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\begin{document}

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\section*{NuPRL}

\hypertarget{context}{}\subsubsection*{{Context}}\label{context}

\hypertarget{constructivism_realizability_computability}{}\paragraph*{{Constructivism, Realizability, Computability}}\label{constructivism_realizability_computability}

[[!include constructivism - contents]]

\hypertarget{type_theory}{}\paragraph*{{Type theory}}\label{type_theory}

[[!include type theory - contents]]

\hypertarget{contents}{}\section*{{Contents}}\label{contents}

\noindent\hyperlink{idea}{Idea}\dotfill \pageref*{idea} \linebreak
\noindent\hyperlink{descendants}{Descendants}\dotfill \pageref*{descendants} \linebreak
\noindent\hyperlink{related_entries}{Related entries}\dotfill \pageref*{related_entries} \linebreak
\noindent\hyperlink{references}{References}\dotfill \pageref*{references} \linebreak


\hypertarget{idea}{}\subsection*{{Idea}}\label{idea}

An [[extensional type theory]] [[proof management system]].

The dialect of [[intuitionistic type theory]] used is also referred to as \emph{[[computational type theory]]}.

The PRL part of the name evidently stands for ``Proof Refinement Logic''.

\hypertarget{descendants}{}\subsection*{{Descendants}}\label{descendants}

\begin{itemize}%
\item \href{http://metaprl.org/}{MetaPRL}: A logical framework implementation that includes (an old version of) Nuprl's logic as a theory, and focuses on an efficient, modular tactic engine for proof automation.


\item \href{http://redprl.org/}{RedPRL}: An experimental proof assistant for a [[cubical type theory|cubical]] variant of computational type theory.


\item [[prototype CLF|Prototype CLF]]: A tentative design for a modern, minimalistic variant of Nuprl's logic, with an emphasis on internally reflecting the semantic judgments.



\end{itemize}
\hypertarget{related_entries}{}\subsection*{{Related entries}}\label{related_entries}

[[!include proof assistants and formalization projects -- list]]

\hypertarget{references}{}\subsection*{{References}}\label{references}

\begin{itemize}%
\item \emph{\href{http://www.nuprl.org/}{PRL Project}} .


\item [[Robert Constable]], Stuart F. Allen, H. M. Bromley, W. R. Cleaveland, J. F. Cremer, R. W. Harper, Douglas J. Howe, T. B. Knoblock, N. P. Mendler, P. Panangaden, James T. Sasaki, and Scott F. Smith. \emph{Implementing Mathematics with the Nuprl Proof Development System}. Prentice-Hall, NJ, 1986.



\end{itemize}
\begin{itemize}%
\item \emph{Innovations in Computational Type Theory using Nuprl} (\href{http://www.cs.uni-potsdam.de/ti/kreitz/PDF/05jal-nuprl.pdf}{pdf})

\end{itemize}
\begin{itemize}%
\item [[Robert Constable]], \emph{The Triumph of Types: Creating a Logic of Computational Reality} ([[ConstableTriumphOfTypes.pdf:file]])

\end{itemize}
[[!redirects NuPrl]]

[[!redirects Nuprl]]



\end{document}