open Printf
-exception RefineFailure of string;;
+type failure_msg =
+ Reason of string
+ | UnificationFailure of CicUnification.failure_msg
+
+let explain_error =
+ function
+ Reason msg -> msg
+ | UnificationFailure msg -> CicUnification.explain_error msg
+
+exception RefineFailure of failure_msg;;
exception Uncertain of string;;
exception AssertFailure of string;;
-let debug_print = prerr_endline
+let debug_print = fun _ -> ()
+
+let profiler = HExtlib.profile "CicRefine.fo_unif"
let fo_unif_subst subst context metasenv t1 t2 ugraph =
try
+let foo () =
CicUnification.fo_unif_subst subst context metasenv t1 t2 ugraph
+in profiler.HExtlib.profile foo ()
with
- (CicUnification.UnificationFailure msg) -> raise (RefineFailure msg)
+ (CicUnification.UnificationFailure msg) -> raise (RefineFailure (UnificationFailure msg))
| (CicUnification.Uncertain msg) -> raise (Uncertain msg)
;;
| (_,_) -> raise (AssertFailure "split: list too short")
;;
-let look_for_coercion src tgt =
- if (src = (CicUtil.term_of_uri "cic:/Coq/Init/Datatypes/nat.ind#xpointer(1/1)")) &&
- (tgt = (CicUtil.term_of_uri "cic:/Coq/Reals/Rdefinitions/R.con"))
- then
- begin
- prerr_endline "TROVATA coercion";
- Some (CicUtil.term_of_uri "cic://Coq/Reals/Raxioms/INR.con")
- end
- else
- begin
- prerr_endline (sprintf "NON TROVATA la coercion %s %s" (CicPp.ppterm src)
- (CicPp.ppterm tgt));
- None
- end
-;;
-
-
let rec type_of_constant uri ugraph =
- let module C = Cic in
- let module R = CicReduction in
- let module U = UriManager in
- (*
- let obj =
- try
- CicEnvironment.get_cooked_obj uri
- with Not_found -> assert false
- in
- *)
- let obj,u= CicEnvironment.get_obj ugraph uri in
- match obj with
- C.Constant (_,_,ty,_,_) -> ty,u
- | C.CurrentProof (_,_,_,ty,_,_) -> ty,u
- | _ ->
- raise
- (RefineFailure ("Unknown constant definition " ^ U.string_of_uri uri))
+ let module C = Cic in
+ let module R = CicReduction in
+ let module U = UriManager in
+ let _ = CicTypeChecker.typecheck uri in
+ let obj,u =
+ try
+ CicEnvironment.get_cooked_obj ugraph uri
+ with Not_found -> assert false
+ in
+ match obj with
+ C.Constant (_,_,ty,_,_) -> ty,u
+ | C.CurrentProof (_,_,_,ty,_,_) -> ty,u
+ | _ ->
+ raise
+ (RefineFailure (Reason ("Unknown constant definition " ^ U.string_of_uri uri)))
and type_of_variable uri ugraph =
let module C = Cic in
let module R = CicReduction in
let module U = UriManager in
- (*
- let obj =
- try
- CicEnvironment.get_cooked_obj uri
- with Not_found -> assert false
- in
- *)
- let obj,u = CicEnvironment.get_obj ugraph uri in
- match obj with
- C.Variable (_,_,ty,_,_) -> ty,u
- | _ ->
- raise
- (RefineFailure
- ("Unknown variable definition " ^ UriManager.string_of_uri uri))
+ let _ = CicTypeChecker.typecheck uri in
+ let obj,u =
+ try
+ CicEnvironment.get_cooked_obj ugraph uri
+ with Not_found -> assert false
+ in
+ match obj with
+ C.Variable (_,_,ty,_,_) -> ty,u
+ | _ ->
+ raise
+ (RefineFailure
+ (Reason ("Unknown variable definition " ^ UriManager.string_of_uri uri)))
and type_of_mutual_inductive_defs uri i ugraph =
let module C = Cic in
let module R = CicReduction in
let module U = UriManager in
- (*
- let obj =
- try
- CicEnvironment.get_cooked_obj uri
- with Not_found -> assert false
- in
- *)
- let obj,u = CicEnvironment.get_obj ugraph uri in
- match obj with
- C.InductiveDefinition (dl,_,_,_) ->
- let (_,_,arity,_) = List.nth dl i in
- arity,u
- | _ ->
- raise
- (RefineFailure
- ("Unknown mutual inductive definition " ^ U.string_of_uri uri))
+ let _ = CicTypeChecker.typecheck uri in
+ let obj,u =
+ try
+ CicEnvironment.get_cooked_obj ugraph uri
+ with Not_found -> assert false
