let (===) x y = Pervasives.compare x y = 0 ;;
-let mk_msg metasenv subst context t1 t2 =
+let mk_msg (status:#NCic.status) metasenv subst context t1 t2 =
(lazy (
- "Can't unify " ^ NCicPp.ppterm ~metasenv ~subst ~context t1 ^
- " with " ^ NCicPp.ppterm ~metasenv ~subst ~context t2))
+ "Can't unify " ^ status#ppterm ~metasenv ~subst ~context t1 ^
+ " with " ^ status#ppterm ~metasenv ~subst ~context t2))
-let mk_appl ~upto hd tl =
- NCicReduction.head_beta_reduce ~upto
+let mk_appl status ~upto hd tl =
+ NCicReduction.head_beta_reduce status ~upto
(match hd with
| NCic.Appl l -> NCic.Appl (l@tl)
| _ -> NCic.Appl (hd :: tl))
exception WrongShape;;
-let eta_reduce subst t =
+let eta_reduce status subst t =
let delift_if_not_occur body =
try
- Some (NCicSubstitution.psubst ~avoid_beta_redexes:true
+ Some (NCicSubstitution.psubst status ~avoid_beta_redexes:true
(fun () -> raise WrongShape) [()] body)
with WrongShape -> None
in
| NCic.Meta (i,lc) as t->
(try
let _,_,t,_ = NCicUtils.lookup_subst i subst in
- let t = NCicSubstitution.subst_meta lc t in
+ let t = NCicSubstitution.subst_meta status lc t in
eat_lambdas ctx t
with NCicUtils.Subst_not_found _ -> ctx, t)
| t -> ctx, t
match !times with time1::tl -> times := tl; time1 | [] -> assert false in
prerr_endline ("}}} " ^ !indent ^ " " ^ string_of_float (time2 -. time1));
(match exc_opt with
+ | Some (UnificationFailure msg) -> prerr_endline ("exception raised: NCicUnification.UnificationFailure:" ^ Lazy.force msg)
+ | Some (Uncertain msg) -> prerr_endline ("exception raised: NCicUnification.Uncertain:" ^ Lazy.force msg)
| Some e -> prerr_endline ("exception raised: " ^ Printexc.to_string e)
| None -> ());
try
end
;;
-let ppcontext ~metasenv ~subst c =
- "\nctx:\n"^ NCicPp.ppcontext ~metasenv ~subst c
+let ppcontext status ~metasenv ~subst c =
+ "\nctx:\n"^ status#ppcontext ~metasenv ~subst c
;;
-let ppmetasenv ~subst m = "\nmenv:\n" ^ NCicPp.ppmetasenv ~subst m;;
+let ppmetasenv status ~subst m = "\nmenv:\n" ^ status#ppmetasenv ~subst m;;
-let ppcontext ~metasenv:_metasenv ~subst:_subst _context = "";;
-let ppmetasenv ~subst:_subst _metasenv = "";;
-let ppterm ~metasenv ~subst ~context = NCicPp.ppterm ~metasenv ~subst ~context;;
-(* let ppterm ~metasenv:_ ~subst:_ ~context:_ _ = "";; *)
+let ppcontext _status ~metasenv:_metasenv ~subst:_subst _context = "";;
+let ppmetasenv _status ~subst:_subst _metasenv = "";;
+let ppterm (status:#NCic.status) ~metasenv ~subst ~context = status#ppterm ~metasenv ~subst ~context;;
+(* let ppterm status ~metasenv:_ ~subst:_ ~context:_ _ = "";; *)
let is_locked n subst =
try
| C.Appl [] | C.LetIn _ | C.Implicit _ -> assert false
;;
-let rec lambda_intros rdb metasenv subst context argsno ty =
- pp (lazy ("LAMBDA INTROS: " ^ ppterm ~metasenv ~subst ~context ty));
+let rec lambda_intros status metasenv subst context argsno ty =
+ pp (lazy ("LAMBDA INTROS: " ^ ppterm status ~metasenv ~subst ~context ty));
match argsno with
0 ->
let metasenv, _, bo, _ =
in
metasenv, bo
| _ ->
- (match NCicReduction.whd ~subst context ty with
+ (match NCicReduction.whd status ~subst context ty with
C.Prod (n,so,ta) ->
let metasenv,bo =
- lambda_intros rdb metasenv subst
+ lambda_intros status metasenv subst
((n,C.Decl so)::context) (argsno - 1) ta
in
metasenv,C.Lambda (n,so,bo)
let unopt exc = function None -> raise exc | Some x -> x ;;
-let fix metasenv subst is_sup test_eq_only exc t =
+let fix (status:#NCic.status) metasenv subst is_sup test_eq_only exc t =
(*D*) inside 'f'; try let rc =
- pp (lazy (NCicPp.ppterm ~metasenv ~subst ~context:[] t));
+ pp (lazy (status#ppterm ~metasenv ~subst ~context:[] t));
let rec aux test_eq_only metasenv = function
| NCic.Prod (n,so,ta) ->
let metasenv,so = aux true metasenv so in
let metasenv, _ = NCicMetaSubst.extend_meta metasenv n in
metasenv, orig)
| t ->
- NCicUntrusted.map_term_fold_a (fun _ x -> x) test_eq_only aux metasenv t
