exception Uncertain of string Lazy.t;;
exception AssertFailure of string Lazy.t;;
-let refiner_typeof =
- ref (fun _ ?localise _ _ _ _ _ -> ignore localise; assert false);;
-let set_refiner_typeof f = refiner_typeof := f
-;;
-
let (===) x y = Pervasives.compare x y = 0 ;;
let uncert_exc metasenv subst context t1 t2 =
module C = NCic;;
module Ref = NReference;;
+let debug = false;;
let indent = ref "";;
-let inside c = indent := !indent ^ String.make 1 c;;
-let outside () =
+let pp =
+ if debug then
+ fun s -> prerr_endline (Printf.sprintf "%-20s" !indent ^ " " ^ Lazy.force s)
+ else
+ fun _ -> ()
+;;
+let inside c =
+ indent := !indent ^ String.make 1 c;
+ if debug then prerr_endline ("{{{" ^ !indent ^ " ")
+;;
+let outside ok =
+ if debug then prerr_endline "}}}";
+ if not ok then pp (lazy "exception raised!");
try
indent := String.sub !indent 0 (String.length !indent -1)
with
Invalid_argument _ -> indent := "??"; ()
;;
-let pp s =
- prerr_endline (Printf.sprintf "%-20s" !indent ^ " " ^ Lazy.force s)
+let ppcontext ~metasenv ~subst c =
+ "\nctx:\n"^ NCicPp.ppcontext ~metasenv ~subst c
;;
+let ppmetasenv ~subst m = "\nmenv:\n" ^ NCicPp.ppmetasenv ~subst m;;
-let ppcontext = NCicPp.ppcontext;;
-let ppmetasenv = NCicPp.ppmetasenv;;
+let ppcontext ~metasenv:_metasenv ~subst:_subst _context = "";;
+let ppmetasenv ~subst:_subst _metasenv = "";;
-let ppcontext ~metasenv:_metasenv ~subst:_subst _context = "...";;
-let ppmetasenv ~subst:_subst _metasenv = "...";;
-
-let pp _ = ();;
-
-let fix_sorts swap metasenv subst context meta t =
+let fix_sorts swap exc t =
let rec aux () = function
| NCic.Sort (NCic.Type u) as orig ->
if swap then
match NCicEnvironment.sup u with
- | None -> prerr_endline "no sup for" ;
- raise (fail_exc metasenv subst context meta t)
+ | None ->
+ prerr_endline ("no sup for " ^ NCicPp.ppterm ~metasenv:[] ~subst:[] ~context:[] orig) ;
+ raise exc
| Some u1 -> if u = u1 then orig else NCic.Sort (NCic.Type u1)
else
NCic.Sort (NCic.Type (
let is_locked n subst =
try
match NCicUtils.lookup_subst n subst with
- | Some tag, _,_,_ when NCicMetaSubst.is_out_scope_tag tag -> true
+ | tag, _,_,_ when NCicMetaSubst.is_out_scope_tag tag -> true
| _ -> false
with NCicUtils.Subst_not_found _ -> false
;;
-let rec mk_irl =
+let rec mk_irl stop base =
+ if base > stop then []
+ else (NCic.Rel base) :: mk_irl stop (base+1)
+;;
+
+(* the argument must be a term in whd *)
+let rec could_reduce =
function
- 0 -> []
- | n -> NCic.Rel n :: mk_irl (n-1)
+ | C.Meta _ -> true
+ | C.Appl (C.Const (Ref.Ref (_,Ref.Fix (_,recno,_)))::args)
+ when List.length args > recno -> could_reduce (List.nth args recno)
+ | C.Match (_,_,arg,_) -> could_reduce arg
+ | C.Appl (he::_) -> could_reduce he
+ | C.Sort _ | C.Rel _ | C.Prod _ | C.Lambda _ | C.Const _ -> false
+ | C.Appl [] | C.LetIn _ | C.Implicit _ -> assert false
;;
let rec lambda_intros rdb metasenv subst context t args =
List.map
(fun arg -> arg, NCicTypeChecker.typeof ~metasenv ~subst context arg) args in
let context_of_args = context in
