diff -r fb201e383f1b -r da575186d492 ESOP-Paper/document/proof.sty
--- a/ESOP-Paper/document/proof.sty	Tue Feb 19 05:38:46 2013 +0000
+++ /dev/null	Thu Jan 01 00:00:00 1970 +0000
@@ -1,278 +0,0 @@
-%       proof.sty       (Proof Figure Macros)
-%
-%       version 3.0 (for both LaTeX 2.09 and LaTeX 2e)
-%       Mar 6, 1997
-%       Copyright (C) 1990 -- 1997, Makoto Tatsuta (tatsuta@kusm.kyoto-u.ac.jp)
-% 
-% This program is free software; you can redistribute it or modify
-% it under the terms of the GNU General Public License as published by
-% the Free Software Foundation; either versions 1, or (at your option)
-% any later version.
-% 
-% This program is distributed in the hope that it will be useful
-% but WITHOUT ANY WARRANTY; without even the implied warranty of
-% MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
-% GNU General Public License for more details.
-%
-%       Usage:
-%               In \documentstyle, specify an optional style `proof', say,
-%                       \documentstyle[proof]{article}.
-%
-%       The following macros are available:
-%
-%       In all the following macros, all the arguments such as
-%       <Lowers> and <Uppers> are processed in math mode.
-%
-%       \infer<Lower><Uppers>
-%               draws an inference.
-%
-%               Use & in <Uppers> to delimit upper formulae.
-%               <Uppers> consists more than 0 formulae.
-%
-%               \infer returns \hbox{ ... } or \vbox{ ... } and
-%               sets \@LeftOffset and \@RightOffset globally.
-%
-%       \infer[<Label>]<Lower><Uppers>
-%               draws an inference labeled with <Label>.
-%
-%       \infer*<Lower><Uppers>
-%               draws a many step deduction.
-%
-%       \infer*[<Label>]<Lower><Uppers>
-%               draws a many step deduction labeled with <Label>.
-%
-%       \infer=<Lower><Uppers>
-%               draws a double-ruled deduction.
-%
-%       \infer=[<Label>]<Lower><Uppers>
-%               draws a double-ruled deduction labeled with <Label>.
-%
-%       \deduce<Lower><Uppers>
-%               draws an inference without a rule.
-%
-%       \deduce[<Proof>]<Lower><Uppers>
-%               draws a many step deduction with a proof name.
-%
-%       Example:
-%               If you want to write
-%                           B C
-%                          -----
-%                      A     D
-%                     ----------
-%                         E
-%       use
-%               \infer{E}{
-%                       A
-%                       &
-%                       \infer{D}{B & C}
-%               }
-%
-
-%       Style Parameters
-
-\newdimen\inferLineSkip         \inferLineSkip=2pt
-\newdimen\inferLabelSkip        \inferLabelSkip=5pt
-\def\inferTabSkip{\quad}
-
-%       Variables
-
-\newdimen\@LeftOffset   % global
-\newdimen\@RightOffset  % global
-\newdimen\@SavedLeftOffset      % safe from users
-
-\newdimen\UpperWidth
-\newdimen\LowerWidth
-\newdimen\LowerHeight
-\newdimen\UpperLeftOffset
-\newdimen\UpperRightOffset
-\newdimen\UpperCenter
-\newdimen\LowerCenter
-\newdimen\UpperAdjust
-\newdimen\RuleAdjust
-\newdimen\LowerAdjust
-\newdimen\RuleWidth
-\newdimen\HLabelAdjust
-\newdimen\VLabelAdjust
-\newdimen\WidthAdjust
-
-\newbox\@UpperPart
-\newbox\@LowerPart
-\newbox\@LabelPart
-\newbox\ResultBox
-
-%       Flags
-
-\newif\if@inferRule     % whether \@infer draws a rule.
-\newif\if@DoubleRule    % whether \@infer draws doulbe rules.
-\newif\if@ReturnLeftOffset      % whether \@infer returns \@LeftOffset.
-\newif\if@MathSaved     % whether inner math mode where \infer or
-                       % \deduce appears.
