string Lazy.t * (NCicReduction.machine * bool) *
(NCicReduction.machine * bool) ;;
-let (===) x y = Pervasives.compare x y = 0 ;;
+let (===) x y = Stdlib.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
let time2 = Unix.gettimeofday () in
let time1 =
match !times with time1::tl -> times := tl; time1 | [] -> assert false in
- prerr_endline ("}}} " ^ string_of_float (time2 -. time1));
+ 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
;;
(* the argument must be a term in whd *)
-let rec could_reduce =
+let rec could_reduce status ~subst context =
function
| 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
+ when List.length args > recno ->
+ let t = NCicReduction.whd status ~subst context (List.nth args recno) in
+ could_reduce status ~subst context t
+ | C.Match (_,_,he,_) ->
+ let he = NCicReduction.whd status ~subst context he in
+ could_reduce status ~subst context he
+ | C.Appl (he::_) -> could_reduce status ~subst context 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 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 indfy status exc metasenv subst context t =
+ let t = NCicReduction.whd status ~subst context t in
+ let metasenv,subst =
+ match t with
+ | NCic.Const (Ref.Ref (_, Ref.Ind _))
+ | NCic.Appl (NCic.Const (Ref.Ref (_, Ref.Ind _))::_) -> metasenv, subst
+(*
+ | NCic.Meta (n,_) ->
+ let attrs, context, ty = NCicUtils.lookup_meta n metasenv in
+ let kind = NCicUntrusted.kind_of_meta attrs in
+ if kind = `IsSort then
+ metasenv,subst
+ else
+ (match ty with
+ | NCic.Implicit (`Typeof _) ->
+ metasenv_to_subst n (`IsSort,[],ty) metasenv subst
+ | ty ->
+ 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 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)
+ (fun (attrs,cc,_) -> NCicUntrusted.set_kind `IsType attrs, cc, ty)
metasenv
in
metasenv,subst,false
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)
+ (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 put_in_whd status subst context m1 m2 =
+ NCicReduction.reduce_machine status ~delta:max_int ~subst context m1,
+ NCicReduction.reduce_machine status ~delta:max_int ~subst context m2
+;;
+
+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
- ~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)
- with UnificationFailure _ | Uncertain _ -> None
- in
- indent := ind; res)
+ NCicMetaSubst.delift status ~unify:(unify_for_delift status)
metasenv subst context n lc t
with NCicMetaSubst.Uncertain msg ->
pp (lazy ("delift is uncertain: " ^ Lazy.force msg));
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
- ~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 )
- with UnificationFailure _ | Uncertain _ -> None
- in
- indent := ind; res)
+ NCicMetaSubst.delift status ~unify:(unify_for_delift status)
metasenv subst context n lc ty_t
with NCicMetaSubst.Uncertain msg ->
pp (lazy ("delift is uncertain: " ^ Lazy.force msg));
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 =
- (*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 ^
- (if swap then " ==>?== "
- else " ==<?==" ) ^
- ppterm ~metasenv ~subst ~context t2 ^ ppmetasenv
- ~subst metasenv));
- pp (lazy(" " ^ ppterm ~metasenv ~subst:[] ~context t1 ^
- (if swap then " ==>??== "
- else " ==<??==" ) ^
- ppterm ~metasenv ~subst:[] ~context t2 ^ ppmetasenv
- ~subst metasenv));
- if t1 === t2 then
- metasenv, subst
+and fo_unif_w_hints during_delift status swap test_eq_only metasenv subst context (_,t1 as m1) (_,t2 as m2) =
+ try fo_unif during_delift status swap test_eq_only metasenv subst context m1 m2
+ with
+ | UnificationFailure _ as exn -> raise exn
+ | KeepReducing _ | Uncertain _ as exn ->
+ let (t1,norm1 as tm1),(t2,norm2 as tm2) =
+ put_in_whd status subst context (0,[],t1,[]) (0,[],t2,[])
+ in
+ match
+ try_hints status swap test_eq_only metasenv subst context
+ (norm1,NCicReduction.unwind status t1) (norm2,NCicReduction.unwind status t2)
+ with
+ | Some x -> x
