exception MetaSubstFailure of string Lazy.t
exception Uncertain of string Lazy.t
-(*
-(*** Functions to apply a substitution ***)
-
-let apply_subst_gen ~appl_fun subst term =
- let rec um_aux =
- let module C = Cic in
- let module S = CicSubstitution in
- function
- C.Rel _ as t -> t
- | C.Var (uri,exp_named_subst) ->
- let exp_named_subst' =
- List.map (fun (uri, t) -> (uri, um_aux t)) exp_named_subst
- in
- C.Var (uri, exp_named_subst')
- | C.Meta (i, l) ->
- (try
- let (_, t,_) = lookup_subst i subst in
- um_aux (S.subst_meta l t)
- with CicUtil.Subst_not_found _ ->
- (* unconstrained variable, i.e. free in subst*)
- let l' =
- List.map (function None -> None | Some t -> Some (um_aux t)) l
- in
- C.Meta (i,l'))
- | C.Sort _
- | C.Implicit _ as t -> t
- | C.Cast (te,ty) -> C.Cast (um_aux te, um_aux ty)
- | C.Prod (n,s,t) -> C.Prod (n, um_aux s, um_aux t)
- | C.Lambda (n,s,t) -> C.Lambda (n, um_aux s, um_aux t)
- | C.LetIn (n,s,ty,t) -> C.LetIn (n, um_aux s, um_aux ty, um_aux t)
- | C.Appl (hd :: tl) -> appl_fun um_aux hd tl
- | C.Appl _ -> assert false
- | C.Const (uri,exp_named_subst) ->
- let exp_named_subst' =
- List.map (fun (uri, t) -> (uri, um_aux t)) exp_named_subst
- in
- C.Const (uri, exp_named_subst')
- | C.MutInd (uri,typeno,exp_named_subst) ->
- let exp_named_subst' =
- List.map (fun (uri, t) -> (uri, um_aux t)) exp_named_subst
- in
- C.MutInd (uri,typeno,exp_named_subst')
- | C.MutConstruct (uri,typeno,consno,exp_named_subst) ->
- let exp_named_subst' =
- List.map (fun (uri, t) -> (uri, um_aux t)) exp_named_subst
- in
- C.MutConstruct (uri,typeno,consno,exp_named_subst')
- | C.MutCase (sp,i,outty,t,pl) ->
- let pl' = List.map um_aux pl in
- C.MutCase (sp, i, um_aux outty, um_aux t, pl')
- | C.Fix (i, fl) ->
- let fl' =
- List.map (fun (name, i, ty, bo) -> (name, i, um_aux ty, um_aux bo)) fl
- in
- C.Fix (i, fl')
- | C.CoFix (i, fl) ->
- let fl' =
- List.map (fun (name, ty, bo) -> (name, um_aux ty, um_aux bo)) fl
- in
- C.CoFix (i, fl')
- in
- um_aux term
-;;
-
-let apply_subst =
- let appl_fun um_aux he tl =
- let tl' = List.map um_aux tl in
- let t' =
- match um_aux he with
- Cic.Appl l -> Cic.Appl (l@tl')
- | he' -> Cic.Appl (he'::tl')
- in
- begin
- match he with
- Cic.Meta (m,_) -> CicReduction.head_beta_reduce t'
- | _ -> t'
- end
- in
- fun subst t ->
-(* incr apply_subst_counter; *)
-match subst with
- [] -> t
- | _ -> apply_subst_gen ~appl_fun subst t
-;;
-
-let profiler = HExtlib.profile "U/CicMetaSubst.apply_subst"
-let apply_subst s t =
- profiler.HExtlib.profile (apply_subst s) t
-
-
-let apply_subst_context subst context =
- match subst with
- [] -> context
- | _ ->
-(*
- incr apply_subst_context_counter;
- context_length := !context_length + List.length context;
-*)
- List.fold_right
- (fun item context ->
- match item with
- | Some (n, Cic.Decl t) ->
- let t' = apply_subst subst t in
- Some (n, Cic.Decl t') :: context
- | Some (n, Cic.Def (t, ty)) ->
- let ty' = apply_subst subst ty in
- let t' = apply_subst subst t in
- Some (n, Cic.Def (t', ty')) :: context
- | None -> None :: context)
- context []
-
-let apply_subst_metasenv subst metasenv =
-(*
- incr apply_subst_metasenv_counter;
- metasenv_length := !metasenv_length + List.length metasenv;
-*)
