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arXiv cs/0701138cs.LO
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实时的模型检验:参数无处不在

Real-Time Model-Checking: Parameters everywhere

Veronique Bruyere, Jean-Francois Raskin

摘要:

本文研究离散时间自动机上逻辑TCTL的模型检验和参数综合问题,其中参数在模型(时间自动机)和属性(时态公式)中都允许.我们的结果如下。在消极的一面,我们表明,模型检验问题的TCTL扩展参数是不可判定的离散时间自动机只有一个参数时钟。不可判定性结果需要逻辑上的等价性。在积极的一面,我们表明,模型检验和参数合成问题成为可判定的一个片段的逻辑是不允许的平等。我们的方法是基于自动机理论的原则和扩展我们的方法来表示时间自动机使用Presburger算法的运行持续时间。

英文摘要:

In this paper, we study the model-checking and parameter synthesis problems of the logic TCTL over discrete-timed automata where parameters are allowed both in the model (timed automaton) and in the property (temporal formula). Our results are as follows. On the negative side, we show that the model-checking problem of TCTL extended with parameters is undecidable over discrete-timed automata with only one parametric clock. The undecidability result needs equality in the logic. On the positive side, we show that the model-checking and the parameter synthesis problems become decidable for a fragment of the logic where equality is not allowed. Our method is based on automata theoretic principles and an extension of our method to express durations of runs in timed automata using Presburger arithmetic.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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