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 getAccessObsListList : Id ∗ × ValueExpr ∗ × ExpType ∗ × FUNC × TRANS → AccessResult getAccessObsListList(idset, vel, etl, func, trans) ≡ if vel = 〈〉 then mk_AccessResult(〈〉, idset) else mk_AccessResult( removeDuplets( accessList( getAccessObs( idset, hd vel, hd etl, func, trans)) accessList( getAccessObsListList( accessIdSet( getAccessObs( idset, hd vel, hd etl, func, trans)), tl vel, tl etl, func, trans))), accessIdSet( getAccessObsListList( accessIdSet( getAccessObs( idset, hd vel, hd etl, func, trans)), tl vel, tl etl, func, trans))) end, getAccessObsLetDefList : Id ∗ × LetDef ∗ × FUNC × TRANS → AccessResult getAccessObsLetDefList(idset, ldl, func, trans) ≡ if ldl = 〈〉 then mk_AccessResult(〈〉, idset) else mk_AccessResult( removeDuplets( accessList( getAccessObs( idset, value_expr(hd ldl), Unknown, func, trans)) accessList( getAccessObsLetDefList( accessIdSet( getAccessObs( 432
D.2. FORMAL SPECIFICATION OF THE TRANSFORMER IN RSL1 ) end, idset, value_expr(hd ldl), Unknown, func, trans)), tl ldl, func, trans))), accessIdSet( getAccessObsLetDefList( accessIdSet( getAccessObs( idset, value_expr(hd ldl), Unknown, func, trans)), tl ldl, func, trans)) getAccessObsCaseBranch : Id ∗ × CaseBranch ∗ × ExpType × FUNC × TRANS → AccessResult getAccessObsCaseBranch(idset, cbl, et, func, trans) ≡ if cbl = 〈〉 then mk_AccessResult(〈〉, idset) else mk_AccessResult( removeDuplets( accessList( getAccessObs( idset, value_expr(hd cbl), et, func, trans)) accessList( getAccessObsCaseBranch( accessIdSet( getAccessObs( idset, value_expr(hd cbl), et, func, trans)), tl cbl, et, func, trans))), accessIdSet( getAccessObsCaseBranch( accessIdSet( getAccessObs( idset, value_expr(hd cbl), et, func, trans)), tl cbl, et, func, trans))) end, getAccessGen : Id ∗ × ValueExpr × ExpType × FUNC × TRANS → AccessResult 433
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D.2. FORMAL SPECIFICATION OF THE TRANSFORMER IN RSL1<br />
)<br />
end,<br />
idset, value_expr(hd ldl),<br />
Unknown, func, trans)), tl ldl,<br />
func, trans))),<br />
accessIdSet(<br />
getAccessObsLetDefList(<br />
accessIdSet(<br />
getAccessObs(<br />
idset, value_expr(hd ldl), Unknown,<br />
func, trans)), tl ldl, func, trans))<br />
getAccessObsCaseBranch :<br />
Id ∗ × CaseBranch ∗ × ExpType × FUNC ×<br />
TRANS →<br />
AccessResult<br />
getAccessObsCaseBranch(idset, cbl, et, func, trans) ≡<br />
if cbl = 〈〉 then mk_AccessResult(〈〉, idset)<br />
else<br />
mk_AccessResult(<br />
removeDuplets(<br />
accessList(<br />
getAccessObs(<br />
idset, value_expr(hd cbl), et, func,<br />
trans)) <br />
accessList(<br />
getAccessObsCaseBranch(<br />
accessIdSet(<br />
getAccessObs(<br />
idset, value_expr(hd cbl), et,<br />
func, trans)), tl cbl, et, func,<br />
trans))),<br />
accessIdSet(<br />
getAccessObsCaseBranch(<br />
accessIdSet(<br />
getAccessObs(<br />
idset, value_expr(hd cbl), et,<br />
func, trans)), tl cbl, et, func,<br />
trans)))<br />
end,<br />
getAccessGen :<br />
Id ∗ × ValueExpr × ExpType × FUNC × TRANS →<br />
AccessResult<br />
433
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