File: RepMin.lg

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{-

The Rep-Min problem: the example demonstrates how to simulate
inherited attributes using functional (synthesized) attributes.

	frown -s RepMin.lg

Try

	start [Num 47, LPar, Num 11, RPar]


-}

> module RepMin
> where
>
> data Tree     =  Leaf Integer
>               |  Fork Tree Tree
>                  deriving (Show)
>
> data Terminal =  Num Integer
>               |  LPar
>               |  RPar
>
> type Result   =  Maybe
>
> %{
>
> Terminal      =         Num {Integer}
>               |  "(" =  LPar
>               |  ")" =  RPar;
>
> Nonterminal   = *start {Tree}
>               |  expr {Integer -> (Tree, Integer)};
>
> start { let (t, m) = f m in t }
> : expr {f};
>
> expr { \ m -> (Leaf m, i) }
> :  Num {i};
> expr { \ m -> let { (tl, ml) = l m
>                   ; (tr, mr) = r m }
>               in (Fork tl tr, ml `min` mr) }
> :  expr {l}, "(", expr {r}, ")";
>      
>
> }%
>
> frown ts                      =  fail "syntax error"