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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) *)
+(************************************************************************)
+
+(** This file defines universe unification states which are part of evarmaps.
+ Most of the API below is reexported in {!Evd}. Consider using higher-level
+ primitives when needed. *)
+
+open Names
+open Univ
+
+exception UniversesDiffer
+
+type t
+(** Type of universe unification states. They allow the incremental building of
+ universe constraints during an interactive proof. *)
+
+(** {5 Constructors} *)
+
+val empty : t
+
+val make : UGraph.t -> t
+
+val make_with_initial_binders : UGraph.t -> lident list -> t
+
+val is_empty : t -> bool
+
+val union : t -> t -> t
+
+val of_context_set : Univ.ContextSet.t -> t
+
+val of_binders : UnivNames.universe_binders -> t
+
+val universe_binders : t -> UnivNames.universe_binders
+
+(** {5 Projections} *)
+
+val context_set : t -> Univ.ContextSet.t
+(** The local context of the state, i.e. a set of bound variables together
+ with their associated constraints. *)
+
+val subst : t -> UnivSubst.universe_opt_subst
+(** The local universes that are unification variables *)
+
+val ugraph : t -> UGraph.t
+(** The current graph extended with the local constraints *)
+
+val initial_graph : t -> UGraph.t
+(** The initial graph with just the declarations of new universes. *)
+
+val algebraics : t -> Univ.LSet.t
+(** The subset of unification variables that can be instantiated with algebraic
+ universes as they appear in inferred types only. *)
+
+val constraints : t -> Univ.Constraint.t
+(** Shorthand for {!context_set} composed with {!ContextSet.constraints}. *)
+
+val context : t -> Univ.UContext.t
+(** Shorthand for {!context_set} with {!Context_set.to_context}. *)
+
+val const_univ_entry : poly:bool -> t -> Entries.constant_universes_entry
+(** Pick from {!context} or {!context_set} based on [poly]. *)
+
+val ind_univ_entry : poly:bool -> t -> Entries.inductive_universes
+(** Pick from {!context} or {!context_set} based on [poly].
+ Cannot create cumulative entries. *)
+
+(** {5 Constraints handling} *)
+
+val drop_weak_constraints : bool ref
+
+val add_constraints : t -> Univ.Constraint.t -> t
+(**
+ @raise UniversesDiffer when universes differ
+*)
+
+val add_universe_constraints : t -> UnivProblem.Set.t -> t
+(**
+ @raise UniversesDiffer when universes differ
+*)
+
+(** {5 Names} *)
+
+val universe_of_name : t -> Id.t -> Univ.Level.t
+(** Retrieve the universe associated to the name. *)
+
+(** {5 Unification} *)
+
+(** [restrict_universe_context (univs,csts) keep] restricts [univs] to
+ the universes in [keep]. The constraints [csts] are adjusted so
+ that transitive constraints between remaining universes (those in
+ [keep] and those not in [univs]) are preserved. *)
+val restrict_universe_context : ContextSet.t -> LSet.t -> ContextSet.t
+
+(** [restrict uctx ctx] restricts the local universes of [uctx] to
+ [ctx] extended by local named universes and side effect universes
+ (from [demote_seff_univs]). Transitive constraints between retained
+ universes are preserved. *)
+val restrict : t -> Univ.LSet.t -> t
+
+val demote_seff_univs : Safe_typing.private_constants Entries.definition_entry -> t -> t
+
+type rigid =
+ | UnivRigid
+ | UnivFlexible of bool (** Is substitution by an algebraic ok? *)
+
+val univ_rigid : rigid
+val univ_flexible : rigid
+val univ_flexible_alg : rigid
+
+val merge : ?loc:Loc.t -> sideff:bool -> extend:bool -> rigid -> t -> Univ.ContextSet.t -> t
+val merge_subst : t -> UnivSubst.universe_opt_subst -> t
+val emit_side_effects : Safe_typing.private_constants -> t -> t
+
+val new_univ_variable : ?loc:Loc.t -> rigid -> Id.t option -> t -> t * Univ.Level.t
+val add_global_univ : t -> Univ.Level.t -> t
+
+(** [make_flexible_variable g algebraic l]
+
+ Turn the variable [l] flexible, and algebraic if [algebraic] is true
+ and [l] can be. That is if there are no strict upper constraints on
+ [l] and and it does not appear in the instance of any non-algebraic
+ universe. Otherwise the variable is just made flexible.
+
+ If [l] is already algebraic it will remain so even with [algebraic:false]. *)
+val make_flexible_variable : t -> algebraic:bool -> Univ.Level.t -> t
+
+val make_nonalgebraic_variable : t -> Univ.Level.t -> t
+(** Make the level non algebraic. Undefined behaviour on
+ already-defined algebraics. *)
+
+(** Turn all undefined flexible algebraic variables into simply flexible
+ ones. Can be used in case the variables might appear in universe instances
+ (typically for polymorphic program obligations). *)
+val make_flexible_nonalgebraic : t -> t
+
+val is_sort_variable : t -> Sorts.t -> Univ.Level.t option
+
+val normalize_variables : t -> Univ.universe_subst * t
+
+val constrain_variables : Univ.LSet.t -> t -> t
+
+val abstract_undefined_variables : t -> t
+
+val fix_undefined_variables : t -> t
+
+val refresh_undefined_univ_variables : t -> t * Univ.universe_level_subst
+
+(** Universe minimization *)
+val minimize : t -> t
+
+type ('a, 'b) gen_universe_decl = {
+ univdecl_instance : 'a; (* Declared universes *)
+ univdecl_extensible_instance : bool; (* Can new universes be added *)
+ univdecl_constraints : 'b; (* Declared constraints *)
+ univdecl_extensible_constraints : bool (* Can new constraints be added *) }
+
+type universe_decl =
+ (lident list, Univ.Constraint.t) gen_universe_decl
+
+val default_univ_decl : universe_decl
+
+(** [check_univ_decl ctx decl]
+
+ If non extensible in [decl], check that the local universes (resp.
+ universe constraints) in [ctx] are implied by [decl].
+
+ Return a [Entries.constant_universes_entry] containing the local
+ universes of [ctx] and their constraints.
+
+ When polymorphic, the universes corresponding to
+ [decl.univdecl_instance] come first in the order defined by that
+ list. *)
+val check_univ_decl : poly:bool -> t -> universe_decl -> Entries.constant_universes_entry
+
+val check_mono_univ_decl : t -> universe_decl -> Univ.ContextSet.t
+
+(** {5 TODO: Document me} *)
+
+val update_sigma_env : t -> Environ.env -> t
+
+(** {5 Pretty-printing} *)
+
+val pr_uctx_level : t -> Univ.Level.t -> Pp.t
+val qualid_of_level : t -> Univ.Level.t -> Libnames.qualid option
+
+val pr_weak : (Univ.Level.t -> Pp.t) -> t -> Pp.t