-match subst with
- [] -> metasenv
- | _ ->
- List.map
- (fun (n, context, ty) ->
- (n, apply_subst_context subst context, apply_subst subst ty))
- (List.filter
- (fun (i, _, _) -> not (List.mem_assoc i subst))
- metasenv)
-
-let tempi_type_of_aux_subst = ref 0.0;;
-let tempi_subst = ref 0.0;;
-let tempi_type_of_aux = ref 0.0;;
-*)
-
let newmeta =
let maxmeta = ref 0 in
fun () -> incr maxmeta; !maxmeta
;;
-let mk_restricted_irl shift len restrictions =
- let rec aux n =
- if n = 0 then 0 else
- if List.mem (n+shift) restrictions then aux (n-1)
- else 1+aux (n-1)
- in
- pack_lc (shift, NCic.Irl (aux len))
-;;
-
let mk_perforated_irl shift len restrictions =
let rec aux n =
List.length (List.filter (fun x -> x < r - k) restrictions)
in
if amount > 0 then ms, NCic.Rel (r - amount) else ms, orig
- | NCic.Meta (n, l) as orig ->
+ | NCic.Meta (n, (shift,lc as l)) as orig ->
(* we ignore the subst since restrict will take care of already
* instantiated/restricted metavariabels *)
let (metasenv,subst as ms), restrictions_for_n, l' =
- match l with
- | shift, NCic.Irl len ->
- let restrictions =
- List.filter
- (fun i -> i > shift && i <= shift + len) restrictions in
- ms, restrictions, mk_restricted_irl shift len restrictions
- | shift, NCic.Ctx l ->
- let ms, _, restrictions_for_n, l =
- List.fold_right
- (fun t (ms, i, restrictions_for_n, l) ->
- try
- let ms, t = aux (k-shift) ms t in
- ms, i-1, restrictions_for_n, t::l
- with Occur ->
- ms, i-1, i::restrictions_for_n, l)
- l (ms, List.length l, [], [])
- in
- ms, restrictions_for_n, pack_lc (shift, NCic.Ctx l)
+ let l = NCicUtils.expand_local_context lc in
+
+ let ms, _, restrictions_for_n, l =
+ List.fold_right
+ (fun t (ms, i, restrictions_for_n, l) ->
+ try
+ let ms, t = aux (k-shift) ms t in
+ ms, i-1, restrictions_for_n, t::l
+ with Occur ->
+ ms, i-1, i::restrictions_for_n, l)
+ l (ms, List.length l, [], [])
+ in
+
+ ms, restrictions_for_n, pack_lc (shift, NCic.Ctx l)
in
if restrictions_for_n = [] then
ms, if l = l' then orig else NCic.Meta (n, l')
let (metasenv, subst), newbo =
force_does_not_occur metasenv subst restrictions bo in
let j = newmeta () in
- let subst_entry_j = j, (name, newctx, newty, newbo) in
+ let subst_entry_j = j, (name, newctx, newbo, newty) in
let reloc_irl = mk_perforated_irl 0 (List.length ctx) restrictions in
let subst_entry_i = i, (name, ctx, NCic.Meta (j, reloc_irl), ty) in
- metasenv,
- subst_entry_j :: List.map
- (fun (n,_) as orig -> if i = n then subst_entry_i else orig) subst,
- j
+ let new_subst =
+ subst_entry_j :: List.map
+ (fun (n,_) as orig -> if i = n then subst_entry_i else orig) subst
+ in
+(*
+ prerr_endline ("restringo nella subst: " ^string_of_int i ^ " -> " ^
+ string_of_int j ^ "\n" ^
+ NCicPp.ppsubst ~metasenv [subst_entry_j] ^ "\n\n" ^
+ NCicPp.ppsubst ~metasenv [subst_entry_i] ^ "\n" ^
+ NCicPp.ppterm ~metasenv ~subst ~context:ctx bo ^ " ---- " ^
+ NCicPp.ppterm ~metasenv ~subst ~context:newctx newbo
+ );
+*)
+ metasenv, new_subst, j
with Occur -> raise (MetaSubstFailure (lazy (Printf.sprintf
("Cannot restrict the context of the metavariable ?%d over "^^
"the hypotheses %s since ?%d is already instantiated "^^
aux k ms (NCicSubstitution.lift n bo))
| _,NCic.Decl _ -> ms, NCic.Rel ((position (n-k) l) + k)
