X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=helm%2Fsoftware%2Fcomponents%2Ftactics%2Fparamodulation%2Fequality.ml;h=7123c134a93a98056655f6cee83e55600b559945;hb=682e142886bf6b67a3c4f872e8e9ec641c7253a9;hp=2dbc618f7eec4a1d735197993661039b0d1de764;hpb=8314921ff537eb5081765ec26cd54ff0a77e08f7;p=helm.git diff --git a/helm/software/components/tactics/paramodulation/equality.ml b/helm/software/components/tactics/paramodulation/equality.ml index 2dbc618f7..7123c134a 100644 --- a/helm/software/components/tactics/paramodulation/equality.ml +++ b/helm/software/components/tactics/paramodulation/equality.ml @@ -29,6 +29,7 @@ type rule = SuperpositionRight | SuperpositionLeft | Demodulation type uncomparable = int -> int + type equality = uncomparable * (* trick to break structural equality *) int * (* weight *) @@ -45,29 +46,30 @@ and proof = (* subst, (rule,eq1, eq2,predicate) *) and goal_proof = (rule * Utils.pos * int * Subst.substitution * Cic.term) list ;; +(* the hashtbl eq_id -> proof, max_eq_id *) +type equality_bag = (int,equality) Hashtbl.t * int ref type goal = goal_proof * Cic.metasenv * Cic.term (* globals *) -let maxid = ref 0;; -let id_to_eq = Hashtbl.create 1024;; +let mk_equality_bag () = + Hashtbl.create 1024, ref 0 +;; -let freshid () = - incr maxid; !maxid +let freshid (_,i) = + incr i; !i ;; -let reset () = - maxid := 0; - Hashtbl.clear id_to_eq +let add_to_bag (id_to_eq,_) id eq = + Hashtbl.add id_to_eq id eq ;; let uncomparable = fun _ -> 0 -let mk_equality (weight,p,(ty,l,r,o),m) = - let id = freshid () in +let mk_equality bag (weight,p,(ty,l,r,o),m) = + let id = freshid bag in let eq = (uncomparable,weight,p,(ty,l,r,o),m,id) in - Hashtbl.add id_to_eq id eq; - + add_to_bag bag id eq; eq ;; @@ -94,8 +96,8 @@ let string_of_equality ?env eq = id w (CicPp.ppterm ty) (CicPp.ppterm left) (Utils.string_of_comparison o) (CicPp.ppterm right) - (*(String.concat ", " (List.map (fun (i,_,_) -> string_of_int i) m))*) - "..." +(* (String.concat ", " (List.map (fun (i,_,_) -> string_of_int i) m)) *) + "..." | Some (_, context, _) -> let names = Utils.names_of_context context in let w, _, (ty, left, right, o), m , id = open_equality eq in @@ -111,7 +113,7 @@ let compare (_,_,_,s1,_,_) (_,_,_,s2,_,_) = Pervasives.compare s1 s2 ;; -let rec max_weight_in_proof current = +let rec max_weight_in_proof ((id_to_eq,_) as bag) current = function | Exact _ -> current | Step (_, (_,id1,(_,id2),_)) -> @@ -120,23 +122,23 @@ let rec max_weight_in_proof current = let (w1,p1,(_,_,_,_),_,_) = open_equality eq1 in let (w2,p2,(_,_,_,_),_,_) = open_equality eq2 in let current = max current w1 in - let current = max_weight_in_proof current p1 in + let current = max_weight_in_proof bag current p1 in let current = max current w2 in - max_weight_in_proof current p2 + max_weight_in_proof bag current p2 -let max_weight_in_goal_proof = +let max_weight_in_goal_proof ((id_to_eq,_) as bag) = List.fold_left (fun current (_,_,id,_,_) -> let eq = Hashtbl.find id_to_eq id in let (w,p,(_,_,_,_),_,_) = open_equality eq in let current = max current w in - max_weight_in_proof current