From: Andrea Berlingieri Date: Sun, 12 May 2019 15:19:18 +0000 (+0200) Subject: Add support for proving cases in a different order X-Git-Tag: make_still_working~229^2~1^2~1^2~5 X-Git-Url: http://matita.cs.unibo.it/gitweb/?p=helm.git;a=commitdiff_plain;h=90e823f96159811d88b275df9c3ec9a4c40ff816 Add support for proving cases in a different order Add some debug pretty printing methods and tactics. Add a tactic to add names to metasenv goals from a given constructor list Modify "we_proceed_by_induction_on" to gather info on the inductive type of the term being eliminated, apply the right constructor to the right number of Implicit arguments, and name the new open goals Modify "we_proceed_by_cases_on" in an analogous way to "we_proceed_by_induction_on" Add a tactic to focus on a given case, if present, with helper functions for it Modify case to search for the given case and focus on it Modify indtyinfo to memorize also the costructor list of the inductive type Remove a useless if-then-else in index_local_equations2 Remove some old code, comments and trailing spaces --- diff --git a/matita/components/ng_tactics/declarative.ml b/matita/components/ng_tactics/declarative.ml index 0802edd1d..f8f0ae969 100644 --- a/matita/components/ng_tactics/declarative.ml +++ b/matita/components/ng_tactics/declarative.ml @@ -45,15 +45,9 @@ let extract_first_goal_from_status status = | [] -> fail (lazy "There's nothing to prove") | (g1, _, k, tag1) :: tl -> let goals = filter_open g1 in - let (loc::tl) = goals in + let (loc::tl) = goals in let goal = goal_of_loc (loc) in goal ;; - (* - let (_,_,metasenv,_,_) = status#obj in - match metasenv with - | [] -> fail (lazy "There's nothing to prove") - | (hd,_) :: tl -> hd - *) let extract_conclusion_type status goal = let gty = get_goalty status goal in @@ -77,8 +71,8 @@ let alpha_eq_tacterm_kerterm ty t status goal = let are_convertible ty1 ty2 status goal = let gty = get_goalty status goal in let ctx = ctx_of gty in - let status,cicterm1 = disambiguate status ctx ty1 `XTNone (*(`XTSome (mk_cic_term ctx t))*) in - let status,cicterm2 = disambiguate status ctx ty2 `XTNone (*(`XTSome (mk_cic_term ctx t))*) in + let status,cicterm1 = disambiguate status ctx ty1 `XTNone in + let status,cicterm2 = disambiguate status ctx ty2 `XTNone in NTacStatus.are_convertible status ctx cicterm1 cicterm2 (* LCF-like tactic that checks whether the conclusion of the sequent of the given goal is a product, checks that @@ -106,9 +100,8 @@ let lambda_abstract_tac id t1 t2 status goal = raise FirstTypeWrong | _ -> raise NotAProduct -let assume name ty eqty (*status*) = -(* let goal = extract_first_goal_from_status status in *) - distribute_tac (fun status goal -> +let assume name ty eqty = + distribute_tac (fun status goal -> try exec (lambda_abstract_tac name ty eqty status goal) status goal with | NotAProduct -> fail (lazy "You can't assume without an universal quantification") @@ -117,8 +110,7 @@ let assume name ty eqty (*status*) = ) ;; -let suppose t1 id t2 (*status*) = -(* let goal = extract_first_goal_from_status status in *) +let suppose t1 id t2 = distribute_tac (fun status goal -> try exec (lambda_abstract_tac id t1 t2 status goal) status goal with @@ -154,90 +146,11 @@ let mustdot status = let bydone just status = let goal = extract_first_goal_from_status status in let mustdot = mustdot status in -(* - let goal,mustdot = - let s = status#stack in - match s with - | [] -> fail (lazy "Invalid use of done") - | (g1, _, k, tag1) :: tl -> - let