\(
% 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
%
\)
Computations
The CBS library provides funcons for expressing and composing various kinds of
computations.
A funcon takes a sequence of values and/or computations as arguments, and may compute a sequence of values.
A value argument is the result of a previous computation, and can be inspected; a computation argument, in contrast, can only be executed or ignored.
A computation may terminate normally or abnormally, or never terminate.
Values (and sequences of values) correspond to immediately terminating computations.
Funcons for expressing normal computations compute (sequences of) values on normal termination.
They propagate abnormal termination of their arguments.