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An Expressive Temporal Logic for Real Time

机译:实时表达时间逻辑

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摘要

We add to the standard temporal logic with the modalities "Until" and "Since", a sequence of "counting modalities": For each n the modality C_n(X), which says that X will be true at least at n points in the next unit of time, and its past counterpart C_n, which says that X has happened at least n times in the last unit of time. We prove that this temporal logic is as expressive as can be hoped for; all the modalities that can be expressed in a strong natural decidable predicate logic framework, are expressible in this temporal logic.
机译:我们将标准的时间逻辑添加到模态“直到”和“以来”,一系列“计数模态”:对于每个n的模式C_N(X),这表明X将至少在N点处为止下一个单位的时间,它的过去的对手C_N,这表明X已经发生在最后一段时间内至少n次。我们证明,这种时间逻辑与希望的那样表达;所有可以在强大的自然可解除的谓词逻辑框架中表达的所有模式都在该时间逻辑中表达。

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