source: CIVL/doc/manual/preambular.tex@ 2b5dc93

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% Static notions...
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% Tables...
\newcommand{\notationtable}{%
  \begin{tabular}{lll}
    Symbol & Section & Meaning\\ \hline
    $\B$ & \S\ref{sec:notation} & \{\true,\false\}\\
    $\N$ & \S\ref{sec:notation} & \{0,1,2,\ldots\}\\
    $\ancestors$ & \S\ref{sec:notation} & set of ancestors of node in a tree (inclusive)\\
    $\descendants$ & \S\ref{sec:notation} & set of descendants of node
    in a tree (inclusive)\\
    $\len$ & \S\ref{sec:notation} & length of a sequence\\
    $\Var$ & \S\ref{sec:context} & the set of all variables\\
    $\bool$ & \S\ref{sec:context} & the boolean type\\
    $\proc$ & \S\ref{sec:context} & the process reference type\\
    $\Val$ & \S\ref{sec:context} & the set of all values\\
    $\Val_t$ & \S\ref{sec:context} & values of type $t$\\
    $\default_t$ & \S\ref{sec:context} & default value of type $t$\\
    $\vtype$ & \S\ref{sec:context} & function $\Var\ra\Type$ giving type of each variable\\
    $\Eval$ & \S\ref{sec:context} & set of all valuations on $\Var$\\
    $\Eval(V)$ & \S\ref{sec:state} & set of all valuations on variables in $V\subseteq\Var$\\
    $\Expr$ & \S\ref{sec:context} & set of typed expressions over $\Var$\\
    $\etype$ & \S\ref{sec:context} & $\Expr\ra\Type$, gives type of each expression\\
    $\eval$ & \S\ref{sec:context} & $\Expr\times\Eval\ra\Val$, the evaluation function\\
    $\mathcal{C}$ & \S\ref{sec:context} & a CIVL context\\
    $\Sigma$ & \S\ref{sec:scopes} & set of all static scopes\\
    $\rootscope$ & \S\ref{sec:scopes} & the root scope (member of $\Sigma$)\\
    $\sparent$ & \S\ref{sec:scopes} & $\Sigma\setminus\{\rootscope\}\ra\Sigma$, parent function in static scope tree\\
    $\vars$ & \S\ref{sec:scopes} & $\Sigma\ra 2^{\Var}$, specifies variables declared in scope\\
    $\Lambda$ & \S\ref{sec:scopes} & a lexical scope system\\
    $\void$ & \S\ref{sec:functions} & type used for function that does not return  a value\\
    $\Type'$ & \S\ref{sec:functions} & $\Type\cup\{\void\}$\\
    $\Func$ & \S\ref{sec:functions} & set of function symbols\\
    $\fscope$ & \S\ref{sec:functions} & $\Func\ra\Sigma\setminus\{\rootscope\}$, gives function scope of each function\\
    $\returntype$ & \S\ref{sec:functions} & $\Func\ra\Type'$, gives return type of each function\\
%    $\numparams$ & \S\ref{sec:functions} & $\Func\ra\N$, gives number of inputs for each function\\
    $\params$ & \S\ref{sec:functions} & $\Func\ra\Var^*$, formal
    parameter sequence for $f\in\Func$\\
    $f_0$ & \S\ref{sec:functions} & the root function (member of
    $\mathcal{F}$)\\
    $\func$ & \S\ref{sec:functions} & $\Sigma\ra\Func$, function to
    which scope belongs\\
    $\Loc_f$ & \S\ref{sec:gts} & set of locations for $f\in\Func$\\
    $\lscope_f$ & \S\ref{sec:gts} & $\Loc_f\ra\Sigma$, gives scope of each location for $f\in\Func$\\
    $\start_f$ & \S\ref{sec:gts} & start location for $f\in\Func$ (member of $\Loc_f$)\\
    $T_f$ & \S\ref{sec:gts} & set of guarded transitions for $f\in\Func$\\
  \end{tabular}
}


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