Control.Functor.HigherOrder

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 :: Natural g h -> Natural (f g) (f h)

Instances

(HFunctor f, HFunctor g) => HFunctor (CompH f g)

class HFunctor m => HPointed m where

Methods

hreturn :: Functor f => Natural f (m f)

class HFunctor w => HCopointed w where

Methods

hextract :: Functor f => Natural (w f) f

type AlgH f g = Natural (f g) g

type CoAlgH f g = Natural g (f g)

newtype FixH f a

Constructors

InH

Fields

outH :: f (FixH f) a

newtype LowerH h f a

Constructors

LowerH

Fields

liftH :: h f a

Instances

(HFunctor h, Functor f) => Functor (LowerH h f)

(HCopointed h, Copointed f) => Copointed (LowerH h f)

(HPointed h, Pointed f) => Pointed (LowerH h f)