category-extras-0.53.6: Various modules and constructs inspired by category theory Contents Index

Control.Functor.HigherOrder Portability non-portable (rank-2 polymorphism) Stability experimental Maintainer Edward Kmett <ekmett@gmail.com>

Description

Neil Ghani and Particia Johann''s higher order functors from http://crab.rutgers.edu/~pjohann/tlca07-rev.pdf

Documentation

class HFunctor f where

Methods ffmap :: Functor g => (a -> b) -> f g a -> f g b hfmap :: (g :~> h) -> f g :~> f h Instances HFunctor CoYoneda HFunctor Yoneda Bifunctor p Hask Hask Hask => HFunctor (Ap p) Functor f => HFunctor (CompF f) Functor f => HFunctor (ACompF f) Functor g => HFunctor (Lan g) HFunctor (Ran g) (HFunctor f, HFunctor g) => HFunctor (CompH f g)

class HFunctor m => HPointed m where

Methods hreturn :: Functor f => f a -> m f a Instances HPointed CoYoneda HPointed Yoneda

class HFunctor w => HCopointed w where

Methods hextract :: Functor f => w f a -> f a Instances HCopointed CoYoneda HCopointed Yoneda

type HAlgebra f g = f g :~> g

type HCoalgebra f g = g :~> f g

newtype FixH f a

Constructors InH outH :: f (FixH f) a

newtype LowerH h f a

Constructors LowerH liftH :: h f a Instances (HFunctor h, Functor f) => Functor (LowerH h f) (HPointed h, Pointed f) => Pointed (LowerH h f) (HCopointed h, Copointed f) => Copointed (LowerH h f)

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