aux () t
;;
-let rec beta_expand num test_eq_only swap metasenv subst context t arg =
+let rec beta_expand hdb num test_eq_only swap metasenv subst context t arg =
let rec aux (n,context,test_eq_only as k) (metasenv, subst as acc) t' =
try
let metasenv, subst =
if swap then
- unify test_eq_only metasenv subst context t' (NCicSubstitution.lift n arg)
+ unify hdb test_eq_only metasenv subst context t' (NCicSubstitution.lift n arg)
else
- unify test_eq_only metasenv subst context (NCicSubstitution.lift n arg) t'
+ unify hdb test_eq_only metasenv subst context (NCicSubstitution.lift n arg) t'
in
(metasenv, subst), NCic.Rel (1 + n)
with Uncertain _ | UnificationFailure _ ->
with NCicTypeChecker.TypeCheckerFailure _ ->
metasenv, subst, NCic.Lambda ("_", argty, NCicSubstitution.lift 1 arg)
-and beta_expand_many test_equality_only swap metasenv subst context t args =
+and beta_expand_many hdb test_equality_only swap metasenv subst context t args =
(* (*D*) inside 'B'; try let rc = *)
pp (lazy (String.concat ", "
(List.map (NCicPp.ppterm ~metasenv ~subst ~context)
List.fold_right
(fun arg (num,subst,metasenv,t) ->
let metasenv, subst, t =
- beta_expand num test_equality_only swap metasenv subst context t arg
+ beta_expand hdb num test_equality_only swap metasenv subst context t arg
in
num+1,subst,metasenv,t)
args (1,subst,metasenv,t)
metasenv, subst, hd
(* (*D*) in outside (); rc with exn -> outside (); raise exn *)
-and instantiate test_eq_only metasenv subst context n lc t swap =
+and instantiate hdb test_eq_only metasenv subst context n lc t swap =
(*D*) inside 'I'; try let rc =
pp (lazy(string_of_int n ^ " :=?= "^
NCicPp.ppterm ~metasenv ~subst ~context t));
let unify test_eq_only m s c t1 t2 =
- if swap then unify test_eq_only m s c t2 t1
- else unify test_eq_only m s c t1 t2
+ if swap then unify hdb test_eq_only m s c t2 t1
+ else unify hdb test_eq_only m s c t1 t2
in
let name, ctx, ty = NCicUtils.lookup_meta n metasenv in
let metasenv, subst, t =
metasenv, subst
(*D*) in outside(); rc with exn -> outside (); raise exn
-and unify test_eq_only metasenv subst context t1 t2 =
- (*D*) inside 'U'; try let rc =
- let fo_unif test_eq_only metasenv subst t1 t2 =
+and unify hdb test_eq_only metasenv subst context t1 t2 =
+ (*D*) inside 'U'; try let rc =
+ let rec fo_unif test_eq_only metasenv subst t1 t2 =
+ let try_hints metasenv subst context t1 t2 (* exc*) =
+ let candidates = NCicUnifHint.look_for_hint hdb metasenv subst context t1 t2
+ in
+ let rec cand_iter = function
+ | [] -> None (* raise exc *)
+ | (metasenv,c1,c2)::tl ->
+ try
+ prerr_endline (NCicPp.ppterm ~metasenv ~subst ~context t1);
+ prerr_endline (NCicPp.ppterm ~metasenv ~subst ~context c1);
+ prerr_endline (NCicPp.ppterm ~metasenv ~subst ~context t2);
+ prerr_endline (NCicPp.ppterm ~metasenv ~subst ~context c2);
+ let metasenv,subst = fo_unif test_eq_only metasenv subst t1 c1 in
+ let metasenv,subst = fo_unif test_eq_only metasenv subst c2 t2 in
+ Some (fo_unif test_eq_only metasenv subst t1 t2)
+ with
+ UnificationFailure _ | Uncertain _ -> cand_iter tl
+ in
+ cand_iter candidates
+ in
+
(*D*) inside 'F'; try let rc =
pp (lazy(" " ^ NCicPp.ppterm ~metasenv ~subst ~context t1 ^ " === " ^
NCicPp.ppterm ~metasenv ~subst ~context t2));
if t1 === t2 then
metasenv, subst
else
- match (t1,t2) with
- | (C.Sort (C.Type a), C.Sort (C.Type b)) when not test_eq_only ->
- if NCicEnvironment.universe_leq a b then metasenv, subst
- else raise (fail_exc 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 (fail_exc metasenv subst context t1 t2)
- | (C.Sort C.Prop,C.Sort (C.Type _)) ->
- if (not test_eq_only) then metasenv, subst
- else raise (fail_exc 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 true metasenv subst context s1 s2 in
- unify test_eq_only metasenv subst ((name1, C.Decl s1)::context) t1 t2
- | (C.LetIn (name1,ty1,s1,t1), C.LetIn(_,ty2,s2,t2)) ->
- let metasenv,subst=unify test_eq_only metasenv subst context ty1 ty2 in
- let metasenv,subst=unify test_eq_only metasenv subst context s1 s2 in
- let context = (name1, C.Def (s1,ty1))::context in
- unify test_eq_only metasenv subst context t1 t2
-
- | (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 test_eq_only metasenv subst context
- (NCicSubstitution.lift s1 t1) (NCicSubstitution.lift s2 t2)
