From Real-time Logic to Timed Automata

Thomas Ferrère, O. Maler, D. Ničković, A. Pnueli
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引用次数: 14

Abstract

We show how to construct temporal testers for the logic MITL, a prominent linear-time logic for real-time systems. A temporal tester is a transducer that inputs a signal holding the Boolean value of atomic propositions and outputs the truth value of a formula along time. Here we consider testers over continuous-time Boolean signals that use clock variables to enforce duration constraints, as in timed automata. We first rewrite the MITL formula into a “simple” formula using a limited set of temporal modalities. We then build testers for these specific modalities and show how to compose testers for simple formulae into complex ones. Temporal testers can be turned into acceptors, yielding a compositional translation from MITL to timed automata. This construction is much simpler than previously known and remains asymptotically optimal. It supports both past and future operators and can easily be extended.
从实时逻辑到定时自动机
我们展示了如何为逻辑MITL构建时间测试器,这是实时系统中一个突出的线性时间逻辑。时间测试器是一个换能器,它输入包含原子命题布尔值的信号,并随时间输出公式的真值。这里我们考虑连续时间布尔信号的测试人员,使用时钟变量来强制持续时间约束,就像在时间自动机中一样。我们首先使用一组有限的时间模态将MITL公式重写为“简单”公式。然后,我们为这些特定的模式构建测试器,并展示如何将简单公式的测试器组合成复杂的公式。时间测试器可以转换为接受者,产生从MITL到时间自动机的组合转换。这种构造比以前已知的简单得多,并且仍然是渐近最优的。它支持过去和未来的运营商,并且可以很容易地扩展。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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