X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=helm%2Fsoftware%2Fcomponents%2Fng_tactics%2FnnAuto.ml;h=07d08345c3a7f0f10dc0469466bf0ff2e198baf4;hb=21ee96d317a4f0e7abfe76f697defe78acc10b94;hp=827c1dc46f06a67146cf6d3b1a053971776231bf;hpb=0232b651c37511743ce9e99d517a41adac3a7064;p=helm.git diff --git a/helm/software/components/ng_tactics/nnAuto.ml b/helm/software/components/ng_tactics/nnAuto.ml index 827c1dc46..07d08345c 100644 --- a/helm/software/components/ng_tactics/nnAuto.ml +++ b/helm/software/components/ng_tactics/nnAuto.ml @@ -14,8 +14,8 @@ open Printf let debug = ref false let debug_print ?(depth=0) s = if !debug then prerr_endline (String.make depth '\t'^Lazy.force s) else () -(* let print= debug_print *) - let print ?(depth=0) s = +(* let print = debug_print *) +let print ?(depth=0) s = prerr_endline (String.make depth '\t'^Lazy.force s) let debug_do f = if !debug then f () else () @@ -25,7 +25,65 @@ open NTacStatus module Ast = CicNotationPt let app_counter = ref 0 -(* =================================== paramod =========================== *) +(* ======================= utility functions ========================= *) +module IntSet = Set.Make(struct type t = int let compare = compare end) + +let get_sgoalty status g = + let _,_,metasenv,subst,_ = status#obj in + try + let _, ctx, ty = NCicUtils.lookup_meta g metasenv in + let ty = NCicUntrusted.apply_subst subst ctx ty in + let ctx = NCicUntrusted.apply_subst_context + ~fix_projections:true subst ctx + in + NTacStatus.mk_cic_term ctx ty + with NCicUtils.Meta_not_found _ as exn -> fail ~exn (lazy "get_sgoalty") +;; + +let deps status g = + let gty = get_sgoalty status g in + metas_of_term status gty +;; + +let menv_closure status gl = + let rec closure acc = function + | [] -> acc + | x::l when IntSet.mem x acc -> closure acc l + | x::l -> closure (IntSet.add x acc) (deps status x @ l) + in closure IntSet.empty gl +;; + +(* we call a "fact" an object whose hypothesis occur in the goal + or in types of goal-variables *) +let is_a_fact status ty = + let status, ty, _ = saturate ~delta:max_int status ty in + let g_metas = metas_of_term status ty in + let clos = menv_closure status g_metas in + let _,_,metasenv,_,_ = status#obj in + let menv = + List.fold_left + (fun acc (i,_) -> IntSet.add i acc) + IntSet.empty metasenv + in IntSet.equal clos menv;; + +let is_a_fact_obj s uri = + let obj = NCicEnvironment.get_checked_obj uri in + match obj with + | (_,_,[],[],NCic.Constant(_,_,Some(t),ty,_)) -> + is_a_fact s (mk_cic_term [] ty) +(* aggiungere i costruttori *) + | _ -> false + +let current_goal status = + let open_goals = head_goals status#stack in + assert (List.length open_goals = 1); + let open_goal = List.hd open_goals in + let gty = get_goalty status open_goal in + let ctx = ctx_of gty in + open_goal, ctx, gty + + +(* =============================== paramod =========================== *) let auto_paramod ~params:(l,_) status goal = let gty = get_goalty status goal in let n,h,metasenv,subst,o = status#obj in @@ -44,7 +102,7 @@ let auto_paramod ~params:(l,_) status goal = NCicParamod.nparamod status metasenv subst (ctx_of gty) (NCic.Rel ~-1,t) l with | [] -> raise (Error (lazy "no proof found",None)) - | (pt, metasenv, subst)::_ -> + | (pt, _, metasenv, subst)::_ -> let status = status#set_obj (n,h,metasenv,subst,o) in instantiate status goal (mk_cic_term (ctx_of gty) pt) ;; @@ -53,54 +111,87 @@ let auto_paramod_tac ~params status = NTactics.distribute_tac (auto_paramod ~params) status ;; -let fast_eq_check ~params status goal = - let gty = get_goalty status goal