\(
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% inline MATH in running text:
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\)
Languages-beta : OC-L-07-Expressions.cbs | PLAIN | PDF
OUTLINE
\[\KEY{Language} \quad \STRING{OCaml Light}\]
\(\SECT{7}\) Expressions
\[\begin{align*}
\KEY{Syntax} \quad
\VARDECL{E} : \SYNDECL{expr}
\ ::= \ & \
\SYNHYPER{../.}{OC-L-03-Names}{value-path} \\
\ \mid \ & \ \SYNHYPER{../.}{OC-L-05-Constants}{constant} \\
\ \mid \ & \ \LEX{{(}} \ \SYNREF{expr} \ \LEX{{)}} \\
\ \mid \ & \ \LEX{begin} \ \SYNREF{expr} \ \LEX{end} \\
\ \mid \ & \ \LEX{{(}} \ \SYNREF{expr} \ \LEX{{:}} \ \SYNHYPER{../.}{OC-L-04-Type-Expressions}{typexpr} \ \LEX{{)}} \\
\ \mid \ & \ \SYNREF{expr} \ \SYNREF{comma-expr}\PLUS \\
\ \mid \ & \ \SYNREF{expr} \ \LEX{{:}{:}} \ \SYNREF{expr} \\
\ \mid \ & \ \LEX{{[}} \ \SYNREF{expr} \ \SYNREF{semic-expr}\STAR \ \LEX{{]}} \\
\ \mid \ & \ \LEX{{[}} \ \SYNREF{expr} \ \SYNREF{semic-expr}\STAR \ \LEX{{;}} \ \LEX{{]}} \\
\ \mid \ & \ \LEX{{[}{|}} \ \SYNREF{expr} \ \SYNREF{semic-expr}\STAR \ \LEX{{|}{]}} \\
\ \mid \ & \ \LEX{{[}{|}} \ \SYNREF{expr} \ \SYNREF{semic-expr}\STAR \ \LEX{{;}} \ \LEX{{|}{]}} \\
\ \mid \ & \ \LEX{{\LEFTBRACE}} \ \SYNHYPER{../.}{OC-L-03-Names}{field} \ \LEX{{=}} \ \SYNREF{expr} \ \SYNREF{semic-field-expr}\STAR \ \LEX{{\RIGHTBRACE}} \\
\ \mid \ & \ \LEX{{\LEFTBRACE}} \ \SYNHYPER{../.}{OC-L-03-Names}{field} \ \LEX{{=}} \ \SYNREF{expr} \ \SYNREF{semic-field-expr}\STAR \ \LEX{{;}} \ \LEX{{\RIGHTBRACE}} \\
\ \mid \ & \ \LEX{{\LEFTBRACE}} \ \SYNREF{expr} \ \LEX{with} \ \SYNHYPER{../.}{OC-L-03-Names}{field} \ \LEX{{=}} \ \SYNREF{expr} \ \SYNREF{semic-field-expr}\STAR \ \LEX{{\RIGHTBRACE}} \\
\ \mid \ & \ \LEX{{\LEFTBRACE}} \ \SYNREF{expr} \ \LEX{with} \ \SYNHYPER{../.}{OC-L-03-Names}{field} \ \LEX{{=}} \ \SYNREF{expr} \ \SYNREF{semic-field-expr}\STAR \ \LEX{{;}} \ \LEX{{\RIGHTBRACE}} \\
\ \mid \ & \ \SYNREF{expr} \ \SYNREF{argument}\PLUS \\
\ \mid \ & \ \SYNHYPER{../.}{OC-L-01-Lexical-Conventions}{prefix-symbol} \ \SYNREF{expr} \\
\ \mid \ & \ \LEX{{-}} \ \SYNREF{expr} \\
\ \mid \ & \ \LEX{{-}{.}} \ \SYNREF{expr} \\
\ \mid \ & \ \SYNREF{expr} \ \SYNHYPER{../.}{OC-L-03-Names}{infix-op-1} \ \SYNREF{expr} \\
\ \mid \ & \ \SYNREF{expr} \ \SYNHYPER{../.}{OC-L-03-Names}{infix-op-2} \ \SYNREF{expr} \\
\ \mid \ & \ \SYNREF{expr} \ \SYNHYPER{../.}{OC-L-03-Names}{infix-op-3} \ \SYNREF{expr} \\
\ \mid \ & \ \SYNREF{expr} \ \SYNHYPER{../.}{OC-L-03-Names}{infix-op-4} \ \SYNREF{expr} \\
\ \mid \ & \ \SYNREF{expr} \ \SYNHYPER{../.}{OC-L-03-Names}{infix-op-5} \ \SYNREF{expr} \\
\ \mid \ & \ \SYNREF{expr} \ \SYNHYPER{../.}{OC-L-03-Names}{infix-op-6} \ \SYNREF{expr} \\
\ \mid \ & \ \SYNREF{expr} \ \SYNHYPER{../.}{OC-L-03-Names}{infix-op-7} \ \SYNREF{expr} \\
\ \mid \ & \ \SYNREF{expr} \ \SYNHYPER{../.}{OC-L-03-Names}{infix-op-8} \ \SYNREF{expr} \\
\ \mid \ & \ \SYNREF{expr} \ \LEX{{.}} \ \SYNHYPER{../.}{OC-L-03-Names}{field} \\
\ \mid \ & \ \SYNREF{expr} \ \LEX{{.}{(}} \ \SYNREF{expr} \ \LEX{{)}} \\
\ \mid \ & \ \SYNREF{expr} \ \LEX{{.}{(}} \ \SYNREF{expr} \ \LEX{{)}} \ \LEX{{<}{-}} \ \SYNREF{expr} \\
\ \mid \ & \ \LEX{if} \ \SYNREF{expr} \ \LEX{then} \ \SYNREF{expr} \ \LEFTGROUP \LEX{else} \ \SYNREF{expr} \RIGHTGROUP\QUERY \\
\ \mid \ & \ \LEX{while} \ \SYNREF{expr} \ \LEX{do} \ \SYNREF{expr} \ \LEX{done} \\
\ \mid \ & \ \LEX{for} \ \SYNHYPER{../.}{OC-L-03-Names}{value-name} \ \LEX{{=}} \ \SYNREF{expr} \ \LEFTGROUP \LEX{to} \mid \LEX{downto} \RIGHTGROUP \ \SYNREF{expr} \ \LEX{do} \ \SYNREF{expr} \ \LEX{done} \\
\ \mid \ & \ \SYNREF{expr} \ \LEX{{;}} \ \SYNREF{expr} \\
\ \mid \ & \ \LEX{match} \ \SYNREF{expr} \ \LEX{with} \ \SYNREF{pattern-matching} \\
\ \mid \ & \ \LEX{function} \ \SYNREF{pattern-matching} \\
\ \mid \ & \ \LEX{fun} \ \SYNHYPER{../.}{OC-L-06-Patterns}{pattern}\PLUS \ \LEX{{-}{>}} \ \SYNREF{expr} \\
\ \mid \ & \ \LEX{try} \ \SYNREF{expr} \ \LEX{with} \ \SYNREF{pattern-matching} \\
