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\( % 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 % \)

Unstable-Languages-beta : LD-Disambiguation.cbs | PLAIN | PDF

OUTLINE
\[\KEY{Language} \quad \STRING{LD}\]

\(\SECT{A}\) Disambiguation

\(\SECT{A.1}\) Lexical constructs

\(\KEY{Lexis SDF}\)

lexical syntax
\(\SHADE{\SYNHYPER{../.}{LD-Start}{id}}\) = \(\SHADE{\SYNHYPER{../.}{LD-Start}{keyword}}\) {reject}

lexical restrictions
\(\SHADE{\SYNHYPER{../.}{LD-Start}{id}}\) -/- [a-z0-9]
\(\SHADE{\SYNHYPER{../.}{LD-Start}{int}}\) -/- [0-9]

\(\KEY{Syntax SDF}\)

context-free syntax
\(\SHADE{\quad\SYNHYPER{../.}{LD-Start}{start} \ ::= \ \ \SYNHYPER{../.}{LD-Start}{exp}}\) {prefer}

\(\SECT{A.2}\) Call-by-value lambda-calculus

\(\KEY{Syntax SDF}\)

context-free syntax
\(\SHADE{\quad\SYNHYPER{../.}{LD-Start}{exp} \ ::= \ \ \LEX{lambda} \ \SYNHYPER{../.}{LD-Start}{id} \ \LEX{{.}} \ \SYNHYPER{../.}{LD-Start}{exp}}\) {longest-match}
\(\SHADE{\quad\SYNHYPER{../.}{LD-Start}{exp} \ ::= \ \ \SYNHYPER{../.}{LD-Start}{exp} \ \SYNHYPER{../.}{LD-Start}{exp}}\) {left}
\(\SHADE{\quad\SYNHYPER{../.}{LD-Start}{exp} \ ::= \ \ \LEX{let} \ \SYNHYPER{../.}{LD-Start}{id} \ \LEX{{=}} \ \SYNHYPER{../.}{LD-Start}{exp} \ \LEX{in} \ \SYNHYPER{../.}{LD-Start}{exp}}\) {longest-match}

context-free priorities
\(\SHADE{\quad\SYNHYPER{../.}{LD-Start}{exp} \ ::= \ \ \SYNHYPER{../.}{LD-Start}{exp} \ \SYNHYPER{../.}{LD-Start}{exp}}\)
> {
\(\SHADE{\quad\SYNHYPER{../.}{LD-Start}{exp} \ ::= \ \ \LEX{lambda} \ \SYNHYPER{../.}{LD-Start}{id} \ \LEX{{.}} \ \SYNHYPER{../.}{LD-Start}{exp}}\)
\(\SHADE{\quad\SYNHYPER{../.}{LD-Start}{exp} \ ::= \ \ \LEX{let} \ \SYNHYPER{../.}{LD-Start}{id} \ \LEX{{=}} \ \SYNHYPER{../.}{LD-Start}{exp} \ \LEX{in} \ \SYNHYPER{../.}{LD-Start}{exp}}\)
}

\(\SECT{A.3}\) Arithmetic and Boolean expressions

\(\KEY{Syntax SDF}\)

