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\documentclass[../main.tex]{subfiles}
\begin{document}
\section{Writing ARTyST Programs}%
\label{sec:reducer}
We have used \lang{} to write two non-trivial programs that can be
embedded in System~T. The first is a fuelled reducer for
System~T. Given \(n\) units of fuel, the reducer will perform \(n\)
steps of complete~development~\cite{cd} on a System~T term. The second
program is the encoding from \lang{} to System~T. This takes a
type-annotated \lang{} program and encodes it as a System~T term.
\TODO{
\begin{itemize}
\item describe the syntactic sugar I have added
\end{itemize}
}
\TODO{
\begin{itemize}
\item describe the operation of the fuelled reducer
\item explain why fuel is necessary for the reducer
\item show some example snippets
\end{itemize}
}
\TODO{
\begin{itemize}
\item describe the inputs to the embedding
\item describe the output of the embedding
\item show a ``non-destructive'' fold
\item justify use of destructive folds
\end{itemize}
}
\TODO{
\begin{itemize}
\item describe why encoded terms have lots of beta redices
\item describe potential benefit of composing two programs
\item explain the limitiations of the reducer (e.g. eta and bools)
\end{itemize}
}
\end{document}
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