\ \mid \ & \ \SYNREF{let-definition} \ \LEX{in} \ \SYNREF{expr} \\
\ \mid \ & \ \LEX{assert} \ \SYNREF{expr}
\\
\VARDECL{A} : \SYNDECL{argument}
\ ::= \ & \
\SYNREF{expr}
\\
\VARDECL{PM} : \SYNDECL{pattern-matching}
\ ::= \ & \
\SYNHYPER{../.}{OC-L-06-Patterns}{pattern} \ \LEX{{-}{>}} \ \SYNREF{expr} \ \SYNREF{pattern-expr}\STAR \\
\ \mid \ & \ \LEX{{|}} \ \SYNHYPER{../.}{OC-L-06-Patterns}{pattern} \ \LEX{{-}{>}} \ \SYNREF{expr} \ \SYNREF{pattern-expr}\STAR
\\
\VARDECL{LD} : \SYNDECL{let-definition}
\ ::= \ & \
\LEX{let} \ \LEFTGROUP \LEX{rec} \RIGHTGROUP\QUERY \ \SYNREF{let-binding} \ \SYNREF{and-let-binding}\STAR
\\
\VARDECL{LB} : \SYNDECL{let-binding}
\ ::= \ & \
\SYNHYPER{../.}{OC-L-06-Patterns}{pattern} \ \LEX{{=}} \ \SYNREF{expr} \\
\ \mid \ & \ \SYNHYPER{../.}{OC-L-03-Names}{value-name} \ \SYNHYPER{../.}{OC-L-06-Patterns}{pattern}\PLUS \ \LEX{{=}} \ \SYNREF{expr} \\
\ \mid \ & \ \SYNHYPER{../.}{OC-L-03-Names}{value-name} \ \LEX{{:}} \ \SYNHYPER{../.}{OC-L-04-Type-Expressions}{poly-typexpr} \ \LEX{{=}} \ \SYNREF{expr}
\\
\VARDECL{ALB} : \SYNDECL{and-let-binding}
\ ::= \ & \
\LEX{and} \ \SYNREF{let-binding}
\\
\VARDECL{CE} : \SYNDECL{comma-expr}
\ ::= \ & \
\LEX{{,}} \ \SYNREF{expr}
\\
\VARDECL{SE} : \SYNDECL{semic-expr}
\ ::= \ & \
\LEX{{;}} \ \SYNREF{expr}
\\
\VARDECL{SFE} : \SYNDECL{semic-field-expr}
\ ::= \ & \
\LEX{{;}} \ \SYNHYPER{../.}{OC-L-03-Names}{field} \ \LEX{{=}} \ \SYNREF{expr}
\\
\VARDECL{PE} : \SYNDECL{pattern-expr}
\ ::= \ & \
\LEX{{|}} \ \SYNHYPER{../.}{OC-L-06-Patterns}{pattern} \ \LEX{{-}{>}} \ \SYNREF{expr}
\end{align*}\]
\[\begin{align*}
\KEY{Rule} \quad
& \LEFTPHRASE \
\LEX{{(}} \ \VARREF{E} \ \LEX{{)}} \
\RIGHTPHRASE : \SYNREF{expr} =
\LEFTPHRASE \
\VAR{E} \
\RIGHTPHRASE
\\
\KEY{Rule} \quad
& \LEFTPHRASE \
\LEX{begin} \ \VARREF{E} \ \LEX{end} \
\RIGHTPHRASE : \SYNREF{expr} =
\LEFTPHRASE \
\VAR{E} \
\RIGHTPHRASE
\\
\KEY{Rule} \quad
& \LEFTPHRASE \
\LEX{{(}} \ \VARREF{E} \ \LEX{{:}} \ \VARHYPER{../.}{OC-L-04-Type-Expressions}{T} \ \LEX{{)}} \
\RIGHTPHRASE : \SYNREF{expr} =
\LEFTPHRASE \
\VAR{E} \
\RIGHTPHRASE
\\
\KEY{Rule} \quad
& \LEFTPHRASE \
\VARREF{E}\SUB{1} \ \VARREF{E}\SUB{2} \ \VARREF{A} \ \VARREF{A}\STAR \
\RIGHTPHRASE : \SYNREF{expr} =
\LEFTPHRASE \
\LEFTGROUP \LEX{{(}} \ \VAR{E}\SUB{1} \ \VAR{E}\SUB{2} \ \LEX{{)}} \RIGHTGROUP \ \VAR{A} \ \VAR{A}\STAR \
\RIGHTPHRASE
\\
\KEY{Rule} \quad
& \LEFTPHRASE \
\VARHYPER{../.}{OC-L-01-Lexical-Conventions}{PS} \ \VARREF{E} \
\RIGHTPHRASE : \SYNREF{expr} =
\LEFTPHRASE \
\LEFTGROUP \LEX{{(}} \ \VAR{PS} \ \LEX{{)}} \RIGHTGROUP \ \VAR{E} \
\RIGHTPHRASE
\\
\KEY{Rule} \quad
& \LEFTPHRASE \
\LEX{{-}} \ \VARREF{E} \
\RIGHTPHRASE : \SYNREF{expr} =
\LEFTPHRASE \
\LEFTGROUP \LEX{{(}} \ \LEX{{\TILDE}{-}} \ \LEX{{)}} \RIGHTGROUP \ \VAR{E} \
\RIGHTPHRASE
\\
\KEY{Rule} \quad
& \LEFTPHRASE \
\LEX{{-}{.}} \ \VARREF{E} \
\RIGHTPHRASE : \SYNREF{expr} =
\LEFTPHRASE \
\LEFTGROUP \LEX{{(}} \ \LEX{{\TILDE}{-}{.}} \ \LEX{{)}} \RIGHTGROUP \ \VAR{E} \
\RIGHTPHRASE
\\
\KEY{Rule} \quad
& \LEFTPHRASE \
\VARREF{E}\SUB{1} \ \VARHYPER{../.}{OC-L-03-Names}{IO-1} \ \VARREF{E}\SUB{2} \
\RIGHTPHRASE : \SYNREF{expr} =
\LEFTPHRASE \
\LEFTGROUP \LEX{{(}} \ \VAR{IO-1} \ \LEX{{)}} \RIGHTGROUP \ \VAR{E}\SUB{1} \ \VAR{E}\SUB{2} \
\RIGHTPHRASE
\\
\KEY{Rule} \quad
& \LEFTPHRASE \
\VARREF{E}\SUB{1} \ \VARHYPER{../.}{OC-L-03-Names}{IO-2} \ \VARREF{E}\SUB{2} \
\RIGHTPHRASE : \SYNREF{expr} =
\LEFTPHRASE \
\LEFTGROUP \LEX{{(}} \ \VAR{IO-2} \ \LEX{{)}} \RIGHTGROUP \ \VAR{E}\SUB{1} \ \VAR{E}\SUB{2} \
\RIGHTPHRASE
\\
\KEY{Rule} \quad
& \LEFTPHRASE \
\VARREF{E}\SUB{1} \ \VARHYPER{../.}{OC-L-03-Names}{IO-3} \ \VARREF{E}\SUB{2} \
\RIGHTPHRASE : \SYNREF{expr} =
\LEFTPHRASE \
\LEFTGROUP \LEX{{(}} \ \VAR{IO-3} \ \LEX{{)}} \RIGHTGROUP \ \VAR{E}\SUB{1} \ \VAR{E}\SUB{2} \
\RIGHTPHRASE
\\
\KEY{Rule} \quad
& \LEFTPHRASE \
\VARREF{E}\SUB{1} \ \VARHYPER{../.}{OC-L-03-Names}{IO-4} \ \VARREF{E}\SUB{2} \
\RIGHTPHRASE : \SYNREF{expr} =
\LEFTPHRASE \
