X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=helm%2Focaml%2Fcic_unification%2FcicRefine.ml;fp=helm%2Focaml%2Fcic_unification%2FcicRefine.ml;h=f03752d10b10ec1cdec64077546206dbcead7af8;hb=792b5d29ebae8f917043d9dd226692919b5d6ca1;hp=0000000000000000000000000000000000000000;hpb=a14a8c7637fd0b95e9d4deccb20c6abc98e8f953;p=helm.git diff --git a/helm/ocaml/cic_unification/cicRefine.ml b/helm/ocaml/cic_unification/cicRefine.ml new file mode 100644 index 000000000..f03752d10 --- /dev/null +++ b/helm/ocaml/cic_unification/cicRefine.ml @@ -0,0 +1,1379 @@ +(* Copyright (C) 2000, HELM Team. + * + * This file is part of HELM, an Hypertextual, Electronic + * Library of Mathematics, developed at the Computer Science + * Department, University of Bologna, Italy. + * + * HELM is free software; you can redistribute it and/or + * modify it under the terms of the GNU General Public License + * as published by the Free Software Foundation; either version 2 + * of the License, or (at your option) any later version. + * + * HELM is distributed in the hope that it will be useful, + * but WITHOUT ANY WARRANTY; without even the implied warranty of + * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the + * GNU General Public License for more details. + * + * You should have received a copy of the GNU General Public License + * along with HELM; if not, write to the Free Software + * Foundation, Inc., 59 Temple Place - Suite 330, Boston, + * MA 02111-1307, USA. + * + * For details, see the HELM World-Wide-Web page, + * http://cs.unibo.it/helm/. + *) + +(* $Id$ *) + +open Printf + +exception RefineFailure of string Lazy.t;; +exception Uncertain of string Lazy.t;; +exception AssertFailure of string Lazy.t;; + +let insert_coercions = ref true + +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.Uncertain msg) -> raise (Uncertain msg) +;; + +let enrich localization_tbl t ?(f = fun msg -> msg) exn = + let exn' = + match exn with + RefineFailure msg -> RefineFailure (f msg) + | Uncertain msg -> Uncertain (f msg) + | _ -> assert false in + let loc = + try + Cic.CicHash.find localization_tbl t + with Not_found -> + prerr_endline ("!!! NOT LOCALIZED: " ^ CicPp.ppterm t); + assert false + in + raise (HExtlib.Localized (loc,exn')) + +let relocalize localization_tbl oldt newt = + try + let infos = Cic.CicHash.find localization_tbl oldt in + Cic.CicHash.remove localization_tbl oldt; + Cic.CicHash.add localization_tbl newt infos; + with + Not_found -> () +;; + +let rec split l n = + match (l,n) with + (l,0) -> ([], l) + | (he::tl, n) -> let (l1,l2) = split tl (n-1) in (he::l1,l2) + | (_,_) -> raise (AssertFailure (lazy "split: list too short")) +;; + +let exp_impl metasenv subst context = + function + | Some `Type -> + let (metasenv', idx) = CicMkImplicit.mk_implicit_type metasenv subst context in + let irl = CicMkImplicit.identity_relocation_list_for_metavariable context in + metasenv', Cic.Meta (idx, irl) + | Some `Closed -> + let (metasenv', idx) = CicMkImplicit.mk_implicit metasenv subst [] in + metasenv', Cic.Meta (idx, []) + | None -> + let (metasenv', idx) = CicMkImplicit.mk_implicit metasenv subst context in + let irl = CicMkImplicit.identity_relocation_list_for_metavariable context in + metasenv', Cic.Meta (idx, irl) + | _ -> assert false +;; + + +let rec type_of_constant uri ugraph = + 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 (lazy ("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 _ = 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 + (lazy ("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 _ = 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 + (lazy ("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 _ = 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 + let (_,ty) = List.nth cl (j-1) in + ty,u + | _ -> + raise + (RefineFailure + (lazy + ("Unkown mutual inductive definition " ^ U.string_of_uri uri))) + + +(* type_of_aux' is just another name (with a different scope) for type_of_aux *) + +(* the check_branch function checks if a branch of a case is refinable. + It