+ in
+ match obj with
+ C.InductiveDefinition (dl,_,_,_) ->
+ let (_,_,arity,_) = List.nth dl i in
+ arity,u
+ | _ ->
+ raise
+ (RefineFailure
+ (Reason ("Unknown mutual inductive definition " ^ U.string_of_uri uri)))
and type_of_mutual_inductive_constr uri i j ugraph =
let module C = Cic in
let module R = CicReduction in
let module U = UriManager in
- (*
- let obj =
- try
- CicEnvironment.get_cooked_obj uri
- with Not_found -> assert false
- in
- *)
- let obj,u = CicEnvironment.get_obj ugraph uri in
+ let _ = CicTypeChecker.typecheck uri in
+ let obj,u =
+ try
+ CicEnvironment.get_cooked_obj ugraph uri
+ with Not_found -> assert false
+ in
match obj with
C.InductiveDefinition (dl,_,_,_) ->
let (_,_,_,cl) = List.nth dl i in
| _ ->
raise
(RefineFailure
- ("Unkown mutual inductive definition " ^ U.string_of_uri uri))
+ (Reason ("Unkown mutual inductive definition " ^ U.string_of_uri uri)))
(* type_of_aux' is just another name (with a different scope) for type_of_aux *)
| t -> C.Appl [t ; C.Rel 1]) in
(* we should also check that the name variable is anonymous in
the actual type de' ?? *)
- check_branch (n+1) ((Some (name,(C.Decl so)))::context) metasenv subst left_args_no de' term' de ugraph1
+ check_branch (n+1)
+ ((Some (name,(C.Decl so)))::context)
+ metasenv subst left_args_no de' term' de ugraph1
| _ -> raise (AssertFailure "Wrong number of arguments"))
| _ -> raise (AssertFailure "Prod or MutInd expected")
| Some (_,C.Def (_,Some ty)) ->
t,S.lift n ty,subst,metasenv, ugraph
| Some (_,C.Def (bo,None)) ->
- type_of_aux subst metasenv context (S.lift n bo) ugraph
- | None -> raise (RefineFailure "Rel to hidden hypothesis")
+ let ty,ugraph =
+ (* if it is in the context it must be already well-typed*)
+ CicTypeChecker.type_of_aux' ~subst metasenv context
+ (S.lift n bo) ugraph
+ in
+ t,ty,subst,metasenv,ugraph
+ | None -> raise (RefineFailure (Reason "Rel to hidden hypothesis"))
with
- _ -> raise (RefineFailure "Not a close term")
+ _ -> raise (RefineFailure (Reason "Not a close term"))
)
| C.Var (uri,exp_named_subst) ->
let exp_named_subst',subst',metasenv',ugraph1 =
canonical_context l ugraph
in
(* trust or check ??? *)
- C.Meta (n,l'),CicSubstitution.lift_meta l' ty,
+ C.Meta (n,l'),CicSubstitution.subst_meta l' ty,
subst', metasenv', ugraph1
(* type_of_aux subst metasenv
- context (CicSubstitution.lift_meta l term) *)
+ context (CicSubstitution.subst_meta l term) *)
with CicUtil.Subst_not_found _ ->
let (_,canonical_context,ty) = CicUtil.lookup_meta n metasenv in
let l',subst',metasenv', ugraph1 =
check_metasenv_consistency n subst metasenv context
canonical_context l ugraph
in
- C.Meta (n,l'),CicSubstitution.lift_meta l' ty,
+ C.Meta (n,l'),CicSubstitution.subst_meta l' ty,
subst', metasenv',ugraph1)
| C.Sort (C.Type tno) ->
let tno' = CicUniv.fresh() in
(try
let subst''',metasenv''',ugraph3 =
fo_unif_subst subst'' context metasenv''
- inferredty ty' ugraph2
+ inferredty ty ugraph2
in
C.Cast (te',ty'),ty',subst''',metasenv''',ugraph3
with
- _ -> raise (RefineFailure "Cast"))
+ _ -> raise (RefineFailure (Reason "Cast")))
| C.Prod (name,s,t) ->
let s',sort1,subst',metasenv',ugraph1 =
type_of_aux subst metasenv context s ugraph
C.Meta _
| C.Sort _ -> ()
| _ ->
- raise (RefineFailure (sprintf
+ raise (RefineFailure (Reason (sprintf
"Not well-typed lambda-abstraction: the source %s should be a type;
instead it is a term of type %s" (CicPp.ppterm s)
- (CicPp.ppterm sort1)))
+ (CicPp.ppterm sort1))))
) ;
let t',type2,subst'',metasenv'',ugraph2 =
type_of_aux subst' metasenv'
* Moreover the inferred type is closer to the expected one.
