X-Git-Url: http://matita.cs.unibo.it/gitweb/?p=helm.git;a=blobdiff_plain;f=components%2Ftactics%2Fdeclarative.ml;fp=components%2Ftactics%2Fdeclarative.ml;h=db1345344d741d48c4a432b05a95bd198d9cb283;hp=0000000000000000000000000000000000000000;hb=f61af501fb4608cc4fb062a0864c774e677f0d76;hpb=58ae1809c352e71e7b5530dc41e2bfc834e1aef1 diff --git a/components/tactics/declarative.ml b/components/tactics/declarative.ml new file mode 100644 index 000000000..db1345344 --- /dev/null +++ b/components/tactics/declarative.ml @@ -0,0 +1,305 @@ +(* Copyright (C) 2006, HELM Team. + * + * This file is part of HELM, an Hypertextual, Electronic + * Library of Mathematics, developed at the Computer Science + * Department, University of Bologna, Italy. + * + * HELM is free software; you can redistribute it and/or + * modify it under the terms of the GNU General Public License + * as published by the Free Software Foundation; either version 2 + * of the License, or (at your option) any later version. + * + * HELM is distributed in the hope that it will be useful, + * but WITHOUT ANY WARRANTY; without even the implied warranty of + * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the + * GNU General Public License for more details. + * + * You should have received a copy of the GNU General Public License + * along with HELM; if not, write to the Free Software + * Foundation, Inc., 59 Temple Place - Suite 330, Boston, + * MA 02111-1307, USA. + * + * For details, see the HELM World-Wide-Web page, + * http://cs.unibo.it/helm/. + *) + +let assume id t = + Tacticals.then_ + ~start: + (Tactics.intros ~howmany:1 + ~mk_fresh_name_callback:(fun _ _ _ ~typ -> Cic.Name id) ()) + ~continuation: + (Tactics.change ~pattern:(None,[id,Cic.Implicit (Some `Hole)],None) + (fun _ metasenv ugraph -> t,metasenv,ugraph)) +;; + +let suppose t id ty = +(*BUG: check on t missing *) + let ty = match ty with None -> t | Some ty -> ty in + Tacticals.then_ + ~start: + (Tactics.intros ~howmany:1 + ~mk_fresh_name_callback:(fun _ _ _ ~typ -> Cic.Name id) ()) + ~continuation: + (Tactics.change ~pattern:(None,[id,Cic.Implicit (Some `Hole)],None) + (fun _ metasenv ugraph -> ty,metasenv,ugraph)) +;; + +let by_term_we_proved ~dbd ~universe t ty id ty' = + let just = + match t with + | None -> Tactics.auto ~dbd ~params:([],[]) ~universe + | Some t -> Tactics.apply t + in + match id with + None -> + (match ty' with + None -> assert false + | Some ty' -> + Tacticals.then_ + ~start:(Tactics.change + ~pattern:(ProofEngineTypes.conclusion_pattern None) + (fun _ metasenv ugraph -> ty,metasenv,ugraph)) + ~continuation:just + ) + | Some id -> + let ty',continuation = + match ty' with + None -> ty,just + | Some ty' -> + ty', + Tacticals.then_ + ~start: + (Tactics.change + ~with_cast:true + ~pattern:(None,[id,Cic.Implicit (Some `Hole)],None) + (fun _ metasenv ugraph -> ty,metasenv,ugraph)) + ~continuation:just + in + Tacticals.thens + ~start: + (Tactics.cut ty' + ~mk_fresh_name_callback:(fun _ _ _ ~typ -> Cic.Name id)) + ~continuations:[ Tacticals.id_tac ; continuation ] +;; + +let bydone ~dbd ~universe t = + let just = + match t with + | None -> Tactics.auto ~dbd ~params:([],[]) ~universe + | Some t -> Tactics.apply t + in + just +;; + +let we_need_to_prove t id ty = + match id with + None -> + (match ty with + None -> Tacticals.id_tac (*BUG: check missing here *) + | Some ty -> + Tactics.change ~pattern:(ProofEngineTypes.conclusion_pattern None) + (fun _ metasenv ugraph -> ty,metasenv,ugraph)) + | Some id -> + let aux status = + let cont,cutted = + match ty with + None -> Tacticals.id_tac,t + | Some ty -> + Tactics.change ~pattern:(None,[id,Cic.Implicit (Some `Hole)],None) + (fun _ metasenv ugraph -> t,metasenv,ugraph), ty in + let proof,goals = + ProofEngineTypes.apply_tactic + (Tacticals.thens + ~start: + (Tactics.cut cutted + ~mk_fresh_name_callback:(fun _ _ _ ~typ -> Cic.Name id)) + ~continuations:[cont]) + status + in + let goals' = + match goals with + [fst; snd] -> [snd; fst] + | _ -> assert false + in + proof,goals' + in + ProofEngineTypes.mk_tactic aux +;; + +let existselim ~dbd ~universe t id1 t1 id2 t2 = + let aux (proof, goal) = + let (n,metasenv,_subst,bo,ty,attrs) = proof in + let metano,context,_ = CicUtil.lookup_meta goal metasenv in + let t2, metasenv, _ = t2 (Some (Cic.Name id1, Cic.Decl t1) :: context) metasenv CicUniv.oblivion_ugraph in + let proof' = (n,metasenv,_subst,bo,ty,attrs) in + ProofEngineTypes.apply_tactic ( + Tacticals.thens + ~start:(Tactics.cut (Cic.Appl [Cic.MutInd (UriManager.uri_of_string "cic:/matita/logic/connectives/ex.ind", 0, []); t1 ; Cic.Lambda (Cic.Name id1, t1, t2)])) + ~continuations: + [ Tactics.elim_intros (Cic.Rel 1) + ~mk_fresh_name_callback: + (let i = ref 0 in + fun _ _ _ ~typ -> + incr i; + if !i = 1 then Cic.Name id1 else Cic.Name id2) ; + (match t with + | None -> Tactics.auto ~dbd ~params:([],[]) ~universe + | Some t -> Tactics.apply t) + ]) (proof', goal) + in + ProofEngineTypes.mk_tactic aux +;; + +let andelim t id1 t1 id2 t2 = + Tactics.elim_intros t + ~mk_fresh_name_callback: + (let i = ref 0 in + fun _ _ _ ~typ -> + incr i; + if !i = 1 then Cic.Name id1 else Cic.Name id2) + +let rewritingstep ~dbd ~universe lhs rhs just last_step = + let aux ((proof,goal) as status) = + let (curi,metasenv,_subst,proofbo,proofty, attrs) = proof in + let _,context,gty = CicUtil.lookup_meta goal metasenv in + let eq,trans = + match LibraryObjects.eq_URI () with + None -> raise (ProofEngineTypes.Fail (lazy "You need to register the default equality first. Please use the \"default\" command")) + | Some uri -> + Cic.MutInd (uri,0,[]), Cic.Const (LibraryObjects.trans_eq_URI ~eq:uri,[]) + in + let ty,_ = + CicTypeChecker.type_of_aux' metasenv context rhs CicUniv.empty_ugraph in + let just' = + match just with + `Auto (univ, params) -> + let params = + if not (List.exists (fun (k,_) -> k = "timeout") params) then + ("timeout","3")::params + else params + in + let params' = + if not (List.exists (fun (k,_) -> k = "paramodulation") params) then + ("paramodulation","1")::params + else params + in + if params = params' then + Tactics.auto ~dbd ~params:(univ, params) ~universe + else + Tacticals.first + [Tactics.auto ~dbd ~params:(univ, params) ~universe ; + Tactics.auto ~dbd ~params:(univ, params') ~universe] + | `Term just -> Tactics.apply just + | `SolveWith term -> + Tactics.solve_rewrite ~universe ~params:([term],["steps","1"]) () + | `Proof -> + Tacticals.id_tac + in + let plhs,prhs,prepare = + match lhs with + None -> + let plhs,prhs = + match gty with + Cic.Appl [_;_;plhs;prhs] -> plhs,prhs + | _ -> assert false + in + plhs,prhs, + (fun continuation -> + ProofEngineTypes.apply_tactic continuation status) + | Some (None,lhs) -> + let plhs,prhs = + match gty with + Cic.Appl [_;_;plhs;prhs] -> plhs,prhs + | _ -> assert false + in + (*CSC: manca check plhs convertibile con lhs *) + plhs,prhs, + (fun continuation -> + ProofEngineTypes.apply_tactic continuation status) + | Some (Some name,lhs) -> + let newmeta = CicMkImplicit.new_meta metasenv [] in + let irl = + CicMkImplicit.identity_relocation_list_for_metavariable context in + let plhs = lhs in + let prhs = Cic.Meta(newmeta,irl) in + plhs,prhs, + (fun continuation -> + let metasenv = (newmeta, context, ty)::metasenv in + let mk_fresh_name_callback = + fun metasenv context _ ~typ -> + FreshNamesGenerator.mk_fresh_name ~subst:[] metasenv context + (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) + in + let continuation = + if last_step then + (*CSC:manca controllo sul fatto che rhs sia convertibile con prhs*) + just' + else + Tacticals.thens + ~start:(Tactics.apply ~term:(Cic.Appl [trans;ty;plhs;rhs;prhs])) + ~continuations:[just' ; Tacticals.id_tac] + in + prepare continuation + in + ProofEngineTypes.mk_tactic aux +;; + +let we_proceed_by_cases_on t pat = + (*BUG here: pat unused *) + Tactics.cases_intros t +;; + +let we_proceed_by_induction_on t pat = + let pattern = None, [], Some pat in + Tactics.elim_intros ~depth:0 (*~pattern*) t +;; + +let case id ~params = + (*BUG here: id unused*) + (*BUG here: it does not verify that the previous branch is closed *) + (*BUG here: the params should be parsed telescopically*) + (*BUG here: the tactic_terms should be terms*) + let rec aux ~params ((proof,goal) as status) = + match params with + [] -> proof,[goal] + | (id,t)::tl -> + match ProofEngineTypes.apply_tactic (assume id t) status with + proof,[goal] -> aux tl (proof,goal) + | _ -> assert false + in + ProofEngineTypes.mk_tactic (aux ~params) +;; + +let thesisbecomes t = +let ty = None in + match ty with + None -> + Tactics.change ~pattern:(None,[],Some (Cic.Implicit (Some `Hole))) + (fun _ metasenv ugraph -> t,metasenv,ugraph) + | Some ty -> + (*BUG here: missing check on t *) + Tactics.change ~pattern:(None,[],Some (Cic.Implicit (Some `Hole))) + (fun _ metasenv ugraph -> ty,metasenv,ugraph) +;; + +let byinduction t id = suppose t id None;;