Difference between revisions of "Monad"
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* [http://www.loria.fr/~kow/monads/index.html Of monads and space suits] | * [http://www.loria.fr/~kow/monads/index.html Of monads and space suits] | ||
* [http://sigfpe.blogspot.com/2006/08/you-could-have-invented-monads-and.html You could have invented monads] | * [http://sigfpe.blogspot.com/2006/08/you-could-have-invented-monads-and.html You could have invented monads] | ||
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== Monad Reference Guides == | == Monad Reference Guides == |
Revision as of 10:48, 4 September 2006
import Control.Monad |
The Monad class is defined like this:
class Monad m where
(>>=) :: m a -> (a -> m b) -> m b
(>>) :: m a -> m b -> m b
return :: a -> m a
fail :: String -> m a
All instances of Monad should obey:
return a >>= k = k a
m >>= return = m
m >>= (\x -> k x >>= h) = (m >>= k) >>= h
Any Monad can be made a Functor by defining
fmap ab ma = ma >>= (return . ab)
However, the Functor class is not a superclass of the Monad class. See Functor hierarchy proposal.
Monad Tutorials
Monads are known for being deeply confusing to lots of people, so there are plenty of tutorials specifically related to monads. Each takes a different approach to Monads, and hopefully everyone will find something useful.
- Monads as Containers
- All About Monads
- Simple monad examples
- Of monads and space suits
- You could have invented monads
- Meet Bob The Monadic Lover
Monad Reference Guides
An explanation of the basic Monad functions, with examples, can be found in the reference guide A tour of the Haskell Monad functions, by Henk-Jan van Tuyl.