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The MonadPlus class is defined like this:
class (Monad m) => MonadPlus m where mzero :: m a mplus :: m a -> m a -> m a
The precise set of rules that MonadPlus should obey is not agreed upon.
- Monoid — andmplusform a monoid:mzero
mplus mzero a = a mplus a mzero = a mplus (mplus a b) c = mplus a (mplus b c)
- Left Zero — is a left zero for >>=:mzero
mzero >>= k = mzero
- Left Distribution:
mplus a b >>= k = mplus (a >>= k) (b >>= k)
- Left Catch — this is rarely advocated, but Maybe and IO satisfy this as an alternative to Left Distribution.
mplus (return a) b = return a
1 Which satisfies what?
satisfies Monoid, Left Zero, and Left Distribution.
satisfy Monoid, Left Zero, and Left Catch.
2 Which rules?Martin & Gibbons choose Monoid, Left Zero, and Left Distribution. This makes
a MonadPlus, but not
3 What should be done?It is proposed that the class be separated into
. See MonadPlus reform proposal.