Introduction to algebraic javascript specification
Setoid
Ord
Semigroupoid
Category
Semigroup
Monoid
Functor
Contravariant
Apply
Applicative
Alt
Plus
Alternative
Foldable
Traversable
Chain
ChainRec
Monad
Extend
Comonad
Bifunctor
Profunctor
Goal: reading specification
- Algebraic structures
- Type signatures
- Functor
- Applicative
- Apply
- Chain
- Monad
Fantasy Land
map :: Functor f => f a~> (a -> b) -> f b
method name
type constraints
method on type f
type variables
arguments
return value
extended Hindley-Milner type system
Applicative
Apply
map :: Functor f => fa ~> (a -> b) -> fb
ap :: Apply f => fa ~> f(a -> b) -> fb
Chain
map :: Functor f => fa ~> (a -> b) -> fb
ap :: Apply f => f(a -> b) ~> f a -> fb
chain :: Chain f => fa ~> (a -> fb) -> fb
Monad
Monads are things that contain computational context (values, in most cases), and have one operation to manipulate some values of the monad (chain), and an operation to put values into a monad (of).
https://egghead.io/courses/professor-frisby-introduces-composable-functional-javascript
http://www.tomharding.me/