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Visibly Linear Temporal Logic

机译:明显的线性时间逻辑

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摘要

We introduce a robust and tractable temporal logic, we call Visibly Linear Temporal Logic (VLTL), which captures the full class of Visibly Pushdown Languages. The novel logic avoids fix points and provides instead natural temporal operators with simple and intuitive semantics. We prove that the complexities of the satisfiability and visibly pushdown model checking problems are the same as for other well known logics, like CaRet and the nested word temporal logic NWTL, which in contrast are strictly more limited in expressive power than VLTL. Moreover, formulas of CaRet and NWTL can be easily and inductively translated in linear-time into VLTL.
机译:我们介绍了一种强大而易易刻的时间逻辑,我们调用明显的线性时间逻辑(VLTL),捕获全类明显的下推语言。新颖的逻辑避免了固定点,而是具有简单直观的语义的自然时间运算符。我们证明了可满足性和可见性推动模型检查问题的复杂性与其他众所周知的逻辑相同,如清晰度和嵌套字时间逻辑NWTL,这对于比VLT相比,这在表达动力中严格更受限。此外,可容易且电感地将插入卷和NWT1的公式中的线性时间转换成VLT1。

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