X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=helm%2Fsoftware%2Fcomponents%2Ftactics%2FprimitiveTactics.ml;h=6646157240d93ab648ed54386908b03b51da1a28;hb=acc9067d3263ffced81c52539f918d47d418d5c7;hp=5fb8d4ae1eb56f88522cb14133c1a7c846a60e69;hpb=873f8a47b13fbf07df383f3b95d0f4994d2ce136;p=helm.git diff --git a/helm/software/components/tactics/primitiveTactics.ml b/helm/software/components/tactics/primitiveTactics.ml index 5fb8d4ae1..664615724 100644 --- a/helm/software/components/tactics/primitiveTactics.ml +++ b/helm/software/components/tactics/primitiveTactics.ml @@ -25,12 +25,12 @@ (* $Id$ *) -open ProofEngineHelpers open ProofEngineTypes exception TheTypeOfTheCurrentGoalIsAMetaICannotChooseTheRightElimiantionPrinciple exception NotAnInductiveTypeToEliminate exception WrongUriToVariable of string +exception NotAnEliminator (* lambda_abstract newmeta ty *) (* returns a triple [bo],[context],[ty'] where *) @@ -41,7 +41,7 @@ exception WrongUriToVariable of string (* howmany = -1 means Intros, howmany > 0 means Intros n *) let lambda_abstract ?(howmany=(-1)) metasenv context newmeta ty mk_fresh_name = let module C = Cic in - let rec collect_context context howmany ty = + let rec collect_context context howmany do_whd ty = match howmany with | 0 -> let irl = @@ -50,16 +50,16 @@ let lambda_abstract ?(howmany=(-1)) metasenv context newmeta ty mk_fresh_name = context, ty, (C.Meta (newmeta,irl)) | _ -> match ty with - C.Cast (te,_) -> collect_context context howmany te + C.Cast (te,_) -> collect_context context howmany do_whd te | C.Prod (n,s,t) -> let n' = mk_fresh_name metasenv context n ~typ:s in let (context',ty,bo) = - collect_context ((Some (n',(C.Decl s)))::context) (howmany - 1) t + collect_context ((Some (n',(C.Decl s)))::context) (howmany - 1) do_whd t in (context',ty,C.Lambda(n',s,bo)) | C.LetIn (n,s,t) -> let (context',ty,bo) = - collect_context ((Some (n,(C.Def (s,None))))::context) (howmany - 1) t + collect_context ((Some (n,(C.Def (s,None))))::context) (howmany - 1) do_whd t in (context',ty,C.LetIn(n,s,bo)) | _ as t -> @@ -68,10 +68,13 @@ let lambda_abstract ?(howmany=(-1)) metasenv context newmeta ty mk_fresh_name = CicMkImplicit.identity_relocation_list_for_metavariable context in context, t, (C.Meta (newmeta,irl)) - else + else if do_whd then + let t = CicReduction.whd ~delta:true context t in + collect_context context howmany false t + else raise (Fail (lazy "intro(s): not enough products or let-ins")) in - collect_context context howmany ty + collect_context context howmany true ty let eta_expand metasenv context t arg = let module T = CicTypeChecker in @@ -232,7 +235,8 @@ let let new_metasenv_and_unify_and_t newmeta' metasenv' context term' ty termty goal_arity = let (consthead,newmetasenv,arguments,_) = - saturate_term newmeta' metasenv' context termty goal_arity in + TermUtil.saturate_term newmeta' metasenv' context termty + goal_arity in let subst,newmetasenv',_ = CicUnification.fo_unif newmetasenv context consthead ty CicUniv.empty_ugraph in @@ -246,14 +250,14 @@ let rec count_prods context ty = Cic.Prod (n,s,t) -> 1 + count_prods (Some (n,Cic.Decl s)::context) t | _ -> 0 -let apply_tac_verbose_with_subst ~term (proof, goal) = +let apply_with_subst ~term ~subst ~maxmeta (proof, goal) = (* Assumption: The term "term" must be closed in the current context *) let module T = CicTypeChecker in let module R = CicReduction in let module C = Cic in - let (_,metasenv,_,_) = proof in + let (_,metasenv,_,_, _) = proof in let metano,context,ty = CicUtil.lookup_meta goal metasenv in - let newmeta = new_meta_of_proof ~proof in + let newmeta = max (CicMkImplicit.new_meta metasenv subst) maxmeta in let exp_named_subst_diff,newmeta',newmetasenvfragment,term' = match term with C.Var (uri,exp_named_subst) -> @@ -318,27 +322,28 @@ let apply_tac_verbose_with_subst ~term (proof, goal) = CicMetaSubst.apply_subst ((metano,(context,bo',Cic.Implicit None))::subst) in let (newproof, newmetasenv''') = - subst_meta_and_metasenv_in_proof proof metano subst_in newmetasenv'' + ProofEngineHelpers.subst_meta_and_metasenv_in_proof proof metano subst_in + newmetasenv'' in - (((metano,(context,bo',Cic.Implicit None))::subst)(* subst_in *), (* ALB *) - (newproof, - List.map (function (i,_,_) -> i) new_uninstantiatedmetas)) + let subst = ((metano,(context,bo',Cic.Implicit None))::subst) in + subst, + (newproof, List.map (function (i,_,_) -> i) new_uninstantiatedmetas), + max maxmeta (CicMkImplicit.new_meta newmetasenv''' subst) (* ALB *) -let apply_tac_verbose_with_subst ~term status = +let apply_with_subst ~term ?(subst=[]) ?(maxmeta=0) status = try (* apply_tac_verbose ~term status *) - apply_tac_verbose_with_subst ~term status + apply_with_subst ~term ~subst ~maxmeta status (* TODO cacciare anche altre eccezioni? *) with | CicUnification.UnificationFailure msg - | CicTypeChecker.TypeCheckerFailure msg -> - raise (Fail msg) + | CicTypeChecker.TypeCheckerFailure msg -> raise (Fail msg) (* ALB *) let apply_tac_verbose ~term status = - let subst, status = apply_tac_verbose_with_subst ~term status in + let subst, status, _ = apply_with_subst ~term status in (CicMetaSubst.apply_subst subst), status let apply_tac ~term status = snd (apply_tac_verbose ~term status) @@ -364,14 +369,15 @@ let intros_tac ?howmany ?(mk_fresh_name_callback = FreshNamesGenerator.mk_fresh_ = let module C = Cic in let module R = CicReduction in - let (_,metasenv,_,_) = proof in + let (_,metasenv,_,_, _) = proof in let metano,context,ty = CicUtil.lookup_meta goal metasenv in - let newmeta = new_meta_of_proof ~proof in + let newmeta = ProofEngineHelpers.new_meta_of_proof ~proof in let (context',ty',bo') = lambda_abstract ?howmany metasenv context newmeta ty mk_fresh_name_callback in let (newproof, _) = - subst_meta_in_proof proof metano bo' [newmeta,context',ty'] + ProofEngineHelpers.subst_meta_in_proof proof metano bo' + [newmeta,context',ty'] in (newproof, [newmeta]) in @@ -383,9 +389,9 @@ let cut_tac ?(mk_fresh_name_callback = FreshNamesGenerator.mk_fresh_name ~subst: term (proof, goal) = let module C = Cic in - let curi,metasenv,pbo,pty = proof in + let curi,metasenv,pbo,pty, attrs = proof in let metano,context,ty = CicUtil.lookup_meta goal metasenv in - let newmeta1 = new_meta_of_proof ~proof in + let newmeta1 = ProofEngineHelpers.new_meta_of_proof ~proof in let newmeta2 = newmeta1 + 1 in let fresh_name = mk_fresh_name_callback metasenv context (Cic.Name "Hcut") ~typ:term in @@ -405,7 +411,7 @@ let cut_tac ?(mk_fresh_name_callback = FreshNamesGenerator.mk_fresh_name ~subst: C.Meta (newmeta2,irl2)] in let (newproof, _) = - subst_meta_in_proof proof metano bo' + ProofEngineHelpers.subst_meta_in_proof proof metano bo' [newmeta2,context,term; newmeta1,context_for_newmeta1,newmeta1ty]; in (newproof, [newmeta1 ; newmeta2]) @@ -418,11 +424,20 @@ let letin_tac ?