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Functor module:Data package:free-categories
module
Data.Quiver.
Functor
free-categories
Consider the category of Haskell quivers with
objects are types of higher kind
p :: k -> k -> Type
morphisms are terms of
RankNType
,
forall x y. p x y -> q x y
identity is
id
composition is
.
There is a natural hierarchy of typeclasses for endofunctors of the category of Haskell quivers, analagous to that for Haskell types.
module
Data.Quiver.
Bi
functor
free-categories
The category of quivers forms a closed monoidal category in two ways, under
ProductQ
or
ComposeQ
. The relations between these and their adjoints can be characterized by typeclasses below.
class
Q
Functor
c
free-categories
Data.Quiver.Functor
An endfunctor of quivers.
qmap id = id
qmap (g . f) = qmap g . qmap f
Packages
is:exact
is:module