+ NCicUntrusted.map_term_fold_a status (fun _ x -> x) test_eq_only aux metasenv t
in
aux test_eq_only metasenv t
(*D*) in outside None; rc with exn -> outside (Some exn); raise exn
metasenv,subst
;;
-let rec sortfy exc metasenv subst context t =
- let t = NCicReduction.whd ~subst context t in
+let rec sortfy status exc metasenv subst context t =
+ let t = NCicReduction.whd status ~subst context t in
let metasenv,subst =
match t with
| NCic.Sort _ -> metasenv, subst
| NCic.Implicit (`Typeof _) ->
metasenv_to_subst n (`IsSort,[],ty) metasenv subst
| ty ->
- let metasenv,subst,ty = sortfy exc metasenv subst context ty in
+ let metasenv,subst,ty = sortfy status exc metasenv subst context ty in
metasenv_to_subst n (`IsSort,[],ty) metasenv subst)
| NCic.Implicit _ -> assert false
| _ -> raise exc
in
metasenv,subst,t
-let tipify exc metasenv subst context t ty =
+let tipify status exc metasenv subst context t ty =
let is_type attrs =
match NCicUntrusted.kind_of_meta attrs with
`IsType | `IsSort -> true
metasenv,subst,true
else
let _,cc,ty = NCicUtils.lookup_meta n metasenv in
- let metasenv,subst,ty = sortfy exc metasenv subst cc ty in
+ let metasenv,subst,ty = sortfy status exc metasenv subst cc ty in
let metasenv =
NCicUntrusted.replace_in_metasenv n
(fun attrs,cc,_ -> NCicUntrusted.set_kind `IsType attrs, cc, ty)
metasenv,subst,true
else
let _,cc,_,ty = NCicUtils.lookup_subst n subst in
- let metasenv,subst,ty = sortfy exc metasenv subst cc ty in
+ let metasenv,subst,ty = sortfy status exc metasenv subst cc ty in
let subst =
NCicUntrusted.replace_in_subst n
(fun attrs,cc,bo,_->NCicUntrusted.set_kind `IsType attrs,cc,bo,ty)
subst
in
- optimize_meta metasenv subst (NCicSubstitution.subst_meta lc bo))
+ optimize_meta metasenv subst (NCicSubstitution.subst_meta status lc bo))
| _ -> metasenv,subst,false
in
let metasenv,subst,b = optimize_meta metasenv subst t in
if b then
metasenv,subst,t
else
- let metasenv,subst,_ = sortfy exc metasenv subst context ty in
+ let metasenv,subst,_ = sortfy status exc metasenv subst context ty in
metasenv,subst,t
;;
-let rec instantiate rdb test_eq_only metasenv subst context n lc t swap =
+let rec instantiate status test_eq_only metasenv subst context n lc t swap =
(*D*) inside 'I'; try let rc =
- pp (lazy(string_of_int n^" :=?= "^ppterm ~metasenv ~subst ~context t));
+ pp (lazy(string_of_int n^" :=?= "^ppterm status ~metasenv ~subst ~context t));
let exc =
- UnificationFailure (mk_msg metasenv subst context (NCic.Meta (n,lc)) t) in
+ UnificationFailure (mk_msg status metasenv subst context (NCic.Meta (n,lc)) t) in
let move_to_subst i ((_,cc,t,_) as infos) metasenv subst =
let metasenv = List.remove_assoc i metasenv in
- pp(lazy(string_of_int n ^ " :==> "^ ppterm ~metasenv ~subst ~context:cc t));
+ pp(lazy(string_of_int n ^ " :==> "^ ppterm status ~metasenv ~subst ~context:cc t));
metasenv, (i,infos) :: subst
in
let delift_to_subst test_eq_only n lc (attrs,cc,ty) t context metasenv subst =
pp (lazy(string_of_int n ^ " := 111 = "^
- ppterm ~metasenv ~subst ~context t));
+ ppterm status ~metasenv ~subst ~context t));
let (metasenv, subst), t =
try
- NCicMetaSubst.delift
+ NCicMetaSubst.delift status
~unify:(fun m s c t1 t2 ->
let ind = !indent in
let res =
- try Some (unify rdb test_eq_only m s c t1 t2 false)
+ try Some (unify status test_eq_only m s c t1 t2 false)
with UnificationFailure _ | Uncertain _ -> None
in
indent := ind; res)
raise (UnificationFailure msg)
in
pp (lazy(string_of_int n ^ " := 222 = "^
- ppterm ~metasenv ~subst ~context:cc t^ppmetasenv ~subst metasenv));
+ ppterm status ~metasenv ~subst ~context:cc t^ppmetasenv status ~subst metasenv));
(* Unifying the types may have already instantiated n. *)
try
let _, _,oldt,_ = NCicUtils.lookup_subst n subst in
- let oldt = NCicSubstitution.subst_meta lc oldt in
- let t = NCicSubstitution.subst_meta lc t in
+ let oldt = NCicSubstitution.subst_meta status lc oldt in
+ let t = NCicSubstitution.subst_meta status lc t in