goals = filter_open g1 in - let (loc::tl) = goals in - let goal = goal_of_loc (loc) in - if List.length k > 0 then - goal,true - else - goal,false - in - - *) -(* - let goals = filter_open g1 in - let (loc::tl) = goals in - let goal = goal_of_loc (loc) in - if tag1 == `BranchTag then - if List.length (shift_goals s) > 0 then (* must simply shift *) - ( - prerr_endline (pp status#stack); - prerr_endline "Head goals:"; - List.map (fun goal -> prerr_endline (string_of_int goal)) (head_goals status#stack); - prerr_endline "Shift goals:"; - List.map (fun goal -> prerr_endline (string_of_int goal)) (shift_goals status#stack); - prerr_endline "Open goals:"; - List.map (fun goal -> prerr_endline (string_of_int goal)) (open_goals status#stack); - if tag2 == `BranchTag && g2 <> [] then - goal,true,false,false - else if tag2 == `BranchTag then - goal,false,true,true - else - goal,false,true,false - ) - else - ( - if tag2 == `BranchTag then - goal,false,true,true - else - goal,false,true,false - ) - else - goal,false,false,false (* It's a strange situation, there's is an underlying level on the - stack but the current one was not created by a branch? Should be - an error *) - | (g, _, _, tag) :: [] -> - let (loc::tl) = filter_open g in - let goal = goal_of_loc (loc) in - if tag == `BranchTag then -(* let goals = filter_open g in *) - goal,false,true,false - else - goal,false,false,false - in - *) let l = [mk_just status goal just] in let l = if mustdot then List.append l [dot_tac] else l in - (* - let l = - if mustmerge then List.append l [merge_tac] else l - in - let l = - if mustmergetwice then List.append l [merge_tac] else l - in - *) block_tac l status -(* - let (_,_,metasenv,subst,_) = status#obj in - let goal,last = - match metasenv with - | [] -> fail (lazy "There's nothing to prove") - | (_,_) :: (hd,_) :: tl -> hd,false - | (hd,_) :: tl -> hd,true - in - if last then - mk_just status goal just status - else - block_tac [ mk_just status goal just; shift_tac ] status -*) ;; let we_need_to_prove t id t1 status = @@ -315,7 +228,7 @@ let by_just_we_proved just ty id ty' status = ) ;; -let existselim just id1 t1 t2 id2 (*status*) = +let existselim just id1 t1 t2 id2 = distribute_tac (fun status goal -> let (_,_,t1) = t1 in let (_,_,t2) = t2 in @@ -333,8 +246,7 @@ let existselim just id1 t1 t2 id2 (*status*) = ) ;; -let andelim just t1 id1 t2 id2 (*status*) = -(* let goal = extract_first_goal_from_status status in *) +let andelim just t1 id1 t2 id2 = distribute_tac (fun status goal -> let (_,_,t1) = t1 in let (_,_,t2) = t2 in @@ -379,7 +291,7 @@ let obtain id t1 status = let _,ty = term_of_cic_term status cicty ctx in let (_,_,t1) = t1 in block_tac [ cut_tac ("",0,(Ast.Appl [Ast.Ident ("eq",None); Ast.NCic ty; t1; Ast.Implicit - `JustOne])); + `JustOne])); swap_first_two_goals_tac; branch_tac; shift_tac; shift_tac; intro_tac id; merge_tac; dot_tac; ] @@ -449,102 +361,107 @@ let rewritingstep rhs just last_step status = prepare continuation ;; -(* - let goal = extract_first_goal_from_status status in - let cicgty = get_goalty status goal in - let ctx = ctx_of cicgty in - let _,gty = term_of_cic_term status cicgty ctx in - let cicty = type_of_tactic_term status ctx rhs in - let _,ty = term_of_cic_term status cicty ctx in - let just' = (* Extraction of the ""justification"" from the ad hoc justification *) - match just with - `Auto (univ, params) -> - let params = - if not (List.mem_assoc "timeout" params) then - ("timeout","3")::params - else params - in - let params' = - if not (List.mem_assoc "paramodulation" params) then - ("paramodulation","1")::params - else params - in - if params = params' then NnAuto.auto_lowtac ~params:(univ, params) status goal - else - first_tac [NnAuto.auto_lowtac ~params:(univ, params) status goal; NnAuto.auto_lowtac - ~params:(univ, params') status goal] - | `Term just -> apply_tac just - | `SolveWith term -> NnAuto.demod_tac ~params:(Some [term], ["all","1";"steps","1"; "use_ctx","false"]) - | `Proof -> id_tac +let rec pp_metasenv_names (metasenv:NCic.metasenv) = + match metasenv with + [] -> "" + | hd :: tl -> + let n,conj = hd in + let meta_attrs,_,_ = conj in + let rec find_name_aux meta_attrs = match meta_attrs with + [] -> "Anonymous" + | hd :: tl -> match hd with + `Name n -> n + | _ -> find_name_aux tl + in + let name = find_name_aux meta_attrs + in + "[Goal: " ^ (string_of_int n) ^ ", Name: " ^ name ^ "]; " ^ (pp_metasenv_names tl) +;; + +let print_goals_names_tac s (status:#NTacStatus.tac_status) = + let (_,_,metasenv,_,_) = status#obj in + prerr_endline (s ^" -> Metasenv: " ^ (pp_metasenv_names metasenv)); status + +let add_names_to_goals_tac (cl:NCic.constructor list ref) (status:#NTacStatus.tac_status) = + let (olduri,oldint,metasenv,oldsubst,oldkind) = status#obj in + let rec remove_name_from_metaattrs mattrs = + match mattrs with + [] -> [] + | hd :: tl -> + match hd with + `Name n -> remove_name_from_metaattrs tl + | _ as it -> it :: (remove_name_from_metaattrs tl) in - let plhs,prhs,prepare = - match lhs with - None -> (* = E2 *) - let plhs,prhs = - match gty with (* Extracting the lhs and rhs of the previous equality *) - NCic.Appl [_;_;plhs;prhs] -> plhs,prhs - | _ -> fail (lazy "You are not building an equaility chain") - in - plhs,prhs, - (fun continuation -> continuation status) - | Some (None,lhs) -> (* conclude *) - let plhs,prhs = - match gty with - NCic.Appl [_;_;plhs;prhs] -> plhs,prhs - | _ -> fail (lazy "You are not building an equaility chain") - in - (*TODO*) - (*CSC: manca check plhs convertibile con lhs *) - plhs,prhs, - (fun continuation -> continuation status) - | Some (Some name,lhs) -> (* obtain *) - NCic.Rel 1, NCic.Rel 1, (* continuation for this case is gonna be ignored, so it doesn't - matter what the values of these two are *) - (fun continuation -> - let (_,_,lhs) = lhs in - block_tac [ cut_tac ("",0,(Ast.Appl [Ast.Ident ("eq",None); Ast.NCic ty; lhs; Ast.Implicit - `JustOne])); - swap_first_two_goals_tac; - branch_tac; shift_tac; shift_tac; intro_tac name; merge_tac; dot_tac; -(* - change_tac ~where:("",0,(None,[],Some Ast.Appl[Ast.Implicit `JustOne;Ast.Implicit - `JustOne; Ast.UserInput; Ast.Implicit `JustOne])) - ~with_what:rhs -*) - ] - status - ) + let rec add_names_to_metasenv cl metasenv = + match cl with + [] -> metasenv + | hd :: tl -> + let _,consname,_ = hd + in match metasenv with + [] -> [] + | mhd :: mtl -> + let gnum,conj = mhd in + let mattrs,ctx,t = conj in + let mattrs = [`Name consname] @ (remove_name_from_metaattrs mattrs) + in + let newconj = mattrs,ctx,t in + let newmeta = gnum,newconj in + newmeta :: (add_names_to_metasenv tl mtl) in - let continuation = - if last_step then - (*CSC:manca controllo sul fatto che rhs sia convertibile con prhs*) - let todo = [just'] in - let todo = if mustdot status then List.append todo [dot_tac] else todo - in - block_tac todo - else - let (_,_,rhs) = rhs in - block_tac [apply_tac ("",0,Ast.Appl [Ast.Ident ("trans_eq",None); Ast.NCic ty; Ast.NCic plhs; - rhs; Ast.NCic