p) + max_weight_in_proof bag current p) -let max_weight goal_proof proof = - let current = max_weight_in_proof 0 proof in - max_weight_in_goal_proof current goal_proof +let max_weight bag goal_proof proof = + let current = max_weight_in_proof bag 0 proof in + max_weight_in_goal_proof bag current goal_proof -let proof_of_id id = +let proof_of_id (id_to_eq,_) id = try let (_,p,(_,l,r,_),_,_) = open_equality (Hashtbl.find id_to_eq id) in p,l,r @@ -144,7 +146,7 @@ let proof_of_id id = Not_found -> assert false -let string_of_proof ?(names=[]) p gp = +let string_of_proof ?(names=[]) bag p gp = let str_of_pos = function | Utils.Left -> "left" | Utils.Right -> "right" @@ -159,8 +161,8 @@ let string_of_proof ?(names=[]) p gp = Printf.sprintf "%s%s(%s|%d with %d dir %s pred %s))\n" prefix (string_of_rule rule) (Subst.ppsubst ~names subst) eq1 eq2 (str_of_pos pos) (CicPp.pp pred names)^ - aux (margin+1) (Printf.sprintf "%d" eq1) (fst3 (proof_of_id eq1)) ^ - aux (margin+1) (Printf.sprintf "%d" eq2) (fst3 (proof_of_id eq2)) + aux (margin+1) (Printf.sprintf "%d" eq1) (fst3 (proof_of_id bag eq1)) ^ + aux (margin+1) (Printf.sprintf "%d" eq2) (fst3 (proof_of_id bag eq2)) in aux 0 "" p ^ String.concat "\n" @@ -169,11 +171,11 @@ let string_of_proof ?(names=[]) p gp = (Printf.sprintf "GOAL: %s %s %d %s %s\n" (string_of_rule r) (str_of_pos pos) i (Subst.ppsubst ~names s) (CicPp.pp t names)) ^ - aux 1 (Printf.sprintf "%d " i) (fst3 (proof_of_id i))) + aux 1 (Printf.sprintf "%d " i) (fst3 (proof_of_id bag i))) gp) ;; -let rec depend eq id seen = +let rec depend ((id_to_eq,_) as bag) eq id seen = let (_,p,(_,_,_,_),_,ideq) = open_equality eq in if List.mem ideq seen then false,seen @@ -187,11 +189,11 @@ let rec depend eq id seen = let seen = ideq::seen in let eq1 = Hashtbl.find id_to_eq id1 in let eq2 = Hashtbl.find id_to_eq id2 in - let b1,seen = depend eq1 id seen in - if b1 then b1,seen else depend eq2 id seen + let b1,seen = depend bag eq1 id seen in + if b1 then b1,seen else depend bag eq2 id seen ;; -let depend eq id = fst (depend eq id []);; +let depend bag eq id = fst (depend bag eq id []);; let ppsubst = Subst.ppsubst ~names:[];; @@ -223,7 +225,8 @@ let mk_trans uri ty t1 t2 t3 p12 p23 = ;; let mk_eq_ind uri ty what pred p1 other p2 = - Cic.Appl [Cic.Const (uri, []); ty; what; pred; p1; other; p2] + let ens, args = build_ens uri [ty; what; pred; p1; other; p2] in + Cic.Appl (Cic.Const (uri, ens) :: args) ;; let p_of_sym ens tl = @@ -265,34 +268,6 @@ let is_not_fixed t = CicSubstitution.subst (Cic.Rel 1) t ;; -let head_of_apply = function | Cic.Appl (hd::_) -> hd | t -> t;; -let tail_of_apply = function | Cic.Appl (_::tl) -> tl | t -> [];; -let count_args t = List.length (tail_of_apply t);; -let rec build_nat = - let u = UriManager.uri_of_string "cic:/matita/nat/nat/nat.ind" in - function - | 0 -> Cic.MutConstruct(u,0,1,[]) - | n -> - Cic.Appl [Cic.MutConstruct(u,0,2,[]);build_nat (n-1)] -;; -let tyof context menv t = - try - fst(CicTypeChecker.type_of_aux' menv context t CicUniv.empty_ugraph) - with - | CicTypeChecker.TypeCheckerFailure _ - | CicTypeChecker.AssertFailure _ -> assert false -;; -let rec lambdaof left context = function - | Cic.Prod (n,s,t) -> - Cic.Lambda (n,s,lambdaof left context t) - | Cic.Appl [Cic.MutInd (uri, 0,_);ty;l;r] - when LibraryObjects.is_eq_URI uri -> if left then l else r - | t -> - let names = Utils.names_of_context context in - prerr_endline ("lambdaof: " ^ (CicPp.pp t names)); - assert false -;; - let canonical t context menv = let rec remove_refl t = match t with @@ -333,54 +308,6 @@ let canonical t context menv = Cic.Const (LibraryObjects.eq_f_sym_URI ~eq, []) in Cic.Appl (([eq_f_sym;ty1;ty2;f;x;y;p])) - -(* - let sym_eq = Cic.Const(uri_sym,ens) in - let eq_f = Cic.Const(uri_feq,[]) in - let b = Cic.MutConstruct (UriManager.uri_of_string - "cic:/matita/datatypes/bool/bool.ind",0,1,[]) - in - let u = ty1 in - let ctx = f in - let n = build_nat (count_args p) in - let h = head_of_apply p in - let predl = lambdaof true context (tyof context menv h) in - let predr = lambdaof false context (tyof context menv h) in - let args = tail_of_apply p in - let appl = - Cic.Appl - ([Cic.Const(UriManager.uri_of_string - "cic:/matita/paramodulation/rewrite.con",[]); - eq; sym_eq; eq_f; b; u; ctx; n; predl; predr; h] @ - args) - in - appl -*) -(* - | Cic.Appl (((Cic.Const(uri_ind,ens)) as he)::tl) - when LibraryObjects.is_eq_ind_URI uri_ind || - LibraryObjects.is_eq_ind_r_URI uri_ind -> - let ty, what, pred, p1, other, p2 = - match tl with - | [ty;what;pred;p1;other;p2] -> ty, what, pred, p1, other, p2 - | _ -> assert false - in - let pred,l,r = - match pred with - | Cic.Lambda (name,s,Cic.Appl [Cic.MutInd(uri,0,ens);ty;l;r]) - when LibraryObjects.is_eq_URI uri -> - Cic.Lambda - (name,s,Cic.Appl [Cic.MutInd(uri,0,ens);ty;r;l]),l,r - | _ -> - prerr_endline (CicPp.ppterm pred); - assert false - in - let l = CicSubstitution.subst what l in - let r = CicSubstitution.subst what r in - Cic.Appl - [he;ty;what;pred; - canonical (mk_sym uri_sym ty l r p1);other;canonical p2] -*) | Cic.Appl [Cic.MutConstruct (uri, 0, 1,_);_;_] as t when LibraryObjects.is_eq_URI uri -> t | _ -> Cic.Appl (List.map (canonical context) args)) @@ -390,11 +317,6 @@ let canonical t context menv = remove_refl (canonical context t) ;; -let ty_of_lambda = function - | Cic.Lambda (_,ty,_) -> ty - | _ -> assert false -;; - let compose_contexts ctx1 ctx2 = ProofEngineReduction.replace_lifting ~equality:(=) ~what:[Cic.Implicit(Some `Hole)] ~with_what:[ctx2] ~where:ctx1 @@ -406,11 +328,13 @@ let put_in_ctx ctx t = ;; let mk_eq uri ty l r = - Cic.Appl [Cic.MutInd(uri,0,[]);ty;l;r] + let ens, args = build_ens uri [ty; l; r] in + Cic.Appl (Cic.MutInd(uri,0,ens) :: args) ;; let mk_refl uri ty t = - Cic.Appl [Cic.MutConstruct(uri,0,1,[]);ty;t] + let ens, args = build_ens uri [ty; t] in + Cic.Appl (Cic.MutConstruct(uri,0,1,ens) :: args) ;; let open_eq = function @@ -420,7 +344,8 @@ let open_eq = function ;; let mk_feq uri_feq ty ty1 left pred right t = - Cic.Appl [Cic.Const(uri_feq,[]);ty;ty1;pred;left;right;t] + let ens, args = build_ens uri_feq [ty;ty1;pred;left;right;t] in + Cic.Appl (Cic.Const(uri_feq,ens) :: args) ;; let rec look_ahead aux = function @@ -576,9 +501,11 @@ let parametrize_proof p l r ty = 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 +*) let what = List.map (fun (i,l) -> Cic.Meta (i,l)) parameters in let with_what, lift_no = List.fold_right (fun _ (acc,n) -> ((Cic.Rel n)::acc),n+1) what ([],1) @@ -610,9 +537,9 @@ let parametrize_proof p l r ty = proof, instance ;; -let wfo goalproof proof id = +let wfo bag goalproof proof id = let rec aux acc id = - let p,_,_ = proof_of_id id in + let p,_,_ = proof_of_id bag id in match p with | Exact _ -> if (List.mem id acc) then acc else id :: acc | Step (_,(_,id1, (_,id2), _)) -> @@ -628,7 +555,7 @@ let wfo goalproof proof id = List.fold_left (fun acc (_,_,id,_,_) -> aux acc id) acc goalproof ;; -let string_of_id names id = +let string_of_id (id_to_eq,_) names id = if id = 0 then "" else try let (_,p,(_,l,r,_),m,_) = open_equality (Hashtbl.find id_to_eq id) in @@ -647,8 +574,8 @@ let string_of_id names id = with Not_found -> assert false -let pp_proof names goalproof proof subst id initial_goal = - String.concat "\n" (List.map (string_of_id names) (wfo goalproof proof id)) ^ +let pp_proof bag names goalproof proof subst id initial_goal = + String.concat "\n" (List.map (string_of_id bag names) (wfo bag goalproof proof id)) ^ "\ngoal:\n " ^ (String.concat "\n " (fst (List.fold_right @@ -673,24 +600,24 @@ module OT = module M = Map.Make(OT) -let rec find_deps m i = +let rec find_deps bag m i = if M.mem i m then m else - let p,_,_ = proof_of_id i in + let p,_,_ = proof_of_id bag i in match p with | Exact _ -> M.add i [] m | Step (_,(_,id1,(_,id2),_)) -> - let m = find_deps m id1 in - let m = find_deps m id2 in + let m = find_deps bag m id1 in + let m = find_deps bag m id2 in (* 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 = +let topological_sort bag l = (* build the partial order relation *) - let m = List.fold_left (fun m i -> find_deps m i) M.empty l in + let m = List.fold_left (fun m i -> find_deps bag m i) M.empty l in let m = (* keep only deps inside l *) List.fold_left (fun m' i -> @@ -722,14 +649,14 @@ let topological_sort l = (* returns the list of ids that should be factorized *) -let get_duplicate_step_in_wfo l p = +let get_duplicate_step_in_wfo bag l p = let ol = List.rev l in let h = Hashtbl.create 13 in (* NOTE: here the n parameter is an approximation of the dependency between equations. To do things seriously we should maintain a dependency graph. This approximation is not perfect. *) let add i = - let p,_,_ = proof_of_id i in + let p,_,_ = proof_of_id bag i in match p with | Exact _ -> true | _ -> @@ -744,23 +671,23 @@ let get_duplicate_step_in_wfo l p = | Step (_,(_,i1,(_,i2),_)) -> let go_on_1 = add i1 in let go_on_2 = add i2 in - if go_on_1 then aux (let p,_,_ = proof_of_id i1 in p); - if go_on_2 then aux (let p,_,_ = proof_of_id i2 in p) + if go_on_1 then aux (let p,_,_ = proof_of_id bag i1 in p); + if go_on_2 then aux (let p,_,_ = proof_of_id bag i2 in p) in aux p; List.iter - (fun (_,_,id,_,_) -> aux (let p,_,_ = proof_of_id id in p)) + (fun (_,_,id,_,_) -> aux (let p,_,_ = proof_of_id bag id in p)) ol; (* 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 - let res = topological_sort (List.map (fun (i,_) -> i) proofs) in + let res = topological_sort bag (List.map (fun (i,_) -> i) proofs) in res ;; -let build_proof_term eq h lift proof = +let build_proof_term bag eq h lift proof = let proof_of_id aux id = - let p,l,r = proof_of_id id in + let p,l,r = proof_of_id bag id in try List.assoc id h,l,r with Not_found -> aux p, l, r in let rec aux = function @@ -790,17 +717,17 @@ let build_proof_term eq h lift proof = aux proof ;; -let build_goal_proof eq l initial ty se context menv = +let build_goal_proof 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 l initial in + let lets = get_duplicate_step_in_wfo bag 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 lets,_,h = List.fold_left (fun (acc,n,h) id -> - let p,l,r = proof_of_id id in - let cic = build_proof_term eq h n p in + let p,l,r = proof_of_id bag id in + let cic = build_proof_term bag eq h n p in let real_cic,instance = parametrize_proof cic l r (CicSubstitution.lift n mty) in @@ -812,8 +739,8 @@ let build_goal_proof eq l initial ty se context menv = let rec aux se current_proof = function | [] -> current_proof,se | (rule,pos,id,subst,pred)::tl -> - let p,l,r = proof_of_id id in - let p = build_proof_term eq h letsno p in + 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 varname = match rule with @@ -831,9 +758,9 @@ let build_goal_proof eq l initial ty se context menv = 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 + List.map (fun x -> Subst.apply_subst(*_lift letsno*) subst x) se in - aux se (build_proof_term eq h letsno initial) l + aux se (build_proof_term bag eq h letsno initial) l in let n,proof = let initial = proof in @@ -855,7 +782,7 @@ let refl_proof eq_uri ty term = Cic.Appl [Cic.MutConstruct (eq_uri, 0, 1, []); ty; term] ;; -let metas_of_proof p = +let metas_of_proof bag p = let eq = match LibraryObjects.eq_URI () with | Some u -> u @@ -864,7 +791,7 @@ let metas_of_proof p = (ProofEngineTypes.Fail (lazy "No default equality defined when calling metas_of_proof")) in - let p = build_proof_term eq [] 0 p in + let p = build_proof_term bag eq [] 0 p in Utils.metas_of_term p ;; @@ -906,7 +833,7 @@ let fix_metas_goal newmeta goal = newmeta+1,(proof, menv, ty) ;; -let fix_metas newmeta eq = +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 *) @@ -924,17 +851,18 @@ let fix_metas newmeta eq = Step (Subst.concat s subst,(r,id1,(pos,id2), pred)) in let p = fix_proof p in - let eq' = mk_equality (w, p, (ty, left, right, o), metasenv) in + let eq' = mk_equality bag (w, p, (ty, left, right, o), metasenv) in newmeta+1, eq' exception NotMetaConvertible;; let meta_convertibility_aux table t1 t2 = let module C = Cic in - let rec aux ((table_l, table_r) as table) t1 t2 = + let rec aux ((table_l,table_r) as table) t1 t2 = match t1, t2 with + | C.Meta (m1, tl1), C.Meta (m2, tl2) when m1 = m2 -> table + | C.Meta (m1, tl1), C.Meta (m2, tl2) when m1 < m2 -> aux table t2 t1 | C.Meta (m1, tl1), C.Meta (m2, tl2) -> - let tl1, tl2 = [],[] in let m1_binding, table_l = try List.assoc m1 table_l, table_l with Not_found -> m2, (m1, m2)::table_l @@ -944,18 +872,7 @@ let meta_convertibility_aux table t1 t2 = in if (m1_binding <> m2) || (m2_binding <> m1) then raise NotMetaConvertible - else ( - try - List.fold_left2 - (fun res t1 t2 -> - match t1, t2 with - | None, Some _ | Some _, None -> raise NotMetaConvertible - | None, None -> res - | Some t1, Some t2 -> (aux res t1 t2)) - (table_l, table_r) tl1 tl2 - with Invalid_argument _ -> - raise NotMetaConvertible - ) + else table_l,table_r | C.Var (u1, ens1), C.Var (u2, ens2) | C.Const (u1, ens1), C.Const (u2, ens2) when (UriManager.eq u1 u2) -> aux_ens table ens1 ens2 @@ -1031,12 +948,12 @@ let meta_convertibility_eq eq1 eq2 = true else try - let table = meta_convertibility_aux ([], []) left left' in + let table = meta_convertibility_aux ([],[]) left left' in let _ = meta_convertibility_aux table right right' in true with NotMetaConvertible -> try - let table = meta_convertibility_aux ([], []) left right' in + let table = meta_convertibility_aux ([],[]) left right' in let _ = meta_convertibility_aux table right left' in true with NotMetaConvertible -> @@ -1049,7 +966,7 @@ let meta_convertibility t1 t2 = true else try - ignore(meta_convertibility_aux ([], []) t1 t2); + ignore(meta_convertibility_aux ([],[]) t1 t2); true with NotMetaConvertible -> false @@ -1064,14 +981,14 @@ let term_is_equality term = | _ -> false ;; -let equality_of_term proof term = +let equality_of_term bag proof term = match term with | 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 e = mk_equality (w, Exact proof, stat,[]) in + let e = mk_equality bag (w, Exact proof, stat,[]) in e | _ -> raise TermIsNotAnEquality @@ -1079,14 +996,16 @@ let equality_of_term proof term = let is_weak_identity eq = let _,_,(_,left, right,_),_,_ = open_equality eq in - left = right || meta_convertibility left right + left = right + (* doing metaconv here is meaningless *) ;; let is_identity (_, context, ugraph) eq = let _,_,(ty,left,right,_),menv,_ = open_equality eq in - left = right || - (* (meta_convertibility left right)) *) - fst (CicReduction.are_convertible ~metasenv:menv context left right ugraph) + (* doing metaconv here is meaningless *) + left = right +(* fst (CicReduction.are_convertible ~metasenv:menv context left right ugraph) + * *) ;; @@ -1112,7 +1031,7 @@ let term_of_equality eq_uri equality = menv (argsno, t)) ;; -let symmetric eq_ty l id uri m = +let symmetric bag eq_ty l id uri m = let eq = Cic.MutInd(uri,0,[]) in let pred = Cic.Lambda (Cic.Name "Sym",eq_ty, @@ -1125,7 +1044,7 @@ let symmetric eq_ty l id uri m = [Cic.MutConstruct(uri,0,1,[]);eq_ty;l]) in let id1 = - let eq = mk_equality (0,prefl,(eq_ty,l,l,Utils.Eq),m) in + let eq = mk_equality bag (0,prefl,(eq_ty,l,l,Utils.Eq),m) in let (_,_,_,_,id) = open_equality eq in id in @@ -1142,10 +1061,10 @@ module IntSet = Set.Make(IntOT);; let n_purged = ref 0;; -let collect alive1 alive2 alive3 = +let collect ((id_to_eq,_) as bag) alive1 alive2 alive3 = (* let _ = <:start> in *) let deps_of id = - let p,_,_ = proof_of_id id in + let p,_,_ = proof_of_id bag id in match p with | Exact _ -> IntSet.empty | Step (_,(_,id1,(_,id2),_)) ->