘要: |
| 线性mu-演算(μTL)是线性时序逻辑(LTL)的不动点扩展.LTL是一个便于规范和论证反应式系统的方法.μTL作为比LTL表达能力更强的逻辑,用LTL表示的性质度可由μTL表示.类似于LTL的直觉线性时序逻辑(LTL),提出一种基于直觉解释的μTL,称为直觉μTL(IμTL).确立了IμTL和ILTL的关系,比较了它们之间的表达能力.讨论了使用IμTL与安全性质和活性描述的关系以及描述“假设-保证”规范的问题. |
| 关键词: 命题线性时序逻辑 直觉线性μ-演算 |
| DOI： |
| 分类号: |
| 基金项目:Supported by the National Natural Science Foundation of China under Grant Nos.60421001, 60573012 (国家自然科学基金); the National Basic Research Program of China under Grant No.2002cb312200 (国家重点基础研究发展计划(973)) |
|
| Intuitionistic Linear-Time μ-Calculus |
|
KAZMI Syed Asad Raza,ZHANG Wen-Hui
|
| Abstract: |
| Linear time mu-calculus (μTL) is an extension of linear-time temporal logic (LTL) by fixed points, which is a convenient way to specify and reasoning about reactive systems. As μTL being more expressible than LTL, the properties specified by LTL could be determined by μTL. Similar to the intuitionistic linear-time temporal logic (ILTL), we propose an intuitionistic variant of μTL as intuitionistic linear time mu-calculus (IμTL). We have established a correspondence between ImTL and ILTL, and compared their expressive power. Using IμTL to specify safety and liveness properties, and assumption-guarantee specifications are also discussed. |
| Key words: propositional linear temporal logic intuitionistic linear time μ-calculus |
