Copyright	(C) 2007-2015 Edward Kmett
License	BSD-style (see the file LICENSE)
Maintainer	Edward Kmett <ekmett@gmail.com>
Stability	provisional
Portability	portable
Safe Haskell	Safe
Language	Haskell98

Data.Semigroupoid

Description

A semigroupoid satisfies all of the requirements to be a Category except for the existence of identity arrows.

Synopsis

class Semigroupoid c where
newtype WrappedCategory k a b = WrapCategory {
- unwrapCategory :: k a b
}
newtype Semi m a b = Semi {
- getSemi :: m
}

Documentation

class Semigroupoid c where Source #

Category sans id

Minimal complete definition

o

Methods

o :: c j k -> c i j -> c i k Source #

Instances

Semigroupoid k k1 => Semigroupoid k (Iso k k1) Source #

Methods

o :: c j k -> c i j -> c i k Source #

Semigroup m => Semigroupoid k (Semi k k m) Source #

Methods

o :: c j k -> c i j -> c i k Source #

Category k k1 => Semigroupoid k (WrappedCategory k k k1) Source #

Methods

o :: c j k -> c i j -> c i k Source #

Semigroupoid k k1 => Semigroupoid k (Dual k k k1) Source #

Methods

o :: c j k -> c i j -> c i k Source #

Semigroupoid * (->) Source #

Methods

o :: c j k -> c i j -> c i k Source #

Semigroupoid * (,) Source #

http://en.wikipedia.org/wiki/Band_(mathematics)#Rectangular_bands

Methods

o :: c j k -> c i j -> c i k Source #

Semigroupoid * Op Source #

Methods

o :: c j k -> c i j -> c i k Source #

Bind m => Semigroupoid * (Kleisli m) Source #

Methods

o :: c j k -> c i j -> c i k Source #

Semigroupoid * (Const *) Source #

Methods

o :: c j k -> c i j -> c i k Source #

Extend w => Semigroupoid * (Cokleisli w) Source #

Methods

o :: c j k -> c i j -> c i k Source #

Semigroupoid * (Tagged *) Source #

Methods

o :: c j k -> c i j -> c i k Source #

Apply f => Semigroupoid * (Static f) Source #

Methods

o :: c j k -> c i j -> c i k Source #

newtype WrappedCategory k a b Source #

Constructors

WrapCategory

Fields

unwrapCategory :: k a b

Instances

Category k k1 => Category k (WrappedCategory k k k1) Source #

Methods

id :: cat a a #

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

Category k k1 => Semigroupoid k (WrappedCategory k k k1) Source #

Methods

o :: c j k -> c i j -> c i k Source #

newtype Semi m a b Source #

Constructors

Semi

Fields

getSemi :: m

Instances

Monoid m => Category k (Semi k k m) Source #

Methods

id :: cat a a #

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

Semigroup m => Semigroupoid k (Semi k k m) Source #

Methods

o :: c j k -> c i j -> c i k Source #