*)
C.LetIn (n,s',t'),CicSubstitution.subst s' inferredty,
- subst',metasenv',ugraph2
+ subst'',metasenv'',ugraph2
| C.Appl (he::((_::_) as tl)) ->
let he',hetype,subst',metasenv',ugraph1 =
type_of_aux subst metasenv context he ugraph
hetype tlbody_and_type ugraph2
in
C.Appl (he'::tl'), applty,subst''',metasenv''',ugraph3
- | C.Appl _ -> raise (RefineFailure "Appl: no arguments")
+ | C.Appl _ -> raise (RefineFailure (Reason "Appl: no arguments"))
| C.Const (uri,exp_named_subst) ->
let exp_named_subst',subst',metasenv',ugraph1 =
check_exp_named_subst subst metasenv context
(* first, get the inductive type (and noparams)
* in the environment *)
let (_,b,arity,constructors), expl_params, no_left_params,ugraph =
- (*
- let obj =
- try
- CicEnvironment.get_cooked_obj ~trust:true uri
- with Not_found -> assert false
- in
- *)
- let obj,u = CicEnvironment.get_obj ugraph uri in
+ let _ = CicTypeChecker.typecheck uri in
+ let obj,u = CicEnvironment.get_cooked_obj ugraph uri in
match obj with
C.InductiveDefinition (l,expl_params,parsno,_) ->
List.nth l i , expl_params, parsno, u
| _ ->
raise
(RefineFailure
- ("Unkown mutual inductive definition " ^
- U.string_of_uri uri))
- in
- let rec count_prod t =
- match CicReduction.whd ~subst context t with
- C.Prod (_, _, t) -> 1 + (count_prod t)
- | _ -> 0
- in
- let no_args = count_prod arity in
- (* now, create a "generic" MutInd *)
- let metasenv,left_args =
- CicMkImplicit.n_fresh_metas metasenv subst context no_left_params
- in
- let metasenv,right_args =
- let no_right_params = no_args - no_left_params in
- if no_right_params < 0 then assert false
- else CicMkImplicit.n_fresh_metas
- metasenv subst context no_right_params
- in
- let metasenv,exp_named_subst =
- CicMkImplicit.fresh_subst metasenv subst context expl_params in
- let expected_type =
- if no_args = 0 then
- C.MutInd (uri,i,exp_named_subst)
- else
- C.Appl
- (C.MutInd (uri,i,exp_named_subst)::(left_args @ right_args))
- in
- (* check consistency with the actual type of term *)
- let term',actual_type,subst,metasenv,ugraph1 =
- type_of_aux subst metasenv context term ugraph in
- let expected_type',_, subst, metasenv,ugraph2 =
- type_of_aux subst metasenv context expected_type ugraph1
- in
- let actual_type = CicReduction.whd ~subst context actual_type in
- let subst,metasenv,ugraph3 =
- fo_unif_subst subst context metasenv
- expected_type' actual_type ugraph2
- in
- (* TODO: check if the sort elimination
- * is allowed: [(I q1 ... qr)|B] *)
- let (pl',_,outtypeinstances,subst,metasenv,ugraph4) =
- List.fold_left
- (fun (pl,j,outtypeinstances,subst,metasenv,ugraph) p ->
- let constructor =
- if left_args = [] then
- (C.MutConstruct (uri,i,j,exp_named_subst))
- else
- (C.Appl (C.MutConstruct (uri,i,j,exp_named_subst)::left_args))
- in
- let p',actual_type,subst,metasenv,ugraph1 =
- type_of_aux subst metasenv context p ugraph
- in
- let constructor',expected_type, subst, metasenv,ugraph2 =
- type_of_aux subst metasenv context constructor ugraph1
- in
- let outtypeinstance,subst,metasenv,ugraph3 =
- check_branch 0 context metasenv subst no_left_params
- actual_type constructor expected_type ugraph2
- in
- (pl @ [p'],j+1,
- outtypeinstance::outtypeinstances,subst,metasenv,ugraph3))
- ([],1,[],subst,metasenv,ugraph3) pl
- in
- (* we are left to check that the outype matches his instances.