context-free syntax
\(\SHADE{\quad\SYNHYPER{../.}{LD-Start}{exp} \ ::= \ \ \SYNHYPER{../.}{LD-Start}{exp} \ \LEX{{+}} \ \SYNHYPER{../.}{LD-Start}{exp}}\) {left}
\(\SHADE{\quad\SYNHYPER{../.}{LD-Start}{exp} \ ::= \ \ \SYNHYPER{../.}{LD-Start}{exp} \ \LEX{{*}} \ \SYNHYPER{../.}{LD-Start}{exp}}\) {left}
\(\SHADE{\quad\SYNHYPER{../.}{LD-Start}{exp} \ ::= \ \ \SYNHYPER{../.}{LD-Start}{exp} \ \LEX{{/}} \ \SYNHYPER{../.}{LD-Start}{exp}}\) {left}
\(\SHADE{\quad\SYNHYPER{../.}{LD-Start}{exp} \ ::= \ \ \SYNHYPER{../.}{LD-Start}{exp} \ \LEX{{<}{=}} \ \SYNHYPER{../.}{LD-Start}{exp}}\) {non-assoc}
\(\SHADE{\quad\SYNHYPER{../.}{LD-Start}{exp} \ ::= \ \ \SYNHYPER{../.}{LD-Start}{exp} \ \LEX{{\AMPERSAND}{\AMPERSAND}} \ \SYNHYPER{../.}{LD-Start}{exp}}\) {right}
\(\SHADE{\quad\SYNHYPER{../.}{LD-Start}{exp} \ ::= \ \ \LEX{if} \ \SYNHYPER{../.}{LD-Start}{exp} \ \LEX{then} \ \SYNHYPER{../.}{LD-Start}{exp} \ \LEX{else} \ \SYNHYPER{../.}{LD-Start}{exp}}\) {longest-match}

context-free priorities
\(\SHADE{\quad\SYNHYPER{../.}{LD-Start}{exp} \ ::= \ \ \SYNHYPER{../.}{LD-Start}{exp} \ \SYNHYPER{../.}{LD-Start}{exp}}\)
>
{left:
\(\SHADE{\quad\SYNHYPER{../.}{LD-Start}{exp} \ ::= \ \ \SYNHYPER{../.}{LD-Start}{exp} \ \LEX{{*}} \ \SYNHYPER{../.}{LD-Start}{exp}}\)
\(\SHADE{\quad\SYNHYPER{../.}{LD-Start}{exp} \ ::= \ \ \SYNHYPER{../.}{LD-Start}{exp} \ \LEX{{/}} \ \SYNHYPER{../.}{LD-Start}{exp}}\)
} >
\(\SHADE{\quad\SYNHYPER{../.}{LD-Start}{exp} \ ::= \ \ \SYNHYPER{../.}{LD-Start}{exp} \ \LEX{{+}} \ \SYNHYPER{../.}{LD-Start}{exp}}\)
>
\(\SHADE{\quad\SYNHYPER{../.}{LD-Start}{exp} \ ::= \ \ \SYNHYPER{../.}{LD-Start}{exp} \ \LEX{{<}{=}} \ \SYNHYPER{../.}{LD-Start}{exp}}\)
>
\(\SHADE{\quad\SYNHYPER{../.}{LD-Start}{exp} \ ::= \ \ \SYNHYPER{../.}{LD-Start}{exp} \ \LEX{{\AMPERSAND}{\AMPERSAND}} \ \SYNHYPER{../.}{LD-Start}{exp}}\)
> {
\(\SHADE{\quad\SYNHYPER{../.}{LD-Start}{exp} \ ::= \ \ \LEX{lambda} \ \SYNHYPER{../.}{LD-Start}{id} \ \LEX{{.}} \ \SYNHYPER{../.}{LD-Start}{exp}}\)
\(\SHADE{\quad\SYNHYPER{../.}{LD-Start}{exp} \ ::= \ \ \LEX{let} \ \SYNHYPER{../.}{LD-Start}{id} \ \LEX{{=}} \ \SYNHYPER{../.}{LD-Start}{exp} \ \LEX{in} \ \SYNHYPER{../.}{LD-Start}{exp}}\)
}

