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-rw-r--r--kernel/subtyping.ml255
1 files changed, 78 insertions, 177 deletions
diff --git a/kernel/subtyping.ml b/kernel/subtyping.ml
index c8ceb064..2e9a33a9 100644
--- a/kernel/subtyping.ml
+++ b/kernel/subtyping.ml
@@ -1,9 +1,11 @@
(************************************************************************)
-(* v * The Coq Proof Assistant / The Coq Development Team *)
-(* <O___,, * INRIA - CNRS - LIX - LRI - PPS - Copyright 1999-2016 *)
+(* * 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 *)
+(* // * 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) *)
(************************************************************************)
(* Created by Jacek Chrzaszcz, Aug 2002 as part of the implementation of
@@ -12,10 +14,10 @@
(* This module checks subtyping of module types *)
(*i*)
-open Util
open Names
open Univ
-open Term
+open Util
+open Constr
open Declarations
open Declareops
open Reduction
@@ -63,11 +65,11 @@ let empty_labmap = { objs = Label.Map.empty; mods = Label.Map.empty }
let get_obj mp map l =
try Label.Map.find l map.objs
- with Not_found -> error_no_such_label_sub l (string_of_mp mp)
+ with Not_found -> error_no_such_label_sub l (ModPath.to_string mp)
let get_mod mp map l =
try Label.Map.find l map.mods
- with Not_found -> error_no_such_label_sub l (string_of_mp mp)
+ with Not_found -> error_no_such_label_sub l (ModPath.to_string mp)
let make_labmap mp list =
let add_one (l,e) map =
@@ -77,19 +79,26 @@ let make_labmap mp list =
| SFBmodule mb -> { map with mods = Label.Map.add l (Module mb) map.mods }
| SFBmodtype mtb -> { map with mods = Label.Map.add l (Modtype mtb) map.mods }
in
- List.fold_right add_one list empty_labmap
+ CList.fold_right add_one list empty_labmap
-let check_conv_error error why cst poly u f env a1 a2 =
+let check_conv_error error why cst poly f env a1 a2 =
try
- let a1 = Vars.subst_instance_constr u a1 in
- let a2 = Vars.subst_instance_constr u a2 in
let cst' = f env (Environ.universes env) a1 a2 in
if poly then
if Constraint.is_empty cst' then cst
else error (IncompatiblePolymorphism (env, a1, a2))
else Constraint.union cst cst'
with NotConvertible -> error why
+ | Univ.UniverseInconsistency e -> error (IncompatibleUniverses e)
+
+let check_polymorphic_instance error env auctx1 auctx2 =
+ if not (Univ.AUContext.size auctx1 == Univ.AUContext.size auctx2) then
+ error IncompatibleInstances
+ else if not (UGraph.check_subtype (Environ.universes env) auctx2 auctx1) then
+ error (IncompatibleConstraints auctx1)
+ else
+ Environ.push_context ~strict:false (Univ.AUContext.repr auctx2) env
(* for now we do not allow reorderings *)
@@ -97,58 +106,39 @@ let check_inductive cst env mp1 l info1 mp2 mib2 spec2 subst1 subst2 reso1 reso2
let kn1 = KerName.make2 mp1 l in
let kn2 = KerName.make2 mp2 l in
let error why = error_signature_mismatch l spec2 why in
- let check_conv why cst poly u f = check_conv_error error why cst poly u f in
+ let check_conv why cst poly f = check_conv_error error why cst poly f in
let mib1 =
match info1 with
| IndType ((_,0), mib) -> Declareops.subst_mind_body subst1 mib
| _ -> error (InductiveFieldExpected mib2)
in
- let poly =
- if not (mib1.mind_polymorphic == mib2.mind_polymorphic) then
- error (PolymorphicStatusExpected mib2.mind_polymorphic)
- else mib2.mind_polymorphic
- in
- let u =
- if poly then
- CErrors.error ("Checking of subtyping of polymorphic" ^
- " inductive types not implemented")
- else Instance.empty
+ let env, inst =
+ match mib1.mind_universes, mib2.mind_universes with
+ | Monomorphic_ind _, Monomorphic_ind _ -> env, Univ.Instance.empty
+ | Polymorphic_ind auctx, Polymorphic_ind auctx' ->
+ let env = check_polymorphic_instance error env auctx auctx' in
+ env, Univ.make_abstract_instance auctx'
+ | Cumulative_ind cumi, Cumulative_ind cumi' ->
+ (** Currently there is no way to control variance of inductive types, but
+ just in case we require that they are in a subtyping relation. *)
+ let () =
+ let v = ACumulativityInfo.variance cumi in
+ let v' = ACumulativityInfo.variance cumi' in
+ if not (Array.for_all2 Variance.check_subtype v' v) then
+ CErrors.anomaly Pp.(str "Variance of " ++ KerName.print kn1 ++
+ str " is not compatible with the one of " ++ KerName.print kn2)
+ in
+ let auctx = Univ.ACumulativityInfo.univ_context cumi in
+ let auctx' = Univ.ACumulativityInfo.univ_context cumi' in
+ let env = check_polymorphic_instance error env auctx auctx' in
+ env, Univ.make_abstract_instance auctx'
+ | _ -> error
+ (CumulativeStatusExpected (Declareops.inductive_is_cumulative mib2))
in
let mib2 = Declareops.subst_mind_body subst2 mib2 in
- let check_inductive_type cst name env t1 t2 =
-
- (* Due to sort-polymorphism in inductive types, the conclusions of
- t1 and t2, if in Type, are generated as the least upper bounds
- of the types of the constructors.