returns a pair (outype_instance,args), a subst and a metasenv. + outype_instance is the expected result of applying the case outtype + to args. + The problem is that outype is in general unknown, and we should + try to synthesize it from the above information, that is in general + a second order unification problem. *) + +and check_branch n context metasenv subst left_args_no actualtype term expectedtype ugraph = + let module C = Cic in + (* let module R = CicMetaSubst in *) + let module R = CicReduction in + match R.whd ~subst context expectedtype with + C.MutInd (_,_,_) -> + (n,context,actualtype, [term]), subst, metasenv, ugraph + | C.Appl (C.MutInd (_,_,_)::tl) -> + let (_,arguments) = split tl left_args_no in + (n,context,actualtype, arguments@[term]), subst, metasenv, ugraph + | C.Prod (name,so,de) -> + (* we expect that the actual type of the branch has the due + number of Prod *) + (match R.whd ~subst context actualtype with + C.Prod (name',so',de') -> + let subst, metasenv, ugraph1 = + fo_unif_subst subst context metasenv so so' ugraph in + let term' = + (match CicSubstitution.lift 1 term with + C.Appl l -> C.Appl (l@[C.Rel 1]) + | 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 + | _ -> raise (AssertFailure (lazy "Wrong number of arguments"))) + | _ -> raise (AssertFailure (lazy "Prod or MutInd expected")) + +and type_of_aux' ?(localization_tbl = Cic.CicHash.create 1) metasenv context t + ugraph += + let rec type_of_aux subst metasenv context t ugraph = + let module C = Cic in + let module S = CicSubstitution in + let module U = UriManager in + let (t',_,_,_,_) as res = + match t with + (* function *) + C.Rel n -> + (try + match List.nth context (n - 1) with + Some (_,C.Decl ty) -> + t,S.lift n ty,subst,metasenv, ugraph + | Some (_,C.Def (_,Some ty)) -> + t,S.lift n ty,subst,metasenv, ugraph + | Some (_,C.Def (bo,None)) -> + 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 -> + enrich localization_tbl t + (RefineFailure (lazy "Rel to hidden hypothesis")) + with + _ -> + enrich localization_tbl t + (RefineFailure (lazy "Not a close term"))) + | C.Var (uri,exp_named_subst) -> + let exp_named_subst',subst',metasenv',ugraph1 = + check_exp_named_subst + subst metasenv context exp_named_subst ugraph + in + let ty_uri,ugraph1 = type_of_variable uri ugraph in + let ty = + CicSubstitution.subst_vars exp_named_subst' ty_uri + in + C.Var (uri,exp_named_subst'),ty,subst',metasenv',ugraph1 + | C.Meta (n,l) -> + (try + let (canonical_context, term,ty) = + CicUtil.lookup_subst n subst + in + let l',subst',metasenv',ugraph1 = + check_metasenv_consistency n subst metasenv context + canonical_context l ugraph + in + (* trust or check ??? *) + C.Meta (n,l'),CicSubstitution.subst_meta l' ty, + subst', metasenv', ugraph1 + (* type_of_aux subst metasenv + 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.subst_meta l' ty, + subst', metasenv',ugraph1) + | C.Sort (C.Type tno) -> + let tno' = CicUniv.fresh() in + let ugraph1 = CicUniv.add_gt tno' tno ugraph in + t,(C.Sort (C.Type tno')),subst,metasenv,ugraph1 + | C.Sort _ -> + t,C.Sort (C.Type (CicUniv.fresh())),subst,metasenv,ugraph + | C.Implicit infos -> + let metasenv',t' = exp_impl metasenv subst context infos in + type_of_aux subst metasenv' context t' ugraph + | C.Cast (te,ty) -> + let ty',_,subst',metasenv',ugraph1 = + type_of_aux subst metasenv context ty ugraph + in + let te',inferredty,subst'',metasenv'',ugraph2 = + type_of_aux subst' metasenv' context te ugraph1 + in + (try + let subst''',metasenv''',ugraph3 = + fo_unif_subst subst'' context metasenv'' + inferredty ty' ugraph2 + in + C.Cast (te',ty'),ty',subst''',metasenv''',ugraph3 + with + exn -> + enrich localization_tbl te' + ~f:(fun _ -> + lazy ("The term " ^ + CicMetaSubst.ppterm_in_context subst'' te' + context ^ " has type " ^ + CicMetaSubst.ppterm_in_context subst'' inferredty + context ^ " but is here used with type " ^ + CicMetaSubst.ppterm_in_context subst'' ty' context)) exn + ) + | C.Prod (name,s,t) -> + let carr t subst context = CicMetaSubst.apply_subst