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\title{\includegraphics[scale=0.5]{isabelle_zf} \\[4ex] 

       Isabelle's Logics: FOL and ZF}

\author{{\em Lawrence C. Paulson}\\

        Computer Laboratory \\ University of Cambridge \\

        \texttt{lcp@cl.cam.ac.uk}\\[3ex] 

        With Contributions by Tobias Nipkow and Markus Wenzel}

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\begin{document}

\maketitle 

\begin{abstract}

This manual describes Isabelle's formalizations of many-sorted first-order

logic (\texttt{FOL}) and Zermelo-Fraenkel set theory (\texttt{ZF}).  See the

\emph{Reference Manual} for general Isabelle commands, and \emph{Introduction

  to Isabelle} for an overall tutorial.

This manual is part of the earlier Isabelle documentation, 

which is somewhat superseded by the Isabelle/HOL

\emph{Tutorial}~\cite{isa-tutorial}. However, the present document is the

only available documentation for Isabelle's versions of first-order logic

and set theory. Much of it is concerned with 

the primitives for conducting proofs 

using the ML top level.  It has been rewritten to use the Isar proof

language, but evidence of the old \ML{} orientation remains.

\end{abstract}

\subsubsection*{Acknowledgements} 

Markus Wenzel made numerous improvements.

    Philippe de Groote contributed to~ZF.  Philippe No\"el and

    Martin Coen made many contributions to~ZF.  The research has 

    been funded by the EPSRC (grants GR/G53279, GR/H40570, GR/K57381,

    GR/K77051, GR/M75440) and by ESPRIT (projects 3245:

    Logical Frameworks, and 6453: Types) and by the DFG Schwerpunktprogramm

    \emph{Deduktion}.

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