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uState.mli
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(************************************************************************)
(* v * The Coq Proof Assistant / The Coq Development Team *)
(* <O___,, * INRIA - CNRS - LIX - LRI - PPS - Copyright 1999-2015 *)
(* \VV/ **************************************************************)
(* // * This file is distributed under the terms of the *)
(* * GNU Lesser General Public License Version 2.1 *)
(************************************************************************)
(** 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
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 is_empty : t -> bool
val union : t -> t -> t
val of_context_set : Univ.ContextSet.t -> t
val of_binders : Universes.universe_binders -> t
val universe_binders : t -> Universes.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 -> Universes.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 add_constraints : t -> Univ.Constraint.t -> t
(**
@raise UniversesDiffer when universes differ
*)
val add_universe_constraints : t -> Universes.Constraints.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} *)
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 -> bool -> rigid -> t -> Univ.ContextSet.t -> t
val merge_subst : t -> Universes.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. *)
val make_flexible_variable : t -> algebraic:bool -> Univ.Level.t -> t
(** 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
val normalize : t -> t
type universe_decl =
(Names.Id.t Loc.located list, Univ.Constraint.t) Misctypes.gen_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 reference_of_level : t -> Univ.Level.t -> Libnames.reference