(* conjecture: always fail --> occur check *)
- unify rdb test_eq_only metasenv subst context t oldt false
+ unify status test_eq_only metasenv subst context t oldt false
with NCicUtils.Subst_not_found _ ->
move_to_subst n (attrs,cc,t,ty) metasenv subst
in
let attrs,cc,ty = NCicUtils.lookup_meta n metasenv in
let kind = NCicUntrusted.kind_of_meta attrs in
- let metasenv,t = fix metasenv subst swap test_eq_only exc t in
- let ty_t = NCicTypeChecker.typeof ~metasenv ~subst context t in
+ let metasenv,t = fix status metasenv subst swap test_eq_only exc t in
+ let ty_t = NCicTypeChecker.typeof status ~metasenv ~subst context t in
let metasenv,subst,t =
match kind with
- `IsSort -> sortfy exc metasenv subst context t
- | `IsType -> tipify exc metasenv subst context t ty_t
+ `IsSort -> sortfy status exc metasenv subst context t
+ | `IsType -> tipify status exc metasenv subst context t ty_t
| `IsTerm -> metasenv,subst,t in
match kind with
| `IsSort ->
| _, NCic.Meta _
| NCic.Meta _, NCic.Sort _ ->
pp (lazy ("On the types: " ^
- ppterm ~metasenv ~subst ~context ty ^ "=<=" ^
- ppterm ~metasenv ~subst ~context ty_t));
+ ppterm status ~metasenv ~subst ~context ty ^ "=<=" ^
+ ppterm status ~metasenv ~subst ~context ty_t));
let metasenv, subst =
- unify rdb false metasenv subst context ty_t ty false in
+ unify status false metasenv subst context ty_t ty false in
delift_to_subst test_eq_only n lc (attrs,cc,ty) t
context metasenv subst
| _ -> assert false)
NCic.Implicit (`Typeof _) ->
let (metasenv, subst), ty_t =
try
- NCicMetaSubst.delift
+ NCicMetaSubst.delift status
~unify:(fun m s c t1 t2 ->
let ind = !indent in
- let res = try Some (unify rdb test_eq_only m s c t1 t2 false )
+ let res = try Some (unify status test_eq_only m s c t1 t2 false )
with UnificationFailure _ | Uncertain _ -> None
in
indent := ind; res)
delift_to_subst test_eq_only n lc (attrs,cc,ty_t) t context metasenv
subst
| _ ->
- let lty = NCicSubstitution.subst_meta lc ty in
+ let lty = NCicSubstitution.subst_meta status lc ty in
pp (lazy ("On the types: " ^
- ppterm ~metasenv ~subst ~context lty ^ "=<=" ^
- ppterm ~metasenv ~subst ~context ty_t));
+ ppterm status ~metasenv ~subst ~context ty_t ^ "=<=" ^
+ ppterm status ~metasenv ~subst ~context lty));
let metasenv, subst =
- unify rdb false metasenv subst context ty_t lty false
+ unify status false metasenv subst context ty_t lty false
in
delift_to_subst test_eq_only n lc (attrs,cc,ty) t context metasenv
subst)
(*D*) in outside None; rc with exn -> outside (Some exn); raise exn
-and unify rdb test_eq_only metasenv subst context t1 t2 swap =
+and unify status test_eq_only metasenv subst context t1 t2 swap =
(*D*) inside 'U'; try let rc =
let fo_unif test_eq_only metasenv subst (norm1,t1) (norm2,t2) =
(*D*) inside 'F'; try let rc =
- pp (lazy(" " ^ ppterm ~metasenv ~subst ~context t1 ^
+ pp (lazy(" " ^ ppterm status ~metasenv ~subst ~context t1 ^
(if swap then " ==>?== "
else " ==<?==" ) ^
- ppterm ~metasenv ~subst ~context t2 ^ ppmetasenv
+ ppterm status ~metasenv ~subst ~context t2 ^ ppmetasenv status
~subst metasenv));
- pp (lazy(" " ^ ppterm ~metasenv ~subst:[] ~context t1 ^
+ pp (lazy(" " ^ ppterm status ~metasenv ~subst:[] ~context t1 ^
(if swap then " ==>??== "
else " ==<??==" ) ^
- ppterm ~metasenv ~subst:[] ~context t2 ^ ppmetasenv
+ ppterm status ~metasenv ~subst:[] ~context t2 ^ ppmetasenv status
~subst metasenv));
if t1 === t2 then
metasenv, subst
| (C.Sort (C.Type a), C.Sort (C.Type b)) when not test_eq_only ->
let a, b = if swap then b,a else a,b in
if NCicEnvironment.universe_leq a b then metasenv, subst
- else raise (UnificationFailure (mk_msg metasenv subst context t1 t2))
+ else raise (UnificationFailure (mk_msg status metasenv subst context t1 t2))
| (C.Sort (C.Type a), C.Sort (C.Type b)) ->
if NCicEnvironment.universe_eq a b then metasenv, subst
- else raise (UnificationFailure (mk_msg metasenv subst context t1 t2))
