doc-src/Logics/logics.tex

New arithmetic laws let us delete three lines of a proof

\documentclass[12pt]{report}
\usepackage{a4,latexsym,proof}

\makeatletter
\input{../rail.sty}
\input{../iman.sty}
\input{../extra.sty}
\makeatother

%% $Id$
%%%STILL NEEDS MODAL, LCF
%%%\includeonly{ZF}
%%% to index derived rls:  ^\([a-zA-Z0-9][a-zA-Z0-9_]*\)        \\tdx{\1}  
%%% to index rulenames:   ^ *(\([a-zA-Z0-9][a-zA-Z0-9_]*\),     \\tdx{\1}  
%%% to index constants:   \\tt \([a-zA-Z0-9][a-zA-Z0-9_]*\)     \\cdx{\1}  
%%% to deverbify:         \\verb|\([^|]*\)|     \\ttindex{\1}  
%% run    ../sedindex logics    to prepare index file
\title{Isabelle's Object-Logics}

\author{{\em Lawrence C. Paulson}\\
        Computer Laboratory \\ University of Cambridge \\
        \texttt{[e-mail]}\\[3ex] 
        With Contributions by Tobias Nipkow and Markus Wenzel%
\thanks{Tobias Nipkow revised and extended
    the chapter on \HOL.  Markus Wenzel made numerous improvements.
    Philippe de Groote wrote the
    first version of the logic~\LK{} and contributed to~\ZF{}.  Tobias
    Nipkow developed~\HOL{}, \LCF{} and~\Cube{}.  Philippe No\"el and
    Martin Coen made many contributions to~\ZF{}.  Martin Coen
    developed~\Modal{} with assistance from Rajeev Gor\'e.  The research has 
    been funded by the EPSRC (grants GR/G53279, GR/H40570, GR/K57381,
    GR/K77051) and by ESPRIT project 6453: Types.}
}

\newcommand\subcaption[1]{\par {\centering\normalsize\sc#1\par}\bigskip
  \hrule\bigskip}
\newenvironment{constants}{\begin{center}\small\begin{tabular}{rrrr}}{\end{tabular}\end{center}}

\makeindex

%%\newenvironment{example}{\begin{Example}\rm}{\end{Example}}
%%\newtheorem{Example}{Example}[chapter]

\underscoreoff

\setcounter{secnumdepth}{2} \setcounter{tocdepth}{2}  %% {secnumdepth}{2}???

\pagestyle{headings}
\sloppy
\binperiod     %%%treat . like a binary operator

\begin{document}
\maketitle 
\pagenumbering{roman} \tableofcontents \clearfirst
\include{intro}
\include{FOL}
\include{ZF}
\include{HOL}
\include{LK}
%%\include{Modal}
\include{CTT}
%%\include{Cube}
%%\include{LCF}
\bibliographystyle{plain}
\bibliography{string,general,atp,theory,funprog,logicprog,isabelle,crossref}
\input{logics.ind}
\end{document}