Core_via_kleisli_composition (preface.Preface_make.Indexed_monad_plus.Core_via_kleisli

Parameters

module Req : Preface_specs.Indexed_monad_plus.WITH_KLEISLI_COMPOSITION

type ('a, 'index) t = ('a, 'index) Req.t

The type held by the Indexed Monad Plus.

include Preface_specs.Indexed_monad.WITH_RETURN
  with type ('a, 'index) t := ('a, 'index) t

include Preface_specs.Indexed_bind.WITH_BIND
  with type ('a, 'index) t := ('a, 'index) t

val bind : ('a -> ('b, 'index) t) -> ('a, 'index) t -> ('b, 'index) t

bind f m passes the result of computation m to function f.

include Preface_specs.Indexed_monad.WITH_RETURN
  with type ('a, 'index) t := ('a, 'index) t

include Preface_specs.Indexed_bind.WITH_MAP_AND_JOIN
  with type ('a, 'index) t := ('a, 'index) t

val map : ('a -> 'b) -> ('a, 'index) t -> ('b, 'index) t

Mapping over from 'a to 'b.

val join : (('a, 'index) t, 'index) t -> ('a, 'index) t

join remove one level of monadic structure, projecting its bound argument into the outer level.

include Preface_specs.Indexed_monad.WITH_RETURN
  with type ('a, 'index) t := ('a, 'index) t

val return : 'a -> ('a, 'index) t

Lift a value into a t.

include Preface_specs.Indexed_bind.WITH_KLEISLI_COMPOSITION
  with type ('a, 'index) t := ('a, 'index) t

val compose_left_to_right : 
  ('a -> ('b, 'index) t) ->
  ('b -> ('c, 'index) t) ->
  'a ->
  ('c, 'index) t

Composing monadic functions using Kleisli Arrow (from left to right).

val combine : ('a, 'index) t -> ('a, 'index) t -> ('a, 'index) t

Combine two values of t into one.

val neutral : ('a, 'index) t

The neutral element of the t.