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\title{Büchi Complementation}
\author{Julian Brunner}

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\begin{abstract}
	This entry provides a verified implementation of rank-based Büchi Complementation \cite{complementation}.
	The verification is done in three steps:
	\begin{enumerate}
		\item Definition of odd rankings and proof that an automaton rejects a word iff there exists an odd ranking for it.
		\item Definition of the complement automaton and proof that it accepts exactly those words for which there is an odd ranking.
		\item Verified implementation of the complement automaton using the Isabelle Collections Framework.
	\end{enumerate}
\end{abstract}

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