Source file safe_typing.ml
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open Util
open Names
open Declarations
open Constr
open Context.Named.Declaration
module NamedDecl = Context.Named.Declaration
(** {6 Safe environments }
Fields of [safe_environment] :
- [env] : the underlying environment (cf Environ)
- [modpath] : the current module name
- [modvariant] :
* NONE before coqtop initialization
* LIBRARY at toplevel of a compilation or a regular coqtop session
* STRUCT (params,oldsenv) : inside a local module, with
module parameters [params] and earlier environment [oldsenv]
* SIG (params,oldsenv) : same for a local module type
- [modresolver] : delta_resolver concerning the module content, that needs to
be marshalled on disk
- [paramresolver] : delta_resolver in scope but not part of the library per
se, that is from functor parameters and required libraries
- [revstruct] : current module content, most recent declarations first
- [modlabels] and [objlabels] : names defined in the current module,
either for modules/modtypes or for constants/inductives.
These fields could be deduced from [revstruct], but they allow faster
name freshness checks.
- [univ] and [future_cst] : current and future universe constraints
- [engagement] : are we Set-impredicative? does the universe hierarchy collapse?
- [required] : names and digests of Require'd libraries since big-bang.
This field will only grow
- [loads] : list of libraries Require'd inside the current module.
They will be propagated to the upper module level when
the current module ends.
- [local_retroknowledge]
*)
type vodigest =
| Dvo_or_vi of Digest.t
| Dvivo of Digest.t * Digest.t
let digest_match ~actual ~required =
match actual, required with
| Dvo_or_vi d1, Dvo_or_vi d2
| Dvivo (d1,_), Dvo_or_vi d2 -> String.equal d1 d2
| Dvivo (d1,e1), Dvivo (d2,e2) -> String.equal d1 d2 && String.equal e1 e2
| Dvo_or_vi _, Dvivo _ -> false
type library_info = DirPath.t * vodigest
(** Functor and funsig parameters, most recent first *)
type module_parameters = (MBId.t * module_type_body) list
type compiled_library = {
comp_name : DirPath.t;
comp_mod : module_body;
comp_univs : Univ.ContextSet.t;
comp_deps : library_info array;
comp_enga : engagement;
}
type reimport = compiled_library * Univ.ContextSet.t * vodigest
(** Part of the safe_env at a section opening time to be backtracked *)
type section_data = {
rev_env : Environ.env;
rev_univ : Univ.ContextSet.t;
rev_objlabels : Label.Set.t;
rev_reimport : reimport list;
}
type safe_environment =
{ env : Environ.env;
sections : section_data Section.t option;
modpath : ModPath.t;
modvariant : modvariant;
modresolver : Mod_subst.delta_resolver;
paramresolver : Mod_subst.delta_resolver;
revstruct : structure_body;
modlabels : Label.Set.t;
objlabels : Label.Set.t;
univ : Univ.ContextSet.t;
future_cst : Univ.ContextSet.t Future.computation list;
engagement : engagement option;
required : vodigest DPmap.t;
loads : (ModPath.t * module_body) list;
local_retroknowledge : Retroknowledge.action list;
}
and modvariant =
| NONE
| LIBRARY
| SIG of module_parameters * safe_environment (** saved env *)
| STRUCT of module_parameters * safe_environment (** saved env *)
let rec library_dp_of_senv senv =
match senv.modvariant with
| NONE | LIBRARY -> ModPath.dp senv.modpath
| SIG(_,senv) -> library_dp_of_senv senv
| STRUCT(_,senv) -> library_dp_of_senv senv
let empty_environment =
{ env = Environ.empty_env;
modpath = ModPath.initial;
modvariant = NONE;
modresolver = Mod_subst.empty_delta_resolver;
paramresolver = Mod_subst.empty_delta_resolver;
revstruct = [];
modlabels = Label.Set.empty;
objlabels = Label.Set.empty;
sections = None;
future_cst = [];
univ = Univ.ContextSet.empty;
engagement = None;
required = DPmap.empty;
loads = [];
local_retroknowledge = [];
}
let is_initial senv =
match senv.revstruct, senv.modvariant with
| [], NONE -> ModPath.equal senv.modpath ModPath.initial
| _ -> false
let sections_are_opened senv = not (Option.is_empty senv.sections)
let delta_of_senv senv = senv.modresolver,senv.paramresolver
let constant_of_delta_kn_senv senv kn =
Mod_subst.constant_of_deltas_kn senv.paramresolver senv.modresolver kn
let mind_of_delta_kn_senv senv kn =
Mod_subst.mind_of_deltas_kn senv.paramresolver senv.modresolver kn
(** The safe_environment state monad *)
type safe_transformer0 = safe_environment -> safe_environment
type 'a safe_transformer = safe_environment -> 'a * safe_environment
(** {6 Engagement } *)
let set_engagement_opt env = function
| Some c -> Environ.set_engagement c env
| None -> env
let set_engagement c senv =
{ senv with
env = Environ.set_engagement c senv.env;
engagement = Some c }
let set_typing_flags c senv =
let env = Environ.set_typing_flags c senv.env in
if env == senv.env then senv
else { senv with env }
let set_typing_flags flags senv =
if Option.has_some senv.sections
&& not (Environ.same_flags flags
{(Environ.typing_flags senv.env) with
conv_oracle = flags.conv_oracle;
share_reduction = flags.share_reduction;
})
then CErrors.user_err Pp.(str "Changing typing flags inside sections is not allowed.");
set_typing_flags flags senv
let set_check_guarded b senv =
let flags = Environ.typing_flags senv.env in
set_typing_flags { flags with check_guarded = b } senv
let set_check_positive b senv =
let flags = Environ.typing_flags senv.env in
set_typing_flags { flags with check_positive = b } senv
let set_check_universes b senv =
let flags = Environ.typing_flags senv.env in
set_typing_flags { flags with check_universes = b } senv
let set_indices_matter indices_matter senv =
set_typing_flags { (Environ.typing_flags senv.env) with indices_matter } senv
let set_share_reduction b senv =
let flags = Environ.typing_flags senv.env in
set_typing_flags { flags with share_reduction = b } senv
let set_VM b senv =
let flags = Environ.typing_flags senv.env in
set_typing_flags { flags with enable_VM = b } senv
let set_native_compiler b senv =
let flags = Environ.typing_flags senv.env in
set_typing_flags { flags with enable_native_compiler = b } senv
let set_allow_sprop b senv = { senv with env = Environ.set_allow_sprop b senv.env }
let with_typing_flags ?typing_flags senv ~f =
match typing_flags with
| None -> f senv
| Some typing_flags ->
let orig_typing_flags = Environ.typing_flags senv.env in
let res, senv = f (set_typing_flags typing_flags senv) in
res, set_typing_flags orig_typing_flags senv
(** Check that the engagement [c] expected by a library matches
the current (initial) one *)
let check_engagement env expected_impredicative_set =
let impredicative_set = Environ.engagement env in
begin
match impredicative_set, expected_impredicative_set with
| PredicativeSet, ImpredicativeSet ->
CErrors.user_err Pp.(str "Needs option -impredicative-set.")
