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\title{A Compositional and Unified Translation of LTL into $\omega$-Automata}
\author{Benedikt Seidl and Salomon Sickert}
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\begin{abstract}
We present a formalisation of the unified translation approach of linear temporal logic (LTL) into
$\omega$-automata from \cite{DBLP:conf/lics/EsparzaKS18}. This approach decomposes LTL formulas into
``simple'' languages and allows a clear separation of concerns: first, we formalise the purely
logical result yielding this decomposition; second, we instantiate this generic theory to obtain a
construction for deterministic (state-based) Rabin automata (DRA). We extract from this particular
instantiation an executable tool translating LTL to DRAs. To the best of our knowledge this is the
first verified translation from LTL to DRAs that is proven to be double exponential in the worst
case which asymptotically matches the known lower bound.
\end{abstract}

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