match pred with
| Cic.Lambda (_,_,(Cic.Appl [Cic.MutInd (uri, 0,_);ty;l;r]))
when LibraryObjects.is_eq_URI uri -> ty,uri,l,r
- | _ -> prerr_endline (CicPp.ppterm pred); assert false
+ | _ -> Utils.debug_print (lazy (CicPp.ppterm pred)); assert false
;;
let is_not_fixed t =
[] -> List.rev acc
| (l',p)::tl when l=l' ->
if acc <> [] then
-prerr_endline ("!!! RISPARMIO " ^ string_of_int (List.length acc) ^ " PASSI");
+Utils.debug_print (lazy ("!!! RISPARMIO " ^ string_of_int (List.length acc) ^ " PASSI"));
cut_to_last_duplicate l [l',p] tl
| (l',p)::tl ->
cut_to_last_duplicate l ((l',p)::acc) tl
remove_refl p1
| _ -> Cic.Appl (List.map remove_refl args))
| Cic.Appl l -> Cic.Appl (List.map remove_refl l)
- | Cic.LetIn (name,bo,rest) ->
- Cic.LetIn (name,remove_refl bo,remove_refl rest)
+ | Cic.LetIn (name,bo,ty,rest) ->
+ Cic.LetIn (name,remove_refl bo,remove_refl ty,remove_refl rest)
| _ -> t
in
let rec canonical_trough_lambda context = function
and canonical context t =
match t with
- | Cic.LetIn(name,bo,rest) ->
+ | Cic.LetIn(name,bo,ty,rest) ->
let bo = canonical_trough_lambda context bo in
- let context' = (Some (name,Cic.Def (bo,None)))::context in
- Cic.LetIn(name,bo,canonical context' rest)
+ let ty = canonical_trough_lambda context ty in
+ let context' = (Some (name,Cic.Def (bo,ty)))::context in
+ Cic.LetIn(name,bo,ty,canonical context' rest)
| Cic.Appl (((Cic.Const(uri_sym,ens))::tl) as args)
when LibraryObjects.is_sym_eq_URI uri_sym ->
(match p_of_sym ens tl with
Cic.Const (LibraryObjects.eq_f_sym_URI ~eq, [])
in
let rc = Cic.Appl [eq_f_sym;ty1;ty2;f;x;y;p] in
- prerr_endline ("CANONICAL " ^ CicPp.ppterm rc);
+ Utils.debug_print (lazy ("CANONICAL " ^ CicPp.ppterm rc));
rc
| Cic.Appl [Cic.MutConstruct (uri, 0, 1,_);_;_] as t
when LibraryObjects.is_eq_URI uri -> t
let compose_contexts ctx1 ctx2 =
ProofEngineReduction.replace_lifting
- ~equality:(=) ~what:[Cic.Implicit(Some `Hole)] ~with_what:[ctx2] ~where:ctx1
+ ~equality:(fun _ ->(=)) ~context:[] ~what:[Cic.Implicit(Some `Hole)] ~with_what:[ctx2] ~where:ctx1
;;
let put_in_ctx ctx t =
ProofEngineReduction.replace_lifting
- ~equality:(=) ~what:[Cic.Implicit (Some `Hole)] ~with_what:[t] ~where:ctx
+ ~equality:(fun _ -> (=)) ~context:[] ~what:[Cic.Implicit (Some `Hole)] ~with_what:[t] ~where:ctx
;;
let mk_eq uri ty l r =
when LibraryObjects.is_sym_eq_URI uri_sym ->
let ty,l,r,p = open_sym ens tl in
mk_sym uri_sym ty l r (aux uri ty l r ctx_d ctx_ty p)
- | Cic.LetIn (name,body,rest) ->
- Cic.LetIn (name,look_ahead (aux uri) body, aux uri ty left right ctx_d ctx_ty rest)
+ | Cic.LetIn (name,body,bodyty,rest) ->
+ Cic.LetIn
+ (name,look_ahead (aux uri) body, bodyty,
+ aux uri ty left right ctx_d ctx_ty rest)
| Cic.Appl ((Cic.Const(uri_ind,ens))::tl)
when LibraryObjects.is_eq_ind_URI uri_ind ||
LibraryObjects.is_eq_ind_r_URI uri_ind ->
let p = CicSubstitution.lift (lift_no-1) p in
let p =
ProofEngineReduction.replace_lifting
- ~equality:(fun t1 t2 ->
+ ~equality:(fun _ t1 t2 ->
match t1,t2 with Cic.Meta (i,_),Cic.Meta(j,_) -> i=j | _ -> false)
+ ~context:[]
~what ~with_what ~where:p
in
let ty_of_m _ = Cic.Implicit (Some `Type) in
aux proof
;;
-let build_goal_proof bag eq l initial ty se context menv =
+let build_goal_proof ?(contextualize=true) ?(forward=false) bag eq l initial ty se context menv =
let se = List.map (fun i -> Cic.Meta (i,[])) se in
let lets = get_duplicate_step_in_wfo bag l initial in
let letsno = List.length lets in
+ let l = if forward then List.rev l else l in
let lift_list l = List.map (fun (i,t) -> i,CicSubstitution.lift 1 t) l in
