| 1 | %\usepackage{amsmath,amssymb,stmaryrd}
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| 2 | \usepackage{graphicx}
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| 3 | \usepackage{url}
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| 4 | \usefonttheme[onlymath]{serif}
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| 5 |
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| 6 | \setbeamersize{text margin left=2mm, text margin right=1mm, %
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| 7 | sidebar width left=0mm, sidebar width right=3mm}
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| 8 | \graphicspath{{../images/}}
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| 9 | \author{Stephen F.\ Siegel}
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| 10 | \institute{Department of Computer and Information Sciences\\University
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| 11 | of Delaware}
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| 12 | %\newenvironment{pic}[4]{\begin{pgfpictureboxed}{#1}{#2}{#3}{#4}}{\end{pgfpictureboxed}}
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| 13 | \newenvironment{pic}[4]{\begin{pgfpicture}{#1}{#2}{#3}{#4}}{\end{pgfpicture}}
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| 14 |
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| 15 | \newcommand{\myurl}[1]{\textcolor{blue}{\url{#1}}}
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| 16 |
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| 17 | \newcommand{\foot}[1]{%
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| 18 | \usefoottemplate{\hspace{0mm}\raisebox{1mm}[0mm][0mm]{%
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| 19 | \makebox[0pt][l]{\tiny
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| 20 | \color{blue!50}
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| 21 | S.F.\ Siegel $\diamond$
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| 22 | University of Delaware $\diamond$
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| 23 | #1 \hspace{1mm}
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| 24 | {\color{black!100}\insertframenumber}}}}}
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| 25 |
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| 26 | \newcommand{\code}[1]{\textcolor{blue}{\texttt{#1}}}
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| 27 |
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| 28 | % \newcommand{\U}{{\ttfamily\symbol{'137}}}
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| 29 | % \newcommand{\lb}{\texttt{\char`\{}}
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| 30 | % \newcommand{\rb}{\texttt{\char`\}}}
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| 31 | % \newcommand{\bs}{\texttt{\char`\\}}
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| 32 | % \newcommand{\ra}{\rightarrow}
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| 33 | % \renewcommand{\implies}{\Rightarrow}
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| 34 | % \renewcommand{\iff}{\Leftrightarrow}
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| 35 | % %\renewcommand{\emptyset}{\varphi}
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| 36 | \newcommand{\Z}{\mathbb{Z}}
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| 37 | %\newcommand{\N}{\mathbb{N}}
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| 38 | \newcommand{\R}{\mathbb{R}}
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| 39 | % \newcommand{\spin}{\textsc{Spin}}
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| 40 | % \newcommand{\mpispin}{\textsc{Mpi-Spin}}
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| 41 | % \newcommand{\x}{\mathbf{x}}
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| 42 | % \newcommand{\y}{\mathbf{y}}
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| 43 | % \newcommand{\mat}[4]{\bigl(\begin{smallmatrix}#1\\#3\end{smallmatrix}\bigr)}
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| 44 |
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| 45 | % \newcommand{\model}{\mathcal{M}}
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| 46 | % \newcommand{\vocab}{\mathcal{V}}
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| 47 | % \newcommand{\vars}{\mathcal{X}}
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| 48 | % \newcommand{\valof}[1]{\llbracket #1 \rrbracket}
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| 49 | % \newcommand{\valofma}[1]{\valof{#1}_{\model}(\alpha)}
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| 50 | % \newcommand{\true}{\textbf{T}}
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| 51 | % \newcommand{\false}{\textbf{F}}
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| 52 | % \newcommand{\satisfies}{\models}
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| 53 | % \newcommand{\infers}{\vdash}
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| 54 | % \newcommand{\sep}{\hspace{3mm}}
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| 55 | % \newcommand{\Vars}{\textsf{Vars}}
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| 56 | % \newcommand{\FV}{\textsf{FV}}
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| 57 | % \newcommand{\fmap}[1]{\lceil#1\rceil}
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| 58 | % \newcommand{\myForm}{\textbf{Form}}
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| 59 | % \newcommand{\Prop}{\textbf{Prop}}
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| 60 | % \newcommand{\PL}{\textsf{PL}}
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| 61 | % \newcommand{\FOL}{\textsf{FOL}}
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| 62 | % \newcommand{\BV}{\textsf{BV}}
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| 63 | % \newtheorem{proposition}{Proposition}
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| 64 | % \newcommand{\attribute}[1]{\par\begin{flushright}\tiny\textcolor{gray}{---\
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| 65 | % #1}\end{flushright}\par}
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| 66 | % \newcommand{\pSymbs}{\textsf{pSymbs}}
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| 67 | % \newcommand{\NPL}{\mathcal{N}_{\textsf{PL}}}
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| 68 | % \newcommand{\Herb}{\mathcal{H}}
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| 69 | % \newcommand{\DHerb}{D_\Herb}
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| 70 | % \newcommand{\IH}{I_\Herb}