in +let fast_eq_check_all status eq_cache goal = let n,h,metasenv,subst,o = status#obj in - let eq_cache = status#eq_cache in - let status,t = term_of_cic_term status gty (ctx_of gty) in - match - NCicParamod.fast_eq_check status metasenv subst (ctx_of gty) - eq_cache (NCic.Rel ~-1,t) - with - | [] -> raise (Error (lazy "no proof found",None)) - | (pt, metasenv, subst)::_ -> + let gname, ctx, gty = List.assoc goal metasenv in + let gty = NCicUntrusted.apply_subst subst ctx gty in + let build_status (pt, _, metasenv, subst) = + (* let stamp = Unix.gettimeofday () in *) + let metasenv, subst, pt, pty = + NCicRefiner.typeof + (status#set_coerc_db NCicCoercion.empty_db) + metasenv subst ctx pt (Some gty) + in +(* print (lazy (Printf.sprintf "Refined in %fs" + (Unix.gettimeofday() -. stamp))); *) let status = status#set_obj (n,h,metasenv,subst,o) in - instantiate status goal (mk_cic_term (ctx_of gty) pt) + let metasenv = List.filter (fun j,_ -> j <> goal) metasenv in + let subst = (goal,(gname,ctx,pt,pty)) :: subst in + status#set_obj (n,h,metasenv,subst,o) + in + List.map build_status + (NCicParamod.fast_eq_check status metasenv subst ctx + eq_cache (NCic.Rel ~-1,gty)) ;; -let fast_eq_check_tac ~params = - NTactics.distribute_tac (fast_eq_check ~params) +let fast_eq_check eq_cache status goal = + match fast_eq_check_all status eq_cache goal with + | [] -> raise (Error (lazy "no proof found",None)) + | s::_ -> s ;; -(*************** subsumption ****************) -module IntSet = Set.Make(struct type t = int let compare = compare end) -(* exceptions *) +let dist_fast_eq_check eq_cache s = + NTactics.distribute_tac (fast_eq_check eq_cache) s +;; -let get_sgoalty status g = - let _,_,metasenv,subst,_ = status#obj in - try - let _, ctx, ty = NCicUtils.lookup_meta g metasenv in - let ty = NCicUntrusted.apply_subst subst ctx ty in - let ctx = NCicUntrusted.apply_subst_context - ~fix_projections:true subst ctx - in - NTacStatus.mk_cic_term ctx ty - with NCicUtils.Meta_not_found _ as exn -> fail ~exn (lazy "get_sgoalty") +let auto_eq_check eq_cache status = + try + let s = dist_fast_eq_check eq_cache status in + [s] + with + | Error _ -> [] ;; -let deps status g = - let gty = get_sgoalty status g in - metas_of_term status gty +(* warning: ctx is supposed to be already instantiated w.r.t subst *) +let index_local_equations eq_cache status = + let open_goals = head_goals status#stack in + let open_goal = List.hd open_goals in + let ngty = get_goalty status open_goal in + let ctx = ctx_of ngty in + let c = ref 0 in + List.fold_left + (fun eq_cache _ -> + c:= !c+1; + let t = NCic.Rel !c in + try + let ty = NCicTypeChecker.typeof [] [] ctx t in + debug_print(lazy("eq indexing " ^ (NCicPp.ppterm ctx [] [] ty))); + NCicParamod.forward_infer_step eq_cache t ty + with + | NCicTypeChecker.TypeCheckerFailure _ + | NCicTypeChecker.AssertFailure _ -> eq_cache) + eq_cache ctx ;; -let menv_closure status gl = - let rec closure acc = function - | [] -> acc - | x::l when IntSet.mem x acc -> closure acc l - | x::l -> closure (IntSet.add x acc) (deps status x @ l) - in closure IntSet.empty gl +let fast_eq_check_tac ~params s = + let unit_eq = index_local_equations s#eq_cache s in + dist_fast_eq_check unit_eq s ;; +(* +let fast_eq_check_tac_all ~params eq_cache status = + let g,_,_ = current_goal status in + let allstates = fast_eq_check_all status eq_cache g in + let pseudo_low_tac s _ _ = s in + let pseudo_low_tactics = + List.map pseudo_low_tac allstates + in + List.map (fun f -> NTactics.distribute_tac f status) pseudo_low_tactics +;; +*) + +(*************** subsumption ****************) + let close_wrt_context = List.fold_left (fun ty ctx_entry -> @@ -1120,7 +1211,50 @@ let auto_tac ~(dbd:HSql.dbd) ~params:(univ,params) ~automation_cache (proof, goa ;; *) +(****************** smart application ********************) + + +let smart_apply t unit_eq status g = + let n,h,metasenv,subst,o = status#obj in + let gname, ctx, gty = List.assoc g metasenv in + (* let ggty = mk_cic_term context gty in *) + let status, t = disambiguate status ctx t None in + let status,t = term_of_cic_term status t ctx in + let ty = NCicTypeChecker.typeof subst metasenv ctx t in + let ty,metasenv,args = NCicMetaSubst.saturate metasenv subst ctx ty 0 in + let metasenv,j,inst,_ = NCicMetaSubst.mk_meta metasenv ctx `IsTerm in + let status = status#set_obj (n,h,metasenv,subst,o) in + let pterm = if args=[] then t else NCic.Appl(t::args) in + let eq_coerc = + let uri = + NUri.uri_of_string "cic:/matita/ng/Plogic/equality/eq_coerc.con" in + let ref = NReference.reference_of_spec uri (NReference.Def(2)) in + NCic.Const ref + in + let smart = + NCic.Appl[eq_coerc;ty;NCic.Implicit `Type;pterm;inst] in + let smart = mk_cic_term ctx smart in + try + let status = instantiate status g smart in + let _,_,metasenv,subst,_ = status#obj in + let _,ctx,jty = List.assoc j metasenv in + let jty = NCicUntrusted.apply_subst subst ctx jty in + debug_print(lazy("goal " ^ (NCicPp.ppterm ctx [] [] jty))); + fast_eq_check unit_eq status j + with + | Error _ as e -> debug_print (lazy "error"); raise e + +let smart_apply_tac t s = + let unit_eq = index_local_equations s#eq_cache s in + NTactics.distribute_tac (smart_apply t unit_eq) s + +let smart_apply_auto t eq_cache = + NTactics.distribute_tac (smart_apply t eq_cache) + + (****************** types **************) + + type th_cache = (NCic.context * InvRelDiscriminationTree.t) list let keys_of_term status t = @@ -1223,6 +1357,12 @@ type flags = { timeout : float; } +type cache = + {facts : th_cache; (* positive results *) + under_inspection : th_cache; (* to prune looping *) + unit_eq : NCicParamod.state + } + type sort = T | P type goal = int * sort (* goal, depth, sort *) type fail = goal * cic_term @@ -1230,7 +1370,7 @@ type candidate = int * Ast.term (* unique candidate number, candidate *) exception Gaveup of IntSet.t (* a sublist of unprovable conjunctive atoms of the input goals *) -exception Proved of #NTacStatus.tac_status +exception Proved of NTacStatus.tac_status (* let close_failures _ c = c;; *) (* let prunable _ _ _ = false;; *) @@ -1238,28 +1378,36 @@ exception Proved of #NTacStatus.tac_status (* let put_in_subst s _ _ _ = s;; *) (* let add_to_cache_and_del_from_orlist_if_green_cut _ _ c _ _ o f _ = c, o, f, false ;; *) (* let cache_add_underinspection c _ _ = c;; *) -let equational_case _ _ _ _ _ _ = [];; + +let init_cache ?(facts=[]) ?(under_inspection=[]) + ?(unit_eq=NCicParamod.empty_state) _ = + {facts = facts; + under_inspection = under_inspection; + unit_eq = unit_eq + } + let only _ _ _ = true;; let candidate_no = ref 0;; -let sort_new_elems l = - List.sort (fun (_,_,_,_,l1) (_,_,_,_,l2) -> List.length l1 - List.length l2) l -;; +let openg_no status = List.length (head_goals status#stack) -let try_candidate flags depth status t = +let sort_new_elems l = + List.sort (fun (_,s1) (_,s2) -> openg_no s1 - openg_no s2) l + +let try_candidate flags depth status eq_cache t = try debug_print ~depth (lazy ("try " ^ CicNotationPp.pp_term t)); - let status = NTactics.apply_tac ("",0,t) status in - let open_goals = head_goals status#stack in - debug_print ~depth - (lazy ("success: "^String.concat " "(List.map string_of_int open_goals))); - if List.length open_goals > flags.maxwidth || - (depth = flags.maxdepth && open_goals <> []) then + let status = + smart_apply_auto ("",0,t) eq_cache status in + (* let status = NTactics.apply_tac ("",0,t) status in *) + let og_no = openg_no status in + if og_no > flags.maxwidth || + (depth = flags.maxdepth && og_no <> 0) then (debug_print ~depth (lazy "pruned immediately"); None) else (incr candidate_no; - Some ((!candidate_no,t),status,open_goals)) + Some ((!candidate_no,t),status)) with Error (msg,exn) -> debug_print ~depth (lazy "failed"); None ;; @@ -1281,8 +1429,8 @@ let get_candidates status cache signature gty = List.map (function NCic.Const r -> Ast.NRef r | _ -> assert false) cands ;; -let applicative_case depth signature status flags gty cache = - let tcache,_ = cache in +let applicative_case depth signature status flags gty (cache:cache) = + let tcache = cache.facts in app_counter:= !app_counter+1; let candidates = get_candidates status tcache signature gty in debug_print ~depth @@ -1290,7 +1438,7 @@ let applicative_case depth signature status flags gty cache = let elems = List.fold_left (fun elems cand -> - match try_candidate flags depth status cand with + match try_candidate flags depth status cache.unit_eq cand with | None -> elems | Some x -> x::elems) [] candidates @@ -1302,7 +1450,7 @@ exception Found ;; (* gty is supposed to be meta-closed *) -let is_subsumed depth status gty (_,cache) = +let is_subsumed depth status gty cache = if cache=[] then false else ( debug_print ~depth (lazy("Subsuming " ^ (ppterm status gty))); let n,h,metasenv,subst,obj = status#obj in @@ -1343,98 +1491,51 @@ let is_subsumed depth status gty (_,cache) = with Found -> debug_print ~depth (lazy "success");true) ;; - -let equational_and_applicative_case - signature flags status g depth gty cache -= - let elems = - if false (*is_equational_case gty flags*) then - let elems = - equational_case - signature status flags g gty cache - in - let more_elems = - applicative_case depth - signature status flags gty cache - in - elems@more_elems - else - let elems = - (*match LibraryObjects.eq_URI () with - | Some _ -> - smart_applicative_case dbd tables depth s fake_proof goalno - gty m context signature universe cache flags - | None -> *) - applicative_case depth - signature status flags gty cache - in - elems - in - let elems = - List.map (fun c,s,gl -> - c,1,1,s,List.map (fun i -> - let sort = - let gty = get_goalty s i in - let _, sort = typeof s (ctx_of gty) gty in - match term_of_cic_term s sort (ctx_of sort) with - | _, NCic.Sort NCic.Prop -> P - | _ -> T - in - i,sort) gl) elems - in - (* let elems = sort_new_elems elems in *) - elems, cache -;; - -(* warning: ctx is supposed to be already instantiated w.r.t subst *) -let index_local_equations eq_cache ctx = - let c = ref 0 in - List.fold_left - (fun cache _ -> - c:= !c+1; - let t = NCic.Rel 1 in - try - let ty = NCicTypeChecker.typeof [] [] ctx t in - NCicParamod.forward_infer_step eq_cache t ty - with - | NCicTypeChecker.TypeCheckerFailure _ - | NCicTypeChecker.AssertFailure _ -> eq_cache) - eq_cache ctx -;; - let rec guess_name name ctx = if name = "_" then guess_name "auto" ctx else if not (List.mem_assoc name ctx) then name else guess_name (name^"'") ctx ;; -let intro ~depth status (tcache,fcache) name = +let is_prod status = + let _, ctx, gty = current_goal status in + let _, raw_gty = term_of_cic_term status gty ctx in + match raw_gty with + | NCic.Prod (name,_,_) -> Some (guess_name name ctx) + | _ -> None + +let intro ~depth status facts name = let status = NTactics.intro_tac name status in - let open_goals = head_goals status#stack in - assert (List.length open_goals = 1); - let open_goal = List.hd open_goals in - let ngty = get_goalty status open_goal in - let ctx = ctx_of ngty in + let _, ctx, ngty = current_goal status in let t = mk_cic_term ctx (NCic.Rel 1) in let status, keys = keys_of_term status t in - let tcache = List.fold_left (add_to_th t) tcache keys in - debug_print ~depth (lazy ("intro: "^ string_of_int open_goal)); + let facts = List.fold_left (add_to_th t) facts keys in + debug_print ~depth (lazy ("intro: "^ name)); (* unprovability is not stable w.r.t introduction *) - status, (tcache,[]) + status, facts ;; -let rec intros ~depth status cache = - let open_goals = head_goals status#stack in - assert (List.length open_goals = 1); - let open_goal = List.hd open_goals in - let gty = get_goalty status open_goal in - let _, raw_gty = term_of_cic_term status gty (ctx_of gty) in - match raw_gty with - | NCic.Prod (name,_,_) -> - let status,cache = - intro ~depth status cache (guess_name name (ctx_of gty)) - in intros ~depth status cache - | _ -> status, cache, open_goal +let rec intros_facts ~depth status facts = + match is_prod status with + | Some(name) -> + let status,facts = + intro ~depth status facts name + in intros_facts ~depth status facts + | _ -> status, facts +;; + +let rec intros ~depth status (cache:cache) = + match is_prod status with + | Some _ -> + let status,facts = + intros_facts ~depth status cache.facts + in + (* we reindex the equation from scratch *) + let unit_eq = + index_local_equations status#eq_cache status in + (* under_inspection must be set to empty *) + status, init_cache ~facts ~unit_eq () + | _ -> status, cache ;; let reduce ~depth status g = @@ -1451,16 +1552,24 @@ let reduce ~depth status g = in let status = status#set_obj (n,h,metasenv,subst,o) in incr candidate_no; - [(!candidate_no,Ast.Implicit `JustOne),0,0,status,[g,P]]) + [(!candidate_no,Ast.Ident("__whd",None)),status]) ;; let do_something signature flags status g depth gty cache = + (* whd *) let l = reduce ~depth status g in - let l1,cache = - (equational_and_applicative_case - signature flags status g depth gty cache) + (* backward aplications *) + let l1 = applicative_case depth signature status flags gty cache in + (* fast paramodulation *) + let l2 = + List.map + (fun s -> + incr candidate_no; + ((!candidate_no,Ast.Ident("__paramod",None)),s)) + (auto_eq_check cache.unit_eq status) in - sort_new_elems (l@l1), cache + (* states in l2 have have an set of subgoals: no point to sort them *) + l2 @ (sort_new_elems (l@l1)), cache ;; let pp_goal = function @@ -1578,43 +1687,46 @@ let rec auto_clusters and -(* let rec auto_main flags signature cache status k depth = *) +(* the goals returned upon failure are an unsatisfiable subset + of the initial head goals in the stack *) -auto_main flags signature cache depth status: unit = +auto_main flags signature (cache:cache) depth status: unit = debug_print ~depth (lazy "entering auto main"); (* ignore(Unix.select [] [] [] 0.01); *) let status = sort_tac (clean_up_tac status) in let goals = head_goals status#stack in match goals with | [] -> raise (Proved status) - | g::tlg -> + | orig::_ -> + let branch = List.length(goals)>1 in if depth = flags.maxdepth then raise (Gaveup IntSet.empty) else let status = - if tlg=[] then status - else NTactics.branch_tac status in - let status, cache, g = intros ~depth status cache in - let gty = get_goalty status g in + if branch then NTactics.branch_tac