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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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Proving the equivalence of an LTL and a CTL formula

First, it is important to understand what the statement $$\forall \big(a \textsf{U} (b \land \forall \square a)\big) \equiv \big(a \textsf{U} (b \land \square a)\big)$$ means. Hear LTL is interprete …
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6 votes

LTL to automaton translation that can only read disjunctions of labels per transition

The models of an LTL formula $\varphi$, with atomic propositions $P$, are infinite words $w = \sigma_0\sigma_1\ldots$, where each $\sigma_i$ is a subset of $P$. To recognize such words, the edges of a …
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3 votes

LTL to Büchi automaton, deterministic?

There are languages that are representable by an LTL formula but by no deterministic Büchi automaton (DBA). Thus a translation from LTL to DBA cannot exist. An example is the formula $\mathbf{F}\mathb …
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