- let mk_appl = function [] -> assert false | [t] -> t | l -> NCic.Appl l in
let rec mk_lambda metasenv subst context n processed_args = function
| [] ->
let metasenv, _, bo, _ =
in
metasenv, subst, bo
| (arg,ty)::tail ->
+ pp(lazy("arg{ " ^
+ NCicPp.ppterm ~metasenv ~subst ~context:context_of_args arg ^ " : " ^
+ NCicPp.ppterm ~metasenv ~subst ~context:context_of_args ty));
+ let metasenv, subst, telescopic_ty =
+ if processed_args = [] then metasenv, subst, ty else
+ let _ = pp(lazy("delift")) in
+ delift_type_wrt_terms rdb metasenv subst context
+ (NCicSubstitution.lift n ty)
+ (List.map (NCicSubstitution.lift n) (List.rev processed_args))
+ in
+ pp(lazy("arg} "^NCicPp.ppterm ~metasenv ~subst ~context telescopic_ty));
let name = "HBeta"^string_of_int n in
- let metasenv,_,instance,_ =
- NCicMetaSubst.mk_meta metasenv context_of_args `Term in
- let meta_applied = mk_appl (instance::List.rev processed_args) in
-let metasenv,subst,_,_ =
- !refiner_typeof ((rdb :> NRstatus.status)#set_coerc_db NCicCoercion.empty_db) metasenv subst context_of_args meta_applied None
-in
- let metasenv,subst =
- unify rdb true metasenv subst context_of_args meta_applied ty in
- let telescopic_ty = NCicSubstitution.lift n instance in
- let telescopic_ty =
- mk_appl (telescopic_ty :: mk_irl (List.length processed_args)) in
let metasenv, subst, bo =
mk_lambda metasenv subst ((name,NCic.Decl telescopic_ty)::context) (n+1)
(arg::processed_args) tail
in
metasenv, subst, NCic.Lambda (name, telescopic_ty, bo)
in
- mk_lambda metasenv subst context 0 [] argsty
+ pp(lazy("LAMBDA_INTROS{ " ^
+ NCicPp.ppterm ~metasenv ~subst ~context t ^ ":" ^
+ NCicPp.ppterm ~metasenv ~subst ~context tty ^ " over " ^
+ String.concat "," (List.map (NCicPp.ppterm ~metasenv ~subst ~context)args)));
+ let rc = mk_lambda metasenv subst context 0 [] argsty in
+ pp(lazy("LAMBDA_INTROS}"));
+ rc
and instantiate rdb test_eq_only metasenv subst context n lc t swap =
(*D*) inside 'I'; try let rc =
if swap then unify rdb test_eq_only m s c t2 t1
else unify rdb test_eq_only m s c t1 t2
in
- let name, ctx, ty = NCicUtils.lookup_meta n metasenv in
+ let has_tag = List.exists in
+ let tags, _, ty = NCicUtils.lookup_meta n metasenv in
+ (* on the types *)
let metasenv, subst, t =
match ty with
| NCic.Implicit (`Typeof _) ->
- metasenv,subst, t
- (* fix_sorts swap metasenv subst context (NCic.Meta(n,lc)) t *)
+ pp(lazy("meta with no type"));
+ assert(has_tag ((=)`IsSort) tags);
+ metasenv, subst, t
| _ ->
- pp (lazy (
- "typeof: " ^ NCicPp.ppterm ~metasenv ~subst ~context t ^ "\nctx:\n"^
- ppcontext ~metasenv ~subst context ^ "\nmenv:\n"^
- ppmetasenv ~subst metasenv));
+ let exc_to_be = fail_exc metasenv subst context (NCic.Meta (n,lc)) t in
let t, ty_t =
try t, NCicTypeChecker.typeof ~subst ~metasenv context t
with
- | NCicTypeChecker.AssertFailure msg ->
- (pp (lazy "fine typeof (fallimento)");
- let ft=fix_sorts swap metasenv subst context (NCic.Meta (n,lc)) t in
- if ft == t then
- (prerr_endline ( ("ILLTYPED: " ^
- NCicPp.ppterm ~metasenv ~subst ~context t