-
- By monotonicity of the infered l.u.b. wrt subtyping (i.e. if X:U
- |- T(X):s and |- M:U' and U'<=U then infer_type(T(M))<=s), each
- universe in the conclusion of t1 has an bounding universe in
- the conclusion of t2, so that we don't need to check the
- subtyping of the conclusions of t1 and t2.
-
- Even if we'd like to recheck it, the inference of constraints
- is not designed to deal with algebraic constraints of the form
- max-univ(u1..un) <= max-univ(u'1..u'n), so that it is not easy
- to recheck it (in short, we would need the actual graph of
- constraints as input while type checking is currently designed
- to output a set of constraints instead) *)
-
- (* So we cheat and replace the subtyping problem on algebraic
- constraints of the form max-univ(u1..un) <= max-univ(u'1..u'n)
- (that we know are necessary true) by trivial constraints that
- the constraint generator knows how to deal with *)
-
- let (ctx1,s1) = dest_arity env t1 in
- let (ctx2,s2) = dest_arity env t2 in
- let s1,s2 =
- match s1, s2 with
- | Type _, Type _ -> (* shortcut here *) prop_sort, prop_sort
- | (Prop _, Type _) | (Type _,Prop _) ->
- error (NotConvertibleInductiveField name)
- | _ -> (s1, s2) in
+ let check_inductive_type cst name t1 t2 =
check_conv (NotConvertibleInductiveField name)
- cst poly u infer_conv_leq env (mkArity (ctx1,s1)) (mkArity (ctx2,s2))
+ cst (inductive_is_polymorphic mib1) infer_conv_leq env t1 t2
in
let check_packet cst p1 p2 =
@@ -166,24 +156,23 @@ let check_inductive cst env mp1 l info1 mp2 mib2 spec2 subst1 subst2 reso1 reso2
(* nparams done *)
(* params_ctxt done because part of the inductive types *)
(* Don't check the sort of the type if polymorphic *)
- let ty1, cst1 = constrained_type_of_inductive env ((mib1,p1),u) in
- let ty2, cst2 = constrained_type_of_inductive env ((mib2,p2),u) in
- let cst = Constraint.union cst1 (Constraint.union cst2 cst) in
- let cst = check_inductive_type cst p2.mind_typename env ty1 ty2 in
+ let ty1 = type_of_inductive env ((mib1, p1), inst) in
+ let ty2 = type_of_inductive env ((mib2, p2), inst) in
+ let cst = check_inductive_type cst p2.mind_typename ty1 ty2 in
cst
in
- let mind = mind_of_kn kn1 in
+ let mind = MutInd.make1 kn1 in
let check_cons_types i cst p1 p2 =
Array.fold_left3
(fun cst id t1 t2 -> check_conv (NotConvertibleConstructorField id) cst
- poly u infer_conv env t1 t2)
+ (inductive_is_polymorphic mib1) infer_conv env t1 t2)
cst
p2.mind_consnames
- (arities_of_specif (mind,u) (mib1,p1))
- (arities_of_specif (mind,u) (mib2,p2))
+ (arities_of_specif (mind, inst) (mib1, p1))
+ (arities_of_specif (mind, inst) (mib2, p2))
in
let check f test why = if not (test (f mib1) (f mib2)) then error (why (f mib2)) in
- check (fun mib -> mib.mind_finite<>Decl_kinds.CoFinite) (==) (fun x -> FiniteInductiveFieldExpected x);
+ check (fun mib -> mib.mind_finite<>CoFinite) (==) (fun x -> FiniteInductiveFieldExpected x);
check (fun mib -> mib.mind_ntypes) Int.equal (fun x -> InductiveNumbersFieldExpected x);
assert (List.is_empty mib1.mind_hyps && List.is_empty mib2.mind_hyps);
assert (Array.length mib1.mind_packets >= 1
@@ -207,7 +196,7 @@ let check_inductive cst env mp1 l info1 mp2 mib2 spec2 subst1 subst2 reso1 reso2
(* we check that records and their field names are preserved. *)
check (fun mib -> mib.mind_record <> None) (==) (fun x -> RecordFieldExpected x);
if mib1.mind_record <> None then begin
- let rec names_prod_letin t = match kind_of_term t with
+ let rec names_prod_letin t = match kind t with
| Prod(n,_,t) -> n::(names_prod_letin t)
| LetIn(n,_,_,t) -> n::(names_prod_letin t)
| Cast(t,_,_) -> names_prod_letin t
@@ -236,55 +225,10 @@ let check_inductive cst env mp1 l info1 mp2 mib2 spec2 subst1 subst2 reso1 reso2
let check_constant cst env mp1 l info1 cb2 spec2 subst1 subst2 =
let error why = error_signature_mismatch l spec2 why in
- let check_conv cst poly u f = check_conv_error error cst poly u f in
- let check_type poly u cst env t1 t2 =
-
+ let check_conv cst poly f = check_conv_error error cst poly f in
+ let check_type poly cst env t1 t2 =
let err = NotConvertibleTypeField (env, t1, t2) in
-
- (* If the type of a constant is generated, it may mention