-
-%       Special Fonts
-
-\def\DeduceSym{\vtop{\baselineskip4\p@ \lineskiplimit\z@
-    \vbox{\hbox{.}\hbox{.}\hbox{.}}\hbox{.}}}
-
-%       Math Save Macros
-%
-%       \@SaveMath is called in the very begining of toplevel macros
-%       which are \infer and \deduce.
-%       \@RestoreMath is called in the very last before toplevel macros end.
-%       Remark \infer and \deduce ends calling \@infer.
-
-\def\@SaveMath{\@MathSavedfalse \ifmmode \ifinner
-       \relax $\relax \@MathSavedtrue \fi\fi }
-
-\def\@RestoreMath{\if@MathSaved \relax $\relax\fi }
-
-%       Macros
-
-% Renaming @ifnextchar and @ifnch of LaTeX2e to @IFnextchar and @IFnch.
-
-\def\@IFnextchar#1#2#3{%
-  \let\reserved@e=#1\def\reserved@a{#2}\def\reserved@b{#3}\futurelet
-    \reserved@c\@IFnch}
-\def\@IFnch{\ifx \reserved@c \@sptoken \let\reserved@d\@xifnch
-      \else \ifx \reserved@c \reserved@e\let\reserved@d\reserved@a\else
-          \let\reserved@d\reserved@b\fi
-      \fi \reserved@d}
-
-\def\@ifEmpty#1#2#3{\def\@tempa{\@empty}\def\@tempb{#1}\relax
-       \ifx \@tempa \@tempb #2\else #3\fi }
-
-\def\infer{\@SaveMath \@IFnextchar *{\@inferSteps}{\relax
-       \@IFnextchar ={\@inferDoubleRule}{\@inferOneStep}}}
-
-\def\@inferOneStep{\@inferRuletrue \@DoubleRulefalse
-       \@IFnextchar [{\@infer}{\@infer[\@empty]}}
-
-\def\@inferDoubleRule={\@inferRuletrue \@DoubleRuletrue
-       \@IFnextchar [{\@infer}{\@infer[\@empty]}}
-
-\def\@inferSteps*{\@IFnextchar [{\@@inferSteps}{\@@inferSteps[\@empty]}}
-
-\def\@@inferSteps[#1]{\@deduce{#1}[\DeduceSym]}
-
-\def\deduce{\@SaveMath \@IFnextchar [{\@deduce{\@empty}}
-       {\@inferRulefalse \@infer[\@empty]}}
-
-%       \@deduce<Proof Label>[<Proof>]<Lower><Uppers>
-
-\def\@deduce#1[#2]#3#4{\@inferRulefalse
-       \@infer[\@empty]{#3}{\@SaveMath \@infer[{#1}]{#2}{#4}}}
-
-%       \@infer[<Label>]<Lower><Uppers>
-%               If \@inferRuletrue, it draws a rule and <Label> is right to
-%               a rule. In this case, if \@DoubleRuletrue, it draws
-%               double rules.
-%
-%               Otherwise, draws no rule and <Label> is right to <Lower>.
-
-\def\@infer[#1]#2#3{\relax
-% Get parameters
-       \if@ReturnLeftOffset \else \@SavedLeftOffset=\@LeftOffset \fi
-       \setbox\@LabelPart=\hbox{$#1$}\relax
-       \setbox\@LowerPart=\hbox{$#2$}\relax
-%
-       \global\@LeftOffset=0pt
-       \setbox\@UpperPart=\vbox{\tabskip=0pt \halign{\relax
-               \global\@RightOffset=0pt \@ReturnLeftOffsettrue $##$&&
-               \inferTabSkip
-               \global\@RightOffset=0pt \@ReturnLeftOffsetfalse $##$\cr
-               #3\cr}}\relax
-%                       Here is a little trick.
-%                       \@ReturnLeftOffsettrue(false) influences on \infer or
-%                       \deduce placed in ## locally
-%                       because of \@SaveMath and \@RestoreMath.
