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
;;
(* 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 (_,_,arg,_) -> could_reduce status ~subst context arg
+ | 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
;;
metasenv,subst,t
;;
+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 status ~metasenv ~subst ~context t));
ppterm status ~metasenv ~subst ~context t));
let (metasenv, subst), t =
try
- NCicMetaSubst.delift status
- ~unify:(fun m s c t1 t2 ->
- let ind = !indent in
- let res =
- try Some (unify status 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));
NCic.Implicit (`Typeof _) ->
let (metasenv, subst), ty_t =
try
- NCicMetaSubst.delift status
- ~unify:(fun m s c t1 t2 ->
- let ind = !indent in
- let res = try Some (unify status 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));
subst)
(*D*) in outside None; rc with exn -> outside (Some exn); raise exn
-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 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
+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))
+ 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 status 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 =
- 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
- 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->
- (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
+ 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 status 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 status 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 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 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 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 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 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 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 _,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 status 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
+ 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 =
+ 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 *)
+ 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 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 ->
+ 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
- (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 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 status 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 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
- 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
+ let metasenv, subst =
+ unify status test_eq_only metasenv subst context
+ (C.Meta (i,l)) lambda_Mj swap
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 t1 t2 swap
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 t1 || could_reduce 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
- 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 status metasenv subst context t1 t2))
- in
- let try_hints metasenv subst (_,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 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 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
- in
- let put_in_whd m1 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
- 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 status t1) (norm2,NCicReduction.unwind status t2)
+ (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
- in
+ 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
=
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 test_eq_only metasenv subst m1 m2, cont
+ 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 metasenv subst
+ 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
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
| UnificationFailure _ | Uncertain _ when (not (norm1 && norm2))
-> unif_machines metasenv subst (small_delta_step ~subst m1 m2)
| UnificationFailure msg
- when could_reduce (NCicReduction.unwind status (fst m1))
- || could_reduce (NCicReduction.unwind status (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
let lc = List.rev args @ mk_irl (List.length context) (List.length args+1) in
let (metasenv, subst), t =
try
- NCicMetaSubst.delift status
- ~unify:(fun m s c t1 t2 ->
- let ind = !indent in
- let res =
- try Some (unify status 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
projects / helm.git / blobdiff