+ else raise (UnificationFailure (mk_msg status metasenv subst context t1 t2))
| (C.Sort C.Prop,C.Sort (C.Type _)) when not swap ->
if (not test_eq_only) then metasenv, subst
- else raise (UnificationFailure (mk_msg metasenv subst context t1 t2))
+ else raise (UnificationFailure (mk_msg status metasenv subst context t1 t2))
| (C.Sort (C.Type _), C.Sort C.Prop) when swap ->
if (not test_eq_only) then metasenv, subst
- else raise (UnificationFailure (mk_msg metasenv subst context t1 t2))
+ else raise (UnificationFailure (mk_msg status metasenv subst context t1 t2))
| (C.Lambda (name1,s1,t1), C.Lambda(_,s2,t2))
| (C.Prod (name1,s1,t1), C.Prod(_,s2,t2)) ->
- let metasenv, subst = unify rdb true metasenv subst context s1 s2 swap in
- unify rdb test_eq_only metasenv subst ((name1, C.Decl s1)::context) t1 t2 swap
+ let metasenv, subst = unify status true metasenv subst context s1 s2 swap in
+ unify status test_eq_only metasenv subst ((name1, C.Decl s1)::context) t1 t2 swap
| (C.LetIn (name1,ty1,s1,t1), C.LetIn(_,ty2,s2,t2)) ->
- let metasenv,subst=unify rdb test_eq_only metasenv subst context ty1 ty2 swap in
- let metasenv,subst=unify rdb test_eq_only metasenv subst context s1 s2 swap in
+ let metasenv,subst=unify status test_eq_only metasenv subst context ty1 ty2 swap in
+ let metasenv,subst=unify status test_eq_only metasenv subst context s1 s2 swap in
let context = (name1, C.Def (s1,ty1))::context in
- unify rdb test_eq_only metasenv subst context t1 t2 swap
+ unify status test_eq_only metasenv subst context t1 t2 swap
| (C.Meta (n1,(s1,l1 as lc1)),C.Meta (n2,(s2,l2 as lc2))) when n1 = n2 ->
(try
(fun t1 t2 (metasenv, subst, to_restrict, i) ->
try
let metasenv, subst =
- unify rdb (*test_eq_only*) true metasenv subst context
- (NCicSubstitution.lift s1 t1) (NCicSubstitution.lift s2 t2)
+ unify status (*test_eq_only*) true metasenv subst context
+ (NCicSubstitution.lift status s1 t1) (NCicSubstitution.lift status s2 t2)
swap
in
metasenv, subst, to_restrict, i-1
in
if to_restrict <> [] then
let metasenv, subst, _, _ =
- NCicMetaSubst.restrict metasenv subst n1 to_restrict
+ NCicMetaSubst.restrict status metasenv subst n1 to_restrict
in
metasenv, subst
else metasenv, subst
| NCicMetaSubst.MetaSubstFailure msg ->
try
let _,_,term,_ = NCicUtils.lookup_subst n1 subst in
- let term1 = NCicSubstitution.subst_meta lc1 term in
- let term2 = NCicSubstitution.subst_meta lc2 term in
- unify rdb test_eq_only metasenv subst context term1 term2 swap
+ let term1 = NCicSubstitution.subst_meta status lc1 term in
+ let term2 = NCicSubstitution.subst_meta status lc2 term in
+ unify status test_eq_only metasenv subst context term1 term2 swap
with NCicUtils.Subst_not_found _-> raise (UnificationFailure msg))
| NCic.Appl (NCic.Meta (i,_)::_ as l1),
(try
List.fold_left2
(fun (metasenv, subst) t1 t2 ->
- unify rdb (*test_eq_only*) true metasenv subst context t1
+ unify status (*test_eq_only*) true metasenv subst context t1
t2 swap)
(metasenv,subst) l1 l2
with Invalid_argument _ ->
- raise (UnificationFailure (mk_msg metasenv subst context t1 t2)))
+ raise (UnificationFailure (mk_msg status metasenv subst context t1 t2)))
| _, NCic.Meta (n, _) when is_locked n subst && not swap->
(let (metasenv, subst), i =
- match NCicReduction.whd ~subst context t1 with
+ match NCicReduction.whd status ~subst context t1 with
| NCic.Appl (NCic.Meta (i,l) as meta :: args) ->
let metasenv, lambda_Mj =
- lambda_intros rdb metasenv subst context (List.length args)
- (NCicTypeChecker.typeof ~metasenv ~subst context meta)
+ lambda_intros status metasenv subst context (List.length args)
+ (NCicTypeChecker.typeof status ~metasenv ~subst context meta)
in
- unify rdb test_eq_only metasenv subst context
+ unify status test_eq_only metasenv subst context
(C.Meta (i,l)) lambda_Mj false,
i
| NCic.Meta (i,_) -> (metasenv, subst), i
raise (UnificationFailure (lazy "Locked term vs non
flexible term; probably not saturated enough yet!"))
