(* ||M|| This file is part of HELM, an Hypertextual, Electronic ||A|| Library of Mathematics, developed at the Computer Science ||T|| Department, University of Bologna, Italy. ||I|| ||T|| HELM is free software; you can redistribute it and/or ||A|| modify it under the terms of the GNU General Public License \ / version 2 or (at your option) any later version. \ / This software is distributed as is, NO WARRANTY. V_______________________________________________________________ *) (* $Id$ *) exception RefineFailure of (Stdpp.location * string) Lazy.t;; exception Uncertain of (Stdpp.location * string) Lazy.t;; exception AssertFailure of string Lazy.t;; module C = NCic module Ref = NReference let indent = ref "";; let inside c = indent := !indent ^ String.make 1 c;; let outside () = indent := String.sub !indent 0 (String.length !indent -1);; let pp s = prerr_endline (Printf.sprintf "%-20s" !indent ^ " " ^ Lazy.force s) ;; let pp _ = ();; let wrap_exc msg = function | NCicUnification.Uncertain _ -> Uncertain msg | NCicUnification.UnificationFailure _ -> RefineFailure msg | NCicTypeChecker.TypeCheckerFailure _ -> RefineFailure msg | e -> raise e ;; let exp_implicit metasenv context expty = let foo x = match expty with Some t -> `WithType t | None -> x in function | `Closed -> NCicMetaSubst.mk_meta metasenv [] (foo `Term) | `Type -> NCicMetaSubst.mk_meta metasenv context (foo `Type) | `Term -> NCicMetaSubst.mk_meta metasenv context (foo `Term) | _ -> assert false ;; let check_allowed_sort_elimination hdb localise r orig = let mkapp he arg = match he with | C.Appl l -> C.Appl (l @ [arg]) | t -> C.Appl [t;arg] in (* ctx, ind_type @ lefts, sort_of_ind_ty@lefts, outsort *) let rec aux metasenv subst context ind arity1 arity2 = (*D*)inside 'S'; try let rc = let arity1 = NCicReduction.whd ~subst context arity1 in pp (lazy(NCicPp.ppterm ~subst ~metasenv ~context arity1 ^ " elimsto " ^ NCicPp.ppterm ~subst ~metasenv ~context arity2 ^ "\nMENV:\n"^ NCicPp.ppmetasenv ~subst metasenv)); match arity1 with | C.Prod (name,so1,de1) (* , t ==?== C.Prod _ *) -> let metasenv, _, meta, _ = NCicMetaSubst.mk_meta metasenv ((name,C.Decl so1)::context) `Type in let metasenv, subst = try NCicUnification.unify hdb metasenv subst context arity2 (C.Prod (name, so1, meta)) with exc -> raise (wrap_exc (lazy (localise orig, Printf.sprintf "expected %s, found %s" (* XXX localizzare meglio *) (NCicPp.ppterm ~subst ~metasenv ~context (C.Prod (name, so1, meta))) (NCicPp.ppterm ~subst ~metasenv ~context arity2))) exc) in aux metasenv subst ((name, C.Decl so1)::context) (mkapp (NCicSubstitution.lift 1 ind) (C.Rel 1)) de1 meta | C.Sort _ (* , t ==?== C.Prod _ *) -> let metasenv, _, meta, _ = NCicMetaSubst.mk_meta metasenv [] `Type in let metasenv, subst = try NCicUnification.unify hdb metasenv subst context arity2 (C.Prod ("_", ind, meta)) with exc -> raise (wrap_exc (lazy (localise orig, Printf.sprintf "expected %s, found %s" (* XXX localizzare meglio *) (NCicPp.ppterm ~subst ~metasenv ~context (C.Prod ("_", ind, meta))) (NCicPp.ppterm ~subst ~metasenv ~context arity2))) exc) in (try NCicTypeChecker.check_allowed_sort_elimination ~metasenv ~subst r context ind arity1 arity2; metasenv, subst with exc -> raise (wrap_exc (lazy (localise orig, "Sort elimination not allowed ")) exc)) | _ -> assert false (*D*)in outside(); rc with exc -> outside (); raise exc in aux ;; let rec typeof hdb ?