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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 : SIMPLE-THR-2-Expressions.cbs | PLAIN | PDF

\[\KEY{Language} \quad \STRING{SIMPLE-THR}\]

\(\SECT{2}\) Expressions

\[\begin{align*} \KEY{Syntax} \quad \VARDECL{Exp} : \SYNDECL{exp} \ ::= \ & \ \LEX{{(}} \ \SYNREF{exp} \ \LEX{{)}} \\ \ \mid \ & \ \SYNHYPER{../.}{SIMPLE-THR-1-Lexical}{value} \\ \ \mid \ & \ \SYNREF{lexp} \\ \ \mid \ & \ \SYNREF{lexp} \ \LEX{{=}} \ \SYNREF{exp} \\ \ \mid \ & \ \LEX{{+}{+}} \ \SYNREF{lexp} \\ \ \mid \ & \ \LEX{{-}} \ \SYNREF{exp} \\ \ \mid \ & \ \SYNREF{exp} \ \LEX{{(}} \ \SYNREF{exps}\QUERY \ \LEX{{)}} \\ \ \mid \ & \ \LEX{sizeOf} \ \LEX{{(}} \ \SYNREF{exp} \ \LEX{{)}} \\ \ \mid \ & \ \LEX{read} \ \LEX{{(}} \ \LEX{{)}} \\ \ \mid \ & \ \SYNREF{exp} \ \LEX{{+}} \ \SYNREF{exp} \\ \ \mid \ & \ \SYNREF{exp} \ \LEX{{-}} \ \SYNREF{exp} \\ \ \mid \ & \ \SYNREF{exp} \ \LEX{{*}} \ \SYNREF{exp} \\ \ \mid \ & \ \SYNREF{exp} \ \LEX{{/}} \ \SYNREF{exp} \\ \ \mid \ & \ \SYNREF{exp} \ \LEX{{\PERCENT}} \ \SYNREF{exp} \\ \ \mid \ & \ \SYNREF{exp} \ \LEX{{<}} \ \SYNREF{exp} \\ \ \mid \ & \ \SYNREF{exp} \ \LEX{{<}{=}} \ \SYNREF{exp} \\ \ \mid \ & \ \SYNREF{exp} \ \LEX{{>}} \ \SYNREF{exp} \\ \ \mid \ & \ \SYNREF{exp} \ \LEX{{>}{=}} \ \SYNREF{exp} \\ \ \mid \ & \ \SYNREF{exp} \ \LEX{{=}{=}} \ \SYNREF{exp} \\ \ \mid \ & \ \SYNREF{exp} \ \LEX{{!}{=}} \ \SYNREF{exp} \\ \ \mid \ & \ \LEX{{!}} \ \SYNREF{exp} \\ \ \mid \ & \ \SYNREF{exp} \ \LEX{{\AMPERSAND}{\AMPERSAND}} \ \SYNREF{exp} \\ \ \mid \ & \ \SYNREF{exp} \ \LEX{{|}{|}} \ \SYNREF{exp} \\ \ \mid \ & \ \LEX{spawn} \ \SYNHYPER{../.}{SIMPLE-THR-3-Statements}{block} \end{align*}\] \[\begin{align*} \KEY{Rule} \quad & \LEFTPHRASE \ \LEX{{(}} \ \VARREF{Exp} \ \LEX{{)}} \ \RIGHTPHRASE : \SYNREF{exp} = \LEFTPHRASE \ \VAR{Exp} \ \RIGHTPHRASE \end{align*}\] \[\begin{align*} \KEY{Semantics} \quad & \SEMDECL{rval} \LEFTPHRASE \ \_ : \SYNREF{exp} \ \RIGHTPHRASE : \TO \NAMEHYPER{../../../../../Funcons-beta/Values}{Value-Types}{values} \\ \KEY{Rule} \quad & \SEMREF{rval} \LEFTPHRASE \ \VARHYPER{../.}{SIMPLE-THR-1-Lexical}{V} \ \RIGHTPHRASE = \SEMHYPER{../.