X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=helm%2Fsoftware%2Fcomponents%2Ftactics%2FequalityTactics.ml;h=1a0fe31d05e77e6ccf3d42138ec1484fc811646c;hb=2bcf927f58bac034b8758173cdbd16cb7475de36;hp=fd6e7c59f35d8e2b1b4798eac51bf7d445427cf9;hpb=72858765956176eebbd67669db6e2cee8cdb0de0;p=helm.git diff --git a/helm/software/components/tactics/equalityTactics.ml b/helm/software/components/tactics/equalityTactics.ml index fd6e7c59f..1a0fe31d0 100644 --- a/helm/software/components/tactics/equalityTactics.ml +++ b/helm/software/components/tactics/equalityTactics.ml @@ -34,76 +34,72 @@ module PESR = ProofEngineStructuralRules module P = PrimitiveTactics module T = Tacticals module R = CicReduction +module S = CicSubstitution module TC = CicTypeChecker module LO = LibraryObjects module DTI = DoubleTypeInference +module HEL = HExtlib -let rec rewrite_tac ~direction ~(pattern: ProofEngineTypes.lazy_pattern) equality = - let _rewrite_tac ~direction ~pattern:(wanted,hyps_pat,concl_pat) equality status - = +let rec rewrite ~direction ~pattern:(wanted,hyps_pat,concl_pat) equality status= assert (wanted = None); (* this should be checked syntactically *) let proof,goal = status in - let curi, metasenv, pbo, pty = proof in + let curi, metasenv, subst, pbo, pty, attrs = proof in let (metano,context,gty) = CicUtil.lookup_meta goal metasenv in match hyps_pat with he::(_::_ as tl) -> - PET.apply_tactic - (Tacticals.then_ - (rewrite_tac ~direction - ~pattern:(None,[he],None) equality) - (rewrite_tac ~direction ~pattern:(None,tl,concl_pat) - (CicSubstitution.lift 1 equality)) + PET.apply_tactic + (T.then_ + (PET.mk_tactic (rewrite ~direction + ~pattern:(None,[he],None) equality)) + (PET.mk_tactic (rewrite ~direction + ~pattern:(None,tl,concl_pat) (S.lift 1 equality))) ) status | [_] as hyps_pat when concl_pat <> None -> - PET.apply_tactic - (Tacticals.then_ - (rewrite_tac ~direction - ~pattern:(None,hyps_pat,None) equality) - (rewrite_tac ~direction ~pattern:(None,[],concl_pat) - (CicSubstitution.lift 1 equality)) + PET.apply_tactic + (T.then_ + (PET.mk_tactic (rewrite ~direction + ~pattern:(None,hyps_pat,None) equality)) + (PET.mk_tactic (rewrite ~direction + ~pattern:(None,[],concl_pat) (S.lift 1 equality))) ) status | _ -> let arg,dir2,tac,concl_pat,gty = match hyps_pat with [] -> None,true,(fun ~term _ -> P.exact_tac term),concl_pat,gty | [name,pat] -> - let rec find_hyp n = - function - [] -> assert false - | Some (Cic.Name s,Cic.Decl ty)::_ when name = s -> - Cic.Rel n, CicSubstitution.lift n ty - | Some (Cic.Name s,Cic.Def _)::_ -> assert false (*CSC: not implemented yet! But does this make any sense?*) - | _::tl -> find_hyp (n+1) tl - in - let arg,gty = find_hyp 1 context in + let arg,gty = ProofEngineHelpers.find_hyp name context in let dummy = "dummy" in Some arg,false, (fun ~term typ -> - Tacticals.seq + T.seq ~tactics: - [ProofEngineStructuralRules.rename name dummy; + [PESR.rename [name] [dummy]; P.letin_tac ~mk_fresh_name_callback:(fun _ _ _ ~typ -> Cic.Name name) term; - ProofEngineStructuralRules.clearbody name; + PESR.clearbody name; ReductionTactics.change_tac ~pattern: (None,[name,Cic.Implicit (Some `Hole)], None) (ProofEngineTypes.const_lazy_term typ); - ProofEngineStructuralRules.clear [dummy] + PESR.clear [dummy] ]), Some pat,gty | _::_ -> assert false in + let gsort,_ = + CicTypeChecker.type_of_aux' + metasenv ~subst context gty CicUniv.oblivion_ugraph + in let if_right_to_left do_not_change a b = match direction with | `RightToLeft -> if do_not_change then a else b | `LeftToRight -> if do_not_change then b else a in let ty_eq,ugraph = - CicTypeChecker.type_of_aux' metasenv context equality - CicUniv.empty_ugraph in + CicTypeChecker.type_of_aux' metasenv ~subst context equality + CicUniv.oblivion_ugraph in let (ty_eq,metasenv',arguments,fresh_meta) = - ProofEngineHelpers.saturate_term + TermUtil.saturate_term (ProofEngineHelpers.new_meta_of_proof proof) metasenv context ty_eq 0 in let equality = if List.length arguments = 0 then @@ -116,8 +112,16 @@ let rec rewrite_tac ~direction ~(pattern: ProofEngineTypes.lazy_pattern) equalit | C.Appl [C.MutInd (uri, 0, []); ty; t1; t2] when LibraryObjects.is_eq_URI uri -> let ind_uri = - if_right_to_left dir2 - LibraryObjects.eq_ind_URI LibraryObjects.eq_ind_r_URI + match gsort with + C.Sort C.Prop -> + if_right_to_left dir2 + LibraryObjects.eq_ind_URI LibraryObjects.eq_ind_r_URI + | C.Sort C.Set -> + if_right_to_left dir2 + LibraryObjects.eq_rec_URI LibraryObjects.eq_rec_r_URI + | _ -> + if_right_to_left dir2 + LibraryObjects.eq_rect_URI LibraryObjects.eq_rect_r_URI in let eq_ind = C.Const (ind_uri uri,[]) in if dir2 then @@ -128,21 +132,23 @@ let rec rewrite_tac ~direction ~(pattern: ProofEngineTypes.lazy_pattern) equalit (* now we always do as if direction was `LeftToRight *) let fresh_name = FreshNamesGenerator.mk_fresh_name - ~subst:[] metasenv' context C.Anonymous ~typ:ty in - let lifted_t1 = CicSubstitution.lift 1 t1x in - let lifted_gty = CicSubstitution.lift 1 gty in + ~subst metasenv' context C.Anonymous ~typ:ty in + let lifted_t1 = S.lift 1 t1x in + let lifted_gty = S.lift 1 gty in let lifted_conjecture = metano,(Some (fresh_name,Cic.Decl ty))::context,lifted_gty in let lifted_pattern = let lifted_concl_pat = match concl_pat with | None -> None - | Some term -> Some (CicSubstitution.lift 1 term) in - Some (fun _ m u -> lifted_t1, m, u),[],lifted_concl_pat + | Some term -> Some (S.lift 1 term) in + Some (fun c m u -> + let distance = pred (List.length c - List.length context) in + S.lift distance lifted_t1, m, u),[],lifted_concl_pat in let subst,metasenv',ugraph,_,selected_terms_with_context = ProofEngineHelpers.select - ~metasenv:metasenv' ~ugraph ~conjecture:lifted_conjecture + ~metasenv:metasenv' ~subst ~ugraph ~conjecture:lifted_conjecture ~pattern:lifted_pattern in let metasenv' = CicMetaSubst.apply_subst_metasenv subst metasenv' in let what,with_what = @@ -155,12 +161,14 @@ let rec rewrite_tac ~direction ~(pattern: ProofEngineTypes.lazy_pattern) equalit let t1 = CicMetaSubst.apply_subst subst t1 in let t2 = CicMetaSubst.apply_subst subst t2 in let ty = CicMetaSubst.apply_subst subst ty in - let pbo = CicMetaSubst.apply_subst subst pbo in + let pbo = lazy (CicMetaSubst.apply_subst subst (Lazy.force pbo)) in let pty = CicMetaSubst.apply_subst subst pty in let equality = CicMetaSubst.apply_subst subst equality in let abstr_gty = ProofEngineReduction.replace_lifting_csc 0 ~equality:(==) ~what ~with_what:with_what ~where:lifted_gty in + if lifted_gty = abstr_gty then + raise (ProofEngineTypes.Fail (lazy "nothing to do")); let abstr_gty = CicMetaSubst.apply_subst subst abstr_gty in let pred = C.Lambda (fresh_name, ty, abstr_gty) in (* The argument is either a meta if we are rewriting in the conclusion @@ -168,13 +176,14 @@ let rec rewrite_tac ~direction ~(pattern: ProofEngineTypes.lazy_pattern) equalit let metasenv',arg,newtyp = match arg with None -> - let gty' = CicSubstitution.subst t2 abstr_gty in + let fresh_meta = CicMkImplicit.new_meta metasenv' subst in + let gty' = S.subst t2 abstr_gty in let irl = CicMkImplicit.identity_relocation_list_for_metavariable context in let metasenv' = (fresh_meta,context,gty')::metasenv' in metasenv', C.Meta (fresh_meta,irl), Cic.Rel (-1) (* dummy term, never used *) | Some arg -> - let gty' = CicSubstitution.subst t1 abstr_gty in + let gty' = S.subst t1 abstr_gty in metasenv',arg,gty' in let exact_proof = @@ -182,8 +191,8 @@ let rec rewrite_tac ~direction ~(pattern: ProofEngineTypes.lazy_pattern) equalit in try let (proof',goals) = - PET.apply_tactic - (tac ~term:exact_proof newtyp) ((curi,metasenv',pbo,pty),goal) + PET.apply_tactic (tac ~term:exact_proof newtyp) + ((curi,metasenv',subst,pbo,pty, attrs),goal) in let goals = goals@(ProofEngineHelpers.compare_metasenvs ~oldmetasenv:metasenv @@ -191,29 +200,31 @@ let rec rewrite_tac ~direction ~(pattern: ProofEngineTypes.lazy_pattern) equalit in (proof',goals) with (* FG: this should be PET.Fail _ *) - TC.TypeCheckerFailure _ -> PET.apply_tactic P.letout_tac status - in - ProofEngineTypes.mk_tactic (_rewrite_tac ~direction ~pattern equality) - - -let rewrite_simpl_tac ~direction ~pattern equality = - let rewrite_simpl_tac ~direction ~pattern equality status = - ProofEngineTypes.apply_tactic - (Tacticals.then_ - ~start:(rewrite_tac ~direction ~pattern equality) + TC.TypeCheckerFailure m -> + let msg = lazy ("rewrite: "^ Lazy.force m) in + raise (PET.Fail msg) +;; + +let rewrite_tac ~direction ~pattern equality names = + let _, hyps_pat, _ = pattern in + let froms = List.map fst hyps_pat in + let start = PET.mk_tactic (rewrite ~direction ~pattern equality) in + let continuation = PESR.rename ~froms ~tos:names in + if names = [] then start else T.then_ ~start ~continuation +;; + +let rewrite_simpl_tac ~direction ~pattern equality names = + T.then_ + ~start:(rewrite_tac ~direction ~pattern equality names) ~continuation: (ReductionTactics.simpl_tac - ~pattern:(ProofEngineTypes.conclusion_pattern None))) - status - in - ProofEngineTypes.mk_tactic (rewrite_simpl_tac ~direction ~pattern equality) -;; + ~pattern:(ProofEngineTypes.conclusion_pattern None)) let replace_tac ~(pattern: ProofEngineTypes.lazy_pattern) ~with_what = let replace_tac ~(pattern: ProofEngineTypes.lazy_pattern) ~with_what status = let _wanted, hyps_pat, concl_pat = pattern in let (proof, goal) = status in - let uri,metasenv,pbo,pty = proof in + let uri,metasenv,subst,pbo,pty, attrs = proof in let (_,context,ty) as conjecture = CicUtil.lookup_meta goal metasenv in assert (hyps_pat = []); (*CSC: not implemented yet *) let eq_URI = @@ -223,17 +234,17 @@ let replace_tac ~(pattern: ProofEngineTypes.lazy_pattern) ~with_what = in let context_len = List.length context in let