\LEFTGROUP \LEX{{(}} \ \VAR{IO-4} \ \LEX{{)}} \RIGHTGROUP \ \VAR{E}\SUB{1} \ \VAR{E}\SUB{2} \
\RIGHTPHRASE
\\
\KEY{Rule} \quad
& \LEFTPHRASE \
\VARREF{E}\SUB{1} \ \VARHYPER{../.}{OC-L-03-Names}{IO-5} \ \VARREF{E}\SUB{2} \
\RIGHTPHRASE : \SYNREF{expr} =
\LEFTPHRASE \
\LEFTGROUP \LEX{{(}} \ \VAR{IO-5} \ \LEX{{)}} \RIGHTGROUP \ \VAR{E}\SUB{1} \ \VAR{E}\SUB{2} \
\RIGHTPHRASE
\\
\KEY{Rule} \quad
& \LEFTPHRASE \
\VARREF{E}\SUB{1} \ \LEX{{\AMPERSAND}} \ \VARREF{E}\SUB{2} \
\RIGHTPHRASE : \SYNREF{expr} =
\LEFTPHRASE \
\VAR{E}\SUB{1} \ \LEX{{\AMPERSAND}{\AMPERSAND}} \ \VAR{E}\SUB{2} \
\RIGHTPHRASE
\\
\KEY{Rule} \quad
& \LEFTPHRASE \
\VARREF{E}\SUB{1} \ \LEX{or} \ \VARREF{E}\SUB{2} \
\RIGHTPHRASE : \SYNREF{expr} =
\LEFTPHRASE \
\VAR{E}\SUB{1} \ \LEX{{|}{|}} \ \VAR{E}\SUB{2} \
\RIGHTPHRASE
\\
\KEY{Rule} \quad
& \LEFTPHRASE \
\VARREF{E}\SUB{1} \ \VARHYPER{../.}{OC-L-03-Names}{IO-8} \ \VARREF{E}\SUB{2} \
\RIGHTPHRASE : \SYNREF{expr} =
\LEFTPHRASE \
\LEFTGROUP \LEX{{(}} \ \VAR{IO-8} \ \LEX{{)}} \RIGHTGROUP \ \VAR{E}\SUB{1} \ \VAR{E}\SUB{2} \
\RIGHTPHRASE
\\
\KEY{Rule} \quad
& \LEFTPHRASE \
\VARREF{E}\SUB{1} \ \LEX{{.}{(}} \ \VARREF{E}\SUB{2} \ \LEX{{)}} \
\RIGHTPHRASE : \SYNREF{expr} =
\LEFTPHRASE \
\LEX{array{\UNDERSCORE}get} \ \VAR{E}\SUB{1} \ \VAR{E}\SUB{2} \
\RIGHTPHRASE
\\
\KEY{Rule} \quad
& \LEFTPHRASE \
\VARREF{E}\SUB{1} \ \LEX{{.}{(}} \ \VARREF{E}\SUB{2} \ \LEX{{)}} \ \LEX{{<}{-}} \ \VARREF{E}\SUB{3} \
\RIGHTPHRASE : \SYNREF{expr} =
\LEFTPHRASE \
\LEX{array{\UNDERSCORE}set} \ \VAR{E}\SUB{1} \ \VAR{E}\SUB{2} \ \VAR{E}\SUB{3} \
\RIGHTPHRASE
\\
\KEY{Rule} \quad
& \LEFTPHRASE \
\LEX{if} \ \VARREF{E}\SUB{1} \ \LEX{then} \ \VARREF{E}\SUB{2} \
\RIGHTPHRASE : \SYNREF{expr} =
\LEFTPHRASE \
\LEX{if} \ \VAR{E}\SUB{1} \ \LEX{then} \ \VAR{E}\SUB{2} \ \LEX{else} \ \LEFTGROUP \LEX{{(}} \ \LEX{{)}} \RIGHTGROUP \
\RIGHTPHRASE
\\
\KEY{Rule} \quad
& \LEFTPHRASE \
\LEX{fun} \ \VARHYPER{../.}{OC-L-06-Patterns}{P} \ \LEX{{-}{>}} \ \VARREF{E} \
\RIGHTPHRASE : \SYNREF{expr} =
\LEFTPHRASE \
\LEX{function} \ \VAR{P} \ \LEX{{-}{>}} \ \VAR{E} \
\RIGHTPHRASE
\\
\KEY{Rule} \quad
& \LEFTPHRASE \
\LEX{fun} \ \VARHYPER{../.}{OC-L-06-Patterns}{P} \ \VARHYPER{../.}{OC-L-06-Patterns}{P}\PLUS \ \LEX{{-}{>}} \ \VARREF{E} \
\RIGHTPHRASE : \SYNREF{expr} =
\LEFTPHRASE \
\LEX{fun} \ \VAR{P} \ \LEX{{-}{>}} \ \LEFTGROUP \LEX{fun} \ \VAR{P}\PLUS \ \LEX{{-}{>}} \ \VAR{E} \RIGHTGROUP \
\RIGHTPHRASE
\\
\KEY{Rule} \quad
& \LEFTPHRASE \
\LEX{{[}} \ \VARREF{E} \ \VARREF{SE}\STAR \ \LEX{{;}} \ \LEX{{]}} \
\RIGHTPHRASE : \SYNREF{expr} =
\LEFTPHRASE \
\LEX{{[}} \ \VAR{E} \ \VAR{SE}\STAR \ \LEX{{]}} \
\RIGHTPHRASE
\\
\KEY{Rule} \quad
& \LEFTPHRASE \
\LEX{{[}{|}} \ \VARREF{E} \ \VARREF{SE}\STAR \ \LEX{{;}} \ \LEX{{|}{]}} \
\RIGHTPHRASE : \SYNREF{expr} =
\LEFTPHRASE \
\LEX{{[}{|}} \ \VAR{E} \ \VAR{SE}\STAR \ \LEX{{|}{]}} \
\RIGHTPHRASE
\\
\KEY{Rule} \quad
& \LEFTPHRASE \
\LEX{{\LEFTBRACE}} \ \VARHYPER{../.}{OC-L-03-Names}{F} \ \LEX{{=}} \ \VARREF{E} \ \VARREF{SFE}\STAR \ \LEX{{;}} \ \LEX{{\RIGHTBRACE}} \
\RIGHTPHRASE : \SYNREF{expr} =
\LEFTPHRASE \
\LEX{{\LEFTBRACE}} \ \VAR{F} \ \LEX{{=}} \ \VAR{E} \ \VAR{SFE}\STAR \ \LEX{{\RIGHTBRACE}} \
\RIGHTPHRASE
\\
\KEY{Rule} \quad
& \LEFTPHRASE \
\LEX{{\LEFTBRACE}} \ \VARREF{E}\SUB{1} \ \LEX{with} \ \VARHYPER{../.}{OC-L-03-Names}{F} \ \LEX{{=}} \ \VARREF{E}\SUB{2} \ \VARREF{SFE}\STAR \ \LEX{{;}} \ \LEX{{\RIGHTBRACE}} \
\RIGHTPHRASE : \SYNREF{expr} = \\&
\LEFTPHRASE \
\LEX{{\LEFTBRACE}} \ \VAR{E}\SUB{1} \ \LEX{with} \ \VAR{F} \ \LEX{{=}} \ \VAR{E}\SUB{2} \ \VAR{SFE}\STAR \ \LEX{{\RIGHTBRACE}} \
\RIGHTPHRASE
\\
\KEY{Rule} \quad
& \LEFTPHRASE \
\LEX{{|}} \ \VARHYPER{../.}{OC-L-06-Patterns}{P} \ \LEX{{-}{>}} \ \VARREF{E} \ \VARREF{PE}\STAR \
\RIGHTPHRASE : \SYNREF{pattern-matching} =
\LEFTPHRASE \
\VAR{P} \ \LEX{{-}{>}} \ \VAR{E} \ \VAR{PE}\STAR \
\RIGHTPHRASE
\\
\KEY{Rule} \quad
& \LEFTPHRASE \
\VARHYPER{../.}{OC-L-03-Names}{VN} \ \LEX{{:}} \ \VARHYPER{../.}{OC-L-04-Type-Expressions}{PT} \ \LEX{{=}} \ \VARREF{E} \