- The easy case is when the outype is specified, that amount
- to a trivial check. Otherwise, we should guess a type from
- its instances *)
-
- (* easy case *)
- let _,_, subst, metasenv,ugraph5 =
- type_of_aux subst metasenv context
- (C.Appl ((outtype :: right_args) @ [term'])) ugraph4
- in
- let (subst,metasenv,ugraph6) =
- List.fold_left
- (fun (subst,metasenv,ugraph) (constructor_args_no,context,instance,args) ->
- let instance' =
- let appl =
- let outtype' =
- CicSubstitution.lift constructor_args_no outtype
- in
- C.Appl (outtype'::args)
+ (Reason ("Unkown mutual inductive definition " ^
+ U.string_of_uri uri)))
+ in
+ let rec count_prod t =
+ match CicReduction.whd ~subst context t with
+ C.Prod (_, _, t) -> 1 + (count_prod t)
+ | _ -> 0
+ in
+ let no_args = count_prod arity in
+ (* now, create a "generic" MutInd *)
+ let metasenv,left_args =
+ CicMkImplicit.n_fresh_metas metasenv subst context no_left_params
+ in
+ let metasenv,right_args =
+ let no_right_params = no_args - no_left_params in
+ if no_right_params < 0 then assert false
+ else CicMkImplicit.n_fresh_metas
+ metasenv subst context no_right_params
+ in
+ let metasenv,exp_named_subst =
+ CicMkImplicit.fresh_subst metasenv subst context expl_params in
+ let expected_type =
+ if no_args = 0 then
+ C.MutInd (uri,i,exp_named_subst)
+ else
+ C.Appl
+ (C.MutInd (uri,i,exp_named_subst)::(left_args @ right_args))
+ in
+ (* check consistency with the actual type of term *)
+ let term',actual_type,subst,metasenv,ugraph1 =
+ type_of_aux subst metasenv context term ugraph in
+ let expected_type',_, subst, metasenv,ugraph2 =
+ type_of_aux subst metasenv context expected_type ugraph1
+ in
+ let actual_type = CicReduction.whd ~subst context actual_type in
+ let subst,metasenv,ugraph3 =
+ fo_unif_subst subst context metasenv
+ expected_type' actual_type ugraph2
+ in
+ let rec instantiate_prod t =
+ function
+ [] -> t
+ | he::tl ->
+ match CicReduction.whd ~subst context t with
+ C.Prod (_,_,t') ->
+ instantiate_prod (CicSubstitution.subst he t') tl
+ | _ -> assert false
+ in
+ let arity_instantiated_with_left_args =
+ instantiate_prod arity left_args in
+ (* TODO: check if the sort elimination
+ * is allowed: [(I q1 ... qr)|B] *)
+ let (pl',_,outtypeinstances,subst,metasenv,ugraph4) =
+ List.fold_left
+ (fun (pl,j,outtypeinstances,subst,metasenv,ugraph) p ->
+ let constructor =
+ if left_args = [] then
+ (C.MutConstruct (uri,i,j,exp_named_subst))
+ else
+ (C.Appl
+ (C.MutConstruct (uri,i,j,exp_named_subst)::left_args))
+ in
+ let p',actual_type,subst,metasenv,ugraph1 =
+ type_of_aux subst metasenv context p ugraph
+ in
+ let constructor',expected_type, subst, metasenv,ugraph2 =
+ type_of_aux subst metasenv context constructor ugraph1
+ in
+ let outtypeinstance,subst,metasenv,ugraph3 =
+ check_branch 0 context metasenv subst no_left_params
+ actual_type constructor' expected_type ugraph2
+ in
+ (pl @ [p'],j+1,
+ outtypeinstance::outtypeinstances,subst,metasenv,ugraph3))
+ ([],1,[],subst,metasenv,ugraph3) pl
+ in
+
+ (* we are left to check that the outype matches his instances.
+ The easy case is when the outype is specified, that amount
+ to a trivial check. Otherwise, we should guess a type from
+ its instances
+ *)
+
+ (match outtype with
+ | C.Meta (n,l) ->
+ (let candidate,ugraph5,metasenv,subst =
+ let exp_name_subst, metasenv =
+ let o,_ =
+ CicEnvironment.get_cooked_obj CicUniv.empty_ugraph uri
+ in
+ let uris = CicUtil.params_of_obj o in
+ List.fold_right (
+ fun uri (acc,metasenv) ->
+ let metasenv',new_meta =
+ CicMkImplicit.mk_implicit metasenv subst context
+ in
+ let irl =
+ CicMkImplicit.identity_relocation_list_for_metavariable
+ context
+ in
+ (uri, Cic.Meta(new_meta,irl))::acc, metasenv'
+ ) uris ([],metasenv)
+ in
+ let ty =
