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+(************************************************************************)
+(* * The Coq Proof Assistant / The Coq Development Team *)
+(* v * INRIA, CNRS and contributors - Copyright 1999-2018 *)
+(* <O___,, * (see CREDITS file for the list of authors) *)
+(* \VV/ **************************************************************)
+(* // * This file is distributed under the terms of the *)
+(* * GNU Lesser General Public License Version 2.1 *)
+(* * (see LICENSE file for the text of the license) *)
+(************************************************************************)
+
+(** Graphs representing strict orders *)
+
+type constraint_type = Lt | Le | Eq
+
+module type Point = sig
+ type t
+
+ module Set : CSig.SetS with type elt = t
+ module Map : CMap.ExtS with type key = t and module Set := Set
+
+ module Constraint : CSet.S with type elt = (t * constraint_type * t)
+
+ val equal : t -> t -> bool
+ val compare : t -> t -> int
+
+ type explanation = (constraint_type * t) list
+ val error_inconsistency : constraint_type -> t -> t -> explanation lazy_t option -> 'a
+
+ val pr : t -> Pp.t
+end
+
+module Make (Point:Point) : sig
+
+ type t
+
+ val empty : t
+
+ val check_invariants : required_canonical:(Point.t -> bool) -> t -> unit
+
+ exception AlreadyDeclared
+ val add : ?rank:int -> Point.t -> t -> t
+ (** All points must be pre-declared through this function before
+ they can be mentioned in the others. NB: use a large [rank] to
+ keep the node canonical *)
+
+ exception Undeclared of Point.t
+ val check_declared : t -> Point.Set.t -> unit
+ (** @raise Undeclared if one of the points is not present in the graph. *)
+
+ type 'a check_function = t -> 'a -> 'a -> bool
+
+ val check_eq : Point.t check_function
+ val check_leq : Point.t check_function
+ val check_lt : Point.t check_function
+
+ val enforce_eq : Point.t -> Point.t -> t -> t
+ val enforce_leq : Point.t -> Point.t -> t -> t
+ val enforce_lt : Point.t -> Point.t -> t -> t
+
+ val constraints_of : t -> Point.Constraint.t * Point.Set.t list
+
+ val constraints_for : kept:Point.Set.t -> t -> Point.Constraint.t
+
+ val domain : t -> Point.Set.t
+
+ val choose : (Point.t -> bool) -> t -> Point.t -> Point.t option
+
+ val sort : (int -> Point.t) -> Point.t list -> t -> t
+ (** [sort mk first g] builds a totally ordered graph. The output
+ graph should imply the input graph (and the implication will be
+ strict most of the time), but is not necessarily minimal. The
+ lowest points in the result are identified with [first].
+ Moreover, it adds levels [Type.n] to identify the points (not in
+ [first]) at level n. An artificial constraint (last first < mk
+ (length first)) is added to ensure that they are not merged.
+ Note: the result is unspecified if the input graph already
+ contains [mk n] nodes. *)
+
+ val pr : (Point.t -> Pp.t) -> t -> Pp.t
+
+ val dump : (constraint_type -> Point.t -> Point.t -> unit) -> t -> unit
+end