let lets,_,h =
List.fold_left
acc@[id,real_cic],n+1,h)
([],0,[]) lets
in
+ let lets =
+ List.map (fun (id,cic) -> id,cic,Cic.Implicit (Some `Type)) lets
+ in
let proof,se =
let rec aux se current_proof = function
| [] -> current_proof,se
| (rule,pos,id,subst,pred)::tl ->
let p,l,r = proof_of_id bag id in
let p = build_proof_term bag eq h letsno p in
- let pos = if pos = Utils.Left then Utils.Right else Utils.Left in
+ let pos = if forward then pos else
+ if pos = Utils.Left then Utils.Right else Utils.Left in
let varname =
match rule with
| SuperpositionLeft -> Cic.Name ("SupL" ^ Utils.string_of_pos pos)
let n,proof =
let initial = proof in
List.fold_right
- (fun (id,cic) (n,p) ->
+ (fun (id,cic,ty) (n,p) ->
n-1,
Cic.LetIn (
Cic.Name ("H"^string_of_int id),
- cic, p))
+ cic,
+ ty,
+ p))
lets (letsno-1,initial)
in
- canonical
- (contextualize_rewrites proof (CicSubstitution.lift letsno ty))
- context menv,
- se
+ let proof =
+ if contextualize
+ then contextualize_rewrites proof (CicSubstitution.lift letsno ty)
+ else proof in
+ canonical proof context menv, se
;;
let refl_proof eq_uri ty term =
let irl = [] in
let newmeta = Cic.Meta(maxmeta,irl) in
let newsubst = Subst.buildsubst i context newmeta ty subst in
- newsubst, (maxmeta,context,ty)::metasenv, maxmeta+1)
+ (* newsubst, (maxmeta,context,ty)::metasenv, maxmeta+1) *)
+ newsubst, (maxmeta,[],ty)::metasenv, maxmeta+1)
to_be_relocated (Subst.empty_subst, [], newmeta+1)
in
- let menv = Subst.apply_subst_metasenv subst menv @ newmetasenv in
+ (* let subst = Subst.flatten_subst subst in *)
+ let menv = Subst.apply_subst_metasenv subst (menv @ newmetasenv) in
subst, menv, newmeta
let fix_metas_goal newmeta goal =
let fix_metas bag newmeta eq =
let w, p, (ty, left, right, o), menv,_ = open_equality eq in
let to_be_relocated =
-(* List.map (fun i ,_,_ -> i) menv *)
+ List.map (fun i ,_,_ -> i) menv
+(*
HExtlib.list_uniq
(List.sort Pervasives.compare
(Utils.metas_of_term left @ Utils.metas_of_term right @
Utils.metas_of_term ty))
+*)
in
let subst, metasenv, newmeta = relocate newmeta menv to_be_relocated in
let ty = Subst.apply_subst subst ty in
aux_ens table ens1 ens2
| C.Cast (s1, t1), C.Cast (s2, t2)
| C.Prod (_, s1, t1), C.Prod (_, s2, t2)
- | C.Lambda (_, s1, t1), C.Lambda (_, s2, t2)
- | C.LetIn (_, s1, t1), C.LetIn (_, s2, t2) ->
+ | C.Lambda (_, s1, t1), C.Lambda (_, s2, t2) ->
+ let table = aux table s1 s2 in
+ aux table t1 t2
+ | C.LetIn (_, s1, ty1, t1), C.LetIn (_, s2, ty2, t2) ->
let table = aux table s1 s2 in
+ let table = aux table ty1 ty2 in
aux table t1 t2
| C.Appl l1, C.Appl l2 -> (
try List.fold_left2 (fun res t1 t2 -> (aux res t1 t2)) table l1 l2
false
;;
-
let meta_convertibility t1 t2 =
if t1 = t2 then
true
false
;;
+let meta_convertibility_subst t1 t2 menv =
+ if t1 = t2 then
+ Some([])
+ else
+ try
+ let (l,_) = meta_convertibility_aux ([],[]) t1 t2 in
+ let subst =
+ List.map
+ (fun (x,y) ->
+ try
+ let (_,c,t) = CicUtil.lookup_meta x menv in
+ let irl =
+ CicMkImplicit.identity_relocation_list_for_metavariable c in
+ (y,(c,Cic.Meta(x,irl),t))
+ with CicUtil.Meta_not_found _ ->
+ try
+ let (_,c,t) = CicUtil.lookup_meta y menv in
+ let irl =
+ CicMkImplicit.identity_relocation_list_for_metavariable c in
+ (x,(c,Cic.Meta(y,irl),t))
+ with CicUtil.Meta_not_found _ -> assert false) l in
+ Some subst
+ with NotMetaConvertible ->
+ None
+;;
+
exception TermIsNotAnEquality;;
let term_is_equality term =
| _ -> assert false
in
let rec skip_letin ctx = function
- | Cic.LetIn (n,b,t) ->