}{SIMPLE-THR-1-Lexical}{val} \LEFTPHRASE \ \VAR{V} \ \RIGHTPHRASE \\ \KEY{Rule} \quad & \SEMREF{rval} \LEFTPHRASE \ \VARREF{LExp} \ \RIGHTPHRASE = \NAMEHYPER{../../../../../Funcons-beta/Computations/Normal}{Storing}{assigned} ( \SEMREF{lval} \LEFTPHRASE \ \VAR{LExp} \ \RIGHTPHRASE ) \\ \KEY{Rule} \quad & \SEMREF{rval} \LEFTPHRASE \ \VARREF{LExp} \ \LEX{{=}} \ \VARREF{Exp} \ \RIGHTPHRASE = \\&\quad \NAMEHYPER{../../../../../Funcons-beta/Computations/Normal}{Giving}{give} ( \\&\quad\quad \SEMREF{rval} \LEFTPHRASE \ \VAR{Exp} \ \RIGHTPHRASE , \\&\quad\quad \NAMEHYPER{../../../../../Funcons-beta/Computations/Normal}{Flowing}{sequential} ( \\&\quad\quad\quad \NAMEHYPER{../../../../../Funcons-beta/Computations/Normal}{Storing}{assign} ( \SEMREF{lval} \LEFTPHRASE \ \VAR{LExp} \ \RIGHTPHRASE , \NAMEHYPER{../../../../../Funcons-beta/Computations/Normal}{Giving}{given} ), \\&\quad\quad\quad \NAMEHYPER{../../../../../Funcons-beta/Computations/Normal}{Giving}{given} ) ) \\ \KEY{Rule} \quad & \SEMREF{rval} \LEFTPHRASE \ \LEX{{+}{+}} \ \VARREF{LExp} \ \RIGHTPHRASE = \\&\quad \NAMEHYPER{../../../../../Funcons-beta/Computations/Normal}{Giving}{give} ( \\&\quad\quad \SEMREF{lval} \LEFTPHRASE \ \VAR{LExp} \ \RIGHTPHRASE , \\&\quad\quad \NAMEHYPER{../../../../../Funcons-beta/Computations/Normal}{Flowing}{sequential} ( \\&\quad\quad\quad \NAMEHYPER{../../../../../Funcons-beta/Computations/Normal}{Storing}{assign} ( \NAMEHYPER{../../../../../Funcons-beta/Computations/Normal}{Giving}{given}, \NAMEHYPER{../../../../../Funcons-beta/Values/Primitive}{Integers}{integer-add} ( \NAMEHYPER{../../../../../Funcons-beta/Computations/Normal}{Storing}{assigned} ( \NAMEHYPER{../../../../../Funcons-beta/Computations/Normal}{Giving}{given} ), 1 ) ), \\&\quad\quad\quad \NAMEHYPER{../../../../../Funcons-beta/Computations/Normal}{Storing}{assigned} ( \NAMEHYPER{../../../../../Funcons-beta/Computations/Normal}{Giving}{given} ) ) ) \\ \KEY{Rule} \quad & \SEMREF{rval} \LEFTPHRASE \ \LEX{{-}} \ \VARREF{Exp} \ \RIGHTPHRASE = \NAMEHYPER{../../../../../Funcons-beta/Values/Primitive}{Integers}{integer-negate} ( \SEMREF{rval} \LEFTPHRASE \ \VAR{Exp} \ \RIGHTPHRASE ) \\ \KEY{Rule} \quad & \SEMREF{rval} \LEFTPHRASE \ \VARREF{Exp} \ \LEX{{(}} \ \VARREF{Exps}\QUERY \ \LEX{{)}} \ \RIGHTPHRASE = \NAMEHYPER{../../../../../Funcons-beta/Values/Abstraction}{Functions}{apply} ( \SEMREF{rval} \LEFTPHRASE \ \VAR{Exp} \ \RIGHTPHRASE , \NAMEHYPER{../../../../../Funcons-beta/Values/Composite}{Tuples}{tuple} ( \SEMREF{rvals} \LEFTPHRASE \ \VAR{Exps}\QUERY \ \RIGHTPHRASE ) ) \\ \KEY{Rule} \quad & \SEMREF{rval} \LEFTPHRASE \ \LEX{sizeOf} \ \LEX{{(}} \ \VARREF{Exp} \ \LEX{{)}} \ \RIGHTPHRASE = \NAMEHYPER{../../../../../Funcons-beta/Values/Composite}{Sequences}{length} ( \NAMEHYPER{../../../../../Funcons-beta/Values/Composite}{Vectors}{vector-elements} ( \SEMREF{rval} \LEFTPHRASE \ \VAR{Exp} \ \RIGHTPHRASE ) ) \\ \KEY{Rule} \quad & \SEMREF{rval} \LEFTPHRASE \ \LEX{read} \ \LEX{{(}} \ \LEX{{)}} \ \RIGHTPHRASE = \NAMEHYPER{../../../../../Funcons-beta/Computations/Normal}{Interacting}{read} \\ \KEY{Rule} \quad & \SEMREF{rval} \LEFTPHRASE \ \VARREF{Exp}\SUB{1} \ \LEX{{+}} \ \VARREF{Exp}\SUB{2} \ \RIGHTPHRASE = \NAMEHYPER{../../../../../Funcons-beta/Values/Primitive}{Integers}{integer-add} ( \SEMREF{rval} \LEFTPHRASE \ \VAR{Exp}\SUB{1} \ \RIGHTPHRASE , \SEMREF{rval} \LEFTPHRASE \ \VAR{Exp}\SUB{2} \ \RIGHTPHRASE ) \\ \KEY{Rule} \quad & \SEMREF{rval} \LEFTPHRASE \ \VARREF{Exp}\SUB{1} \ \LEX{{-}} \ \VARREF{Exp}\SUB{2} \ \RIGHTPHRASE = \NAMEHYPER{../../../../../Funcons-beta/Values/Primitive}{Integers}{integer-subtract} ( \SEMREF{rval} \LEFTPHRASE \ \VAR{Exp}\SUB{1} \ \RIGHTPHRASE , \SEMREF{rval} \LEFTPHRASE \ \VAR{Exp}\SUB{2} \ \RIGHTPHRASE ) \\ \KEY{Rule} \quad & \SEMREF{rval} \LEFTPHRASE \ \VARREF{Exp}\SUB{1} \ \LEX{{*}} \ \VARREF{Exp}\SUB{2} \ \RIGHTPHRASE = \NAMEHYPER{../../../../../Funcons-beta/Values/Primitive}{Integers}{integer-multiply} ( \SEMREF{rval} \LEFTPHRASE \ \VAR{Exp}\SUB{1} \ \RIGHTPHRASE , \SEMREF{rval} \LEFTPHRASE \ \VAR{Exp}\SUB{2} \ \RIGHTPHRASE ) \\ \KEY{Rule} \quad & \SEMREF{rval} \LEFTPHRASE \ \VARREF{Exp}\SUB{1} \ \LEX{{/}} \ \VARREF{Exp}\SUB{2} \ \RIGHTPHRASE = \NAMEHYPER{../../../../../Funcons-beta/Computations/Abnormal}{Failing}{checked} \ \NAMEHYPER{../../../../../Funcons-beta/Values/Primitive}{Integers}{integer-divide} ( \SEMREF{rval} \LEFTPHRASE \ \VAR{Exp}\SUB{1} \ \RIGHTPHRASE , \SEMREF{rval} \LEFTPHRASE \ \VAR{Exp}\SUB{2} \ \RIGHTPHRASE ) \\ \KEY{Rule} \quad & \SEMREF{rval} \LEFTPHRASE \ \VARREF{Exp}\SUB{1} \ \LEX{{\PERCENT}} \ \VARREF{Exp}\SUB{2} \ \RIGHTPHRASE = \NAMEHYPER{../../../../../Funcons-beta/Computations/Abnormal}{Failing}{checked} \ \NAMEHYPER{../../../../../Funcons-beta/Values/Primitive}{Integers}{integer-modulo} ( \SEMREF{rval} \LEFTPHRASE \ \VAR{Exp}\SUB{1} \ \RIGHTPHRASE , \SEMREF{rval} \LEFTPHRASE \ \VAR{Exp}\SUB{2} \ \RIGHTPHRASE ) \\ \KEY{Rule} \quad & \SEMREF{rval} \LEFTPHRASE \ \VARREF{Exp}\SUB{1} \ \LEX{{<}} \ \VARREF{Exp}\SUB{2} \ \RIGHTPHRASE = \NAMEHYPER{../../../../../Funcons-beta/Values/Primitive}{Integers}{is-less} ( \SEMREF{rval} \LEFTPHRASE \ \VAR{Exp}\SUB{1} \ \RIGHTPHRASE , \SEMREF{rval} \LEFTPHRASE \ \VAR{Exp}\SUB{2} \ \RIGHTPHRASE ) \\ \KEY{Rule} \quad & \SEMREF{rval} \LEFTPHRASE \ \VARREF{Exp}\SUB{1} \ \LEX{{<}{=}} \ \VARREF{Exp}\SUB{2} \ \RIGHTPHRASE = \NAMEHYPER{../../../../../Funcons-beta/Values/Primitive}{Integers}{is-less-or-equal} ( \SEMREF{rval} \LEFTPHRASE \ \VAR{Exp}\SUB{1} \ \RIGHTPHRASE , \SEMREF{rval} \LEFTPHRASE \ \VAR{Exp}\SUB{2} \ \RIGHTPHRASE ) \\ \KEY{Rule} \quad & \SEMREF{rval} \LEFTPHRASE \ \VARREF{Exp}\SUB{1} \ \LEX{{>}} \ \VARREF{Exp}\SUB{2} \ \RIGHTPHRASE = \NAMEHYPER{../../../../../Funcons-beta/Values/Primitive}{Integers}{is-greater} ( \SEMREF{rval} \LEFTPHRASE \ \VAR{Exp}\SUB{1} \ \RIGHTPHRASE , \SEMREF{rval} \LEFTPHRASE \ \VAR{Exp}\SUB{2} \ \RIGHTPHRASE ) \\ \KEY{Rule} \quad & \SEMREF{rval} \LEFTPHRASE \ \VARREF{Exp}\SUB{1} \ \LEX{{>}{=}} \ \VARREF{Exp}\SUB{2} \ \RIGHTPHRASE = \NAMEHYPER{../../../../../Funcons-beta/Values/Primitive}{Integers}{is-greater-or-equal} ( \SEMREF{rval} \LEFTPHRASE \ \VAR{Exp}\SUB{1} \ \RIGHTPHRASE , \SEMREF{rval} \LEFTPHRASE \ \VAR{Exp}\SUB{2} \ \RIGHTPHRASE ) \\ \KEY{Rule} \quad & \SEMREF{rval} \LEFTPHRASE \ \VARREF{Exp}\SUB{1} \ \LEX{{=}{=}} \ \VARREF{Exp}\SUB{2} \ \RIGHTPHRASE = \NAMEHYPER{../../../../../Funcons-beta/Values}{Value-Types}{is-equal} ( \SEMREF{rval} \LEFTPHRASE \ \VAR{Exp}\SUB{1} \ \RIGHTPHRASE , \SEMREF{rval} \LEFTPHRASE \ \VAR{Exp}\SUB{2} \ \RIGHTPHRASE ) \\ \KEY{Rule} \quad & \SEMREF{rval} \LEFTPHRASE \ \VARREF{Exp}\SUB{1} \ \LEX{{!}{=}} \ \VARREF{Exp}\SUB{2} \ \RIGHTPHRASE = \NAMEHYPER{../../../../../Funcons-beta/Values/Primitive}{Booleans}{not} ( \NAMEHYPER{../../../../../Funcons-beta/Values}{Value-Types}{is-equal} ( \SEMREF{rval} \LEFTPHRASE \ \VAR{Exp}\SUB{1} \ \RIGHTPHRASE , \SEMREF{rval} \LEFTPHRASE \ \VAR{Exp}\SUB{2} \ \RIGHTPHRASE ) ) \\ \KEY{Rule} \quad & \SEMREF{rval} \LEFTPHRASE \ \LEX{{!