- 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 test_eq_only metasenv subst context term1 term2
- with NCicUtils.Subst_not_found _-> raise (UnificationFailure msg))
-
- | C.Meta (n,lc), t ->
- (try
- let _,_,term,_ = NCicUtils.lookup_subst n subst in
- let term = NCicSubstitution.subst_meta lc term in
- unify test_eq_only metasenv subst context term t
- with NCicUtils.Subst_not_found _->
- instantiate test_eq_only metasenv subst context n lc t false)
-
- | t, C.Meta (n,lc) ->
- (try
- let _,_,term,_ = NCicUtils.lookup_subst n subst in
- let term = NCicSubstitution.subst_meta lc term in
- unify test_eq_only metasenv subst context t term
- with NCicUtils.Subst_not_found _->
- instantiate test_eq_only metasenv subst context n lc t true)
-
- | 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 test_eq_only metasenv subst context (mk_appl term args) t2
-
- | _, 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 test_eq_only metasenv subst context t1 (mk_appl term args)
-
- | 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 test_eq_only metasenv subst context t1 t2)
- (metasenv,subst) l1 l2
- with Invalid_argument _ ->
- raise (fail_exc metasenv subst context t1 t2))
-
- | NCic.Appl (NCic.Meta (i,l)::args), _ when not (flexible args) ->
- (* we verify that none of the args is a Meta,
- since beta expanding w.r.t a metavariable makes no sense *)
- let metasenv, subst, beta_expanded =
- beta_expand_many
- test_eq_only false
- metasenv subst context t2 args
- in
- unify test_eq_only metasenv subst context
- (C.Meta (i,l)) beta_expanded
-
- | _, NCic.Appl (NCic.Meta (i,l)::args) when not(flexible args) ->
- let metasenv, subst, beta_expanded =
- beta_expand_many
- test_eq_only true
- metasenv subst context t1 args
- in
- unify test_eq_only metasenv subst context
- beta_expanded (C.Meta (i,l))
-
- (* 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 = match r1 with
- | Ref.Ref (_,Ref.Con (_,_,lno)) ->
- let _,relevance = HExtlib.split_nth lno relevance in
- HExtlib.mk_list false lno @ relevance
- | _ -> relevance
- 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
+ match (try_hints metasenv subst context t1 t2) with
+ | Some x -> x
+ | None ->
+ match (t1,t2) with
+ | (C.Sort (C.Type a), C.Sort (C.Type b)) when not test_eq_only ->
+ if NCicEnvironment.universe_leq a b then metasenv, subst
+ else raise (fail_exc 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 (fail_exc metasenv subst context t1 t2)
+ | (C.Sort C.Prop,C.Sort (C.Type _)) ->
+ if (not test_eq_only) then metasenv, subst
+ else raise (fail_exc 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 hdb true metasenv subst context s1 s2 in
+ unify hdb test_eq_only metasenv subst ((name1, C.Decl s1)::context) t1 t2
+ | (C.LetIn (name1,ty1,s1,t1), C.LetIn(_,ty2,s2,t2)) ->
+ let metasenv,subst=unify hdb test_eq_only metasenv subst context ty1 ty2 in
+ let metasenv,subst=unify hdb test_eq_only metasenv subst context s1 s2 in
+ let context = (name1, C.Def (s1,ty1))::context in
+ unify hdb test_eq_only metasenv subst context t1 t2
+
+ | (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 =
- try unify test_eq_only metasenv subst context t1 t2
- with UnificationFailure _ | Uncertain _ when not b ->
- metasenv, subst
+ unify hdb test_eq_only metasenv subst context
+ (NCicSubstitution.lift s1 t1) (NCicSubstitution.lift s2 t2)
in
- metasenv, subst, relevance)
- (metasenv, subst, relevance) tl1 tl2
- with Invalid_argument _ ->
- raise (uncert_exc metasenv subst context t1 t2)
- in
- metasenv, subst
-
- | (C.Match (Ref.Ref (_,Ref.Ind (_,tyno,_)) as ref1,outtype1,term1,pl1),
- C.Match (ref2,outtype2,term2,pl2)) ->
- 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
- in
- let is_prop =
- match remove_prods ~subst [] ty with
- | C.Sort C.Prop -> true
- | _ -> false
- 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
- in
- if not (Ref.eq ref1 ref2) then
- raise (uncert_exc metasenv subst context t1 t2)
- else
- let metasenv, subst =
- unify test_eq_only metasenv subst context outtype1 outtype2 in
- let metasenv, subst =
- try unify test_eq_only metasenv subst context term1 term2
- with UnificationFailure _ | Uncertain _ when is_prop ->
+ 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 hdb test_eq_only metasenv subst context term1 term2
