Hello!

At the end of this message is a program with a simple expression type, and a class `ToExpr` that generalizes expressions to arbitrary Haskell types. Every node in `Expr` is annotated with some abstract information. The program raises the following type error:

test.hs:13:5:
    Couldn't match type `(,) a' with `(,) (a, a)'
    Inaccessible code in the instance declaration
    In the instance declaration for `ToExpr (a, b)'

It seems that the mere existence of the constraint

  info (a,b) ~ (info a, info b)

causes this error. I was hoping that this constraint would make it possible to construct the value (ia,ib) in the class instance, which is otherwise not allowed.

Note: I don't want to make `info` an associated type. The idea is to make this work with any type function `info` that fulfills the above constraint.

Is there any way to make this work?

/ Emil


--------------------

{-# LANGUAGE UndecidableInstances #-}

data Expr info a
  where
    Int  :: info a     -> Int -> Expr info a
    Pair :: info (a,b) -> Expr info a -> Expr info b -> Expr info (a,b)

getInfo :: Expr info a -> info a
getInfo (Int info _)    = info
getInfo (Pair info _ _) = info

class ToExpr a
  where
    type Internal a
    toExpr :: a -> Expr info (Internal a)

instance
    ( ToExpr a
    , ToExpr b
    , info (a,b) ~ (info a, info b)
    ) =>
      ToExpr (a,b)
  where
    type Internal (a,b) = (Internal a, Internal b)
    toExpr (a,b) = Pair (ia,ib) (toExpr a) (toExpr b)
      where
        ia = getInfo a
        ib = getInfo b



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