+ match left_args,right_args with
+ [],[] -> Cic.MutInd(uri, i, exp_name_subst)
+ | _,_ ->
+ let rec mk_right_args =
+ function
+ 0 -> []
+ | n -> (Cic.Rel n)::(mk_right_args (n - 1))
+ in
+ let right_args_no = List.length right_args in
+ let lifted_left_args =
+ List.map (CicSubstitution.lift right_args_no) left_args
+ in
+ Cic.Appl (Cic.MutInd(uri,i,exp_name_subst)::
+ (lifted_left_args @ mk_right_args right_args_no))
+ in
+ let fresh_name =
+ FreshNamesGenerator.mk_fresh_name ~subst metasenv
+ context Cic.Anonymous ~typ:ty
+ in
+ match outtypeinstances with
+ | [] ->
+ let extended_context =
+ let rec add_right_args =
+ function
+ Cic.Prod (name,ty,t) ->
+ Some (name,Cic.Decl ty)::(add_right_args t)
+ | _ -> []
+ in
+ (Some (fresh_name,Cic.Decl ty))::
+ (List.rev
+ (add_right_args arity_instantiated_with_left_args))@
+ context
in
- (*
- (* if appl is not well typed then the type_of below solves the
- * problem *)
- let (_, subst, metasenv,ugraph1) =
- type_of_aux subst metasenv context appl ugraph
- in
- *)
- (* DEBUG
- let prova1 = CicMetaSubst.whd subst context appl in
- let prova2 = CicReduction.whd ~subst context appl in
- if not (prova1 = prova2) then
- begin
- prerr_endline ("prova1 =" ^ (CicPp.ppterm prova1));
- prerr_endline ("prova2 =" ^ (CicPp.ppterm prova2));
- end;
- *)
- (* CicMetaSubst.whd subst context appl *)
- CicReduction.whd ~subst context appl
- in
- fo_unif_subst subst context metasenv
- instance instance' ugraph)
- (subst,metasenv,ugraph5) outtypeinstances
- in
- C.MutCase (uri, i, outtype, term', pl'),
- CicReduction.whd ~subst context
- (C.Appl(outtype::right_args@[term])),
- subst,metasenv,ugraph6
+ let metasenv,new_meta =
+ CicMkImplicit.mk_implicit metasenv subst extended_context
+ in
+ let irl =
+ CicMkImplicit.identity_relocation_list_for_metavariable
+ extended_context
+ in
+ let rec add_lambdas b =
+ function
+ Cic.Prod (name,ty,t) ->
+ Cic.Lambda (name,ty,(add_lambdas b t))
+ | _ -> Cic.Lambda (fresh_name, ty, b)
+ in
+ let candidate =
+ add_lambdas (Cic.Meta (new_meta,irl))
+ arity_instantiated_with_left_args
+ in
+ (Some candidate),ugraph4,metasenv,subst
+ | (constructor_args_no,_,instance,_)::tl ->
+ try
+ let instance',subst,metasenv =
+ CicMetaSubst.delift_rels subst metasenv
+ constructor_args_no instance
+ in
+ let candidate,ugraph,metasenv,subst =
+ List.fold_left (
+ fun (candidate_oty,ugraph,metasenv,subst)
+ (constructor_args_no,_,instance,_) ->
+ match candidate_oty with
+ | None -> None,ugraph,metasenv,subst
+ | Some ty ->
+ try
+ let instance',subst,metasenv =
+ CicMetaSubst.delift_rels subst metasenv
+ constructor_args_no instance
+ in
+ let subst,metasenv,ugraph =
+ fo_unif_subst subst context metasenv
+ instance' ty ugraph
+ in
+ candidate_oty,ugraph,metasenv,subst
+ with
+ CicMetaSubst.DeliftingARelWouldCaptureAFreeVariable
+ | CicUnification.UnificationFailure _
+ | CicUnification.Uncertain _ ->
+ None,ugraph,metasenv,subst
+ ) (Some instance',ugraph4,metasenv,subst) tl
+ in
+ match candidate with
+ | None -> None, ugraph,metasenv,subst
+ | Some t ->
+ let rec add_lambdas n b =
+ function
+ Cic.Prod (name,ty,t) ->
+ Cic.Lambda (name,ty,(add_lambdas (n + 1) b t))
+ | _ ->
+ Cic.Lambda (fresh_name, ty,
+ CicSubstitution.lift (n + 1) t)
+ in
+ Some
+ (add_lambdas 0 t arity_instantiated_with_left_args),
+ ugraph,metasenv,subst
+ with CicMetaSubst.DeliftingARelWouldCaptureAFreeVariable ->
+ None,ugraph4,metasenv,subst
+ in
+ match candidate with
+ | None -> raise (Uncertain "can't solve an higher order unification problem")
+ | Some candidate ->
+ let subst,metasenv,ugraph =
+ fo_unif_subst subst context metasenv
+ candidate outtype ugraph5
+ in
+ C.MutCase (uri, i, outtype, term', pl'),
+ CicReduction.head_beta_reduce
+ (CicMetaSubst.apply_subst subst
+ (Cic.Appl (outtype::right_args@[term']))),