\(\SECT{A.4}\) References and imperatives

\(\KEY{Syntax SDF}\)

context-free syntax
\(\SHADE{\quad\SYNHYPER{../.}{LD-Start}{exp} \ ::= \ \ \SYNHYPER{../.}{LD-Start}{exp} \ \LEX{{:}{=}} \ \SYNHYPER{../.}{LD-Start}{exp}}\) {non-assoc}
\(\SHADE{\quad\SYNHYPER{../.}{LD-Start}{exp} \ ::= \ \ \SYNHYPER{../.}{LD-Start}{exp} \ \LEX{{;}} \ \SYNHYPER{../.}{LD-Start}{exp}}\) {right}
\(\SHADE{\quad\SYNHYPER{../.}{LD-Start}{exp} \ ::= \ \ \LEX{while} \ \SYNHYPER{../.}{LD-Start}{exp} \ \LEX{do} \ \SYNHYPER{../.}{LD-Start}{exp}}\) {longest-match}

context-free priorities
{
\(\SHADE{\quad\SYNHYPER{../.}{LD-Start}{exp} \ ::= \ \ \LEX{ref} \ \SYNHYPER{../.}{LD-Start}{exp}}\)
\(\SHADE{\quad\SYNHYPER{../.}{LD-Start}{exp} \ ::= \ \ \LEX{{!}} \ \SYNHYPER{../.}{LD-Start}{exp}}\)
}>
\(\SHADE{\quad\SYNHYPER{../.}{LD-Start}{exp} \ ::= \ \ \SYNHYPER{../.}{LD-Start}{exp} \ \SYNHYPER{../.}{LD-Start}{exp}}\)

context-free priorities
\(\SHADE{\quad\SYNHYPER{../.}{LD-Start}{exp} \ ::= \ \ \SYNHYPER{../.}{LD-Start}{exp} \ \LEX{{\AMPERSAND}{\AMPERSAND}} \ \SYNHYPER{../.}{LD-Start}{exp}}\)
>
\(\SHADE{\quad\SYNHYPER{../.}{LD-Start}{exp} \ ::= \ \ \SYNHYPER{../.}{LD-Start}{exp} \ \LEX{{:}{=}} \ \SYNHYPER{../.}{LD-Start}{exp}}\)
> {
\(\SHADE{\quad\SYNHYPER{../.}{LD-Start}{exp} \ ::= \ \ \LEX{lambda} \ \SYNHYPER{../.}{LD-Start}{id} \ \LEX{{.}} \ \SYNHYPER{../.}{LD-Start}{exp}}\)
\(\SHADE{\quad\SYNHYPER{../.}{LD-Start}{exp} \ ::= \ \ \LEX{while} \ \SYNHYPER{../.}{LD-Start}{exp} \ \LEX{do} \ \SYNHYPER{../.}{LD-Start}{exp}}\)
} >
\(\SHADE{\quad\SYNHYPER{../.}{LD-Start}{exp} \ ::= \ \ \SYNHYPER{../.}{LD-Start}{exp} \ \LEX{{;}} \ \SYNHYPER{../.}{LD-Start}{exp}}\)
>
\(\SHADE{\quad\SYNHYPER{../.}{LD-Start}{exp} \ ::= \ \ \LEX{let} \ \SYNHYPER{../.}{LD-Start}{id} \ \LEX{{=}} \ \SYNHYPER{../.}{LD-Start}{exp} \ \LEX{in} \ \SYNHYPER{../.}{LD-Start}{exp}}\)

\(\SECT{A.5}\) Multithreading

\(\KEY{Syntax SDF}\)

context-free priorities
{
\(\SHADE{\quad\SYNHYPER{../.}{LD-Start}{exp} \ ::= \ \ \LEX{spawn} \ \SYNHYPER{../.}{LD-Start}{exp}}\)
\(\SHADE{\quad\SYNHYPER{../.}{LD-Start}{exp} \ ::= \ \ \LEX{join} \ \SYNHYPER{../.}{LD-Start}{exp}}\)
}
>
\(\SHADE{\quad\SYNHYPER{../.}{LD-Start}{exp} \ ::= \ \ \SYNHYPER{../.}{LD-Start}{exp} \ \LEX{{;}} \ \SYNHYPER{../.}{LD-Start}{exp}}\)

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