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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 : lbound:Univ.Level.t -> UGraph.t -> t
val make_with_initial_binders : lbound:Univ.Level.t -> 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 univ_entry : poly:bool -> t -> Entries.universes_entry
(** Pick from {!context} or {!context_set} based on [poly]. *)
val const_univ_entry : poly:bool -> t -> Entries.universes_entry
[@@ocaml.deprecated "Use [univ_entry]."]
(** {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 lbound (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 : lbound:Univ.Level.t -> 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.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
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