--- /dev/null
+(* 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
projects / helm.git / blobdiff