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LTL (linear temporal logic or linear-time temporal logic) is a temporal logic that can encode assertions about the future of traces.

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Techniques (tools) to convert temporal logic (CTL,CTL* or LTL) to μ-calculus formulae

You may find an answer or at least relevant references in the article A linear translation from LTL to the fi rst-order modal $\mu$-calculus.
J.-E. Pin's user avatar
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