+ | None ->
+ match exn with
+ | KeepReducing msg -> raise (KeepReducingThis (msg,tm1,tm2))
+ | Uncertain _ as exn -> raise exn
+ | _ -> assert false
+
+and unify_for_delift status metasenv subst context t1 t2 =
+ let ind = !indent in
+ let res =
+ try Some
+ (fo_unif_w_hints true status false true(*test_eq_only*) metasenv subst
+ context (false,t1) (false,t2))
+ (*(unify status true(*test_eq_only*) metasenv subst
+ context t1 t2 false)*)
+ with UnificationFailure _ | Uncertain _ | KeepReducingThis _ -> None
+ in
+ indent := ind; res
+
+and fo_unif0 during_delift status swap test_eq_only metasenv subst context (norm1,t1 as m1) (norm2,t2 as m2) =
+ (*D*) inside 'F'; try let rc =
+ pp (lazy(" " ^ ppterm status ~metasenv ~subst ~context t1 ^
+ (if swap then " ==>?== "
+ else " ==<?==" ) ^
+ ppterm status ~metasenv ~subst ~context t2 ^ ppmetasenv status
+ ~subst metasenv));
+ pp (lazy(" " ^ ppterm status ~metasenv ~subst:[] ~context t1 ^
+ (if swap then " ==>??== "
+ else " ==<??==" ) ^
+ ppterm status ~metasenv ~subst:[] ~context t2 ^ ppmetasenv status
+ ~subst metasenv));
+ if t1 === t2 then
+ metasenv, subst
(* CSC: To speed up Oliboni's stuff. Why is it necessary, anyway?
else if
NCicUntrusted.metas_of_term subst context t1 = [] &&
else
raise (UnificationFailure (lazy "Closed terms not convertible"))
*)
- else
- match (t1,t2) with
- | C.Appl [_], _ | _, C.Appl [_] | C.Appl [], _ | _, C.Appl []
- | C.Appl (C.Appl _::_), _ | _, C.Appl (C.Appl _::_) ->
- prerr_endline "Appl [Appl _;_] or Appl [] or Appl [_] invariant";
- assert false
- | (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))
- | (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))
- | (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))
- | (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))
-
- | (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
- | (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 context = (name1, C.Def (s1,ty1))::context in
- unify rdb 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
- let l1 = NCicUtils.expand_local_context l1 in
- let l2 = NCicUtils.expand_local_context l2 in
- let metasenv, subst, to_restrict, _ =
- List.fold_right2
- (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)
- swap
- in
- metasenv, subst, to_restrict, i-1
- with UnificationFailure _ | Uncertain _ ->
- metasenv, subst, i::to_restrict, i-1)
- l1 l2 (metasenv, subst, [], List.length l1)
- in
- if to_restrict <> [] then
- let metasenv, subst, _, _ =
- NCicMetaSubst.restrict metasenv subst n1 to_restrict
- in
- metasenv, subst
- else metasenv, subst
- with
- | Invalid_argument _ -> assert false
- | 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
- with NCicUtils.Subst_not_found _-> raise (UnificationFailure msg))
-
- | NCic.Appl (NCic.Meta (i,_)::_ as l1),
- NCic.Appl (NCic.Meta (j,_)::_ as l2) when i=j ->
- (try
- List.fold_left2
- (fun (metasenv, subst) t1 t2 ->
- unify rdb (*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)))
-
- | _, NCic.Meta (n, _) when is_locked n subst && not swap->
- (let (metasenv, subst), i =
- match NCicReduction.whd ~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)
- in
- unify rdb 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 j, lj =
- match t1 with NCic.Meta (j,l) -> j, l | _ -> assert false
- in
+ else
+ match (t1,t2) with
+ | C.Appl [_], _ | _, C.Appl [_] | C.Appl [], _ | _, C.Appl []
+ | C.Appl (C.Appl _::_), _ | _, C.Appl (C.Appl _::_) ->
+ prerr_endline "Appl [Appl _;_] or Appl [] or Appl [_] invariant";
+ assert false
+ | (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 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 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 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 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 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 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 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