\RIGHTPHRASE : \SYNREF{let-binding} =
\LEFTPHRASE \
\VAR{VN} \ \LEX{{=}} \ \VAR{E} \
\RIGHTPHRASE
\\
\KEY{Rule} \quad
& \LEFTPHRASE \
\VARHYPER{../.}{OC-L-03-Names}{VN} \ \VARHYPER{../.}{OC-L-06-Patterns}{P}\PLUS \ \LEX{{=}} \ \VARREF{E} \
\RIGHTPHRASE : \SYNREF{let-binding} =
\LEFTPHRASE \
\VAR{VN} \ \LEX{{=}} \ \LEFTGROUP \LEX{fun} \ \VAR{P}\PLUS \ \LEX{{-}{>}} \ \VAR{E} \RIGHTGROUP \
\RIGHTPHRASE
\end{align*}\]
\[\begin{align*}
\KEY{Semantics} \quad
& \SEMDECL{evaluate} \LEFTPHRASE \ \_ : \SYNREF{expr} \ \RIGHTPHRASE
: \TO \NAMEHYPER{../.}{OC-L-02-Values}{implemented-values}
\\
\KEY{Rule} \quad
& \SEMREF{evaluate} \LEFTPHRASE \
\VARHYPER{../.}{OC-L-03-Names}{VP} \
\RIGHTPHRASE =
\NAMEHYPER{../../../../../Funcons-beta/Computations/Normal}{Binding}{bound}
( \SEMHYPER{../.}{OC-L-03-Names}{value-name} \LEFTPHRASE \
\VAR{VP} \
\RIGHTPHRASE )
\\
\KEY{Rule} \quad
& \SEMREF{evaluate} \LEFTPHRASE \
\VARHYPER{../.}{OC-L-05-Constants}{CNST} \
\RIGHTPHRASE =
\SEMHYPER{../.}{OC-L-05-Constants}{value} \LEFTPHRASE \
\VAR{CNST} \
\RIGHTPHRASE
\\
\KEY{Rule} \quad
& \SEMREF{evaluate} \LEFTPHRASE \
\LEX{{(}} \ \VARREF{E} \ \LEX{{:}} \ \VARHYPER{../.}{OC-L-04-Type-Expressions}{T} \ \LEX{{)}} \
\RIGHTPHRASE =
\SEMREF{evaluate} \LEFTPHRASE \
\VAR{E} \
\RIGHTPHRASE
\\
\KEY{Rule} \quad
& \SEMREF{evaluate} \LEFTPHRASE \
\VARREF{E}\SUB{1} \ \LEX{{,}} \ \VARREF{E}\SUB{2} \ \VARREF{CE}\STAR \
\RIGHTPHRASE = \\&\quad
\NAMEHYPER{../../../../../Funcons-beta/Values/Composite}{Tuples}{tuple}
( \SEMREF{evaluate-comma-sequence} \LEFTPHRASE \
\VAR{E}\SUB{1} \ \LEX{{,}} \ \VAR{E}\SUB{2} \ \VAR{CE}\STAR \
\RIGHTPHRASE )
\\
\KEY{Rule} \quad
& \SEMREF{evaluate} \LEFTPHRASE \
\VARREF{E}\SUB{1} \ \LEX{{:}{:}} \ \VARREF{E}\SUB{2} \
\RIGHTPHRASE =
\NAMEHYPER{../../../../../Funcons-beta/Values/Composite}{Lists}{cons}
( \SEMREF{evaluate} \LEFTPHRASE \
\VAR{E}\SUB{1} \
\RIGHTPHRASE ,
\SEMREF{evaluate} \LEFTPHRASE \
\VAR{E}\SUB{2} \
\RIGHTPHRASE )
\\
\KEY{Rule} \quad
& \SEMREF{evaluate} \LEFTPHRASE \
\LEX{{[}} \ \VARREF{E} \ \VARREF{SE}\STAR \ \LEX{{]}} \
\RIGHTPHRASE =
[ \SEMREF{evaluate-semic-sequence} \LEFTPHRASE \
\VAR{E} \ \VAR{SE}\STAR \
\RIGHTPHRASE ]
\\
\KEY{Rule} \quad
& \SEMREF{evaluate} \LEFTPHRASE \
\LEX{{[}{|}} \ \VARREF{E} \ \VARREF{SE}\STAR \ \LEX{{|}{]}} \
\RIGHTPHRASE = \\&\quad
\NAMEHYPER{../../../../../Funcons-beta/Values/Composite}{Vectors}{vector}
( \\&\quad\quad \NAMEHYPER{../../../../../Funcons-beta/Computations/Normal}{Giving}{left-to-right-map}
( \\&\quad\quad\quad \NAMEHYPER{../../../../../Funcons-beta/Computations/Normal}{Storing}{allocate-initialised-variable}
( \NAMEHYPER{../.}{OC-L-02-Values}{implemented-values},
\NAMEHYPER{../../../../../Funcons-beta/Computations/Normal}{Giving}{given} ), \\&\quad\quad\quad
\SEMREF{evaluate-semic-sequence} \LEFTPHRASE \
\VAR{E} \ \VAR{SE}\STAR \
\RIGHTPHRASE ) )
\\
\KEY{Rule} \quad
& \SEMREF{evaluate} \LEFTPHRASE \
\LEX{{[}{|}} \ \LEX{{|}{]}} \
\RIGHTPHRASE =
\NAMEHYPER{../../../../../Funcons-beta/Values/Composite}{Vectors}{vector}
( \ )
\\
\KEY{Rule} \quad
& \SEMREF{evaluate} \LEFTPHRASE \
\LEX{{\LEFTBRACE}} \ \VARHYPER{../.}{OC-L-03-Names}{F} \ \LEX{{=}} \ \VARREF{E} \ \VARREF{SFE}\STAR \ \LEX{{\RIGHTBRACE}} \
\RIGHTPHRASE = \\&\quad
\NAMEHYPER{../../../../../Funcons-beta/Values/Composite}{Records}{record}
( \NAMEHYPER{../../../../../Funcons-beta/Computations/Normal}{Binding}{collateral}
( \SEMREF{evaluate-field-sequence} \LEFTPHRASE \
\VAR{F} \ \LEX{{=}} \ \VAR{E} \ \VAR{SFE}\STAR \
\RIGHTPHRASE ) )
\\
\KEY{Rule} \quad
& \SEMREF{evaluate} \LEFTPHRASE \
\LEX{{\LEFTBRACE}} \ \VARREF{E}\SUB{1} \ \LEX{with} \ \VARHYPER{../.}{OC-L-03-Names}{F} \ \LEX{{=}} \ \VARREF{E}\SUB{2} \ \VARREF{SFE}\STAR \ \LEX{{\RIGHTBRACE}} \
\RIGHTPHRASE = \\&\quad
\NAMEHYPER{../../../../../Funcons-beta/Values/Composite}{Records}{record}
( \\&\quad\quad \NAMEHYPER{../../../../../Funcons-beta/Values/Composite}{Maps}{map-override}