with Failure _ -> assert false) (*Unbound variable found in delift*)
+ | NCic.Meta (i,_) when i=n ->
+ raise (MetaSubstFailure (lazy (Printf.sprintf (
+ "Cannot unify the metavariable ?%d with a term that has "^^
+ "as subterm %s in which the same metavariable "^^
+ "occurs (occur check)") i
+ (NCicPp.ppterm ~context ~metasenv ~subst t))))
| NCic.Meta (i,l1) as orig ->
(try
let _,_,t,_ = NCicUtils.lookup_subst i subst in
aux k ms (NCicSubstitution.subst_meta l1 t)
with NCicUtils.Subst_not_found _ ->
- (* see the top level invariant *)
- if (i = n) then
- raise (MetaSubstFailure (lazy (Printf.sprintf (
- "Cannot unify the metavariable ?%d with a term that has "^^
- "as subterm %s in which the same metavariable "^^
- "occurs (occur check)") i
- (NCicPp.ppterm ~context ~metasenv ~subst t))))
+ if snd l1 = NCic.Irl 0 || snd l1 = NCic.Ctx [] then ms, orig
else
let shift1,lc1 = l1 in
let shift,lc = l in
+ let shift = shift + k in
match lc, lc1 with
| NCic.Irl len, NCic.Irl len1
- when shift1 - k < shift || len1 + shift1 - k > len + shift ->
- let low_gap = max 0 (shift - (shift1 - k)) in
- let high_gap = max 0 (shift1 + len1 - k - (shift + len)) in
- let restrictions =
- HExtlib.list_seq 1 (low_gap+1) @
- HExtlib.list_seq (len1-high_gap) len1
- in
-(*
- prerr_endline ("RESTRICTIONS FOR: " ^
- NCicPp.ppterm ~metasenv ~subst ~context:[]
- (NCic.Meta (i,l1)) ^
- " that was part of a term unified with " ^
- NCicPp.ppterm ~metasenv ~subst ~context:[]
- (NCic.Meta (n,l)) ^ " ====> " ^
- String.concat "," (List.map string_of_int restrictions));
-*)
+ when shift1 + len1 < shift || shift1 > shift + len ->
+ let restrictions = HExtlib.list_seq 1 (len1 + 1) in
let metasenv, subst, newmeta =
restrict metasenv subst i restrictions
in
- let meta =
- NCic.Meta(newmeta,(k,NCic.Irl (len - low_gap - high_gap)))
+ (metasenv, subst),
+ NCic.Meta (newmeta, (0,NCic.Irl (max 0 (k-shift1))))
+ | NCic.Irl len, NCic.Irl len1 ->
+ let low_restrictions, new_shift =
+ if k <= shift1 && shift1 < shift then
+ HExtlib.list_seq 1 (shift - shift1 + 1), k
+ else if shift1 < k (* <= shift *) then
+ let save_below = k - shift1 in
+ HExtlib.list_seq (save_below + 1) (shift - shift1 + 1),
+ shift1
+ else [], shift1 - shift + k
in
- (metasenv, subst), meta
-
- | NCic.Irl _, NCic.Irl _ when shift = 0 -> ms, orig
- | NCic.Irl _, NCic.Irl _ ->
- ms, NCic.Meta (i, (shift1 - shift, lc1))
- | _ ->
+ let high_restrictions =
+ let last = shift + len in
+ let last1 = shift1 + len1 in
+ if last1 > last then
+ let high_gap = last1 - last in
+ HExtlib.list_seq (len1 - high_gap + 1) (len1 + 1)
+ else []
+ in
+ let restrictions = low_restrictions @ high_restrictions in
+ if restrictions = [] then
+ if shift = k then ms, orig
+ else ms, NCic.Meta (i, (new_shift, lc1))
+ else
+ let metasenv, subst, newmeta =
+ restrict metasenv subst i restrictions
+ in
+(* {{{
+ prerr_endline ("RESTRICTIONS FOR: " ^
+ NCicPp.ppterm ~metasenv ~subst ~context:[]
+ (NCic.Meta (i,l1))^" that was part of a term unified with "
+ ^ NCicPp.ppterm ~metasenv ~subst ~context:[] (NCic.Meta
+ (n,l)) ^ " ====> " ^ String.concat "," (List.map
+ string_of_int restrictions) ^ "\nMENV:\n" ^
+ NCicPp.ppmetasenv ~subst metasenv ^ "\nSUBST:\n" ^
