\def\mmmversion{1.1 Time-stamp: <2004-12-30 12:46:18 wand>}
\message{mmm.sty - Mitch's Math Macros version \mmmversion}

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

%% Revision history:



%% Tue Dec 17 13:28:29 2002:  initial version, based on material from
%% my various macros files.


%%%%%%%%%%%%%%%% TABLE OF CONTENTS %%%%%%%%%%%%%%%%

% 0. Imported Packages

% 1. Special TT Characters

% 2. Mathematics and Semantics
% 2.1 \ensuremath and friends
% 2.2 creating operators
% 2.3 Greek Letters Abbreviated
% 2.4 Metavariables
% 2.5 Some special things for semantics
% 2.6 {block} -- for calculations or indented formulas
% 2.7 opspace and friends

% 3. BNF Grammars
% 3.1 Grammar Elements
% 3.2 Grammar Environments

% 4. Diagrams (not much here)

% 5. Figures and Displays (handy!)

% 6. Miscellaneous Handy Things

%%%%%%%%%%%%%%%% 0. Imported Packages %%%%%%%%%%%%%%%%

\RequirePackage{alltt}
\RequirePackage{xspace}
%\RequirePackage{psfig}
\RequirePackage{epsf}

%%%%%%%%%%%%%%%% 1. Special TT Characters %%%%%%%%%%%%%%%%

% tilde, backslash
\def\til{{\tt\char'176}}        % \tt tilde
\def\bs{{\tt\char'134}}         % \tt backslashes

\def\hash{{\tt\char'043}}       % \tt hash
\def\hasht{{\tt \hash t}}       % \tt #t
\def\hashf{{\tt \hash f}}       % \tt #f

\def\lbr{{\tt \char'173}}       % \tt braces
\def\rbr{{\tt \char'175}}
\def\ttvert{{\tt \char'174}}    % \tt vertical line

%%%%%%%%%%%%%%%% 2. Mathematics %%%%%%%%%%%%%%%%

%%%% 2.1 \ensuremath

% Like \ensuremath, only better.  \xspace is your friend!
\newcommand{\ma}[1]{\ensuremath{#1}\xspace}

% use \mdef for 0-arg macros that are smart enough to go into mathmode without
% your telling them to.

\def\mdef#1#2{\def#1{\ma{#2}}}

%%%% 2.2 creating operators

\def\rmop#1{\ma{\mathop{\hbox{\rm #1\/}}\nolimits}}
\def\itop#1{\ma{\mathop{\hbox{\it #1\/}}\nolimits}}
\def\bfop#1{\ma{\mathop{\hbox{\bf #1\/}}\nolimits}}
\def\ttop#1{\ma{\mathop{\hbox{\ttfamily #1\/}}\nolimits}}

\def\itord#1{\ma{\mathord{\hbox{\it #1\/}}}}
\def\rmord#1{\ma{\mathord{\hbox{\rm #1\/}}}}
\def\bford#1{\ma{\mathord{\hbox{\bf #1\/}}}}
\def\ttord#1{\ma{\mathord{\hbox{\ttfamily #1\/}}}}

%% declaration syntax for these guys:

\def\newrmop#1#2{\def#1{\rmop{#2}}}
\def\newitop#1#2{\def#1{\itop{#2}}}
\def\newbfop#1#2{\def#1{\bfop{#2}}}
\def\newttop#1#2{\def#1{\ttop{#2}}}

\def\newitord#1#2{\def#1{\itord{#2}}}
\def\newrmord#1#2{\def#1{\rmord{#2}}}
\def\newbford#1#2{\def#1{\bford{#2}}}
\def\newttord#1#2{\def#1{\ttord{#2}}}

%%%% 2.3 Greek Letters abbreviated

\mdef\a{\alpha}
\mdef\b{\beta}
\mdef\g{\gamma}
\mdef\rr{\rho}
\mdef\l{\lambda}
\mdef\m{\mu}
\mdef\G{\Gamma}
\mdef\s{\sigma}
\mdef\t{\tau}
\mdef\z{\zeta}

%%% 2.4 Metavariables: You should never write e, you should write \exp or
%%% the like. 

