* http://cs.unibo.it/helm/.
*)
+let _profiler = <:profiler<_profiler>>;;
+
(* $Id: inference.ml 6245 2006-04-05 12:07:51Z tassi $ *)
type rule = SuperpositionRight | SuperpositionLeft | Demodulation
and goal_proof = (rule * Utils.pos * int * Subst.substitution * Cic.term) list
;;
+type goal = goal_proof * Cic.metasenv * Cic.term
+
(* globals *)
let maxid = ref 0;;
let id_to_eq = Hashtbl.create 1024;;
function
| Exact t -> Exact (Subst.apply_subst subst t)
| Step (s,(rule, id1, (pos,id2), pred)) ->
- Step (Subst.concat subst s,(rule, id1, (pos,id2), pred))
+ Step (Subst.concat subst s,(rule, id1, (pos,id2), pred))
;;
-let build_proof_step ?(sym=false) lift subst p1 p2 pos l r pred =
+let build_proof_step eq lift subst p1 p2 pos l r pred =
let p1 = Subst.apply_subst_lift lift subst p1 in
let p2 = Subst.apply_subst_lift lift subst p2 in
let l = CicSubstitution.lift lift l in
let p =
match pos with
| Utils.Left ->
- mk_eq_ind (Utils.eq_ind_URI ()) ty what pred p1 other p2
+ mk_eq_ind (LibraryObjects.eq_ind_URI ~eq) ty what pred p1 other p2
| Utils.Right ->
- mk_eq_ind (Utils.eq_ind_r_URI ()) ty what pred p1 other p2
+ mk_eq_ind (LibraryObjects.eq_ind_r_URI ~eq) ty what pred p1 other p2
in
- if sym then
- let uri,pl,pr =
- let eq,_,pl,pr = open_eq body in
- LibraryObjects.sym_eq_URI ~eq, pl, pr
- in
- let l = CicSubstitution.subst other pl in
- let r = CicSubstitution.subst other pr in
- mk_sym uri ty l r p
- else
p
;;
let parametrize_proof p l r ty =
- let parameters = CicUtil.metas_of_term p
-@ CicUtil.metas_of_term l
-@ CicUtil.metas_of_term r
-in (* ?if they are under a lambda? *)
+ let uniq l = HExtlib.list_uniq (List.sort Pervasives.compare l) in
+ let mot = CicUtil.metas_of_term_set in
+ let parameters = uniq (mot p @ mot l @ mot r) in
+ (* ?if they are under a lambda? *)
let parameters =
HExtlib.list_uniq (List.sort Pervasives.compare parameters)
in
| Step (_,(_,id1,(_,id2),_)) ->
let m = find_deps m id1 in
let m = find_deps m id2 in
- M.add i (M.find id1 m @ M.find id2 m @ [id1;id2]) m
+ (* without the uniq there is a stack overflow doing concatenation *)
+ let xxx = [id1;id2] @ M.find id1 m @ M.find id2 m in
+ let xxx = HExtlib.list_uniq (List.sort Pervasives.compare xxx) in
+ M.add i xxx m
;;
let topological_sort l =
(* build the partial order relation *)
- let m =
- List.fold_left (fun m i -> find_deps m i)
- M.empty l
+ let m = List.fold_left (fun m i -> find_deps m i) M.empty l in
+ let m = (* keep only deps inside l *)
+ List.fold_left
+ (fun m' i ->
+ M.add i (List.filter (fun x -> List.mem x l) (M.find i m)) m')
+ M.empty l
in
let m = M.map (fun x -> Some x) m in
(* utils *)
| Some ll -> Some (List.filter (fun i -> not (List.mem i l)) ll))
m
in
- let rec aux m =
+ let rec aux m res =
let keys = keys m in
let ok = split keys m in
let m = purge ok m in
- ok @ (if ok = [] then [] else aux m)
+ let res = ok @ res in
+ if ok = [] then res else aux m res
in
- aux m
+ let rc = List.rev (aux m []) in
+ rc
;;
(* now h is complete *)
let proofs = Hashtbl.fold (fun k count acc-> (k,count)::acc) h [] in
let proofs = List.filter (fun (_,c) -> c > 1) proofs in
