X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=helm%2Focaml%2Ftactics%2FequalityTactics.ml;h=b9db6f705777eb9ae7acb09bace47a5cc6b1857c;hb=7b78ae643999aa95b95b376fab54adb33dbed206;hp=718a1bac21cb8902daf6f7519a038cfea1fee2b7;hpb=31851952e1cc2db59168c5fd6f6093d9bc37ea86;p=helm.git diff --git a/helm/ocaml/tactics/equalityTactics.ml b/helm/ocaml/tactics/equalityTactics.ml index 718a1bac2..b9db6f705 100644 --- a/helm/ocaml/tactics/equalityTactics.ml +++ b/helm/ocaml/tactics/equalityTactics.ml @@ -22,139 +22,130 @@ * For details, see the HELM World-Wide-Web page, * http://cs.unibo.it/helm/. *) + -let rewrite_tac ~term:equality = - let rewrite_tac ~term:equality (proof,goal) = - let module C = Cic in - let module U = UriManager in - let curi,metasenv,pbo,pty = proof in - let metano,context,gty = CicUtil.lookup_meta goal metasenv in - let ty_eq,_ = - CicTypeChecker.type_of_aux' metasenv context equality - CicUniv.empty_ugraph in - let eq_ind_r,ty,t1,t2 = - match ty_eq with - C.Appl [C.MutInd (uri,0,[]) ; ty ; t1 ; t2] - when U.eq uri HelmLibraryObjects.Logic.eq_URI -> - let eq_ind_r = - C.Const - (HelmLibraryObjects.Logic.eq_ind_r_URI,[]) - in - eq_ind_r,ty,t1,t2 - | _ -> - raise - (ProofEngineTypes.Fail - "Rewrite: the argument is not a proof of an equality") +let rewrite ~term:equality ?where ?(direction=`Left) (proof,goal) = + let module C = Cic in + let module U = UriManager in + let module PET = ProofEngineTypes in + let module PER = ProofEngineReduction in + let module PEH = ProofEngineHelpers in + let module PT = PrimitiveTactics in + let module HLO = HelmLibraryObjects in + let if_left a b = + match direction with + | `Right -> b + | `Left -> a + in + let curi, metasenv, pbo, pty = proof in + let metano, context, gty = CicUtil.lookup_meta goal metasenv in + let eq_uri = HLO.Logic.eq_URI in + let ty_eq,_ = + CicTypeChecker.type_of_aux' metasenv context equality + CicUniv.empty_ugraph + in + let eq_ind, ty, t1, t2 = + match ty_eq with + | C.Appl [C.MutInd (uri, 0, []); ty; t1; t2] when U.eq uri eq_uri -> + let eq_ind = + C.Const (if_left HLO.Logic.eq_ind_URI HLO.Logic.eq_ind_r_URI,[]) + in + if_left (eq_ind, ty, t2, t1) (eq_ind, ty, t1, t2) + | _ -> raise (PET.Fail "Rewrite: argument is not a proof of an equality") + in + (* now we always do as if direction was `Left *) + let gty' = CicSubstitution.lift 1 gty in + let t1' = CicSubstitution.lift 1 t1 in + let eq_kind, what = + match where with + | None + | Some ([], None) -> + PER.alpha_equivalence, [t1'] + | Some (hp_paths, goal_path) -> + assert (hp_paths = []); + match goal_path with + | None -> assert false (* (==), [t1'] *) + | Some path -> + let roots = ProofEngineHelpers.select ~term:gty' ~pattern:path in + let subterms = + List.fold_left ( + fun acc (i, r) -> + let wanted = CicSubstitution.lift (List.length i) t1' in + PEH.find_subterms ~eq:PER.alpha_equivalence ~wanted r @ acc + ) [] roots + in + (==), subterms + in + let with_what = + let rec aux = function + | 0 -> [] + | n -> C.Rel 1 :: aux (n-1) in - let pred = - let gty' = CicSubstitution.lift 1 gty in - let t1' = CicSubstitution.lift 1 t1 in - let gty'' = - ProofEngineReduction.replace_lifting - ~equality:ProofEngineReduction.alpha_equivalence - ~what:[t1'] ~with_what:[C.Rel 1] ~where:gty' - in - C.Lambda - (FreshNamesGenerator.mk_fresh_name ~subst:[] metasenv context C.Anonymous ~typ:ty, - ty, gty'') - in - let fresh_meta = ProofEngineHelpers.new_meta_of_proof proof in - let irl =CicMkImplicit.identity_relocation_list_for_metavariable context in - let metasenv' = (fresh_meta,context,C.Appl [pred ; t2])::metasenv in + aux (List.length what) + in + let gty'' = + ProofEngineReduction.replace_lifting_csc 0 + ~equality:eq_kind ~what ~with_what ~where:gty' + in + let gty_red = CicSubstitution.subst t2 gty'' in + let fresh_meta = ProofEngineHelpers.new_meta_of_proof proof in + let irl =CicMkImplicit.identity_relocation_list_for_metavariable context in + let metasenv' = (fresh_meta,context,gty_red)::metasenv in + let fresh_name = + FreshNamesGenerator.mk_fresh_name + ~subst:[] metasenv context C.Anonymous ~typ:ty + in + let pred = C.Lambda (fresh_name, ty, gty'') in + let exact_proof = + C.Appl [eq_ind ; ty ; t2 ; pred ; C.Meta (fresh_meta,irl) ; t1 ;equality] + in + let (proof',goals) = + PET.apply_tactic + (PT.exact_tac ~term:exact_proof) ((curi,metasenv',pbo,pty),goal) + in + assert (List.length goals = 0) ; + (proof',[fresh_meta]) + - let (proof',goals) = - ProofEngineTypes.apply_tactic - (PrimitiveTactics.exact_tac - ~term:(C.Appl - [eq_ind_r ; ty ; t2 ; pred ; C.Meta (fresh_meta,irl) ; t1 ;equality])) ((curi,metasenv',pbo,pty),goal) - in - assert (List.length goals = 0) ; - (proof',[fresh_meta]) +let rewrite_tac ?where ~term () = + let rewrite_tac ?where ~term status = + rewrite ?where ~term ~direction:`Right status in - ProofEngineTypes.mk_tactic (rewrite_tac ~term:equality) -;; - + ProofEngineTypes.mk_tactic (rewrite_tac ?where ~term) -let rewrite_simpl_tac ~term = - let rewrite_simpl_tac ~term status = +let rewrite_simpl_tac ?where ~term () = + let rewrite_simpl_tac ?where ~term status = ProofEngineTypes.apply_tactic (Tacticals.then_ - ~start:(rewrite_tac ~term) + ~start:(rewrite_tac ?where ~term ()) ~continuation: - (ReductionTactics.simpl_tac ~also_in_hypotheses:false ~terms:None)) + (ReductionTactics.simpl_tac ~pattern:ProofEngineTypes.goal_pattern)) status in ProofEngineTypes.mk_tactic (rewrite_simpl_tac ~term) ;; +let rewrite_back_tac ?where ~term () = + let rewrite_back_tac ?where ~term status = + rewrite ?where ~term ~direction:`Left status + in + ProofEngineTypes.mk_tactic (rewrite_back_tac ?where ~term) -let rewrite_back_tac ~term:equality = - let rewrite_back_tac equality (proof,goal) = - let module C = Cic in - let module U = UriManager in - let curi,metasenv,pbo,pty = proof in - let metano,context,gty = CicUtil.lookup_meta goal metasenv in - let ty_eq,_ = - CicTypeChecker.type_of_aux' metasenv context equality - CicUniv.empty_ugraph in - let eq_ind_r,ty,t1,t2 = - match ty_eq with - C.Appl [C.MutInd (uri,0,[]) ; ty ; t1 ; t2] - when U.eq uri HelmLibraryObjects.Logic.eq_URI -> - let eq_ind_r = - C.Const (HelmLibraryObjects.Logic.eq_ind_URI,[]) - in - eq_ind_r,ty,t2,t1 - | _ -> - raise - (ProofEngineTypes.Fail - "Rewrite: the argument is not a proof of an equality") - in - let pred = - let gty' = CicSubstitution.lift 1 gty in - let t1' = CicSubstitution.lift 1 t1 in - let gty'' = - ProofEngineReduction.replace_lifting - ~equality:ProofEngineReduction.alpha_equivalence - ~what:[t1'] ~with_what:[C.Rel 1] ~where:gty' - in - C.Lambda - (FreshNamesGenerator.mk_fresh_name ~subst:[] metasenv context C.Anonymous ~typ:ty, - ty, gty'') - in - let fresh_meta = ProofEngineHelpers.new_meta_of_proof proof in - let irl = - CicMkImplicit.identity_relocation_list_for_metavariable context in - let metasenv' = (fresh_meta,context,C.Appl [pred ; t2])::metasenv in - - let (proof',goals) = - ProofEngineTypes.apply_tactic - (PrimitiveTactics.exact_tac - ~term:(C.Appl - [eq_ind_r ; ty ; t2 ; pred ; C.Meta (fresh_meta,irl) ; t1 ;equality])) - ((curi,metasenv',pbo,pty),goal) - in - assert (List.length goals = 0) ; - (proof',[fresh_meta]) - in - ProofEngineTypes.mk_tactic (rewrite_back_tac equality) -;; - - -let rewrite_back_simpl_tac ~term = - let rewrite_back_simpl_tac ~term status = +let rewrite_back_simpl_tac ?where ~term () = + let rewrite_back_simpl_tac ?where ~term status = ProofEngineTypes.apply_tactic (Tacticals.then_ - ~start:(rewrite_back_tac ~term) + ~start:(rewrite_back_tac ?where ~term ()) ~continuation: - (ReductionTactics.simpl_tac ~also_in_hypotheses:false ~terms:None)) + (ReductionTactics.simpl_tac ~pattern:ProofEngineTypes.goal_pattern)) status in ProofEngineTypes.mk_tactic (rewrite_back_simpl_tac ~term) ;; -let replace_tac ~what ~with_what = - let replace_tac ~what ~with_what status = +let replace_tac ~pattern ~with_what = +(* + let replace_tac ~pattern ~with_what status = let (proof, goal) = status in let module C = Cic in let module U = UriManager in @@ -178,7 +169,7 @@ let replace_tac ~what ~with_what = with_what])) ~continuations:[ - T.then_ ~start:(rewrite_simpl_tac ~term:(C.Rel 1)) + T.then_ ~start:(rewrite_simpl_tac ~term:(C.Rel 1) ()) ~continuation:( ProofEngineStructuralRules.clear ~hyp:(List.hd context)) ; @@ -189,6 +180,7 @@ let replace_tac ~what ~with_what = raise (ProofEngineTypes.Fail "Replace: empty context") in ProofEngineTypes.mk_tactic (replace_tac ~what ~with_what) +*) assert false ;;