论文标题

QCTL模型检查使用QBF求解器

QCTL model-checking with QBF solvers

论文作者

Hossain, A., Laroussinie, F.

论文摘要

量化的CTL(QCTL)扩展了时间逻辑CTL,并具有对原子命题的定量。已知该扩展非常表现力:QCTL使我们能够在Kripke结构上表达复杂的特性(它与MSO一样表达)。有几种量化的语义:在这里,我们与结构语义合作,其中额外的命题标记了kripke结构(而不​​是其执行树),并且已知模型检查问题在此框架中是pspace-complete。我们提出了一种基于QBF降低的QCTL的新模型检查算法。我们考虑了几种还原策略,并将它们与不同示例的原型(基于几个QBF求解器)进行了比较。

Quantified CTL (QCTL) extends the temporal logic CTL with quantifications over atomic propositions. This extension is known to be very expressive: QCTL allows us to express complex properties over Kripke structures (it is as expressive as MSO). Several semantics exist for the quantifications: here, we work with the structure semantics, where the extra propositions label the Kripke structure (and not its execution tree), and the model-checking problem is known to be PSPACE-complete in this framework. We propose a new model-checking algorithm for QCTL based on a reduction to QBF. We consider several reduction strategies and we compare them with a prototype (based on several QBF solvers) on different examples.

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