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 ValueExpr ∗ × ExpType ∗ × TYPINGS × FUNC × TRANS × ENV × TYPES → BOOL_ENV_TYPES CheckValueExprList( vel, etl, typings, func, trans, env, types) ≡ if vel = 〈〉 then mk_BOOL_ENV_TYPES(true, env, types) else if not( bool( CheckValueExpr( hd vel, hd etl, typings, func, trans, env, types))) then mk_BOOL_ENV_TYPES( bool( CheckValueExpr( hd vel, hd etl, typings, func, trans, env, types)), envMap( CheckValueExpr( hd vel, hd etl, typings, func, trans, env, types)), typesMap( CheckValueExpr( hd vel, hd etl, typings, func, trans, env, types))) else CheckValueExprList( tl vel, tl etl, typings, func, trans, envMap( CheckValueExpr( hd vel, hd etl, typings, func, trans, env, types)), typesMap( CheckValueExpr( hd vel, hd etl, typings, func, trans, env, types))) end end, CheckSetExpr : SetExpr × ExpType × TYPINGS × FUNC × TRANS × 330
D.2. FORMAL SPECIFICATION OF THE TRANSFORMER IN RSL1 ENV × TYPES → BOOL_ENV_TYPES CheckSetExpr(se, et, typings, func, trans, env, types) ≡ case se of RangedSetExpr(fve, sve) → CheckValueExprList( 〈fve, sve〉, 〈et, et〉, typings, func, trans, env, types), EnumeratedSetExpr(ovel) → CheckOptValueExprList( ovel, et, typings, func, trans, env, types), ComprehendedSetExpr(ve, typlist, or) → mk_BOOL_ENV_TYPES( and( bool( CheckValueExpr( ve, et, typings, func, trans, env, types)), bool( CheckOptRestriction( or, Known(TypeLiteral(BOOL)), typings, func, trans, envMap( CheckValueExpr( ve, et, typings, func, trans, env, types)), typesMap( CheckValueExpr( ve, et, typings, func, trans, env, types))))), envMap( CheckOptRestriction( or, Known(TypeLiteral(BOOL)), typings, func, trans, envMap( CheckValueExpr( ve, et, typings, func, trans, env, types)), typesMap( CheckValueExpr( ve, et, typings, func, trans, env, types)))), typesMap( CheckOptRestriction( 331
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APPENDIX D. SPECIFICATION OF TRANSFORMER IN RSL1<br />
ValueExpr ∗ × ExpType ∗ × TYPINGS × FUNC ×<br />
TRANS × ENV × TYPES →<br />
BOOL_ENV_TYPES<br />
CheckValueExprList(<br />
vel, etl, typings, func, trans, env, types) ≡<br />
if vel = 〈〉<br />
then mk_BOOL_ENV_TYPES(true, env, types)<br />
else<br />
if<br />
not(<br />
bool(<br />
CheckValueExpr(<br />
hd vel, hd etl, typings, func, trans,<br />
env, types)))<br />
then<br />
mk_BOOL_ENV_TYPES(<br />
bool(<br />
CheckValueExpr(<br />
hd vel, hd etl, typings, func, trans,<br />
env, types)),<br />
envMap(<br />
CheckValueExpr(<br />
hd vel, hd etl, typings, func, trans,<br />
env, types)),<br />
typesMap(<br />
CheckValueExpr(<br />
hd vel, hd etl, typings, func, trans,<br />
env, types)))<br />
else<br />
CheckValueExprList(<br />
tl vel, tl etl, typings, func, trans,<br />
envMap(<br />
CheckValueExpr(<br />
hd vel, hd etl, typings, func, trans,<br />
env, types)),<br />
typesMap(<br />
CheckValueExpr(<br />
hd vel, hd etl, typings, func, trans,<br />
env, types)))<br />
end<br />
end,<br />
CheckSetExpr :<br />
SetExpr × ExpType × TYPINGS × FUNC × TRANS ×<br />
330
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