in
- let t1 = NCicReduction.whd ~subst context t1 in
+ let t1 = NCicReduction.whd status ~subst context t1 in
let j, lj =
match t1 with NCic.Meta (j,l) -> j, l | _ -> assert false
in
let metasenv, subst =
- instantiate rdb test_eq_only metasenv subst context j lj t2 true
+ instantiate status test_eq_only metasenv subst context j lj t2 true
in
(* We need to remove the out_scope_tags to avoid propagation of
them that triggers again the ad-hoc case *)
in
(try
let name, ctx, term, ty = NCicUtils.lookup_subst i subst in
- let term = eta_reduce subst term in
+ let term = eta_reduce status subst term in
let subst = List.filter (fun (j,_) -> j <> i) subst in
metasenv, ((i, (name, ctx, term, ty)) :: subst)
with Not_found -> assert false))
| NCic.Meta (n, _), _ when is_locked n subst && swap ->
- unify rdb test_eq_only metasenv subst context t2 t1 false
+ unify status test_eq_only metasenv subst context t2 t1 false
| t, C.Meta (n,lc) when List.mem_assoc n subst ->
let _,_,term,_ = NCicUtils.lookup_subst n subst in
- let term = NCicSubstitution.subst_meta lc term in
- unify rdb test_eq_only metasenv subst context t term swap
+ let term = NCicSubstitution.subst_meta status lc term in
+ unify status test_eq_only metasenv subst context t term swap
| C.Meta (n,_), _ when List.mem_assoc n subst ->
- unify rdb test_eq_only metasenv subst context t2 t1 (not swap)
+ unify status test_eq_only metasenv subst context t2 t1 (not swap)
| _, NCic.Appl (NCic.Meta (i,l)::args) when List.mem_assoc i subst ->
let _,_,term,_ = NCicUtils.lookup_subst i subst in
- let term = NCicSubstitution.subst_meta l term in
- unify rdb test_eq_only metasenv subst context t1
- (mk_appl ~upto:(List.length args) term args) swap
+ let term = NCicSubstitution.subst_meta status l term in
+ unify status test_eq_only metasenv subst context t1
+ (mk_appl status ~upto:(List.length args) term args) swap
| NCic.Appl (NCic.Meta (i,_)::_), _ when List.mem_assoc i subst ->
- unify rdb test_eq_only metasenv subst context t2 t1 (not swap)
+ unify status test_eq_only metasenv subst context t2 t1 (not swap)
| C.Meta (n,_), C.Meta (m,lc') when
let _,cc1,_ = NCicUtils.lookup_meta n metasenv in
let len1 = List.length cc1 in
let len2 = List.length cc2 in
len2 < len1 && cc2 = fst (HExtlib.split_nth len2 cc1) ->
- instantiate rdb test_eq_only metasenv subst context m lc'
- (NCicReduction.head_beta_reduce ~subst t1) (not swap)
+ instantiate status test_eq_only metasenv subst context m lc'
+ (NCicReduction.head_beta_reduce status ~subst t1) (not swap)
+ | C.Meta (n,lc), C.Meta (m,lc') when
+ let _,_,tyn = NCicUtils.lookup_meta n metasenv in
+ let _,_,tym = NCicUtils.lookup_meta m metasenv in
+ let tyn = NCicSubstitution.subst_meta status lc tyn in
+ let tym = NCicSubstitution.subst_meta status lc tym in
+ match tyn,tym with
+ NCic.Sort NCic.Type u1, NCic.Sort NCic.Type u2 ->
+ NCicEnvironment.universe_lt u1 u2
+ | _,_ -> false ->
+ instantiate status test_eq_only metasenv subst context m lc'
+ (NCicReduction.head_beta_reduce status ~subst t1) (not swap)
| C.Meta (n,lc), t ->
- instantiate rdb test_eq_only metasenv subst context n lc
- (NCicReduction.head_beta_reduce ~subst t) swap
+ instantiate status test_eq_only metasenv subst context n lc
+ (NCicReduction.head_beta_reduce status ~subst t) swap
| t, C.Meta (n,lc) ->
- instantiate rdb test_eq_only metasenv subst context n lc
- (NCicReduction.head_beta_reduce ~subst t) (not swap)
+ instantiate status test_eq_only metasenv subst context n lc
+ (NCicReduction.head_beta_reduce status ~subst t) (not swap)
+ (* higher order unification case *)
| NCic.Appl (NCic.Meta (i,l) as meta :: args), _ ->
- let metasenv, lambda_Mj =
- lambda_intros rdb metasenv subst context (List.length args)
- (NCicTypeChecker.typeof ~metasenv ~subst context meta)
- in
- let metasenv, subst =
- unify rdb test_eq_only metasenv subst context
- (C.Meta (i,l)) lambda_Mj swap
- in
- let metasenv, subst =
- unify rdb test_eq_only metasenv subst context t1 t2 swap
- in
- (try
- let name, ctx, term, ty = NCicUtils.lookup_subst i subst in
- let term = eta_reduce subst term in
- let subst = List.filter (fun (j,_) -> j <> i) subst in
- metasenv, ((i, (name, ctx, term, ty)) :: subst)
- with Not_found -> assert false)
+ (* this easy_case handles "(? ?) =?= (f a)", same number of
+ * args, preferring the instantiation "f" over "\_.f a" for the
+ * metavariable in head position. Since the arguments of the meta
+ * are flexible, delift would ignore them generating a constant
+ * function even in the easy case above *)
+ let easy_case =
+ match t2 with
+ | NCic.Appl (f :: f_args)
+ when
+ List.exists (NCicMetaSubst.is_flexible status context ~subst) args ->
+ let mlen = List.length args in
+ let flen = List.length f_args in
+ let min_len = min mlen flen in
+ let mhe,margs = HExtlib.split_nth (mlen - min_len) args in
+ let fhe,fargs = HExtlib.split_nth (flen - min_len) f_args in
+ (try
+ Some (List.fold_left2
+ (fun (m, s) t1 t2 ->
+ unify status test_eq_only m s context t1 t2 swap
+ ) (metasenv,subst)
+ ((NCicUntrusted.mk_appl meta mhe)::margs)
+ ((NCicUntrusted.mk_appl f fhe)::fargs))
+ with UnificationFailure _ | Uncertain _ | KeepReducing _ ->
+ None)
+ | _ -> None
+ in
+ (match easy_case with
+ | Some ms -> ms
+ | None ->
+ (* This case handles "(?_f ..ti..) =?= t2", abstracting every
+ * non flexible ti (delift skips local context items that are
+ * flexible) from t2 in two steps:
+ * 1) ?_f := \..xi.. .?
