[Haskell-cafe] The container problem

David Menendez dave at zednenem.com
Fri Sep 26 18:12:04 EDT 2008

On Fri, Sep 26, 2008 at 5:37 PM, Andrew Coppin
<andrewcoppin at btinternet.com> wrote:
> As already noted, Data.Set *should* be a Monad, but can't be. The type
> system won't allow it. (And I know I'm not the first person to notice
> this...)

I wouldn't say that. It's important to remember that Haskell class
Monad does not, and can not, represent *all* monads, only (strong)
monads built on a functor from the category of Haskell types and
functions to itself.

Data.Set is a functor from the category of Haskell types *with
decidable ordering* and *order-preserving* functions to itself. That's
not the same category, although it is closely related.

Dave Menendez <dave at zednenem.com>

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