subst t in + let coerce_to_sort in_source tgt_sort t type_to_coerce + subst context metasenv uragph + = + if not !insert_coercions then + t,type_to_coerce,subst,metasenv,ugraph + else + let coercion_src = carr type_to_coerce subst context in + match coercion_src with + | Cic.Sort _ -> + t,type_to_coerce,subst,metasenv,ugraph + | Cic.Meta _ as meta -> + t, meta, subst, metasenv, ugraph + | Cic.Cast _ as cast -> + t, cast, subst, metasenv, ugraph + | term -> + let coercion_tgt = carr (Cic.Sort tgt_sort) subst context in + let search = CoercGraph.look_for_coercion in + let boh = search coercion_src coercion_tgt in + (match boh with + | CoercGraph.NoCoercion + | CoercGraph.NotHandled _ -> + enrich localization_tbl t + (RefineFailure + (lazy ("The term " ^ + CicMetaSubst.ppterm_in_context subst t context ^ + " is not a type since it has type " ^ + CicMetaSubst.ppterm_in_context + subst coercion_src context ^ " that is not a sort"))) + | CoercGraph.NotMetaClosed -> + enrich localization_tbl t + (Uncertain + (lazy ("The term " ^ + CicMetaSubst.ppterm_in_context subst t context ^ + " is not a type since it has type " ^ + CicMetaSubst.ppterm_in_context + subst coercion_src context ^ " that is not a sort"))) + | CoercGraph.SomeCoercion c -> + let newt, tty, subst, metasenv, ugraph = + avoid_double_coercion + subst metasenv ugraph + (Cic.Appl[c;t]) coercion_tgt + in + newt, tty, subst, metasenv, ugraph) + in + let s',sort1,subst',metasenv',ugraph1 = + type_of_aux subst metasenv context s ugraph + in + let s',sort1,subst', metasenv',ugraph1 = + coerce_to_sort true (Cic.Type(CicUniv.fresh())) + s' sort1 subst' context metasenv' ugraph1 + in + let context_for_t = ((Some (name,(C.Decl s')))::context) in + let t',sort2,subst'',metasenv'',ugraph2 = + type_of_aux subst' metasenv' + context_for_t t ugraph1 + in + let t',sort2,subst'',metasenv'',ugraph2 = + coerce_to_sort false (Cic.Type(CicUniv.fresh())) + t' sort2 subst'' context_for_t metasenv'' ugraph2 + in + let sop,subst''',metasenv''',ugraph3 = + sort_of_prod subst'' metasenv'' + context (name,s') (sort1,sort2) ugraph2 + in + C.Prod (name,s',t'),sop,subst''',metasenv''',ugraph3 + | C.Lambda (n,s,t) -> + + let s',sort1,subst',metasenv',ugraph1 = + type_of_aux subst metasenv context s ugraph in + let s',sort1,subst',metasenv',ugraph1 = + if not !insert_coercions then + s',sort1, subst', metasenv', ugraph1 + else + match CicReduction.whd ~subst:subst' context sort1 with + | C.Meta _ | C.Sort _ -> s',sort1, subst', metasenv', ugraph1 + | coercion_src -> + let coercion_tgt = Cic.Sort (Cic.Type (CicUniv.fresh())) in + let search = CoercGraph.look_for_coercion in + let boh = search coercion_src coercion_tgt in + match boh with + | CoercGraph.SomeCoercion c -> + let newt, tty, subst', metasenv', ugraph1 = + avoid_double_coercion + subst' metasenv' ugraph1 + (Cic.Appl[c;s']) coercion_tgt + in + newt, tty, subst', metasenv', ugraph1 + | CoercGraph.NoCoercion + | CoercGraph.NotHandled _ -> + enrich localization_tbl s' + (RefineFailure + (lazy ("The term " ^ + CicMetaSubst.ppterm_in_context subst s' context ^ + " is not a type since it has type " ^ + CicMetaSubst.ppterm_in_context + subst coercion_src context ^ " that is not a sort"))) + | CoercGraph.NotMetaClosed -> + enrich localization_tbl s' + (Uncertain + (lazy ("The term " ^ + CicMetaSubst.ppterm_in_context subst s' context ^ + " is not a type since it has type " ^ + CicMetaSubst.ppterm_in_context + subst coercion_src context ^ " that is not a sort"))) + in + let context_for_t = ((Some (n,(C.Decl s')))::context) in + let t',type2,subst'',metasenv'',ugraph2 = + type_of_aux subst' metasenv' context_for_t t ugraph1 + in + C.Lambda (n,s',t'),C.Prod (n,s',type2), + subst'',metasenv'',ugraph2 + | C.LetIn (n,s,t) -> + (* only to check if s is well-typed *) + let s',ty,subst',metasenv',ugraph1 = + type_of_aux subst metasenv context s ugraph + in + let context_for_t = ((Some (n,(C.Def (s',Some ty))))::context) in + + let t',inferredty,subst'',metasenv'',ugraph2 = + type_of_aux subst' metasenv' + context_for_t