[Haskell-cafe] Does this typeclass have a name?

Hi all, I was wondering if anyone out there knows if this type class has a name? class Foo a e where foo :: e -> a -> a bar :: a (I also have a fundep a -> e, but that's not essential.) Essentially the usage is: You have a sequence of "events" e_i and a starting value "bar" and can use the "foo" function to apply all events to that starting value foo e_n $ foo e_{n-1} $ ... $ foo e_0 $ bar and thus get the final value of the a induced by the events e_i. (I've included the "bar" starting value in the type class, but I suppose it could be supplied by a Default instance.) Regards,