(localise=fun _ -> Stdpp.dummy_loc) ~look_for_coercion metasenv subst context term expty = let force_ty skip_lambda metasenv subst context orig t infty expty = (*D*)inside 'F'; try let rc = match expty with | Some expty -> (match t with | C.Implicit _ -> assert false | C.Lambda _ when skip_lambda -> metasenv, subst, t, expty | _ -> pp (lazy ( (NCicPp.ppterm ~metasenv ~subst ~context infty) ^ " === " ^ (NCicPp.ppterm ~metasenv ~subst:[] ~context expty))); try let metasenv, subst = NCicUnification.unify hdb metasenv subst context infty expty in metasenv, subst, t, expty with exc -> try_coercions hdb ~look_for_coercion ~localise metasenv subst context t orig infty expty true exc) | None -> metasenv, subst, t, infty (*D*)in outside(); rc with exc -> outside (); raise exc in let rec typeof_aux metasenv subst context expty = fun t as orig -> (*D*)inside 'R'; try let rc = pp (lazy (NCicPp.ppterm ~metasenv ~subst ~context t)); pp (lazy (if expty = None then "NONE" else "SOME")); if (List.exists (fun (i,_) -> i=29) subst) then pp (lazy (NCicPp.ppsubst ~metasenv subst)); let metasenv, subst, t, infty = match t with | C.Rel n -> let infty = (try match List.nth context (n - 1) with | (_,C.Decl ty) -> NCicSubstitution.lift n ty | (_,C.Def (_,ty)) -> NCicSubstitution.lift n ty with Failure _ -> raise (RefineFailure (lazy (localise t,"unbound variable")))) in metasenv, subst, t, infty | C.Sort (C.Type [false,u]) -> metasenv,subst,t,(C.Sort (C.Type [true, u])) | C.Sort (C.Type _) -> raise (AssertFailure (lazy ("Cannot type an inferred type: "^ NCicPp.ppterm ~subst ~metasenv ~context t))) | C.Sort _ -> metasenv,subst,t,(C.Sort (C.Type NCicEnvironment.type0)) | C.Implicit infos -> let metasenv,_,t,ty = exp_implicit metasenv context expty infos in metasenv, subst, t, ty | C.Meta (n,l) as t -> let ty = try let _,_,_,ty = NCicUtils.lookup_subst n subst in ty with NCicUtils.Subst_not_found _ -> try let _,_,ty = NCicUtils.lookup_meta n metasenv in match ty with C.Implicit _ -> prerr_endline (string_of_int n); prerr_endline (NCicPp.ppmetasenv ~subst metasenv); prerr_endline (NCicPp.ppsubst ~metasenv subst); assert false | _ -> ty with NCicUtils.Meta_not_found _ -> raise (AssertFailure (lazy (Printf.sprintf "%s not found" (NCicPp.ppterm ~subst ~metasenv ~context t)))) in metasenv, subst, t, NCicSubstitution.subst_meta l ty | C.Const _ -> metasenv, subst, t, NCicTypeChecker.typeof ~subst ~metasenv context t | C.Prod (name,(s as orig_s),(t as orig_t)) -> let metasenv, subst, s, s1 = typeof_aux metasenv subst context None s in let metasenv, subst, s, s1 = force_to_sort hdb ~look_for_coercion metasenv subst context s orig_s localise s1 in let context1 = (name,(C.Decl s))::context in let metasenv, subst, t, s2 = typeof_aux metasenv subst context1 None t in let metasenv, subst, t, s2 = force_to_sort hdb ~look_for_coercion metasenv subst context1 t orig_t localise s2 in let metasenv, subst, s, t, ty = sort_of_prod localise metasenv subst context orig_s orig_t (name,s) t (s1,s2) in metasenv, subst, NCic.Prod(name,s,t), ty | C.Lambda (n,(s as orig_s),t) as orig -> let