| _ -> ()
end
(** {6 Stm machinery } *)
module Certificate :
sig
type t
val make : safe_environment -> t
val universes : t -> Univ.ContextSet.t
(** Checks whether [dst] is a valid extension of [src] *)
val check : src:t -> dst:t -> bool
end =
struct
type t = {
certif_struc : Declarations.structure_body;
certif_univs : Univ.ContextSet.t;
}
let make senv = {
certif_struc = senv.revstruct;
certif_univs = senv.univ;
}
let is_suffix l suf = match l with
| [] -> false
| _ :: l -> l == suf
let is_subset (s1, cst1) (s2, cst2) =
Univ.LSet.subset s1 s2 && Univ.Constraint.subset cst1 cst2
let check ~src ~dst =
is_suffix dst.certif_struc src.certif_struc &&
is_subset src.certif_univs dst.certif_univs
let universes c = c.certif_univs
end
type side_effect = {
seff_certif : Certificate.t CEphemeron.key;
seff_constant : Constant.t;
seff_body : Constr.t Declarations.constant_body;
}
module SideEffects :
sig
type t
val repr : t -> side_effect list
val empty : t
val is_empty : t -> bool
val add : side_effect -> t -> t
val concat : t -> t -> t
end =
struct
module SeffOrd = struct
type t = side_effect
let compare e1 e2 =
Constant.CanOrd.compare e1.seff_constant e2.seff_constant
end
module SeffSet = Set.Make(SeffOrd)
type t = { seff : side_effect list; elts : SeffSet.t }
(** Invariant: [seff] is a permutation of the elements of [elts] *)
let repr eff = eff.seff
let empty = { seff = []; elts = SeffSet.empty }
let is_empty { seff; elts } = List.is_empty seff && SeffSet.is_empty elts
let add x es =
if SeffSet.mem x es.elts then es
else { seff = x :: es.seff; elts = SeffSet.add x es.elts }
let concat xes yes =
List.fold_right add xes.seff yes
end
type private_constants = SideEffects.t
let side_effects_of_private_constants l =
List.rev (SideEffects.repr l)
let lift_constant c =
let body = match c.const_body with
| OpaqueDef _ -> Undef None
| Def _ | Undef _ | Primitive _ as body -> body
in
{ c with const_body = body }
let push_private_constants env eff =
let eff = side_effects_of_private_constants eff in
let add_if_undefined env eff =
if Environ.mem_constant eff.seff_constant env then env
else Environ.add_constant eff.seff_constant (lift_constant eff.seff_body) env
in
List.fold_left add_if_undefined env eff
let empty_private_constants = SideEffects.empty
let is_empty_private_constants c = SideEffects.is_empty c
let concat_private = SideEffects.concat
let universes_of_private eff =
let fold acc eff =
match eff.seff_body.const_universes with
| Monomorphic ctx -> Univ.ContextSet.union ctx acc
| Polymorphic _ -> acc
in
List.fold_left fold Univ.ContextSet.empty (side_effects_of_private_constants eff)
let env_of_safe_env senv = senv.env
let env_of_senv = env_of_safe_env
let structure_body_of_safe_env env = env.revstruct
let sections_of_safe_env senv = senv.sections
let get_section = function
| None -> CErrors.user_err Pp.(str "No open section.")
| Some s -> s
type constraints_addition =
| Now of Univ.ContextSet.t
| Later of Univ.ContextSet.t Future.computation
let push_context_set ~strict cst senv =
if Univ.ContextSet.is_empty cst then senv
else
let sections = Option.map (Section.push_constraints cst) senv.sections
in
{ senv with
env = Environ.push_context_set ~strict cst senv.env;
univ = Univ.ContextSet.union cst senv.univ;
sections }
let add_constraints cst senv =
match cst with
| Later fc ->
{senv with future_cst = fc :: senv.future_cst}
| Now cst ->
push_context_set ~strict:true cst senv
let add_constraints_list cst senv =
List.fold_left (fun acc c -> add_constraints c acc) senv cst
let is_curmod_library senv =
match senv.modvariant with LIBRARY -> true | _ -> false
let join_safe_environment ?(except=Future.UUIDSet.empty) e =
Modops.join_structure except (Environ.opaque_tables e.env) e.revstruct;
List.fold_left
(fun e fc ->
if Future.UUIDSet.mem (Future.uuid fc) except then e
else add_constraints (Now (Future.join fc)) e)
{e with future_cst = []} e.future_cst
let is_joined_environment e = List.is_empty e.future_cst
(** {6 Various checks } *)
let exists_modlabel l senv = Label.Set.mem l senv.modlabels
let exists_objlabel l senv = Label.Set.mem l senv.objlabels
let check_modlabel l senv =
if exists_modlabel l senv then Modops.error_existing_label l
let check_objlabel l senv =
if exists_objlabel l senv then Modops.error_existing_label l
let check_objlabels ls senv =
Label.Set.iter (fun l -> check_objlabel l senv) ls
(** Are we closing the right module / modtype ?