(mk_fresh_name_callback=FreshNamesGenerator.mk_fresh_name ~subst: term (proof, goal) = let module C = Cic in - let curi,metasenv,pbo,pty = proof in + let curi,metasenv,pbo,pty, attrs = proof in + (* occur check *) + let occur i t = + let m = CicUtil.metas_of_term t in + List.exists (fun (j,_) -> i=j) m + in let metano,context,ty = CicUtil.lookup_meta goal metasenv in - let _,_ = (* TASSI: FIXME *) + if occur metano term then + raise + (ProofEngineTypes.Fail (lazy + "You can't letin a term containing the current goal")); + let _,_ = CicTypeChecker.type_of_aux' metasenv context term CicUniv.empty_ugraph in - let newmeta = new_meta_of_proof ~proof in + let newmeta = ProofEngineHelpers.new_meta_of_proof ~proof in let fresh_name = mk_fresh_name_callback metasenv context (Cic.Name "Hletin") ~typ:term in let context_for_newmeta = @@ -434,7 +449,7 @@ let letin_tac ?(mk_fresh_name_callback=FreshNamesGenerator.mk_fresh_name ~subst: let newmetaty = CicSubstitution.lift 1 ty in let bo' = C.LetIn (fresh_name,term,C.Meta (newmeta,irl)) in let (newproof, _) = - subst_meta_in_proof + ProofEngineHelpers.subst_meta_in_proof proof metano bo'[newmeta,context_for_newmeta,newmetaty] in (newproof, [newmeta]) @@ -445,7 +460,7 @@ let letin_tac ?(mk_fresh_name_callback=FreshNamesGenerator.mk_fresh_name ~subst: let exact_tac ~term = let exact_tac ~term (proof, goal) = (* Assumption: the term bo must be closed in the current context *) - let (_,metasenv,_,_) = proof in + let (_,metasenv,_,_, _) = proof in let metano,context,ty = CicUtil.lookup_meta goal metasenv in let module T = CicTypeChecker in let module R = CicReduction in @@ -454,7 +469,7 @@ let exact_tac ~term = if b then begin let (newproof, metasenv') = - subst_meta_in_proof proof metano term [] in + ProofEngineHelpers.subst_meta_in_proof proof metano term [] in (newproof, []) end else @@ -463,18 +478,34 @@ let exact_tac ~term = mk_tactic (exact_tac ~term) (* not really "primitive" tactics .... *) -let elim_tac ~term = - let elim_tac ~term (proof, goal) = - let module T = CicTypeChecker in - let module U = UriManager in - let module R = CicReduction in - let module C = Cic in - let (curi,metasenv,proofbo,proofty) = proof in - let metano,context,ty = CicUtil.lookup_meta goal metasenv in - let termty,_ = T.type_of_aux' metasenv context term CicUniv.empty_ugraph in + +module TC = CicTypeChecker +module U = UriManager +module R = CicReduction +module C = Cic +module PET = ProofEngineTypes +module PEH = ProofEngineHelpers +module PER = ProofEngineReduction +module MS = CicMetaSubst +module S = CicSubstitution +module T = Tacticals +module RT = ReductionTactics + +let elim_tac ?using ?(pattern = PET.conclusion_pattern None) term = + let elim_tac (proof, goal) = + let ugraph = CicUniv.empty_ugraph in + let curi, metasenv, proofbo, proofty, attrs = proof in + let conjecture = CicUtil.lookup_meta goal metasenv in + let metano, context, ty = conjecture in +(* let (term, metasenv, _ugraph), cpatt = match pattern with + | Some f, [], Some cpatt -> f context metasenv ugraph, cpatt + | _ -> assert false + in +*) + let termty,_ugraph = TC.type_of_aux' metasenv context term ugraph in let termty = CicReduction.whd context termty in - let (termty,metasenv',arguments,fresh_meta) = - ProofEngineHelpers.saturate_term + let (termty,metasenv',arguments,_fresh_meta) = + TermUtil.saturate_term (ProofEngineHelpers.new_meta_of_proof proof) metasenv context termty 0 in let