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 overrideTYPES : TYPES × TYPES → TYPES overrideTYPES(t1, t2) ≡ if getTYPESMapEntranceList(t1) = 〈〉 then t2 else if isinTYPES( getFirstTYPES(hd getTYPESMapEntranceList(t1)), domainTYPES(t2)) then overrideTYPES( mk_TYPES(tl getTYPESMapEntranceList(t1)), t2) else overrideTYPES( mk_TYPES(tl getTYPESMapEntranceList(t1)), mk_TYPES( getTYPESMapEntranceList(t2) 〈hd getTYPESMapEntranceList(t1)〉)) end end, isinTYPES : Binding × Binding ∗ → Bool isinTYPES(b, bl) ≡ if bl = 〈〉 then false else if getTextBindingTYPES(b) = getTextBindingTYPES(hd bl) then true else isinTYPES(b, tl bl) end end, getFirstTYPES : TYPESMapEntrance → Binding getFirstTYPES(me) ≡ first(me), getSecondTYPES : TYPESMapEntrance → ExpType getSecondTYPES(me) ≡ second(me), getTextBindingTYPES : Binding → Text getTextBindingTYPES(b) ≡ case b of IdBinding(id) → getText(id) end, 466
D.2. FORMAL SPECIFICATION OF THE TRANSFORMER IN RSL1 getTYPESMapEntranceList : TYPES → TYPESMapEntrance ∗ getTYPESMapEntranceList(types) ≡ map(types), getHeadTYPES : TYPES → TYPESMapEntrance getHeadTYPES(types) ≡ hd getTYPESMapEntranceList(types), /∗**** TYPES end ****∗/ /∗**** Id ****∗/ removeDupletsId : Id ∗ → Id ∗ removeDupletsId(il) ≡ if lengthId(il) = lengthId(elementsId(il)) then il else if isinId(hd il, elementsId(tl il)) then removeDupletsId(tl il) else 〈hd il〉 removeDupletsId(tl il) end end, makeId : Int → Id makeId(no) ≡ mk_Id( ′′ pa_ ′′ intToText(no)), intToText : Int → Text intToText(no) ≡ case no of 0 → ′′ 0 ′′ , 1 → ′′ 1 ′′ , 2 → ′′ 2 ′′ , 3 → ′′ 3 ′′ , 4 → ′′ 4 ′′ , 5 → ′′ 5 ′′ , 6 → ′′ 6 ′′ , 7 → ′′ 7 ′′ , 8 → ′′ 8 ′′ , 9 → ′′ 9 ′′ end, /∗**** Id end ****∗/ /∗**** Set Logic ****∗/ 467
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APPENDIX D. SPECIFICATION OF TRANSFORMER IN RSL1<br />
overrideTYPES : TYPES × TYPES → TYPES<br />
overrideTYPES(t1, t2) ≡<br />
if getTYPESMapEntranceList(t1) = 〈〉 then t2<br />
else<br />
if<br />
isinTYPES(<br />
getFirstTYPES(hd getTYPESMapEntranceList(t1)),<br />
domainTYPES(t2))<br />
then<br />
overrideTYPES(<br />
mk_TYPES(tl getTYPESMapEntranceList(t1)), t2)<br />
else<br />
overrideTYPES(<br />
mk_TYPES(tl getTYPESMapEntranceList(t1)),<br />
mk_TYPES(<br />
getTYPESMapEntranceList(t2) <br />
〈hd getTYPESMapEntranceList(t1)〉))<br />
end<br />
end,<br />
isinTYPES : Binding × Binding ∗ → Bool<br />
isinTYPES(b, bl) ≡<br />
if bl = 〈〉 then false<br />
else<br />
if<br />
getTextBindingTYPES(b) =<br />
getTextBindingTYPES(hd bl)<br />
then true<br />
else isinTYPES(b, tl bl)<br />
end<br />
end,<br />
getFirstTYPES : TYPESMapEntrance → Binding<br />
getFirstTYPES(me) ≡ first(me),<br />
getSecondTYPES : TYPESMapEntrance → ExpType<br />
getSecondTYPES(me) ≡ second(me),<br />
getTextBindingTYPES : Binding → Text<br />
getTextBindingTYPES(b) ≡<br />
case b <strong>of</strong><br />
IdBinding(id) → getText(id)<br />
end,<br />
466
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