On Fri, 11 Jan 2008 09:11:52 +0200, Lennart Augustsson <[EMAIL PROTECTED]> wrote:

Some people seem to think that == is an equality predicate.
This is a big source of confusion for them; until they realize that == is
just another function returning Bool they will make claims like [1..]==[1..]
having an unnatural result.
The == function is only vaguely related to the equality predicate in that it
is meant to be a computable approximation of semantic equality (but since
it's overloaded it can be anything, of course).


So let's imagine:

ones = 1 : ones

ones' = repeat 1
 where repeat n = n : repeat n

(==) :: Eq a => a -> a -> Bool

-- what is (y (y) ) by the way ?
-- how about ( y id ) ?

y f = f (y f).

ones :: Num a => [a]
ones = y (1 :)

repeat :: a -> [a]
repeat = \n -> y (n:)

ones' :: Num a => [a]
ones' = repeat 1 = (\n->y(n:)) 1 = y (1 : )

To be able to test them for equality, we must have Eq a.

So, the reason we cannot test them for equality is that we cannot test y (a : ) == y (a : ) where a == a is testable.




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