+ | Cic.LetIn (n,b,_,t) ->
pp_proofterm (Some (rename "Lemma " n)) b ctx::
skip_letin ((Some n)::ctx) t
| t ->
when Pcre.pmatch ~pat:"eq_f" (UriManager.string_of_uri uri)->
pp true p
| Cic.Appl [Cic.Const (uri,[]);_;_;_;_;_;p]
- when Pcre.pmatch ~pat:"eq_f1" (UriManager.string_of_uri uri)->
+ when Pcre.pmatch ~pat:"eq_OF_eq" (UriManager.string_of_uri uri)->
pp true p
| Cic.Appl [Cic.MutConstruct (uri,_,_,[]);_;_;t;p]
when Pcre.pmatch ~pat:"ex.ind" (UriManager.string_of_uri uri)->
pp_proofterm (Some (Cic.Name "Hypothesis")) t []
;;
+let initial_nameset_list = [
+ "x"; "y"; "z"; "t"; "u"; "v"; "a"; "b"; "c"; "d";
+ "e"; "l"; "m"; "n"; "o"; "p"; "q"; "r";
+]
+
+module S = Set.Make(String)
+
+let initial_nameset = List.fold_right S.add initial_nameset_list S.empty, [];;
+
+let freshname (nameset, subst) term =
+ let m = CicUtil.metas_of_term term in
+ let nameset, subst =
+ List.fold_left
+ (fun (set,rc) (m,_) ->
+ if List.mem_assoc m rc then set,rc else
+ let name = S.choose set in
+ let set = S.remove name set in
+ set,
+ (m,Cic.Const(UriManager.uri_of_string
+ ("cic:/"^name^".con"),[]))::rc)
+ (nameset,subst) m
+ in
+ let term =
+ ProofEngineReduction.replace
+ ~equality:(fun i t -> match t with Cic.Meta (j,_) -> i=j| _ -> false)
+ ~what:(List.map fst subst)
+ ~with_what:(List.map snd subst) ~where:term
+ in
+ (nameset, subst), term
+;;
+
+let remove_names_in_context (set,subst) names =
+ List.fold_left
+ (fun s n ->
+ match n with Some (Cic.Name n) -> S.remove n s | _ -> s)
+ set names, subst
+;;
+
+let string_of_id2 (id_to_eq,_) names nameset id =
+ if id = 0 then "" else
+ try
+ let (_,_,(_,l,r,_),_,_) = open_equality (Hashtbl.find id_to_eq id) in
+ let nameset, l = freshname nameset l in
+ let nameset, r = freshname nameset r in
+ Printf.sprintf "%s = %s" (CicPp.pp l names) (CicPp.pp r names)
+ with
+ Not_found -> assert false
+;;
+
+let draw_proof bag names goal_proof proof id =
+ let b = Buffer.create 100 in
+ let fmt = Format.formatter_of_buffer b in
+ let sint = string_of_int in
+ let fst3 (x,_,_) = x in
+ let visited = ref [] in
+ let nameset = remove_names_in_context initial_nameset names in
+ let rec fact id = function
+ | Exact t ->
+ if not (List.mem id !visited) then
+ begin
+ visited := id :: !visited;
+ let nameset, t = freshname nameset t in
+ let t = CicPp.pp t names in
+ GraphvizPp.Dot.node (sint id)
+ ~attrs:["label",t^":"^string_of_id2 bag names nameset id;
+ "shape","rectangle"] fmt;
+ end
+ | Step (_,(_,id1,(_,id2),_)) ->
+ GraphvizPp.Dot.edge (sint id) (sint id1) fmt;
+ GraphvizPp.Dot.edge (sint id) (sint id2) fmt;
+ let p1,_,_ = proof_of_id bag id1 in
+ let p2,_,_ = proof_of_id bag id2 in
+ fact id1 p1;
+ fact id2 p2;
+ if not (List.mem id !visited); then
+ begin
+ visited := id :: !visited;
+ GraphvizPp.Dot.node (sint id)
+ ~attrs:["label",sint id^":"^string_of_id2 bag names nameset id;
+ "shape","ellipse"] fmt
+ end
+ in
+ let sleft acc (_,_,id,_,_) =
+ if acc != 0 then GraphvizPp.Dot.edge (sint acc) (sint id) fmt;
+ fact id (fst3 (proof_of_id bag id));
+ id
+ in
+ GraphvizPp.Dot.header ~node_attrs:["fontsize","10"; ] fmt;
+ ignore(List.fold_left sleft id goal_proof);
+ GraphvizPp.Dot.trailer fmt;
+ let oc = open_out "/tmp/matita_paramod.dot" in
+ Buffer.output_buffer oc b;
+ close_out oc;
+ Utils.debug_print (lazy "dot!");
+ ignore(Unix.system
+ "dot -Tps -o /tmp/matita_paramod.eps /tmp/matita_paramod.dot"
+(* "cat /tmp/matita_paramod.dot| tred | dot -Tps -o /tmp/matita_paramod.eps" *)
+ );
+ ignore(Unix.system "gv /tmp/matita_paramod.eps");
+;;
+