- ^ "\nBECAUSE:" ^ Lazy.force msg ^ "\nCONTEXT:\n" ^
- ppcontext ~metasenv ~subst context ^ "\nMENV:\n" ^
- ppmetasenv ~subst metasenv
- ));
- assert false)
- else
- try
- pp (lazy ("typeof: " ^
- NCicPp.ppterm ~metasenv ~subst ~context ft));
- ft, NCicTypeChecker.typeof ~subst ~metasenv context ft
- with NCicTypeChecker.AssertFailure _ ->
- assert false)
+ | NCicTypeChecker.AssertFailure msg as exn ->
+ pp(lazy("we try to fix the sort\n"^
+ Lazy.force msg^"\n"^NCicPp.ppmetasenv ~subst metasenv));
+ let ft = fix_sorts swap exc_to_be t in
+ pp(lazy("unable to fix the sort"));
+ if ft == t then raise exn;
+ (try ft, NCicTypeChecker.typeof ~subst ~metasenv context ft
+ with NCicTypeChecker.AssertFailure _ -> raise exn)
| NCicTypeChecker.TypeCheckerFailure msg ->
prerr_endline (Lazy.force msg);
- pp msg; assert false
+ prerr_endline (NCicPp.ppterm ~metasenv ~subst ~context t);
+ prerr_endline (ppcontext ~metasenv ~subst context);
+ prerr_endline (ppmetasenv ~subst metasenv);
+ assert false
in
- let lty = NCicSubstitution.subst_meta lc ty in
match ty_t with
- | NCic.Implicit _ ->
- raise (UnificationFailure
- (lazy "trying to unify a term with a type"))
- | ty_t ->
+ | NCic.Implicit (`Typeof _) ->
+ raise (UnificationFailure(lazy "trying to unify a term with a type"))
+ | _ ->
+ let lty = NCicSubstitution.subst_meta lc ty in
pp (lazy ("On the types: " ^
- NCicPp.ppterm ~metasenv ~subst ~context:ctx ty ^ " ~~~ " ^
- NCicPp.ppterm ~metasenv ~subst ~context lty ^ " === "
- ^ NCicPp.ppterm ~metasenv ~subst ~context ty_t));
+ NCicPp.ppterm ~metasenv ~subst ~context lty ^ " === " ^
+ NCicPp.ppterm ~metasenv ~subst ~context ty_t));
let metasenv,subst =
- unify test_eq_only metasenv subst context lty ty_t in
- metasenv, subst, t
+ try unify test_eq_only metasenv subst context lty ty_t
+ with NCicEnvironment.BadConstraint _ as exc ->
+ let ty_t = fix_sorts swap exc_to_be ty_t in
+ try unify test_eq_only metasenv subst context lty ty_t
+ with
+ | NCicEnvironment.BadConstraint _
+ | UnificationFailure _ -> raise exc
+ in
+ metasenv, subst, t
+ in
+ (* viral sortification *)
+ let is_sort metasenv subst context t =
+ match NCicReduction.whd ~subst context t with
+ | NCic.Meta (i,_) ->
+ let tags, _, _ = NCicUtils.lookup_meta i metasenv in
+ has_tag ((=) `IsSort) tags
+ | NCic.Sort _ -> true
+ | _ -> false
in
- pp (lazy(string_of_int n ^ " := 111 = "^
- NCicPp.ppterm ~metasenv ~subst ~context t));
+ let rec sortify metasenv subst = function
+ | NCic.Implicit (`Typeof _) -> assert false
+ | NCic.Sort _ as t -> metasenv, subst, t, 0
+ | NCic.Meta (i,_) as t ->
+ let tags, context, ty = NCicUtils.lookup_meta i metasenv in
+ if has_tag ((=) `IsSort) tags then metasenv, subst, t, i
+ else
+ let ty = NCicReduction.whd ~subst context ty in
+ let metasenv, subst, ty, _ = sortify metasenv subst ty in
+ let metasenv, j, m, _ =
+ NCicMetaSubst.mk_meta metasenv ~attrs:[`IsSort] [] (`WithType ty)
+ in
+ pp(lazy("rimpiazzo " ^ string_of_int i^" con "^string_of_int j));
+ let subst_entry = i, (tags, context, m, ty) in
+ let subst = subst_entry :: subst in