exp_s, exp_ty_t, force_after = match expty with | None -> None, None, false | Some expty -> match NCicReduction.whd ~subst context expty with | C.Prod (_,s,t) -> Some s, Some t, false | _ -> None, None, true in let metasenv, subst, s, ty_s = typeof_aux metasenv subst context None s in let metasenv, subst, s, _ = force_to_sort hdb ~look_for_coercion metasenv subst context s orig_s localise ty_s in let (metasenv,subst), exp_ty_t = match exp_s with | Some exp_s -> (try NCicUnification.unify hdb metasenv subst context s exp_s,exp_ty_t with exc -> raise (wrap_exc (lazy (localise orig_s, Printf.sprintf "Source type %s was expected to be %s" (NCicPp.ppterm ~metasenv ~subst ~context s) (NCicPp.ppterm ~metasenv ~subst ~context exp_s))) exc)) | None -> (metasenv, subst), None in let context_for_t = (n,C.Decl s) :: context in let metasenv, subst, t, ty_t = typeof_aux metasenv subst context_for_t exp_ty_t t in if force_after then force_ty false metasenv subst context orig (C.Lambda(n,s,t)) (C.Prod (n,s,ty_t)) expty else metasenv, subst, C.Lambda(n,s,t), C.Prod (n,s,ty_t) | C.LetIn (n,(ty as orig_ty),t,bo) -> let metasenv, subst, ty, ty_ty = typeof_aux metasenv subst context None ty in let metasenv, subst, ty, _ = force_to_sort hdb ~look_for_coercion metasenv subst context ty orig_ty localise ty_ty in let metasenv, subst, t, _ = typeof_aux metasenv subst context (Some ty) t in let context1 = (n, C.Def (t,ty)) :: context in let metasenv, subst, bo, bo_ty = typeof_aux metasenv subst context1 None bo in let bo_ty = NCicSubstitution.subst ~avoid_beta_redexes:true t bo_ty in metasenv, subst, C.LetIn (n, ty, t, bo), bo_ty | C.Appl ((he as orig_he)::(_::_ as args)) -> let upto = match orig_he with C.Meta _ -> List.length args | _ -> 0 in let metasenv, subst, he, ty_he = typeof_aux metasenv subst context None he in let metasenv, subst, t, ty = eat_prods hdb ~localise ~look_for_coercion metasenv subst context orig_he he ty_he args in let t = if upto > 0 then NCicReduction.head_beta_reduce ~upto t else t in metasenv, subst, t, ty | C.Appl _ -> raise (AssertFailure (lazy "Appl of length < 2")) | C.Match (Ref.Ref (_,Ref.Ind (_,tyno,_)) as r, outtype,(term as orig_term),pl) as orig -> let _, leftno, itl, _, _ = NCicEnvironment.get_checked_indtys r in let _, _, arity, cl = List.nth itl tyno in let constructorsno = List.length cl in let _, metasenv, args = NCicMetaSubst.saturate metasenv subst context arity 0 in let ind = if args = [] then C.Const r else C.Appl (C.Const r::args) in let metasenv, subst, term, _ = typeof_aux metasenv subst context (Some ind) term in let parameters, arguments = HExtlib.split_nth leftno args in let outtype = match outtype with | C.Implicit _ as ot -> let rec aux = function | [] -> NCic.Lambda ("_",NCic.Implicit `Type,ot) | _::tl -> NCic.Lambda ("_",NCic.Implicit `Type,aux tl) in aux arguments | _ -> outtype in let metasenv, subst, outtype, outsort = typeof_aux metasenv subst context None outtype in (* let's control if the sort elimination is allowed: [(I q1 ... qr)|B] *) let ind = if parameters = [] then C.Const r else C.Appl ((C.Const r)::parameters) in let metasenv, subst, ind, ind_ty = typeof_aux metasenv subst context None ind in let metasenv, subst = check_allowed_sort_elimination hdb localise