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| 71 | % \newcommand{\sorts}{\mathcal{S}}
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| 72 | % \newcommand{\bool}{\textsf{bool}}
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| 73 |
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| 74 | % \newcommand{\theory}{\mathcal{T}}
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| 75 | % \newcommand{\aread}{\textit{read}}
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| 76 | % \newcommand{\awrite}{\textit{write}}
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| 77 | % \newcommand{\sarrow}{\leadsto}
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| 78 |
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| 79 | % \newenvironment{hoare}{%
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| 80 | % \begin{displaymath}%
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| 81 | % \renewcommand{\arraystretch}{4}%
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| 82 | % \begin{array}[t]{r@{.\hspace{4mm}}l@{\hspace{5mm}}l}%
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| 83 | % }{%
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| 84 | % \end{array}%
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| 85 | % \end{displaymath}%
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| 86 | % }
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| 87 |
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| 88 | % \newcommand{\bigtrip}[3]{%
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| 89 | % {%
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| 90 | % \renewcommand{\arraystretch}{1}%
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| 91 | % \begin{array}[c]{l}%
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| 92 | % {\color{blue}\{#1\}}\\\hspace{5mm}#2\\{\color{blue}\{#3\}}%
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| 93 | % \end{array}%
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| 94 | % }%
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| 95 | % }
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| 96 | % \newcommand{\ttrip}[3]{%
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| 97 | % {%
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| 98 | % \renewcommand{\arraystretch}{1}%
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| 99 | % \begin{array}[c]{l}%
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| 100 | % {\color{blue}[#1]}\\\hspace{5mm}#2\\{\color{blue}[#3]}%
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| 101 | % \end{array}%
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| 102 | % }%
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| 103 | % }
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| 104 | % \newcommand{\trip}[3]{%
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| 105 | % {\color{blue}\{#1\}}\: #2\: {\color{blue}\{#3\}}%
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| 106 | % }
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| 107 | % \newcommand{\assign}{\textit{assign}}
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| 108 | % \newcommand{\seq}{\textit{seq}}
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| 109 | % \newcommand{\conseq}{\textit{conseq}}
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| 110 | % \newcommand{\pwhile}{\textbf{while}}
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| 111 | % \newcommand{\pdo}{\textbf{do}}
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| 112 | % \newcommand{\rwhile}{\textit{while}}
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| 113 | % \newcommand{\pskip}{\textbf{skip}}
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| 114 | % \newcommand{\pif}{\textbf{if}}
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| 115 | % \newcommand{\pelse}{\textbf{else}}
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| 116 | % \newcommand{\pthen}{\textbf{then}}
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| 117 |
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| 118 | % \newcommand{\Ax}{\text{Ax}}
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| 119 | % \newcommand{\I}{\text{I}}
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| 120 | % \newcommand{\E}{\text{E}}
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| 121 | % \newcommand{\W}{\text{W}}
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| 122 | % \newcommand{\RAA}{\text{RAA}}
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| 123 |
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| 124 | % \newcommand{\B}{\mathbb{B}}
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| 125 |
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| 126 | % \newcommand{\opstyle}[1]{\textsf{\textcolor{blue}{#1}}}
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| 127 | % \newcommand{\TS}{\opstyle{TS}}
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| 128 | % \newcommand{\TT}{\opstyle{TT}}
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| 129 | % \newcommand{\LT}{\opstyle{LT}}
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| 130 | % \newcommand{\LL}{\opstyle{LL}}
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| 131 | % \newcommand{\TL}{\opstyle{TL}}
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| 132 | % \newcommand{\TE}{\opstyle{TE}}
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| 133 | % \newcommand{\ET}{\opstyle{ET}}
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| 134 |
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| 135 | % \newcommand{\Act}{\opstyle{Act}}
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| 136 | % \newcommand{\AP}{\opstyle{AP}}
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| 137 | % \newcommand{\ul}{\opstyle{ul}}
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| 138 | % \newcommand{\ur}{\opstyle{ur}}
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| 139 | % \newcommand{\dl}{\opstyle{dl}}
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| 140 | % \newcommand{\dr}{\opstyle{dr}}
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| 141 | % \newcommand{\defeq}{\stackrel{\text{def}}{=}}
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| 142 | % \newcommand{\Post}{\opstyle{Post}}
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| 143 | % \newcommand{\Pre}{\opstyle{Pre}}
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| 144 | % \newcommand{\Reach}{\opstyle{Reach}}
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| 145 | % \newcommand{\dom}{\opstyle{dom}}
