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import prelude
import tree
derive Eq Tree
derive Compos Tree
-- When the Transfer compiler gets meta variable inference,
-- we can write:
{-
aggreg : (A : Type) -> Tree A -> Tree A
aggreg _ t =
case t of
ConjS c s1 s2 ->
case (aggreg ? s1, aggreg ? s2) of
(Pred np1 vp1, Pred np2 vp2) | np1 == np2 ->
Pred np1 (ConjVP c vp1 vp2)
(Pred np1 vp1, Pred np2 vp2) | vp1 == vp2 ->
Pred (ConjNP c np1 np2) vp1
(s1',s2') -> ConjS c s1' s2'
_ -> composOp ? ? ? ? aggreg t
-}
-- Adding hidden arguments, we could write something like:
{-
aggreg : (A : Type) => Tree A -> Tree A
aggreg t =
case t of
ConjS c s1 s2 ->
case (aggreg s1, aggreg s2) of
(Pred np1 vp1, Pred np2 vp2) | np1 == np2 ->
Pred np1 (ConjVP c vp1 vp2)
(Pred np1 vp1, Pred np2 vp2) | vp1 == vp2 ->
Pred (ConjNP c np1 np2) vp1
(s1',s2') -> ConjS c s1' s2'
_ -> composOp aggreg t
-}
-- For now, here's what we have to do:
aggreg : (A : Type) -> Tree A -> Tree A
aggreg _ t =
case t of
ConjS c s1 s2 ->
case (aggreg ? s1, aggreg ? s2) of
(Pred np1 vp1, Pred np2 vp2) | eq_NP np1 np2 ->
Pred np1 (ConjVP c vp1 vp2)
(Pred np1 vp1, Pred np2 vp2) | eq_VP vp1 vp2 ->
Pred (ConjNP c np1 np2) vp1
(s1',s2') -> ConjS c s1' s2'
_ -> composOp ? ? compos_Tree ? aggreg t
-- aggreg specialized for Tree S
aggregS : Tree S -> Tree S
aggregS = aggreg S
-- equality specialized for Tree NP
eq_NP : Tree NP -> Tree NP -> Bool
eq_NP = eq NP (eq_Tree NP)
-- equality specialized for Tree VP
eq_VP : Tree VP -> Tree VP -> Bool
eq_VP = eq VP (eq_Tree VP)
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