term = if arguments = [] then term else Cic.Appl (term::arguments) in let uri,exp_named_subst,typeno,args = @@ -487,14 +518,14 @@ let elim_tac ~term = let eliminator_uri = let buri = U.buri_of_uri uri in let name = - let o,_ = CicEnvironment.get_obj CicUniv.empty_ugraph uri in + let o,_ugraph = CicEnvironment.get_obj ugraph uri in match o with C.InductiveDefinition (tys,_,_,_) -> let (name,_,_,_) = List.nth tys typeno in name | _ -> assert false in - let ty_ty,_ = T.type_of_aux' metasenv' context ty CicUniv.empty_ugraph in + let ty_ty,_ugraph = TC.type_of_aux' metasenv' context ty ugraph in let ext = match ty_ty with C.Sort C.Prop -> "_ind" @@ -506,59 +537,213 @@ let elim_tac ~term = in U.uri_of_string (buri ^ "/" ^ name ^ ext ^ ".con") in - let eliminator_ref = C.Const (eliminator_uri,exp_named_subst) in - let ety,_ = - T.type_of_aux' metasenv' context eliminator_ref CicUniv.empty_ugraph in - let rec find_args_no = - function - C.Prod (_,_,t) -> 1 + find_args_no t - | C.Cast (s,_) -> find_args_no s - | C.LetIn (_,_,t) -> 0 + find_args_no t - | _ -> 0 - in - let args_no = find_args_no ety in - let term_to_refine = - let rec make_tl base_case = - function - 0 -> [base_case] - | n -> (C.Implicit None)::(make_tl base_case (n - 1)) - in - C.Appl (eliminator_ref :: make_tl term (args_no - 1)) + let eliminator_ref = match using with + | None -> C.Const (eliminator_uri,exp_named_subst) + | Some t -> t + in + let ety,_ugraph = + TC.type_of_aux' metasenv' context eliminator_ref ugraph in +(* FG: ADDED PART ***********************************************************) +(* FG: we can not assume eliminator is the default eliminator ***************) + let add_lambdas n t = + let rec aux n t = + if n <= 0 then t + else C.Lambda (C.Anonymous, C.Implicit None, aux (pred n) t) + in + aux n (S.lift n t) + in + let rec args_init n f = + if n <= 0 then [] else f n :: args_init (pred n) f + in + let splits, args_no = PEH.split_with_whd (context, ety) in + let pred_pos = match List.hd splits with + | _, C.Rel i when i > 1 && i <= args_no -> i + | _, C.Appl (C.Rel i :: _) when i > 1 && i <= args_no -> i + | _ -> raise NotAnEliminator + in + let _, lambdas = PEH.split_with_whd (List.nth splits pred_pos) in + let termty_ty = + let termty_ty,_ugraph = TC.type_of_aux' metasenv' context termty ugraph in + CicReduction.whd context termty_ty + in +(* + let metasenv', term, pred, upto = match cpatt, termty_ty with + | C.Implicit (Some `Hole), _ + | _, C.Sort C.Prop when lambdas = 0 -> metasenv', term, C.Implicit None, 0 + | _ -> +(* FG: we find the predicate for the eliminator as in the rewrite tactic ****) + let fresh_name = + FreshNamesGenerator.mk_fresh_name + ~subst:[] metasenv' context C.Anonymous ~typ:termty + in + let lazy_term c m u = + let distance = List.length c - List.length context in + S.lift distance term, m, u in - let refined_term,_,metasenv'',_ = + let pattern = Some lazy_term, [], Some cpatt in + let subst, metasenv', _ugraph, _conjecture, selected_terms = + ProofEngineHelpers.select + ~metasenv:metasenv' ~ugraph ~conjecture ~pattern + in + let metasenv' = MS.apply_subst_metasenv subst metasenv' in + let map (_context_of_t, t) l = t :: l in + let what = List.fold_right map selected_terms [] in + let ty = MS.apply_subst subst ty in + let term = MS.apply_subst subst term in + let termty = MS.apply_subst subst termty in + let abstr_ty = PER.replace_with_rel_1_from ~equality:(==) ~what 