Monad_plus (preface.Preface_make.Monad

Using the minimal definition

Using return, bind, neutral and combine

Build a Preface_specs.MONAD_PLUS using Preface_specs.Monad_plus.WITH_BIND.

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

module Via_bind
  (Req : Preface_specs.Monad_plus.WITH_BIND) : 
  Preface_specs.MONAD_PLUS with type 'a t = 'a Req.t

Using return, map, join, neutral and combine

Build a Preface_specs.MONAD_PLUS using Preface_specs.Monad_plus.WITH_MAP_AND_JOIN.

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

module Via_map_and_join
  (Req : Preface_specs.Monad_plus.WITH_MAP_AND_JOIN) : 
  Preface_specs.MONAD_PLUS with type 'a t = 'a Req.t

Using return, neutral, combine and the kleisli composition

Build a Preface_specs.MONAD_PLUS using Preface_specs.Monad_plus.WITH_KLEISLI_COMPOSITION.

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

module Via_kleisli_composition
  (Req : Preface_specs.Monad_plus.WITH_KLEISLI_COMPOSITION) : 
  Preface_specs.MONAD_PLUS with type 'a t = 'a Req.t

Over a Monad and an Alternative

Build a Preface_specs.MONAD_PLUS over a Preface_specs.MONAD and an neutral and combine from an Preface_specs.ALTERNATIVE.

module Over_monad_and_alternative
  (Monad : Preface_specs.MONAD)
  (Alternative : Preface_specs.ALTERNATIVE with type 'a t = 'a Monad.t) : 
  Preface_specs.MONAD_PLUS with type 'a t = 'a Alternative.t

Over a Monad using neutral and combine

Build a Preface_specs.MONAD_PLUS over a Preface_specs.MONAD and using Preface_specs.Monad_plus.WITH_NEUTRAL_AND_COMBINE.

module Over_monad
  (Monad : Preface_specs.MONAD)
  (Req : 
    Preface_specs.Monad_plus.WITH_NEUTRAL_AND_COMBINE
      with type 'a t = 'a Monad.t) : 
  Preface_specs.MONAD_PLUS with type 'a t = 'a Req.t

Monad plus Algebra

Construction of Preface_specs.MONAD_PLUS by combining them.

Product

Construct the product of two Preface_specs.MONAD_PLUS.

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

From other abstraction

From an Arrow Plus and Arrow Apply

Produces an Preface_specs.MONAD_PLUS from an Arrow which has to be a Preface_specs.ARROW_PLUS and a Preface_specs.ARROW_APPLY.

module From_arrow_apply_and_arrow_plus
  (A : Preface_specs.ARROW_APPLY)
  (P : Preface_specs.ARROW_PLUS with type ('a, 'b) t = ('a, 'b) A.t) : 
  Preface_specs.MONAD_PLUS with type 'a t = (unit, 'a) P.t

To other abstraction

To an Indexed Monad

module Index
  (F : Preface_specs.MONAD_PLUS) : 
  Preface_specs.INDEXED_MONAD_PLUS with type ('a, 'index) t = 'a F.t

Manual construction

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

Grouping of all components

module Via
  (Core : Preface_specs.Monad_plus.CORE)
  (Operation : Preface_specs.Monad_plus.OPERATION with type 'a t = 'a Core.t)
  (Infix : Preface_specs.Monad_plus.INFIX with type 'a t = 'a Core.t)
  (Syntax : Preface_specs.Monad_plus.SYNTAX with type 'a t = 'a Core.t) : 
  Preface_specs.MONAD_PLUS with type 'a t = 'a Core.t

Building Core

module Core_via_bind
  (Req : Preface_specs.Monad_plus.WITH_BIND) : 
  Preface_specs.Monad_plus.CORE with type 'a t = 'a Req.t

module Core_via_map_and_join
  (Req : Preface_specs.Monad_plus.WITH_MAP_AND_JOIN) : 
  Preface_specs.Monad_plus.CORE with type 'a t = 'a Req.t

module Core_via_kleisli_composition
  (Req : Preface_specs.Monad_plus.WITH_KLEISLI_COMPOSITION) : 
  Preface_specs.Monad_plus.CORE with type 'a t = 'a Req.t

Deriving Operation

module Operation
  (Core : Preface_specs.Monad_plus.CORE) : 
  Preface_specs.Monad_plus.OPERATION with type 'a t = 'a Core.t

Deriving Syntax

module Syntax
  (Core : Preface_specs.Monad_plus.CORE) : 
  Preface_specs.Monad_plus.SYNTAX with type 'a t = 'a Core.t

Deriving Infix

module Infix
  (Core : Preface_specs.Monad_plus.CORE)
  (Operation : Preface_specs.Monad_plus.OPERATION with type 'a t = 'a Core.t) : 
  Preface_specs.Monad_plus.INFIX with type 'a t = 'a Core.t