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| 146 | % %\newcommand{\true}{\textit{true}}
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| 147 | % %\newcommand{\false}{\textit{false}}
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| 148 | % \newcommand{\Eval}{\opstyle{Eval}}
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| 149 | % \newcommand{\Cond}{\opstyle{Cond}}
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| 150 | % \newcommand{\Loc}{\opstyle{Loc}}
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| 151 | % \newcommand{\Effect}{\opstyle{Effect}}
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| 152 | % \newcommand*{\hra}{\ensuremath{\lhook\joinrel\relbar\joinrel\rightarrow}}
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| 153 | % % use \xhookrightarrow{g:\alpha} instead
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| 154 | % \newcommand{\xra}[1]{\xrightarrow{#1}}
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| 155 | % \newcommand{\xhra}[1]{\xhookrightarrow{#1}}
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| 156 |
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| 157 | % \newcommand{\PG}{\opstyle{PG}}
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| 158 | % \newcommand{\Var}{\opstyle{Var}}
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| 159 | % \newcommand{\tpc}{\;|||\;}
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| 160 | % \newcommand{\dpc}{\;||\;}
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| 161 | % \newcommand{\hand}[1]{\;||_{#1}\;}
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| 162 |
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| 163 | % \newcommand{\Val}{\opstyle{Val}}
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| 164 |
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| 165 | % \newcommand{\Chan}{\opstyle{Chan}}
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| 166 | % \newcommand{\capacity}{\opstyle{cap}}
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| 167 | % \newcommand{\Comm}{\opstyle{Comm}}
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| 168 | % \newcommand{\CS}{\opstyle{CS}}
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| 169 |
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| 170 | % \newcommand{\len}{\opstyle{len}}
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| 171 |
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| 172 | % \newcommand{\trace}{\opstyle{trace}}
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| 173 | % \newcommand{\Traces}{\opstyle{Traces}}
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| 174 | % \newcommand{\exinf}{\stackrel{\scriptstyle\infty}{\exists}}
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| 175 | % \newcommand{\Set}{\opstyle{Set}}
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| 176 | % \newcommand{\Stack}{\opstyle{Stack}}
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| 177 | % %\newcommand{\bool}{\opstyle{boolean}}
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| 178 | % \newcommand{\State}{\opstyle{State}}
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| 179 |
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| 180 | % \newcommand{\BadPref}{\opstyle{BadPref}}
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| 181 | % \newcommand{\MinBadPref}{\opstyle{MinBadPref}}
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| 182 |
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| 183 | \newenvironment{mybox}[1]{%
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| 184 | \begin{footnotesize}%
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| 185 | \color{red}%
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| 186 | \begin{tabular}{@{}|c|@{}}%
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| 187 | \hline\\[-2.5mm]%
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| 188 | \begin{minipage}{#1}%
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| 189 | \color{black}%
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| 190 | }{%
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| 191 | \end{minipage}%
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| 192 | \\[-2.5mm] \\ \hline%
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| 193 | \end{tabular}%
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| 194 | \end{footnotesize}%
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| 195 | }
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| 196 |
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| 197 | \newenvironment{mycbox}[1]{%
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| 198 | \begin{center}%
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| 199 | \begin{mybox}{#1}%
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| 200 | }{%
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| 201 | \end{mybox}%
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| 202 | \end{center}%
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| 203 | }
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| 204 |
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| 205 | % % CIVL-C keywords
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| 206 |
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| 207 | % \newcommand{\cckey}{\$}
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| 208 | % \newcommand{\cc}[1]{\mbox{\textcolor{blue}{\texttt{\cckey{}#1}}}}
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| 209 | % \newcommand{\cproc}{\cc{proc}}
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| 210 | % \newcommand{\cself}{\cc{self}}
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| 211 | % \newcommand{\cinput}{\cc{input}}
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| 212 | % \newcommand{\coutput}{\cc{output}}
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| 213 | % \newcommand{\cspawn}{\cc{spawn}}
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| 214 | % \newcommand{\cwait}{\cc{wait}}
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| 215 | % \newcommand{\cassert}{\cc{assert}}
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| 216 | % \newcommand{\ctrue}{\cc{true}}
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| 217 | % \newcommand{\cfalse}{\cc{false}}
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| 218 | % \newcommand{\cassume}{\cc{assume}}
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| 219 | % \newcommand{\cwhen}{\cc{when}}