+ subst,metasenv,ugraph)
+ | _ -> (* easy case *)
+ let _,_, subst, metasenv,ugraph5 =
+ type_of_aux subst metasenv context
+ (C.Appl ((outtype :: right_args) @ [term'])) ugraph4
+ in
+ let (subst,metasenv,ugraph6) =
+ List.fold_left
+ (fun (subst,metasenv,ugraph)
+ (constructor_args_no,context,instance,args) ->
+ let instance' =
+ let appl =
+ let outtype' =
+ CicSubstitution.lift constructor_args_no outtype
+ in
+ C.Appl (outtype'::args)
+ in
+ CicReduction.whd ~subst context appl
+ in
+ fo_unif_subst subst context metasenv
+ instance instance' ugraph)
+ (subst,metasenv,ugraph5) outtypeinstances
+ in
+ C.MutCase (uri, i, outtype, term', pl'),
+ CicReduction.head_beta_reduce
+ (CicMetaSubst.apply_subst subst
+ (C.Appl(outtype::right_args@[term]))),
+ subst,metasenv,ugraph6)
| C.Fix (i,fl) ->
let fl_ty',subst,metasenv,types,ugraph1 =
List.fold_left
function
[] -> []
| (Some (n,C.Decl t))::tl ->
- (Some (n,C.Decl (S.lift_meta l (S.lift i t))))::(aux (i+1) tl)
+ (Some (n,C.Decl (S.subst_meta l (S.lift i t))))::(aux (i+1) tl)
| (Some (n,C.Def (t,None)))::tl ->
- (Some (n,C.Def ((S.lift_meta l (S.lift i t)),None)))::(aux (i+1) tl)
+ (Some (n,C.Def ((S.subst_meta l (S.lift i t)),None)))::(aux (i+1) tl)
| None::tl -> None::(aux (i+1) tl)
| (Some (n,C.Def (t,Some ty)))::tl ->
(Some (n,
- C.Def ((S.lift_meta l (S.lift i t)),
- Some (S.lift_meta l (S.lift i ty))))) :: (aux (i+1) tl)
+ C.Def ((S.subst_meta l (S.lift i t)),
+ Some (S.subst_meta l (S.lift i ty))))) :: (aux (i+1) tl)
in
aux 1 canonical_context
in
let subst',metasenv',ugraph' =
(try
fo_unif_subst subst context metasenv t ct ugraph
- with e -> raise (RefineFailure (sprintf "The local context is not consistent with the canonical context, since %s cannot be unified with %s. Reason: %s" (CicMetaSubst.ppterm subst t) (CicMetaSubst.ppterm subst ct) (match e with AssertFailure msg -> msg | _ -> (Printexc.to_string e)))))
+ with e -> raise (RefineFailure (Reason (sprintf "The local context is not consistent with the canonical context, since %s cannot be unified with %s. Reason: %s" (CicMetaSubst.ppterm subst t) (CicMetaSubst.ppterm subst ct) (match e with AssertFailure msg -> msg | _ -> (Printexc.to_string e))))))
in
l @ [Some t],subst',metasenv',ugraph'
| Some t,Some (_,C.Decl ct) ->
(try
fo_unif_subst
subst' context metasenv' inferredty ct ugraph1
- with e -> raise (RefineFailure (sprintf "The local context is not consistent with the canonical context, since the type %s of %s cannot be unified with the expected type %s. Reason: %s" (CicMetaSubst.ppterm subst' inferredty) (CicMetaSubst.ppterm subst' t) (CicMetaSubst.ppterm subst' ct) (match e with AssertFailure msg -> msg | _ -> (Printexc.to_string e)))))
+ with e -> raise (RefineFailure (Reason (sprintf "The local context is not consistent with the canonical context, since the type %s of %s cannot be unified with the expected type %s. Reason: %s" (CicMetaSubst.ppterm subst' inferredty) (CicMetaSubst.ppterm subst' t) (CicMetaSubst.ppterm subst' ct) (match e with AssertFailure msg -> msg | _ -> (Printexc.to_string e))))))
in
l @ [Some t'], subst'',metasenv'',ugraph2
| None, Some _ ->
- raise (RefineFailure (sprintf
+ raise (RefineFailure (Reason (sprintf
"Not well typed metavariable instance %s: the local context does not instantiate an hypothesis even if the hypothesis is not restricted in the canonical context %s"
(CicMetaSubst.ppterm subst (Cic.Meta (metano, l)))
- (CicMetaSubst.ppcontext subst canonical_context)))
+ (CicMetaSubst.ppcontext subst canonical_context))))
) ([],subst,metasenv,ugraph) l lifted_canonical_context
with
Invalid_argument _ ->
raise
(RefineFailure
- (sprintf
+ (Reason (sprintf
"Not well typed metavariable instance %s: the length of the local context does not match the length of the canonical context %s"
