types.mli

type label = int
type atom  = int
type const = Integer of int | Atom of atom | String of string

(** Algebra **)

type node
type descr

val make: unit -> node
val define: node -> descr -> unit

val cons: descr -> node
val internalize: node -> node

val id: node -> int
val descr: node -> descr


(** Boolean connectives **)

val cup    : descr -> descr -> descr
val cap    : descr -> descr -> descr
val diff   : descr -> descr -> descr
val neg    : descr -> descr
val empty  : descr
val any    : descr

(** Constructors **)

val interval : int -> int -> descr
val atom     : atom -> descr
val times    : node -> node -> descr
val arrow    : node -> node -> descr
val record   : label -> bool -> node -> descr
val string   : Strings.Regexp.regexp -> descr
val constant : const -> descr

(** Positive systems and least solutions **)

module Positive :
sig
  type v
  val forward: unit -> v
  val define: v -> v -> unit
  val ty: descr -> v
  val cup: v list -> v
  val times: v -> v -> v

  val solve: v -> node
end

(** Labels and atom names **)

val mk_atom  : string -> atom
val atom_name : atom -> string

val label : string -> label
val label_name : label -> string

(** Normalization **)

module Product : sig
  val any : descr

  (* List of non-empty rectangles *)
  type t = (descr * descr) list
  val get: descr -> t
  val pi1: t -> descr
  val pi2: t -> descr
    
  (* Intersection with (pi1,Any) *)
  val restrict_1: t -> descr -> t

  (* List of non-empty rectangles whose first projection
     are pair-wise disjunct *)
  type normal = t
  val normal: descr -> t
end

module Record : sig
  val any : descr

  (* List of maps label -> (optional, content) *)
  type t = (label, (bool * descr)) SortedMap.t list
  val get: descr -> t
  val is_empty: t -> bool
  val restrict_label_present: t -> label -> t
  val restrict_field: t -> label -> descr -> t
  val restrict_label_absent: t -> label -> t
  val project_field: t -> label -> descr

  type normal = 
      [ `Success
      | `Fail
      | `Label of label * (descr * normal) list * normal ]
  val normal: descr -> normal

  val project : descr -> label -> descr
    (* Raise Not_found if label is not necessarily present *)
end

module Arrow : sig
  val any : descr

  type t
  val get: descr -> t
    (* Always succeed; no check <= Arrow.any *)

  val domain: t -> descr
  val apply: t -> descr -> descr
    (* Always succeed; no check on the domain *)
end


val normalize : node -> node

(** Subtyping and sample values **)

val is_empty : descr -> bool
val non_empty: descr -> bool
val subtype  : descr -> descr -> bool

module Sample :
sig
  type t =
    | Int of int
    | Atom of atom
    | String of string
    | Pair of t * t
    | Record of (label * t) list
    | Fun of (node * node) list

  val get : descr -> t
	(** 
	  Extract a sample value from a non empty type;
	  raise Not_found for an empty type
	**)
end

module Print :
sig
  val print : Format.formatter -> node -> unit
  val print_descr: Format.formatter -> descr -> unit
  val print_sample : Format.formatter -> Sample.t -> unit
end

val check: descr -> unit