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| 220 | % \newcommand{\cchoose}{\cc{choose}}
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| 221 | % \newcommand{\cchooseint}{\cc{choose{\U}int}}
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| 222 | % \newcommand{\cinvariant}{\cc{invariant}}
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| 223 | % \newcommand{\crequires}{\cc{requires}}
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| 224 | % \newcommand{\censures}{\cc{ensures}}
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| 225 | % \newcommand{\cresult}{\cc{result}}
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| 226 | % \newcommand{\cat}{\texttt{@}}
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| 227 | % \newcommand{\ccollective}{\cc{collective}}
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| 228 |
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| 229 | % \newcommand{\cheap}{\cc{heap}}
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| 230 | % \newcommand{\cscope}{\cc{scope}}
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| 231 | % \newcommand{\cregion}{\cc{region}}
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| 232 | % \newcommand{\cmalloc}{\cc{malloc}}
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| 233 |
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| 234 |
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| 235 |
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| 236 |
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| 237 | %%% new
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| 238 |
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| 239 |
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| 240 | % Type/font styles...
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| 241 | \newcommand{\upsty}[1]{\textup{\textsf{#1}}}
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| 242 | \newcommand{\setsty}[1]{\textup{\textsf{\textcolor{blue}{#1}}}}
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| 243 | %\newcommand{\code}[1]{\texttt{\textcolor{blue}{#1}}}
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| 244 | \newcommand{\ct}[1]{\texttt{#1}}
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| 245 |
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| 246 | % Theorem environments...
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| 247 | %\newtheorem{theorem}{Theorem}
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| 248 | %\theoremstyle{definition}
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| 249 | %\newtheorem{definition}{Definition}[subsection]
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| 250 |
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| 251 | % Symbols...
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| 252 | \renewcommand{\implies}{\Rightarrow}
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| 253 | \newcommand{\ra}{\rightarrow}
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| 254 | \newcommand{\B}{\mathbb{B}}
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| 255 | \newcommand{\N}{\mathbb{N}}
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| 256 | \newcommand{\lb}{\texttt{\char`\{}}
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| 257 | \newcommand{\rb}{\texttt{\char`\}}}
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| 258 | \newcommand{\U}{\texttt{\char`\_}}
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| 259 | %\newcommand{\U}{{\ttfamily\symbol{'137}}}
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| 260 | \newcommand{\UU}{\U\U}
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| 261 |
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| 262 | % Static notions...
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| 263 | \newcommand{\rootscope}{\setsty{root}} % root static scope
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| 264 | \newcommand{\start}{\setsty{start}} % start location $l_0$
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| 265 | \newcommand{\Var}{\setsty{Var}} % set of all variables
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| 266 | \newcommand{\bool}{\setsty{bool}} % boolean type
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| 267 | \newcommand{\proc}{\setsty{proc}} % process reference type
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| 268 | \newcommand{\Val}{\setsty{Val}} % set of all values
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| 269 | \newcommand{\vtype}{\setsty{vtype}} % type of variable
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| 270 | \newcommand{\etype}{\setsty{etype}} % type of expression
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| 271 | \newcommand{\Type}{\setsty{Type}} % set of all types
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| 272 | \newcommand{\Expr}{\setsty{Expr}} % set of all expressions
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| 273 | \newcommand{\Eval}{\setsty{Eval}} % set of all valuations on variables
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| 274 | \newcommand{\eval}{\setsty{eval}} % evaluation of an expression
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| 275 | \newcommand{\sparent}{\setsty{sparent}} % parent of a static scope
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| 276 | \newcommand{\dparent}{\setsty{dparent}} % parent of a dynamic scope
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| 277 | \newcommand{\fscope}{\setsty{fscope}} % scope of a function
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| 278 | \newcommand{\lscope}{\setsty{lscope}} % scope of a location
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| 279 | \newcommand{\static}{\setsty{static}} % static scope associated to a dynamic one
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| 280 | \newcommand{\stack}{\setsty{stack}} % call stack
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| 281 | \newcommand{\vars}{\setsty{vars}} % variables declared in a scope
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| 282 | \newcommand{\ancestors}{\setsty{ancestors}} % as in tree
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| 283 | \newcommand{\descendants}{\setsty{descendants}} % as in tree
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| 284 | \newcommand{\returntype}{\setsty{returnType}} % function's return type
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| 285 | \newcommand{\numparams}{\setsty{numParams}} % number of params for a func.