- topological_sort (List.map (fun (i,_) -> i) proofs)
+ let res = topological_sort (List.map (fun (i,_) -> i) proofs) in
+ res
;;
-let build_proof_term h lift proof =
+let build_proof_term eq h lift proof =
let proof_of_id aux id =
let p,l,r = proof_of_id id in
try List.assoc id h,l,r with Not_found -> aux p, l, r
in
let rec aux = function
- | Exact term -> CicSubstitution.lift lift term
+ | Exact term ->
+ CicSubstitution.lift lift term
| Step (subst,(rule, id1, (pos,id2), pred)) ->
let p1,_,_ = proof_of_id aux id1 in
let p2,l,r = proof_of_id aux id2 in
| Cic.Lambda (_,a,b) -> Cic.Lambda (varname,a,b)
| _ -> assert false
in
- let p = build_proof_step lift subst p1 p2 pos l r pred in
+ let p = build_proof_step eq lift subst p1 p2 pos l r pred in
(* let cond = (not (List.mem 302 (Utils.metas_of_term p)) || id1 = 8 || id1 = 132) in
if not cond then
prerr_endline ("ERROR " ^ string_of_int id1 ^ " " ^ string_of_int id2);
aux proof
;;
-let build_goal_proof l initial ty se =
+let build_goal_proof eq l initial ty se =
let se = List.map (fun i -> Cic.Meta (i,[])) se in
let lets = get_duplicate_step_in_wfo l initial in
let letsno = List.length lets in
let _,mty,_,_ = open_eq ty in
- let lift_list l = List.map (fun (i,t) -> i,CicSubstitution.lift 1 t) l
- in
+ let lift_list l = List.map (fun (i,t) -> i,CicSubstitution.lift 1 t) l in
let lets,_,h =
List.fold_left
(fun (acc,n,h) id ->
let p,l,r = proof_of_id id in
- let cic = build_proof_term h n p in
+ let cic = build_proof_term eq h n p in
let real_cic,instance =
parametrize_proof cic l r (CicSubstitution.lift n mty)
in
| [] -> current_proof,se
| (rule,pos,id,subst,pred)::tl ->
let p,l,r = proof_of_id id in
- let p = build_proof_term h letsno p in
+ let p = build_proof_term eq h letsno p in
let pos = if pos = Utils.Left then Utils.Right else Utils.Left in
let varname =
match rule with
| _ -> assert false
in
let proof =
- build_proof_step letsno subst current_proof p pos l r pred
+ build_proof_step eq letsno subst current_proof p pos l r pred
in
let proof,se = aux se proof tl in
Subst.apply_subst_lift letsno subst proof,
List.map (fun x -> Subst.apply_subst_lift letsno subst x) se
in
- aux se (build_proof_term h letsno initial) l
+ aux se (build_proof_term eq h letsno initial) l
in
let n,proof =
let initial = proof in
se
;;
-let refl_proof ty term =
- Cic.Appl
- [Cic.MutConstruct
- (Utils.eq_URI (), 0, 1, []);
- ty; term]
+let refl_proof eq_uri ty term =
+ Cic.Appl [Cic.MutConstruct (eq_uri, 0, 1, []); ty; term]
;;
let metas_of_proof p =
- let p = build_proof_term [] 0 p in
+ let eq =
+ match LibraryObjects.eq_URI () with
+ | Some u -> u
+ | None ->
+ raise
+ (ProofEngineTypes.Fail
+ (lazy "No default equality defined when calling metas_of_proof"))
+ in
+ let p = build_proof_term eq [] 0 p in
Utils.metas_of_term p
;;
+let remove_local_context eq =
+ let w, p, (ty, left, right, o), menv,id = open_equality eq in
+ let p = Utils.remove_local_context p in
+ let ty = Utils.remove_local_context ty in
+ let left = Utils.remove_local_context left in
+ let right = Utils.remove_local_context right in
+ w, p, (ty, left, right, o), menv, id
