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\begin{document}
\title{The $\lambda\mu$-calculus}
\author{Cristina Matache \and Victor B.~F.~Gomes \and Dominic P.~Mulligan}
\maketitle
\tableofcontents
\abstract{
The propositions-as-types correspondence is ordinarily presented as linking
the metatheory of typed $\lambda$-calculi and the proof theory of
intuitionistic logic. Griffin~\cite{DBLP:conf/popl/Griffin90} observed that
this correspondence could be extended to classical logic through the use of
control operators. This observation set off a flurry of further research,
leading to the development of Parigot’s
$\lambda\mu$-calculus~\cite{DBLP:conf/lpar/Parigot92}. In this work, we
formalise $\lambda\mu$-calculus in Isabelle/HOL and prove several
metatheoretical properties such as type preservation and progress.
}
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