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\begin{document}

\title{\LARGE\bf General Bindings in Nominal Isabelle,\\ or How to

  Formalise Core-Haskell}

\maketitle

\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 binding

structures 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 provide strong induction principles that have the usual variable

convention already built in.

\end{abstract}

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