+ let l1 = NCicUtils.expand_local_context l1 in
+ let l2 = NCicUtils.expand_local_context l2 in
+ let metasenv, subst, to_restrict, _ =
+ List.fold_right2
+ (fun t1 t2 (metasenv, subst, to_restrict, i) ->
+ try
let metasenv, subst =
- instantiate rdb test_eq_only metasenv subst context j lj t2 true
+ unify status (*test_eq_only*) true metasenv subst context
+ (NCicSubstitution.lift status s1 t1) (NCicSubstitution.lift status s2 t2)
+ swap
in
- (* We need to remove the out_scope_tags to avoid propagation of
- them that triggers again the ad-hoc case *)
- let subst =
- List.map (fun (i,(tag,ctx,bo,ty)) ->
- let tag =
- List.filter
- (function `InScope | `OutScope _ -> false | _ -> true) tag
- in
- i,(tag,ctx,bo,ty)
- ) subst
- 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))
- | NCic.Meta (n, _), _ when is_locked n subst && swap ->
- unify rdb 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
- | C.Meta (n,_), _ when List.mem_assoc n subst ->
- unify rdb 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
- | NCic.Appl (NCic.Meta (i,_)::_), _ when List.mem_assoc i subst ->
- unify rdb 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 _,cc2,_ = NCicUtils.lookup_meta m metasenv in
- (n < m && cc1 = cc2) ||
- 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)
- | C.Meta (n,lc), t ->
- instantiate rdb test_eq_only metasenv subst context n lc
- (NCicReduction.head_beta_reduce ~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)
-
- | 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)
+ metasenv, subst, to_restrict, i-1
+ with UnificationFailure _ | Uncertain _ ->
+ metasenv, subst, i::to_restrict, i-1)
+ l1 l2 (metasenv, subst, [], List.length l1)
+ in
+ if to_restrict <> [] then
+ let metasenv, subst, _, _ =
+ NCicMetaSubst.restrict status metasenv subst n1 to_restrict
+ in
+ metasenv, subst
+ else metasenv, subst
+ with
+ | Invalid_argument _ -> assert false
+ | NCicMetaSubst.MetaSubstFailure msg ->
+ try
+ let _,_,term,_ = NCicUtils.lookup_subst n1 subst in
+ 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),
+ NCic.Appl (NCic.Meta (j,_)::_ as l2) when i=j ->
+ (try
+ List.fold_left2
+ (fun (metasenv, subst) t1 t2 ->
+ unify status (*test_eq_only*) true metasenv subst context t1
+ t2 swap)
+ (metasenv,subst) l1 l2
+ with Invalid_argument _ ->
+ raise (UnificationFailure (mk_msg status metasenv subst context t1 t2)))
+
+ | _, NCic.Meta (n, _) when is_locked n subst && not swap && not during_delift ->
+ (let (metasenv, subst), i =
+ match NCicReduction.whd status ~subst context t1 with
+ | NCic.Appl (NCic.Meta (i,l) as meta :: args) ->
+ let metasenv, lambda_Mj =
+ lambda_intros status metasenv subst context (List.length args)
+ (NCicTypeChecker.typeof status ~metasenv ~subst context meta)
+ in
+ 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 status ~subst context t1 in
+ let j, lj =
+ match t1 with NCic.Meta (j,l) -> j, l | _ -> assert false
in
let metasenv, subst =
- unify rdb test_eq_only metasenv subst context
- (C.Meta (i,l)) lambda_Mj swap
+ instantiate status test_eq_only metasenv subst context j lj t2 true
in
- let metasenv, subst =
- unify rdb test_eq_only metasenv subst context t1 t2 swap
+ (* We need to remove the out_scope_tags to avoid propagation of
+ them that triggers again the ad-hoc case *)
+ let subst =
+ List.map (fun (i,(tag,ctx,bo,ty)) ->
+ let tag =
+ List.filter
+ (function `InScope | `OutScope _ -> false | _ -> true) tag
+ in
+ i,(tag,ctx,bo,ty)
+ ) subst
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.Appl (NCic.Meta (_,_) :: _) ->
- unify rdb 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 metasenv, subst, _ =
- try
- List.fold_left2
- (fun (metasenv, subst, relevance) t1 t2 ->
- 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
- swap
- with UnificationFailure _ | Uncertain _ when not b ->