r orig_term metasenv subst context ind ind_ty outsort in (* let's check if the type of branches are right *) if List.length pl <> constructorsno then raise (RefineFailure (lazy (localise orig, "Wrong number of cases in a match"))); (* let metasenv, subst = match expty with | None -> metasenv, subst | Some expty -> NCicUnification.unify hdb metasenv subst context resty expty in *) let _, metasenv, subst, pl_rev = List.fold_left (fun (j, metasenv, subst, branches) p -> let cons = let cons = Ref.mk_constructor j r in if parameters = [] then C.Const cons else C.Appl (C.Const cons::parameters) in let metasenv, subst, cons, ty_cons = typeof_aux metasenv subst context None cons in let ty_branch = NCicTypeChecker.type_of_branch ~subst context leftno outtype cons ty_cons in pp (lazy ("TYPEOFBRANCH: " ^ NCicPp.ppterm ~metasenv ~subst ~context p ^ " ::: " ^ NCicPp.ppterm ~metasenv ~subst ~context ty_branch )); let metasenv, subst, p, _ = typeof_aux metasenv subst context (Some ty_branch) p in j+1, metasenv, subst, p :: branches) (1, metasenv, subst, []) pl in let resty = C.Appl (outtype::arguments@[term]) in let resty = NCicReduction.head_beta_reduce ~subst resty in metasenv, subst, C.Match (r, outtype, term, List.rev pl_rev),resty | C.Match _ -> assert false in pp (lazy (NCicPp.ppterm ~metasenv ~subst ~context t ^ " :: "^ NCicPp.ppterm ~metasenv ~subst ~context infty )); force_ty true metasenv subst context orig t infty expty (*D*)in outside(); rc with exc -> outside (); raise exc in typeof_aux metasenv subst context expty term and try_coercions hdb ~localise ~look_for_coercion metasenv subst context t orig_t infty expty perform_unification exc = (* we try with a coercion *) let rec first exc = function | [] -> raise (wrap_exc (lazy (localise orig_t, Printf.sprintf "The term %s has type %s but is here used with type %s" (NCicPp.ppterm ~metasenv ~subst ~context t) (NCicPp.ppterm ~metasenv ~subst ~context infty) (NCicPp.ppterm ~metasenv ~subst ~context expty))) exc) | (metasenv, newterm, newtype, meta)::tl -> try pp (lazy ( "UNIFICATION in CTX:\n"^ NCicPp.ppcontext ~metasenv ~subst context ^ "\nMENV: " ^ NCicPp.ppmetasenv metasenv ~subst ^ "\nOF: " ^ NCicPp.ppterm ~metasenv ~subst ~context meta ^ " === " ^ NCicPp.ppterm ~metasenv ~subst ~context t ^ "\n")); let metasenv, subst = NCicUnification.unify hdb metasenv subst context meta t in pp (lazy ( "UNIFICATION in CTX:\n"^ NCicPp.ppcontext ~metasenv ~subst context ^ "\nMENV: " ^ NCicPp.ppmetasenv metasenv ~subst ^ "\nOF: " ^ NCicPp.ppterm ~metasenv ~subst ~context newtype ^ " === " ^ NCicPp.ppterm ~metasenv ~subst ~context expty ^ "\n")); let metasenv, subst = if perform_unification then NCicUnification.unify hdb metasenv subst context newtype expty else metasenv, subst in metasenv, subst, newterm, newtype with | NCicUnification.UnificationFailure _ -> first exc tl | NCicUnification.Uncertain _ as exc -> first exc tl in first exc (look_for_coercion metasenv subst context infty expty) and force_to_sort hdb ~look_for_coercion metasenv subst context t orig_t localise ty = match NCicReduction.whd ~subst context ty with | C.Meta (_,(0,(C.Irl 0 | C.Ctx []))) as ty -> metasenv, subst, t, ty | C.Meta (i,(_,(C.Irl 0 | C.Ctx []))) -> metasenv, subst, t, C.Meta(i,(0,C.Irl 