X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=helm%2Fsoftware%2Fcomponents%2Fng_refiner%2FnCicRefiner.ml;h=8476119ad081c24489559e5e2e566ea0318f13bb;hb=e62111335574a6ec78e5a4367a540e0529a00404;hp=fdb9c2137332b3c5196b3b10349f1a046b983723;hpb=0bcc03be833e8f177850e6b9785713d7975ee8bd;p=helm.git diff --git a/helm/software/components/ng_refiner/nCicRefiner.ml b/helm/software/components/ng_refiner/nCicRefiner.ml index fdb9c2137..8476119ad 100644 --- a/helm/software/components/ng_refiner/nCicRefiner.ml +++ b/helm/software/components/ng_refiner/nCicRefiner.ml @@ -236,23 +236,34 @@ let rec typeof rdb | 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 rdb - metasenv subst context s orig_s localise ty_s in - let (metasenv,subst), exp_ty_t = + let (metasenv,subst), s = match exp_s with - | Some exp_s -> - (try - pp(lazy("Force source to: "^NCicPp.ppterm ~metasenv ~subst - ~context exp_s)); - NCicUnification.unify ~test_eq_only:true rdb 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 + | Some exp_s -> + (* optimized case: implicit and implicitly typed meta + * the optimization prevents proliferation of metas *) + (match s with + | C.Implicit _ -> (metasenv,subst),exp_s + | _ -> + let metasenv, subst, s = match s with + | C.Meta (n,_) + when (try (match NCicUtils.lookup_meta n metasenv with + | _,_,C.Implicit (`Typeof _) -> true + | _ -> false) + with + | _ -> false) -> metasenv, subst, s + | _ -> check_type rdb ~localise metasenv subst context s in + (try + pp(lazy("Force source to: "^NCicPp.ppterm ~metasenv ~subst + ~context exp_s)); + NCicUnification.unify ~test_eq_only:true rdb metasenv subst context s exp_s,s + 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 -> + let metasenv, subst, s = + check_type rdb ~localise metasenv subst context s in + (metasenv, subst), s in let context_for_t = (n,C.Decl s) :: context in let metasenv, subst, t, ty_t = @@ -263,12 +274,9 @@ let rec typeof rdb (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 rdb - metasenv subst context ty orig_ty localise ty_ty in + | C.LetIn (n,ty,t,bo) -> + let metasenv, subst, ty = + check_type rdb ~localise metasenv subst context ty in let metasenv, subst, t, _ = typeof_aux metasenv subst context (Some ty) t in let context1 = (n, C.Def (t,ty)) :: context in @@ -400,13 +408,31 @@ let rec typeof rdb in typeof_aux metasenv subst context expty term +and check_type rdb ~localise metasenv subst context (ty as orig_ty) = + let metasenv, subst, ty, sort = + typeof rdb ~localise metasenv subst context ty None + in + let metasenv, subst, ty, _ = + force_to_sort rdb metasenv subst context ty orig_ty localise sort + in + metasenv, subst, ty + and try_coercions rdb ~localise metasenv subst context t orig_t infty expty perform_unification exc = + let cs_subst = NCicSubstitution.subst ~avoid_beta_redexes:true in + try + pp (lazy "WWW: trying coercions -- preliminary unification"); + let metasenv, subst = + NCicUnification.unify rdb metasenv subst context infty expty + in metasenv, subst, t, expty + with + | exn -> (* we try with a coercion *) let rec first exc = function - | [] -> + | [] -> + pp (lazy "WWW: no more coercions!"); raise (wrap_exc (lazy (localise orig_t, Printf.sprintf "The term\n%s\nhas type\n%s\nbut is here used with type\n%s" (NCicPp.ppterm ~metasenv ~subst ~context t) @@ -441,7 +467,332 @@ and try_coercions rdb with | NCicUnification.UnificationFailure _ -> first exc tl | NCicUnification.Uncertain _ as exc -> first exc tl - in + in + + try + pp (lazy "WWW: trying coercions -- inner check"); + match infty, expty, t with + | _,_, NCic.Match (Ref.Ref (_,Ref.Ind (_,tyno,leftno)) as r,outty,m,pl) -> + (*{{{*) pp (lazy "CASE"); + (* {{{ helper functions *) + let get_cl_and_left_p refit outty = + match refit with + | NReference.Ref (uri, NReference.Ind (_,tyno,leftno)) -> + let _, leftno, itl, _, _ = NCicEnvironment.get_checked_indtys r in + let _, _, ty, cl = List.nth itl tyno in + let constructorsno = List.length cl in + let count_pis t = + let rec aux ctx t = + match NCicReduction.whd ~subst ~delta:max_int ctx t with + | NCic.Prod (name,src,tgt) -> + let ctx = (name, (NCic.Decl src)) :: ctx in + 1 + aux ctx tgt + | _ -> 0 + in + aux [] t + in + let rec skip_lambda_delifting t n = + match t,n with + | _,0 -> t + | NCic.Lambda (_,_,t),n -> + pp (lazy ("WWW: failing term? "^ NCicPp.ppterm ~subst:[] ~metasenv:[] ~context:[] t)); + skip_lambda_delifting + (* substitute dangling indices with a dummy *) + (NCicSubstitution.subst (NCic.Sort NCic.Prop) t) (n - 1) + | _ -> assert false + in + let get_l_r_p n = function + | NCic.Lambda (_,NCic.Const (Ref.Ref (_,Ref.Ind (_,_,_))),_) -> [],[] + | NCic.Lambda (_,NCic.Appl + (NCic.Const (Ref.Ref (_,Ref.Ind (_,_,_))) :: args),_) -> + HExtlib.split_nth n args + | _ -> assert false + in + let pis = count_pis ty in + let rno = pis - leftno in + let t = skip_lambda_delifting outty rno in + let left_p, _ = get_l_r_p leftno t in + let instantiate_with_left cl = + List.map + (fun ty -> + List.fold_left + (fun t p -> match t with + | NCic.Prod (_,_,t) -> + cs_subst p t + | _-> assert false) + ty left_p) + cl + in + let cl = instantiate_with_left (List.map (fun (_,_,x) -> x) cl) in + cl, left_p, leftno, rno + | _ -> raise exn + in + let rec keep_lambdas_and_put_expty ctx t bo right_p matched n = + match t,n with + | _,0 -> + let rec mkr n = function + | [] -> [] | _::tl -> NCic.Rel n :: mkr (n+1) tl + in + pp (lazy ("input replace: " ^ NCicPp.ppterm ~context:ctx ~metasenv:[] ~subst:[] bo)); + let bo = + NCicRefineUtil.replace_lifting + ~equality:(fun _ -> NCicRefineUtil.alpha_equivalence) + ~context:ctx + ~what:(matched::right_p) + ~with_what:(NCic.Rel 1::List.rev (mkr 2 right_p)) + ~where:bo + in + pp (lazy ("output replace: " ^ NCicPp.ppterm ~context:ctx ~metasenv:[] ~subst:[] bo)); + bo + | NCic.Lambda (name, src, tgt),_ -> + NCic.Lambda (name, src, + keep_lambdas_and_put_expty + ((name, NCic.Decl src)::ctx) tgt (NCicSubstitution.lift 1 bo) + (List.map (NCicSubstitution.lift 1) right_p) (NCicSubstitution.lift 1 matched) (n-1)) + | _ -> assert false + in + (*let eq = NCic.Const (NReference.reference_of_string ("cic:/matita/ng/Plogic/equality/eq.ind(1,0,2)")) in + let eq_refl = NCic.Const (NReference.reference_of_string ("cic:/matita/ng/Plogic/equality/eq.con(0,1,2)")) in*) + let eq = NCic.Const (NReference.reference_of_string ("cic:/matita/ng/Plogic/jmeq/jmeq.ind(1,0,2)")) in + let eq_refl = NCic.Const (NReference.reference_of_string ("cic:/matita/ng/Plogic/jmeq/jmeq.con(0,1,2)")) in + let add_params + metasenv subst context cty outty mty m i + = + let rec aux context outty par j mty m = function + | NCic.Prod (name, src, tgt) -> + let t,k = + aux + ((name, NCic.Decl src) :: context) + (NCicSubstitution.lift 1 outty) (NCic.Rel j::par) (j+1) + (NCicSubstitution.lift 1 mty) (NCicSubstitution.lift 1 m) tgt + in + NCic.Prod (name, src, t), k + | NCic.Const (Ref.Ref (_,Ref.Ind (_,_,leftno)) as r) -> + let k = + let k = NCic.Const(Ref.mk_constructor i r) in + NCicUntrusted.mk_appl k par + in + (* the type has no parameters, so kty = mty + let kty = + try NCicTypechecker.typeof ~subst ~metasenv context