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An on-the-fly tableau construction for a real-time temporal logic

An on-the-fly tableau construction for a real-time temporal logic

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3. Real-<strong>time</strong> Temporal Logic<br />

To deal with quantitative timing requirements, <strong>temporal</strong> <strong>logic</strong>s are<br />

extended.<br />

The un<strong>time</strong>d Until operator ϕ1Uϕ2 states that some<strong>time</strong> in <strong>the</strong> future, ϕ2<br />

must hold, but cannot express hard c<strong>on</strong>straints <strong>on</strong> that moment.<br />

The extended operator ϕ1UIϕ2 adds an interval I that denotes that <strong>the</strong><br />

occurrence of ϕ2 must be within I.<br />

A 12

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