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 = 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)
;;
;;
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 *)
| 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 =
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,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))
+ (Reason ("Unkown mutual inductive definition " ^
+ U.string_of_uri uri)))
in
let rec count_prod t =
match CicReduction.whd ~subst context t with
(let candidate,ugraph5,metasenv,subst =
let exp_name_subst, metasenv =
let o,_ =
- CicEnvironment.get_obj CicUniv.empty_ugraph uri
+ CicEnvironment.get_cooked_obj CicUniv.empty_ugraph uri
in
let uris = CicUtil.params_of_obj o in
List.fold_right (
(Some candidate),ugraph4,metasenv,subst
| (constructor_args_no,_,instance,_)::tl ->
try
- let instance' =
- CicSubstitution.delift constructor_args_no
- (CicMetaSubst.apply_subst subst instance)
+ let instance',subst,metasenv =
+ CicMetaSubst.delift_rels subst metasenv
+ constructor_args_no instance
in
let candidate,ugraph,metasenv,subst =
List.fold_left (
| None -> None,ugraph,metasenv,subst
| Some ty ->
try
- let instance' =
- CicSubstitution.delift
- constructor_args_no
- (CicMetaSubst.apply_subst subst instance)
+ let instance',subst,metasenv =
+ CicMetaSubst.delift_rels subst metasenv
+ constructor_args_no instance
in
let subst,metasenv,ugraph =
fo_unif_subst subst context metasenv
in
candidate_oty,ugraph,metasenv,subst
with
- Failure _
+ CicMetaSubst.DeliftingARelWouldCaptureAFreeVariable
| CicUnification.UnificationFailure _
| CicUnification.Uncertain _ ->
None,ugraph,metasenv,subst
Some
(add_lambdas 0 t arity_instantiated_with_left_args),
ugraph,metasenv,subst
- with Failure s ->
+ with CicMetaSubst.DeliftingARelWouldCaptureAFreeVariable ->
None,ugraph4,metasenv,subst
in
match candidate with
candidate outtype ugraph5
in
C.MutCase (uri, i, outtype, term', pl'),
- (Cic.Appl (outtype::right_args@[term'])),
+ CicReduction.head_beta_reduce
+ (CicMetaSubst.apply_subst subst
+ (Cic.Appl (outtype::right_args@[term']))),
subst,metasenv,ugraph)
| _ -> (* easy case *)
let _,_, subst, metasenv,ugraph5 =
(subst,metasenv,ugraph5) outtypeinstances
in
C.MutCase (uri, i, outtype, term', pl'),
- CicReduction.whd ~subst context
- (C.Appl(outtype::right_args@[term])),
+ 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 =
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 ->
- debug_print (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
try
type_of_aux' metasenv context term ugraph
with
- CicUniv.UniverseInconsistency msg -> raise (RefineFailure msg)
+ 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