No user error here, since the opening/ending coherence
is now verified in [vernac_end_segment] *)
let check_current_label lab = function
| MPdot (_,l) -> assert (Label.equal lab l)
| _ -> assert false
let check_struct = function
| STRUCT (params,oldsenv) -> params, oldsenv
| NONE | LIBRARY | SIG _ -> assert false
let check_sig = function
| SIG (params,oldsenv) -> params, oldsenv
| NONE | LIBRARY | STRUCT _ -> assert false
let check_current_library dir senv = match senv.modvariant with
| LIBRARY -> assert (ModPath.equal senv.modpath (MPfile dir))
| NONE | STRUCT _ | SIG _ -> assert false
(** When operating on modules, we're normally outside sections *)
let check_empty_context senv =
assert (Environ.empty_context senv.env && Option.is_empty senv.sections)
(** When adding a parameter to the current module/modtype,
it must have been freshly started *)
let check_empty_struct senv =
assert (List.is_empty senv.revstruct
&& List.is_empty senv.loads)
(** When starting a library, the current environment should be initial
i.e. only composed of Require's *)
let check_initial senv = assert (is_initial senv)
(** When loading a library, its dependencies should be already there,
with the correct digests. *)
let check_required current_libs needed =
let check (id,required) =
try
let actual = DPmap.find id current_libs in
if not(digest_match ~actual ~required) then
CErrors.user_err Pp.(pr_sequence str
["Inconsistent assumptions over module"; DirPath.to_string id; "."])
with Not_found ->
CErrors.user_err Pp.(pr_sequence str ["Reference to unknown module"; DirPath.to_string id; "."])
in
Array.iter check needed
(** {6 Insertion of section variables} *)
(** They are now typed before being added to the environment.
Same as push_named, but check that the variable is not already
there. Should *not* be done in Environ because tactics add temporary
hypothesis many many times, and the check performed here would
cost too much. *)
let safe_push_named d env =
let id = NamedDecl.get_id d in
let _ =
try
let _ = Environ.lookup_named id env in
CErrors.user_err Pp.(pr_sequence str ["Identifier"; Id.to_string id; "already defined."])
with Not_found -> () in
Environ.push_named d env
let push_named_def (id,de) senv =
let sections = get_section senv.sections in
let sections = Section.push_local sections in
let c, r, typ = Term_typing.translate_local_def senv.env id de in
let x = Context.make_annot id r in
let env'' = safe_push_named (LocalDef (x, c, typ)) senv.env in
{ senv with sections=Some sections; env = env'' }
let push_named_assum (x,t) senv =
let sections = get_section senv.sections in
let sections = Section.push_local sections in
let t, r = Term_typing.translate_local_assum senv.env t in
let x = Context.make_annot x r in
let env'' = safe_push_named (LocalAssum (x,t)) senv.env in
{ senv with sections=Some sections; env = env'' }
let push_section_context (nas, ctx) senv =
let sections = get_section senv.sections in
let sections = Section.push_context (nas, ctx) sections in
let senv = { senv with sections=Some sections } in
let ctx = Univ.ContextSet.of_context ctx in
let () = assert (Univ.LSet.for_all (fun u -> not (Univ.LSet.mem u (fst senv.univ))) (fst ctx)) in
{ senv with
env = Environ.push_context_set ~strict:false ctx senv.env;
univ = Univ.ContextSet.union ctx senv.univ }
(** {6 Insertion of new declarations to current environment } *)
let labels_of_mib mib =
let add,get =
let labels = ref Label.Set.empty in
(fun id -> labels := Label.Set.add (Label.of_id id) !labels),
(fun () -> !labels)
in
let visit_mip mip =
add mip.mind_typename;
Array.iter add mip.mind_consnames
in
Array.iter visit_mip mib.mind_packets;
get ()
let globalize_constant_universes cb =
match cb.const_universes with
| Monomorphic cstrs ->
[cstrs]
| Polymorphic _ ->
[]
let globalize_mind_universes mb =
match mb.mind_universes with
| Monomorphic ctx ->
[ctx]
| Polymorphic _ -> []
let constraints_of_sfb sfb =
match sfb with
| SFBconst cb -> globalize_constant_universes cb
| SFBmind mib -> globalize_mind_universes mib
| SFBmodtype _ | SFBmodule _ -> []
let add_retroknowledge pttc senv =
{ senv with
env = Primred.add_retroknowledge senv.env pttc;
local_retroknowledge = pttc::senv.local_retroknowledge }
(** A generic function for adding a new field in a same environment.
It also performs the corresponding [add_constraints]. *)
type generic_name =
| C of Constant.t
| I of MutInd.t
| M (** name already known, cf the mod_mp field *)
| MT (** name already known, cf the mod_mp field *)
let add_field ?(is_include=false) ((l,sfb) as field) gn senv =
let mlabs,olabs = match sfb with
| SFBmind mib ->
let l = labels_of_mib mib in
check_objlabels l senv; (Label.Set.empty,l)
| SFBconst _ ->
check_objlabel l senv; (Label.Set.empty, Label.Set.singleton l)
| SFBmodule _ | SFBmodtype _ ->
check_modlabel l senv; (Label.Set.singleton l, Label.Set.empty)
in
let senv =
if is_include then
senv
else
let cst = constraints_of_sfb sfb in
List.fold_left (fun senv cst -> push_context_set ~strict:true cst senv) senv cst
in
let env' = match sfb, gn with
| SFBconst cb, C con -> Environ.add_constant con cb senv.env
| SFBmind mib, I mind -> Environ.add_mind mind mib senv.env
| SFBmodtype mtb, MT -> Environ.add_modtype mtb senv.env
| SFBmodule mb, M -> Modops.add_module mb senv.env
| _ -> assert false
in
let sections = match senv.sections with
| None -> None
| Some sections ->
match sfb, gn with
| SFBconst cb, C con ->
let poly = Declareops.constant_is_polymorphic cb in
Some (Section.push_constant ~poly con sections)
| SFBmind mib, I mind ->
let poly = Declareops.inductive_is_polymorphic mib in
Some (Section.push_inductive ~poly mind sections)
| _, (M | MT) -> Some sections
| _ -> assert false
in
{ senv with
env = env';
sections;
revstruct = field :: senv.revstruct;
modlabels = Label.Set.union mlabs senv.modlabels;
objlabels = Label.Set.union olabs senv.objlabels }
(** Applying a certain function to the resolver of a safe environment *)
let update_resolver f senv = { senv with modresolver = f senv.modresolver }
type global_declaration =
| ConstantEntry : Entries.constant_entry -> global_declaration
| OpaqueEntry : private_constants Entries.const_entry_body Entries.opaque_entry -> global_declaration
type exported_private_constant = Constant.t
let add_constant_aux senv (kn, cb) =
let l = Constant.label kn in