subst,metasenv,u,_,selected_terms_with_context = - ProofEngineHelpers.select ~metasenv ~ugraph:CicUniv.empty_ugraph + ProofEngineHelpers.select ~subst ~metasenv ~ugraph:CicUniv.oblivion_ugraph ~conjecture ~pattern in let metasenv = CicMetaSubst.apply_subst_metasenv subst metasenv in let with_what, metasenv, u = with_what context metasenv u in let with_what = CicMetaSubst.apply_subst subst with_what in - let pbo = CicMetaSubst.apply_subst subst pbo in + let pbo = lazy (CicMetaSubst.apply_subst subst (Lazy.force pbo)) in let pty = CicMetaSubst.apply_subst subst pty in - let status = (uri,metasenv,pbo,pty),goal in + let status = (uri,metasenv,subst,pbo,pty, attrs),goal in let ty_of_with_what,u = CicTypeChecker.type_of_aux' - metasenv context with_what CicUniv.empty_ugraph in + metasenv ~subst context with_what CicUniv.oblivion_ugraph in let whats = match selected_terms_with_context with [] -> raise (ProofEngineTypes.Fail (lazy "Replace: no term selected")) @@ -259,9 +270,9 @@ let replace_tac ~(pattern: ProofEngineTypes.lazy_pattern) ~with_what = raise (ProofEngineTypes.Fail (lazy "Replace: one of the selected terms is not closed")) in let ty_of_t_in_context,u = (* TASSI: FIXME *) - CicTypeChecker.type_of_aux' metasenv context t_in_context - CicUniv.empty_ugraph in - let b,u = CicReduction.are_convertible ~metasenv context + CicTypeChecker.type_of_aux' metasenv ~subst context t_in_context + CicUniv.oblivion_ugraph in + let b,u = CicReduction.are_convertible ~metasenv ~subst context ty_of_with_what ty_of_t_in_context u in if b then let concl_pat_for_t = ProofEngineHelpers.pattern_of ~term:ty [t] in @@ -272,13 +283,13 @@ let replace_tac ~(pattern: ProofEngineTypes.lazy_pattern) ~with_what = (ProofEngineTypes.Fail (lazy "Replace: one of the selected terms and the term to be replaced with have not convertible types")) ) l in - let rec aux n whats status = + let rec aux n whats (status : ProofEngineTypes.status) = match whats with [] -> ProofEngineTypes.apply_tactic T.id_tac status | (what,lazy_pattern)::tl -> - let what = CicSubstitution.lift n what in - let with_what = CicSubstitution.lift n with_what in - let ty_of_with_what = CicSubstitution.lift n ty_of_with_what in + let what = S.lift n what in + let with_what = S.lift n with_what in + let ty_of_with_what = S.lift n ty_of_with_what in ProofEngineTypes.apply_tactic (T.thens ~start:( @@ -291,13 +302,14 @@ let replace_tac ~(pattern: ProofEngineTypes.lazy_pattern) ~with_what = ~continuations:[ T.then_ ~start:( - rewrite_tac ~direction:`LeftToRight ~pattern:lazy_pattern (C.Rel 1)) + rewrite_tac + ~direction:`LeftToRight ~pattern:lazy_pattern (C.Rel 1) []) ~continuation:( T.then_ ~start:( ProofEngineTypes.mk_tactic (function ((proof,goal) as status) -> - let _,metasenv,_,_ = proof in + let _,metasenv,_,_,_, _ = proof in let _,context,_ = CicUtil.lookup_meta goal metasenv in let hyps = try @@ -307,12 +319,12 @@ let replace_tac ~(pattern: ProofEngineTypes.lazy_pattern) ~with_what = with (Failure "hd") -> assert false in ProofEngineTypes.apply_tactic - (ProofEngineStructuralRules.clear ~hyps) status)) + (PESR.clear ~hyps) status)) ~continuation:(aux_tac (n + 1) tl)); T.id_tac]) status and aux_tac n tl = ProofEngineTypes.mk_tactic (aux n tl) in - aux 0 whats status + aux 0 whats (status : ProofEngineTypes.status) in ProofEngineTypes.mk_tactic (replace_tac ~pattern ~with_what) ;; @@ -326,14 +338,14 @@ let reflexivity_tac = let symmetry_tac = let symmetry_tac (proof, goal) = - let (_,metasenv,_,_) = proof in + let (_,metasenv,_,_,_, _) = proof in let metano,context,ty = CicUtil.lookup_meta goal metasenv in match (R.whd context ty) with (C.Appl [(C.MutInd (uri, 0, [])); _; _; _]) when LibraryObjects.is_eq_URI uri -> ProofEngineTypes.apply_tactic (PrimitiveTactics.apply_tac - ~term: (C.Const (LibraryObjects.sym_eq_URI uri, []))) + ~term:(C.Const (LibraryObjects.sym_eq_URI uri, []))) (proof,goal) | _ -> raise (ProofEngineTypes.Fail (lazy "Symmetry failed")) @@ -344,7 +356,7 @@ let symmetry_tac = let transitivity_tac ~term = let transitivity_tac ~term status = let (proof, goal) = status in - let (_,metasenv,_,_) = proof in + let (_,metasenv,_,_,_, _) = proof in let metano,context,ty = CicUtil.lookup_meta goal metasenv in match (R.whd context ty) with (C.Appl [(C.MutInd (uri, 0, [])); _; _; _]) @@ -362,66 +374,3 @@ let transitivity_tac ~term = ProofEngineTypes.mk_tactic (transitivity_tac ~term) ;; -(* FG: subst tactic *********************************************************) - -let msg0 = lazy "Subst: not found in context" -let msg1 = lazy "Subst: not a simple equality" -let msg2 = lazy "Subst: recursive equation" - -let subst_tac ~hyp = - let hole = C.Implicit (Some `Hole) in - let map self = function - | Some (C.Name s, _) when s <> self -> Some (s, hole) - | _ -> None - in - let subst_tac status = - let (proof, goal) = status in - let (_, metasenv, _, _) = proof in - let _, context, _ = CicUtil.lookup_meta goal metasenv in - let what = match PEH.get_rel context hyp with - | Some t -> t - | None -> raise (PET.Fail msg0) - in - let ty, _ = TC.type_of_aux' metasenv context what CicUniv.empty_ugraph in - let direction, i, t = match ty with - | (C.Appl [(C.MutInd (uri, 0, [])); _; C.Rel i; t]) - when LO.is_eq_URI uri -> `LeftToRight, i, t - | (C.Appl [(C.MutInd (uri, 0, [])); _; t; C.Rel i]) - when LO.is_eq_URI uri -> `RightToLeft, i, t - | _ -> raise (PET.Fail msg1) - in - let var = match PEH.get_name context i with - | Some name -> name - | None -> raise (PET.Fail msg0) - in - if DTI.does_not_occur i t then () else raise (PET.Fail msg2); - let pattern = None, PEH.list_rev_map_filter (map hyp) context, Some hole in - let start = rewrite_tac ~direction ~pattern what in - let continuation = PESR.clear ~hyps:[hyp; var] in - let tac = T.then_ ~start ~continuation in - PET.apply_tactic tac status - in - PET.mk_tactic subst_tac - -(* FG: This should be replaced by T.try_tactic *) -let try_tactic ~tactic = - let try_tactic status = - try PET.apply_tactic tactic status with - | PET.Fail _ -> PET.apply_tactic T.id_tac status - in - PET.mk_tactic try_tactic - -let subst_tac = - let subst hyp = try_tactic ~tactic:(subst_tac hyp) in - let map = function - | Some (C.Name s, _) -> Some (subst s) - | _ -> None - in - let subst_tac status = - let (proof, goal) = status in - let (_, metasenv, _, _) = proof in - let _, context, _ = CicUtil.lookup_meta goal metasenv in - let tactics = PEH.list_rev_map_filter map context in - PET.apply_tactic (T.seq ~tactics) status - in - PET.mk_tactic subst_tac