t ugraph1 + in + (* One-step LetIn reduction. + * Even faster than the previous solution. + * Moreover the inferred type is closer to the expected one. + *) + C.LetIn (n,s',t'),CicSubstitution.subst s' inferredty, + subst'',metasenv'',ugraph2 + | C.Appl (he::((_::_) as tl)) -> + let he',hetype,subst',metasenv',ugraph1 = + type_of_aux subst metasenv context he ugraph + in + let tlbody_and_type,subst'',metasenv'',ugraph2 = + List.fold_right + (fun x (res,subst,metasenv,ugraph) -> + let x',ty,subst',metasenv',ugraph1 = + type_of_aux subst metasenv context x ugraph + in + (x', ty)::res,subst',metasenv',ugraph1 + ) tl ([],subst',metasenv',ugraph1) + in + let tl',applty,subst''',metasenv''',ugraph3 = + eat_prods true subst'' metasenv'' context + hetype tlbody_and_type ugraph2 + in + avoid_double_coercion + subst''' metasenv''' ugraph3 (C.Appl (he'::tl')) applty + | C.Appl _ -> assert false + | C.Const (uri,exp_named_subst) -> + let exp_named_subst',subst',metasenv',ugraph1 = + check_exp_named_subst subst metasenv context + exp_named_subst ugraph in + let ty_uri,ugraph2 = type_of_constant uri ugraph1 in + let cty = + CicSubstitution.subst_vars exp_named_subst' ty_uri + in + C.Const (uri,exp_named_subst'),cty,subst',metasenv',ugraph2 + | C.MutInd (uri,i,exp_named_subst) -> + let exp_named_subst',subst',metasenv',ugraph1 = + check_exp_named_subst subst metasenv context + exp_named_subst ugraph + in + let ty_uri,ugraph2 = type_of_mutual_inductive_defs uri i ugraph1 in + let cty = + CicSubstitution.subst_vars exp_named_subst' ty_uri in + C.MutInd (uri,i,exp_named_subst'),cty,subst',metasenv',ugraph2 + | C.MutConstruct (uri,i,j,exp_named_subst) -> + let exp_named_subst',subst',metasenv',ugraph1 = + check_exp_named_subst subst metasenv context + exp_named_subst ugraph + in + let ty_uri,ugraph2 = + type_of_mutual_inductive_constr uri i j ugraph1 + in + let cty = + CicSubstitution.subst_vars exp_named_subst' ty_uri + in + C.MutConstruct (uri,i,j,exp_named_subst'),cty,subst', + metasenv',ugraph2 + | C.MutCase (uri, i, outtype, term, pl) -> + (* first, get the inductive type (and noparams) + * in the environment *) + let (_,b,arity,constructors), expl_params, no_left_params,ugraph = + 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 + | _ -> + enrich localization_tbl t + (RefineFailure + (lazy ("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 = + try + fo_unif_subst subst context metasenv + expected_type' actual_type ugraph2 + with + exn -> + enrich localization_tbl term' exn + ~f:(function _ -> + lazy ("The term " ^ + CicMetaSubst.ppterm_in_context subst term' + context ^ " has type " ^ + CicMetaSubst.ppterm_in_context subst actual_type + context ^ " but is here used with type " ^ + CicMetaSubst.ppterm_in_context subst expected_type' context)) + 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 + *) + + let outtype,outtypety, subst, metasenv,ugraph4 = + type_of_aux subst metasenv context outtype ugraph4 in + (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 + 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 (lazy "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 tlbody_and_type,subst,metasenv,ugraph4 = + List.fold_right + (fun x (res,subst,metasenv,ugraph) -> + let x',ty,subst',metasenv',ugraph1 = + type_of_aux subst metasenv context x ugraph + in + (x', ty)::res,subst',metasenv',ugraph1 + ) (right_args @ [term']) ([],subst,metasenv,ugraph4) + in + let _,_,subst,metasenv,ugraph4 = + eat_prods false subst metasenv context + outtypety tlbody_and_type ugraph4 + in + 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 + (fun (fl,subst,metasenv,types,ugraph) (n,_,ty,_) -> + let ty',_,subst',metasenv',ugraph1 = + type_of_aux subst metasenv context ty ugraph + in + fl @ [ty'],subst',metasenv', + Some (C.Name n,(C.Decl ty')) :: types, ugraph + ) ([],subst,metasenv,[],ugraph) fl + in + let len = List.length types in + let context' = types@context in + let fl_bo',subst,metasenv,ugraph2 = + List.fold_left + (fun (fl,subst,metasenv,ugraph) ((name,x,_,bo),ty) -> + let