prhs]); branch_tac; just'; merge_tac] - in - prepare continuation -;; - *) + let newmetasenv = add_names_to_metasenv !cl metasenv in + status#set_obj (olduri,oldint,newmetasenv,oldsubst,oldkind) -let we_proceed_by_cases_on t1 t2 status = +let we_proceed_by_induction_on t1 t2 status = let goal = extract_first_goal_from_status status in + let txt,len,t1 = t1 in + let t1 = txt, len, Ast.Appl [t1; Ast.Implicit `Vector] in + let indtyinfo = ref None in + let sort = ref (NCic.Rel 1) in + let cl = ref [] in try - assert_tac t2 None status goal (block_tac [cases_tac ~what:t1 ~where:("",0,(None,[],Some - Ast.UserInput)); - dot_tac] status) + assert_tac t2 None status goal (block_tac [ + analyze_indty_tac ~what:t1 indtyinfo; + sort_of_goal_tac sort; + (fun status -> + let ity = HExtlib.unopt !indtyinfo in + let NReference.Ref (uri, _) = ref_of_indtyinfo ity in + let name = + NUri.name_of_uri uri ^ "_" ^ + snd (NCicElim.ast_of_sort + (match !sort with NCic.Sort x -> x | _ -> assert false)) + in + let eliminator = + let l = [Ast.Ident (name,None); Ast.Implicit `JustOne] in + (* Generating as many implicits as open goals *) + let l = l @ HExtlib.mk_list (Ast.Implicit `JustOne) ity.consno in + let _,_,t1 = t1 in + let l = l @ [t1] in + Ast.Appl l + in + cl := ity.cl; + exact_tac ("",0,eliminator) status); + add_names_to_goals_tac cl; dot_tac] status) with | FirstTypeWrong -> fail (lazy "What you want to prove is different from the conclusion") +;; -let we_proceed_by_induction_on t1 t2 status = +let we_proceed_by_cases_on ((txt,len,ast1) as t1) t2 status = let goal = extract_first_goal_from_status status in + let npt1 = txt, len, Ast.Appl [ast1; Ast.Implicit `Vector] in + let indtyinfo = ref None in + let cl = ref [] in try - assert_tac t2 None status goal (block_tac [elim_tac ~what:t1 ~where:("",0,(None,[],Some + assert_tac t2 None status goal (block_tac [ + analyze_indty_tac ~what:npt1 indtyinfo; + cases_tac ~what:t1 ~where:("",0,(None,[],Some Ast.UserInput)); + print_goals_names_tac "Pre Adding"; + ( + fun status -> + let ity = HExtlib.unopt !indtyinfo in + cl := ity.cl; add_names_to_goals_tac cl status + ); + print_goals_names_tac "Post Adding"; dot_tac] status) with | FirstTypeWrong -> fail (lazy "What you want to prove is different from the conclusion") @@ -552,18 +469,64 @@ let we_proceed_by_induction_on t1 t2 status = let byinduction t1 id = suppose t1 id None ;; -let case id l = - distribute_tac (fun status goal -> +let name_of_conj conj = + let mattrs,_,_ = conj in + let rec search_name mattrs = + match mattrs with + [] -> "Anonymous" + | hd::tl -> + match hd with + `Name n -> n + | _ -> search_name tl + in + search_name mattrs + +let rec loc_of_goal goal l = + match l with + [] -> fail (lazy "Reached the end") + | hd :: tl -> + let _,sw = hd in + let g = goal_of_switch sw in + if g = goal then hd + else loc_of_goal goal tl +;; + +let focus_on_case_tac case status = + let goal = extract_first_goal_from_status status in + let (_,_,metasenv,_,_) = status#obj in + let rec goal_of_case case metasenv = + match metasenv with + [] -> fail (lazy "The given case does not exist") + | (goal,conj) :: tl -> + if name_of_conj conj = case then goal + else goal_of_case case tl + in + let goal_to_focus = goal_of_case case metasenv in + let gstatus = + match status#stack with + [] -> fail (lazy "There is nothing to prove") + | (g,t,k,tag) :: s -> + let loc = loc_of_goal goal_to_focus k in + let curloc = loc_of_goal goal g in + (((g @- [curloc]) @+ [loc]),t,([curloc] @+ (k @- [loc])),tag) :: s + in status#set_stack gstatus + +let case id l status = + let goal = extract_first_goal_from_status status in + let (_,_,metasenv,_,_) = status#obj in + let conj = NCicUtils.lookup_meta goal metasenv in + let name = name_of_conj conj in + let continuation = let rec aux l = - match l with + match l with [] -> [id_tac] | (id,ty)::tl -> (try_tac (assume id ("",0,ty) None)) :: (aux tl) in -(* if l == [] then exec (try_tac (intro_tac "H")) status goal *) -(* else *) - exec (block_tac (aux l)) status goal - ) + aux l + in + if name = id then block_tac continuation status + else block_tac ([focus_on_case_tac id] @ continuation) status ;; let print_stack status = prerr_endline ("PRINT STACK: " ^ (pp status#stack)); id_tac status ;; diff --git a/matita/components/ng_tactics/nTacStatus.ml b/matita/components/ng_tactics/nTacStatus.ml index f12b50d5d..1001d9808 100644 --- a/matita/components/ng_tactics/nTacStatus.ml +++ b/matita/components/ng_tactics/nTacStatus.ml @@ -469,7 +469,7 @@ let analyse_indty status ty = let _,_,_,cl = List.nth tl i in let consno = List.length cl in let left, right = HExtlib.split_nth lno args in - status, (ref, consno, left, right) + status, (ref, consno, left, right, cl) ;; let apply_subst status ctx t = diff --git a/matita/components/ng_tactics/nTacStatus.mli b/matita/components/ng_tactics/nTacStatus.mli index 44c953045..e47700484 100644 --- a/matita/components/ng_tactics/nTacStatus.mli +++ b/matita/components/ng_tactics/nTacStatus.mli @@ -75,7 +75,7 @@ val disambiguate: val analyse_indty: #pstatus as 'status -> cic_term -> - 'status * (NReference.reference * int * NCic.term list * NCic.term list) + 'status * (NReference.reference * int * NCic.term list * NCic.term list * NCic.constructor list) val ppterm: #pstatus -> cic_term -> string val ppcontext: #pstatus -> NCic.context -> string diff --git a/matita/components/ng_tactics/nTactics.ml b/matita/components/ng_tactics/nTactics.ml index ed98b6d1e..8e73f5305 100644 --- a/matita/components/ng_tactics/nTactics.ml +++ b/matita/components/ng_tactics/nTactics.ml @@ -492,6 +492,7 @@ type indtyinfo = { leftno: int; consno: int; reference: NReference.reference; + cl: NCic.constructor list; } ;; @@ -502,11 +503,12 @@ let analyze_indty_tac ~what indtyref = let goalty = get_goalty status goal in let status, what = disambiguate status (ctx_of goalty) what `XTInd in let status, ty_what = typeof status (ctx_of what) what in - let status, (r,consno,lefts,rights) = analyse_indty status ty_what in + let status, (r,consno,lefts,rights,cl) = analyse_indty status ty_what in let leftno = List.length lefts in let rightno = List.length rights in indtyref := Some { rightno = rightno; leftno = leftno; consno = consno; reference = r; + cl = cl; }; exec id_tac orig_status goal) ;; @@ -522,6 +524,33 @@ let sort_of_goal_tac sortref = distribute_tac (fun status goal -> status) ;; +let pp_ref reference = + let NReference.Ref (uri,spec) = reference in + let nstring = NUri.string_of_uri uri in + (*"Shareno: " ^ (string_of_int nuri) ^*) "Uri: " ^ nstring ^ + (match spec with + | NReference.Decl -> "Decl" + | NReference.Def n -> "Def " ^ (string_of_int n) + | NReference.Fix (n1,n2,n3) -> "Fix " ^ (string_of_int n1) ^ " " ^ (string_of_int n2) ^ " " ^ (string_of_int n3)(* fixno, recparamno, height *) + | NReference.CoFix n -> "CoFix " ^ (string_of_int n) + | NReference.Ind (b,n1,n2) -> "Ind " ^ (string_of_bool b) ^ " " ^ (string_of_int n1) ^ " " ^ (string_of_int