+ * 2) ?_f ..ti.. =?= t2 --unif_machines-->
+ ?_f[..ti..] =?= t2 --instantiate-->
+ delift [..ti..] t2 *)
+ let metasenv, lambda_Mj =
+ lambda_intros status metasenv subst context (List.length args)
+ (NCicTypeChecker.typeof status ~metasenv ~subst context meta)
+ in
+ let metasenv, subst =
+ unify status test_eq_only metasenv subst context
+ (C.Meta (i,l)) lambda_Mj swap
+ in
+ let metasenv, subst =
+ unify status test_eq_only metasenv subst context t1 t2 swap
+ in
+ (try
+ let name, ctx, term, ty = NCicUtils.lookup_subst i subst in
+ let term = eta_reduce status subst term in
+ let subst = List.filter (fun (j,_) -> j <> i) subst in
+ metasenv, ((i, (name, ctx, term, ty)) :: subst)
+ with Not_found -> assert false))
+
| _, NCic.Appl (NCic.Meta (_,_) :: _) ->
- unify rdb test_eq_only metasenv subst context t2 t1 (not swap)
+ unify status test_eq_only metasenv subst context t2 t1 (not swap)
(* processing this case here we avoid a useless small delta step *)
| (C.Appl ((C.Const r1) as _hd1::tl1), C.Appl (C.Const r2::tl2))
when Ref.eq r1 r2 ->
- let relevance = NCicEnvironment.get_relevance r1 in
+ let relevance = NCicEnvironment.get_relevance status r1 in
let metasenv, subst, _ =
try
List.fold_left2
let b, relevance =
match relevance with b::tl -> b,tl | _ -> true, [] in
let metasenv, subst =
- try unify rdb test_eq_only metasenv subst context t1 t2
+ try unify status test_eq_only metasenv subst context t1 t2
swap
with UnificationFailure _ | Uncertain _ when not b ->
metasenv, subst
(metasenv, subst, relevance) tl1 tl2
with
Invalid_argument _ ->
- raise (Uncertain (mk_msg metasenv subst context t1 t2))
+ raise (Uncertain (mk_msg status metasenv subst context t1 t2))
| KeepReducing _ | KeepReducingThis _ -> assert false
in
metasenv, subst
| (C.Match (Ref.Ref (_,Ref.Ind (_,tyno,_)) as ref1,outtype1,term1,pl1),
C.Match (ref2,outtype2,term2,pl2)) when Ref.eq ref1 ref2 ->
- let _,_,itl,_,_ = NCicEnvironment.get_checked_indtys ref1 in
+ let _,_,itl,_,_ = NCicEnvironment.get_checked_indtys status ref1 in
let _,_,ty,_ = List.nth itl tyno in
let rec remove_prods ~subst context ty =
- let ty = NCicReduction.whd ~subst context ty in
+ let ty = NCicReduction.whd status ~subst context ty in
match ty with
| C.Sort _ -> ty
| C.Prod (name,so,ta) ->
| _ -> false
in
(* if not (Ref.eq ref1 ref2) then
- raise (Uncertain (mk_msg metasenv subst context t1 t2))
+ raise (Uncertain (mk_msg status metasenv subst context t1 t2))
else*)
let metasenv, subst =
- unify rdb test_eq_only metasenv subst context outtype1 outtype2 swap in
+ unify status test_eq_only metasenv subst context outtype1 outtype2 swap in
let metasenv, subst =
- try unify rdb test_eq_only metasenv subst context term1 term2 swap
+ try unify status test_eq_only metasenv subst context term1 term2 swap
with UnificationFailure _ | Uncertain _ when is_prop ->
metasenv, subst
in
(try
List.fold_left2
(fun (metasenv,subst) t1 t2 ->
- unify rdb test_eq_only metasenv subst context t1 t2 swap)
+ unify status test_eq_only metasenv subst context t1 t2 swap)
(metasenv, subst) pl1 pl2
with Invalid_argument _ -> assert false)
| (C.Implicit _, _) | (_, C.Implicit _) -> assert false
| _ when norm1 && norm2 ->
if (could_reduce t1 || could_reduce t2) then
- raise (Uncertain (mk_msg metasenv subst context t1 t2))
+ raise (Uncertain (mk_msg status metasenv subst context t1 t2))
else
- raise (UnificationFailure (mk_msg metasenv subst context t1 t2))
- | _ -> raise (KeepReducing (mk_msg metasenv subst context t1 t2))
+ raise (UnificationFailure (mk_msg status metasenv subst context t1 t2))
