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(ILTL),提出一种基于直觉解释的μTL,称为直觉μTL(IμTL)-确立了IμtTL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.
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 IμTL and ILTL, and compared their expressive power. Using IμTL to specify safety and liveness properties, and assumption-guarantee specifications are also discussed.