status + else status in + let status, cache = intros ~depth status cache in + let g,gctx, gty = current_goal status in let ctx,ty = close status g in let closegty = mk_cic_term ctx ty in - let status, gty = apply_subst status (ctx_of gty) gty in + let status, gty = apply_subst status gctx gty in debug_print ~depth (lazy("Attacking goal " ^ (string_of_int g) ^" : "^ppterm status gty)); - if is_subsumed depth status closegty cache then + if is_subsumed depth status closegty cache.under_inspection then (debug_print (lazy "SUBSUMED"); raise (Gaveup IntSet.add g IntSet.empty)) else let alternatives, cache = do_something signature flags status g depth gty cache in - let loop_cache = - let tcache,fcache = cache in - tcache,add_to_th closegty fcache closegty in + let loop_cache = + let under_inspection = + add_to_th closegty cache.under_inspection closegty in + {cache with under_inspection = under_inspection} in let unsat = List.fold_left (* the underscore information does not need to be returned by do_something *) - (fun unsat ((_,t),_,_,status,_) -> + (fun unsat ((_,t),status) -> let depth',looping_cache = - if t=(Ast.Implicit `JustOne) then depth,cache + if t=Ast.Ident("__whd",None) then depth,cache else depth+1, loop_cache in debug_print (~depth:depth') (lazy ("Case: " ^ CicNotationPp.pp_term t)); @@ -1623,20 +1735,20 @@ auto_main flags signature cache depth status: unit = with | Proved status -> debug_print (~depth:depth') (lazy "proved"); - if tlg=[] then raise (Proved status) - else + if branch then let status = NTactics.merge_tac status - in - ( (* old cache, here *) - try auto_clusters flags signature cache - depth status; assert false - with Gaveup f -> - debug_print ~depth - (lazy ("Unsat1 at depth " ^ (string_of_int depth) + in + (* old cache, here *) + try auto_clusters flags signature cache + depth status; assert false + with Gaveup f -> + debug_print ~depth + (lazy ("Unsat1 at depth " ^ (string_of_int depth) ^ ": " ^ (pp_goals status (IntSet.elements f)))); (* TODO: cache failures *) - IntSet.union f unsat) + IntSet.union f unsat + else raise (Proved status) | Gaveup f -> debug_print (~depth:depth') (lazy ("Unsat2 at depth " ^ (string_of_int depth') @@ -1646,7 +1758,7 @@ auto_main flags signature cache depth status: unit = unsat) IntSet.empty alternatives in - raise (Gaveup IntSet.add g unsat) + raise (Gaveup IntSet.add orig unsat) ;; let int name l def = @@ -1655,9 +1767,13 @@ let int name l def = ;; let auto_tac ~params:(_univ,flags) status = + let oldstatus = status in + let status = (status:> NTacStatus.tac_status) in let goals = head_goals status#stack in - let status, cache = mk_th_cache status goals in -(* pp_th status cache; *) + let status, facts = mk_th_cache status goals in + let unit_eq = index_local_equations status#eq_cache status in + let cache = init_cache ~facts ~unit_eq () in +(* pp_th status facts; *) (* NDiscriminationTree.DiscriminationTree.iter status#auto_cache (fun p t -> debug_print (lazy( @@ -1693,7 +1809,7 @@ let auto_tac ~params:(_univ,flags) status = let _ = debug_print (lazy("\n\nRound "^string_of_int x^"\n")) in let flags = { flags with maxdepth = x } in - try auto_clusters flags signature (cache,[]) 0 status;status + try auto_clusters flags signature cache 0 status;assert false with | Gaveup _ -> up_to (x+1) y | Proved s -> @@ -1703,7 +1819,8 @@ let auto_tac ~params:(_univ,flags) status = | (g,t,k,f) :: rest -> (filter_open g,t,k,f):: rest | _ -> assert false in - s#set_stack stack + let s = s#set_stack stack in + oldstatus#set_status s in let s = up_to depth depth in print(lazy