+ | _ -> raise (KeepReducing (mk_msg status metasenv subst context t1 t2))
(*D*) in outside None; rc with exn -> outside (Some exn); raise exn
in
let fo_unif test_eq_only metasenv subst (norm1,t1 as nt1) (norm2,t2 as nt2)=
try fo_unif test_eq_only metasenv subst nt1 nt2
with
UnificationFailure _ | Uncertain _ when not norm1 || not norm2 ->
- raise (KeepReducing (mk_msg metasenv subst context t1 t2))
+ raise (KeepReducing (mk_msg status metasenv subst context t1 t2))
in
let try_hints metasenv subst (_,t1 as mt1) (_,t2 as mt2) (* exc*) =
- if NCicUntrusted.metas_of_term subst context t1 = [] &&
- NCicUntrusted.metas_of_term subst context t2 = []
+ if NCicUntrusted.metas_of_term status subst context t1 = [] &&
+ NCicUntrusted.metas_of_term status subst context t2 = []
then None
else begin
(*D*) inside 'H'; try let rc =
pp(lazy ("\nProblema:\n" ^
- ppterm ~metasenv ~subst ~context t1 ^ " =?= " ^
- ppterm ~metasenv ~subst ~context t2));
+ ppterm status ~metasenv ~subst ~context t1 ^ " =?= " ^
+ ppterm status ~metasenv ~subst ~context t2));
let candidates =
- NCicUnifHint.look_for_hint rdb metasenv subst context t1 t2
+ NCicUnifHint.look_for_hint status metasenv subst context t1 t2
in
let rec cand_iter = function
| [] -> None (* raise exc *)
String.concat "\n"
(List.map
(fun (a,b) ->
- ppterm ~metasenv ~subst ~context a ^ " =?= " ^
- ppterm ~metasenv ~subst ~context b) premises) ^
+ ppterm status ~metasenv ~subst ~context a ^ " =?= " ^
+ ppterm status ~metasenv ~subst ~context b) premises) ^
"\n-------------------------------------------\n"^
- ppterm ~metasenv ~subst ~context c1 ^ " = " ^
- ppterm ~metasenv ~subst ~context c2));
+ ppterm status ~metasenv ~subst ~context c1 ^ " = " ^
+ ppterm status ~metasenv ~subst ~context c2));
try
(*D*) inside 'K'; try let rc =
let metasenv,subst =
let metasenv,subst =
List.fold_left
(fun (metasenv, subst) (x,y) ->
- unify rdb test_eq_only metasenv subst context x y false)
+ unify status test_eq_only metasenv subst context x y false)
(metasenv, subst) (List.rev premises)
in
pp(lazy("FUNZIONA!"));
end
in
let put_in_whd m1 m2 =
- NCicReduction.reduce_machine ~delta:max_int ~subst context m1,
- NCicReduction.reduce_machine ~delta:max_int ~subst context m2
+ NCicReduction.reduce_machine status ~delta:max_int ~subst context m1,
+ NCicReduction.reduce_machine status ~delta:max_int ~subst context m2
in
let fo_unif_w_hints test_eq_only metasenv subst (_,t1 as m1) (_,t2 as m2) =
try fo_unif test_eq_only metasenv subst m1 m2
in
match
try_hints metasenv subst
- (norm1,NCicReduction.unwind t1) (norm2,NCicReduction.unwind t2)
+ (norm1,NCicReduction.unwind status t1) (norm2,NCicReduction.unwind status t2)
with
| Some x -> x
| None ->
let (t1,norm1),(t2,norm2) = hm1, hm2 in
match
try_hints metasenv subst
- (norm1,NCicReduction.unwind t1) (norm2,NCicReduction.unwind t2)
+ (norm1,NCicReduction.unwind status t1) (norm2,NCicReduction.unwind status t2)
with
| Some x -> x, fun x -> x
| None ->
=
assert (not (norm1 && norm2));
if norm1 then
- x1,NCicReduction.reduce_machine ~delta:0 ~subst context m2
+ x1,NCicReduction.reduce_machine status ~delta:0 ~subst context m2
else if norm2 then
- NCicReduction.reduce_machine ~delta:0 ~subst context m1,x2
+ NCicReduction.reduce_machine status ~delta:0 ~subst context m1,x2
else
let h1 = height_of t1 in
let h2 = height_of t2 in
let delta = if h1 = h2 then max 0 (h1 -1) else min h1 h2 in
- NCicReduction.reduce_machine ~delta ~subst context m1,
- NCicReduction.reduce_machine ~delta ~subst context m2
+ NCicReduction.reduce_machine status ~delta ~subst context m1,