}} \ \VARREF{Exp} \ \RIGHTPHRASE = \NAMEHYPER{../../../../../Funcons-beta/Values/Primitive}{Booleans}{not} ( \SEMREF{rval} \LEFTPHRASE \ \VAR{Exp} \ \RIGHTPHRASE ) \\ \KEY{Rule} \quad & \SEMREF{rval} \LEFTPHRASE \ \VARREF{Exp}\SUB{1} \ \LEX{{\AMPERSAND}{\AMPERSAND}} \ \VARREF{Exp}\SUB{2} \ \RIGHTPHRASE = \NAMEHYPER{../../../../../Funcons-beta/Computations/Normal}{Flowing}{if-else} ( \SEMREF{rval} \LEFTPHRASE \ \VAR{Exp}\SUB{1} \ \RIGHTPHRASE , \SEMREF{rval} \LEFTPHRASE \ \VAR{Exp}\SUB{2} \ \RIGHTPHRASE , \NAMEHYPER{../../../../../Funcons-beta/Values/Primitive}{Booleans}{false} ) \\ \KEY{Rule} \quad & \SEMREF{rval} \LEFTPHRASE \ \VARREF{Exp}\SUB{1} \ \LEX{{|}{|}} \ \VARREF{Exp}\SUB{2} \ \RIGHTPHRASE = \NAMEHYPER{../../../../../Funcons-beta/Computations/Normal}{Flowing}{if-else} ( \SEMREF{rval} \LEFTPHRASE \ \VAR{Exp}\SUB{1} \ \RIGHTPHRASE , \NAMEHYPER{../../../../../Funcons-beta/Values/Primitive}{Booleans}{true}, \SEMREF{rval} \LEFTPHRASE \ \VAR{Exp}\SUB{2} \ \RIGHTPHRASE ) \end{align*}\]

SIMPLE uses natural numbers to identify threads; the use of \(\SHADE{\NAMEHYPER{../../../../../Unstable-Funcons-beta/Computations/Normal}{Indexing}{allocate-index} ( \_ )}\) below associates a natural number with the thread-id given by thread-activate. The use of \(\SHADE{\NAMEHYPER{../../../../../Unstable-Funcons-beta/Computations/Abnormal}{Postponing}{postpone-after-effect} ( \_ )}\) supports automatic release of locks when threads terminate.

\[\begin{align*} \KEY{Rule} \quad & \SEMREF{rval} \LEFTPHRASE \ \LEX{spawn} \ \VARHYPER{../.}{SIMPLE-THR-3-Statements}{Block} \ \RIGHTPHRASE = \\&\quad \NAMEHYPER{../../../../../Unstable-Funcons-beta/Computations/Normal}{Indexing}{allocate-index} \\&\quad\quad \NAMEHYPER{../../../../../Unstable-Funcons-beta/Computations/Threads}{Multithreading}{thread-activate} \ \NAMEHYPER{../../../../../Unstable-Funcons-beta/Computations/Threads}{Multithreading}{thread-joinable} \\&\quad\quad\quad \NAMEHYPER{../../../../../Funcons-beta/Values/Abstraction}{Thunks}{thunk} \ \NAMEHYPER{../../../../../Funcons-beta/Values/Abstraction}{Generic}{closure} \\&\quad\quad\quad\quad \NAMEHYPER{../../../../../Unstable-Funcons-beta/Computations/Abnormal}{Postponing}{postpone-after-effect} \\&\quad\quad\quad\quad\quad \SEMHYPER{../.