X-Git-Url: http://matita.cs.unibo.it/gitweb/?p=helm.git;a=blobdiff_plain;f=matita%2Fcomponents%2Fng_tactics%2Fdeclarative.ml;h=0802edd1dd90f441b6971a886bf587d563d92816;hp=3a700ba961d28583bb89bb1c4e0d2c6a8e9b7984;hb=489639a3c319d0349a9c864fd0eeaf659daa3d3f;hpb=3fab56d1663ba3d5aeb9207612279e0bb0edbb8c diff --git a/matita/components/ng_tactics/declarative.ml b/matita/components/ng_tactics/declarative.ml index 3a700ba96..0802edd1d 100644 --- a/matita/components/ng_tactics/declarative.ml +++ b/matita/components/ng_tactics/declarative.ml @@ -62,7 +62,7 @@ let extract_conclusion_type status goal = gty ;; -let same_type_as_conclusion ty t status goal = +let alpha_eq_tacterm_kerterm ty t status goal = let gty = get_goalty status goal in let ctx = ctx_of gty in let status,cicterm = disambiguate status ctx ty `XTNone (*(`XTSome (mk_cic_term ctx t))*) in @@ -88,7 +88,7 @@ let are_convertible ty1 ty2 status goal = let lambda_abstract_tac id t1 t2 status goal = match extract_conclusion_type status goal with | NCic.Prod (_,t,_) -> - if same_type_as_conclusion t1 t status goal then + if alpha_eq_tacterm_kerterm t1 t status goal then match t2 with | None -> let (_,_,t1) = t1 in @@ -130,7 +130,7 @@ let suppose t1 id t2 (*status*) = let assert_tac t1 t2 status goal continuation = let t = extract_conclusion_type status goal in - if same_type_as_conclusion t1 t status goal then + if alpha_eq_tacterm_kerterm t1 t status goal then match t2 with | None -> continuation | Some t2 -> @@ -278,45 +278,41 @@ let we_need_to_prove t id t1 status = ) ;; -let by_just_we_proved just ty id ty' (*status*) = - distribute_tac (fun status goal -> - let wrappedjust = just in - let just = mk_just status goal just in - match id with - | None -> - (match ty' with - | None -> (* just we proved P done *) - ( - try - assert_tac ty None status goal (exec (bydone wrappedjust) status goal) - with - | FirstTypeWrong -> fail (lazy "The given proposition is not the same as the conclusion") - | NotEquivalentTypes -> fail (lazy "The given propositions are not equivalent") - ) - | Some ty' -> (* just we proved P that is equivalent to P' done *) - ( - try - assert_tac ty' (Some ty) status goal (exec (block_tac [change_tac - ~where:("",0,(None,[],Some Ast.UserInput)) ~with_what:ty; bydone - wrappedjust]) status goal) - with - | FirstTypeWrong -> fail (lazy "The second proposition is not the same as the conclusion") - | NotEquivalentTypes -> fail (lazy "The given propositions are not equivalent") - ) - ) - | Some id -> - ( - match ty' with - | None -> exec (block_tac [cut_tac ty; branch_tac; just; shift_tac; intro_tac - id; merge_tac ]) status goal - | Some ty' -> exec (block_tac [cut_tac ty; branch_tac; just; shift_tac; intro_tac - id; change_tac ~where:("",0,(None,[id,Ast.UserInput],None)) - ~with_what:ty'; merge_tac]) status goal - ) - ) -;; - -let thesisbecomes t1 t2 status = we_need_to_prove t1 None t2 status +let by_just_we_proved just ty id ty' status = + let goal = extract_first_goal_from_status status in + let wrappedjust = just in + let just = mk_just status goal just in + match id with + | None -> + (match ty' with + | None -> (* just we proved P done *) + ( + try + assert_tac ty None status goal (bydone wrappedjust status) + with + | FirstTypeWrong -> fail (lazy "The given proposition is not the same as the conclusion") + | NotEquivalentTypes -> fail (lazy "The given propositions are not equivalent") + ) + | Some ty' -> (* just we proved P that is equivalent to P' done *) + ( + try + assert_tac ty' None status goal (block_tac [change_tac ~where:("",0,(None,[],Some + Ast.UserInput)) + ~with_what:ty; bydone wrappedjust] + status ) + with + | FirstTypeWrong -> fail (lazy "The second proposition is not the same as the conclusion") + | NotEquivalentTypes -> fail (lazy "The given propositions are not equivalent") + ) + ) + | Some id -> + ( + match ty' with + | None -> block_tac [cut_tac ty; branch_tac; just; shift_tac; intro_tac id; merge_tac ] status + | Some ty' -> block_tac [cut_tac ty; branch_tac; just; shift_tac; intro_tac id; change_tac + ~where:("",0,(None,[id,Ast.UserInput],None)) ~with_what:ty'; + merge_tac] status + ) ;; let existselim just id1 t1 t2 id2 (*status*) = @@ -360,7 +356,100 @@ let type_of_tactic_term status ctx t = let (_,cicty) = typeof status ctx cicterm in cicty -let rewritingstep lhs rhs just last_step status = +let swap_first_two_goals_tac status = + let gstatus = + match status#stack with + | [] -> assert false + | (g,t,k,tag) :: s -> + match g with + | (loc1) :: (loc2) :: tl -> + ([loc2;loc1] @+ tl,t,k,tag) :: s + | _ -> assert false + in + status#set_stack gstatus + +let thesisbecomes t1 t2 = we_need_to_prove t1 None t2 +;; + +let obtain id t1 status = + let goal = extract_first_goal_from_status status in + let cicgty = get_goalty status goal in + let ctx = ctx_of cicgty in + let cicty = type_of_tactic_term status ctx t1 in + 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])); + swap_first_two_goals_tac; + branch_tac; shift_tac; shift_tac; intro_tac id; merge_tac; dot_tac; + ] + status +;; + +let conclude t1 = + distribute_tac (fun status goal -> + let cicgty = get_goalty status goal in + let ctx = ctx_of cicgty in + let _,gty = term_of_cic_term status cicgty ctx in + match gty with + NCic.Appl [_;_;plhs;_] -> + if alpha_eq_tacterm_kerterm t1 plhs status goal then + exec id_tac status goal + else + fail (lazy "The given conclusion is different from the left-hand side of the current conclusion") + | _ -> fail (lazy "Your conclusion needs to be an equality") + ) +;; + +let rewritingstep rhs just last_step status = + 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 + in + let plhs,prhs,prepare = + match gty with (* Extracting the lhs and rhs of the previous equality *) + NCic.Appl [_;_;plhs;prhs] -> plhs,prhs,(fun continuation -> continuation status) + | _ -> fail (lazy "You are not building an equaility chain") + 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 goal = extract_first_goal_from_status status in let cicgty = get_goalty status goal in let ctx = ctx_of cicgty in @@ -409,37 +498,22 @@ let rewritingstep lhs rhs just last_step status = plhs,prhs, (fun continuation -> continuation status) | Some (Some name,lhs) -> (* obtain *) - fail (lazy "Not implemented") - (* - let plhs = lhs in - let prhs = Cic.Meta(newmeta,irl) in - plhs,prhs, + 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 metasenv = (newmeta, ctx, ty)::metasenv in - let mk_fresh_name_callback = - fun metasenv ctx _ ~typ -> - FreshNamesGenerator.mk_fresh_name ~subst:[] metasenv ctx - (Cic.Name name) ~typ - in - let proof = curi,metasenv,_subst,proofbo,proofty, attrs in - let proof,goals = - ProofEngineTypes.apply_tactic - (Tacticals.thens - ~start:(Tactics.cut ~mk_fresh_name_callback - (Cic.Appl [eq ; ty ; lhs ; prhs])) - ~continuations:[Tacticals.id_tac ; continuation]) (proof,goal) - in - let goals = - match just,goals with - `Proof, [g1;g2;g3] -> [g2;g3;newmeta;g1] - | _, [g1;g2] -> [g2;newmeta;g1] - | _, l -> - prerr_endline (String.concat "," (List.map string_of_int l)); - prerr_endline (CicMetaSubst.ppmetasenv [] metasenv); - assert false - in - proof,goals) - *) + 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 + ) in let continuation = if last_step then @@ -455,6 +529,42 @@ let rewritingstep lhs rhs just last_step status = in prepare continuation ;; + *) + +let we_proceed_by_cases_on t1 t2 status = + let goal = extract_first_goal_from_status status in + try + assert_tac t2 None status goal (block_tac [cases_tac ~what:t1 ~where:("",0,(None,[],Some + Ast.UserInput)); + 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 goal = extract_first_goal_from_status status in + try + assert_tac t2 None status goal (block_tac [elim_tac ~what:t1 ~where:("",0,(None,[],Some + Ast.UserInput)); + dot_tac] status) + with + | FirstTypeWrong -> fail (lazy "What you want to prove is different from the conclusion") +;; + +let byinduction t1 id = suppose t1 id None ;; + +let case id l = + distribute_tac (fun status goal -> + let rec aux l = + 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 + ) +;; let print_stack status = prerr_endline ("PRINT STACK: " ^ (pp status#stack)); id_tac status ;;