n2)(* inductive, indtyno, leftno *) + | NReference.Con (n1,n2,n3) -> "Con " ^ (string_of_int n1) ^ " " ^ (string_of_int n2) ^ " " ^ (string_of_int n3)(* indtyno, constrno, leftno *) + ) ;; + +let pp_cl cl = + let rec pp_aux acc = + match acc with + | [] -> "" + | (_,consname,_) :: tl -> consname ^ ", " ^ pp_aux tl + in + pp_aux cl +;; + +let pp_indtyinfo ity = "leftno: " ^ (string_of_int ity.leftno) ^ ", consno: " ^ (string_of_int + ity.consno) ^ ", rightno: " ^ + (string_of_int ity.rightno) ^ ", reference: " ^ (pp_ref ity.reference) ^ ", + cl: " ^ (pp_cl ity.cl);; + let elim_tac ~what:(txt,len,what) ~where = let what = txt, len, Ast.Appl [what; Ast.Implicit `Vector] in let indtyinfo = ref None in @@ -597,7 +626,7 @@ let cases ~what status goal = let gty = get_goalty status goal in let status, what = disambiguate status (ctx_of gty) what `XTInd in let status, ty = typeof status (ctx_of what) what in - let status, (ref, consno, _, _) = analyse_indty status ty in + let status, (ref, consno, _, _,_) = analyse_indty status ty in let status, what = term_of_cic_term status what (ctx_of gty) in let t = NCic.Match (ref,NCic.Implicit `Term, what, @@ -628,7 +657,7 @@ let case1_tac name = let constructor_tac ?(num=1) ~args = distribute_tac (fun status goal -> let gty = get_goalty status goal in - let status, (r,consno,_,_) = analyse_indty status gty in + let status, (r,consno,_,_,_) = analyse_indty status gty in if num < 1 || num > consno then fail (lazy "Non existant constructor"); let ref = NReference.mk_constructor num r in let t = diff --git a/matita/components/ng_tactics/nTactics.mli b/matita/components/ng_tactics/nTactics.mli index 250b26991..6fb14f7b8 100644 --- a/matita/components/ng_tactics/nTactics.mli +++ b/matita/components/ng_tactics/nTactics.mli @@ -76,7 +76,14 @@ val atomic_tac : NTacStatus.tac_status NTacStatus.tactic -> 's NTacStatus.tactic (*(NTacStatus.tac_status -> 'c #NTacStatus.status) -> (#NTacStatus.tac_status as 'f) -> 'f*) -type indtyinfo +(* type indtyinfo *) +type indtyinfo = { + rightno: int; + leftno: int; + consno: int; + reference: NReference.reference; + cl: NCic.constructor list; + } val ref_of_indtyinfo : indtyinfo -> NReference.reference @@ -93,3 +100,4 @@ val inversion_tac: val exact_tac: NTacStatus.tactic_term -> 's NTacStatus.tactic val first_tac: 's NTacStatus.tactic list -> 's NTacStatus.tactic +val sort_of_goal_tac: NCic.term ref -> 's NTacStatus.tactic diff --git a/matita/components/ng_tactics/nnAuto.ml b/matita/components/ng_tactics/nnAuto.ml index 21f1e42e8..4873481ed 100644 --- a/matita/components/ng_tactics/nnAuto.ml +++ b/matita/components/ng_tactics/nnAuto.ml @@ -323,9 +323,6 @@ let index_local_equations eq_cache ?(flag=false) status = ;; let index_local_equations2 eq_cache status open_goal lemmas ?(flag=false) nohyps = - if flag then - NCicParamod.empty_state - else begin noprint (lazy "indexing equations"); let eq_cache,lemmas = match lemmas with @@ -361,7 +358,6 @@ let index_local_equations2 eq_cache status open_goal lemmas ?(flag=false) nohyps | NCicTypeChecker.TypeCheckerFailure _ | NCicTypeChecker.AssertFailure _ -> eq_cache) eq_cache lemmas - end ;; let fast_eq_check_tac ~params s = @@ -1911,7 +1907,7 @@ let candidates_from_ctx univ ctx status = in Ast.NCic res in Some (List.map to_Ast l) -let auto_lowtac ~params:(univ,flags) status goal = +let auto_lowtac ~params:(univ,flags as params) status goal = let gty = get_goalty status goal in let ctx = ctx_of gty in let candidates = candidates_from_ctx univ ctx status in