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\begin{document}

\title{\LARGE\bf General Bindings in Nominal Isabelle,\\ or How to
  Formalise Core-Haskell}
\author{Christian Urban, Cezary Kaliszyk}
\affiliation{TU Munich, Germany}
\maketitle

\begin{abstract} 
Nominal Isabelle is a definitional extension of the Isabelle/HOL theorem
prover. It provides a proving infrastructure for convenient reasoning about
programming language calculi involving named bound variables (as
opposed to de-Bruijn indices). In this paper we present an extension of
Nominal Isabelle for dealing with general bindings, that means
term-constructors where multiple variables are bound at once. Such general
bindings are ubiquitous in programming language research and only very
poorly supported with single binders, such as lambda-abstractions. Our
extension includes novel definitions of alpha-equivalence and establishes
automatically the reasoning infrastructure for alpha-equated terms. We
also prove strong induction principles that have the usual variable
convention already built in.
\end{abstract}


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