-       \UpperLeftOffset=\@LeftOffset
-       \UpperRightOffset=\@RightOffset
-% Calculate Adjustments
-       \LowerWidth=\wd\@LowerPart
-       \LowerHeight=\ht\@LowerPart
-       \LowerCenter=0.5\LowerWidth
-%
-       \UpperWidth=\wd\@UpperPart \advance\UpperWidth by -\UpperLeftOffset
-       \advance\UpperWidth by -\UpperRightOffset
-       \UpperCenter=\UpperLeftOffset
-       \advance\UpperCenter by 0.5\UpperWidth
-%
-       \ifdim \UpperWidth > \LowerWidth
-               % \UpperCenter > \LowerCenter
-       \UpperAdjust=0pt
-       \RuleAdjust=\UpperLeftOffset
-       \LowerAdjust=\UpperCenter \advance\LowerAdjust by -\LowerCenter
-       \RuleWidth=\UpperWidth
-       \global\@LeftOffset=\LowerAdjust
-%
-       \else   % \UpperWidth <= \LowerWidth
-       \ifdim \UpperCenter > \LowerCenter
-%
-       \UpperAdjust=0pt
-       \RuleAdjust=\UpperCenter \advance\RuleAdjust by -\LowerCenter
-       \LowerAdjust=\RuleAdjust
-       \RuleWidth=\LowerWidth
-       \global\@LeftOffset=\LowerAdjust
-%
-       \else   % \UpperWidth <= \LowerWidth
-               % \UpperCenter <= \LowerCenter
-%
-       \UpperAdjust=\LowerCenter \advance\UpperAdjust by -\UpperCenter
-       \RuleAdjust=0pt
-       \LowerAdjust=0pt
-       \RuleWidth=\LowerWidth
-       \global\@LeftOffset=0pt
-%
-       \fi\fi
-% Make a box
-       \if@inferRule
-%
-       \setbox\ResultBox=\vbox{
-               \moveright \UpperAdjust \box\@UpperPart
-               \nointerlineskip \kern\inferLineSkip
-               \if@DoubleRule
-               \moveright \RuleAdjust \vbox{\hrule width\RuleWidth
-                       \kern 1pt\hrule width\RuleWidth}\relax
-               \else
-               \moveright \RuleAdjust \vbox{\hrule width\RuleWidth}\relax
-               \fi
-               \nointerlineskip \kern\inferLineSkip
-               \moveright \LowerAdjust \box\@LowerPart }\relax
-%
-       \@ifEmpty{#1}{}{\relax
-%
-       \HLabelAdjust=\wd\ResultBox     \advance\HLabelAdjust by -\RuleAdjust
-       \advance\HLabelAdjust by -\RuleWidth
-       \WidthAdjust=\HLabelAdjust
-       \advance\WidthAdjust by -\inferLabelSkip
-       \advance\WidthAdjust by -\wd\@LabelPart
-       \ifdim \WidthAdjust < 0pt \WidthAdjust=0pt \fi
-%
-       \VLabelAdjust=\dp\@LabelPart
-       \advance\VLabelAdjust by -\ht\@LabelPart
-       \VLabelAdjust=0.5\VLabelAdjust  \advance\VLabelAdjust by \LowerHeight
-       \advance\VLabelAdjust by \inferLineSkip
-%
-       \setbox\ResultBox=\hbox{\box\ResultBox
-               \kern -\HLabelAdjust \kern\inferLabelSkip
-               \raise\VLabelAdjust \box\@LabelPart \kern\WidthAdjust}\relax
-%
-       }\relax % end @ifEmpty
-%
-       \else % \@inferRulefalse
-%
-       \setbox\ResultBox=\vbox{
-               \moveright \UpperAdjust \box\@UpperPart
-               \nointerlineskip \kern\inferLineSkip
-               \moveright \LowerAdjust \hbox{\unhbox\@LowerPart
-                       \@ifEmpty{#1}{}{\relax
-                       \kern\inferLabelSkip \unhbox\@LabelPart}}}\relax
-       \fi
-%
-       \global\@RightOffset=\wd\ResultBox
-       \global\advance\@RightOffset by -\@LeftOffset
-       \global\advance\@RightOffset by -\LowerWidth
-       \if@ReturnLeftOffset \else \global\@LeftOffset=\@SavedLeftOffset \fi
-%
-       \box\ResultBox
-       \@RestoreMath
-}