}{SIMPLE-THR-3-Statements}{exec} \LEFTPHRASE \ \VAR{Block} \ \RIGHTPHRASE \end{align*}\] \[\begin{align*} \KEY{Syntax} \quad \VARDECL{Exps} : \SYNDECL{exps} \ ::= \ & \ \SYNREF{exp} \ \LEFTGROUP \LEX{{,}} \ \SYNREF{exps} \RIGHTGROUP\QUERY \end{align*}\] \[\begin{align*} \KEY{Semantics} \quad & \SEMDECL{rvals} \LEFTPHRASE \ \_ : \SYNREF{exps}\QUERY \ \RIGHTPHRASE : ( \TO \NAMEHYPER{../../../../../Funcons-beta/Values}{Value-Types}{values} )\STAR \\ \KEY{Rule} \quad & \SEMREF{rvals} \LEFTPHRASE \ \ \RIGHTPHRASE = ( \ ) \\ \KEY{Rule} \quad & \SEMREF{rvals} \LEFTPHRASE \ \VARREF{Exp} \ \RIGHTPHRASE = \SEMREF{rval} \LEFTPHRASE \ \VAR{Exp} \ \RIGHTPHRASE \\ \KEY{Rule} \quad & \SEMREF{rvals} \LEFTPHRASE \ \VARREF{Exp} \ \LEX{{,}} \ \VARREF{Exps} \ \RIGHTPHRASE = \SEMREF{rval} \LEFTPHRASE \ \VAR{Exp} \ \RIGHTPHRASE , \SEMREF{rvals} \LEFTPHRASE \ \VAR{Exps} \ \RIGHTPHRASE \end{align*}\] \[\begin{align*} \KEY{Syntax} \quad \VARDECL{LExp} : \SYNDECL{lexp} \ ::= \ & \ \SYNHYPER{../.}{SIMPLE-THR-1-Lexical}{id} \mid \SYNREF{lexp} \ \LEX{{[}} \ \SYNREF{exps} \ \LEX{{]}} \end{align*}\] \[\begin{align*} \KEY{Rule} \quad & \LEFTPHRASE \ \VARREF{LExp} \ \LEX{{[}} \ \VARREF{Exp} \ \LEX{{,}} \ \VARREF{Exps} \ \LEX{{]}} \ \RIGHTPHRASE : \SYNREF{lexp} = \\& \LEFTPHRASE \ \VAR{LExp} \ \LEX{{[}} \ \VAR{Exp} \ \LEX{{]}} \ \LEX{{[}} \ \VAR{Exps} \ \LEX{{]}} \ \RIGHTPHRASE \end{align*}\] \[\begin{align*} \KEY{Semantics} \quad & \SEMDECL{lval} \LEFTPHRASE \ \_ : \SYNREF{lexp} \ \RIGHTPHRASE : \TO \NAMEHYPER{../../../../../Funcons-beta/Computations/Normal}{Storing}{variables} \\ \KEY{Rule} \quad & \SEMREF{lval} \LEFTPHRASE \ \VARHYPER{../.}{SIMPLE-THR-1-Lexical}{Id} \ \RIGHTPHRASE = \NAMEHYPER{../../../../../Funcons-beta/Computations/Normal}{Binding}{bound} ( \SEMHYPER{../.}{SIMPLE-THR-1-Lexical}{id} \LEFTPHRASE \ \VAR{Id} \ \RIGHTPHRASE ) \\ \KEY{Rule} \quad & \SEMREF{lval} \LEFTPHRASE \ \VARREF{LExp} \ \LEX{{[}} \ \VARREF{Exp} \ \LEX{{]}} \ \RIGHTPHRASE = \\&\quad \NAMEHYPER{../../../../../Funcons-beta/Computations/Abnormal}{Failing}{checked} \ \NAMEHYPER{../../../../../Funcons-beta/Values/Composite}{Sequences}{index} ( \NAMEHYPER{../../../../../Funcons-beta/Values/Primitive}{Integers}{integer-add} ( 1, \SEMREF{rval} \LEFTPHRASE \ \VAR{Exp} \ \RIGHTPHRASE ), \NAMEHYPER{../../../../../Funcons-beta/Values/Composite}{Vectors}{vector-elements} ( \SEMREF{rval} \LEFTPHRASE \ \VAR{LExp} \ \RIGHTPHRASE ) ) \end{align*}\]

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