+ NCicPp.ppsubst subst ~metasenv);
+}}} *)
+ let newlc_len = len1 - List.length restrictions in
+ let meta =
+ NCic.Meta(newmeta,(new_shift, NCic.Irl newlc_len))
+ in
+ assert (
+ let _, cctx, _ = NCicUtils.lookup_meta newmeta metasenv in
+ List.length cctx = newlc_len);
+ (metasenv, subst), meta
+
+ | _ ->
let lc1 = NCicUtils.expand_local_context lc1 in
+ let lc1 = List.map (NCicSubstitution.lift shift1) lc1 in
let rec deliftl tbr j ms = function
| [] -> ms, tbr, []
| t::tl ->
let ms, tbr, tl = deliftl tbr (j+1) ms tl in
try
- let ms, t = aux (k-shift1) ms t in
+ let ms, t = aux k ms t in
ms, tbr, t::tl
with
| NotInTheList | MetaSubstFailure _ -> ms, j::tbr, tl
prerr_endline ("TO BE RESTRICTED: " ^
(String.concat "," (List.map string_of_int to_be_r)));
*)
- let l1 = pack_lc (shift, NCic.Ctx lc1') in
+ let l1 = pack_lc (0, NCic.Ctx lc1') in
+(*
+ prerr_endline ("newmeta:" ^ NCicPp.ppterm
+ ~metasenv ~subst ~context (NCic.Meta (999,l1)));
+*)
if to_be_r = [] then
(metasenv, subst),
(if lc1' = lc1 then orig else NCic.Meta (i,l1))
let metasenv, subst, newmeta =
restrict metasenv subst i to_be_r in
(metasenv, subst), NCic.Meta(newmeta,l1))
+
| t -> NCicUntrusted.map_term_fold_a (fun _ k -> k+1) k aux ms t
in
try aux 0 (metasenv,subst) t
let l = List.map (NCicSubstitution.lift shift) lc in
if
List.exists
- (fun t -> NCicUntrusted.metas_of_term subst context t = [])
+ (fun t ->
+ NCicUntrusted.metas_of_term subst context t = [])
l
then
raise (Uncertain msg)
raise (MetaSubstFailure msg)
;;
-(*
-(* delifts a term t of n levels strating from k, that is changes (Rel m)
- * to (Rel (m - n)) when m > (k + n). if k <= m < k + n delift fails
- *)
-let delift_rels_from subst metasenv k n =
- let rec liftaux subst metasenv k =
- let module C = Cic in
- function
- C.Rel m as t ->
- if m < k then
- t, subst, metasenv
- else if m < k + n then
- raise DeliftingARelWouldCaptureAFreeVariable
- else
- C.Rel (m - n), subst, metasenv
- | C.Var (uri,exp_named_subst) ->
- let exp_named_subst',subst,metasenv =
- List.fold_right
- (fun (uri,t) (l,subst,metasenv) ->
- let t',subst,metasenv = liftaux subst metasenv k t in
- (uri,t')::l,subst,metasenv) exp_named_subst ([],subst,metasenv)
- in
- C.Var (uri,exp_named_subst'),subst,metasenv
- | C.Meta (i,l) ->
- (try
- let (_, t,_) = lookup_subst i subst in
- liftaux subst metasenv k (CicSubstitution.subst_meta l t)
- with CicUtil.Subst_not_found _ ->
- let l',to_be_restricted,subst,metasenv =
- let rec aux con l subst metasenv =
- match l with
- [] -> [],[],subst,metasenv
- | he::tl ->
- let tl',to_be_restricted,subst,metasenv =
- aux (con + 1) tl subst metasenv in
- let he',more_to_be_restricted,subst,metasenv =
- match he with
- None -> None,[],subst,metasenv
- | Some t ->
- try
- let t',subst,metasenv = liftaux subst metasenv k t in
- Some t',[],subst,metasenv
- with
- DeliftingARelWouldCaptureAFreeVariable ->
- None,[i,con],subst,metasenv
- in
- he'::tl',more_to_be_restricted@to_be_restricted,subst,metasenv
- in
- aux 1 l subst metasenv in
- let metasenv,subst = restrict subst to_be_restricted metasenv in
- C.Meta(i,l'),subst,metasenv)
- | C.Sort _ as t -> t,subst,metasenv
- | C.Implicit _ as t -> t,subst,metasenv
- | C.Cast (te,ty) ->
- let te',subst,metasenv = liftaux subst metasenv k te in
