\(
% 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
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\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
%
\)
The SimpleLanguage, abbreviated “SL”, is a dynamic demonstration language.
It was built using Truffle for the GraalVM at Oracle Labs.
A specification of SL in DynSem has been given by Vlad Vergu.
Its CBS illustrates how dynamic bindings can be translated to funcons.
The start of the specification of SL in CBS is at SL.
This CBS specification of SL has been prototyped using a funcon interpreter
generated using the Haskell package Funcons Tools.
Colophon
Status:
abstract syntax: complete, derived from [SL in SD3]
dynamic semantics: complete except for ‘defineFunction’, ‘stackTrace’, ‘nanoTime’