%% \newmeta defines a new metavariable, which is automatically
%% subscripted. 

\newcommand\newmeta[2]{\def#1##1{\ma{#2_{##1}}}}

% Example:
\newmeta\exp{\itop{e}}
% use as: \exp0, \exp1, \exp2, \exp{}

%%% 2.5 Math stuff for semantics:

% \setof creates a set with brackets around it.  Use \alt for ``such
% that''.  

% Example: \setof{\exp{} \alt \rmop{fv}(\exp{}) \not= \emptyset}

\def\setof#1{\ensuremath{\{#1\}}}

%% \semfcn takes two arguments:  a semantic operator and an argument,
%% and surrounds the argument in open braces.

\def\semfcn#1#2{\mathop{#1}\nolimits\lbrack\!\lbrack{#2}\rbrack\!\rbrack}

% \newdom: declare a new domain (probably same as \newitop).

\def\newdom#1#2{\mdef#1{\mathop{\hbox{{\it #2}}}\nolimits\xspace}}

% \car, \cdr, \cons 

\mdef\car{\rmop{car}}
\mdef\cdr{\rmop{cdr}}
\mdef\cons{\rmop{cons}}

%% 2.6 For block-structure & indented formulas

\newcommand{\block}[1]{\begin{array}[t]{@{}l@{}l@{}l@{}l@{}l@{}l}#1\end{array}}


%% 2.7 opspace and friends

\newcommand\opspace{\mathop{}{}} % from Krivine paper
\newcommand\opdots{\opspace \dots \opspace\opspace}  % math mode only
\newcommand\commadots{, \dots, }  % math mode only

%%%%%%%%%%%%%%%% 3. BNF Grammars %%%%%%%%%%%%%%%%

%%%% 3.1 Grammar Elements

% basic grammar elements
% nonterminal names default to roman, even in theorems.
\def\nt#1{\hbox{$\langle\hbox{\rm #1\/}\rangle$}}
\def\term#1{\hbox{\tt #1}}      % I usually put \, before and after the hbox.
\def\alt{~\vert~}

\def\lparen{\term{(}}           % deprecated, because it breaks paren matching.
\def\rparen{\term{)}}           % likewise

\def\st#1{\ensuremath{\{#1\}^*}}
\def\pl#1{\ensuremath{\{#1\}^+}}
\def\seplist#1#2{\ensuremath{\{#1\}^{*({#2})}}}
\def\pst#1{\term(\st{#1}\term)}

%%%% 3.2 Grammar Environments

%% Adapted from eopl.sty

%% The grammar environment normally lives inside a displaymath.
%% It automatically generates a ::= on each line.  
%% It has 3 fields:  lll .  The 3th field is for commentary.
%% Alas, Latex does not have a good way of automatically switching modes on a
%% per-field basis, so you'll have to put in $...$ around text-mode stuff,or
%% $|...|$ around tt-mode stuff.

%% If you want different things in place of the ::=, use altgrammar
%% instead.  

%% Also you can use \multilineproduction for productions that are too
%% long to fit on a single line.

\newenvironment{grammar}{\begin{array}{l@{{}::={}}l@{\quad}l}}{\end{array}}

% This version puts about the right amount of space around the
% operator, at least to my eye.
\newenvironment{altgrammar}{\begin{array}{l@{\ }c@{\ }l@{\qquad}l}}{\end{array}}
% alternate version, with less space.
% \newenvironment{altgrammar}{\begin{array}{l@{{}}c@{}ll}}{\end{array}}



%% \production: for simple productions. rhs goes into tt by default.  
%% If you want a comment in field 3, put it in an mbox. Example:

% \production{\nt{expression}}
%   {if \nt{expression} then \nt{expression} else \nt{expression}} 
%   & \mbox{conditional expression} \\

\def\production#1#2{{#1} & \texttt{#2}}

% \altproduction: like \production, but for use with \altgrammar.

