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Transformation of Applicative Specifications into Imperative ...

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

/∗**** Bindings ****∗/<br />

makeBinding : Binding ∗ → Binding<br />

makeBinding(bl) ≡<br />

if lengthBinding(bl) = 1 then hd bl<br />

else Make_ProductBinding(mk_ProductBinding(bl))<br />

end,<br />

makeLetBinding :<br />

Int × Int × Binding ∗ × ValueExpr ∗ →<br />

BINDING_VE<br />

makeLetBinding(length, counter, b, vel) ≡<br />

if length = 0 then mk_BINDING_VE(b, vel)<br />

else<br />

makeLetBinding(<br />

minusOne(length), counter + 1,<br />

b 〈IdBinding(makeId(counter))〉,<br />

vel <br />

〈Make_ValueOrVariableName(<br />

mk_ValueOrVariableName(makeId(counter)))〉)<br />

end,<br />

getLengthLetBinding : LetBinding → Int<br />

getLengthLetBinding(lb) ≡<br />

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

MakeBinding(b) → getLengthBinding(b),<br />

MakeRecordPattern(vn, p) → 1,<br />

MakeListPatternLet(lp) → 1<br />

end,<br />

getLengthBinding : Binding → Int<br />

getLengthBinding(b) ≡<br />

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

IdBinding(id) → 1,<br />

Make_ProductBinding(pb) →<br />

getLengthBindingList(binding_list(pb))<br />

end,<br />

getLengthBindingList : Binding ∗ → Int<br />

getLengthBindingList(bl) ≡<br />

if bl = 〈〉 then 0<br />

else<br />

case hd bl <strong>of</strong><br />

443

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