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 end, typesMap( TRValueExpr( first(ve), tedom(et), func, trans, types))))))), typesMap( TROptRestriction( or, Known(TypeLiteral(BOOL)), func, trans, typesMap( TRValueExpr( second(ve), terange(et), func, trans, typesMap( TRValueExpr( first(ve), tedom(et), func, trans, types))))))) TROptValueExprList : OptionalValueExprList × ExpType × FUNC × TRANS × TYPES → OVEL_TYPES TROptValueExprList(ovel, et, func, trans, types) ≡ case ovel of ValueExprList(vel) → mk_OVEL_TYPES( ValueExprList( valueExprList( TRValueExprListOpt( vel, et, func, trans, types))), typesMap( TRValueExprListOpt( vel, et, func, trans, types))), NoValueExprList → mk_OVEL_TYPES(ovel, types) end, TROptValueExprPairList : OptionalValueExprPairList × MapType × FUNC × TRANS × TYPES → OVEPL_TYPES TROptValueExprPairList(ovel, et, func, trans, types) ≡ case ovel of ValueExprPairList(vel) → mk_OVEPL_TYPES( 388
D.2. FORMAL SPECIFICATION OF THE TRANSFORMER IN RSL1 ValueExprPairList( valueExprPairList( TRValueExprPairListOpt( vel, et, func, trans, types))), typesMap( TRValueExprPairListOpt( vel, et, func, trans, types))), NoValueExprPairList → mk_OVEPL_TYPES(ovel, types) end, TRValueExprListOpt : ValueExpr ∗ × ExpType × FUNC × TRANS × TYPES → VEL_TYPES TRValueExprListOpt(vel, et, func, trans, types) ≡ if vel = 〈〉 then mk_VEL_TYPES(〈〉, types) else mk_VEL_TYPES( 〈getValueExpr( TRValueExpr(hd vel, et, func, trans, types) )〉 valueExprList( TRValueExprList( tl vel, et, func, trans, typesMap( TRValueExpr( hd vel, et, func, trans, types)))), typesMap( TRValueExprList( tl vel, et, func, trans, typesMap( TRValueExpr( hd vel, et, func, trans, types))))) end, TRValueExprPairListOpt : ValueExprPair ∗ × MapType × FUNC × TRANS × TYPES → VEPL_TYPES TRValueExprPairListOpt(vel, et, func, trans, types) ≡ if vel = 〈〉 then mk_VEPL_TYPES(〈〉, types) else mk_VEPL_TYPES( 〈mk_ValueExprPair( valueExpr( 389
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APPENDIX D. SPECIFICATION OF TRANSFORMER IN RSL1<br />
end,<br />
typesMap(<br />
TRValueExpr(<br />
first(ve), tedom(et),<br />
func, trans, types))))))),<br />
typesMap(<br />
TROptRestriction(<br />
or, Known(TypeLiteral(BOOL)), func,<br />
trans,<br />
typesMap(<br />
TRValueExpr(<br />
second(ve), terange(et), func,<br />
trans,<br />
typesMap(<br />
TRValueExpr(<br />
first(ve), tedom(et), func,<br />
trans, types)))))))<br />
TROptValueExprList :<br />
OptionalValueExprList × ExpType × FUNC × TRANS ×<br />
TYPES →<br />
OVEL_TYPES<br />
TROptValueExprList(ovel, et, func, trans, types) ≡<br />
case ovel <strong>of</strong><br />
ValueExprList(vel) →<br />
mk_OVEL_TYPES(<br />
ValueExprList(<br />
valueExprList(<br />
TRValueExprListOpt(<br />
vel, et, func, trans, types))),<br />
typesMap(<br />
TRValueExprListOpt(<br />
vel, et, func, trans, types))),<br />
NoValueExprList → mk_OVEL_TYPES(ovel, types)<br />
end,<br />
TROptValueExprPairList :<br />
OptionalValueExprPairList × MapType × FUNC ×<br />
TRANS × TYPES →<br />
OVEPL_TYPES<br />
TROptValueExprPairList(ovel, et, func, trans, types) ≡<br />
case ovel <strong>of</strong><br />
ValueExprPairList(vel) →<br />
mk_OVEPL_TYPES(<br />
388
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