Writer (preface.Preface

Using the minimal definition

Build an Preface_specs.WRITER over an Inner Preface_specs.MONAD and given a monoidal tape.

module Over_monad
  (M : Preface_specs.MONAD)
  (Tape : Preface_specs.MONOID) : 
  Preface_specs.WRITER with type tape = Tape.t and type 'a monad = 'a M.t

Improving API

If there are complementary implementations to Preface_specs.MONAD attached to the Inner Preface_specs.MONAD type, it is possible to promote the Preface_specs.WRITER API with these complementary implementations

Functor

If the Inner Preface_specs.MONAD is also a Preface_specs.FUNCTOR, the Writer monad is also a Preface_specs.FUNCTOR.

module Functor
  (F : Preface_specs.FUNCTOR)
  (Tape : Preface_specs.MONOID) : 
  Preface_specs.FUNCTOR with type 'a t = ('a * Tape.t) F.t

Applicative

If the Inner Preface_specs.MONAD is also an Preface_specs.APPLICATIVE, the Writer monad is also an Preface_specs.APPLICATIVE.

module Applicative
  (A : Preface_specs.APPLICATIVE)
  (Tape : Preface_specs.MONOID) : 
  Preface_specs.APPLICATIVE with type 'a t = ('a * Tape.t) A.t

Alternative

If the Inner Preface_specs.MONAD is also an Preface_specs.ALTERNATIVE, the Writer monad is also an Preface_specs.ALTERNATIVE.

module Alternative
  (A : Preface_specs.ALTERNATIVE)
  (Tape : Preface_specs.MONOID) : 
  Preface_specs.ALTERNATIVE with type 'a t = ('a * Tape.t) A.t

Monad

If the Inner Preface_specs.MONAD is also a Preface_specs.MONAD, the Writer monad is also a Preface_specs.MONAD (this is this functor which is used in the full API definition).

module Monad
  (M : Preface_specs.MONAD)
  (Tape : Preface_specs.MONOID) : 
  Preface_specs.MONAD with type 'a t = ('a * Tape.t) M.t

Monad Plus

If the Inner Preface_specs.MONAD is also a Preface_specs.MONAD_PLUS, the Writer monad is also a Preface_specs.MONAD_PLUS.

module Monad_plus
  (M : Preface_specs.MONAD_PLUS)
  (Tape : Preface_specs.MONOID) : 
  Preface_specs.MONAD_PLUS with type 'a t = ('a * Tape.t) M.t

Manual construction

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

Building Core

module Core_over_monad
  (Monad : Preface_specs.MONAD)
  (Tape : Preface_specs.MONOID) : 
  Preface_specs.Writer.CORE
    with type tape = Tape.t
     and type 'a monad = 'a Monad.t