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\begin{document}

\title{Implementing the Nominal Logic Work in Isabelle/HOL}
\author{Brian Huffman\inst{1} and Christian Urban\inst{2}}
\institute{Portland State University \and Technical University of Munich}
\maketitle

\begin{abstract}
Pitts et al introduced a beautiful theory about names and binding based on the
notions of atoms, permutations and support. The engineering challenge is to
smoothly adapt this theory to a theorem prover environment, in our case
Isabelle/HOL.  We present a formalisation of this work that is based on a
unified atom type and that represents permutations by bijective functions from
atoms to atoms. Interestingly, we allow swappings, which are permutations
build from two atoms, to be ill-sorted.  Furthermore we extend the nominal
logic work with names that carry additional information and with a
formalisation of abstractions that bind finite sets of names.
\end{abstract}

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\end{document}

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