bo',ty_of_bo,subst,metasenv,ugraph1 = + type_of_aux subst metasenv context' bo ugraph + in + let subst',metasenv',ugraph' = + fo_unif_subst subst context' metasenv + ty_of_bo (CicSubstitution.lift len ty) ugraph1 + in + fl @ [bo'] , subst',metasenv',ugraph' + ) ([],subst,metasenv,ugraph1) (List.combine fl fl_ty') + in + let ty = List.nth fl_ty' i in + (* now we have the new ty in fl_ty', the new bo in fl_bo', + * and we want the new fl with bo' and ty' injected in the right + * place. + *) + let rec map3 f l1 l2 l3 = + match l1,l2,l3 with + | [],[],[] -> [] + | h1::tl1,h2::tl2,h3::tl3 -> (f h1 h2 h3) :: (map3 f tl1 tl2 tl3) + | _ -> assert false + in + let fl'' = map3 (fun ty' bo' (name,x,ty,bo) -> (name,x,ty',bo') ) + fl_ty' fl_bo' fl + in + C.Fix (i,fl''),ty,subst,metasenv,ugraph2 + | C.CoFix (i,fl) -> + let fl_ty',subst,metasenv,types,ugraph1 = + List.fold_left + (fun (fl,subst,metasenv,types,ugraph) (n,ty,_) -> + let ty',_,subst',metasenv',ugraph1 = + type_of_aux subst metasenv context ty ugraph + in + fl @ [ty'],subst',metasenv', + Some (C.Name n,(C.Decl ty')) :: types, ugraph1 + ) ([],subst,metasenv,[],ugraph) fl + in + let len = List.length types in + let context' = types@context in + let fl_bo',subst,metasenv,ugraph2 = + List.fold_left + (fun (fl,subst,metasenv,ugraph) ((name,_,bo),ty) -> + let bo',ty_of_bo,subst,metasenv,ugraph1 = + type_of_aux subst metasenv context' bo ugraph + in + let subst',metasenv',ugraph' = + fo_unif_subst subst context' metasenv + ty_of_bo (CicSubstitution.lift len ty) ugraph1 + in + fl @ [bo'],subst',metasenv',ugraph' + ) ([],subst,metasenv,ugraph1) (List.combine fl fl_ty') + in + let ty = List.nth fl_ty' i in + (* now we have the new ty in fl_ty', the new bo in fl_bo', + * and we want the new fl with bo' and ty' injected in the right + * place. + *) + let rec map3 f l1 l2 l3 = + match l1,l2,l3 with + | [],[],[] -> [] + | h1::tl1,h2::tl2,h3::tl3 -> (f h1 h2 h3) :: (map3 f tl1 tl2 tl3) + | _ -> assert false + in + let fl'' = map3 (fun ty' bo' (name,ty,bo) -> (name,ty',bo') ) + fl_ty' fl_bo' fl + in + C.CoFix (i,fl''),ty,subst,metasenv,ugraph2 + in + relocalize localization_tbl t t'; + res + + and avoid_double_coercion subst metasenv ugraph t ty = + match t with + | (Cic.Appl [ c1 ; (Cic.Appl [c2; head]) ]) as t when + CoercGraph.is_a_coercion c1 && CoercGraph.is_a_coercion c2 -> + let source_carr = CoercGraph.source_of c2 in + let tgt_carr = CicMetaSubst.apply_subst subst ty in + (match CoercGraph.look_for_coercion source_carr tgt_carr + with + | CoercGraph.SomeCoercion c -> + Cic.Appl [ c ; head ], ty, subst,metasenv,ugraph + | _ -> assert false) (* the composite coercion must exist *) + | _ -> t, ty, subst, metasenv, ugraph + + (* 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 + metano 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) + | (Some (n,C.Def (t,None)))::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.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 + try + List.fold_left2 + (fun (l,subst,metasenv,ugraph) t ct -> + match (t,ct) with + _,None -> + l @ [None],subst,metasenv,ugraph + | Some t,Some (_,C.Def (ct,_)) -> + let subst',metasenv',ugraph' = + (try + fo_unif_subst subst context metasenv t ct ugraph + with e -> raise (RefineFailure (lazy (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 -> Lazy.force msg | _ -> (Printexc.to_string e)))))) + in + l @ [Some t],subst',metasenv',ugraph' + | Some t,Some (_,C.Decl ct) -> + let t',inferredty,subst',metasenv',ugraph1 = + type_of_aux subst metasenv context t ugraph + in + let subst'',metasenv'',ugraph2 = + (try + fo_unif_subst + subst' context metasenv' inferredty ct ugraph1 + with e -> raise (RefineFailure (lazy (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 -> Lazy.force msg | RefineFailure msg -> Lazy.force msg | _ -> (Printexc.to_string e)))))) + in + l @ [Some t'], subst'',metasenv'',ugraph2 + | None, Some _ -> + raise (RefineFailure (lazy (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))))) ([],subst,metasenv,ugraph) l lifted_canonical_context + with + Invalid_argument _ -> + raise + (RefineFailure + (lazy (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)))) + + and check_exp_named_subst metasubst metasenv context tl ugraph = + let rec check_exp_named_subst_aux metasubst metasenv substs tl ugraph = + match tl with + [] -> [],metasubst,metasenv,ugraph + | (uri,t)::tl -> + let ty_uri,ugraph1 = type_of_variable uri ugraph in + let typeofvar = + CicSubstitution.subst_vars substs ty_uri in + (* CSC: why was this code here? it is wrong + (match CicEnvironment.get_cooked_obj ~trust:false uri with + Cic.Variable (_,Some bo,_,_) -> + raise + (RefineFailure (lazy + "A variable with a body can not be explicit substituted")) + | Cic.Variable (_,None,_,_) -> () + | _ -> + raise + (RefineFailure (lazy + ("Unkown variable definition " ^ UriManager.string_of_uri uri))) + ) ; + *) + let t',typeoft,metasubst',metasenv',ugraph2 = + type_of_aux metasubst metasenv context t ugraph1 in + let subst = uri,t' in + let metasubst'',metasenv'',ugraph3 = + try + fo_unif_subst + metasubst' context metasenv' typeoft typeofvar ugraph2 + with _ -> + raise (RefineFailure (lazy + ("Wrong Explicit Named Substitution: " ^ + CicMetaSubst.ppterm metasubst' typeoft ^ + " not unifiable with " ^ + CicMetaSubst.ppterm metasubst' typeofvar))) + in + (* FIXME: no mere tail recursive! *) + let exp_name_subst, metasubst''', metasenv''', ugraph4 = + check_exp_named_subst_aux + metasubst'' metasenv'' (substs@[subst]) tl ugraph3 + in + ((uri,t')::exp_name_subst), metasubst''', metasenv''', ugraph4 + in + check_exp_named_subst_aux metasubst metasenv [] tl ugraph + + + and sort_of_prod subst metasenv context (name,s) (t1, t2) ugraph = + let module C = Cic in + let context_for_t2 = (Some (name,C.Decl s))::context in + let t1'' = CicReduction.whd ~subst context t1 in + let t2'' = CicReduction.whd ~subst context_for_t2 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 than Coq manual!!! *) + C.Sort s2,subst,metasenv,ugraph + | (C.Sort (C.Type t1), C.Sort (C.Type t2)) -> + let t' = CicUniv.fresh() in + let ugraph1 = CicUniv.add_ge t' t1 ugraph in + let ugraph2 = CicUniv.add_ge t' t2 ugraph1 in + C.Sort (C.Type t'),subst,metasenv,ugraph2 + | (C.Sort _,C.Sort (C.Type t1)) -> + C.Sort (C.Type t1),subst,metasenv,ugraph + | (C.Meta _, C.Sort _) -> t2'',subst,metasenv,ugraph + | (C.Sort _,C.Meta _) | (C.Meta _,C.Meta _) -> + (* TODO how can we force the meta to become a sort? If we don't we + * brake the invariant that refine produce only well typed terms *) + (* TODO if we check the non meta term and if it is a sort then we + * are likely to know the exact value of the result e.g. if the rhs + * is a Sort (Prop | Set | CProp) then the result is the rhs *) + let (metasenv,idx) = + CicMkImplicit.mk_implicit_sort metasenv subst in + let (subst, metasenv,ugraph1) = + fo_unif_subst subst context_for_t2 metasenv + (C.Meta (idx,[])) t2'' ugraph + in + t2'',subst,metasenv,ugraph1 + | _,_ -> + raise + (RefineFailure + (lazy + (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'')))) + + and eat_prods + allow_coercions subst metasenv context hetype tlbody_and_type ugraph + = + let rec mk_prod metasenv context = + function + [] -> + let (metasenv, idx) = + CicMkImplicit.mk_implicit_type metasenv subst context + in + let irl = + CicMkImplicit.identity_relocation_list_for_metavariable context + in + metasenv,Cic.Meta (idx, irl) + | (_,argty)::tl -> + let (metasenv, idx) = + CicMkImplicit.mk_implicit_type metasenv subst context + in + let irl = + CicMkImplicit.identity_relocation_list_for_metavariable context + in + let meta = Cic.Meta (idx,irl) in + let name = + (* The name must be fresh for context. *) + (* Nevertheless, argty is well-typed only in context. *) + (* Thus I generate a name (name_hint) in context and *) + (* then I generate a name --- using the hint name_hint *) + (* --- that is fresh in (context'@context). *) + let name_hint = + (* Cic.Name "pippo" *) + FreshNamesGenerator.mk_fresh_name ~subst metasenv + (* (CicMetaSubst.apply_subst_metasenv subst metasenv) *) + (CicMetaSubst.apply_subst_context