+ NCicReduction.reduce_machine status ~delta ~subst context m2
in
let rec unif_machines metasenv subst =
function
| ((k1,e1,t1,s1),norm1 as m1),((k2,e2,t2,s2),norm2 as m2) ->
(*D*) inside 'M'; try let rc =
pp (lazy("UM: " ^
- ppterm ~metasenv ~subst ~context
- (NCicReduction.unwind (k1,e1,t1,s1)) ^
+ ppterm status ~metasenv ~subst ~context
+ (NCicReduction.unwind status (k1,e1,t1,s1)) ^
" === " ^
- ppterm ~metasenv ~subst ~context
- (NCicReduction.unwind (k2,e2,t2,s2))));
+ ppterm status ~metasenv ~subst ~context
+ (NCicReduction.unwind status (k2,e2,t2,s2))));
pp (lazy (string_of_bool norm1 ^ " ?? " ^ string_of_bool norm2));
- let relevance = [] (* TO BE UNDERSTOOD
+ let relevance =
match t1 with
- | C.Const r -> NCicEnvironment.get_relevance r
- | _ -> [] *) in
+ | C.Const r -> NCicEnvironment.get_relevance status r
+ | _ -> [] in
let unif_from_stack (metasenv, subst) (t1, t2, b) =
try
let t1 = NCicReduction.from_stack ~delta:max_int t1 in
match l1,l2,r with
| x1::tl1, x2::tl2, r::tr-> check_stack tl1 tl2 tr ((x1,x2,r)::todo)
| x1::tl1, x2::tl2, []-> check_stack tl1 tl2 [] ((x1,x2,true)::todo)
- | l1, l2, _ ->
- NCicReduction.unwind (k1,e1,t1,List.rev l1),
- NCicReduction.unwind (k2,e2,t2,List.rev l2),
+ | l1, l2, _ ->
+ NCicReduction.unwind status (k1,e1,t1,List.rev l1),
+ NCicReduction.unwind status (k2,e2,t2,List.rev l2),
todo
in
let check_stack l1 l2 r =
match t1, t2 with
| NCic.Meta _, _ | _, NCic.Meta _ ->
- (NCicReduction.unwind (k1,e1,t1,s1)),
- (NCicReduction.unwind (k2,e2,t2,s2)),[]
+ (NCicReduction.unwind status (k1,e1,t1,s1)),
+ (NCicReduction.unwind status (k2,e2,t2,s2)),[]
| _ -> check_stack l1 l2 r []
in
- let hh1,hh2,todo = check_stack (List.rev s1) (List.rev s2) relevance in
+ let hh1,hh2,todo =
+ check_stack (List.rev s1) (List.rev s2) (List.rev relevance) in
try
fo_unif_heads_and_cont_or_unwind_and_hints
test_eq_only metasenv subst (norm1,hh1) (norm2,hh2)
| KeepReducing _ -> assert false
| KeepReducingThis _ ->
assert (not (norm1 && norm2));
- unif_machines metasenv subst (small_delta_step ~subst m1 m2)
+ unif_machines metasenv subst (small_delta_step ~subst m1 m2)
| UnificationFailure _ | Uncertain _ when (not (norm1 && norm2))
-> unif_machines metasenv subst (small_delta_step ~subst m1 m2)
| UnificationFailure msg
- when could_reduce (NCicReduction.unwind (fst m1))
- || could_reduce (NCicReduction.unwind (fst m2))
+ when could_reduce (NCicReduction.unwind status (fst m1))
+ || could_reduce (NCicReduction.unwind status (fst m2))
-> raise (Uncertain msg)
(*D*) in outside None; rc with exn -> outside (Some exn); raise exn
in
(*D*) in outside None; rc with KeepReducing _ -> assert false | exn -> outside (Some exn); raise exn
-and delift_type_wrt_terms rdb metasenv subst context t args =
+and delift_type_wrt_terms status 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
+ NCicMetaSubst.delift status
~unify:(fun m s c t1 t2 ->
let ind = !indent in
let res =
- try Some (unify rdb false m s c t1 t2 false)
+ try Some (unify status false m s c t1 t2 false)
with UnificationFailure _ | Uncertain _ -> None
in
indent := ind; res)
;;
-let unify rdb ?(test_eq_only=false) ?(swap=false) metasenv subst context t1 t2=
+let unify status ?(test_eq_only=false) ?(swap=false) metasenv subst context t1 t2=
indent := "";
- unify rdb test_eq_only metasenv subst context t1 t2 swap;;
+ unify status test_eq_only metasenv subst context t1 t2 swap;;
-let fix_sorts m s =
- fix m s true false (UnificationFailure (lazy "no sup"))
+let fix_sorts status m s =
+ fix status m s true false (UnificationFailure (lazy "no sup"))
;;