- non-variable algebraic universes that the general conversion
- algorithm is not ready to handle. Anyway, generated types of
- constants are functions of the body of the constant. If the
- bodies are the same in environments that are subtypes one of
- the other, the types are subtypes too (i.e. if Gamma <= Gamma',
- Gamma |- A |> T, Gamma |- A' |> T' and Gamma |- A=A' then T <= T').
- Hence they don't have to be checked again *)
-
- let t1,t2 =
- if isArity t2 then
- let (ctx2,s2) = destArity t2 in
- match s2 with
- | Type v when not (is_univ_variable v) ->
- (* The type in the interface is inferred and is made of algebraic
- universes *)
- begin try
- let (ctx1,s1) = dest_arity env t1 in
- match s1 with
- | Type u when not (is_univ_variable u) ->
- (* Both types are inferred, no need to recheck them. We
- cheat and collapse the types to Prop *)
- mkArity (ctx1,prop_sort), mkArity (ctx2,prop_sort)
- | Prop _ ->
- (* The type in the interface is inferred, it may be the case
- that the type in the implementation is smaller because
- the body is more reduced. We safely collapse the upper
- type to Prop *)
- mkArity (ctx1,prop_sort), mkArity (ctx2,prop_sort)
- | Type _ ->
- (* The type in the interface is inferred and the type in the
- implementation is not inferred or is inferred but from a
- more reduced body so that it is just a variable. Since
- constraints of the form "univ <= max(...)" are not
- expressible in the system of algebraic universes: we fail
- (the user has to use an explicit type in the interface *)
- error NoTypeConstraintExpected
- with NotArity ->
- error err end
- | _ ->
- t1,t2
- else
- (t1,t2) in
- check_conv err cst poly u infer_conv_leq env t1 t2
+ check_conv err cst poly infer_conv_leq env t1 t2
in
match info1 with
| Constant cb1 ->
@@ -292,43 +236,21 @@ let check_constant cst env mp1 l info1 cb2 spec2 subst1 subst2 =
let cb1 = Declareops.subst_const_body subst1 cb1 in
let cb2 = Declareops.subst_const_body subst2 cb2 in
(* Start by checking universes *)
- let poly =
- if not (cb1.const_polymorphic == cb2.const_polymorphic) then
- error (PolymorphicStatusExpected cb2.const_polymorphic)
- else cb2.const_polymorphic
- in
- let cst', env', u =
- if poly then
- let ctx1 = Univ.instantiate_univ_context cb1.const_universes in
- let ctx2 = Univ.instantiate_univ_context cb2.const_universes in
- let inst1, ctx1 = Univ.UContext.dest ctx1 in
- let inst2, ctx2 = Univ.UContext.dest ctx2 in
- if not (Univ.Instance.length inst1 == Univ.Instance.length inst2) then
- error IncompatibleInstances
- else
- let cstrs = Univ.enforce_eq_instances inst1 inst2 cst in
- let cstrs = Univ.Constraint.union cstrs ctx2 in
- try
- (* The environment with the expected universes plus equality
- of the body instances with the expected instance *)
- let ctxi = Univ.Instance.append inst1 inst2 in
- let ctx = Univ.UContext.make (ctxi, cstrs) in
- let env = Environ.push_context ctx env in
- (* Check that the given definition does not add any constraint over
- the expected ones, so that it can be used in place of
- the original. *)
- if UGraph.check_constraints ctx1 (Environ.universes env) then
- cstrs, env, inst2
- else error (IncompatibleConstraints ctx1)
- with Univ.UniverseInconsistency incon ->
- error (IncompatibleUniverses incon)
- else
- cst, env, Univ.Instance.empty
+ let poly, env =
+ match cb1.const_universes, cb2.const_universes with
+ | Monomorphic_const _, Monomorphic_const _ ->
+ false, env
+ | Polymorphic_const auctx1, Polymorphic_const auctx2 ->
+ true, check_polymorphic_instance error env auctx1 auctx2
+ | Monomorphic_const _, Polymorphic_const _ ->
+ error (PolymorphicStatusExpected true)
+ | Polymorphic_const _, Monomorphic_const _ ->
+ error (PolymorphicStatusExpected false)
in
(* Now check types *)
- let typ1 = Typeops.type_of_constant_type env' cb1.const_type in
- let typ2 = Typeops.type_of_constant_type env' cb2.const_type in
- let cst = check_type poly u cst env' typ1 typ2 in
+ let typ1 = cb1.const_type in
+ let typ2 = cb2.const_type in
+ let cst = check_type poly cst env typ1 typ2 in
(* Now we check the bodies:
- A transparent constant can only be implemented by a compatible
transparent constant.