( \\&\quad\quad\quad \SEMREF{evaluate-field-sequence} \LEFTPHRASE \
\VAR{F} \ \LEX{{=}} \ \VAR{E}\SUB{2} \ \VAR{SFE}\STAR \
\RIGHTPHRASE , \\&\quad\quad\quad
\NAMEHYPER{../../../../../Funcons-beta/Computations/Abnormal}{Failing}{checked} \
\NAMEHYPER{../../../../../Funcons-beta/Values/Composite}{Records}{record-map}
( \SEMREF{evaluate} \LEFTPHRASE \
\VAR{E}\SUB{1} \
\RIGHTPHRASE ) ) )
\\
\KEY{Rule} \quad
& \SEMREF{evaluate} \LEFTPHRASE \
\VARHYPER{../.}{OC-L-03-Names}{CSTR} \ \VARREF{E} \
\RIGHTPHRASE = \\&\quad
\NAMEHYPER{../../../../../Funcons-beta/Values/Composite}{Variants}{variant}
( \SEMHYPER{../.}{OC-L-03-Names}{constr-name} \LEFTPHRASE \
\VAR{CSTR} \
\RIGHTPHRASE ,
\SEMREF{evaluate} \LEFTPHRASE \
\VAR{E} \
\RIGHTPHRASE )
\\
\KEY{Otherwise} \quad
& \SEMREF{evaluate} \LEFTPHRASE \
\VARREF{E}\SUB{1} \ \VARREF{E}\SUB{2} \
\RIGHTPHRASE = \\&\quad
\NAMEHYPER{../../../../../Funcons-beta/Values/Abstraction}{Functions}{apply}
( \SEMREF{evaluate} \LEFTPHRASE \
\VAR{E}\SUB{1} \
\RIGHTPHRASE ,
\SEMREF{evaluate} \LEFTPHRASE \
\VAR{E}\SUB{2} \
\RIGHTPHRASE )
\\
\KEY{Rule} \quad
& \SEMREF{evaluate} \LEFTPHRASE \
\VARREF{E} \ \LEX{{.}} \ \VARHYPER{../.}{OC-L-03-Names}{F} \
\RIGHTPHRASE = \\&\quad
\NAMEHYPER{../../../../../Funcons-beta/Values/Composite}{Records}{record-select}
( \SEMREF{evaluate} \LEFTPHRASE \
\VAR{E} \
\RIGHTPHRASE ,
\SEMHYPER{../.}{OC-L-03-Names}{field-name} \LEFTPHRASE \
\VAR{F} \
\RIGHTPHRASE )
\\
\KEY{Rule} \quad
& \SEMREF{evaluate} \LEFTPHRASE \
\VARREF{E}\SUB{1} \ \LEX{{\AMPERSAND}{\AMPERSAND}} \ \VARREF{E}\SUB{2} \
\RIGHTPHRASE = \\&\quad
\NAMEHYPER{../../../../../Funcons-beta/Computations/Normal}{Flowing}{if-true-else}
( \SEMREF{evaluate} \LEFTPHRASE \
\VAR{E}\SUB{1} \
\RIGHTPHRASE ,
\SEMREF{evaluate} \LEFTPHRASE \
\VAR{E}\SUB{2} \
\RIGHTPHRASE ,
\NAMEHYPER{../../../../../Funcons-beta/Values/Primitive}{Booleans}{false} )
\\
\KEY{Rule} \quad
& \SEMREF{evaluate} \LEFTPHRASE \
\VARREF{E}\SUB{1} \ \LEX{{|}{|}} \ \VARREF{E}\SUB{2} \
\RIGHTPHRASE = \\&\quad
\NAMEHYPER{../../../../../Funcons-beta/Computations/Normal}{Flowing}{if-true-else}
( \SEMREF{evaluate} \LEFTPHRASE \
\VAR{E}\SUB{1} \
\RIGHTPHRASE ,
\NAMEHYPER{../../../../../Funcons-beta/Values/Primitive}{Booleans}{true},
\SEMREF{evaluate} \LEFTPHRASE \
\VAR{E}\SUB{2} \
\RIGHTPHRASE )
\\
\KEY{Rule} \quad
& \SEMREF{evaluate} \LEFTPHRASE \
\LEX{if} \ \VARREF{E}\SUB{1} \ \LEX{then} \ \VARREF{E}\SUB{2} \ \LEX{else} \ \VARREF{E}\SUB{3} \
\RIGHTPHRASE = \\&\quad
\NAMEHYPER{../../../../../Funcons-beta/Computations/Normal}{Flowing}{if-true-else}
( \SEMREF{evaluate} \LEFTPHRASE \
\VAR{E}\SUB{1} \
\RIGHTPHRASE ,
\SEMREF{evaluate} \LEFTPHRASE \
\VAR{E}\SUB{2} \
\RIGHTPHRASE ,
\SEMREF{evaluate} \LEFTPHRASE \
\VAR{E}\SUB{3} \
\RIGHTPHRASE )
\\
\KEY{Rule} \quad
& \SEMREF{evaluate} \LEFTPHRASE \
\LEX{while} \ \VARREF{E}\SUB{1} \ \LEX{do} \ \VARREF{E}\SUB{2} \ \LEX{done} \
\RIGHTPHRASE = \\&\quad
\NAMEHYPER{../../../../../Funcons-beta/Computations/Normal}{Flowing}{while}
( \SEMREF{evaluate} \LEFTPHRASE \
\VAR{E}\SUB{1} \
\RIGHTPHRASE ,
\NAMEHYPER{../../../../../Funcons-beta/Computations/Normal}{Flowing}{effect}
( \SEMREF{evaluate} \LEFTPHRASE \
\VAR{E}\SUB{2} \
\RIGHTPHRASE ) )
\\
\KEY{Rule} \quad
& \SEMREF{evaluate} \LEFTPHRASE \
\LEX{for} \ \VARHYPER{../.}{OC-L-03-Names}{VN} \ \LEX{{=}} \ \VARREF{E}\SUB{1} \ \LEX{to} \ \VARREF{E}\SUB{2} \ \LEX{do} \ \VARREF{E}\SUB{3} \ \LEX{done} \
\RIGHTPHRASE = \\&\quad
\NAMEHYPER{../../../../../Funcons-beta/Computations/Normal}{Flowing}{effect}
( \\&\quad\quad \NAMEHYPER{../../../../../Funcons-beta/Computations/Normal}{Giving}{left-to-right-map}
( \\&\quad\quad\quad \NAMEHYPER{../../../../../Funcons-beta/Values/Abstraction}{Patterns}{case-match}
( \NAMEHYPER{../../../../../Funcons-beta/Values/Abstraction}{Patterns}{pattern-bind}
( \SEMHYPER{../.}{OC-L-03-Names}{value-name} \LEFTPHRASE \
\VAR{VN} \
\RIGHTPHRASE ),
\SEMREF{evaluate} \LEFTPHRASE \