(CicMetaSubst.ppterm subst (Cic.Meta (metano, l)))
- (CicMetaSubst.ppcontext subst canonical_context)))
+ (CicMetaSubst.ppcontext subst canonical_context))))
and check_exp_named_subst metasubst metasenv context tl ugraph =
let rec check_exp_named_subst_aux metasubst metasenv substs tl ugraph =
(match CicEnvironment.get_cooked_obj ~trust:false uri with
Cic.Variable (_,Some bo,_,_) ->
raise
- (RefineFailure
- "A variable with a body can not be explicit substituted")
+ (RefineFailure (Reason
+ "A variable with a body can not be explicit substituted"))
| Cic.Variable (_,None,_,_) -> ()
| _ ->
raise
- (RefineFailure
- ("Unkown variable definition " ^ UriManager.string_of_uri uri))
+ (RefineFailure (Reason
+ ("Unkown variable definition " ^ UriManager.string_of_uri uri)))
) ;
*)
let t',typeoft,metasubst',metasenv',ugraph2 =
fo_unif_subst
metasubst' context metasenv' typeoft typeofvar ugraph2
with _ ->
- raise (RefineFailure
+ raise (RefineFailure (Reason
("Wrong Explicit Named Substitution: " ^
CicMetaSubst.ppterm metasubst' typeoft ^
" not unifiable with " ^
- CicMetaSubst.ppterm metasubst' typeofvar))
+ CicMetaSubst.ppterm metasubst' typeofvar)))
in
(* FIXME: no mere tail recursive! *)
let exp_name_subst, metasubst''', metasenv''', ugraph4 =
in
t2'',subst,metasenv,ugraph1
| (_,_) ->
- raise (RefineFailure (sprintf
+ raise (RefineFailure (Reason (sprintf
"Two sorts were expected, found %s (that reduces to %s) and %s (that reduces to %s)"
(CicPp.ppterm t1) (CicPp.ppterm t1'') (CicPp.ppterm t2)
- (CicPp.ppterm t2'')))
+ (CicPp.ppterm t2''))))
and eat_prods subst metasenv context hetype tlbody_and_type ugraph =
let rec mk_prod metasenv context =
try
fo_unif_subst subst context metasenv hetype hetype' ugraph
with exn ->
- prerr_endline (Printf.sprintf "hetype=%s\nhetype'=%s\nmetasenv=%s\nsubst=%s"
+ debug_print (lazy (Printf.sprintf "hetype=%s\nhetype'=%s\nmetasenv=%s\nsubst=%s"
(CicPp.ppterm hetype)
(CicPp.ppterm hetype')
- (CicMetaSubst.ppmetasenv metasenv [])
- (CicMetaSubst.ppsubst subst));
+ (CicMetaSubst.ppmetasenv [] metasenv)
+ (CicMetaSubst.ppsubst subst)));
raise exn
in
hete,subst,metasenv,ugraph1
with exn ->
(* we search a coercion from hety to s *)
- let coer = look_for_coercion
+ let coer = CoercGraph.look_for_coercion
(CicMetaSubst.apply_subst subst hety)
(CicMetaSubst.apply_subst subst s)
in
(cleaned_t,cleaned_ty,cleaned_metasenv,ugraph1)
;;
+let type_of_aux' metasenv context term ugraph =
+ try
+ type_of_aux' metasenv context term ugraph
+ with
+ CicUniv.UniverseInconsistency msg -> raise (RefineFailure (Reason msg))
+
+(*CSC: this is a very very rough approximation; to be finished *)
+let are_all_occurrences_positive uri =
+ let rec aux =
+ (*CSC: here we should do a whd; but can we do that? *)
+ function
+ Cic.Appl (Cic.MutInd (uri',_,_)::_) when uri = uri' -> ()
+ | Cic.MutInd (uri',_,_) when uri = uri' -> ()
+ | Cic.Prod (_,_,t) -> aux t
+ | _ -> raise (RefineFailure (Reason "not well formed constructor type"))
+ in
+ aux
+
+let typecheck metasenv uri obj =
+ let ugraph = CicUniv.empty_ugraph in
+ match obj with
+ Cic.Constant (name,Some bo,ty,args,attrs) ->
+ let bo',boty,metasenv,ugraph = type_of_aux' metasenv [] bo ugraph in
+ let ty',_,metasenv,ugraph = type_of_aux' metasenv [] ty ugraph in
+ let subst,metasenv,ugraph = fo_unif_subst [] [] metasenv boty ty' ugraph in
+ let bo' = CicMetaSubst.apply_subst subst bo' in
+ let ty' = CicMetaSubst.apply_subst subst ty' in
+ let metasenv = CicMetaSubst.apply_subst_metasenv subst metasenv in
+ Cic.Constant (name,Some bo',ty',args,attrs),metasenv,ugraph
+ | Cic.Constant (name,None,ty,args,attrs) ->
+ let ty',_,metasenv,ugraph = type_of_aux' metasenv [] ty ugraph in
+ Cic.Constant (name,None,ty',args,attrs),metasenv,ugraph