+ let metasenv = List.filter (fun x,_ -> i <> x) metasenv in
+ metasenv, subst, m, j
+ | NCic.Appl (NCic.Meta _ as hd :: args) as t ->
+ let metasenv, subst, lambda_Mj =
+ lambda_intros rdb metasenv subst context t args
+ in
+ let metasenv,subst= unify true metasenv subst context hd lambda_Mj in
+ let t = NCicReduction.whd ~subst context t in
+ let _result = sortify metasenv subst t in
+ (* untested, maybe dead, code *) assert false;
+ | t ->
+ if could_reduce t then raise (Uncertain(lazy "not a sort"))
+ else raise (UnificationFailure(lazy "not a sort"))
+ in
+ let metasenv, subst, _, n =
+ if has_tag ((=) `IsSort) tags then
+ let m,s,x,_ = sortify metasenv subst (NCicReduction.whd ~subst context t)
+ in m,s,x,n
+ else if is_sort metasenv subst context t then
+ sortify metasenv subst (NCic.Meta (n,lc))
+ else
+ metasenv, subst, NCic.Rel ~-1,n
+ in
+ let tags, ctx, ty = NCicUtils.lookup_meta n metasenv in
+ (* instantiation *)
+ pp (lazy(string_of_int n ^ " := 111 = "^
+ NCicPp.ppterm ~metasenv ~subst ~context t));
let (metasenv, subst), t =
try
NCicMetaSubst.delift
in
pp (lazy(string_of_int n ^ " := 222 = "^
NCicPp.ppterm ~metasenv ~subst ~context:ctx t
- ^ "\n" ^ ppmetasenv ~subst metasenv));
+ ^ ppmetasenv ~subst metasenv));
(* Unifying the types may have already instantiated n. *)
try
let _, _,oldt,_ = NCicUtils.lookup_subst n subst in
(* conjecture: always fail --> occur check *)
unify test_eq_only metasenv subst context oldt t
with NCicUtils.Subst_not_found _ ->
+ let metasenv, tags =
+ let rec aux = function
+ | NCic.Meta (j,lc) ->
+ (try
+ let _, _, t, _ = NCicUtils.lookup_subst j subst in
+ aux (NCicSubstitution.subst_meta lc t)
+ with NCicUtils.Subst_not_found _ ->
+ let tags', ctx, ty = NCicUtils.lookup_meta j metasenv in
+ let metasenv = List.remove_assoc j metasenv in
+ let tags = tags @ tags' in
+ (j, (tags, ctx, ty)) :: metasenv, tags)
+ | _ -> metasenv, tags
+ in
+ aux t
+ in
(* by cumulativity when unify(?,Type_i)
* we could ? := Type_j with j <= i... *)
- let subst = (n, (name, ctx, t, ty)) :: subst in
+ let subst = (n, (tags, ctx, t, ty)) :: subst in
pp (lazy ("?"^string_of_int n^" := "^NCicPp.ppterm
~metasenv ~subst ~context (NCicSubstitution.subst_meta lc t)));
let metasenv =
List.filter (fun (m,_) -> not (n = m)) metasenv
in
metasenv, subst
- (*D*) in outside(); rc with exn -> outside (); raise exn
+ (*D*) in outside true; rc with exn -> outside false; raise exn
and unify rdb test_eq_only metasenv subst context t1 t2 =
(*D*) inside 'U'; try let rc =
let fo_unif test_eq_only metasenv subst t1 t2 =
(*D*) inside 'F'; try let rc =
pp (lazy(" " ^ NCicPp.ppterm ~metasenv ~subst ~context t1 ^ " ==?== " ^
- NCicPp.ppterm ~metasenv ~subst ~context t2 ^ "\n" ^ ppmetasenv
+ NCicPp.ppterm ~metasenv ~subst ~context t2 ^ ppmetasenv
~subst metasenv));
if t1 === t2 then
metasenv, subst
(C.Meta (i,l)) lambda_Mj,
i
| NCic.Meta (i,_) -> (metasenv, subst), i
- | _ -> assert false
+ | _ ->
+ raise (UnificationFailure (lazy "Locked term vs non
+ flexible term; probably not saturated enough yet!"))