let cb = if sections_are_opened senv then cb else Declareops.hcons_const_body cb in
let senv' = add_field (l,SFBconst cb) (C kn) senv in
let senv'' = match cb.const_body with
| Undef (Some lev) ->
update_resolver
(Mod_subst.add_inline_delta_resolver (Constant.user kn) (lev,None)) senv'
| _ -> senv'
in
senv''
let mk_pure_proof c = (c, Univ.ContextSet.empty), SideEffects.empty
let inline_side_effects env body side_eff =
let open Constr in
(** First step: remove the constants that are still in the environment *)
let filter e =
let cb = (e.seff_constant, e.seff_body) in
if Environ.mem_constant e.seff_constant env then None
else Some (cb, e.seff_certif)
in
let side_eff = List.map_filter filter (SideEffects.repr side_eff) in
let sigs = List.rev_map (fun (_, mb) -> mb) side_eff in
let side_eff = List.fold_left (fun accu (cb, _) -> cb :: accu) [] side_eff in
let side_eff = List.rev side_eff in
(** Most recent side-effects first in side_eff *)
if List.is_empty side_eff then (body, Univ.ContextSet.empty, sigs, 0)
else
(** Second step: compute the lifts and substitutions to apply *)
let cname c r = Context.make_annot (Name (Label.to_id (Constant.label c))) r in
let fold (subst, var, ctx, args) (c, cb) =
let (b, opaque) = match cb.const_body with
| Def b -> (b, false)
| OpaqueDef b -> (b, true)
| _ -> assert false
in
match cb.const_universes with
| Monomorphic univs ->
(** Abstract over the term at the top of the proof *)
let ty = cb.const_type in
let subst = Cmap_env.add c (Inr var) subst in
let ctx = Univ.ContextSet.union ctx univs in
(subst, var + 1, ctx, (cname c cb.const_relevance, b, ty, opaque) :: args)
| Polymorphic _ ->
(** Inline the term to emulate universe polymorphism *)
let subst = Cmap_env.add c (Inl b) subst in
(subst, var, ctx, args)
in
let (subst, len, ctx, args) = List.fold_left fold (Cmap_env.empty, 1, Univ.ContextSet.empty, []) side_eff in
(** Third step: inline the definitions *)
let rec subst_const i k t = match Constr.kind t with
| Const (c, u) ->
let data = try Some (Cmap_env.find c subst) with Not_found -> None in
begin match data with
| None -> t
| Some (Inl b) ->
(** [b] is closed but may refer to other constants *)
subst_const i k (Vars.subst_instance_constr u b)
| Some (Inr n) ->
mkRel (k + n - i)
end
| Rel n ->
(** Lift free rel variables *)
if n <= k then t
else mkRel (n + len - i - 1)
| _ -> Constr.map_with_binders ((+) 1) (fun k t -> subst_const i k t) k t
in
let map_args i (na, b, ty, opaque) =
(** Both the type and the body may mention other constants *)
let ty = subst_const (len - i - 1) 0 ty in
let b = subst_const (len - i - 1) 0 b in
(na, b, ty, opaque)
in
let args = List.mapi map_args args in
let body = subst_const 0 0 body in
let fold_arg (na, b, ty, opaque) accu =
if opaque then mkApp (mkLambda (na, ty, accu), [|b|])
else mkLetIn (na, b, ty, accu)
in
let body = List.fold_right fold_arg args body in
(body, ctx, sigs, len - 1)
let inline_private_constants env ((body, ctx), side_eff) =
let body, ctx', _, _ = inline_side_effects env body side_eff in
let ctx' = Univ.ContextSet.union ctx ctx' in
(body, ctx')
let check_signatures senv sl =
let curmb = Certificate.make senv in
let is_direct_ancestor accu mb =
match accu with
| None -> None
| Some curmb ->
try
let mb = CEphemeron.get mb in
if Certificate.check ~src:curmb ~dst:mb
then Some mb
else None
with CEphemeron.InvalidKey -> None in
let sl = List.fold_left is_direct_ancestor (Some curmb) sl in
match sl with
| None -> None
| Some mb ->
let univs = Certificate.universes mb in
Some (Univ.ContextSet.diff univs senv.univ)
type side_effect_declaration =
| DefinitionEff : Entries.definition_entry -> side_effect_declaration
| OpaqueEff : Constr.constr Entries.opaque_entry -> side_effect_declaration
let constant_entry_of_side_effect eff =
let cb = eff.seff_body in
let open Entries in
let univs =
match cb.const_universes with
| Monomorphic uctx ->
Monomorphic_entry uctx
| Polymorphic auctx ->
Polymorphic_entry (Univ.AUContext.names auctx, Univ.AUContext.repr auctx)
in
let p =
match cb.const_body with
| OpaqueDef b -> b
| Def b -> b
| _ -> assert false in
if Declareops.is_opaque cb then
OpaqueEff {
opaque_entry_body = p;
opaque_entry_secctx = Context.Named.to_vars cb.const_hyps;
opaque_entry_feedback = None;
opaque_entry_type = cb.const_type;
opaque_entry_universes = univs;
}
else
DefinitionEff {
const_entry_body = p;
const_entry_secctx = Some (Context.Named.to_vars cb.const_hyps);
const_entry_feedback = None;
const_entry_type = Some cb.const_type;
const_entry_universes = univs;
const_entry_inline_code = cb.const_inline_code }
let export_eff eff =
(eff.seff_constant, eff.seff_body)
let is_empty_private = function
| Opaqueproof.PrivateMonomorphic ctx -> Univ.ContextSet.is_empty ctx
| Opaqueproof.PrivatePolymorphic (_, ctx) -> Univ.ContextSet.is_empty ctx
let empty_private univs = match univs with
| Monomorphic _ -> Opaqueproof.PrivateMonomorphic Univ.ContextSet.empty
| Polymorphic auctx -> Opaqueproof.PrivatePolymorphic (Univ.AUContext.size auctx, Univ.ContextSet.empty)
let translate_direct_opaque env kn ce =
let cb, ctx = Term_typing.translate_opaque env kn ce in
let body = ce.Entries.opaque_entry_body, Univ.ContextSet.empty in
let handle _env c () = (c, Univ.ContextSet.empty, 0) in
let (c, u) = Term_typing.check_delayed handle ctx (body, ()) in
let () = assert (is_empty_private u) in
{ cb with const_body = OpaqueDef c }
let export_side_effects senv eff =
let env = senv.env in
let not_exists e = not (Environ.mem_constant e.seff_constant env) in
let aux (acc,sl) e =
if not (not_exists e) then acc, sl
else e :: acc, e.seff_certif :: sl in
let seff, signatures = List.fold_left aux ([],[]) (SideEffects.repr eff) in
let trusted = check_signatures senv signatures in
let push_seff env eff =
let { seff_constant = kn; seff_body = cb ; _ } = eff in
let env = Environ.add_constant kn (lift_constant cb) env in
match cb.const_universes with
| Polymorphic _ -> env
| Monomorphic ctx ->
Environ.push_context_set ~strict:true ctx env
in
match trusted with
| Some univs ->
univs, List.map export_eff seff
| None ->
let rec recheck_seff seff acc env = match seff with
| [] -> List.rev acc
| eff :: rest ->
let env, cb =
let kn = eff.seff_constant in
let ce = constant_entry_of_side_effect eff in
let open Entries in
let cb = match ce with
| DefinitionEff ce ->
