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Transformation of Applicative Specifications into Imperative ...

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

case tem <strong>of</strong><br />

FiniteMapTypeExpr(tedom, terange) →<br />

or(includesTRANSName(Known(tedom), idset),<br />

includesTRANSName(<br />

Known(terange), idset)),<br />

InfiniteMapTypeExpr(tedom, terange) →<br />

or(includesTRANSName(Known(tedom), idset),<br />

includesTRANSName(<br />

Known(terange), idset))<br />

end,<br />

FunctionTypeExpr(arg, fa, res) → false,<br />

BracketedTypeExpr(bte) →<br />

includesTRANSName(Known(bte), idset)<br />

end,<br />

Unknown → false<br />

end,<br />

includesTRANSNameList :<br />

TypeExpr ∗ × Id ∗ → Bool<br />

includesTRANSNameList(tel, idset) ≡<br />

if tel = 〈〉 then false<br />

else<br />

or(includesTRANSName(Known(hd tel), idset),<br />

includesTRANSNameList(tl tel, idset))<br />

end,<br />

getTRANS : ExpType × TRANS → ValueExpr<br />

getTRANS(et, trans) ≡<br />

case et <strong>of</strong><br />

Known(te) →<br />

case te <strong>of</strong><br />

TypeName(tn) →<br />

Make_ValueOrVariableName(<br />

mk_ValueOrVariableName(<br />

getMapValueTRANS(trans, tn)))<br />

end<br />

end,<br />

getTRANSId : ExpType × TRANS → Id<br />

getTRANSId(et, trans) ≡<br />

case et <strong>of</strong><br />

Known(te) →<br />

case te <strong>of</strong><br />

TypeName(tn) → getMapValueTRANS(trans, tn)<br />

447

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