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type label = int
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type atom = int
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type const = Integer of Big_int.big_int | Atom of atom | Char of Chars.Unichar.t
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(** Algebra **)
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type node
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type descr
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val make: unit -> node
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val define: node -> descr -> unit
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val cons: descr -> node
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val internalize: node -> node
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val id: node -> int
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val descr: node -> descr
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val equal_descr: descr -> descr -> bool
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val hash_descr: descr -> int
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module DescrHash: Hashtbl.S with type key = descr
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(** Boolean connectives **)
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val cup : descr -> descr -> descr
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val cap : descr -> descr -> descr
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val diff : descr -> descr -> descr
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val neg : descr -> descr
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val empty : descr
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val any : descr
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(** Constructors **)
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val interval : Big_int.big_int -> Big_int.big_int -> descr
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val atom : atom Atoms.t -> descr
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val times : node -> node -> descr
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val arrow : node -> node -> descr
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val record : label -> bool -> node -> descr
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val char : Chars.t -> descr
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val constant : const -> descr
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(** Positive systems and least solutions **)
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module Positive :
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sig
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type v
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val forward: unit -> v
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val define: v -> v -> unit
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val ty: descr -> v
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val cup: v list -> v
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val times: v -> v -> v
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val solve: v -> node
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end
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(** Labels and atom names **)
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val mk_atom : string -> atom
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val atom_name : atom -> string
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val label : string -> label
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val label_name : label -> string
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(** Normalization **)
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module Product : sig
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val any : descr
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val other : descr -> descr
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val is_product : descr -> bool
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(* List of non-empty rectangles *)
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type t = (descr * descr) list
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val get: descr -> t
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val pi1: t -> descr
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val pi2: t -> descr
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(* Intersection with (pi1,Any) *)
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val restrict_1: t -> descr -> t
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(* List of non-empty rectangles whose first projection
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are pair-wise disjunct *)
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type normal = t
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val normal: descr -> t
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end
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module Record : sig
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val any : descr
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(* List of maps label -> (optional, content) *)
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type t = (label, (bool * descr)) SortedMap.t list
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val get: descr -> t
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val is_empty: t -> bool
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val restrict_label_present: t -> label -> t
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val restrict_field: t -> label -> descr -> t
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val restrict_label_absent: t -> label -> t
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val project_field: t -> label -> descr
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type normal =
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[ `Success
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| `Fail
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| `Label of label * (descr * normal) list * normal ]
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val normal: descr -> normal
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val project : descr -> label -> descr
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(* Raise Not_found if label is not necessarily present *)
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end
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module Arrow : sig
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val any : descr
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type t
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val get: descr -> t
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(* Always succeed; no check <= Arrow.any *)
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val domain: t -> descr
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val apply: t -> descr -> descr
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(* Always succeed; no check on the domain *)
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end
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module Int : sig
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val any : descr
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val is_int : descr -> bool
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val get: descr -> Intervals.t
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val put: Intervals.t -> descr
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end
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module Atom : sig
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val has_atom : descr -> atom -> bool
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end
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val normalize : node -> node
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(** Subtyping and sample values **)
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val is_empty : descr -> bool
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val non_empty: descr -> bool
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val subtype : descr -> descr -> bool
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module Sample :
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sig
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type t =
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| Int of Big_int.big_int
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| Atom of atom
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| Char of Chars.Unichar.t
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| Pair of t * t
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| Record of (label * t) list
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| Fun of (node * node) list
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val get : descr -> t
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(**
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Extract a sample value from a non empty type;
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raise Not_found for an empty type
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**)
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end
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module Print :
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sig
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val register_global : string -> descr -> unit
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val print : Format.formatter -> node -> unit
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val print_descr: Format.formatter -> descr -> unit
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val print_sample : Format.formatter -> Sample.t -> unit
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end
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val check: descr -> unit
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