+;;
+
let relocate newmeta menv to_be_relocated =
let subst, newmetasenv, newmeta =
List.fold_right
let menv = Subst.apply_subst_metasenv subst menv @ newmetasenv in
subst, menv, newmeta
+let fix_metas_goal newmeta goal =
+ let (proof, menv, ty) = goal in
+ let to_be_relocated =
+ HExtlib.list_uniq (List.sort Pervasives.compare (Utils.metas_of_term ty))
+ in
+ let subst, menv, newmeta = relocate newmeta menv to_be_relocated in
+ let ty = Subst.apply_subst subst ty in
+ let proof =
+ match proof with
+ | [] -> assert false (* is a nonsense to relocate the initial goal *)
+ | (r,pos,id,s,p) :: tl -> (r,pos,id,Subst.concat subst s,p) :: tl
+ in
+ newmeta+1,(proof, menv, ty)
+;;
let fix_metas newmeta eq =
let w, p, (ty, left, right, o), menv,_ = open_equality eq in
exception TermIsNotAnEquality;;
let term_is_equality term =
- let iseq uri = UriManager.eq uri (Utils.eq_URI ()) in
match term with
- | Cic.Appl [Cic.MutInd (uri, _, _); _; _; _] when iseq uri -> true
+ | Cic.Appl [Cic.MutInd (uri, _, _); _; _; _]
+ when LibraryObjects.is_eq_URI uri -> true
| _ -> false
;;
let equality_of_term proof term =
- let eq_uri = Utils.eq_URI () in
- let iseq uri = UriManager.eq uri eq_uri in
match term with
- | Cic.Appl [Cic.MutInd (uri, _, _); ty; t1; t2] when iseq uri ->
+ | Cic.Appl [Cic.MutInd (uri, _, _); ty; t1; t2]
+ when LibraryObjects.is_eq_URI uri ->
let o = !Utils.compare_terms t1 t2 in
let stat = (ty,t1,t2,o) in
let w = Utils.compute_equality_weight stat in
;;
-let term_of_equality equality =
+let term_of_equality eq_uri equality =
let _, _, (ty, left, right, _), menv, _= open_equality equality in
let eq i = function Cic.Meta (j, _) -> i = j | _ -> false in
let argsno = List.length menv in
let t =
CicSubstitution.lift argsno
- (Cic.Appl [Cic.MutInd (Utils.eq_URI (), 0, []); ty; left; right])
+ (Cic.Appl [Cic.MutInd (eq_uri, 0, []); ty; left; right])
in
snd (
List.fold_right
(Demodulation,id1,(Utils.Left,id),pred))
;;
+module IntOT = struct
+ type t = int
+ let compare = Pervasives.compare
+end
+
+module IntSet = Set.Make(IntOT);;
+
+let n_purged = ref 0;;
+
+let collect alive1 alive2 alive3 =
+ let _ = <:start<collect>> in
+ let deps_of id =
+ let p,_,_ = proof_of_id id in
+ match p with
+ | Exact _ -> IntSet.empty
+ | Step (_,(_,id1,(_,id2),_)) ->
+ IntSet.add id1 (IntSet.add id2 IntSet.empty)
+ in
+ let rec close s =
+ let news = IntSet.fold (fun id s -> IntSet.union (deps_of id) s) s s in
+ if IntSet.equal news s then s else close news
+ in
+ let l_to_s s l = List.fold_left (fun s x -> IntSet.add x s) s l in
+ let alive_set = l_to_s (l_to_s (l_to_s IntSet.empty alive2) alive1) alive3 in
+ let closed_alive_set = close alive_set in
+ let to_purge =
+ Hashtbl.fold
+ (fun k _ s ->
+ if not (IntSet.mem k closed_alive_set) then
+ k::s else s) id_to_eq []
+ in
+ n_purged := !n_purged + List.length to_purge;
+ List.iter (Hashtbl.remove id_to_eq) to_purge;
+ let _ = <:stop<collect>> in ()
+;;
+
+let id_of e =
+ let _,_,_,_,id = open_equality e in id
+;;
+
+let get_stats () =
+ <:show<Equality.>> ^
+ "# of purged eq by the collector: " ^ string_of_int !n_purged ^ "\n"
+;;