Term_typing.translate_constant env kn (DefinitionEntry ce)
| OpaqueEff ce ->
translate_direct_opaque env kn ce
in
let eff = { eff with seff_body = cb } in
(push_seff env eff, export_eff eff)
in
recheck_seff rest (cb :: acc) env
in
Univ.ContextSet.empty, recheck_seff seff [] env
let push_opaque_proof pf senv =
let o, otab = Opaqueproof.create (library_dp_of_senv senv) pf (Environ.opaque_tables senv.env) in
let senv = { senv with env = Environ.set_opaque_tables senv.env otab } in
senv, o
let export_private_constants eff senv =
let uctx, exported = export_side_effects senv eff in
let senv = push_context_set ~strict:true uctx senv in
let map senv (kn, c) = match c.const_body with
| OpaqueDef p ->
let local = empty_private c.const_universes in
let senv, o = push_opaque_proof (Future.from_val (p, local)) senv in
senv, (kn, { c with const_body = OpaqueDef o })
| Def _ | Undef _ | Primitive _ as body ->
senv, (kn, { c with const_body = body })
in
let senv, bodies = List.fold_left_map map senv exported in
let exported = List.map (fun (kn, _) -> kn) exported in
let senv = List.fold_left add_constant_aux senv bodies in
exported, senv
let add_constant l decl senv =
let kn = Constant.make2 senv.modpath l in
let cb =
match decl with
| OpaqueEntry ce ->
let handle env body eff =
let body, uctx, signatures, skip = inline_side_effects env body eff in
let trusted = check_signatures senv signatures in
let trusted, uctx = match trusted with
| None -> 0, uctx
| Some univs -> skip, Univ.ContextSet.union univs uctx
in
body, uctx, trusted
in
let cb, ctx = Term_typing.translate_opaque senv.env kn ce in
let map pf = Term_typing.check_delayed handle ctx pf in
let pf = Future.chain ce.Entries.opaque_entry_body map in
{ cb with const_body = OpaqueDef pf }
| ConstantEntry ce ->
Term_typing.translate_constant senv.env kn ce
in
let senv =
let senv, cb, delayed_cst = match cb.const_body with
| OpaqueDef fc ->
let senv, o = push_opaque_proof fc senv in
let delayed_cst =
if not (Declareops.constant_is_polymorphic cb) then
let map (_, u) = match u with
| Opaqueproof.PrivateMonomorphic ctx -> ctx
| Opaqueproof.PrivatePolymorphic _ -> assert false
in
let fc = Future.chain fc map in
match Future.peek_val fc with
| None -> [Later fc]
| Some c -> [Now c]
else []
in
senv, { cb with const_body = OpaqueDef o }, delayed_cst
| Undef _ | Def _ | Primitive _ as body ->
senv, { cb with const_body = body }, []
in
let senv = add_constant_aux senv (kn, cb) in
add_constraints_list delayed_cst senv
in
let senv =
match decl with
| ConstantEntry (Entries.PrimitiveEntry { Entries.prim_entry_content = CPrimitives.OT_type t; _ }) ->
if sections_are_opened senv then CErrors.anomaly (Pp.str "Primitive type not allowed in sections");
add_retroknowledge (Retroknowledge.Register_type(t,kn)) senv
| _ -> senv
in
kn, senv
let add_constant ?typing_flags l decl senv =
with_typing_flags ?typing_flags senv ~f:(add_constant l decl)
let add_private_constant l decl senv : (Constant.t * private_constants) * safe_environment =
let kn = Constant.make2 senv.modpath l in
let cb =
match decl with
| OpaqueEff ce ->
translate_direct_opaque senv.env kn ce
| DefinitionEff ce ->
Term_typing.translate_constant senv.env kn (Entries.DefinitionEntry ce)
in
let dcb = match cb.const_body with
| Def _ as const_body -> { cb with const_body }
| OpaqueDef _ ->
{ cb with const_body = Undef None }
| Undef _ | Primitive _ -> assert false
in
let senv = add_constant_aux senv (kn, dcb) in
let eff =
let from_env = CEphemeron.create (Certificate.make senv) in
let eff = {
seff_certif = from_env;
seff_constant = kn;
seff_body = cb;
} in
SideEffects.add eff empty_private_constants
in
(kn, eff), senv
(** Insertion of inductive types *)
let check_mind mie lab =
let open Entries in
match mie.mind_entry_inds with
| [] -> assert false
| oie::_ ->
assert (Id.equal (Label.to_id lab) oie.mind_entry_typename)
let add_checked_mind kn mib senv =
let mib =
match mib.mind_hyps with [] -> Declareops.hcons_mind mib | _ -> mib
in
add_field (MutInd.label kn,SFBmind mib) (I kn) senv
let add_mind l mie senv =
let () = check_mind mie l in
let kn = MutInd.make2 senv.modpath l in
let sec_univs = Option.map Section.all_poly_univs senv.sections
in
let mib = Indtypes.check_inductive senv.env ~sec_univs kn mie in
kn, add_checked_mind kn mib senv
let add_mind ?typing_flags l mie senv =
with_typing_flags ?typing_flags senv ~f:(add_mind l mie)
(** Insertion of module types *)
let add_modtype l params_mte inl senv =
let mp = MPdot(senv.modpath, l) in
let mtb, cst = Mod_typing.translate_modtype senv.env mp inl params_mte in
let senv = push_context_set ~strict:true (Univ.LSet.empty,cst) senv in
let mtb = Declareops.hcons_module_type mtb in
let senv = add_field (l,SFBmodtype mtb) MT senv in
mp, senv
(** full_add_module adds module with universes and constraints *)
let full_add_module mb senv =
let dp = ModPath.dp mb.mod_mp in
let linkinfo = Nativecode.link_info_of_dirpath dp in
{ senv with env = Modops.add_linked_module mb linkinfo senv.env }
let full_add_module_type mp mt senv =
{ senv with env = Modops.add_module_type mp mt senv.env }
(** Insertion of modules *)
let add_module l me inl senv =
let mp = MPdot(senv.modpath, l) in
let mb, cst = Mod_typing.translate_module senv.env mp inl me in
let senv = push_context_set ~strict:true (Univ.LSet.empty,cst) senv in
let mb = Declareops.hcons_module_body mb in
let senv = add_field (l,SFBmodule mb) M senv in
let senv =
if Modops.is_functor mb.mod_type then senv
else update_resolver (Mod_subst.add_delta_resolver mb.mod_delta) senv
in
(mp,mb.mod_delta),senv
(** {6 Starting / ending interactive modules and module types } *)
let start_module l senv =
let () = check_modlabel l senv in
let () = check_empty_context senv in
let mp = MPdot(senv.modpath, l) in
mp,
{ empty_environment with
env = senv.env;
modresolver = senv.modresolver;
paramresolver = senv.paramresolver;
modpath = mp;
modvariant = STRUCT ([],senv);
required = senv.required }
let start_modtype l senv =
let () = check_modlabel l senv in
let () = check_empty_context senv in
let mp = MPdot(senv.modpath, l) in
mp,
{ empty_environment with
env = senv.env;
modresolver = senv.modresolver;
paramresolver = senv.paramresolver;
modpath = mp;
modvariant = SIG ([], senv);
required = senv.required }
(** Adding parameters to the current module or module type.