\VAR{E}\SUB{3} \
\RIGHTPHRASE ), \\&\quad\quad\quad
\NAMEHYPER{../../../../../Funcons-beta/Values/Primitive}{Integers}{integer-sequence}
( \SEMREF{evaluate} \LEFTPHRASE \
\VAR{E}\SUB{1} \
\RIGHTPHRASE ,
\SEMREF{evaluate} \LEFTPHRASE \
\VAR{E}\SUB{2} \
\RIGHTPHRASE ) ) )
\\
\KEY{Rule} \quad
& \SEMREF{evaluate} \LEFTPHRASE \
\LEX{for} \ \VARHYPER{../.}{OC-L-03-Names}{VN} \ \LEX{{=}} \ \VARREF{E}\SUB{1} \ \LEX{downto} \ \VARREF{E}\SUB{2} \ \LEX{do} \ \VARREF{E}\SUB{3} \ \LEX{done} \
\RIGHTPHRASE = \\&\quad
\NAMEHYPER{../../../../../Funcons-beta/Computations/Normal}{Flowing}{effect}
( \\&\quad\quad \NAMEHYPER{../../../../../Funcons-beta/Computations/Normal}{Giving}{left-to-right-map}
( \\&\quad\quad\quad \NAMEHYPER{../../../../../Funcons-beta/Values/Abstraction}{Patterns}{case-match}
( \NAMEHYPER{../../../../../Funcons-beta/Values/Abstraction}{Patterns}{pattern-bind}
( \SEMHYPER{../.}{OC-L-03-Names}{value-name} \LEFTPHRASE \
\VAR{VN} \
\RIGHTPHRASE ),
\SEMREF{evaluate} \LEFTPHRASE \
\VAR{E}\SUB{3} \
\RIGHTPHRASE ), \\&\quad\quad\quad
\NAMEHYPER{../../../../../Funcons-beta/Values/Composite}{Sequences}{reverse} \
\NAMEHYPER{../../../../../Funcons-beta/Values/Primitive}{Integers}{integer-sequence}
( \SEMREF{evaluate} \LEFTPHRASE \
\VAR{E}\SUB{2} \
\RIGHTPHRASE ,
\SEMREF{evaluate} \LEFTPHRASE \
\VAR{E}\SUB{1} \
\RIGHTPHRASE ) ) )
\\
\KEY{Rule} \quad
& \SEMREF{evaluate} \LEFTPHRASE \
\VARREF{E}\SUB{1} \ \LEX{{;}} \ \VARREF{E}\SUB{2} \
\RIGHTPHRASE = \\&\quad
\NAMEHYPER{../../../../../Funcons-beta/Computations/Normal}{Flowing}{sequential}
( \NAMEHYPER{../../../../../Funcons-beta/Computations/Normal}{Flowing}{effect}
( \SEMREF{evaluate} \LEFTPHRASE \
\VAR{E}\SUB{1} \
\RIGHTPHRASE ),
\SEMREF{evaluate} \LEFTPHRASE \
\VAR{E}\SUB{2} \
\RIGHTPHRASE )
\\
\KEY{Rule} \quad
& \SEMREF{evaluate} \LEFTPHRASE \
\LEX{match} \ \VARREF{E} \ \LEX{with} \ \VARREF{PM} \
\RIGHTPHRASE = \\&\quad
\NAMEHYPER{../../../../../Funcons-beta/Computations/Normal}{Giving}{give}
( \\&\quad\quad \SEMREF{evaluate} \LEFTPHRASE \
\VAR{E} \
\RIGHTPHRASE , \\&\quad\quad
\NAMEHYPER{../../../../../Funcons-beta/Computations/Abnormal}{Failing}{else}
( \SEMREF{match} \LEFTPHRASE \
\VAR{PM} \
\RIGHTPHRASE ,
\NAMEHYPER{../../../../../Funcons-beta/Computations/Abnormal}{Throwing}{throw}
( \NAMEHYPER{../.}{OC-L-12-Core-Library}{ocaml-light-match-failure} ) ) )
\\
\KEY{Rule} \quad
& \SEMREF{evaluate} \LEFTPHRASE \
\LEX{function} \ \VARREF{PM} \
\RIGHTPHRASE = \\&\quad
\NAMEHYPER{../../../../../Funcons-beta/Values/Abstraction}{Functions}{function} \
\NAMEHYPER{../../../../../Funcons-beta/Values/Abstraction}{Generic}{closure}
( \\&\quad\quad \NAMEHYPER{../../../../../Funcons-beta/Computations/Abnormal}{Failing}{else}
( \SEMREF{match} \LEFTPHRASE \
\VAR{PM} \
\RIGHTPHRASE ,
\NAMEHYPER{../../../../../Funcons-beta/Computations/Abnormal}{Throwing}{throw}
( \NAMEHYPER{../.}{OC-L-12-Core-Library}{ocaml-light-match-failure} ) ) )
\\
\KEY{Rule} \quad
& \SEMREF{evaluate} \LEFTPHRASE \
\LEX{try} \ \VARREF{E} \ \LEX{with} \ \VARREF{PM} \
\RIGHTPHRASE = \\&\quad
\NAMEHYPER{../../../../../Funcons-beta/Computations/Abnormal}{Throwing}{handle-thrown}
( \\&\quad\quad \SEMREF{evaluate} \LEFTPHRASE \
\VAR{E} \
\RIGHTPHRASE , \\&\quad\quad
\NAMEHYPER{../../../../../Funcons-beta/Computations/Abnormal}{Failing}{else}
( \SEMREF{match} \LEFTPHRASE \
\VAR{PM} \
\RIGHTPHRASE ,
\NAMEHYPER{../../../../../Funcons-beta/Computations/Abnormal}{Throwing}{throw}
( \NAMEHYPER{../../../../../Funcons-beta/Computations/Normal}{Giving}{given} ) ) )
\\
\KEY{Rule} \quad
& \SEMREF{evaluate} \LEFTPHRASE \
\VARREF{LD} \ \LEX{in} \ \VARREF{E} \
\RIGHTPHRASE =
\NAMEHYPER{../../../../../Funcons-beta/Computations/Normal}{Binding}{scope}
( \SEMREF{define-values} \LEFTPHRASE \
\VAR{LD} \
\RIGHTPHRASE ,
\SEMREF{evaluate} \LEFTPHRASE \
\VAR{E} \
\RIGHTPHRASE )
\\
\KEY{Rule} \quad
& \SEMREF{evaluate} \LEFTPHRASE \
\LEX{assert} \ \VARREF{E} \
\RIGHTPHRASE = \\&\quad