- metasenv, subst
- in
- metasenv, subst, relevance)
- (metasenv, subst, relevance) tl1 tl2
- with
- Invalid_argument _ ->
- raise (Uncertain (mk_msg 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 _,_,ty,_ = List.nth itl tyno in
- let rec remove_prods ~subst context ty =
- let ty = NCicReduction.whd ~subst context ty in
- match ty with
- | C.Sort _ -> ty
- | C.Prod (name,so,ta) ->
- remove_prods ~subst ((name,(C.Decl so))::context) ta
- | _ -> assert false
+ with Not_found -> assert false))
+ | NCic.Meta (n, _), _ when is_locked n subst && swap ->
+ fo_unif0 during_delift status false test_eq_only metasenv subst context m2 m1
+
+ | _, C.Meta (n,lc) when List.mem_assoc n subst ->
+ let _,_,term,_ = NCicUtils.lookup_subst n subst in
+ let term = NCicSubstitution.subst_meta status lc term in
+ fo_unif0 during_delift status swap test_eq_only metasenv subst context
+ m1 (false,term)
+ | C.Meta (n,_), _ when List.mem_assoc n subst ->
+ fo_unif0 during_delift status (not swap) test_eq_only metasenv subst context m2 m1
+
+ | _, 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 status l term in
+ fo_unif0 during_delift status swap test_eq_only metasenv subst context
+ m1 (false,mk_appl status ~upto:(List.length args) term args)
+ | NCic.Appl (NCic.Meta (i,_)::_), _ when List.mem_assoc i subst ->
+ fo_unif0 during_delift status (not swap) test_eq_only metasenv subst context m2 m1
+
+ | C.Meta (n,_), C.Meta (m,lc') when
+ let _,cc1,_ = NCicUtils.lookup_meta n metasenv in
+ let _,cc2,_ = NCicUtils.lookup_meta m metasenv in
+ (n < m && cc1 = cc2) ||
+ let len1 = List.length cc1 in
+ let len2 = List.length cc2 in
+ len2 < len1 && cc2 = fst (HExtlib.split_nth len2 cc1) ->
+ 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 status test_eq_only metasenv subst context n lc
+ (NCicReduction.head_beta_reduce status ~subst t) swap
+ | t, C.Meta (n,lc) ->
+ 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), _ ->
+ (* 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 is_prop =
- match remove_prods ~subst [] ty with
- | C.Sort C.Prop -> true
- | _ -> false
+ let metasenv, subst =
+ unify status test_eq_only metasenv subst context
+ (C.Meta (i,l)) lambda_Mj swap
in
- (* if not (Ref.eq ref1 ref2) then
- raise (Uncertain (mk_msg metasenv subst context t1 t2))
- else*)
- let metasenv, subst =
- unify rdb 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
- 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)
- (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))
- else
- raise (UnificationFailure (mk_msg metasenv subst context t1 t2))
- | _ -> raise (KeepReducing (mk_msg 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))
- 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 = []
- then None
- else begin
- (*D*) inside 'H'; try let rc =
- pp(lazy ("\nProblema:\n" ^
- ppterm ~metasenv ~subst ~context t1 ^ " =?= " ^
- ppterm ~metasenv ~subst ~context t2));
- let candidates =
- NCicUnifHint.look_for_hint rdb metasenv subst context t1 t2
- in
- let rec cand_iter = function
- | [] -> None (* raise exc *)
- | (metasenv,(c1,c2),premises)::tl ->
- pp (lazy ("\nProvo il candidato:\n" ^
- String.concat "\n"
- (List.map
- (fun (a,b) ->
- ppterm ~metasenv ~subst ~context a ^ " =?= " ^
- ppterm ~metasenv ~subst ~context b) premises) ^
- "\n-------------------------------------------\n"^
- ppterm ~metasenv ~subst ~context c1 ^ " = " ^
- ppterm ~metasenv ~subst ~context c2));
- try
- (*D*) inside 'K'; try let rc =
- let metasenv,subst =
- fo_unif test_eq_only metasenv subst mt1 (false,c1) in
- let metasenv,subst =
- fo_unif test_eq_only metasenv subst (false,c2) mt2 in
- let metasenv,subst =
- List.fold_left
- (fun (metasenv, subst) (x,y) ->
- unify rdb test_eq_only metasenv subst context x y false)
- (metasenv, subst) (List.rev premises)
- in
- pp(lazy("FUNZIONA!"));
- Some (metasenv, subst)
- (*D*) in outside None; rc with exn -> outside (Some exn); raise exn