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| 286 | \newcommand{\params}{\setsty{params}} % sequence of formal parameters
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| 287 | \newcommand{\void}{\setsty{void}} % type for func. returning nothing
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| 288 | \newcommand{\Loc}{\setsty{Loc}} % locations in function's trans. sys.
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| 289 | \newcommand{\Func}{\mathcal{F}} % set of function symbols
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| 290 | \newcommand{\true}{\textit{true}} % boolean value true
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| 291 | \newcommand{\false}{\textit{false}} % boolean value false
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| 292 | \newcommand{\default}{\setsty{default}} % default value of type
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| 293 | \newcommand{\len}{\setsty{length}} % length of sequence
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| 294 | \newcommand{\func}{\setsty{func}} % function a static scope belongs to
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| 295 |
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| 296 | % Dynamic notions...
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| 297 | \newcommand{\fnode}{\setsty{fnode}} % function node of dyscope
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| 298 | \newcommand{\State}{\setsty{State}} % set of all states of model
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| 299 | \newcommand{\deval}{\setsty{deval}} % valuation on dyscope
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| 300 | \newcommand{\droot}{\setsty{droot}} % root dyscope
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| 301 | \newcommand{\Frame}{\setsty{Frame}} % set of activation frames
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| 302 |
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| 303 |
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| 304 | % CIVL-C keywords
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| 305 |
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| 306 | \newcommand{\cckey}{\$}
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| 307 | \newcommand{\cc}[1]{\mbox{\textcolor{blue}{\texttt{\cckey{}#1}}}}
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| 308 | \newcommand{\cproc}{\cc{proc}}
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| 309 | \newcommand{\cself}{\cc{self}}
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| 310 | \newcommand{\cinput}{\cc{input}}
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| 311 | \newcommand{\coutput}{\cc{output}}
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| 312 | \newcommand{\cspawn}{\cc{spawn}}
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| 313 | \newcommand{\cwait}{\cc{wait}}
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| 314 | \newcommand{\cassert}{\cc{assert}}
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| 315 | \newcommand{\ctrue}{\cc{true}}
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| 316 | \newcommand{\cfalse}{\cc{false}}
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| 317 | \newcommand{\cassume}{\cc{assume}}
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| 318 | \newcommand{\catom}{\cc{atom}}
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| 319 | \newcommand{\catomic}{\cc{atomic}}
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| 320 | \newcommand{\cwhen}{\cc{when}}
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| 321 | \newcommand{\cchoose}{\cc{choose}}
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| 322 | \newcommand{\cchooseint}{\cc{choose{\U}int}}
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| 323 | \newcommand{\cinvariant}{\cc{invariant}}
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| 324 | \newcommand{\crequires}{\cc{requires}}
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| 325 | \newcommand{\censures}{\cc{ensures}}
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| 326 | \newcommand{\cexit}{\cc{exit}}
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| 327 | \newcommand{\cresult}{\cc{result}}
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| 328 | \newcommand{\cat}{\texttt{@}}
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| 329 | \newcommand{\ccollective}{\cc{collective}}
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| 330 |
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| 331 | %\newcommand{\cheap}{\cc{heap}}
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| 332 | \newcommand{\cscope}{\cc{scope}}
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| 333 | \newcommand{\cscopeof}{\cc{scopeof}}
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| 334 | \newcommand{\cscopeparent}{\cc{scope{\U}parent}}
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| 335 | \newcommand{\cscoperoot}{\cc{root}}
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| 336 | \newcommand{\chere}{\cc{here}}
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| 337 | \newcommand{\cregion}{\cc{region}}
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| 338 | \newcommand{\cmalloc}{\cc{malloc}}
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| 339 | \newcommand{\cfree}{\cc{free}}
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| 340 |
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| 341 | \newcommand{\cbundle}{\cc{bundle}}
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| 342 | \newcommand{\cmessage}{\cc{message}}
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| 343 | \newcommand{\ccomm}{\cc{comm}}
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| 344 | \newcommand{\cgcomm}{\cc{gcomm}}
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| 345 |
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| 346 | \newcommand{\cforall}{\cc{forall}}
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| 347 | \newcommand{\cexists}{\cc{exists}}
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| 348 | \newcommand{\cimplies}{\ct{=>}}
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