package preface

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package preface
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Set of functors (in ML sense) whose role is to concretise the abstractions described in Preface_specs. Each abstraction described in the specifications has its image in Preface.Make and the functors take as arguments modules constrained by the signatures described in Preface_specs and produce modules whose complete interface is also described in Preface_specs.)

For a detailed description of the module breakdown logic, go to the homepage.

Multiple path

The concretisation of an abstraction usually offers several paths:

  • using the minimal definition or implement as few combiners as possible. Some abstractions offer several minimal definitions, so it is up to you to choose the path that seems most relevant .
  • A construction on top of another abstraction (ie: Preface_specs.MONOID defined over a Preface_specs.SEMIGROUP)
  • A manual approach where each feature has to be provided (while offering intermediate functors to avoid boring tasks such as defining infixed operators).
  • A simplification of an existing abstraction, such as turning a Preface_specs.ALTERNATIVE into a Preface_specs.MONOID by fixing the type of the Alternative.
  • Using a fixed algebra. For example, the sum, product or composition of Preface_specs.FUNCTOR.

Monoid hierarchy

module Semigroup : sig ... end

Building a Preface_specs.Semigroup

module Monoid : sig ... end

Building a Preface_specs.Monoid

Functor hierarchy

module Functor : sig ... end

Building a Preface_specs.Functor

module Alt : sig ... end

Building a Preface_specs.Alt

module Applicative : sig ... end

Building a Preface_specs.Applicative

module Alternative : sig ... end

Building a Preface_specs.Alternative

module Selective : sig ... end

Building a Preface_specs.Selective

module Monad : sig ... end

Building a Preface_specs.Monad

module Monad_plus : sig ... end

Building a Preface_specs.Monad_plus

module Comonad : sig ... end

Building a Preface_specs.Comonad

module Foldable : sig ... end

Building a Preface_specs.Foldable

module Traversable : sig ... end

Building a Preface_specs.Traversable

Contravariant hierarchy

module Contravariant : sig ... end

Building a Preface_specs.Contravariant

module Divisible : sig ... end

Building a Preface_specs.Divisible

Bifunctor hierarchy

module Bifunctor : sig ... end

Building a Preface_specs.Bifunctor

Profunctor hierarchy

module Profunctor : sig ... end

Building a Preface_specs.Profunctor

module Strong : sig ... end

Building a Preface_specs.Strong

module Choice : sig ... end

Building a Preface_specs.Choice

module Closed : sig ... end

Building a Preface_specs.Closed

Arrow hierarchy

module Category : sig ... end

Building a Preface_specs.Category

module Arrow : sig ... end

Building a Preface_specs.Arrow

module Arrow_zero : sig ... end

Building a Preface_specs.Arrow_zero

module Arrow_alt : sig ... end

Building a Preface_specs.Arrow_alt

module Arrow_plus : sig ... end

Building a Preface_specs.Arrow_plus

module Arrow_choice : sig ... end

Building a Preface_specs.Arrow_choice

module Arrow_apply : sig ... end

Building a Preface_specs.Arrow_apply

Transformers

Monad Transformers

module Reader : sig ... end

Building a Preface_specs.Reader, a Reader transformer.

module Writer : sig ... end

Building a Preface_specs.Writer, a Writer transformer.

module State : sig ... end

Building a Preface_specs.State, a State transformer.

Comonad Transformers

module Store : sig ... end

Building a Preface_specs.Store, a Store transformer.

module Env : sig ... end

Building a Preface_specs.Env, an Env transformer.

module Traced : sig ... end

Building a Preface_specs.Traced, a Traced transformer.

Free constructions

module Free_applicative : sig ... end

Building a Preface_specs.Free_applicative

module Free_selective : sig ... end

Building a Preface_specs.Free_selective

module Free_monad : sig ... end

Building a Preface_specs.Free_monad

module Freer_monad : sig ... end

Building a Preface_specs.Freer_monad