This module should have been freshly started. *)
let add_module_parameter mbid mte inl senv =
let () = check_empty_struct senv in
let mp = MPbound mbid in
let mtb, cst = Mod_typing.translate_modtype senv.env mp inl ([],mte) in
let senv = push_context_set ~strict:true (Univ.LSet.empty,cst) senv in
let senv = full_add_module_type mp mtb senv in
let new_variant = match senv.modvariant with
| STRUCT (params,oldenv) -> STRUCT ((mbid,mtb) :: params, oldenv)
| SIG (params,oldenv) -> SIG ((mbid,mtb) :: params, oldenv)
| _ -> assert false
in
let new_paramresolver =
if Modops.is_functor mtb.mod_type then senv.paramresolver
else Mod_subst.add_delta_resolver mtb.mod_delta senv.paramresolver
in
mtb.mod_delta,
{ senv with
modvariant = new_variant;
paramresolver = new_paramresolver }
let functorize params init =
List.fold_left (fun e (mbid,mt) -> MoreFunctor(mbid,mt,e)) init params
let propagate_loads senv =
List.fold_left
(fun env (_,mb) -> full_add_module mb env)
senv
(List.rev senv.loads)
(** Build the module body of the current module, taking in account
a possible return type (_:T) *)
let functorize_module params mb =
let f x = functorize params x in
{ mb with
mod_expr = Modops.implem_smartmap f f mb.mod_expr;
mod_type = f mb.mod_type;
mod_type_alg = Option.map f mb.mod_type_alg }
let build_module_body params restype senv =
let struc = NoFunctor (List.rev senv.revstruct) in
let restype' = Option.map (fun (ty,inl) -> (([],ty),inl)) restype in
let mb, cst =
Mod_typing.finalize_module senv.env senv.modpath
(struc,None,senv.modresolver,Univ.Constraint.empty) restype'
in
let mb' = functorize_module params mb in
{ mb' with mod_retroknowledge = ModBodyRK senv.local_retroknowledge }, cst
(** Returning back to the old pre-interactive-module environment,
with one extra component and some updated fields
(constraints, required, etc) *)
let allow_delayed_constants = ref false
let propagate_senv newdef newenv newresolver senv oldsenv =
let now_cst, later_cst = List.partition Future.is_val senv.future_cst in
if not !allow_delayed_constants && later_cst <> [] then
CErrors.anomaly ~label:"safe_typing"
Pp.(str "True Future.t were created for opaque constants even if -async-proofs is off");
{ oldsenv with
env = newenv;
modresolver = newresolver;
revstruct = newdef::oldsenv.revstruct;
modlabels = Label.Set.add (fst newdef) oldsenv.modlabels;
univ =
List.fold_left (fun acc cst ->
Univ.ContextSet.union acc (Future.force cst))
(Univ.ContextSet.union senv.univ oldsenv.univ)
now_cst;
future_cst = later_cst @ oldsenv.future_cst;
engagement = senv.engagement;
required = senv.required;
loads = senv.loads@oldsenv.loads;
local_retroknowledge =
senv.local_retroknowledge@oldsenv.local_retroknowledge;
}
let end_module l restype senv =
let mp = senv.modpath in
let params, oldsenv = check_struct senv.modvariant in
let () = check_current_label l mp in
let () = check_empty_context senv in
let mbids = List.rev_map fst params in
let mb, cst = build_module_body params restype senv in
let senv = push_context_set ~strict:true (Univ.LSet.empty,cst) senv in
let newenv = Environ.set_opaque_tables oldsenv.env (Environ.opaque_tables senv.env) in
let newenv = set_engagement_opt newenv senv.engagement in
let newenv = Environ.set_universes (Environ.universes senv.env) newenv in
let senv' = propagate_loads { senv with env = newenv } in
let newenv = Modops.add_module mb newenv in
let newresolver =
if Modops.is_functor mb.mod_type then oldsenv.modresolver
else Mod_subst.add_delta_resolver mb.mod_delta oldsenv.modresolver
in
(mp,mbids,mb.mod_delta),
propagate_senv (l,SFBmodule mb) newenv newresolver senv' oldsenv
let build_mtb mp sign delta =
{ mod_mp = mp;
mod_expr = ();
mod_type = sign;
mod_type_alg = None;
mod_delta = delta;
mod_retroknowledge = ModTypeRK }
let end_modtype l senv =
let mp = senv.modpath in
let params, oldsenv = check_sig senv.modvariant in
let () = check_current_label l mp in
let () = check_empty_context senv in
let mbids = List.rev_map fst params in
let newenv = Environ.set_opaque_tables oldsenv.env (Environ.opaque_tables senv.env) in
let newenv = set_engagement_opt newenv senv.engagement in
let newenv = Environ.set_universes (Environ.universes senv.env) newenv in
let senv' = propagate_loads {senv with env=newenv} in
let auto_tb = functorize params (NoFunctor (List.rev senv.revstruct)) in
let mtb = build_mtb mp auto_tb senv.modresolver in
let newenv = Environ.add_modtype mtb senv'.env in
let newresolver = oldsenv.modresolver in
(mp,mbids),
propagate_senv (l,SFBmodtype mtb) newenv newresolver senv' oldsenv
(** {6 Inclusion of module or module type } *)
let add_include me is_module inl senv =
let open Mod_typing in
let mp_sup = senv.modpath in
let sign,(),resolver,cst =
translate_mse_incl is_module senv.env mp_sup inl me
in
let senv = push_context_set ~strict:true (Univ.LSet.empty,cst) senv in
let rec compute_sign sign mb resolver senv =
match sign with