0)) | C.Meta (i,(_,lc)) -> let len = match lc with C.Irl len->len | C.Ctx l->List.length l in let metasenv, subst, newmeta = if len > 0 then NCicMetaSubst.restrict metasenv subst i (HExtlib.list_seq 1 (len+1)) else metasenv, subst, i in metasenv, subst, t, C.Meta (newmeta,(0,C.Irl 0)) | C.Sort _ as ty -> metasenv, subst, t, ty | ty -> try_coercions hdb ~localise ~look_for_coercion metasenv subst context t orig_t ty (NCic.Sort (NCic.Type NCicEnvironment.type0)) false (Uncertain (lazy (localise orig_t, "The type of " ^ NCicPp.ppterm ~metasenv ~subst ~context t ^ " is not a sort: " ^ NCicPp.ppterm ~metasenv ~subst ~context ty))) and sort_of_prod localise metasenv subst context orig_s orig_t (name,s) t (t1, t2) = (* force to sort is done in the Prod case in typeof *) match t1, t2 with | C.Sort _, C.Sort C.Prop -> metasenv, subst, s, t, t2 | C.Sort (C.Type u1), C.Sort (C.Type u2) -> metasenv, subst, s, t, C.Sort (C.Type (NCicEnvironment.max u1 u2)) | C.Sort C.Prop,C.Sort (C.Type _) -> metasenv, subst, s, t, t2 | C.Meta _, C.Sort _ | C.Meta _, C.Meta (_,(_,_)) | C.Sort _, C.Meta (_,(_,_)) -> metasenv, subst, s, t, t2 | x, (C.Sort _ | C.Meta _) | _, x -> let y, context, orig = if x == t1 then s, context, orig_s else t, ((name,C.Decl s)::context), orig_t in raise (RefineFailure (lazy (localise orig,Printf.sprintf "%s is expected to be a type, but its type is %s that is not a sort" (NCicPp.ppterm ~subst ~metasenv ~context y) (NCicPp.ppterm ~subst ~metasenv ~context x)))) and eat_prods hdb ~localise ~look_for_coercion metasenv subst context orig_he he ty_he args = (*D*)inside 'E'; try let rc = let rec aux metasenv subst args_so_far he ty_he = function | []->metasenv, subst, NCicUntrusted.mk_appl he (List.rev args_so_far), ty_he | arg::tl -> match NCicReduction.whd ~subst context ty_he with | C.Prod (_,s,t) -> let metasenv, subst, arg, _ = typeof hdb ~look_for_coercion ~localise metasenv subst context arg (Some s) in let t = NCicSubstitution.subst ~avoid_beta_redexes:true arg t in aux metasenv subst (arg :: args_so_far) he t tl | C.Meta _ | C.Appl (C.Meta _ :: _) as t -> let metasenv, subst, arg, ty_arg = typeof hdb ~look_for_coercion ~localise metasenv subst context arg None in let metasenv, _, meta, _ = NCicMetaSubst.mk_meta metasenv (("_",C.Decl ty_arg) :: context) `Type in let flex_prod = C.Prod ("_", ty_arg, meta) in (* next line grants that ty_args is a type *) let metasenv,subst, flex_prod, _ = typeof hdb ~look_for_coercion ~localise metasenv subst context flex_prod None in pp (lazy ( "UNIFICATION in CTX:\n"^ NCicPp.ppcontext ~metasenv ~subst context ^ "\nOF: " ^ NCicPp.ppterm ~metasenv ~subst ~context t ^ " === " ^ NCicPp.ppterm ~metasenv ~subst ~context flex_prod ^ "\n")); let metasenv, subst = try NCicUnification.unify hdb metasenv subst context t flex_prod with exc -> raise (wrap_exc (lazy (localise orig_he, Printf.sprintf ("The term %s has an inferred type %s, but is applied to the" ^^ " argument %s of type %s") (NCicPp.ppterm ~metasenv ~subst ~context he) (NCicPp.ppterm ~metasenv ~subst ~context t) (NCicPp.ppterm ~metasenv ~subst ~context arg) (NCicPp.ppterm ~metasenv ~subst ~context ty_arg))) exc) (* XXX coerce to funclass *) in let meta = NCicSubstitution.subst ~avoid_beta_redexes:true