\def\altproduction#1#2#3{{#1} &{#2} \texttt{#3}}

% rhs for multiline production:  This is like a little array that can be used
% for a production that spans multiple lines, as in:
%
% &\multilineproduction{
%         \term{simpleclass}\ \nt{varlist}\ \nt{varlist}\ \nt{methdecls}\
%                 \nt{exp} \\  
%         \quad $|new-simpleclass (c-vars i-vars methdecls init-exp)|$ } \\


\def\multilineproduction#1{\multicolumn{2}{@{}l}{\begin{array}[t]{@{}l}#1\end{array}}}

%%%%%%%%%%%%%%%% 4. Diagrams %%%%%%%%%%%%%%%%

%% I don't really know how to get a diagram centered reliably.  Here's
%% the code that I have. 
%% Wed Mar 12 14:46:32 2003: This seems to work.

%% Wed Mar 12 14:47:12 2003 the diagramdirectory should end with a ``/''!

\def\diagramdirectory{}
\def\diagram#1{\centerline{\epsffile{\diagramdirectory#1}}}

%% http://mars.fis.uc.pt/hera-b/epsfigures.html#epslatex suggests
%% using epsfig, rather than psfig, and using \centering, as in:

%\begin{figure}[htbp]
%\centering
%\epsfig{file=example.eps, width=\textwidth}
%\caption{ Caption text. }
%\label{fig:example}
%\end{figure}

% We'll have to try this sometime.

%%%%%%%%%%%%%%%% 5. Figures and Displays %%%%%%%%%%%%%%%%

%% separators for top and bottom of displays and figures:

\def\dstart{\hbox to \hsize{\vrule depth 4pt\hrulefill\vrule depth 4pt}}
\def\dend{\hbox to \hsize{\vrule height 4pt\hrulefill\vrule height 4pt}}
% not used, I think.
% \def\niceline{\hrule height 0.75pt}

%% put nice lines at the top and bottom of figures to make them stand out from
%% text.  Set these to {} to reset.
\def\figstart{\bigskip\dstart}
\def\figend{\dend\bigskip}

%% display: like displaymath, but with nice lines at beginning and end

\newenvironment{display}{\bigskip\dstart\begin{displaymath}}%
{\end{displaymath}\dend\bigskip}

%% titled displays: handy for grammars and stuff:

\newenvironment{tdisplay}[1]{\vbox\bgroup\bigskip{\bf #1}\vspace{-8pt}\\\dstart\begin{displaymath}}%
{\end{displaymath}\dend\bigskip\egroup}

\renewenvironment{display}{\begin{tdisplay}{\ }}{\end{tdisplay}}

% Example:  this also shows short-form grammars (but see above about
% metavariables). 

%\begin{tdisplay}{Sets2}
%\begin{altgrammar}
%v   &\in&      \Val   &\mbox{Expressed Values} \\
%l   &\in&      \Loc   &\mbox{Locations} \\
%s &\in&        \Sto   &\mbox{Stores} \\
%\end{altgrammar}
%\end{tdisplay}

% in an altgrammar environment, the lhs's are left-aligned, whereas
% they are right aligned in the first example.  Right now, I am
% recommending altgrammar, which looks good to me.  YMMV.

%%%%%%%%%%%%%%%% 6. Miscellaneous Handy Things %%%%%%%%%%%%%%%%

% Use this with emacs time-stamp mode.

\def\timestamp{}
\def\Time-stamp: <#1>{\gdef\timestamp{#1}}

% Put
% % \Time-stamp: <> 
% somewhere in the first few lines of your file.  Emacs will rewrite
% the <> to a timestamp, and then you can do things like put the
% following in your \author: 
% {Draft of \timestamp}\\
% Better than \date!

% To use time-stamp mode in emacs, put the following lines in your
% .emacs :

% (add-hook 'write-file-hooks 'time-stamp)
% ; optional: for compatibility with Emacs 20, Y2K:
% (setq time-stamp-format "%:y-%02m-%02d %02H:%02M:%02S %u")

% Mitch likes spaces between paragraphs!
\def\betterspacing{\parskip=0.75ex plus 0.25ex}