\(
% cbs-katex.sty
%
\newcommand{\STYLE}[2]{\htmlClass{cbs-#1}{#2}}
\newcommand{\DECL}[3]{\htmlId{#1:#2}{#3}}
\newcommand{\REF}[3]{\href{###1:#2}{#3}}
\newcommand{\HYPER}[5]{\href{#1/#2/index.html###3:#4}{#5}}
% \SHADE{MATH} can be defined to produce a shaded background to highlight
% inline MATH in running text:
\newcommand{\SHADE}[1]{#1}
% \KEY{TEXT}, \STRING{TEXT}, \ATOM{TEXT}, \LEX{TEXT} can be used in math mode:
\newcommand{\KEY}[1]{\textsf{\textit{\STYLE{Key}{#1}}}}
\newcommand{\STRING}[1]{\textsf{``\texttt{#1}''}}
\newcommand{\ATOM}[1]{\textsf{`\texttt{#1}'}}
\newcommand{\LEX}[1]{\textsf{\STYLE{Key}{`}\texttt{#1}\STYLE{Key}{'}}}
% The following commands produce ASCII characters that are treated specially by LaTeX:
\newcommand{\HASH}{\char`\#}
\newcommand{\DOLLAR}{\char`\$}
\newcommand{\PERCENT}{\char`\%}
\newcommand{\AMPERSAND}{\char`\&}
\newcommand{\APOSTROPHE}{\char`\'}
\newcommand{\BACKSLASH}{\char`\\}
\newcommand{\CARET}{\char`\^}
\newcommand{\UNDERSCORE}{\char`\_}
\newcommand{\GRAVE}{\char`\`}
\newcommand{\LEFTBRACE}{\char`\{}
\newcommand{\RIGHTBRACE}{\char`\}}
\newcommand{\TILDE}{\textasciitilde} % {\char`\~}
% \NAME{name} highlights the name;
% \NAMEDECL{name} declares Name.name as the target of links to name;
% \NAMEREF{name} links name to the target Name.name in the current file;
% \NAMEHYPER{url}{file}{name} links name to Name.name at url/file/file.pdf.
% Similarly for \VAR{partvariable}, \SYN{syntaxname}, \SEM{semanticsName},
% and \SECT{sectionnumber}
% The kerns in \SUB and \VAR avoid overlaps with primes:
\newcommand{\SUB}[1]{_{\kern-2mu\STYLE{PartVariable}{\textsf{#1}}}}
% PLAIN
\newcommand{\VAR}[1]{\STYLE{PartVariable}{\textsf{\textit{#1}\kern2mu}}}
\newcommand{\NAME}[1]{\STYLE{Name}{\textsf{#1}}}
\newcommand{\SYN}[1]{\STYLE{SyntaxName}{\textsf{#1}}}
\newcommand{\SEM}[1]{\STYLE{SemanticsName}{\textsf{#1}}}
\newcommand{\SECT}[1]{\STYLE{SectionNumber}{\textsf{#1}}}
% DECL
\newcommand{\VARDECL}[1]{\DECL{PartVariable}{#1}{\VAR{#1}}}
\newcommand{\NAMEDECL}[1]{\DECL{Name}{#1}{\NAME{#1}}}
\newcommand{\SYNDECL}[1]{\DECL{SyntaxName}{#1}{\SYN{#1}}}
\newcommand{\SEMDECL}[1]{\DECL{SemanticsName}{#1}{\SEM{#1}}}
\newcommand{\SECTDECL}[1]{\DECL{SectionNumber}{#1}{\textsf{#1}}}
% REF
\newcommand{\VARREF}[1]{\REF{PartVariable}{#1}{\VAR{#1}}}
\newcommand{\NAMEREF}[1]{\REF{Name}{#1}{\NAME{#1}}}
\newcommand{\SYNREF}[1]{\REF{SyntaxName}{#1}{\SYN{#1}}}
\newcommand{\SEMREF}[1]{\REF{SemanticsName}{#1}{\SEM{#1}}}
\newcommand{\SECTREF}[1]{\REF{SectionNumber}{#1}{\SECT{#1}}}
% HYPER
\newcommand{\VARHYPER}[3]{\HYPER{#1}{#2}{PartVariable}{#3}{\VAR{#3}}}
\newcommand{\NAMEHYPER}[3]{\HYPER{#1}{#2}{Name}{#3}{\NAME{#3}}}
\newcommand{\SYNHYPER}[3]{\HYPER{#1}{#2}{SyntaxName}{#3}{\SYN{#3}}}
\newcommand{\SEMHYPER}[3]{\HYPER{#1}{#2}{SemanticsName}{#3}{\SEM{#3}}}
\newcommand{\SECTHYPER}[3]{\HYPER{#1}{#2}{SectionNumber}{#3}{\SECT{#3}}}
% \LEFTPHRASE MATH \RIGHTPHRASE produces [[ MATH ]] with proper brackets:
\newcommand{\LEFTPHRASE}{\llbracket}
\newcommand{\RIGHTPHRASE}{\rrbracket}
% \LEFTGROUP MATH \RIGHTGROUP produces ( MATH ) where the parentheses are
% highlighted the same as keywords:
\newcommand{\LEFTGROUP}{\STYLE{Key}{(}}
\newcommand{\RIGHTGROUP}{\STYLE{Key}{)}}
% MATH\PLUS produces a superscript +
% MATH\STAR produces a superscript *
% MATH\QUERY produces a superscript ?
\newcommand{\PLUS}{{}^{\texttt{+}}}
\newcommand{\STAR}{{}^{\texttt{*}}}
\newcommand{\QUERY}{{}^{\texttt{?}}}
% \RULE{& PREMISE \\ & ...}{& FORMULA ... \\ & ...} produces an inference rule
% with separately aligned premises and conclusion
% PREMISE
% ...
% -----------
% FORMULA ...
% ...
\newcommand{\RULE}[2]
{\frac{\begin{aligned}#1\end{aligned}}{\begin{aligned}#2\end{aligned}}}
% \AXIOM{& FORMULA ... \\ & ...} produces an aligned formula
%
% FORMULA ...
% ...
\newcommand{\AXIOM}[1]{\begin{aligned}#1\end{aligned}}
% \TO TYPE produces => TYPE
\newcommand{\TO}{\mathop{\Rightarrow}}
% TERM \TRANS TERM produces TERM ---> TERM
\newcommand{\TRANS}{\longrightarrow}
% TERM \xrightarrow{LABEL} TERM puts the label above the long arrow
%
\)
\(\SHADE{\NAMEREF{directed-graphs}
( \VAR{GT} )}\) models directed graphs with vertices of type \(\SHADE{\VAR{GT}}\),
represented as maps from vertices to the set of vertices to which the
vertex has an edge. E.g., the graph
(1)--->(2)
would be represented as \(\SHADE{\{ 1 \mapsto
\{ 2 \},
2 \mapsto
\{ \ \} \}}\)
\(\SHADE{\NAMEREF{topological-sort}
( \VAR{DG} )}\) returns a topological ordering of the vertices
of the graph \(\SHADE{\VAR{DG}}\), as a sequence of vertices, provided that \(\SHADE{\VAR{DG}}\) is not
cyclic.