On Wed, 14 May 2008, David Menendez wrote:

On Tue, May 13, 2008 at 9:06 PM, Ronald Guida <[EMAIL PROTECTED]> wrote:
I have a few questions about commutative monads and applicative functors.

>From what I have read about applicative functors, they are weaker than
 monads because with a monad, I can use the results of a computation to
 select between alternative future computations and their side effects,
 whereas with an applicative functor, I can only select between the
 results of computations, while the structure of those computations and
 their side effects are fixed in advance.

 But then there are commutative monads.  I'm not exactly sure what a
 commutative monad is, but my understanding is that in a commutative
 monad the order of side effects does not matter.

 This leads me to wonder, are commutative monads still stronger than
 applicative functors, or are they equivalent?

 And by the way, what exactly is a commutative monad?

Interestingly I used a Writer monad with a commutative monoid recently, which is also an example of a commutative monad.
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