article.tex

   1 \documentclass[a4paper,leqno]{strayman}
   2 \errorcontextlines=50
   3 \let\numberwithin=\notdef
   4 \usepackage{amsmath}
   5 \usepackage{mathabx}
   6 \usepackage{txfonts}
   7 \usepackage{amsfonts}
   8 \usepackage{mdwlist}
   9 %\usepackage{accents}
  10
  11 \usepackage{fancyhdr}
  12 \pagestyle{fancy}
  13 \lhead[\rightmark]{}
  14
  15 \let\stdsection\section
  16 \renewcommand\section{\newpage\stdsection}
  17
  18 \renewcommand{\ge}{\geqslant}
  19 \renewcommand{\le}{\leqslant}
  20 \newcommand{\nge}{\ngeqslant}
  21 \newcommand{\nle}{\nleqslant}
  22
  23 \newcommand{\has}{\sqsupseteq}
  24 \newcommand{\isin}{\sqsubseteq}
  25
  26 \newcommand{\nothaspatch}{\mathrel{\,\not\!\not\relax\haspatch}}
  27 \newcommand{\notpatchisin}{\mathrel{\,\not\!\not\relax\patchisin}}
  28 \newcommand{\haspatch}{\sqSupset}
  29 \newcommand{\patchisin}{\sqSubset}
  30
  31         \newif\ifhidehack\hidehackfalse
  32         \DeclareRobustCommand\hidefromedef[2]{%
  33           \hidehacktrue\ifhidehack#1\else#2\fi\hidehackfalse}
  34         \newcommand{\pa}[1]{\hidefromedef{\varmathbb{#1}}{#1}}
  35
  36 \newcommand{\set}[1]{\mathbb{#1}}
  37 \newcommand{\pay}[1]{\pa{#1}^+}
  38 \newcommand{\pan}[1]{\pa{#1}^-}
  39
  40 \newcommand{\p}{\pa{P}}
  41 \newcommand{\py}{\pay{P}}
  42 \newcommand{\pn}{\pan{P}}
  43
  44 \newcommand{\pl}{\pa{L}}
  45 \newcommand{\ply}{\pay{L}}
  46 \newcommand{\pln}{\pan{L}}
  47
  48 \newcommand{\pq}{\pa{Q}}
  49 \newcommand{\pqy}{\pay{Q}}
  50 \newcommand{\pqn}{\pan{Q}}
  51
  52 \newcommand{\pr}{\pa{R}}
  53 \newcommand{\pry}{\pay{R}}
  54 \newcommand{\prn}{\pan{R}}
  55
  56 %\newcommand{\hasparents}{\underaccent{1}{>}}
  57 %\newcommand{\hasparents}{{%
  58 %  \declareslashed{}{_{_1}}{0}{-0.8}{>}\slashed{>}}}
  59 \newcommand{\hasparents}{>_{\mkern-7.0mu _1}}
  60 \newcommand{\areparents}{<_{\mkern-14.0mu _1\mkern+5.0mu}}
  61
  62 \renewcommand{\implies}{\Rightarrow}
  63 \renewcommand{\equiv}{\Leftrightarrow}
  64 \renewcommand{\nequiv}{\nLeftrightarrow}
  65 \renewcommand{\land}{\wedge}
  66 \renewcommand{\lor}{\vee}
  67
  68 \newcommand{\pancs}{{\mathcal A}}
  69 \newcommand{\pends}{{\mathcal E}}
  70
  71 \newcommand{\pancsof}[2]{\pancs ( #1 , #2 ) }
  72 \newcommand{\pendsof}[2]{\pends ( #1 , #2 ) }
  73
  74 \newcommand{\merge}{{\mathcal M}}
  75 \newcommand{\mergeof}[4]{\merge(#1,#2,#3,#4)}
  76 %\newcommand{\merge}[4]{{#2 {{\frac{ #1 }{ #3 } #4}}}}
  77
  78 \newcommand{\patch}{{\mathcal P}}
  79 \newcommand{\base}{{\mathcal B}}
  80
  81 \newcommand{\patchof}[1]{\patch ( #1 ) }
  82 \newcommand{\baseof}[1]{\base ( #1 ) }
  83
  84 \newcommand{\eqntag}[2]{ #2 \tag*{\mbox{#1}} }
  85 \newcommand{\eqn}[2]{ #2 \tag*{\mbox{\bf #1}} }
  86
  87 %\newcommand{\bigforall}{\mathop{\hbox{\huge$\forall$}}}
  88 \newcommand{\bigforall}{%
  89   \mathop{\mathchoice%
  90     {\hbox{\huge$\forall$}}%
  91     {\hbox{\Large$\forall$}}%
  92     {\hbox{\normalsize$\forall$}}%
  93     {\hbox{\scriptsize$\forall$}}}%
  94 }
  95
  96 \newcommand{\Largeexists}{\mathop{\hbox{\Large$\exists$}}}
  97 \newcommand{\Largenexists}{\mathop{\hbox{\Large$\nexists$}}}
  98
  99 \newcommand{\qed}{\square}
 100 \newcommand{\proofstarts}{{\it Proof:}}
 101 \newcommand{\proof}[1]{\proofstarts #1 $\qed$}
 102
 103 \newcommand{\gathbegin}{\begin{gather} \tag*{}}
 104 \newcommand{\gathnext}{\\ \tag*{}}
 105
 106 \newcommand{\true}{t}
 107 \newcommand{\false}{f}
 108
 109 \begin{document}
 110
 111 \input{notation.tex}
 112 \input{invariants.tex}
 113 \input{lemmas.tex}
 114 \input{annotations.tex}
 115
 116 \input{simple.tex}
 117 \input{create-base.tex}
 118 \input{create-tip.tex}
 119 \input{anticommit.tex}
 120 \input{merge.tex}
 121
 122 \end{document}