Arrow_zero (preface.Preface_make.Arrow

Using the minimal definition

Using neutral over an Arrow

Build an Preface_specs.ARROW_ZERO using Preface_specs.Arrow_zero.WITH_NEUTRAL over an Preface_specs.ARROW.

Standard method, using the minimal definition of an alt to derive its full API.

module Over_arrow
  (Arrow : Preface_specs.ARROW)
  (Req : 
    Preface_specs.Arrow_zero.WITH_NEUTRAL
      with type ('a, 'b) t = ('a, 'b) Arrow.t) : 
  Preface_specs.ARROW_ZERO with type ('a, 'b) t = ('a, 'b) Req.t

Using neutral, arrow and fst over a Category

Build an Preface_specs.ARROW_ZERO using Preface_specs.Arrow_zero.WITH_ARROW_AND_FST over a Preface_specs.CATEGORY.

Standard method, using the minimal definition of an alt to derive its full API.

module Over_category_and_via_arrow_and_fst
  (Category : Preface_specs.CATEGORY)
  (Req : 
    Preface_specs.Arrow_zero.WITH_ARROW_AND_FST
      with type ('a, 'b) t = ('a, 'b) Category.t) : 
  Preface_specs.ARROW_ZERO with type ('a, 'b) t = ('a, 'b) Req.t

Using neutral, arrow and split over a Category

Build an Preface_specs.ARROW_ZERO using Preface_specs.Arrow_zero.WITH_ARROW_AND_SPLIT over a Preface_specs.CATEGORY.

Standard method, using the minimal definition of an alt to derive its full API.

module Over_category_and_via_arrow_and_split
  (Category : Preface_specs.CATEGORY)
  (Req : 
    Preface_specs.Arrow_zero.WITH_ARROW_AND_SPLIT
      with type ('a, 'b) t = ('a, 'b) Category.t) : 
  Preface_specs.ARROW_ZERO with type ('a, 'b) t = ('a, 'b) Req.t

Arrow Zero Algebra

Construction of Preface_specs.ARROW_ZERO by combining them.

Product

Construct the product of two Preface_specs.ARROW_ZERO.

module Product
  (F : Preface_specs.ARROW_ZERO)
  (G : Preface_specs.ARROW_ZERO) : 
  Preface_specs.ARROW_ZERO with type ('a, 'b) t = ('a, 'b) F.t * ('a, 'b) G.t

From other abstraction

From an Arrow Plus

Produces an Preface_specs.ARROW_ZERO from an Preface_specs.ARROW_PLUS.

module From_arrow_plus
  (Plus : Preface_specs.ARROW_PLUS) : 
  Preface_specs.ARROW_ZERO with type ('a, 'b) t = ('a, 'b) Plus.t

From a Monad Plus

Produces an Preface_specs.ARROW_ZERO from a Preface_specs.MONAD_PLUS (using the Kleisli Arrow).

module From_monad_plus
  (Monad : Preface_specs.Monad_plus.CORE) : 
  Preface_specs.ARROW_ZERO with type ('a, 'b) t = 'a -> 'b Monad.t

Manual construction

Advanced way to build an Preface_specs.ARROW_ZERO, constructing and assembling a component-by-component of Preface_specs.ARROW_ZERO. (In order to provide your own implementation for some features.)

Grouping of all components

module Via
  (Core : Preface_specs.Arrow_zero.CORE)
  (Operation : 
    Preface_specs.Arrow_zero.OPERATION with type ('a, 'b) t = ('a, 'b) Core.t)
  (Alias : 
    Preface_specs.Arrow_zero.ALIAS with type ('a, 'b) t = ('a, 'b) Operation.t)
  (Infix : 
    Preface_specs.Arrow_zero.INFIX with type ('a, 'b) t = ('a, 'b) Alias.t) : 
  Preface_specs.ARROW_ZERO with type ('a, 'b) t = ('a, 'b) Infix.t

Building Core

module Core_over_category_and_via_arrow_and_fst
  (Category : Preface_specs.Category.CORE)
  (Req : 
    Preface_specs.Arrow_zero.WITH_ARROW_AND_FST
      with type ('a, 'b) t = ('a, 'b) Category.t) : 
  Preface_specs.Arrow_zero.CORE with type ('a, 'b) t = ('a, 'b) Req.t

module Core_over_category_and_via_arrow_and_split
  (Category : Preface_specs.Category.CORE)
  (Req : 
    Preface_specs.Arrow_zero.WITH_ARROW_AND_SPLIT
      with type ('a, 'b) t = ('a, 'b) Category.t) : 
  Preface_specs.Arrow_zero.CORE with type ('a, 'b) t = ('a, 'b) Req.t

Deriving Operation

module Operation_over_category
  (Category : Preface_specs.Category.OPERATION)
  (Core : 
    Preface_specs.Arrow_zero.CORE with type ('a, 'b) t = ('a, 'b) Category.t) : 
  Preface_specs.Arrow_zero.OPERATION with type ('a, 'b) t = ('a, 'b) Core.t

Deriving Alias

module Alias
  (Operation : Preface_specs.Arrow_zero.OPERATION) : 
  Preface_specs.Arrow_zero.ALIAS with type ('a, 'b) t = ('a, 'b) Operation.t

Deriving Infix

module Infix_over_category
  (Category : Preface_specs.Category.INFIX)
  (Core : 
    Preface_specs.Arrow_zero.CORE with type ('a, 'b) t = ('a, 'b) Category.t)
  (Operation : 
    Preface_specs.Arrow_zero.OPERATION with type ('a, 'b) t = ('a, 'b) Core.t) : 
  Preface_specs.Arrow_zero.INFIX with type ('a, 'b) t = ('a, 'b) Operation.t