arg meta in aux metasenv subst (arg :: args_so_far) he meta tl | C.Match (_,_,C.Meta _,_) | C.Match (_,_,C.Appl (C.Meta _ :: _),_) | C.Appl (C.Const (NReference.Ref (_, NReference.Fix _)) :: _) -> raise (Uncertain (lazy (localise orig_he, Printf.sprintf ("The term %s is here applied to %d arguments but expects " ^^ "only %d arguments") (NCicPp.ppterm ~metasenv ~subst ~context he) (List.length args) (List.length args_so_far)))) | ty -> let metasenv, subst, newhead, newheadty = try_coercions hdb ~localise ~look_for_coercion metasenv subst context (NCicUntrusted.mk_appl he (List.rev args_so_far)) orig_he ty (NCic.Prod ("_",NCic.Implicit `Term,NCic.Implicit `Term)) false (RefineFailure (lazy (localise orig_he, Printf.sprintf ("The term %s is here applied to %d arguments but expects " ^^ "only %d arguments") (NCicPp.ppterm ~metasenv ~subst ~context he) (List.length args) (List.length args_so_far)))) in aux metasenv subst [] newhead newheadty (arg :: tl) in aux metasenv subst [] he ty_he args (*D*)in outside(); rc with exc -> outside (); raise exc ;; let rec first f l1 l2 = match l1,l2 with | x1::tl1, x2::tl2 -> (try f x1 x2 with Not_found -> first f tl1 tl2) | _ -> raise Not_found ;; let rec find add dt t = if dt == add then t else let dl, l = match dt, t with | C.Meta (_,(_,C.Ctx dl)), C.Meta (_,(_,C.Ctx l)) | C.Appl dl,C.Appl l -> dl,l | C.Lambda (_,ds,dt), C.Lambda (_,s,t) | C.Prod (_,ds,dt), C.Prod (_,s,t) -> [ds;dt],[s;t] | C.LetIn (_,ds,db,dt), C.LetIn (_,s,b,t) -> [ds;db;dt],[s;b;t] | C.Match (_,dot,dt,dl), C.Match (_,ot,t,l) -> (dot::dt::dl),(ot::t::l) | _ -> raise Not_found in first (find add) dl l ;; let relocalise old_localise dt t add = old_localise (try find add dt t with Not_found -> assert false) ;; let undebruijnate inductive ref t rev_fl = NCicSubstitution.psubst (fun x -> x) (HExtlib.list_mapi (fun (_,_,rno,_,_,_) i -> NCic.Const (if inductive then NReference.mk_fix i rno ref else NReference.mk_cofix i ref)) rev_fl) t ;; let typeof_obj hdb ?(localise=fun _ -> Stdpp.dummy_loc) ~look_for_coercion (uri,height,metasenv,subst, obj) = let check_type metasenv subst (ty as orig_ty) = (* XXX fattorizza *) let metasenv, subst, ty, sort = typeof hdb ~localise ~look_for_coercion metasenv subst [] ty None in let metasenv, subst, ty, _ = force_to_sort hdb ~look_for_coercion metasenv subst [] ty orig_ty localise sort in metasenv, subst, ty in match obj with | C.Constant (relevance, name, bo, ty , attr) -> let metasenv, subst, ty = check_type metasenv subst ty in let metasenv, subst, bo, ty, height = match bo with | Some bo -> let metasenv, subst, bo, ty = typeof hdb ~localise ~look_for_coercion metasenv subst [] bo (Some ty) in let height = (* XXX recalculate *) height in metasenv, subst, Some bo, ty, height | None -> metasenv, subst, None, ty, 0 in uri, height, metasenv, subst, C.Constant (relevance, name, bo, ty, attr) | C.Fixpoint (inductive, fl, attr) -> let len = List.length fl in let types, metasenv, subst, rev_fl = List.fold_left (fun (types, metasenv, subst, fl) (relevance,name,k,ty,bo) -> let metasenv, subst, ty = check_type metasenv subst ty in let dbo = NCicTypeChecker.debruijn uri len [] bo in let localise = relocalise localise dbo bo in (name,C.Decl