Copyright	(c) Ashley Yakeley 2007
License	BSD-style (see the LICENSE file in the distribution)
Maintainer	ashley@semantic.org
Stability	experimental
Portability	portable
Safe Haskell	Trustworthy
Language	Haskell2010

Control.Category

Description

Synopsis

Documentation

class Category cat where #

A class for categories. id and (.) must form a monoid.

Minimal complete definition

Methods

id :: cat a a #

the identity morphism

(.) :: cat b c -> cat a b -> cat a c infixr 9 #

morphism composition

Instances

Category k (Coercion k) #
Methods id :: cat a a # (.) :: cat b c -> cat a b -> cat a c #
Category k ((:~:) k) #
Methods id :: cat a a # (.) :: cat b c -> cat a b -> cat a c #
Category * (->) #
Methods id :: cat a a # (.) :: cat b c -> cat a b -> cat a c #
Monad m => Category * (Kleisli m) #
Methods id :: cat a a # (.) :: cat b c -> cat a b -> cat a c #

(<<<) :: Category cat => cat b c -> cat a b -> cat a c infixr 1 #

Right-to-left composition

(>>>) :: Category cat => cat a b -> cat b c -> cat a c infixr 1 #

Left-to-right composition