+ with NCicUtils.Subst_not_found _-> raise (UnificationFailure msg))
+
+ | C.Meta (n,lc), t ->
+ (try
+ let _,_,term,_ = NCicUtils.lookup_subst n subst in
+ let term = NCicSubstitution.subst_meta lc term in
+ unify hdb test_eq_only metasenv subst context term t
+ with NCicUtils.Subst_not_found _->
+ instantiate hdb test_eq_only metasenv subst context n lc t false)
+
+ | t, C.Meta (n,lc) ->
+ (try
+ let _,_,term,_ = NCicUtils.lookup_subst n subst in
+ let term = NCicSubstitution.subst_meta lc term in
+ unify hdb test_eq_only metasenv subst context t term
+ with NCicUtils.Subst_not_found _->
+ instantiate hdb test_eq_only metasenv subst context n lc t true)
+
+ | 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 hdb test_eq_only metasenv subst context (mk_appl term args) t2
+
+ | _, 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 hdb test_eq_only metasenv subst context t1 (mk_appl term args)
+
+ | 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 hdb test_eq_only metasenv subst context t1 t2)
+ (metasenv,subst) l1 l2
+ with Invalid_argument _ ->
+ raise (fail_exc metasenv subst context t1 t2))
+
+ | NCic.Appl (NCic.Meta (i,l)::args), _ when not (flexible args) ->
+ (* we verify that none of the args is a Meta,
+ since beta expanding w.r.t a metavariable makes no sense *)
+ let metasenv, subst, beta_expanded =
+ beta_expand_many hdb
+ test_eq_only false
+ metasenv subst context t2 args
+ in
+ unify hdb test_eq_only metasenv subst context
+ (C.Meta (i,l)) beta_expanded
+
+ | _, NCic.Appl (NCic.Meta (i,l)::args) when not(flexible args) ->
+ let metasenv, subst, beta_expanded =
+ beta_expand_many hdb
+ test_eq_only true
+ metasenv subst context t1 args
+ in
+ unify hdb test_eq_only metasenv subst context
+ beta_expanded (C.Meta (i,l))
+
+ (* 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 = match r1 with
+ | Ref.Ref (_,Ref.Con (_,_,lno)) ->
+ let _,relevance = HExtlib.split_nth lno relevance in
+ HExtlib.mk_list false lno @ relevance
+ | _ -> relevance
+ 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 hdb test_eq_only metasenv subst context t1 t2
+ with UnificationFailure _ | Uncertain _ when not b ->
+ metasenv, subst
+ in
+ metasenv, subst, relevance)
+ (metasenv, subst, relevance) tl1 tl2
+ with Invalid_argument _ ->
+ raise (uncert_exc metasenv subst context t1 t2)
+ in
+ metasenv, subst
+
+ | (C.Match (Ref.Ref (_,Ref.Ind (_,tyno,_)) as ref1,outtype1,term1,pl1),
+ C.Match (ref2,outtype2,term2,pl2)) ->
+ 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
+ in
+ let is_prop =
+ match remove_prods ~subst [] ty with
+ | C.Sort C.Prop -> true
+ | _ -> false
+ 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
in
- (try
- List.fold_left2
- (fun (metasenv,subst) ->
- unify test_eq_only metasenv subst context)
- (metasenv, subst) pl1 pl2
- with Invalid_argument _ ->
- raise (uncert_exc metasenv subst context t1 t2))
- | (C.Implicit _, _) | (_, C.Implicit _) -> assert false
- | _ when NCicUntrusted.metas_of_term subst context t1 = [] &&
- NCicUntrusted.metas_of_term subst context t2 = [] ->
- raise (fail_exc metasenv subst context t1 t2)
- | _ -> raise (uncert_exc metasenv subst context t1 t2)
+ if not (Ref.eq ref1 ref2) then
+ raise (uncert_exc metasenv subst context t1 t2)
+ else
+ let metasenv, subst =
+ unify hdb test_eq_only metasenv subst context outtype1 outtype2 in
+ let metasenv, subst =
+ try unify hdb test_eq_only metasenv subst context term1 term2
+ with UnificationFailure _ | Uncertain _ when is_prop ->
+ metasenv, subst
+ in
+ (try
+ List.fold_left2
+ (fun (metasenv,subst) ->
+ unify hdb test_eq_only metasenv subst context)
+ (metasenv, subst) pl1 pl2
+ with Invalid_argument _ ->
+ raise (uncert_exc metasenv subst context t1 t2))
+ | (C.Implicit _, _) | (_, C.Implicit _) -> assert false
+ | _ when NCicUntrusted.metas_of_term subst context t1 = [] &&
+ NCicUntrusted.metas_of_term subst context t2 = [] ->
+ raise (fail_exc metasenv subst context t1 t2)
+ | _ -> raise (uncert_exc metasenv subst context t1 t2)
(*D*) in outside(); rc with exn -> outside (); raise exn
in
let height_of = function
(*D*) in outside(); rc with exn -> outside (); raise exn
;;
-let unify =
+let unify hdb =
indent := "";
- unify false;;
+ unify hdb false;;
projects / helm.git / blobdiff