Positive and Negative Results on the Decidability of the Model-Checking Problem for an Epistemic Extension of Timed CTL

C. Dima
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引用次数: 6

Abstract

We present TCTLK, a continuous-time variant of the Computational Tree Logic with knowledge operators, generalizing both TCTL, the continuous-time variant of CTL, and CTLK, the epistemic generalization of CTL.Formulas are interpreted over timed automata, with a synchronous and perfect recall semantics,and the observability relation requires one to specify what clocks are visible for an agent.We show that, in general, the model-checking problem for TCTLK is undecidable, even if formulas do not use any clocks --and hence CTLK has an undecidable model-checking problem when interpreted over timed automata.On the other hand, we show that, when each agent can see all clock values,model-checking becomes decidable.
关于定时CTL认知扩展模型检验问题可判定性的正负结果
我们提出了TCTLK,一个带知识算子的计算树逻辑的连续时间变体,它推广了TCTL的连续时间变体和CTLK的认知推广。公式是在时间自动机上解释的,具有同步和完美的召回语义,并且可观察性关系要求指定代理可以看到哪些时钟。我们表明,在一般情况下,TCTLK的模型检查问题是不可确定的,即使公式不使用任何时钟——因此,当在时间自动机上解释时,CTLK具有不可确定的模型检查问题。另一方面,我们表明,当每个代理都可以看到所有时钟值时,模型检查变得可确定。
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