X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=helm%2Fsoftware%2Fcomponents%2Fng_kernel%2FnCicTypeChecker.ml;h=0299df7a76edd12ff5bfda7ba9ab1aff28207e2e;hb=7bf119d0c9d56ca0cb75c448beebf57bba7c8c6e;hp=9b528b7651c6c225849ed6fa1b03872a9038a4b3;hpb=721bc83119c732c4c5f6729bf3af0eda2a7d18d7;p=helm.git diff --git a/helm/software/components/ng_kernel/nCicTypeChecker.ml b/helm/software/components/ng_kernel/nCicTypeChecker.ml index 9b528b765..0299df7a7 100644 --- a/helm/software/components/ng_kernel/nCicTypeChecker.ml +++ b/helm/software/components/ng_kernel/nCicTypeChecker.ml @@ -89,118 +89,6 @@ let debrujin_constructor ?(cb=fun _ _ -> ()) uri number_of_types = exception CicEnvironmentError;; -let rec type_of_constant ~logger uri ugraph = - let module C = Cic in - let module R = CicReduction in - let module U = UriManager in - let cobj,ugraph = - match CicEnvironment.is_type_checked ~trust:true ugraph uri with - CicEnvironment.CheckedObj (cobj,ugraph') -> cobj,ugraph' - | CicEnvironment.UncheckedObj uobj -> - logger#log (`Start_type_checking uri) ; - (* let's typecheck the uncooked obj *) - -(**************************************************************** - TASSI: FIXME qui e' inutile ricordarselo, - tanto poi lo richiediamo alla cache che da quello su disco -*****************************************************************) - - let ugraph_dust = - (match uobj with - C.Constant (_,Some te,ty,_,_) -> - let _,ugraph = type_of ~logger ty ugraph in - let type_of_te,ugraph' = type_of ~logger te ugraph in - let b',ugraph'' = (R.are_convertible [] type_of_te ty ugraph') in - if not b' then - raise (TypeCheckerFailure (lazy (sprintf - "the constant %s is not well typed because the type %s of the body is not convertible to the declared type %s" - (U.string_of_uri uri) (CicPp.ppterm type_of_te) - (CicPp.ppterm ty)))) - else - ugraph' - | C.Constant (_,None,ty,_,_) -> - (* only to check that ty is well-typed *) - let _,ugraph' = type_of ~logger ty ugraph in - ugraph' - | C.CurrentProof (_,conjs,te,ty,_,_) -> - let _,ugraph1 = - List.fold_left - (fun (metasenv,ugraph) ((_,context,ty) as conj) -> - let _,ugraph' = - type_of_aux' ~logger metasenv context ty ugraph - in - (metasenv @ [conj],ugraph') - ) ([],ugraph) conjs - in - let _,ugraph2 = type_of_aux' ~logger conjs [] ty ugraph1 in - let type_of_te,ugraph3 = - type_of_aux' ~logger conjs [] te ugraph2 - in - let b,ugraph4 = (R.are_convertible [] type_of_te ty ugraph3) in - if not b then - raise (TypeCheckerFailure (lazy (sprintf - "the current proof %s is not well typed because the type %s of the body is not convertible to the declared type %s" - (U.string_of_uri uri) (CicPp.ppterm type_of_te) - (CicPp.ppterm ty)))) - else - ugraph4 - | _ -> - raise - (TypeCheckerFailure (lazy ("Unknown constant:" ^ U.string_of_uri uri)))) - in - try - CicEnvironment.set_type_checking_info uri; - logger#log (`Type_checking_completed uri) ; - match CicEnvironment.is_type_checked ~trust:false ugraph uri with - CicEnvironment.CheckedObj (cobj,ugraph') -> cobj,ugraph' - | CicEnvironment.UncheckedObj _ -> raise CicEnvironmentError - with Invalid_argument s -> - (*debug_print (lazy s);*) - uobj,ugraph_dust - in - match cobj,ugraph with - (C.Constant (_,_,ty,_,_)),g -> ty,g - | (C.CurrentProof (_,_,_,ty,_,_)),g -> ty,g - | _ -> - raise (TypeCheckerFailure (lazy ("Unknown constant:" ^ U.string_of_uri uri))) - -and type_of_variable ~logger uri ugraph = - let module C = Cic in - let module R = CicReduction in - let module U = UriManager in - (* 0 because a variable is never cooked => no partial cooking at one level *) - match CicEnvironment.is_type_checked ~trust:true ugraph uri with - CicEnvironment.CheckedObj ((C.Variable (_,_,ty,_,_)),ugraph') -> ty,ugraph' - | CicEnvironment.UncheckedObj (C.Variable (_,bo,ty,_,_)) -> - logger#log (`Start_type_checking uri) ; - (* only to check that ty is well-typed *) - let _,ugraph1 = type_of ~logger ty ugraph in - let ugraph2 = - (match bo with - None -> ugraph - | Some bo -> - let ty_bo,ugraph' = type_of ~logger bo ugraph1 in - let b,ugraph'' = (R.are_convertible [] ty_bo ty ugraph') in - if not b then - raise (TypeCheckerFailure - (lazy ("Unknown variable:" ^ U.string_of_uri uri))) - else - ugraph'') - in - (try - CicEnvironment.set_type_checking_info uri ; - logger#log (`Type_checking_completed uri) ; - match CicEnvironment.is_type_checked ~trust:false ugraph uri with - CicEnvironment.CheckedObj ((C.Variable (_,_,ty,_,_)),ugraph') -> - ty,ugraph' - | CicEnvironment.CheckedObj _ - | CicEnvironment.UncheckedObj _ -> raise CicEnvironmentError - with Invalid_argument s -> - (*debug_print (lazy s);*) - ty,ugraph2) - | _ -> - raise (TypeCheckerFailure (lazy ("Unknown variable:" ^ U.string_of_uri uri))) - and does_not_occur ?(subst=[]) context n nn te = let module C = Cic in match te with @@ -261,7 +149,7 @@ and does_not_occur ?(subst=[]) context n nn te = (fun (types,len) (n,_,ty,_) -> (Some (C.Name n,(C.Decl (CicSubstitution.lift len ty)))::types, len+1) - ) ([],0) fl + ) ([],0) fl in List.fold_right (fun (_,_,ty,bo) i -> @@ -277,7 +165,7 @@ and does_not_occur ?(subst=[]) context n nn te = (fun (types,len) (n,ty,_) -> (Some (C.Name n,(C.Decl (CicSubstitution.lift len ty)))::types, len+1) - ) ([],0) fl + ) ([],0) fl in List.fold_right (fun (_,ty,bo) i -> @@ -368,8 +256,8 @@ and weakly_positive context n nn uri te = (n + 1) (nn + 1) uri dest | C.Prod (name,source,dest) -> does_not_occur context n nn - (subst_inductive_type_with_dummy_mutind source)&& - weakly_positive ((Some (name,(C.Decl source)))::context) + (subst_inductive_type_with_dummy_mutind source)&& + weakly_positive ((Some (name,(C.Decl source)))::context) (n + 1) (nn + 1) uri dest | _ -> raise (TypeCheckerFailure (lazy "Malformed inductive constructor type")) @@ -402,16 +290,16 @@ and strictly_positive context n nn te = List.fold_right (fun x i -> i && does_not_occur context n nn x) tl true | C.Appl ((C.MutInd (uri,i,exp_named_subst))::tl) -> let (ok,paramsno,ity,cl,name) = - let o,_ = CicEnvironment.get_obj CicUniv.empty_ugraph uri in - match o with + let o,_ = CicEnvironment.get_obj CicUniv.empty_ugraph uri in + match o with C.InductiveDefinition (tl,_,paramsno,_) -> - let (name,_,ity,cl) = List.nth tl i in + let (name,_,ity,cl) = List.nth tl i in (List.length tl = 1, paramsno, ity, cl, name) (* (true, paramsno, ity, cl, name) *) | _ -> - raise - (TypeCheckerFailure - (lazy ("Unknown inductive type:" ^ U.string_of_uri uri))) + raise + (TypeCheckerFailure + (lazy ("Unknown inductive type:" ^ U.string_of_uri uri))) in let (params,arguments) = split tl paramsno in let lifted_params = List.map (CicSubstitution.lift 1) params in @@ -516,32 +404,32 @@ and typecheck_mutual_inductive_defs ~logger uri (itl,_,indparamsno) ugraph = let _,ugraph2 = List.fold_right (fun (_,_,_,cl) (i,ugraph) -> - let ugraph'' = + let ugraph'' = List.fold_left (fun ugraph (name,te) -> let debrujinedte = debrujin_constructor uri len te in let augmented_term = - List.fold_right - (fun (name,_,ty,_) i -> Cic.Prod (Cic.Name name, ty, i)) - itl debrujinedte + List.fold_right + (fun (name,_,ty,_) i -> Cic.Prod (Cic.Name name, ty, i)) + itl debrujinedte in let _,ugraph' = type_of ~logger augmented_term ugraph in (* let's check also the positivity conditions *) if - not - (are_all_occurrences_positive tys uri indparamsno i 0 len + not + (are_all_occurrences_positive tys uri indparamsno i 0 len debrujinedte) then begin