ty)::types, metasenv, subst, (relevance,name,k,ty,dbo,localise)::fl ) ([], metasenv, subst, []) fl (* XXX kl rimosso nel nucleo *) in let metasenv, subst, fl = List.fold_left (fun (metasenv,subst,fl) (relevance,name,k,ty,dbo,localise) -> let metasenv, subst, dbo, ty = typeof hdb ~localise ~look_for_coercion metasenv subst types dbo (Some ty) in metasenv, subst, (relevance,name,k,ty,dbo)::fl) (metasenv, subst, []) rev_fl in let height = (* XXX recalculate *) height in let fl = List.map (fun (relevance,name,k,ty,dbo) -> let bo = undebruijnate inductive (NReference.reference_of_spec uri (if inductive then NReference.Fix (0,k,0) else NReference.CoFix 0)) dbo rev_fl in relevance,name,k,ty,bo) fl in uri, height, metasenv, subst, C.Fixpoint (inductive, fl, attr) | C.Inductive (_ind, _leftno, _itl, _attr) -> assert false (* (* let's check if the arity of the inductive types are well formed *) List.iter (fun (_,_,x,_) -> ignore (typeof ~subst ~metasenv [] x)) tyl; (* let's check if the types of the inductive constructors are well formed. *) let len = List.length tyl in let tys = List.rev_map (fun (_,n,ty,_) -> (n,(C.Decl ty))) tyl in ignore (List.fold_right (fun (it_relev,_,ty,cl) i -> let context,ty_sort = split_prods ~subst [] ~-1 ty in let sx_context_ty_rev,_ = HExtlib.split_nth leftno (List.rev context) in List.iter (fun (k_relev,_,te) -> let _,k_relev = HExtlib.split_nth leftno k_relev in let te = debruijn uri len [] te in let context,te = split_prods ~subst tys leftno te in let _,chopped_context_rev = HExtlib.split_nth (List.length tys) (List.rev context) in let sx_context_te_rev,_ = HExtlib.split_nth leftno chopped_context_rev in (try ignore (List.fold_left2 (fun context item1 item2 -> let convertible = match item1,item2 with (n1,C.Decl ty1),(n2,C.Decl ty2) -> n1 = n2 && R.are_convertible ~metasenv ~subst context ty1 ty2 | (n1,C.Def (bo1,ty1)),(n2,C.Def (bo2,ty2)) -> n1 = n2 && R.are_convertible ~metasenv ~subst context ty1 ty2 && R.are_convertible ~metasenv ~subst context bo1 bo2 | _,_ -> false in if not convertible then raise (TypeCheckerFailure (lazy ("Mismatch between the left parameters of the constructor " ^ "and those of its inductive type"))) else item1::context ) [] sx_context_ty_rev sx_context_te_rev) with Invalid_argument "List.fold_left2" -> assert false); let con_sort = typeof ~subst ~metasenv context te in (match R.whd ~subst context con_sort, R.whd ~subst [] ty_sort with (C.Sort (C.Type u1) as s1), (C.Sort (C.Type u2) as s2) -> if not (E.universe_leq u1 u2) then raise (TypeCheckerFailure (lazy ("The type " ^ PP.ppterm ~metasenv ~subst ~context s1^ " of the constructor is not included in the inductive" ^ " type sort " ^ PP.ppterm ~metasenv ~subst ~context s2))) | C.Sort _, C.Sort C.Prop | C.Sort _, C.Sort C.Type _ -> () | _, _ -> raise (TypeCheckerFailure (lazy ("Wrong constructor or inductive arity shape")))); (* let's check also the positivity conditions *) if not (are_all_occurrences_positive ~subst context uri leftno (i+leftno) leftno (len+leftno) te) then raise (TypeCheckerFailure (lazy ("Non positive occurence in "^NUri.string_of_uri uri))) else check_relevance ~subst ~metasenv context k_relev te) cl; check_relevance ~subst ~metasenv [] it_relev ty; i+1) tyl 1) *) ;; (* vim:set foldmethod=marker: *)