@@ -345,40 +267,19 @@ let check_constant cst env mp1 l info1 cb2 spec2 subst1 subst2 =
Anyway [check_conv] will handle that afterwards. *)
let c1 = Mod_subst.force_constr lc1 in
let c2 = Mod_subst.force_constr lc2 in
- check_conv NotConvertibleBodyField cst poly u infer_conv env' c1 c2))
+ check_conv NotConvertibleBodyField cst poly infer_conv env c1 c2))
| IndType ((kn,i),mind1) ->
- ignore (CErrors.error (
+ CErrors.user_err Pp.(str @@
"The kernel does not recognize yet that a parameter can be " ^
"instantiated by an inductive type. Hint: you can rename the " ^
"inductive type and give a definition to map the old name to the new " ^
- "name."));
- let () = assert (List.is_empty mind1.mind_hyps && List.is_empty cb2.const_hyps) in
- if Declareops.constant_has_body cb2 then error DefinitionFieldExpected;
- let u1 = inductive_instance mind1 in
- let arity1,cst1 = constrained_type_of_inductive env
- ((mind1,mind1.mind_packets.(i)),u1) in
- let cst2 =
- Declareops.constraints_of_constant (Environ.opaque_tables env) cb2 in
- let typ2 = Typeops.type_of_constant_type env cb2.const_type in
- let cst = Constraint.union cst (Constraint.union cst1 cst2) in
- let error = NotConvertibleTypeField (env, arity1, typ2) in
- check_conv error cst false Univ.Instance.empty infer_conv_leq env arity1 typ2
- | IndConstr (((kn,i),j) as cstr,mind1) ->
- ignore (CErrors.error (
+ "name.")
+ | IndConstr (((kn,i),j),mind1) ->
+ CErrors.user_err Pp.(str @@
"The kernel does not recognize yet that a parameter can be " ^
"instantiated by a constructor. Hint: you can rename the " ^
"constructor and give a definition to map the old name to the new " ^
- "name."));
- let () = assert (List.is_empty mind1.mind_hyps && List.is_empty cb2.const_hyps) in
- if Declareops.constant_has_body cb2 then error DefinitionFieldExpected;
- let u1 = inductive_instance mind1 in
- let ty1,cst1 = constrained_type_of_constructor (cstr,u1) (mind1,mind1.mind_packets.(i)) in
- let cst2 =
- Declareops.constraints_of_constant (Environ.opaque_tables env) cb2 in
- let ty2 = Typeops.type_of_constant_type env cb2.const_type in
- let cst = Constraint.union cst (Constraint.union cst1 cst2) in
- let error = NotConvertibleTypeField (env, ty1, ty2) in
- check_conv error cst false Univ.Instance.empty infer_conv env ty1 ty2
+ "name.")
let rec check_modules cst env msb1 msb2 subst1 subst2 =
let mty1 = module_type_of_module msb1 in
@@ -450,7 +351,7 @@ and check_modtypes cst env mtb1 mtb2 subst1 subst2 equiv =
mod_type = subst_signature subst1 body_t1;
mod_type_alg = None;
mod_constraints = mtb1.mod_constraints;
- mod_retroknowledge = [];
+ mod_retroknowledge = ModBodyRK [];
mod_delta = mtb1.mod_delta} env
in
check_structure cst env body_t1 body_t2 equiv subst1 subst2