prerr_endline (UriManager.string_of_uri uri); prerr_endline (string_of_int (List.length tys)); - raise - (TypeCheckerFailure + raise + (TypeCheckerFailure (lazy ("Non positive occurence in " ^ U.string_of_uri uri))) end else - ugraph' + ugraph' ) ugraph cl in - (i + 1),ugraph'' + (i + 1),ugraph'' ) itl (1,ugrap1) in ugraph2 @@ -551,80 +439,11 @@ and typecheck_mutual_inductive_defs ~logger uri (itl,_,indparamsno) ugraph = and check_mutual_inductive_defs uri obj ugraph = match obj with Cic.InductiveDefinition (itl, params, indparamsno, _) -> - typecheck_mutual_inductive_defs uri (itl,params,indparamsno) ugraph + typecheck_mutual_inductive_defs uri (itl,params,indparamsno) ugraph | _ -> - raise (TypeCheckerFailure ( - lazy ("Unknown mutual inductive definition:" ^ - UriManager.string_of_uri uri))) - -and type_of_mutual_inductive_defs ~logger uri i ugraph = - let module C = Cic in - let module R = CicReduction in - let module U = UriManager in - let cobj,ugraph1 = - match CicEnvironment.is_type_checked ~trust:true ugraph uri with - CicEnvironment.CheckedObj (cobj,ugraph') -> cobj,ugraph' - | CicEnvironment.UncheckedObj uobj -> - logger#log (`Start_type_checking uri) ; - let ugraph1_dust = - check_mutual_inductive_defs ~logger uri uobj ugraph - in - (* TASSI: FIXME: check ugraph1 == ugraph ritornato da env *) - try - CicEnvironment.set_type_checking_info uri ; - logger#log (`Type_checking_completed uri) ; - (match CicEnvironment.is_type_checked ~trust:false ugraph uri with - CicEnvironment.CheckedObj (cobj,ugraph') -> (cobj,ugraph') - | CicEnvironment.UncheckedObj _ -> raise CicEnvironmentError - ) - with - Invalid_argument s -> - (*debug_print (lazy s);*) - uobj,ugraph1_dust - in - match cobj with - C.InductiveDefinition (dl,_,_,_) -> - let (_,_,arity,_) = List.nth dl i in - arity,ugraph1 - | _ -> - raise (TypeCheckerFailure - (lazy ("Unknown mutual inductive definition:" ^ U.string_of_uri uri))) - -and type_of_mutual_inductive_constr ~logger uri i j ugraph = - let module C = Cic in - let module R = CicReduction in - let module U = UriManager in - let cobj,ugraph1 = - match CicEnvironment.is_type_checked ~trust:true ugraph uri with - CicEnvironment.CheckedObj (cobj,ugraph') -> cobj,ugraph' - | CicEnvironment.UncheckedObj uobj -> - logger#log (`Start_type_checking uri) ; - let ugraph1_dust = - check_mutual_inductive_defs ~logger uri uobj ugraph - in - (* check ugraph1 validity ??? == ugraph' *) - try - CicEnvironment.set_type_checking_info uri ; - logger#log (`Type_checking_completed uri) ; - (match - CicEnvironment.is_type_checked ~trust:false ugraph uri - with - CicEnvironment.CheckedObj (cobj,ugraph') -> cobj,ugraph' - | CicEnvironment.UncheckedObj _ -> - raise CicEnvironmentError) - with - Invalid_argument s -> - (*debug_print (lazy s);*) - uobj,ugraph1_dust - in - match cobj with - C.InductiveDefinition (dl,_,_,_) -> - let (_,_,_,cl) = List.nth dl i in - let (_,ty) = List.nth cl (j-1) in - ty,ugraph1 - | _ -> - raise (TypeCheckerFailure - (lazy ("Unknown mutual inductive definition:" ^ UriManager.string_of_uri uri))) + raise (TypeCheckerFailure ( + lazy ("Unknown mutual inductive definition:" ^ + UriManager.string_of_uri uri))) and recursive_args context n nn te = let module C = Cic in @@ -746,7 +565,7 @@ and check_is_really_smaller_arg ~subst context n nn kl x safes te = (match term with C.Rel m when List.mem m safes || m = x -> let (lefts_and_tys,len,isinductive,paramsno,cl) = - let o,_ = CicEnvironment.get_obj CicUniv.empty_ugraph uri in + let o,_ = CicEnvironment.get_obj CicUniv.empty_ugraph uri in match o with C.InductiveDefinition (tl,_,paramsno,_) -> let tys = @@ -864,7 +683,7 @@ and check_is_really_smaller_arg ~subst context n nn kl x safes te = (fun (types,len) (n,_,ty,_) -> (Some (C.Name n,(C.Decl (CicSubstitution.lift len ty)))::types, len+1) - ) ([],0) fl + ) ([],0) fl and safes' = List.map (fun x -> x + len) safes in List.fold_right (fun (_,_,ty,bo) i -> @@ -882,7 +701,7 @@ and check_is_really_smaller_arg ~subst context n nn kl x safes te = (fun (types,len) (n,ty,_) -> (Some (C.Name n,(C.Decl (CicSubstitution.lift len ty)))::types, len+1) - ) ([],0) fl + ) ([],0) fl and safes' = List.map (fun x -> x + len) safes in List.fold_right (fun (_,ty,bo) i -> @@ -947,7 +766,7 @@ and guarded_by_destructors ~subst context n nn kl x safes = (match CicReduction.whd ~subst context term with C.Rel m when List.mem m safes || m = x -> let (lefts_and_tys,len,isinductive,paramsno,cl) = - let o,_ = CicEnvironment.get_obj CicUniv.empty_ugraph uri in + let o,_ = CicEnvironment.get_obj CicUniv.empty_ugraph uri in match o with C.InductiveDefinition (tl,_,paramsno,_) -> let len = List.length tl in @@ -1004,7 +823,7 @@ and guarded_by_destructors ~subst context n nn kl x safes = ) pl_and_cl true | C.Appl ((C.Rel m)::tl) when List.mem m safes || m = x -> let (lefts_and_tys,len,isinductive,paramsno,cl) = - let o,_ = CicEnvironment.get_obj CicUniv.empty_ugraph uri in + let o,_ = CicEnvironment.get_obj CicUniv.empty_ugraph uri in match o with C.InductiveDefinition (tl,_,paramsno,_) -> let (_,isinductive,_,cl) = List.nth tl i in @@ -1080,7 +899,7 @@ and guarded_by_destructors ~subst context n nn kl x safes = (fun (types,len) (n,_,ty,_) -> (Some (C.Name n,(C.Decl (CicSubstitution.lift len ty)))::types, len+1) - ) ([],0) fl + ) ([],0) fl and safes' = List.map (fun x -> x + len) safes in List.fold_right (fun (_,_,ty,bo) i -> @@ -1098,7 +917,7 @@ and guarded_by_destructors ~subst context n nn kl x safes = (fun (types,len) (n,ty,_) -> (Some (C.Name n,(C.Decl (CicSubstitution.lift len ty)))::types, len+1) - ) ([],0) fl + ) ([],0) fl and safes' = List.map (fun x -> x + len) safes in List.fold_right (fun (_,ty,bo) i -> @@ -1136,11 +955,11 @@ and guarded_by_constructors ~subst context n nn h te args coInductiveTypeURI = List.fold_right (fun x i -> i && does_not_occur ~subst context n nn x) tl true | C.Appl ((C.MutConstruct (uri,i,j,exp_named_subst))::tl) -> let consty = - let obj,_ = - try - CicEnvironment.get_cooked_obj ~trust:false CicUniv.empty_ugraph uri - with Not_found -> assert false - in + let obj,_ = + try + CicEnvironment.get_cooked_obj ~trust:false CicUniv.empty_ugraph uri + with Not_found -> assert false + in match obj with C.InductiveDefinition (itl,_,_,_) -> let (_,_,_,cl) = List.nth itl i in @@ -1256,7 +1075,7 @@ and guarded_by_constructors ~subst context n nn h te args coInductiveTypeURI = (fun (types,len) (n,ty,_) -> (Some (C.Name n,(C.Decl (CicSubstitution.lift len ty)))::types, len+1) - ) ([],0) fl + ) ([],0) fl in List.fold_right (fun (_,ty,bo) i -> @@ -1303,7 +1122,7 @@ and guarded_by_constructors ~subst context n nn h te args coInductiveTypeURI = (fun (types,len) (n,_,ty,_) -> (Some (C.Name n,(C.Decl (CicSubstitution.lift len ty)))::types, len+1) - ) ([],0) fl + ) ([],0) fl in List.fold_right (fun (_,_,ty,bo) i -> @@ -1320,7 +1139,7 @@ and guarded_by_constructors ~subst context n nn h te args coInductiveTypeURI = (fun (types,len) (n,ty,_) -> (Some (C.Name n,(C.Decl (CicSubstitution.lift len ty)))::types, len+1) - ) ([],0) fl + ) ([],0) fl in List.fold_right (fun (_,ty,bo) i -> @@ -1330,89 +1149,6 @@ and guarded_by_constructors ~subst context n nn h te args coInductiveTypeURI = args coInductiveTypeURI ) fl true -and check_allowed_sort_elimination ~subst ~metasenv ~logger context uri i - need_dummy ind arity1 arity2 ugraph = - let module C = Cic in - let module U = UriManager in - let arity1 = CicReduction.whd ~subst context arity1 in - let rec check_allowed_sort_elimination_aux ugraph context arity2 need_dummy = - match arity1, CicReduction.whd ~subst context arity2 with - (C.Prod (_,so1,de1), C.Prod (_,so2,de2)) -> - let b,ugraph1 = - CicReduction.are_convertible ~subst ~metasenv context so1 so2 ugraph in - if b then - check_allowed_sort_elimination ~subst ~metasenv ~logger context uri i - need_dummy (C.Appl [CicSubstitution.lift 1 ind ; C.Rel 1]) de1 de2 - ugraph1 - else - false,ugraph1 - | (C.Sort _, C.Prod (name,so,ta)) when not need_dummy -> - let b,ugraph1 = - CicReduction.are_convertible ~subst ~metasenv context so ind ugraph in - if not b then - false,ugraph1 - else - check_allowed_sort_elimination_aux ugraph1 - ((Some (name,C.Decl so))::context) ta true - | (C.Sort C.Prop, C.Sort C.Prop) when need_dummy -> true,ugraph - | (C.Sort C.Prop, C.Sort C.Set) - | (C.Sort C.Prop, C.Sort C.CProp) - | (C.Sort C.Prop, C.Sort (C.Type _) ) when need_dummy -> - (let o,_ = CicEnvironment.get_obj CicUniv.empty_ugraph uri in - match o with - C.InductiveDefinition (itl,_,paramsno,_) -> - let itl_len = List.length itl in - let (name,_,ty,cl) = List.nth itl i in - let cl_len = List.length cl in - if (cl_len = 0 || (itl_len = 1 && cl_len = 1)) then - let non_informative,ugraph = - if cl_len = 0 then true,ugraph - else - is_non_informative ~logger [Some (C.Name name,C.Decl ty)] - paramsno (snd (List.nth cl 0)) ugraph - in - (* is it a singleton or empty non recursive and non informative - definition? *) - non_informative, ugraph - else - false,ugraph - | _ -> - raise (TypeCheckerFailure - (lazy ("Unknown mutual inductive definition:" ^ - UriManager.string_of_uri uri))) - ) - | (C.Sort C.Set, C.Sort C.Prop) when need_dummy -> true , ugraph - | (C.Sort C.CProp, C.Sort C.Prop) when need_dummy -> true , ugraph - | (C.Sort C.Set, C.Sort C.Set) when need_dummy -> true , ugraph - | (C.Sort C.Set, C.Sort C.CProp) when need_dummy -> true , ugraph - | (C.Sort C.CProp, C.Sort C.Set) when need_dummy -> true , ugraph - | (C.Sort C.CProp, C.Sort C.CProp) when need_dummy -> true , ugraph - | ((C.Sort C.Set, C.Sort (C.Type _)) | (C.Sort C.CProp, C.Sort (C.Type _))) - when need_dummy -> - (let o,_ = CicEnvironment.get_obj CicUniv.empty_ugraph uri in - match o with - C.InductiveDefinition (itl,_,paramsno,_) -> - let tys = - List.map (fun (n,_,ty,_) -> Some (Cic.Name n,(Cic.Decl ty))) itl - in - let (_,_,_,cl) = List.nth itl i in - (List.fold_right - (fun (_,x) (i,ugraph) -> - if i then - is_small ~logger tys paramsno x ugraph - else - false,ugraph - ) cl (true,ugraph)) - | _ -> - raise (TypeCheckerFailure - (lazy ("Unknown mutual inductive definition:" ^ - UriManager.string_of_uri uri))) - ) - | (C.Sort (C.Type _), C.Sort _) when need_dummy -> true , ugraph - | (_,_) -> false,ugraph - in - check_allowed_sort_elimination_aux ugraph context arity2 need_dummy - and type_of_branch ~subst context argsno need_dummy outtype term constype = let module C = Cic in let module R = CicReduction in @@ -1440,627 +1176,6 @@ and type_of_branch ~subst context argsno need_dummy outtype term constype = (CicSubstitution.lift 1 outtype) term' de) | _ -> raise (AssertFailure (lazy "20")) -(* check_metasenv_consistency checks that the "canonical" context of a -metavariable is consitent - up to relocation via the relocation list l - -with the actual context *) - - -and check_metasenv_consistency ~logger ~subst metasenv context - canonical_context l ugraph -= - let module C = Cic in - let module R = CicReduction in - let module S = CicSubstitution in - let lifted_canonical_context = - let rec aux i = - function - [] -> [] - | (Some (n,C.Decl t))::tl -> - (Some (n,C.Decl (S.subst_meta l (S.lift i t))))::(aux (i+1) tl) - | None::tl -> None::(aux (i+1) tl) - | (Some (n,C.Def (t,ty)))::tl -> - (Some (n,C.Def ((S.subst_meta l (S.lift i t)),S.subst_meta l (S.lift i ty))))::(aux (i+1) tl) - in - aux 1 canonical_context - in - List.fold_left2 - (fun ugraph t ct -> - match (t,ct) with - | _,None -> ugraph - | Some t,Some (_,C.Def (ct,_)) -> - (*CSC: the following optimization is to avoid a possibly expensive - reduction that can be easily avoided and that is quite - frequent. However, this is better handled using levels to - control reduction *) - let optimized_t = - match t with - Cic.Rel n -> - (try - match List.nth context (n - 1) with - Some (_,C.Def (te,_)) -> S.lift n te - | _ -> t - with - Failure _ -> t) - | _ -> t - in -(*if t <> optimized_t && optimized_t = ct then prerr_endline "!!!!!!!!!!!!!!!" -else if t <> optimized_t then prerr_endline ("@@ " ^ CicPp.ppterm t ^ " ==> " ^ CicPp.ppterm optimized_t ^ " <==> " ^ CicPp.ppterm ct);*) - let b,ugraph1 = - R.are_convertible ~subst ~metasenv context optimized_t ct ugraph - in - if not b then - raise - (TypeCheckerFailure - (lazy (sprintf "Not well typed metavariable local context: expected a term convertible with %s, found %s" (CicPp.ppterm ct) (CicPp.ppterm t)))) - else - ugraph1 - | Some t,Some (_,C.Decl ct) -> - let type_t,ugraph1 = - type_of_aux' ~logger ~subst metasenv context t ugraph - in - let b,ugraph2 = - R.are_convertible ~subst ~metasenv context type_t ct ugraph1 - in - if not b then - raise (TypeCheckerFailure - (lazy (sprintf "Not well typed metavariable local context: expected a term of type %s, found %s of type %s" - (CicPp.ppterm ct) (CicPp.ppterm t) - (CicPp.ppterm type_t)))) - else - ugraph2 - | None, _ -> - raise (TypeCheckerFailure - (lazy ("Not well typed metavariable local context: "^ - "an hypothesis, that is not hidden, is not instantiated"))) - ) ugraph l lifted_canonical_context - - -(* - type_of_aux' is just another name (with a different scope) - for type_of_aux -*) - -and type_of_aux' ~logger ?(subst = []) metasenv context t ugraph = - let rec type_of_aux ~logger context t ugraph = - let module C = Cic in - let module R = CicReduction in - let module S = CicSubstitution in - let module U = UriManager in - match t with - C.Rel n -> - (try - match List.nth context (n - 1) with - Some (_,C.Decl t) -> S.lift n t,ugraph - | Some (_,C.Def (_,ty)) -> S.lift n ty,ugraph - | None -> raise - (TypeCheckerFailure (lazy "Reference to deleted hypothesis")) - with - Failure _ -> - raise (TypeCheckerFailure (lazy "unbound variable")) - ) - | C.Var (uri,exp_named_subst) -> - incr fdebug ; - let ugraph1 = - check_exp_named_subst ~logger ~subst context exp_named_subst ugraph - in - let ty,ugraph2 = type_of_variable ~logger uri ugraph1 in - let ty1 = CicSubstitution.subst_vars exp_named_subst ty in - decr fdebug ; - ty1,ugraph2 - | C.Meta (n,l) -> - (try - let (canonical_context,term,ty) = CicUtil.lookup_subst n subst in - let ugraph1 = - check_metasenv_consistency ~logger - ~subst metasenv context canonical_context l ugraph - in - (* assuming subst is well typed !!!!! *) - ((CicSubstitution.subst_meta l ty), ugraph1) - (* type_of_aux context (CicSubstitution.subst_meta l term) *) - with CicUtil.Subst_not_found _ -> - let (_,canonical_context,ty) = CicUtil.lookup_meta n metasenv in - let ugraph1 = - check_metasenv_consistency ~logger - ~subst metasenv context canonical_context l ugraph - in - ((CicSubstitution.subst_meta l ty),ugraph1)) - (* TASSI: CONSTRAINTS *) - | C.Sort (C.Type t) -> - let t' = CicUniv.fresh() in - (try - let ugraph1 = CicUniv.add_gt t' t ugraph in - (C.Sort (C.Type t')),ugraph1 - with - CicUniv.UniverseInconsistency msg -> raise (TypeCheckerFailure msg)) - | C.Sort s -> (C.Sort (C.Type (CicUniv.fresh ()))),ugraph - | C.Implicit _ -> raise (AssertFailure (lazy "Implicit found")) - | C.Cast (te,ty) as t -> - let _,ugraph1 = type_of_aux ~logger context ty ugraph in - let ty_te,ugraph2 = type_of_aux ~logger context te ugraph1 in - let b,ugraph3 = - R.are_convertible ~subst ~metasenv context ty_te ty ugraph2 - in - if b then - ty,ugraph3 - else - raise (TypeCheckerFailure - (lazy (sprintf "Invalid cast %s" (CicPp.ppterm t)))) - | C.Prod (name,s,t) -> - let sort1,ugraph1 = type_of_aux ~logger context s ugraph in - let sort2,ugraph2 = - type_of_aux ~logger ((Some (name,(C.Decl s)))::context) t ugraph1 - in - sort_of_prod ~subst context (name,s) (sort1,sort2) ugraph2 - | C.Lambda (n,s,t) -> - let sort1,ugraph1 = type_of_aux ~logger context s ugraph in - (match R.whd ~subst context sort1 with - C.Meta _ - | C.Sort _ -> () - | _ -> - raise - (TypeCheckerFailure (lazy (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)))) - ) ; - let type2,ugraph2 = - type_of_aux ~logger ((Some (n,(C.Decl s)))::context) t ugraph1 - in - (C.Prod (n,s,type2)),ugraph2 - | C.LetIn (n,s,ty,t) -> - (* only to check if s is well-typed *) - let ty',ugraph1 = type_of_aux ~logger context s ugraph in - let b,ugraph1 = - R.are_convertible ~subst ~metasenv context ty ty' ugraph1 - in - if not b then - raise - (TypeCheckerFailure - (lazy (sprintf - "The type of %s is %s but it is expected to be %s" - (CicPp.ppterm s) (CicPp.ppterm ty') (CicPp.ppterm ty)))) - else - (* The type of a LetIn is a LetIn. Extremely slow since the computed - LetIn is later reduced and maybe also re-checked. - (C.LetIn (n,s, type_of_aux ((Some (n,(C.Def s)))::context) t)) - *) - (* The type of the LetIn is reduced. Much faster than the previous - solution. Moreover the inferred type is probably very different - from the expected one. - (CicReduction.whd ~subst context - (C.LetIn (n,s, type_of_aux ((Some (n,(C.Def s)))::context) t))) - *) - (* One-step LetIn reduction. Even faster than the previous solution. - Moreover the inferred type is closer to the expected one. *) - let ty1,ugraph2 = - type_of_aux ~logger - ((Some (n,(C.Def (s,ty))))::context) t ugraph1 - in - (CicSubstitution.subst ~avoid_beta_redexes:true s ty1),ugraph2 - | C.Appl (he::tl) when List.length tl > 0 -> - let hetype,ugraph1 = type_of_aux ~logger context he ugraph in - let tlbody_and_type,ugraph2 = - List.fold_right ( - fun x (l,ugraph) -> - let ty,ugraph1 = type_of_aux ~logger context x ugraph in - (*let _,ugraph1 = type_of_aux ~logger context ty ugraph1 in*) - ((x,ty)::l,ugraph1)) - tl ([],ugraph1) - in - (* TASSI: questa c'era nel mio... ma non nel CVS... *) - (* let _,ugraph2 = type_of_aux context hetype ugraph2 in *) - eat_prods ~subst context hetype tlbody_and_type ugraph2 - | C.Appl _ -> raise (AssertFailure (lazy "Appl: no arguments")) - | C.Const (uri,exp_named_subst) -> - incr fdebug ; - let ugraph1 = - check_exp_named_subst ~logger ~subst context exp_named_subst ugraph - in - let cty,ugraph2 = type_of_constant ~logger uri ugraph1 in - let cty1 = - CicSubstitution.subst_vars exp_named_subst cty - in - decr fdebug ; - cty1,ugraph2 - | C.MutInd (uri,i,exp_named_subst) -> - incr fdebug ; - let ugraph1 = - check_exp_named_subst ~logger ~subst context exp_named_subst ugraph - in - (* TASSI: da me c'era anche questa, ma in CVS no *) - let mty,ugraph2 = type_of_mutual_inductive_defs ~logger uri i ugraph1 in - (* fine parte dubbia *) - let cty = - CicSubstitution.subst_vars exp_named_subst mty - in - decr fdebug ; - cty,ugraph2 - | C.MutConstruct (uri,i,j,exp_named_subst) -> - let ugraph1 = - check_exp_named_subst ~logger ~subst context exp_named_subst ugraph - in - (* TASSI: idem come sopra *) - let mty,ugraph2 = - type_of_mutual_inductive_constr ~logger uri i j ugraph1 - in - let cty = - CicSubstitution.subst_vars exp_named_subst mty - in - cty,ugraph2 - | C.MutCase (uri,i,outtype,term,pl) -> - let outsort,ugraph1 = type_of_aux ~logger context outtype ugraph in - let (need_dummy, k) = - let rec guess_args context t = - let outtype = CicReduction.whd ~subst context t in - match outtype with - C.Sort _ -> (true, 0) - | C.Prod (name, s, t) -> - let (b, n) = - guess_args ((Some (name,(C.Decl s)))::context) t in - if n = 0 then - (* last prod before sort *) - match CicReduction.whd ~subst context s with -(*CSC: for _ see comment below about the missing named_exp_subst ?????????? *) - C.MutInd (uri',i',_) when U.eq uri' uri && i' = i -> - (false, 1) -(*CSC: for _ see comment below about the missing named_exp_subst ?????????? *) - | C.Appl ((C.MutInd (uri',i',_)) :: _) - when U.eq uri' uri && i' = i -> (false, 1) - | _ -> (true, 1) - else - (b, n + 1) - | _ -> - raise - (TypeCheckerFailure - (lazy (sprintf - "Malformed case analasys' output type %s" - (CicPp.ppterm outtype)))) - in -(* - let (parameters, arguments, exp_named_subst),ugraph2 = - let ty,ugraph2 = type_of_aux context term ugraph1 in - match R.whd ~subst context ty with - (*CSC manca il caso dei CAST *) -(*CSC: ma servono i parametri (uri,i)? Se si', perche' non serve anche il *) -(*CSC: parametro exp_named_subst? Se no, perche' non li togliamo? *) -(*CSC: Hint: nella DTD servono per gli stylesheet. *) - C.MutInd (uri',i',exp_named_subst) as typ -> - if U.eq uri uri' && i = i' then - ([],[],exp_named_subst),ugraph2 - else - raise - (TypeCheckerFailure - (lazy (sprintf - ("Case analysys: analysed term type is %s, but is expected to be (an application of) %s#1/%d{_}") - (CicPp.ppterm typ) (U.string_of_uri uri) i))) - | C.Appl - ((C.MutInd (uri',i',exp_named_subst) as typ):: tl) as typ' -> - if U.eq uri uri' && i = i' then - let params,args = - split tl (List.length tl - k) - in (params,args,exp_named_subst),ugraph2 - else - raise - (TypeCheckerFailure - (lazy (sprintf - ("Case analysys: analysed term type is %s, "^ - "but is expected to be (an application of) "^ - "%s#1/%d{_}") - (CicPp.ppterm typ') (U.string_of_uri uri) i))) - | _ -> - raise - (TypeCheckerFailure - (lazy (sprintf - ("Case analysis: "^ - "analysed term %s is not an inductive one") - (CicPp.ppterm term)))) -*) - let (b, k) = guess_args context outsort in - if not b then (b, k - 1) else (b, k) in - let (parameters, arguments, exp_named_subst),ugraph2 = - let ty,ugraph2 = type_of_aux ~logger context term ugraph1 in - match R.whd ~subst context ty with - C.MutInd (uri',i',exp_named_subst) as typ -> - if U.eq uri uri' && i = i' then - ([],[],exp_named_subst),ugraph2 - else raise - (TypeCheckerFailure - (lazy (sprintf - ("Case analysys: analysed term type is %s (%s#1/%d{_}), but is expected to be (an application of) %s#1/%d{_}") - (CicPp.ppterm typ) (U.string_of_uri uri') i' (U.string_of_uri uri) i))) - | C.Appl ((C.MutInd (uri',i',exp_named_subst) as typ):: tl) -> - if U.eq uri uri' && i = i' then - let params,args = - split tl (List.length tl - k) - in (params,args,exp_named_subst),ugraph2 - else raise - (TypeCheckerFailure - (lazy (sprintf - ("Case analysys: analysed term type is %s (%s#1/%d{_}), but is expected to be (an application of) %s#1/%d{_}") - (CicPp.ppterm typ) (U.string_of_uri uri') i' (U.string_of_uri uri) i))) - | _ -> - raise - (TypeCheckerFailure - (lazy (sprintf - "Case analysis: analysed term %s is not an inductive one" - (CicPp.ppterm term)))) - in - (* - let's control if the sort elimination is allowed: - [(I q1 ... qr)|B] - *) - let sort_of_ind_type = - if parameters = [] then - C.MutInd (uri,i,exp_named_subst) - else - C.Appl ((C.MutInd (uri,i,exp_named_subst))::parameters) - in - let type_of_sort_of_ind_ty,ugraph3 = - type_of_aux ~logger context sort_of_ind_type ugraph2 in - let b,ugraph4 = - check_allowed_sort_elimination ~subst ~metasenv ~logger context uri i - need_dummy sort_of_ind_type type_of_sort_of_ind_ty outsort ugraph3 - in - if not b then - raise - (TypeCheckerFailure (lazy ("Case analysis: sort elimination not allowed"))); - (* let's check if the type of branches are right *) - let parsno,constructorsno = - let obj,_ = - try - CicEnvironment.get_cooked_obj ~trust:false CicUniv.empty_ugraph uri - with Not_found -> assert false - in - match obj with - C.InductiveDefinition (il,_,parsno,_) -> - let _,_,_,cl = - try List.nth il i with Failure _ -> assert false - in - parsno, List.length cl - | _ -> - raise (TypeCheckerFailure - (lazy ("Unknown mutual inductive definition:" ^ - UriManager.string_of_uri uri))) - in - if List.length pl <> constructorsno then - raise (TypeCheckerFailure - (lazy ("Wrong number of cases in case analysis"))) ; - let (_,branches_ok,ugraph5) = - List.fold_left - (fun (j,b,ugraph) p -> - if b then - let cons = - if parameters = [] then - (C.MutConstruct (uri,i,j,exp_named_subst)) - else - (C.Appl - (C.MutConstruct (uri,i,j,exp_named_subst)::parameters)) - in - let ty_p,ugraph1 = type_of_aux ~logger context p ugraph in - let ty_cons,ugraph3 = type_of_aux ~logger context cons ugraph1 in - (* 2 is skipped *) - let ty_branch = - type_of_branch ~subst context parsno need_dummy outtype cons - ty_cons in - let b1,ugraph4 = - R.are_convertible - ~subst ~metasenv context ty_p ty_branch ugraph3 - in -(* Debugging code -if not b1 then -begin -prerr_endline ("\n!OUTTYPE= " ^ CicPp.ppterm outtype); -prerr_endline ("!CONS= " ^ CicPp.ppterm cons); -prerr_endline ("!TY_CONS= " ^ CicPp.ppterm ty_cons); -prerr_endline ("#### " ^ CicPp.ppterm ty_p ^ "\n<==>\n" ^ CicPp.ppterm ty_branch); -end; -*) - if not b1 then - debug_print (lazy - ("#### " ^ CicPp.ppterm ty_p ^ - " <==> " ^ CicPp.ppterm ty_branch)); - (j + 1,b1,ugraph4) - else - (j,false,ugraph) - ) (1,true,ugraph4) pl - in - if not branches_ok then - raise - (TypeCheckerFailure (lazy "Case analysys: wrong branch type")); - let arguments' = - if not need_dummy then outtype::arguments@[term] - else outtype::arguments in - let outtype = - if need_dummy && arguments = [] then outtype - else CicReduction.head_beta_reduce (C.Appl arguments') - in - outtype,ugraph5 - | C.Fix (i,fl) -> - let types,kl,ugraph1,len = - List.fold_left - (fun (types,kl,ugraph,len) (n,k,ty,_) -> - let _,ugraph1 = type_of_aux ~logger context ty ugraph in - (Some (C.Name n,(C.Decl (CicSubstitution.lift len ty)))::types, - k::kl,ugraph1,len+1) - ) ([],[],ugraph,0) fl - in - let ugraph2 = - List.fold_left - (fun ugraph (name,x,ty,bo) -> - let ty_bo,ugraph1 = - type_of_aux ~logger (types@context) bo ugraph - in - let b,ugraph2 = - R.are_convertible ~subst ~metasenv (types@context) - ty_bo (CicSubstitution.lift len ty) ugraph1 in - if b then - begin - let (m, eaten, context') = - eat_lambdas ~subst (types @ context) (x + 1) bo - in - (* - let's control the guarded by - destructors conditions D{f,k,x,M} - *) - if not (guarded_by_destructors ~subst context' eaten - (len + eaten) kl 1 [] m) then - raise - (TypeCheckerFailure - (lazy ("Fix: not guarded by destructors"))) - else - ugraph2 - end - else - raise (TypeCheckerFailure (lazy ("Fix: ill-typed bodies"))) - ) ugraph1 fl in - (*CSC: controlli mancanti solo su D{f,k,x,M} *) - let (_,_,ty,_) = List.nth fl i in - ty,ugraph2 - | C.CoFix (i,fl) -> - let types,ugraph1,len = - List.fold_left - (fun (l,ugraph,len) (n,ty,_) -> - let _,ugraph1 = - type_of_aux ~logger context ty ugraph in - (Some (C.Name n,(C.Decl (CicSubstitution.lift len ty)))::l, - ugraph1,len+1) - ) ([],ugraph,0) fl - in - let ugraph2 = - List.fold_left - (fun ugraph (_,ty,bo) -> - let ty_bo,ugraph1 = - type_of_aux ~logger (types @ context) bo ugraph - in - let b,ugraph2 = - R.are_convertible ~subst ~metasenv (types @ context) ty_bo - (CicSubstitution.lift len ty) ugraph1 - in - if b then - begin - (* let's control that the returned type is coinductive *) - match returns_a_coinductive ~subst context ty with - None -> - raise - (TypeCheckerFailure - (lazy "CoFix: does not return a coinductive type")) - | Some uri -> - (* - let's control the guarded by constructors - conditions C{f,M} - *) - if not (guarded_by_constructors ~subst - (types @ context) 0 len false bo [] uri) then - raise - (TypeCheckerFailure - (lazy "CoFix: not guarded by constructors")) - else - ugraph2 - end - else - raise - (TypeCheckerFailure (lazy "CoFix: ill-typed bodies")) - ) ugraph1 fl - in - let (_,ty,_) = List.nth fl i in - ty,ugraph2 - - and check_exp_named_subst ~logger ~subst context ugraph = - let rec check_exp_named_subst_aux ~logger esubsts l ugraph = - match l with - [] -> ugraph - | ((uri,t) as item)::tl -> - let ty_uri,ugraph1 = type_of_variable ~logger uri ugraph in - let typeofvar = - CicSubstitution.subst_vars esubsts ty_uri in - let typeoft,ugraph2 = type_of_aux ~logger context t ugraph1 in - let b,ugraph3 = - CicReduction.are_convertible ~subst ~metasenv - context typeoft typeofvar ugraph2 - in - if b then - check_exp_named_subst_aux ~logger (esubsts@[item]) tl ugraph3 - else - begin - CicReduction.fdebug := 0 ; - ignore - (CicReduction.are_convertible - ~subst ~metasenv context typeoft typeofvar ugraph2) ; - fdebug := 0 ; - debug typeoft [typeofvar] ; - raise (TypeCheckerFailure (lazy "Wrong Explicit Named Substitution")) - end - in - check_exp_named_subst_aux ~logger [] ugraph - - and sort_of_prod ~subst context (name,s) (t1, t2) ugraph = - let module C = Cic in - let t1' = CicReduction.whd ~subst context t1 in - let t2' = CicReduction.whd ~subst ((Some (name,C.Decl s))::context) t2 in - match (t1', t2') with - (C.Sort s1, C.Sort s2) - when (s2 = C.Prop or s2 = C.Set or s2 = C.CProp) -> - (* different from Coq manual!!! *) - C.Sort s2,ugraph - | (C.Sort (C.Type t1), C.Sort (C.Type t2)) -> - (* TASSI: CONSRTAINTS: the same in doubletypeinference, cicrefine *) - let t' = CicUniv.fresh() in - (try - let ugraph1 = CicUniv.add_ge t' t1 ugraph in - let ugraph2 = CicUniv.add_ge t' t2 ugraph1 in - C.Sort (C.Type t'),ugraph2 - with - CicUniv.UniverseInconsistency msg -> raise (TypeCheckerFailure msg)) - | (C.Sort _,C.Sort (C.Type t1)) -> - (* TASSI: CONSRTAINTS: the same in doubletypeinference, cicrefine *) - C.Sort (C.Type t1),ugraph (* c'e' bisogno di un fresh? *) - | (C.Meta _, C.Sort _) -> t2',ugraph - | (C.Meta _, (C.Meta (_,_) as t)) - | (C.Sort _, (C.Meta (_,_) as t)) when CicUtil.is_closed t -> - t2',ugraph - | (_,_) -> raise (TypeCheckerFailure (lazy (sprintf - "Prod: expected two sorts, found = %s, %s" (CicPp.ppterm t1') - (CicPp.ppterm t2')))) - - and eat_prods ~subst context hetype l ugraph = - (*CSC: siamo sicuri che le are_convertible non lavorino con termini non *) - (*CSC: cucinati *) - match l with - [] -> hetype,ugraph - | (hete, hety)::tl -> - (match (CicReduction.whd ~subst context hetype) with - Cic.Prod (n,s,t) -> - let b,ugraph1 = -(*if (match hety,s with Cic.Sort _,Cic.Sort _ -> false | _,_ -> true) && hety <> s then( -prerr_endline ("AAA22: " ^ CicPp.ppterm hete ^ ": " ^ CicPp.ppterm hety ^ " <==> " ^ CicPp.ppterm s); let res = CicReduction.are_convertible ~subst ~metasenv context hety s ugraph in prerr_endline "#"; res) else*) - CicReduction.are_convertible - ~subst ~metasenv context hety s ugraph - in - if b then - begin - CicReduction.fdebug := -1 ; - eat_prods ~subst context - (CicSubstitution.subst ~avoid_beta_redexes:true hete t) - tl ugraph1 - (*TASSI: not sure *) - end - else - begin - CicReduction.fdebug := 0 ; - ignore (CicReduction.are_convertible - ~subst ~metasenv context s hety ugraph) ; - fdebug := 0 ; - debug s [hety] ; - raise - (TypeCheckerFailure - (lazy (sprintf - ("Appl: wrong parameter-type, expected %s, found %s") - (CicPp.ppterm hetype) (CicPp.ppterm s)))) - end - | _ -> - raise (TypeCheckerFailure - (lazy "Appl: this is not a function, it cannot be applied")) - ) - and returns_a_coinductive ~subst context ty = let module C = Cic in match CicReduction.whd ~subst context ty with @@ -2082,7 +1197,7 @@ prerr_endline ("AAA22: " ^ CicPp.ppterm hete ^ ": " ^ CicPp.ppterm hety ^ " <==> ) | C.Appl ((C.MutInd (uri,i,_))::_) -> (let o,_ = CicEnvironment.get_obj CicUniv.empty_ugraph uri in - match o with + match o with C.InductiveDefinition (itl,_,_,_) -> let (_,is_inductive,_,_) = List.nth itl i in if is_inductive then None else (Some uri) @@ -2096,59 +1211,409 @@ prerr_endline ("AAA22: " ^ CicPp.ppterm hete ^ ": " ^ CicPp.ppterm hety ^ " <==> | _ -> None in -(*CSC -debug_print (lazy ("INIZIO TYPE_OF_AUX " ^ CicPp.ppterm t)) ; flush stderr ; -let res = -*) type_of_aux ~logger context t ugraph -(* -in debug_print (lazy "FINE TYPE_OF_AUX") ; flush stderr ; res -*) -(* is a small constructor? *) -(*CSC: ottimizzare calcolando staticamente *) -and is_small_or_non_informative ~condition ~logger context paramsno c ugraph = - let rec is_small_or_non_informative_aux ~logger context c ugraph = - let module C = Cic in - match CicReduction.whd context c with - C.Prod (n,so,de) -> - let s,ugraph1 = type_of_aux' ~logger [] context so ugraph in - let b = condition s in - if b then - is_small_or_non_informative_aux - ~logger ((Some (n,(C.Decl so)))::context) de ugraph1 - else - false,ugraph1 - | _ -> true,ugraph (*CSC: we trust the type-checker *) - in - let (context',dx) = split_prods ~subst:[] context paramsno c in - is_small_or_non_informative_aux ~logger context' dx ugraph +;; -and is_small ~logger = - is_small_or_non_informative - ~condition:(fun s -> s=Cic.Sort Cic.Prop || s=Cic.Sort Cic.Set) - ~logger +(** wrappers which instantiate fresh loggers *) -and is_non_informative ~logger = - is_small_or_non_informative - ~condition:(fun s -> s=Cic.Sort Cic.Prop) - ~logger +(* check_allowed_sort_elimination uri i s1 s2 + This function is used outside the kernel to determine in advance whether + a MutCase will be allowed or not. + [uri,i] is the type of the term to match + [s1] is the sort of the term to eliminate (i.e. the head of the arity + of the inductive type [uri,i]) + [s2] is the sort of the goal (i.e. the head of the type of the outtype + of the MutCase) *) +let check_allowed_sort_elimination uri i s1 s2 = + fst (check_allowed_sort_elimination ~subst:[] ~metasenv:[] + ~logger:(new CicLogger.logger) [] uri i true + (Cic.Implicit None) (* never used *) (Cic.Sort s1) (Cic.Sort s2) + CicUniv.empty_ugraph) +;; + +Deannotate.type_of_aux' := fun context t -> fst (type_of_aux' [] context t CicUniv.oblivion_ugraph);; -and type_of ~logger t ugraph = -(*CSC -debug_print (lazy ("INIZIO TYPE_OF_AUX' " ^ CicPp.ppterm t)) ; flush stderr ; -let res = -*) - type_of_aux' ~logger [] [] t ugraph -(*CSC -in debug_print (lazy "FINE TYPE_OF_AUX'") ; flush stderr ; res *) + +module C = NCic +module R = NCicReduction +module Ref = NReference +module S = NCicSubstitution +module U = NCicUtils +module E = NCicEnvironment + +let rec split_prods ~subst context n te = + match (n, R.whd ~subst context te) with + | (0, _) -> context,te + | (n, C.Prod (name,so,ta)) when n > 0 -> + split_prods ~subst ((name,(C.Decl so))::context) (n - 1) ta + | (_, _) -> raise (AssertFailure (lazy "split_prods")) ;; -let typecheck_obj0 ~logger uri ugraph = - let module C = Cic in - function - C.Constant (_,Some te,ty,_,_) -> +let sort_of_prod ~subst context (name,s) (t1, t2) = + let t1 = R.whd ~subst context t1 in + let t2 = R.whd ~subst ((name,C.Decl s)::context) t2 in + match t1, t2 with + | C.Sort s1, C.Sort C.Prop -> t2 + | C.Sort (C.Type u1), C.Sort (C.Type u2) -> C.Sort (C.Type (max u1 u2)) + | C.Sort _,C.Sort (C.Type _) -> t2 + | C.Sort (C.Type _) , C.Sort C.CProp -> t1 + | C.Sort _, C.Sort C.CProp -> t2 + | C.Meta _, C.Sort _ + | C.Meta _, C.Meta _ + | C.Sort _, C.Meta _ when U.is_closed t2 -> t2 + | _ -> + raise (TypeCheckerFailure (lazy (Printf.sprintf + "Prod: expected two sorts, found = %s, %s" + (NCicPp.ppterm t1) (NCicPp.ppterm t2)))) +;; + +let eat_prods ~subst ~metasenv context ty_he args_with_ty = + let rec aux ty_he = function + | [] -> ty_he + | (arg, ty_arg)::tl -> + (match R.whd ~subst context ty_he with + | C.Prod (n,s,t) -> + if R.are_convertible ~subst ~metasenv context ty_arg s then + aux (S.subst ~avoid_beta_redexes:true arg t) tl + else + raise + (TypeCheckerFailure + (lazy (Printf.sprintf + ("Appl: wrong parameter-type, expected %s, found %s") + (NCicPp.ppterm ty_arg) (NCicPp.ppterm s)))) + | _ -> + raise + (TypeCheckerFailure + (lazy "Appl: this is not a function, it cannot be applied"))) + in + aux ty_he args_with_ty +;; + +let rec typeof ~subst ~metasenv context term = + let rec typeof_aux context = function + | C.Rel n -> + (try + match List.nth context (n - 1) with + | (_,C.Decl ty) -> S.lift n ty + | (_,C.Def (_,ty)) -> S.lift n ty + with Failure _ -> raise (TypeCheckerFailure (lazy "unbound variable"))) + | C.Sort (C.Type i) -> C.Sort (C.Type (i+1)) + | C.Sort s -> C.Sort (C.Type 0) + | C.Implicit _ -> raise (AssertFailure (lazy "Implicit found")) + | C.Meta (n,l) as t -> + let canonical_context,ty = + try + let _,c,_,ty = NCicUtils.lookup_subst n subst in c,ty + with NCicUtils.Subst_not_found _ -> try + let _,_,c,ty = NCicUtils.lookup_meta n metasenv in c,ty + with NCicUtils.Meta_not_found _ -> + raise (AssertFailure (lazy (Printf.sprintf + "%s not found" (NCicPp.ppterm t)))) + in + check_metasenv_consistency t context canonical_context l; + S.subst_meta l ty + | C.Const ref -> type_of_constant ref + | C.Prod (name,s,t) -> + let sort1 = typeof_aux context s in + let sort2 = typeof_aux ((name,(C.Decl s))::context) t in + sort_of_prod ~subst context (name,s) (sort1,sort2) + | C.Lambda (n,s,t) -> + let sort = typeof_aux context s in + (match R.whd ~subst context sort with + | C.Meta _ | C.Sort _ -> () + | _ -> + raise + (TypeCheckerFailure (lazy (Printf.sprintf + ("Not well-typed lambda-abstraction: " ^^ + "the source %s should be a type; instead it is a term " ^^ + "of type %s") (NCicPp.ppterm s) (NCicPp.ppterm sort))))); + let ty = typeof_aux ((n,(C.Decl s))::context) t in + C.Prod (n,s,ty) + | C.LetIn (n,ty,t,bo) -> + let ty_t = typeof_aux context t in + if not (R.are_convertible ~subst ~metasenv context ty ty_t) then + raise + (TypeCheckerFailure + (lazy (Printf.sprintf + "The type of %s is %s but it is expected to be %s" + (NCicPp.ppterm t) (NCicPp.ppterm ty_t) (NCicPp.ppterm ty)))) + else + let ty_bo = typeof_aux ((n,C.Def (t,ty))::context) bo in + S.subst ~avoid_beta_redexes:true t ty_bo + | C.Appl (he::(_::_ as args)) -> + let ty_he = typeof_aux context he in + let args_with_ty = List.map (fun t -> t, typeof_aux context t) args in + eat_prods ~subst ~metasenv context ty_he args_with_ty + | C.Appl _ -> raise (AssertFailure (lazy "Appl of length < 2")) + | C.Match (Ref.Ref (dummy_depth,uri,Ref.Ind tyno) as r,outtype,term,pl) -> + let outsort = typeof_aux context outtype in + let leftno = E.get_indty_leftno r in + let parameters, arguments = + let ty = R.whd ~subst context (typeof_aux context term) in + let r',tl = + match ty with + C.Const (Ref.Ref (_,_,Ref.Ind _) as r') -> r',[] + | C.Appl (C.Const (Ref.Ref (_,_,Ref.Ind _) as r') :: tl) -> r',tl + | _ -> + raise + (TypeCheckerFailure (lazy (Printf.sprintf + "Case analysis: analysed term %s is not an inductive one" + (NCicPp.ppterm term)))) in + if not (Ref.eq r r') then + raise + (TypeCheckerFailure (lazy (Printf.sprintf + ("Case analysys: analysed term type is %s, but is expected " ^^ + "to be (an application of) %s") + (NCicPp.ppterm ty) (NCicPp.ppterm (C.Const r'))))) + else + try HExtlib.split_nth leftno tl + with + Failure _ -> + raise (TypeCheckerFailure (lazy (Printf.sprintf + "%s is partially applied" (NCicPp.ppterm ty)))) in + (* let's control if the sort elimination is allowed: [(I q1 ... qr)|B] *) + let sort_of_ind_type = + if parameters = [] then C.Const r + else C.Appl ((C.Const r)::parameters) in + let type_of_sort_of_ind_ty = typeof_aux context sort_of_ind_type in + if not (check_allowed_sort_elimination ~subst ~metasenv r context + sort_of_ind_type type_of_sort_of_ind_ty outsort) + then raise (TypeCheckerFailure (lazy ("Sort elimination not allowed"))); + (* let's check if the type of branches are right *) + let leftno,constructorsno = + let inductive,leftno,itl,_,i = E.get_checked_indtys r in + let _,name,ty,cl = List.nth itl i in + let cl_len = List.length cl in + leftno, cl_len + in + if List.length pl <> constructorsno then + raise (TypeCheckerFailure (lazy ("Wrong number of cases in a match"))); + let j,branches_ok = + List.fold_left + (fun (j,b) p -> + if b then + let cons = + let cons = Ref.Ref (dummy_depth, uri, Ref.Con (tyno, j)) in + if parameters = [] then C.Const cons + else C.Appl (C.Const cons::parameters) + in + let ty_p = typeof_aux context p in + let ty_cons = typeof_aux context cons in + let ty_branch = + type_of_branch ~subst context leftno outtype cons ty_cons in + j+1, R.are_convertible ~subst ~metasenv context ty_p ty_branch + else + j,false + ) (1,true) pl + in + if not branches_ok then + raise + (TypeCheckerFailure + (lazy (Printf.sprintf "Branch for constructor %s has wrong type" + (NCicPp.ppterm (C.Const + (Ref.Ref (dummy_depth, uri, Ref.Con (tyno, j)))))))); + let res = outtype::arguments@[term] in + R.head_beta_reduce (C.Appl res) + | C.Match _ -> assert false + + and type_of_branch ~subst context leftno outty cons tycons = assert false + + (* check_metasenv_consistency checks that the "canonical" context of a + metavariable is consitent - up to relocation via the relocation list l - + with the actual context *) + and check_metasenv_consistency term context canonical_context l = + match l with + | shift, NCic.Irl n -> + let context = snd (HExtlib.split_nth shift context) in + let rec compare = function + | 0,_,[] -> () + | 0,_,_::_ + | _,_,[] -> + raise (AssertFailure (lazy (Printf.sprintf + "Local and canonical context %s have different lengths" + (NCicPp.ppterm term)))) + | m,[],_::_ -> + raise (TypeCheckerFailure (lazy (Printf.sprintf + "Unbound variable -%d in %s" m (NCicPp.ppterm term)))) + | m,t::tl,ct::ctl -> + (match t,ct with + (_,C.Decl t1), (_,C.Decl t2) + | (_,C.Def (t1,_)), (_,C.Def (t2,_)) + | (_,C.Def (_,t1)), (_,C.Decl t2) -> + if not (R.are_convertible ~subst ~metasenv tl t1 t2) then + raise + (TypeCheckerFailure + (lazy (Printf.sprintf + ("Not well typed metavariable local context for %s: " ^^ + "%s expected, which is not convertible with %s") + (NCicPp.ppterm term) (NCicPp.ppterm t2) (NCicPp.ppterm t1) + ))) + | _,_ -> + raise + (TypeCheckerFailure + (lazy (Printf.sprintf + ("Not well typed metavariable local context for %s: " ^^ + "a definition expected, but a declaration found") + (NCicPp.ppterm term))))); + compare (m - 1,tl,ctl) + in + compare (n,context,canonical_context) + | shift, lc_kind -> + (* we avoid useless lifting by shortening the context*) + let l,context = (0,lc_kind), snd (HExtlib.split_nth shift context) in + let lifted_canonical_context = + let rec lift_metas i = function + | [] -> [] + | (n,C.Decl t)::tl -> + (n,C.Decl (S.subst_meta l (S.lift i t)))::(lift_metas (i+1) tl) + | (n,C.Def (t,ty))::tl -> + (n,C.Def ((S.subst_meta l (S.lift i t)), + S.subst_meta l (S.lift i ty)))::(lift_metas (i+1) tl) + in + lift_metas 1 canonical_context in + let l = NCicUtils.expand_local_context lc_kind in + try + List.iter2 + (fun t ct -> + match (t,ct) with + | t, (_,C.Def (ct,_)) -> + (*CSC: the following optimization is to avoid a possibly expensive + reduction that can be easily avoided and that is quite + frequent. However, this is better handled using levels to + control reduction *) + let optimized_t = + match t with + | C.Rel n -> + (try + match List.nth context (n - 1) with + | (_,C.Def (te,_)) -> S.lift n te + | _ -> t + with Failure _ -> t) + | _ -> t + in + if not (R.are_convertible ~subst ~metasenv context optimized_t ct) + then + raise + (TypeCheckerFailure + (lazy (Printf.sprintf + ("Not well typed metavariable local context: " ^^ + "expected a term convertible with %s, found %s") + (NCicPp.ppterm ct) (NCicPp.ppterm t)))) + | t, (_,C.Decl ct) -> + let type_t = typeof_aux context t in + if not (R.are_convertible ~subst ~metasenv context type_t ct) then + raise (TypeCheckerFailure + (lazy (Printf.sprintf + ("Not well typed metavariable local context: "^^ + "expected a term of type %s, found %s of type %s") + (NCicPp.ppterm ct) (NCicPp.ppterm t) (NCicPp.ppterm type_t)))) + ) l lifted_canonical_context + with + Invalid_argument _ -> + raise (AssertFailure (lazy (Printf.sprintf + "Local and canonical context %s have different lengths" + (NCicPp.ppterm term)))) + + and is_non_informative context paramsno c = + let rec aux context c = + match R.whd context c with + | C.Prod (n,so,de) -> + let s = typeof_aux context so in + s = C.Sort C.Prop && aux ((n,(C.Decl so))::context) de + | _ -> true in + let context',dx = split_prods ~subst:[] context paramsno c in + aux context' dx + + and check_allowed_sort_elimination ~subst ~metasenv r = + let mkapp he arg = + match he with + | C.Appl l -> C.Appl (l @ [arg]) + | t -> C.Appl [t;arg] in + let rec aux context ind arity1 arity2 = + let arity1 = R.whd ~subst context arity1 in + let arity2 = R.whd ~subst context arity2 in + match arity1,arity2 with + | C.Prod (name,so1,de1), C.Prod (_,so2,de2) -> + R.are_convertible ~subst ~metasenv context so1 so2 && + aux ((name, C.Decl so1)::context) + (mkapp (S.lift 1 ind) (C.Rel 1)) de1 de2 + | C.Sort _, C.Prod (name,so,ta) -> + (R.are_convertible ~subst ~metasenv context so ind && + match arity1,ta with + | (C.Sort (C.CProp | C.Type _), C.Sort _) + | (C.Sort C.Prop, C.Sort C.Prop) -> true + | (C.Sort C.Prop, C.Sort (C.CProp | C.Type _)) -> + let inductive,leftno,itl,_,i = E.get_checked_indtys r in + let itl_len = List.length itl in + let _,name,ty,cl = List.nth itl i in + let cl_len = List.length cl in + (* is it a singleton or empty non recursive and non informative + definition? *) + cl_len = 0 || + (itl_len = 1 && cl_len = 1 && + is_non_informative [name,C.Decl ty] leftno + (let _,_,x = List.nth cl 0 in x)) + | _,_ -> false) + | _,_ -> false + in + aux + + in + typeof_aux context term + +and type_of_constant ref = assert false (* USARE typecheck_obj0 *) +(* ALIAS typecheck *) +(* + let cobj,ugraph1 = + match CicEnvironment.is_type_checked ~trust:true ugraph uri with + CicEnvironment.CheckedObj (cobj,ugraph') -> cobj,ugraph' + | CicEnvironment.UncheckedObj uobj -> + logger#log (`Start_type_checking uri) ; + let ugraph1_dust = + typecheck_obj0 ~logger uri CicUniv.empty_ugraph uobj in + try + CicEnvironment.set_type_checking_info uri ; + logger#log (`Type_checking_completed uri) ; + (match CicEnvironment.is_type_checked ~trust:false ugraph uri with + CicEnvironment.CheckedObj (cobj,ugraph') -> (cobj,ugraph') + | CicEnvironment.UncheckedObj _ -> raise CicEnvironmentError + ) + with + (* + this is raised if set_type_checking_info is called on an object + that has no associated universe file. If we are in univ_maker + phase this is OK since univ_maker will properly commit the + object. + *) + Invalid_argument s -> + (*debug_print (lazy s);*) + uobj,ugraph1_dust + in +CASO COSTRUTTORE + match cobj with + C.InductiveDefinition (dl,_,_,_) -> + let (_,_,arity,_) = List.nth dl i in + arity,ugraph1 + | _ -> + raise (TypeCheckerFailure + (lazy ("Unknown mutual inductive definition:" ^ U.string_of_uri uri))) +CASO TIPO INDUTTIVO + match cobj with + C.InductiveDefinition (dl,_,_,_) -> + let (_,_,_,cl) = List.nth dl i in + let (_,ty) = List.nth cl (j-1) in + ty,ugraph1 + | _ -> + raise (TypeCheckerFailure + (lazy ("Unknown mutual inductive definition:" ^ UriManager.string_of_uri uri))) +*) + +and typecheck_obj0 = function + obj -> assert false +(* + | C.Constant (_,Some te,ty,_,_) -> let _,ugraph = type_of ~logger ty ugraph in let ty_te,ugraph = type_of ~logger te ugraph in let b,ugraph = (CicReduction.are_convertible [] ty_te ty ugraph) in @@ -2185,92 +1650,103 @@ let typecheck_obj0 ~logger uri ugraph = (CicPp.ppterm type_of_te) (CicPp.ppterm ty)))) else ugraph - | C.Variable (_,bo,ty,_,_) -> - (* only to check that ty is well-typed *) - let _,ugraph = type_of ~logger ty ugraph in - (match bo with - None -> ugraph - | Some bo -> - let ty_bo,ugraph = type_of ~logger bo ugraph in - let b,ugraph = CicReduction.are_convertible [] ty_bo ty ugraph in - if not b then - raise (TypeCheckerFailure - (lazy "the body is not the one expected")) - else - ugraph - ) | (C.InductiveDefinition _ as obj) -> check_mutual_inductive_defs ~logger uri obj ugraph + | C.Fix (i,fl) -> + let types,kl,ugraph1,len = + List.fold_left + (fun (types,kl,ugraph,len) (n,k,ty,_) -> + let _,ugraph1 = type_of_aux ~logger context ty ugraph in + (Some (C.Name n,(C.Decl (CicSubstitution.lift len ty)))::types, + k::kl,ugraph1,len+1) + ) ([],[],ugraph,0) fl + in + let ugraph2 = + List.fold_left + (fun ugraph (name,x,ty,bo) -> + let ty_bo,ugraph1 = + type_of_aux ~logger (types@context) bo ugraph + in + let b,ugraph2 = + R.are_convertible ~subst ~metasenv (types@context) + ty_bo (CicSubstitution.lift len ty) ugraph1 in + if b then + begin + let (m, eaten, context') = + eat_lambdas ~subst (types @ context) (x + 1) bo + in + (* + let's control the guarded by + destructors conditions D{f,k,x,M} + *) + if not (guarded_by_destructors ~subst context' eaten + (len + eaten) kl 1 [] m) then + raise + (TypeCheckerFailure + (lazy ("Fix: not guarded by destructors"))) + else + ugraph2 + end + else + raise (TypeCheckerFailure (lazy ("Fix: ill-typed bodies"))) + ) ugraph1 fl in + (*CSC: controlli mancanti solo su D{f,k,x,M} *) + let (_,_,ty,_) = List.nth fl i in + ty,ugraph2 + | C.CoFix (i,fl) -> + let types,ugraph1,len = + List.fold_left + (fun (l,ugraph,len) (n,ty,_) -> + let _,ugraph1 = + type_of_aux ~logger context ty ugraph in + (Some (C.Name n,(C.Decl (CicSubstitution.lift len ty)))::l, + ugraph1,len+1) + ) ([],ugraph,0) fl + in + let ugraph2 = + List.fold_left + (fun ugraph (_,ty,bo) -> + let ty_bo,ugraph1 = + type_of_aux ~logger (types @ context) bo ugraph + in + let b,ugraph2 = + R.are_convertible ~subst ~metasenv (types @ context) ty_bo + (CicSubstitution.lift len ty) ugraph1 + in + if b then + begin + (* let's control that the returned type is coinductive *) + match returns_a_coinductive ~subst context ty with + None -> + raise + (TypeCheckerFailure + (lazy "CoFix: does not return a coinductive type")) + | Some uri -> + (* + let's control the guarded by constructors + conditions C{f,M} + *) + if not (guarded_by_constructors ~subst + (types @ context) 0 len false bo [] uri) then + raise + (TypeCheckerFailure + (lazy "CoFix: not guarded by constructors")) + else + ugraph2 + end + else + raise + (TypeCheckerFailure (lazy "CoFix: ill-typed bodies")) + ) ugraph1 fl + in + let (_,ty,_) = List.nth fl i in + ty,ugraph2 -let typecheck uri = - let module C = Cic in - let module R = CicReduction in - let module U = UriManager in - let logger = new CicLogger.logger in - (* ??? match CicEnvironment.is_type_checked ~trust:true uri with ???? *) - match CicEnvironment.is_type_checked ~trust:false CicUniv.empty_ugraph uri with - CicEnvironment.CheckedObj (cobj,ugraph') -> - (* debug_print (lazy ("NON-INIZIO A TYPECHECKARE " ^ U.string_of_uri uri));*) - cobj,ugraph' - | CicEnvironment.UncheckedObj uobj -> - (* let's typecheck the uncooked object *) - logger#log (`Start_type_checking uri) ; - (* debug_print (lazy ("INIZIO A TYPECHECKARE " ^ U.string_of_uri uri)); *) - let ugraph = typecheck_obj0 ~logger uri CicUniv.empty_ugraph uobj in - try - CicEnvironment.set_type_checking_info uri; - logger#log (`Type_checking_completed uri); - match CicEnvironment.is_type_checked ~trust:false ugraph uri with - CicEnvironment.CheckedObj (cobj,ugraph') -> cobj,ugraph' - | _ -> raise CicEnvironmentError - with - (* - this is raised if set_type_checking_info is called on an object - that has no associated universe file. If we are in univ_maker - phase this is OK since univ_maker will properly commit the - object. - *) - Invalid_argument s -> - (*debug_print (lazy s);*) - uobj,ugraph -;; +*) -let typecheck_obj ~logger uri obj = +let typecheck_obj (*uri*) obj = assert false (* let ugraph = typecheck_obj0 ~logger uri CicUniv.empty_ugraph obj in let ugraph, univlist, obj = CicUnivUtils.clean_and_fill uri obj ugraph in CicEnvironment.add_type_checked_obj uri (obj,ugraph,univlist) - -(** wrappers which instantiate fresh loggers *) - -let profiler = HExtlib.profile "K/CicTypeChecker.type_of_aux'" - -let type_of_aux' ?(subst = []) metasenv context t ugraph = - let logger = new CicLogger.logger in - profiler.HExtlib.profile - (type_of_aux' ~logger ~subst metasenv context t) ugraph - -let typecheck_obj uri obj = - let logger = new CicLogger.logger in - typecheck_obj ~logger uri obj - -(* check_allowed_sort_elimination uri i s1 s2 - This function is used outside the kernel to determine in advance whether - a MutCase will be allowed or not. - [uri,i] is the type of the term to match - [s1] is the sort of the term to eliminate (i.e. the head of the arity - of the inductive type [uri,i]) - [s2] is the sort of the goal (i.e. the head of the type of the outtype - of the MutCase) *) -let check_allowed_sort_elimination uri i s1 s2 = - fst (check_allowed_sort_elimination ~subst:[] ~metasenv:[] - ~logger:(new CicLogger.logger) [] uri i true - (Cic.Implicit None) (* never used *) (Cic.Sort s1) (Cic.Sort s2) - CicUniv.empty_ugraph) -;; - -Deannotate.type_of_aux' := fun context t -> fst (type_of_aux' [] context t CicUniv.oblivion_ugraph);; - *) - -(* typechecks the object, raising an exception if illtyped *) -let typecheck_obj obj = match obj with _ -> () +;;