- let ty',subst,metasenv = liftaux subst metasenv k ty in
- C.Cast (te',ty'),subst,metasenv
- | C.Prod (n,s,t) ->
- let s',subst,metasenv = liftaux subst metasenv k s in
- let t',subst,metasenv = liftaux subst metasenv (k+1) t in
- C.Prod (n,s',t'),subst,metasenv
- | C.Lambda (n,s,t) ->
- let s',subst,metasenv = liftaux subst metasenv k s in
- let t',subst,metasenv = liftaux subst metasenv (k+1) t in
- C.Lambda (n,s',t'),subst,metasenv
- | C.LetIn (n,s,ty,t) ->
- let s',subst,metasenv = liftaux subst metasenv k s in
- let ty',subst,metasenv = liftaux subst metasenv k ty in
- let t',subst,metasenv = liftaux subst metasenv (k+1) t in
- C.LetIn (n,s',ty',t'),subst,metasenv
- | C.Appl l ->
- let l',subst,metasenv =
- List.fold_right
- (fun t (l,subst,metasenv) ->
- let t',subst,metasenv = liftaux subst metasenv k t in
- t'::l,subst,metasenv) l ([],subst,metasenv) in
- C.Appl l',subst,metasenv
- | C.Const (uri,exp_named_subst) ->
- let exp_named_subst',subst,metasenv =
- List.fold_right
- (fun (uri,t) (l,subst,metasenv) ->
- let t',subst,metasenv = liftaux subst metasenv k t in
- (uri,t')::l,subst,metasenv) exp_named_subst ([],subst,metasenv)
- in
- C.Const (uri,exp_named_subst'),subst,metasenv
- | C.MutInd (uri,tyno,exp_named_subst) ->
- let exp_named_subst',subst,metasenv =
- List.fold_right
- (fun (uri,t) (l,subst,metasenv) ->
- let t',subst,metasenv = liftaux subst metasenv k t in
- (uri,t')::l,subst,metasenv) exp_named_subst ([],subst,metasenv)
- in
- C.MutInd (uri,tyno,exp_named_subst'),subst,metasenv
- | C.MutConstruct (uri,tyno,consno,exp_named_subst) ->
- let exp_named_subst',subst,metasenv =
- List.fold_right
- (fun (uri,t) (l,subst,metasenv) ->
- let t',subst,metasenv = liftaux subst metasenv k t in
- (uri,t')::l,subst,metasenv) exp_named_subst ([],subst,metasenv)
- in
- C.MutConstruct (uri,tyno,consno,exp_named_subst'),subst,metasenv
- | C.MutCase (sp,i,outty,t,pl) ->
- let outty',subst,metasenv = liftaux subst metasenv k outty in
- let t',subst,metasenv = liftaux subst metasenv k t in
- let pl',subst,metasenv =
- List.fold_right
- (fun t (l,subst,metasenv) ->
- let t',subst,metasenv = liftaux subst metasenv k t in
- t'::l,subst,metasenv) pl ([],subst,metasenv)
- in
- C.MutCase (sp,i,outty',t',pl'),subst,metasenv
- | C.Fix (i, fl) ->
- let len = List.length fl in
- let liftedfl,subst,metasenv =
- List.fold_right
- (fun (name, i, ty, bo) (l,subst,metasenv) ->
- let ty',subst,metasenv = liftaux subst metasenv k ty in
- let bo',subst,metasenv = liftaux subst metasenv (k+len) bo in
- (name,i,ty',bo')::l,subst,metasenv
- ) fl ([],subst,metasenv)
- in
- C.Fix (i, liftedfl),subst,metasenv
- | C.CoFix (i, fl) ->
- let len = List.length fl in
- let liftedfl,subst,metasenv =
- List.fold_right
- (fun (name, ty, bo) (l,subst,metasenv) ->
- let ty',subst,metasenv = liftaux subst metasenv k ty in
- let bo',subst,metasenv = liftaux subst metasenv (k+len) bo in
- (name,ty',bo')::l,subst,metasenv
- ) fl ([],subst,metasenv)
- in
- C.CoFix (i, liftedfl),subst,metasenv
- in
- liftaux subst metasenv k
-
-let delift_rels subst metasenv n t =
- delift_rels_from subst metasenv 1 n t
-*)
-
let mk_meta ?name metasenv context ty =
match ty with
| `Typeless ->
projects / helm.git / blobdiff