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 getFirstFromPair : ValueExprPair → ValueExpr getFirstFromPair(vep) ≡ first(vep), getSecondFromPair : ValueExprPair → ValueExpr getSecondFromPair(vep) ≡ second(vep), getExpType : ExpType → ExpType getExpType(et) ≡ et, getAccessIdSet : AccessResult → Id ∗ getAccessIdSet(ar) ≡ accessIdSet(ar), ifExprToList : IfExpr → ValueExpr ∗ ifExprToList(ie) ≡ 〈getCondition(ie)〉 elsifToList(elsif_list(ie)) 〈getElseCase(ie)〉, getCondition : IfExpr → ValueExpr getCondition(ie) ≡ condition(ie), getElseCase : IfExpr → ValueExpr getElseCase(ie) ≡ else_case(ie), emptyVE : Unit → ValueExpr ∗ emptyVE() ≡ tl 〈Make_ValueLiteral(ValueLiteralInteger( ′′ 1 ′′ ))〉, getElsifCondition : Elsif → ValueExpr getElsifCondition(ei) ≡ condition(ei), getElsifCase : Elsif → ValueExpr getElsifCase(ei) ≡ elsif_case(ei), elementsId : Id ∗ → Id ∗ elementsId(idl) ≡ if idl = 〈〉 then idl else if isinId(getHeadId(idl), getTailId(idl)) then elementsId(getTailId(idl)) else 〈getHeadId(idl)〉 elementsId(getTailId(idl)) end end, 472
D.2. FORMAL SPECIFICATION OF THE TRANSFORMER IN RSL1 end interId : Id ∗ × Id ∗ → Id ∗ interId(idl1, idl2) ≡ if idl1 = 〈〉 then idl1 else if isinId(hd idl1, idl2) then 〈hd idl1〉 interId(tl idl1, idl2) else interId(tl idl1, idl2) end end, getHeadId : Id ∗ → Id getHeadId(idl) ≡ hd idl, getTailId : Id ∗ → Id ∗ getTailId(idl) ≡ tl idl, emptyId : Unit → Id ∗ emptyId() ≡ tl 〈mk_Id( ′′ DUMMY ′′ )〉, emptyList : Binding ∗ → Bool emptyList(bl) ≡ bl = 〈〉, getTextId : Id → Text getTextId(id) ≡ getText(id) 473
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- Page 508 and 509: APPENDIX E. ANTLR GRAMMAR ; { ve3 =
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APPENDIX D. SPECIFICATION OF TRANSFORMER IN RSL1<br />
getFirstFromPair : ValueExprPair → ValueExpr<br />
getFirstFromPair(vep) ≡ first(vep),<br />
getSecondFromPair : ValueExprPair → ValueExpr<br />
getSecondFromPair(vep) ≡ second(vep),<br />
getExpType : ExpType → ExpType<br />
getExpType(et) ≡ et,<br />
getAccessIdSet : AccessResult → Id ∗<br />
getAccessIdSet(ar) ≡ accessIdSet(ar),<br />
ifExprToList : IfExpr → ValueExpr ∗<br />
ifExprToList(ie) ≡<br />
〈getCondition(ie)〉 elsifToList(elsif_list(ie)) <br />
〈getElseCase(ie)〉,<br />
getCondition : IfExpr → ValueExpr<br />
getCondition(ie) ≡ condition(ie),<br />
getElseCase : IfExpr → ValueExpr<br />
getElseCase(ie) ≡ else_case(ie),<br />
emptyVE : Unit → ValueExpr ∗<br />
emptyVE() ≡<br />
tl 〈Make_ValueLiteral(ValueLiteralInteger( ′′ 1 ′′ ))〉,<br />
getElsifCondition : Elsif → ValueExpr<br />
getElsifCondition(ei) ≡ condition(ei),<br />
getElsifCase : Elsif → ValueExpr<br />
getElsifCase(ei) ≡ elsif_case(ei),<br />
elementsId : Id ∗ → Id ∗<br />
elementsId(idl) ≡<br />
if idl = 〈〉 then idl<br />
else<br />
if isinId(getHeadId(idl), getTailId(idl))<br />
then elementsId(getTailId(idl))<br />
else<br />
〈getHeadId(idl)〉 elementsId(getTailId(idl))<br />
end<br />
end,<br />
472
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