Transformation of Applicative Specifications into Imperative ...
Transformation of Applicative Specifications into Imperative ... Transformation of Applicative Specifications into Imperative ...
APPENDIX D. SPECIFICATION OF TRANSFORMER IN RSL1 BOOL_ENV_TYPES CheckCaseBranchList( cbl, et, typings, func, trans, env, types) ≡ if cbl = 〈〉 then mk_BOOL_ENV_TYPES(true, env, types) else if and( bool( CheckPattern( pattern(hd cbl), func, trans, env, types )), bool( CheckValueExpr( value_expr(hd cbl), et, typings, func, trans, envMap( CheckPattern( pattern(hd cbl), func, trans, env, types)), typesMap( CheckPattern( pattern(hd cbl), func, trans, env, types))))) then CheckCaseBranchList( tl cbl, et, typings, func, trans, envMap( CheckPattern( pattern(hd cbl), func, trans, env, types )), typesMap( CheckValueExpr( value_expr(hd cbl), et, typings, func, trans, envMap( CheckPattern( pattern(hd cbl), func, trans, env, types)), typesMap( CheckPattern( pattern(hd cbl), func, trans, env, types))))) else 352
D.2. FORMAL SPECIFICATION OF THE TRANSFORMER IN RSL1 mk_BOOL_ENV_TYPES( false, envMap( CheckPattern( pattern(hd cbl), func, trans, env, types )), typesMap( CheckValueExpr( value_expr(hd cbl), et, typings, func, trans, envMap( CheckPattern( pattern(hd cbl), func, trans, env, types)), typesMap( CheckPattern( pattern(hd cbl), func, trans, env, types))))) end end, CheckPattern : Pattern × FUNC × TRANS × ENV × TYPES → BOOL_ENV_TYPES CheckPattern(p, func, trans, env, types) ≡ case p of ValueLiteralPattern(vl) → mk_BOOL_ENV_TYPES(true, env, types), NamePattern(id, optid) → if isinId(id, domainFUNC(func)) then mk_BOOL_ENV_TYPES(false, env, types) else if not( isinBinding( IdBinding(id), domainTYPES(types))) then mk_BOOL_ENV_TYPES(true, env, types) else if checkTRANS( getMapValueTYPES(types, IdBinding(id)), domainTRANS(trans)) then /∗The value expression is of the type of interest. 353
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APPENDIX D. SPECIFICATION OF TRANSFORMER IN RSL1<br />
BOOL_ENV_TYPES<br />
CheckCaseBranchList(<br />
cbl, et, typings, func, trans, env, types) ≡<br />
if cbl = 〈〉<br />
then mk_BOOL_ENV_TYPES(true, env, types)<br />
else<br />
if<br />
and(<br />
bool(<br />
CheckPattern(<br />
pattern(hd cbl), func, trans, env, types<br />
)),<br />
bool(<br />
CheckValueExpr(<br />
value_expr(hd cbl), et, typings, func,<br />
trans,<br />
envMap(<br />
CheckPattern(<br />
pattern(hd cbl), func, trans,<br />
env, types)),<br />
typesMap(<br />
CheckPattern(<br />
pattern(hd cbl), func, trans,<br />
env, types)))))<br />
then<br />
CheckCaseBranchList(<br />
tl cbl, et, typings, func, trans,<br />
envMap(<br />
CheckPattern(<br />
pattern(hd cbl), func, trans, env, types<br />
)),<br />
typesMap(<br />
CheckValueExpr(<br />
value_expr(hd cbl), et, typings, func,<br />
trans,<br />
envMap(<br />
CheckPattern(<br />
pattern(hd cbl), func, trans,<br />
env, types)),<br />
typesMap(<br />
CheckPattern(<br />
pattern(hd cbl), func, trans,<br />
env, types)))))<br />
else<br />
352
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