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\begin{document}

\title{Taylor Models}
\author{Christoph Traut and Fabian Immler}
\maketitle

\begin{abstract}
We present a formally verified implementation of multivariate Taylor models. Taylor models are a
form of rigorous polynomial approximation, consisting of an approximation polynomial based on Taylor
expansions, combined with a rigorous bound on the approximation error. Taylor models were introduced
as a tool to mitigate the dependency problem of interval arithmetic. Our implementation
automatically computes Taylor models for the class of elementary functions, expressed by composition
of arithmetic operations and basic functions like exp, sin, or square root.
\end{abstract}


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