1 ty in + let abstr_ty = MS.apply_subst subst abstr_ty in + let pred_body = C.Lambda (fresh_name, termty, abstr_ty) in + metasenv', term, add_lambdas (pred lambdas) pred_body, lambdas + in +(* FG: END OF ADDED PART ****************************************************) +*) + let pred, upto = C.Implicit None, 0 in + + let term_to_refine = + let f n = + if n = pred_pos then pred else + if n = 1 then term else C.Implicit None + in + C.Appl (eliminator_ref :: args_init args_no f) + in + let refined_term,_refined_termty,metasenv'',_ugraph = CicRefine.type_of_aux' metasenv' context term_to_refine - CicUniv.empty_ugraph + ugraph in let new_goals = ProofEngineHelpers.compare_metasenvs ~oldmetasenv:metasenv ~newmetasenv:metasenv'' in - let proof' = curi,metasenv'',proofbo,proofty in + let proof' = curi,metasenv'',proofbo,proofty, attrs in let proof'', new_goals' = - apply_tactic (apply_tac ~term:refined_term) (proof',goal) + apply_tactic (apply_tac ~term:refined_term) (proof',goal) in (* The apply_tactic can have closed some of the new_goals *) let patched_new_goals = - let (_,metasenv''',_,_) = proof'' in + let (_,metasenv''',_,_, _) = proof'' in List.filter (function i -> List.exists (function (j,_,_) -> j=i) metasenv''' ) new_goals @ new_goals' in - proof'', patched_new_goals + let res = proof'', patched_new_goals in + if upto = 0 then res else + let pattern = PET.conclusion_pattern None in + let continuation = + RT.simpl_tac ~pattern + (* RT.head_beta_reduce_tac ~delta:false ~upto ~pattern *) + in + let dummy_status = proof,goal in + PET.apply_tactic + (T.then_ ~start:(PET.mk_tactic (fun _ -> res)) ~continuation) + dummy_status in - mk_tactic (elim_tac ~term) + mk_tactic elim_tac ;; +let cases_intros_tac ?(mk_fresh_name_callback = FreshNamesGenerator.mk_fresh_name ~subst:[]) term = + let cases_tac ~term (proof, goal) = + let module TC = CicTypeChecker in + let module U = UriManager in + let module R = CicReduction in + let module C = Cic in + let (curi,metasenv,proofbo,proofty, attrs) = proof in + let metano,context,ty = CicUtil.lookup_meta goal metasenv in + let termty,_ = TC.type_of_aux' metasenv context term CicUniv.empty_ugraph in + let termty = CicReduction.whd context termty in + let (termty,metasenv',arguments,fresh_meta) = + TermUtil.saturate_term + (ProofEngineHelpers.new_meta_of_proof proof) metasenv context termty 0 in + let term = if arguments = [] then term else Cic.Appl (term::arguments) in + let uri,exp_named_subst,typeno,args = + match termty with + C.MutInd (uri,typeno,exp_named_subst) -> (uri,exp_named_subst,typeno,[]) + | C.Appl ((C.MutInd (uri,typeno,exp_named_subst))::args) -> + (uri,exp_named_subst,typeno,args) + | _ -> raise NotAnInductiveTypeToEliminate + in + let paramsno,itty,patterns = + match CicEnvironment.get_obj CicUniv.empty_ugraph uri with + C.InductiveDefinition (tys,_,paramsno,_),_ -> + let _,_,itty,cl = List.nth tys typeno in + let rec aux n context t = + match n,CicReduction.whd context t with + 0,C.Prod (name,source,target) -> + let fresh_name = + mk_fresh_name_callback metasenv' context name + (*CSC: WRONG TYPE HERE: I can get a "bad" name*) + ~typ:source + in + C.Lambda (fresh_name,C.Implicit None, + aux 0 (Some (fresh_name,C.Decl source)::context) target) + | n,C.Prod (name,source,target) -> + let fresh_name = + mk_fresh_name_callback metasenv' context name + (*CSC: WRONG TYPE HERE: I can get a "bad" name*) + ~typ:source + in + aux (n-1) (Some (fresh_name,C.Decl source)::context) target + | 0,_ -> C.Implicit None + | _,_ -> assert false + in + paramsno,itty, + List.map (function (_,cty) -> aux paramsno context cty) cl + | _ -> assert false + in + let outtype = + let target = + C.Lambda (C.Name "fixme",C.Implicit None, + ProofEngineReduction.replace_lifting + ~equality:(ProofEngineReduction.alpha_equivalence) + ~what:[CicSubstitution.lift (paramsno+1) term] + ~with_what:[C.Rel (paramsno+1)] + ~where:(CicSubstitution.lift (paramsno+1) ty)) + in + let rec add_lambdas = + function + 0 -> target + | n -> C.Lambda (C.Name "fixme",C.Implicit None,add_lambdas (n-1)) + in + add_lambdas (count_prods context itty - paramsno) + in + let term_to_refine = + C.MutCase (uri,typeno,outtype,term,patterns) + in + let refined_term,_,metasenv'',_ = + CicRefine.type_of_aux' metasenv' context term_to_refine + CicUniv.empty_ugraph + in + let new_goals = + ProofEngineHelpers.compare_metasenvs + ~oldmetasenv:metasenv ~newmetasenv:metasenv'' + in + let proof' = curi,metasenv'',proofbo,proofty, attrs in + let proof'', new_goals' = + apply_tactic (apply_tac ~term:refined_term) (proof',goal) + in + (* The apply_tactic can have closed some of the new_goals *) + let patched_new_goals = + let (_,metasenv''',_,_,_) = proof'' in + List.filter + (function i -> List.exists (function (j,_,_) -> j=i) metasenv''' + ) new_goals @ new_goals' + in + proof'', patched_new_goals + in + mk_tactic (cases_tac ~term) +;; + + let elim_intros_tac ?(mk_fresh_name_callback = FreshNamesGenerator.mk_fresh_name ~subst:[]) - ?depth ?using what = - Tacticals.then_ ~start:(elim_tac ~term:what) + ?depth ?using ?pattern what = + Tacticals.then_ ~start:(elim_tac ?using ?pattern what) ~continuation:(intros_tac ~mk_fresh_name_callback ?howmany:depth ()) ;; (* The simplification is performed only on the conclusion *) let elim_intros_simpl_tac ?(mk_fresh_name_callback = FreshNamesGenerator.mk_fresh_name ~subst:[]) - ?depth ?using what = - Tacticals.then_ ~start:(elim_tac ~term:what) + ?depth ?using ?pattern what = + Tacticals.then_ ~start:(elim_tac ?using ?pattern what) ~continuation: (Tacticals.thens ~start:(intros_tac ~mk_fresh_name_callback ?howmany:depth ()) @@ -569,21 +754,19 @@ let elim_intros_simpl_tac ?(mk_fresh_name_callback = FreshNamesGenerator.mk_fres (* FG: insetrts a "hole" in the context (derived from letin_tac) *) -module C = Cic - -let letout_tac () = +let letout_tac = let mk_fresh_name_callback = FreshNamesGenerator.mk_fresh_name ~subst:[] in let term = C.Sort C.Set in let letout_tac (proof, goal) = - let curi, metasenv, pbo, pty = proof in + let curi, metasenv, pbo, pty, attrs = proof in let metano, context, ty = CicUtil.lookup_meta goal metasenv in - let newmeta = new_meta_of_proof ~proof in + let newmeta = ProofEngineHelpers.new_meta_of_proof ~proof in let fresh_name = mk_fresh_name_callback metasenv context (Cic.Name "hole") ~typ:term in let context_for_newmeta = None :: context in let irl = CicMkImplicit.identity_relocation_list_for_metavariable context_for_newmeta in let newmetaty = CicSubstitution.lift 1 ty in let bo' = C.LetIn (fresh_name, term, C.Meta (newmeta,irl)) in - let newproof, _ = subst_meta_in_proof proof metano bo'[newmeta,context_for_newmeta,newmetaty] in + let newproof, _ = ProofEngineHelpers.subst_meta_in_proof proof metano bo'[newmeta,context_for_newmeta,newmetaty] in newproof, [newmeta] in mk_tactic letout_tac