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Transformation of Applicative Specifications into Imperative ...

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D.2. FORMAL SPECIFICATION OF THE TRANSFORMER IN RSL1<br />

end,<br />

getFirstENV : ENVMapEntrance → Id<br />

getFirstENV(me) ≡ first(me),<br />

getSecondENV : ENVMapEntrance → Binding<br />

getSecondENV(me) ≡ second(me),<br />

getENVMapEntranceList : ENV → ENVMapEntrance ∗<br />

getENVMapEntranceList(env) ≡ map(env),<br />

getHeadENV : ENV → ENVMapEntrance<br />

getHeadENV(env) ≡ hd getENVMapEntranceList(env),<br />

/∗**** ENV end ****∗/<br />

/∗**** TYPES ****∗/<br />

makeTYPES : LetBinding × ExpType × TRANS → TYPES<br />

makeTYPES(lb, et, trans) ≡<br />

case lb <strong>of</strong><br />

MakeBinding(b) → makeTYPESBinding(b, et, trans),<br />

→ (mk_TYPES(〈〉))<br />

end,<br />

makeTYPESBinding :<br />

Binding × ExpType × TRANS → TYPES<br />

makeTYPESBinding(b, et, trans) ≡<br />

case b <strong>of</strong><br />

IdBinding(id) →<br />

mk_TYPES(〈mk_TYPESMapEntrance(b, et)〉),<br />

Make_ProductBinding(pb) →<br />

makeTYPESBindingList(<br />

binding_list(pb),<br />

expTypeToExpTypeList(<br />

removeBrackets(et),<br />

lengthBinding(binding_list(pb))), trans)<br />

end,<br />

makeTYPESBindingList :<br />

Binding ∗ × ExpType ∗ × TRANS → TYPES<br />

makeTYPESBindingList(bl, etl, trans) ≡<br />

if bl = 〈〉 then mk_TYPES(〈〉)<br />

else<br />

463

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