categories-1.0.2: Categories

Portabilityportable
Stabilityexperimental
MaintainerEdward Kmett <ekmett@gmail.com>
Safe HaskellSafe-Infered

Control.Category.Associative

Description

NB: this contradicts another common meaning for an Associative Category, which is one where the pentagonal condition does not hold, but for which there is an identity.

Synopsis

Documentation

class Bifunctor p k k k => Associative k p whereSource

A category with an associative bifunctor satisfying Mac Lane's pentagonal coherence identity law:

 bimap id associate . associate . bimap associate id = associate . associate
 bimap disassociate id . disassociate . bimap id disassociate = disassociate . disassociate

Methods

associate :: k (p (p a b) c) (p a (p b c))Source

disassociate :: k (p a (p b c)) (p (p a b) c)Source

Instances