k + with NCicTypeChecker.TypeCheckerFailure _ -> assert false + in *) + NCic.Prod ("p", + NCic.Appl [eq; mty; m; mty; k], + (NCicSubstitution.lift 1 + (NCicReduction.head_beta_reduce ~delta:max_int + (NCicUntrusted.mk_appl outty [k])))),[mty,m,mty,k] + | NCic.Appl (NCic.Const (Ref.Ref (_,Ref.Ind (_,_,leftno)) as r)::pl) -> + let left_p,right_p = HExtlib.split_nth leftno pl in + let has_rights = right_p <> [] in + let k = + let k = NCic.Const(Ref.mk_constructor i r) in + NCicUntrusted.mk_appl k (left_p@par) + in + let right_p = + try match + NCicTypeChecker.typeof ~subst ~metasenv context k + with + | NCic.Appl (NCic.Const (Ref.Ref (_,Ref.Ind (_,_,_)))::args) -> + snd (HExtlib.split_nth leftno args) + | _ -> assert false + with NCicTypeChecker.TypeCheckerFailure _-> assert false + in + let orig_right_p = + match mty with + | NCic.Appl (NCic.Const (Ref.Ref (_,Ref.Ind (_,_,_)))::args) -> + snd (HExtlib.split_nth leftno args) + | _ -> assert false + in + List.fold_right2 + (fun x y (tacc,pacc) -> + let xty = + try NCicTypeChecker.typeof ~subst ~metasenv context x + with NCicTypeChecker.TypeCheckerFailure _ -> assert false + in + let yty = + try NCicTypeChecker.typeof ~subst ~metasenv context y + with NCicTypeChecker.TypeCheckerFailure _ -> assert false + in + NCic.Prod ("_", NCic.Appl [eq;xty;x;yty;y], + NCicSubstitution.lift 1 tacc), (xty,x,yty,y)::pacc) + (orig_right_p @ [m]) (right_p @ [k]) + (NCicReduction.head_beta_reduce ~delta:max_int + (NCicUntrusted.mk_appl outty (right_p@[k])), []) + + (* if has_rights then + NCicReduction.head_beta_reduce ~delta:max_int + (NCic.Appl (outty ::right_p @ [k])),k + else + NCic.Prod ("p", + NCic.Appl [eq; mty; m; k], + (NCicSubstitution.lift 1 + (NCicReduction.head_beta_reduce ~delta:max_int + (NCic.Appl (outty ::right_p @ [k]))))),k*) + | _ -> assert false + in + aux context outty [] 1 mty m cty + in + let add_lambda_for_refl_m pbo eqs cty = + (* k lives in the right context *) + (* if rno <> 0 then pbo else *) + let rec aux = function + | NCic.Lambda (name,src,bo), NCic.Prod (_,_,ty) -> + NCic.Lambda (name,src, + (aux (bo,ty))) + | t,_ -> snd (List.fold_right + (fun (xty,x,yty,y) (n,acc) -> n+1, NCic.Lambda ("p" ^ string_of_int n, + NCic.Appl [eq; xty; x; yty; y], + NCicSubstitution.lift 1 acc)) eqs (1,t)) + (*NCic.Lambda ("p", + NCic.Appl [eq; mty; m; k],NCicSubstitution.lift 1 t)*) + in + aux (pbo,cty) + in + let add_pi_for_refl_m context new_outty mty m lno rno = + (*if rno <> 0 then new_outty else*) + let rec aux context mty m = function + | NCic.Lambda (name, src, tgt) -> + let context = (name, NCic.Decl src)::context in + NCic.Lambda (name, src, aux context (NCicSubstitution.lift 1 mty) (NCicSubstitution.lift 1 m) tgt) + | t -> + let lhs = + match mty with + | NCic.Appl (_::params) -> (snd (HExtlib.split_nth lno params))@[m] + | _ -> [m] + in + let rhs = + List.map (fun x -> NCic.Rel x) + (List.rev (HExtlib.list_seq 1 (rno+2))) in + List.fold_right2 + (fun x y acc -> + let xty = + try NCicTypeChecker.typeof ~subst ~metasenv context x + with NCicTypeChecker.TypeCheckerFailure _ -> assert false + in + let yty = + try NCicTypeChecker.typeof ~subst ~metasenv context y + with NCicTypeChecker.TypeCheckerFailure _ -> assert false + in + NCic.Prod + ("_", NCic.Appl [eq;xty;x;yty;y], + (NCicSubstitution.lift 1 acc))) + lhs rhs t + (* NCic.Prod + ("_", NCic.Appl [eq;mty;m;NCic.Rel 1], + NCicSubstitution.lift 1 t)*) + in + aux context mty m new_outty + in (* }}} end helper functions *) + (* constructors types with left params already instantiated *) + let outty = NCicUntrusted.apply_subst subst context outty in + let cl, left_p, leftno,rno = + get_cl_and_left_p r outty + in + let right_p, mty = + try + match + NCicTypeChecker.typeof ~subst ~metasenv context m + with + | (NCic.Const (Ref.Ref (_,Ref.Ind (_,_,_))) | NCic.Meta _) as mty -> [], mty + | NCic.Appl ((NCic.Const (Ref.Ref (_,Ref.Ind (_,_,_)))|NCic.Meta _)::args) as mty -> + snd (HExtlib.split_nth leftno args), mty + | _ -> assert false + with NCicTypeChecker.TypeCheckerFailure _ -> + raise (AssertFailure(lazy "already ill-typed matched term")) + in + let mty = NCicUntrusted.apply_subst subst context mty in + let outty = NCicUntrusted.apply_subst subst context outty in + let expty = NCicUntrusted.apply_subst subst context expty in + let new_outty = + keep_lambdas_and_put_expty context outty expty right_p m (rno+1) + in + pp + (lazy ("CASE: new_outty: " ^ NCicPp.ppterm + ~context ~metasenv ~subst new_outty)); + let _,pl,subst,metasenv = + List.fold_right2 + (fun cty pbo (i, acc, s, menv) -> + pp (lazy ("begin iteration")); + (* Pi k_par, (Pi H:m=(K_i left_par k_par)), + * (new_)outty right_par (K_i left_par k_par) *) + let infty_pbo, _ = + add_params menv s context cty outty mty m i in + pp + (lazy ("CASE: infty_pbo: "^ NCicPp.ppterm + ~context ~metasenv ~subst infty_pbo)); + let expty_pbo, eqs = (* k is (K_i left_par k_par) *) + add_params menv s context cty new_outty mty m i in + pp + (lazy ("CASE: expty_pbo: "^ NCicPp.ppterm + ~context ~metasenv ~subst expty_pbo)); + let pbo = add_lambda_for_refl_m pbo eqs cty in + pp + (lazy ("CASE: pbo: " ^ NCicPp.ppterm + ~context ~metasenv ~subst pbo)); + let metasenv, subst, pbo, _ = + try_coercions rdb ~localise menv s context pbo + orig_t (*??*) infty_pbo expty_pbo perform_unification exc + in + pp + (lazy ("CASE: pbo2: " ^ NCicPp.ppterm + ~context ~metasenv ~subst pbo)); + (i-1, pbo::acc, subst, metasenv)) + cl pl (List.length pl, [], subst, metasenv) + in + (*let metasenv, subst = + try + NCicUnification.unify rdb metasenv subst context outty new_outty + with _ -> raise (RefineFailure (lazy (localise orig_t, "try_coercions"))) + in*) + let new_outty = add_pi_for_refl_m context new_outty mty m leftno rno in + pp (lazy ("CASE: new_outty: " ^ (NCicPp.ppterm + ~metasenv ~subst ~context new_outty))); + let right_tys = + List.map + (fun t -> NCicTypeChecker.typeof ~subst ~metasenv context t) right_p in + let eqs = + List.map2 (fun x y -> NCic.Appl[eq_refl;x;y]) (right_tys@[mty]) + (right_p@[m]) in + let t = NCic.Appl (NCic.Match(r,new_outty,m,pl) :: eqs) + in + metasenv, subst, t, expty (*}}}*) + | NCic.Prod (nameprod, src, ty),NCic.Prod (_, src2, ty2), _ -> + let rec mk_fresh_name ctx firstch n = + let candidate = (String.make 1 firstch) ^ (string_of_int n) in + if (List.for_all (fun (s,_) -> s <> candidate) ctx) then candidate + else mk_fresh_name ctx firstch (n+1) + in + (*{{{*) pp (lazy "LAM"); + pp (lazy ("LAM: t = " ^ NCicPp.ppterm ~metasenv ~subst ~context t)); + let name_con = mk_fresh_name context 'c' 0 + (*FreshNamesGenerator.mk_fresh_name + ~subst metasenv context ~typ:src2 Cic.Anonymous*) + in + let context_src2 = ((name_con, NCic.Decl src2) :: context) in + (* contravariant part: the argument of f:src->ty *) + let metasenv, subst, rel1, _ = + try_coercions rdb ~localise metasenv subst context_src2 + (NCic.Rel 1) orig_t (NCicSubstitution.lift 1 src2) + (NCicSubstitution.lift 1 src) perform_unification exc + in + (* covariant part: the result of f(c x); x:src2; (c x):src *) + let name_t, bo = + match t with + | NCic.Lambda (n,_,bo) -> n, cs_subst rel1 (NCicSubstitution.lift_from 2 1 bo) + | _ -> name_con, NCicUntrusted.mk_appl (NCicSubstitution.lift 1 t) [rel1] + in + (* we fix the possible dependency problem in the source ty *) + let ty = cs_subst rel1 (NCicSubstitution.lift_from 2 1 ty) in + let metasenv, subst, bo, _ = + try_coercions rdb ~localise metasenv subst context_src2 + bo orig_t ty ty2 perform_unification exc + in + let coerced = NCic.Lambda (name_t,src2, bo) in + pp (lazy ("LAM: coerced = " ^ NCicPp.ppterm ~metasenv ~subst ~context coerced)); + metasenv, subst, coerced, expty (*}}}*) + | _ -> raise exc + with exc2 -> pp(lazy("try_coercion " ^ NCicPp.ppterm ~metasenv ~subst ~context infty ^ " |---> " ^ NCicPp.ppterm ~metasenv ~subst ~context expty)); @@ -450,29 +801,21 @@ and try_coercions rdb rdb metasenv subst context infty expty) and force_to_sort rdb 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 []))) -> assert false (*CSC: ??? - 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 rdb ~localise metasenv subst context - t orig_t ty (NCic.Sort (NCic.Type - (match NCicEnvironment.get_universes () with - | x::_ -> x - | _ -> assert false))) 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))) + try + let metasenv, subst, ty = + NCicUnification.sortfy (Failure "sortfy") metasenv subst context ty in + metasenv, subst, t, ty + with + Failure _ -> + let ty = NCicReduction.whd ~subst context ty in + try_coercions rdb ~localise metasenv subst context + t orig_t ty (NCic.Sort (NCic.Type + (match NCicEnvironment.get_universes () with + | x::_ -> x + | _ -> assert false))) 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) @@ -664,18 +1007,10 @@ let undebruijnate inductive ref t rev_fl = let typeof_obj rdb ?(localise=fun _ -> Stdpp.dummy_loc) (uri,height,metasenv,subst,obj) = - let check_type metasenv subst context (ty as orig_ty) = (* XXX fattorizza *) - let metasenv, subst, ty, sort = - typeof rdb ~localise metasenv subst context ty None - in - let metasenv, subst, ty, sort = - force_to_sort rdb metasenv subst context ty orig_ty localise sort - in - metasenv, subst, ty, sort - in match obj with - | C.Constant (relevance, name, bo, ty , attr) -> - let metasenv, subst, ty, _ = check_type metasenv subst [] ty in + | C.Constant (relevance, name, bo, ty, attr) -> + let metasenv, subst, ty = + check_type rdb ~localise metasenv subst [] ty in let metasenv, subst, bo, ty, height = match bo with | Some bo -> @@ -692,7 +1027,8 @@ let typeof_obj 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 metasenv, subst, ty = + check_type rdb ~localise metasenv subst [] ty in let dbo = NCicTypeChecker.debruijn uri len [] ~subst bo in let localise = relocalise localise dbo bo in (name,C.Decl ty)::types, @@ -728,7 +1064,8 @@ let typeof_obj let metasenv,subst,rev_itl,tys = List.fold_left (fun (metasenv,subst,res,ctx) (relevance,n,ty,cl) -> - let metasenv, subst, ty, _ = check_type metasenv subst [] ty in + let metasenv, subst, ty = + check_type rdb ~localise metasenv subst [] ty in metasenv,subst,(relevance,n,ty,cl)::res,(n,NCic.Decl ty)::ctx ) (metasenv,subst,[],[]) itl in let metasenv,subst,itl,_ = @@ -743,7 +1080,8 @@ let typeof_obj try snd (HExtlib.split_nth leftno k_relev) with Failure _ -> k_relev in let te = NCicTypeChecker.debruijn uri len [] ~subst te in - let metasenv, subst, te, _ = check_type metasenv subst tys te in + let metasenv, subst, te = + check_type rdb ~localise metasenv subst tys te in let context,te = NCicReduction.split_prods ~subst tys leftno te in let _,chopped_context_rev = HExtlib.split_nth (List.length tys) (List.rev context) in