- with
- KeepReducing _ | UnificationFailure _ | Uncertain _ -> cand_iter tl
- | KeepReducingThis _ -> assert false
- in
- cand_iter candidates
- (*D*) in outside None; rc with exn -> outside (Some exn); raise exn
- 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
- 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
- with
- | UnificationFailure _ as exn -> raise exn
- | KeepReducing _ | Uncertain _ as exn ->
- let (t1,norm1 as tm1),(t2,norm2 as tm2) =
- put_in_whd (0,[],t1,[]) (0,[],t2,[])
- in
- match
- try_hints metasenv subst
- (norm1,NCicReduction.unwind t1) (norm2,NCicReduction.unwind t2)
+ 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 (_,_) :: _) ->
+ fo_unif0 during_delift status (not swap) test_eq_only metasenv subst context m2 m1
+
+ | (C.Appl (hd1::tl1), C.Appl (hd2::tl2)) ->
+ let metasenv,subst =
+ fo_unif0 during_delift status swap test_eq_only metasenv subst context
+ (false,hd1) (false,hd2) in
+ let relevance =
+ match hd1 with
+ | C.Const r -> NCicEnvironment.get_relevance status r
+ | _ -> [] in
+ let metasenv, subst, _ =
+ try
+ List.fold_left2
+ (fun (metasenv, subst, relevance) t1 t2 ->
+ let b, relevance =
+ match relevance with b::tl -> b,tl | _ -> true, [] in
+ let metasenv, subst =
+ try unify status test_eq_only metasenv subst context t1 t2
+ swap
+ with UnificationFailure _ | Uncertain _ when not b ->
+ metasenv, subst
+ in
+ metasenv, subst, relevance)
+ (metasenv, subst, relevance) tl1 tl2
with
- | Some x -> x
- | None ->
- match exn with
- | KeepReducing msg -> raise (KeepReducingThis (msg,tm1,tm2))
- | Uncertain _ as exn -> raise exn
- | _ -> assert false
+ Invalid_argument _ ->
+ 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 status ref1 in
+ let _,_,ty,_ = List.nth itl tyno in
+ let rec remove_prods ~subst context ty =
+ let ty = NCicReduction.whd status ~subst context ty in
+ match ty with
+ | C.Sort _ -> ty
+ | C.Prod (name,so,ta) ->
+ remove_prods ~subst ((name,(C.Decl so))::context) ta
+ | _ -> assert false
+ in
+ let is_prop =
+ match remove_prods ~subst [] ty with
+ | C.Sort C.Prop -> true
+ | _ -> false
+ in
+ (* if not (Ref.eq ref1 ref2) then
+ raise (Uncertain (mk_msg status metasenv subst context t1 t2))
+ else*)
+ let metasenv, subst =
+ unify status test_eq_only metasenv subst context outtype1 outtype2 swap in
+ let metasenv, subst =
+ 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 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 status ~subst context t1 || could_reduce status ~subst context t2) then
+ raise (Uncertain (mk_msg status metasenv subst context t1 t2))
+ else
+ 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
+
+and try_hints status swap test_eq_only metasenv subst context (_,t1 as mt1) (_,t2 as mt2) (* exc*) =
+ 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 status ~metasenv ~subst ~context t1 ^ " =?= " ^
+ ppterm status ~metasenv ~subst ~context t2));
+ let candidates =
+ NCicUnifHint.look_for_hint status metasenv subst context t1 t2
+ in
+ let rec cand_iter = function
+ | [] -> None (* raise exc *)
+ | (metasenv,(c1,c2),premises)::tl ->
+ pp (lazy ("\nProvo il candidato:\n" ^
+ String.concat "\n"
+ (List.map
+ (fun (a,b) ->
+ ppterm status ~metasenv ~subst ~context a ^ " =?= " ^
+ ppterm status ~metasenv ~subst ~context b) premises) ^
+ "\n-------------------------------------------\n"^
+ ppterm status ~metasenv ~subst ~context c1 ^ " = " ^
+ ppterm status ~metasenv ~subst ~context c2));
+ try
+(*D*) inside 'K'; try let rc =
+ let metasenv,subst =
+ fo_unif false status swap test_eq_only metasenv subst context mt1 (false,c1) in
+ let metasenv,subst =
+ fo_unif false status swap test_eq_only metasenv subst context (false,c2) mt2 in
+ let metasenv,subst =
+ List.fold_left
+ (fun (metasenv, subst) (x,y) ->
+ unify status test_eq_only metasenv subst context x y false)
+ (metasenv, subst) (List.rev premises)
+ in