| MoreFunctor(mbid,mtb,str) ->
let cst_sub = Subtyping.check_subtypes senv.env mb mtb in
let senv =
add_constraints
(Now (Univ.ContextSet.add_constraints cst_sub Univ.ContextSet.empty))
senv in
let mpsup_delta =
Modops.inline_delta_resolver senv.env inl mp_sup mbid mtb mb.mod_delta
in
let subst = Mod_subst.map_mbid mbid mp_sup mpsup_delta in
let resolver = Mod_subst.subst_codom_delta_resolver subst resolver in
compute_sign (Modops.subst_signature subst str) mb resolver senv
| NoFunctor str -> resolver,str,senv
in
let resolver,str,senv =
let struc = NoFunctor (List.rev senv.revstruct) in
let mtb = build_mtb mp_sup struc senv.modresolver in
compute_sign sign mtb resolver senv
in
let senv = update_resolver (Mod_subst.add_delta_resolver resolver) senv
in
let add senv ((l,elem) as field) =
let new_name = match elem with
| SFBconst _ ->
C (Mod_subst.constant_of_delta_kn resolver (KerName.make mp_sup l))
| SFBmind _ ->
I (Mod_subst.mind_of_delta_kn resolver (KerName.make mp_sup l))
| SFBmodule _ -> M
| SFBmodtype _ -> MT
in
add_field ~is_include:true field new_name senv
in
resolver, List.fold_left add senv str
(** {6 Libraries, i.e. compiled modules } *)
let module_of_library lib = lib.comp_mod
let univs_of_library lib = lib.comp_univs
(** FIXME: MS: remove?*)
let current_modpath senv = senv.modpath
let current_dirpath senv = Names.ModPath.dp (current_modpath senv)
let start_library dir senv =
check_initial senv;
assert (not (DirPath.is_empty dir));
let mp = MPfile dir in
mp,
{ empty_environment with
env = senv.env;
modpath = mp;
modvariant = LIBRARY;
required = senv.required }
let export ?except ~output_native_objects senv dir =
let senv = join_safe_environment ?except senv in
assert(senv.future_cst = []);
let () = check_current_library dir senv in
let mp = senv.modpath in
let str = NoFunctor (List.rev senv.revstruct) in
let mb =
{ mod_mp = mp;
mod_expr = FullStruct;
mod_type = str;
mod_type_alg = None;
mod_delta = senv.modresolver;
mod_retroknowledge = ModBodyRK senv.local_retroknowledge
}
in
let ast, symbols =
if output_native_objects then
Nativelibrary.dump_library mp senv.env str
else [], Nativevalues.empty_symbols
in
let lib = {
comp_name = dir;
comp_mod = mb;
comp_univs = senv.univ;
comp_deps = Array.of_list (DPmap.bindings senv.required);
comp_enga = Environ.engagement senv.env;
} in
mp, lib, (ast, symbols)
let import lib cst vodigest senv =
check_required senv.required lib.comp_deps;
check_engagement senv.env lib.comp_enga;
if DirPath.equal (ModPath.dp senv.modpath) lib.comp_name then
CErrors.user_err ~hdr:"Safe_typing.import"
(Pp.strbrk "Cannot load a library with the same name as the current one.");
let mp = MPfile lib.comp_name in
let mb = lib.comp_mod in
let env = Environ.push_context_set ~strict:true
(Univ.ContextSet.union lib.comp_univs cst)
senv.env
in
let env =
let linkinfo = Nativecode.link_info_of_dirpath lib.comp_name in
Modops.add_linked_module mb linkinfo env
in
let sections =
Option.map (Section.map_custom (fun custom ->
{custom with rev_reimport = (lib,cst,vodigest) :: custom.rev_reimport}))
senv.sections
in
mp,
{ senv with
env;
paramresolver = Mod_subst.add_delta_resolver mb.mod_delta senv.paramresolver;
required = DPmap.add lib.comp_name vodigest senv.required;
loads = (mp,mb)::senv.loads;
sections;
}
(** {6 Interactive sections *)
let open_section senv =
let custom = {
rev_env = senv.env;
rev_univ = senv.univ;
rev_objlabels = senv.objlabels;
rev_reimport = [];
} in
let sections = Section.open_section ~custom senv.sections in
{ senv with sections=Some sections }
let close_section senv =
let open Section in
let sections0 = get_section senv.sections in
let env0 = senv.env in
let sections, entries, cstrs, revert = Section.close_section sections0 in
let rec pop_revstruct accu entries revstruct = match entries, revstruct with
| [], revstruct -> accu, revstruct
| _ :: _, [] ->
CErrors.anomaly (Pp.str "Unmatched section data")
| entry :: entries, (lbl, leaf) :: revstruct ->
let data = match entry, leaf with
| SecDefinition kn, SFBconst cb ->
let () = assert (Label.equal lbl (Constant.label kn)) in
`Definition (kn, cb)
| SecInductive ind, SFBmind mib ->
let () = assert (Label.equal lbl (MutInd.label ind)) in
`Inductive (ind, mib)
| (SecDefinition _ | SecInductive _), (SFBconst _ | SFBmind _) ->
CErrors.anomaly (Pp.str "Section content mismatch")
| (SecDefinition _ | SecInductive _), (SFBmodule _ | SFBmodtype _) ->
CErrors.anomaly (Pp.str "Module inside a section")
in
pop_revstruct (data :: accu) entries revstruct
in
let redo, revstruct = pop_revstruct [] entries senv.revstruct in
let { rev_env = env; rev_univ = univ; rev_objlabels = objlabels; rev_reimport } = revert in
let env = Environ.set_opaque_tables env (Environ.opaque_tables senv.env) in
let senv = { senv with env; revstruct; sections; univ; objlabels; } in
let senv = List.fold_left (fun senv (lib,cst,vodigest) -> snd (import lib cst vodigest senv))