\NAMEHYPER{../../../../../Funcons-beta/Computations/Abnormal}{Failing}{else}
( \NAMEHYPER{../../../../../Funcons-beta/Computations/Abnormal}{Failing}{check-true}
( \SEMREF{evaluate} \LEFTPHRASE \
\VAR{E} \
\RIGHTPHRASE ),
\NAMEHYPER{../../../../../Funcons-beta/Computations/Abnormal}{Throwing}{throw}
( \NAMEHYPER{../.}{OC-L-12-Core-Library}{ocaml-light-assert-failure} ) )
\end{align*}\]
Expression sequences and maps
\[\begin{align*}
\KEY{Semantics} \quad
& \SEMDECL{evaluate-comma-sequence} \LEFTPHRASE \ \_ : \LEFTGROUP \SYNREF{expr} \ \SYNREF{comma-expr}\STAR \RIGHTGROUP \ \RIGHTPHRASE
: ( \TO \NAMEHYPER{../.}{OC-L-02-Values}{implemented-values} )\PLUS
\\
\KEY{Rule} \quad
& \SEMREF{evaluate-comma-sequence} \LEFTPHRASE \
\VARREF{E}\SUB{1} \ \LEX{{,}} \ \VARREF{E}\SUB{2} \ \VARREF{CE}\STAR \
\RIGHTPHRASE = \\&\quad
\SEMREF{evaluate} \LEFTPHRASE \
\VAR{E}\SUB{1} \
\RIGHTPHRASE ,
\SEMREF{evaluate-comma-sequence} \LEFTPHRASE \
\VAR{E}\SUB{2} \ \VAR{CE}\STAR \
\RIGHTPHRASE
\\
\KEY{Rule} \quad
& \SEMREF{evaluate-comma-sequence} \LEFTPHRASE \
\VARREF{E} \
\RIGHTPHRASE =
\SEMREF{evaluate} \LEFTPHRASE \
\VAR{E} \
\RIGHTPHRASE
\end{align*}\]
\[\begin{align*}
\KEY{Semantics} \quad
& \SEMDECL{evaluate-semic-sequence} \LEFTPHRASE \ \_ : \LEFTGROUP \SYNREF{expr} \ \SYNREF{semic-expr}\STAR \RIGHTGROUP \ \RIGHTPHRASE
: ( \TO \NAMEHYPER{../.}{OC-L-02-Values}{implemented-values} )\PLUS
\\
\KEY{Rule} \quad
& \SEMREF{evaluate-semic-sequence} \LEFTPHRASE \
\VARREF{E}\SUB{1} \ \LEX{{;}} \ \VARREF{E}\SUB{2} \ \VARREF{SE}\STAR \
\RIGHTPHRASE = \\&\quad
\SEMREF{evaluate} \LEFTPHRASE \
\VAR{E}\SUB{1} \
\RIGHTPHRASE ,
\SEMREF{evaluate-semic-sequence} \LEFTPHRASE \
\VAR{E}\SUB{2} \ \VAR{SE}\STAR \
\RIGHTPHRASE
\\
\KEY{Rule} \quad
& \SEMREF{evaluate-semic-sequence} \LEFTPHRASE \
\VARREF{E} \
\RIGHTPHRASE =
\SEMREF{evaluate} \LEFTPHRASE \
\VAR{E} \
\RIGHTPHRASE
\end{align*}\]
\[\begin{align*}
\KEY{Semantics} \quad
& \SEMDECL{evaluate-field-sequence} \LEFTPHRASE \ \_ : \LEFTGROUP \SYNHYPER{../.}{OC-L-03-Names}{field} \ \LEX{{=}} \ \SYNREF{expr} \ \SYNREF{semic-field-expr}\STAR \RIGHTGROUP \ \RIGHTPHRASE
: ( \TO \NAMEHYPER{../../../../../Funcons-beta/Computations/Normal}{Binding}{envs} )\PLUS
\\
\KEY{Rule} \quad
& \SEMREF{evaluate-field-sequence} \LEFTPHRASE \
\VARHYPER{../.}{OC-L-03-Names}{F}\SUB{1} \ \LEX{{=}} \ \VARREF{E}\SUB{1} \ \LEX{{;}} \ \VARHYPER{../.}{OC-L-03-Names}{F}\SUB{2} \ \LEX{{=}} \ \VARREF{E}\SUB{2} \ \VARREF{SFE}\STAR \
\RIGHTPHRASE = \\&\quad
\{ \SEMHYPER{../.}{OC-L-03-Names}{field-name} \LEFTPHRASE \
\VAR{F}\SUB{1} \
\RIGHTPHRASE \mapsto
\SEMREF{evaluate} \LEFTPHRASE \
\VAR{E}\SUB{1} \
\RIGHTPHRASE \}, \\&\quad
\SEMREF{evaluate-field-sequence} \LEFTPHRASE \
\VAR{F}\SUB{2} \ \LEX{{=}} \ \VAR{E}\SUB{2} \ \VAR{SFE}\STAR \
\RIGHTPHRASE
\\
\KEY{Rule} \quad
& \SEMREF{evaluate-field-sequence} \LEFTPHRASE \
\VARHYPER{../.}{OC-L-03-Names}{F} \ \LEX{{=}} \ \VARREF{E} \
\RIGHTPHRASE =
\{ \SEMHYPER{../.}{OC-L-03-Names}{field-name} \LEFTPHRASE \
\VAR{F} \
\RIGHTPHRASE \mapsto
\SEMREF{evaluate} \LEFTPHRASE \
\VAR{E} \
\RIGHTPHRASE \}
\end{align*}\]
Matching
\[\begin{align*}
\KEY{Semantics} \quad
& \SEMDECL{match} \LEFTPHRASE \ \_ : \SYNREF{pattern-matching} \ \RIGHTPHRASE
: ( \NAMEHYPER{../.}{OC-L-02-Values}{implemented-values} \TO \NAMEHYPER{../.}{OC-L-02-Values}{implemented-values} )\PLUS
\\
\KEY{Rule} \quad
& \SEMREF{match} \LEFTPHRASE \
\VARHYPER{../.}{OC-L-06-Patterns}{P}\SUB{1} \ \LEX{{-}{>}} \ \VARREF{E}\SUB{1} \ \LEX{{|}} \ \VARHYPER{../.}{OC-L-06-Patterns}{P}\SUB{2} \ \LEX{{-}{>}} \ \VARREF{E}\SUB{2} \ \VARREF{PE}\STAR \
\RIGHTPHRASE = \\&\quad
\SEMREF{match} \LEFTPHRASE \
\VAR{P}\SUB{1} \ \LEX{{-}{>}} \ \VAR{E}\SUB{1} \
\RIGHTPHRASE ,
\SEMREF{match} \LEFTPHRASE \
\VAR{P}\SUB{2} \ \LEX{{-}{>}} \ \VAR{E}\SUB{2} \ \VAR{PE}\STAR \
\RIGHTPHRASE
\\
\KEY{Rule} \quad
& \SEMREF{match} \LEFTPHRASE \
\VARHYPER{../.}{OC-L-06-Patterns}{P} \ \LEX{{-}{>}} \ \VARREF{E} \