+ | Cic.CurrentProof (name,metasenv',bo,ty,args,attrs) ->
+ assert (metasenv' = metasenv);
+ (* Here we do not check the metasenv for correctness *)
+ let bo',boty,metasenv,ugraph = type_of_aux' metasenv [] bo ugraph in
+ let ty',sort,metasenv,ugraph = type_of_aux' metasenv [] ty ugraph in
+ begin
+ match sort with
+ Cic.Sort _
+ (* instead of raising Uncertain, let's hope that the meta will become
+ a sort *)
+ | Cic.Meta _ -> ()
+ | _ -> raise (RefineFailure (Reason "The term provided is not a type"))
+ end;
+ let subst,metasenv,ugraph = fo_unif_subst [] [] metasenv boty ty' ugraph in
+ let bo' = CicMetaSubst.apply_subst subst bo' in
+ let ty' = CicMetaSubst.apply_subst subst ty' in
+ let metasenv = CicMetaSubst.apply_subst_metasenv subst metasenv in
+ Cic.CurrentProof (name,metasenv,bo',ty',args,attrs),metasenv,ugraph
+ | Cic.Variable _ -> assert false (* not implemented *)
+ | Cic.InductiveDefinition (tys,args,paramsno,attrs) ->
+ (*CSC: this code is greately simplified and many many checks are missing *)
+ (*CSC: e.g. the constructors are not required to build their own types, *)
+ (*CSC: the arities are not required to have as type a sort, etc. *)
+ let uri = match uri with Some uri -> uri | None -> assert false in
+ let typesno = List.length tys in
+ (* first phase: we fix only the types *)
+ let metasenv,ugraph,tys =
+ List.fold_right
+ (fun (name,b,ty,cl) (metasenv,ugraph,res) ->
+ let ty',_,metasenv,ugraph = type_of_aux' metasenv [] ty ugraph in
+ metasenv,ugraph,(name,b,ty',cl)::res
+ ) tys (metasenv,ugraph,[]) in
+ let con_context =
+ List.rev_map (fun (name,_,ty,_)-> Some (Cic.Name name,Cic.Decl ty)) tys in
+ (* second phase: we fix only the constructors *)
+ let metasenv,ugraph,tys =
+ List.fold_right
+ (fun (name,b,ty,cl) (metasenv,ugraph,res) ->
+ let metasenv,ugraph,cl' =
+ List.fold_right
+ (fun (name,ty) (metasenv,ugraph,res) ->
+ let ty = CicTypeChecker.debrujin_constructor uri typesno ty in
+ let ty',_,metasenv,ugraph =
+ type_of_aux' metasenv con_context ty ugraph in
+ let undebrujin t =
+ snd
+ (List.fold_right
+ (fun (name,_,_,_) (i,t) ->
+ (* here the explicit_named_substituion is assumed to be *)
+ (* of length 0 *)
+ let t' = Cic.MutInd (uri,i,[]) in
+ let t = CicSubstitution.subst t' t in
+ i - 1,t
+ ) tys (typesno - 1,t)) in
+ let ty' = undebrujin ty' in
+ metasenv,ugraph,(name,ty')::res
+ ) cl (metasenv,ugraph,[])
+ in
+ metasenv,ugraph,(name,b,ty,cl')::res
+ ) tys (metasenv,ugraph,[]) in
+ (* third phase: we check the positivity condition *)
+ List.iter
+ (fun (_,_,_,cl) ->
+ List.iter (fun (_,ty) -> are_all_occurrences_positive uri ty) cl
+ ) tys ;
+ Cic.InductiveDefinition (tys,args,paramsno,attrs),metasenv,ugraph
+
(* DEBUGGING ONLY
let type_of_aux' metasenv context term =
try
let (t,ty,m) =
type_of_aux' metasenv context term in
- debug_print
- ("@@@ REFINE SUCCESSFUL: " ^ CicPp.ppterm t ^ " : " ^ CicPp.ppterm ty);
- debug_print
- ("@@@ REFINE SUCCESSFUL (metasenv):\n" ^ CicMetaSubst.ppmetasenv ~sep:";" m []);
+ debug_print (lazy
+ ("@@@ REFINE SUCCESSFUL: " ^ CicPp.ppterm t ^ " : " ^ CicPp.ppterm ty));
+ debug_print (lazy
+ ("@@@ REFINE SUCCESSFUL (metasenv):\n" ^ CicMetaSubst.ppmetasenv ~sep:";" m []));
(t,ty,m)
with
| RefineFailure msg as e ->
- debug_print ("@@@ REFINE FAILED: " ^ msg);
+ debug_print (lazy ("@@@ REFINE FAILED: " ^ msg));
raise e
| Uncertain msg as e ->
- debug_print ("@@@ REFINE UNCERTAIN: " ^ msg);
+ debug_print (lazy ("@@@ REFINE UNCERTAIN: " ^ msg));
raise e
;; *)
+
+let profiler2 = HExtlib.profile "CicRefine"
+
+let type_of_aux' metasenv context term ugraph =
+ profiler2.HExtlib.profile (type_of_aux' metasenv context term) ugraph
+
+let typecheck metasenv uri obj =
+ profiler2.HExtlib.profile (typecheck metasenv uri) obj
projects / helm.git / blobdiff