subst context) + Cic.Anonymous + ~typ:(CicMetaSubst.apply_subst subst argty) + in + (* [] and (Cic.Sort Cic.prop) are dummy: they will not be used *) + FreshNamesGenerator.mk_fresh_name ~subst + [] context name_hint ~typ:(Cic.Sort Cic.Prop) + in + let metasenv,target = + mk_prod metasenv ((Some (name, Cic.Decl meta))::context) tl + in + metasenv,Cic.Prod (name,meta,target) + in + let metasenv,hetype' = mk_prod metasenv context tlbody_and_type in + let (subst, metasenv,ugraph1) = + try + fo_unif_subst subst context metasenv hetype hetype' ugraph + with exn -> + 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))); + raise exn + + in + let rec eat_prods metasenv subst context hetype ugraph = + function + | [] -> [],metasenv,subst,hetype,ugraph + | (hete, hety)::tl -> + (match hetype with + Cic.Prod (n,s,t) -> + let arg,subst,metasenv,ugraph1 = + try + let subst,metasenv,ugraph1 = + fo_unif_subst subst context metasenv hety s ugraph + in + hete,subst,metasenv,ugraph1 + with exn when allow_coercions && !insert_coercions -> + (* we search a coercion from hety to s *) + let coer, tgt_carr = + let carr t subst context = + CicMetaSubst.apply_subst subst t + in + let c_hety = carr hety subst context in + let c_s = carr s subst context in + CoercGraph.look_for_coercion c_hety c_s, c_s + in + (match coer with + | CoercGraph.NoCoercion + | CoercGraph.NotHandled _ -> + enrich localization_tbl hete + (RefineFailure + (lazy ("The term " ^ + CicMetaSubst.ppterm_in_context subst hete + context ^ " has type " ^ + CicMetaSubst.ppterm_in_context subst hety + context ^ " but is here used with type " ^ + CicMetaSubst.ppterm_in_context subst s context + (* "\nReason: " ^ Lazy.force e*)))) + | CoercGraph.NotMetaClosed -> + enrich localization_tbl hete + (Uncertain + (lazy ("The term " ^ + CicMetaSubst.ppterm_in_context subst hete + context ^ " has type " ^ + CicMetaSubst.ppterm_in_context subst hety + context ^ " but is here used with type " ^ + CicMetaSubst.ppterm_in_context subst s context + (* "\nReason: " ^ Lazy.force e*)))) + | CoercGraph.SomeCoercion c -> + let newt, _, subst, metasenv, ugraph = + avoid_double_coercion + subst metasenv ugraph + (Cic.Appl[c;hete]) tgt_carr + in + newt, subst, metasenv, ugraph) + | exn -> + enrich localization_tbl hete + ~f:(fun _ -> + (lazy ("The term " ^ + CicMetaSubst.ppterm_in_context subst hete + context ^ " has type " ^ + CicMetaSubst.ppterm_in_context subst hety + context ^ " but is here used with type " ^ + CicMetaSubst.ppterm_in_context subst s context + (* "\nReason: " ^ Lazy.force e*)))) exn + in + let coerced_args,metasenv',subst',t',ugraph2 = + eat_prods metasenv subst context + (CicSubstitution.subst arg t) ugraph1 tl + in + arg::coerced_args,metasenv',subst',t',ugraph2 + | _ -> assert false + ) + in + let coerced_args,metasenv,subst,t,ugraph2 = + eat_prods metasenv subst context hetype' ugraph1 tlbody_and_type + in + coerced_args,t,subst,metasenv,ugraph2 + in + + (* eat prods ends here! *) + + let t',ty,subst',metasenv',ugraph1 = + type_of_aux [] metasenv context t ugraph + in + let substituted_t = CicMetaSubst.apply_subst subst' t' in + let substituted_ty = CicMetaSubst.apply_subst subst' ty in + (* Andrea: ho rimesso qui l'applicazione della subst al + metasenv dopo che ho droppato l'invariante che il metsaenv + e' sempre istanziato *) + let substituted_metasenv = + CicMetaSubst.apply_subst_metasenv subst' metasenv' in + (* metasenv' *) + (* substituted_t,substituted_ty,substituted_metasenv *) + (* ANDREA: spostare tutta questa robaccia da un altra parte *) + let cleaned_t = + FreshNamesGenerator.clean_dummy_dependent_types substituted_t in + let cleaned_ty = + FreshNamesGenerator.clean_dummy_dependent_types substituted_ty in + let cleaned_metasenv = + List.map + (function (n,context,ty) -> + let ty' = FreshNamesGenerator.clean_dummy_dependent_types ty in + let context' = + List.map + (function + None -> None + | Some (n, Cic.Decl t) -> + Some (n, + Cic.Decl (FreshNamesGenerator.clean_dummy_dependent_types t)) + | Some (n, Cic.Def (bo,ty)) -> + let bo' = FreshNamesGenerator.clean_dummy_dependent_types bo in + let ty' = + match ty with + None -> None + | Some ty -> + Some (FreshNamesGenerator.clean_dummy_dependent_types ty) + in + Some (n, Cic.Def (bo',ty')) + ) context + in + (n,context',ty') + ) substituted_metasenv + in + (cleaned_t,cleaned_ty,cleaned_metasenv,ugraph1) +;; + +let type_of_aux' ?localization_tbl metasenv context term ugraph = + try + type_of_aux' ?localization_tbl metasenv context term ugraph + with + CicUniv.UniverseInconsistency msg -> raise (RefineFailure (lazy msg)) + +let undebrujin uri typesno tys 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)) + +let map_first_n n start f g l = + let rec aux acc k l = + if k < n then + match l with + | [] -> raise (Invalid_argument "map_first_n") + | hd :: tl -> f hd k (aux acc (k+1) tl) + else + g acc l + in + aux start 0 l + +(*CSC: this is a very rough approximation; to be finished *) +let are_all_occurrences_positive metasenv ugraph uri tys leftno = + let subst,metasenv,ugraph,tys = + List.fold_right + (fun (name,ind,arity,cl) (subst,metasenv,ugraph,acc) -> + let subst,metasenv,ugraph,cl = + List.fold_right + (fun (name,ty) (subst,metasenv,ugraph,acc) -> + let rec aux ctx k subst = function + | Cic.Appl((Cic.MutInd (uri',_,_)as hd)::tl) when uri = uri'-> + let subst,metasenv,ugraph,tl = + map_first_n leftno + (subst,metasenv,ugraph,[]) + (fun t n (subst,metasenv,ugraph,acc) -> + let subst,metasenv,ugraph = + fo_unif_subst + subst ctx metasenv t (Cic.Rel (k-n)) ugraph + in + subst,metasenv,ugraph,(t::acc)) + (fun (s,m,g,acc) tl -> assert(acc=[]);(s,m,g,tl)) + tl + in + subst,metasenv,ugraph,(Cic.Appl (hd::tl)) + | Cic.MutInd(uri',_,_) as t when uri = uri'-> + subst,metasenv,ugraph,t + | Cic.Prod (name,s,t) -> + let ctx = (Some (name,Cic.Decl s))::ctx in + let subst,metasenv,ugraph,t = aux ctx (k+1) subst t in + subst,metasenv,ugraph,Cic.Prod (name,s,t) + | _ -> + raise + (RefineFailure + (lazy "not well formed constructor type")) + in + let subst,metasenv,ugraph,ty = aux [] 0 subst ty in + subst,metasenv,ugraph,(name,ty) :: acc) + cl (subst,metasenv,ugraph,[]) + in + subst,metasenv,ugraph,(name,ind,arity,cl)::acc) + tys ([],metasenv,ugraph,[]) + in + let substituted_tys = + List.map + (fun (name,ind,arity,cl) -> + let cl = + List.map (fun (name, ty) -> name,CicMetaSubst.apply_subst subst ty) cl + in + name,ind,CicMetaSubst.apply_subst subst arity,cl) + tys + in + metasenv,ugraph,substituted_tys + +let typecheck metasenv uri obj ~localization_tbl = + 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' ~localization_tbl metasenv [] bo ugraph in + let ty',_,metasenv,ugraph = + type_of_aux' ~localization_tbl 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' ~localization_tbl 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' ~localization_tbl metasenv [] bo ugraph in + let ty',sort,metasenv,ugraph = + type_of_aux' ~localization_tbl 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 (lazy "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' ~localization_tbl 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 + ~cb:(relocalize localization_tbl) uri typesno ty in + let ty',_,metasenv,ugraph = + type_of_aux' ~localization_tbl metasenv con_context ty ugraph in + let ty' = undebrujin uri typesno tys 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 *) + let metasenv,ugraph,tys = + are_all_occurrences_positive metasenv ugraph uri tys paramsno + in + 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 (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 (lazy ("@@@ REFINE FAILED: " ^ msg)); + raise e + | Uncertain msg as e -> + debug_print (lazy ("@@@ REFINE UNCERTAIN: " ^ msg)); + raise e +;; *) + +let profiler2 = HExtlib.profile "CicRefine" + +let type_of_aux' ?localization_tbl metasenv context term ugraph = + profiler2.HExtlib.profile + (type_of_aux' ?localization_tbl metasenv context term) ugraph + +let typecheck ~localization_tbl metasenv uri obj = + profiler2.HExtlib.profile (typecheck ~localization_tbl metasenv uri) obj