+ pp(lazy("FUNZIONA!"));
+ Some (metasenv, subst)
+ (*D*) in outside None; rc with exn -> outside (Some exn); raise exn
+ with
+ KeepReducing _ | UnificationFailure _ | Uncertain _ -> cand_iter tl
+ | KeepReducingThis _ -> assert false
+ in
+ cand_iter candidates
+ (*D*) in outside None; rc with exn -> outside (Some exn); raise exn
+ end
+
+and fo_unif during_delift status swap test_eq_only metasenv subst context (norm1,t1 as nt1) (norm2,t2 as nt2)=
+ try fo_unif0 during_delift status swap test_eq_only metasenv subst context nt1 nt2
+ with
+ UnificationFailure _ | Uncertain _ when not norm1 || not norm2 ->
+ raise (KeepReducing (mk_msg status metasenv subst context t1 t2))
+
+and unify status test_eq_only metasenv subst context t1 t2 swap =
+ (*D*) inside 'U'; try let rc =
+ let fo_unif_heads_and_cont_or_unwind_and_hints
+ test_eq_only metasenv subst m1 m2 cont hm1 hm2
+ =
+ let ms, continuation =
+ (* calling the continuation inside the outermost try is an option
+ and makes unification stronger, but looks not frequent to me
+ that heads unify but not the arguments and that an hints can fix
+ that *)
+ try fo_unif false status swap test_eq_only metasenv subst context m1 m2, cont
+ with
+ | UnificationFailure _
+ | KeepReducing _ | Uncertain _ as exn ->
+ let (t1,norm1),(t2,norm2) = hm1, hm2 in
+ match
+ try_hints status swap test_eq_only metasenv subst context
+ (norm1,NCicReduction.unwind status t1) (norm2,NCicReduction.unwind status t2)
+ with
+ | Some x -> x, fun x -> x
+ | None ->
+ match exn with
+ | KeepReducing msg -> raise (KeepReducingThis (msg,hm1,hm2))
+ | UnificationFailure _ | Uncertain _ as exn -> raise exn
+ | _ -> assert false
+ in
+ continuation ms
in
let height_of = function
| NCic.Const (Ref.Ref (_,Ref.Def h))
=
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
- let unif_from_stack t1 t2 b metasenv subst =
+ | 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
let t2 = NCicReduction.from_stack ~delta:max_int t2 in
- unif_machines metasenv subst (put_in_whd t1 t2)
+ unif_machines metasenv subst (put_in_whd status subst context t1 t2)
with UnificationFailure _ | Uncertain _ when not b ->
metasenv, subst
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 hh1,hh2,todo=check_stack (List.rev s1) (List.rev s2) relevance [] in
+ let check_stack l1 l2 r =
+ match t1, t2 with
+ | NCic.Meta _, _ | _, NCic.Meta _ ->
+ (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) (List.rev relevance) in
try
- let metasenv,subst =
- fo_unif_w_hints test_eq_only metasenv subst (norm1,hh1) (norm2,hh2) in
- List.fold_left
- (fun (metasenv,subst) (x1,x2,r) ->
- unif_from_stack x1 x2 r metasenv subst
- ) (metasenv,subst) todo
+ fo_unif_heads_and_cont_or_unwind_and_hints
+ test_eq_only metasenv subst (norm1,hh1) (norm2,hh2)
+ (fun ms -> List.fold_left unif_from_stack ms todo)
+ m1 m2
with
| 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 status ~subst context (NCicReduction.unwind status (fst m1))
+ || could_reduce status ~subst context (NCicReduction.unwind status (fst m2))
-> raise (Uncertain msg)
(*D*) in outside None; rc with exn -> outside (Some exn); raise exn
in
- try fo_unif_w_hints test_eq_only metasenv subst (false,t1) (false,t2)
+ try fo_unif_w_hints false status swap test_eq_only metasenv subst context (false,t1) (false,t2)
with
| KeepReducingThis (msg,tm1,tm2) ->
(try
(*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
- ~unify:(fun m s c t1 t2 ->
- let ind = !indent in
- let res =
- try Some (unify rdb false m s c t1 t2 false)
- with UnificationFailure _ | Uncertain _ -> None
- in
- indent := ind; res)
- metasenv subst context 0 (0,NCic.Ctx lc) t
+ NCicMetaSubst.delift status ~unify:(unify_for_delift status)
+ metasenv subst context (-1) (0,NCic.Ctx lc) t
with
NCicMetaSubst.MetaSubstFailure _
| NCicMetaSubst.Uncertain _ -> (metasenv, subst), t
;;
-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"))
;;