in
let t1 = NCicReduction.whd ~subst context t1 in
let j, lj =
let subst =
List.map (fun (i,(tag,ctx,bo,ty)) ->
let tag =
- match tag with
- Some tag when
- tag = NCicMetaSubst.in_scope_tag
- || NCicMetaSubst.is_out_scope_tag tag -> None
- | _ -> tag
+ List.filter
+ (function `InScope | `OutScope _ -> false | _ -> true) tag
in
i,(tag,ctx,bo,ty)
) subst
(fun (metasenv,subst) ->
unify rdb test_eq_only metasenv subst context)
(metasenv, subst) pl1 pl2
- with Invalid_argument _ ->
- raise (uncert_exc metasenv subst context t1 t2))
+ with Invalid_argument _ -> assert false)
| (C.Implicit _, _) | (_, C.Implicit _) -> assert false
| _ when NCicUntrusted.metas_of_term subst context t1 = [] &&
NCicUntrusted.metas_of_term subst context t2 = [] ->
raise (fail_exc metasenv subst context t1 t2)
| _ -> raise (uncert_exc metasenv subst context t1 t2)
- (*D*) in outside(); rc with exn -> outside (); raise exn
+ (*D*) in outside true; rc with exn -> outside false; raise exn
in
let try_hints metasenv subst t1 t2 (* exc*) =
+ (*D*) inside 'H'; try let rc =
(*
prerr_endline ("\nProblema:\n" ^
NCicPp.ppterm ~metasenv ~subst ~context t1 ^ " =?= " ^
let rec cand_iter = function
| [] -> None (* raise exc *)
| (metasenv,(c1,c2),premises)::tl ->
-(*
- prerr_endline ("\nProvo il candidato:\n" ^
+ pp (lazy ("\nProvo il candidato:\n" ^
String.concat "\n"
(List.map
(fun (a,b) ->
NCicPp.ppterm ~metasenv ~subst ~context b) premises) ^
"\n-------------------------------------------\n"^
NCicPp.ppterm ~metasenv ~subst ~context c1 ^ " = " ^
- NCicPp.ppterm ~metasenv ~subst ~context c2);
-*)
+ NCicPp.ppterm ~metasenv ~subst ~context c2));
try
+ (*D*) inside 'K'; try let rc =
let metasenv,subst =
fo_unif test_eq_only metasenv subst t1 c1 in
let metasenv,subst =
(metasenv, subst) premises
in
Some (metasenv, subst)
+ (*D*) in outside true; rc with exn -> outside false; raise exn
with
UnificationFailure _ | Uncertain _ ->
cand_iter tl
in
cand_iter candidates
+ (*D*) in outside true; rc with exn -> outside false; raise exn
in
let height_of = function
| NCic.Const (Ref.Ref (_,Ref.Def h))
| _ -> [] *) in
let unif_from_stack t1 t2 b metasenv subst =
try
- let t1 = NCicReduction.from_stack t1 in
- let t2 = NCicReduction.from_stack t2 in
+ let t1 = NCicReduction.from_stack ~delta:max_int t1 in
+ let t2 = NCicReduction.from_stack ~delta:max_int t2 in
unif_machines metasenv subst (put_in_whd t1 t2)
with UnificationFailure _ | Uncertain _ when not b ->
metasenv, subst
) (metasenv,subst) todo
with UnificationFailure _ | Uncertain _ when not (norm1 && norm2) ->
unif_machines metasenv subst (small_delta_step ~subst m1 m2)
- (*D*) in outside(); rc with exn -> outside (); raise exn
+ (*D*) in outside true; rc with exn -> outside false; raise exn
in
try fo_unif test_eq_only metasenv subst t1 t2
with
with
| UnificationFailure _ -> raise (UnificationFailure msg)
| Uncertain _ -> raise exn
- (*D*) in outside(); rc with exn -> outside (); raise exn
+ (*D*) in outside true; rc with exn -> outside false; raise exn
+
+and delift_type_wrt_terms rdb metasenv subst context t args =
+ let lc = List.rev args @ mk_irl (List.length context) (List.length args+1) in
+ let (metasenv, subst), t =
+ try
+ NCicMetaSubst.delift
+ ~unify:(fun m s c t1 t2 ->
+ let ind = !indent in
+ let res =
+ try Some (unify rdb false m s c t1 t2 )
+ with UnificationFailure _ | Uncertain _ -> None
+ in
+ indent := ind; res)
+ metasenv subst context 0 (0,NCic.Ctx lc) t
+ with NCicMetaSubst.MetaSubstFailure _ -> (metasenv, subst), t
+ in
+ metasenv, subst, t
;;
+
let unify rdb ?(test_eq_only=false) =
indent := "";
unify rdb test_eq_only;;
+
+let fix_sorts = fix_sorts true (UnificationFailure (lazy "no sup"));;
projects / helm.git / blobdiff