senv (List.rev rev_reimport)
in
let senv = push_context_set ~strict:true cstrs senv in
let modlist = Section.replacement_context env0 sections0 in
let cooking_info seg =
let { abstr_ctx; abstr_subst; abstr_uctx } = seg in
let abstract = (abstr_ctx, abstr_subst, abstr_uctx) in
{ Opaqueproof.modlist; abstract }
in
let fold senv = function
| `Definition (kn, cb) ->
let info = cooking_info (Section.segment_of_constant env0 kn sections0) in
let r = { Cooking.from = cb; info } in
let cb = Term_typing.translate_recipe senv.env kn r in
add_constant_aux senv (kn, cb)
| `Inductive (ind, mib) ->
let info = cooking_info (Section.segment_of_inductive env0 ind sections0) in
let mib = Cooking.cook_inductive info mib in
add_checked_mind ind mib senv
in
List.fold_left fold senv redo
(** {6 Safe typing } *)
type judgment = Environ.unsafe_judgment
let j_val j = j.Environ.uj_val
let j_type j = j.Environ.uj_type
let typing senv = Typeops.infer (env_of_senv senv)
(** {6 Retroknowledge / native compiler } *)
let register_inline kn senv =
let open Environ in
if not (evaluable_constant kn senv.env) then
CErrors.user_err Pp.(str "Register inline: an evaluable constant is expected");
let env = senv.env in
let cb = lookup_constant kn env in
let cb = {cb with const_inline_code = true} in
let env = add_constant kn cb env in { senv with env}
let check_register_ind (type t) ind (r : t CPrimitives.prim_ind) env =
let (mb,ob as spec) = Inductive.lookup_mind_specif env ind in
let check_if b msg =
if not b then
CErrors.user_err ~hdr:"check_register_ind" msg in
check_if (Int.equal (Array.length mb.mind_packets) 1) Pp.(str "A non mutual inductive is expected");
let is_monomorphic = function Monomorphic _ -> true | Polymorphic _ -> false in
check_if (is_monomorphic mb.mind_universes) Pp.(str "A universe monomorphic inductive type is expected");
check_if (not @@ Inductive.is_private spec) Pp.(str "A non-private inductive type is expected");
let check_nparams n =
check_if (Int.equal mb.mind_nparams n) Pp.(str "An inductive type with " ++ int n ++ str " parameters is expected")
in
let check_nconstr n =
check_if (Int.equal (Array.length ob.mind_consnames) n)
Pp.(str "an inductive type with " ++ int n ++ str " constructors is expected")
in
let check_name pos s =
check_if (Id.equal ob.mind_consnames.(pos) (Id.of_string s))
Pp.(str"the " ++ int (pos + 1) ++ str
"th constructor does not have the expected name: " ++ str s) in
let check_type pos t =
check_if (Constr.equal t ob.mind_user_lc.(pos))
Pp.(str"the " ++ int (pos + 1) ++ str
"th constructor does not have the expected type") in
let check_type_cte pos = check_type pos (Constr.mkRel 1) in
match r with
| CPrimitives.PIT_bool ->
check_nparams 0;
check_nconstr 2;
check_name 0 "true";
check_type_cte 0;
check_name 1 "false";
check_type_cte 1
| CPrimitives.PIT_carry ->
check_nparams 1;
check_nconstr 2;
let test_type pos =
let c = ob.mind_user_lc.(pos) in
let s = Pp.(str"the " ++ int (pos + 1) ++ str
"th constructor does not have the expected type") in
check_if (Constr.isProd c) s;
let (_,d,cd) = Constr.destProd c in
check_if (Constr.is_Type d) s;
check_if
(Constr.equal
(mkProd (Context.anonR,mkRel 1, mkApp (mkRel 3,[|mkRel 2|])))
cd)
s in
check_name 0 "C0";
test_type 0;
check_name 1 "C1";
test_type 1;
| CPrimitives.PIT_pair ->
check_nparams 2;
check_nconstr 1;
check_name 0 "pair";
let c = ob.mind_user_lc.(0) in
let s = Pp.str "the constructor does not have the expected type" in
begin match Term.decompose_prod c with
| ([_,b;_,a;_,_B;_,_A], codom) ->
check_if (is_Type _A) s;
check_if (is_Type _B) s;
check_if (Constr.equal a (mkRel 2)) s;
check_if (Constr.equal b (mkRel 2)) s;
check_if (Constr.equal codom (mkApp (mkRel 5,[|mkRel 4; mkRel 3|]))) s
| _ -> check_if false s
end
| CPrimitives.PIT_cmp ->
check_nparams 0;
check_nconstr 3;
check_name 0 "Eq";
check_type_cte 0;
check_name 1 "Lt";
check_type_cte 1;
check_name 2 "Gt";
check_type_cte 2
| CPrimitives.PIT_f_cmp ->
check_nconstr 4;
check_name 0 "FEq";
check_type_cte 0;
check_name 1 "FLt";
check_type_cte 1;
check_name 2 "FGt";
check_type_cte 2;
check_name 3 "FNotComparable";
check_type_cte 3
| CPrimitives.PIT_f_class ->
check_nconstr 9;
check_name 0 "PNormal";
check_type_cte 0;
check_name 1 "NNormal";
check_type_cte 1;
check_name 2 "PSubn";
check_type_cte 2;
check_name 3 "NSubn";
check_type_cte 3;
check_name 4 "PZero";
check_type_cte 4;
check_name 5 "NZero";
check_type_cte 5;
check_name 6 "PInf";
check_type_cte 6;
check_name 7 "NInf";
check_type_cte 7;
check_name 8 "NaN";
check_type_cte 8
let register_inductive ind prim senv =
check_register_ind ind prim senv.env;
let action = Retroknowledge.Register_ind(prim,ind) in
add_retroknowledge action senv
let add_constraints c =
add_constraints
(Now (Univ.ContextSet.add_constraints c Univ.ContextSet.empty))
let set_strategy k l e = { e with env =
(Environ.set_oracle e.env
(Conv_oracle.set_strategy (Environ.oracle e.env) k l)) }