\RIGHTPHRASE =
\NAMEHYPER{../../../../../Funcons-beta/Values/Abstraction}{Patterns}{case-match}
( \SEMHYPER{../.}{OC-L-06-Patterns}{evaluate-pattern} \LEFTPHRASE \
\VAR{P} \
\RIGHTPHRASE ,
\SEMREF{evaluate} \LEFTPHRASE \
\VAR{E} \
\RIGHTPHRASE )
\end{align*}\]
Value definitions
\[\begin{align*}
\KEY{Semantics} \quad
& \SEMDECL{define-values} \LEFTPHRASE \ \_ : \SYNREF{let-definition} \ \RIGHTPHRASE
: \TO \NAMEHYPER{../../../../../Funcons-beta/Computations/Normal}{Binding}{environments}
\\
\KEY{Rule} \quad
& \SEMREF{define-values} \LEFTPHRASE \
\LEX{let} \ \VARREF{LB} \ \VARREF{ALB}\STAR \
\RIGHTPHRASE =
\SEMREF{define-values-nonrec} \LEFTPHRASE \
\VAR{LB} \ \VAR{ALB}\STAR \
\RIGHTPHRASE
\\
\KEY{Rule} \quad
& \SEMREF{define-values} \LEFTPHRASE \
\LEX{let~rec} \ \VARREF{LB} \ \VARREF{ALB}\STAR \
\RIGHTPHRASE = \\&\quad
\NAMEHYPER{../../../../../Funcons-beta/Computations/Normal}{Binding}{recursive}
( \\&\quad\quad \NAMEHYPER{../../../../../Funcons-beta/Values/Composite}{Sets}{set}
( \SEMREF{bound-ids-sequence} \LEFTPHRASE \
\VAR{LB} \ \VAR{ALB}\STAR \
\RIGHTPHRASE ), \\&\quad\quad
\SEMREF{define-values-nonrec} \LEFTPHRASE \
\VAR{LB} \ \VAR{ALB}\STAR \
\RIGHTPHRASE )
\end{align*}\]
\[\begin{align*}
\KEY{Semantics} \quad
& \SEMDECL{define-values-nonrec} \LEFTPHRASE \ \_ : \LEFTGROUP \SYNREF{let-binding} \ \SYNREF{and-let-binding}\STAR \RIGHTGROUP \ \RIGHTPHRASE
: \TO \NAMEHYPER{../../../../../Funcons-beta/Computations/Normal}{Binding}{environments}
\\
\KEY{Rule} \quad
& \SEMREF{define-values-nonrec} \LEFTPHRASE \
\VARREF{LB}\SUB{1} \ \LEX{and} \ \VARREF{LB}\SUB{2} \ \VARREF{ALB}\STAR \
\RIGHTPHRASE = \\&\quad
\NAMEHYPER{../../../../../Funcons-beta/Computations/Normal}{Binding}{collateral}
( \SEMREF{define-values-nonrec} \LEFTPHRASE \
\VAR{LB}\SUB{1} \
\RIGHTPHRASE ,
\SEMREF{define-values-nonrec} \LEFTPHRASE \
\VAR{LB}\SUB{2} \ \VAR{ALB}\STAR \
\RIGHTPHRASE )
\\
\KEY{Rule} \quad
& \SEMREF{define-values-nonrec} \LEFTPHRASE \
\VARHYPER{../.}{OC-L-06-Patterns}{P} \ \LEX{{=}} \ \VARREF{E} \
\RIGHTPHRASE = \\&\quad
\NAMEHYPER{../../../../../Funcons-beta/Computations/Abnormal}{Failing}{else}
( \\&\quad\quad \NAMEHYPER{../../../../../Funcons-beta/Values/Abstraction}{Patterns}{match}
( \SEMREF{evaluate} \LEFTPHRASE \
\VAR{E} \
\RIGHTPHRASE ,
\SEMHYPER{../.}{OC-L-06-Patterns}{evaluate-pattern} \LEFTPHRASE \
\VAR{P} \
\RIGHTPHRASE ), \\&\quad\quad
\NAMEHYPER{../../../../../Funcons-beta/Computations/Abnormal}{Throwing}{throw}
( \NAMEHYPER{../.}{OC-L-12-Core-Library}{ocaml-light-match-failure} ) )
\end{align*}\]
\[\begin{align*}
\KEY{Semantics} \quad
& \SEMDECL{bound-ids-sequence} \LEFTPHRASE \ \_ : \LEFTGROUP \SYNREF{let-binding} \ \SYNREF{and-let-binding}\STAR \RIGHTGROUP \ \RIGHTPHRASE
: \NAMEHYPER{../../../../../Funcons-beta/Computations/Normal}{Binding}{ids}\PLUS
\\
\KEY{Rule} \quad
& \SEMREF{bound-ids-sequence} \LEFTPHRASE \
\VARREF{LB} \
\RIGHTPHRASE =
\SEMREF{bound-id} \LEFTPHRASE \
\VAR{LB} \
\RIGHTPHRASE
\\
\KEY{Rule} \quad
& \SEMREF{bound-ids-sequence} \LEFTPHRASE \
\VARREF{LB}\SUB{1} \ \LEX{and} \ \VARREF{LB}\SUB{2} \ \VARREF{ALB}\STAR \
\RIGHTPHRASE = \\&\quad
\SEMREF{bound-id} \LEFTPHRASE \
\VAR{LB}\SUB{1} \
\RIGHTPHRASE ,
\SEMREF{bound-ids-sequence} \LEFTPHRASE \
\VAR{LB}\SUB{2} \ \VAR{ALB}\STAR \
\RIGHTPHRASE
\end{align*}\]
\[\begin{align*}
\KEY{Semantics} \quad
& \SEMDECL{bound-id} \LEFTPHRASE \ \_ : \SYNREF{let-binding} \ \RIGHTPHRASE
: \NAMEHYPER{../../../../../Funcons-beta/Computations/Normal}{Binding}{ids}
\\
\KEY{Rule} \quad
& \SEMREF{bound-id} \LEFTPHRASE \
\VARHYPER{../.}{OC-L-03-Names}{VN} \ \LEX{{=}} \ \VARREF{E} \
\RIGHTPHRASE =
\SEMHYPER{../.}{OC-L-03-Names}{value-name} \LEFTPHRASE \
\VAR{VN} \
\RIGHTPHRASE
\\
\KEY{Otherwise} \quad
& \SEMREF{bound-id} \LEFTPHRASE \
\VARREF{LB} \
\RIGHTPHRASE =
\NAMEHYPER{../../../../../Funcons-beta/Computations/Abnormal}{Failing}{fail}
\end{align*}\]
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