X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=components%2Ftactics%2FequalityTactics.ml;h=5a07e4e63b94fa23dcf27a8bb43a5b794b01c156;hb=549c0abf3f9d170db297a8b9d35bf4bf97288662;hp=cca2c1a5902b9256736dd8b1001abe42c1d3ea22;hpb=979d6b24af322d882c104b53bd0a7fd5919287da;p=helm.git diff --git a/components/tactics/equalityTactics.ml b/components/tactics/equalityTactics.ml index cca2c1a59..5a07e4e63 100644 --- a/components/tactics/equalityTactics.ml +++ b/components/tactics/equalityTactics.ml @@ -24,16 +24,24 @@ *) (* $Id$ *) - + +module C = Cic +module U = UriManager +module PET = ProofEngineTypes +module PER = ProofEngineReduction +module PEH = ProofEngineHelpers +module PESR = ProofEngineStructuralRules +module P = PrimitiveTactics +module T = Tacticals +module R = CicReduction +module S = CicSubstitution +module TC = CicTypeChecker +module LO = LibraryObjects +module DTI = DoubleTypeInference + let rec rewrite_tac ~direction ~(pattern: ProofEngineTypes.lazy_pattern) equality = let _rewrite_tac ~direction ~pattern:(wanted,hyps_pat,concl_pat) equality status = - 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 assert (wanted = None); (* this should be checked syntactically *) let proof,goal = status in let curi, metasenv, pbo, pty = proof in @@ -44,25 +52,27 @@ let rec rewrite_tac ~direction ~(pattern: ProofEngineTypes.lazy_pattern) equalit (Tacticals.then_ (rewrite_tac ~direction ~pattern:(None,[he],None) equality) - (rewrite_tac ~direction ~pattern:(None,tl,concl_pat) equality) + (rewrite_tac ~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) equality) + (rewrite_tac ~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 _ -> PT.exact_tac term),concl_pat,gty + [] -> 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 + Cic.Rel n, S.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 @@ -73,14 +83,14 @@ let rec rewrite_tac ~direction ~(pattern: ProofEngineTypes.lazy_pattern) equalit Tacticals.seq ~tactics: [ProofEngineStructuralRules.rename name dummy; - PT.letin_tac + P.letin_tac ~mk_fresh_name_callback:(fun _ _ _ ~typ -> Cic.Name name) term; ProofEngineStructuralRules.clearbody name; - ReductionTactics.change_tac + ReductionTactics.change_tac ~pattern: (None,[name,Cic.Implicit (Some `Hole)], None) (ProofEngineTypes.const_lazy_term typ); - ProofEngineStructuralRules.clear dummy + ProofEngineStructuralRules.clear [dummy] ]), Some pat,gty | _::_ -> assert false @@ -95,7 +105,7 @@ let rec rewrite_tac ~direction ~(pattern: ProofEngineTypes.lazy_pattern) equalit CicUniv.empty_ugraph in let (ty_eq,metasenv',arguments,fresh_meta) = ProofEngineHelpers.saturate_term - (ProofEngineHelpers.new_meta_of_proof proof) metasenv context ty_eq 0 in + (ProofEngineHelpers.new_meta_of_proof proof) metasenv context ty_eq 0 in let equality = if List.length arguments = 0 then equality @@ -120,22 +130,22 @@ let rec rewrite_tac ~direction ~(pattern: ProofEngineTypes.lazy_pattern) equalit 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 + 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 term -> Some (S.lift 1 term) in Some (fun _ m u -> lifted_t1, m, u),[],lifted_concl_pat in let subst,metasenv',ugraph,_,selected_terms_with_context = ProofEngineHelpers.select ~metasenv:metasenv' ~ugraph ~conjecture:lifted_conjecture ~pattern:lifted_pattern in - let metasenv' = CicMetaSubst.apply_subst_metasenv subst metasenv' in + let metasenv' = CicMetaSubst.apply_subst_metasenv subst metasenv' in let what,with_what = (* Note: Rel 1 does not live in the context context_of_t *) (* The replace_lifting_csc 0 function will take care of lifting it *) @@ -146,6 +156,8 @@ 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 pty = CicMetaSubst.apply_subst subst pty in let equality = CicMetaSubst.apply_subst subst equality in let abstr_gty = ProofEngineReduction.replace_lifting_csc 0 @@ -157,27 +169,32 @@ 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 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 = C.Appl [eq_ind ; ty ; t2 ; pred ; arg ; t1 ;equality] in - let (proof',goals) = - PET.apply_tactic - (tac ~term:exact_proof newtyp) ((curi,metasenv',pbo,pty),goal) - in - let goals = - goals@(ProofEngineHelpers.compare_metasenvs ~oldmetasenv:metasenv - ~newmetasenv:metasenv') - in - (proof',goals) + try + let (proof',goals) = + PET.apply_tactic + (tac ~term:exact_proof newtyp) ((curi,metasenv',pbo,pty),goal) + in + let goals = + goals@(ProofEngineHelpers.compare_metasenvs ~oldmetasenv:metasenv + ~newmetasenv:metasenv') + in + (proof',goals) + with (* FG: this should be PET.Fail _ *) + TC.TypeCheckerFailure _ -> + let msg = lazy "rewrite: nothing to rewrite" in + raise (PET.Fail msg) in ProofEngineTypes.mk_tactic (_rewrite_tac ~direction ~pattern equality) @@ -199,13 +216,14 @@ 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 module C = Cic in - let module U = UriManager in - let module P = PrimitiveTactics in - let module T = Tacticals in let uri,metasenv,pbo,pty = proof in let (_,context,ty) as conjecture = CicUtil.lookup_meta goal metasenv in assert (hyps_pat = []); (*CSC: not implemented yet *) + let eq_URI = + match LibraryObjects.eq_URI () with + Some uri -> uri + | None -> raise (ProofEngineTypes.Fail (lazy "You need to register the default equality first. Please use the \"default\" command")) + in let context_len = List.length context in let subst,metasenv,u,_,selected_terms_with_context = ProofEngineHelpers.select ~metasenv ~ugraph:CicUniv.empty_ugraph @@ -261,15 +279,15 @@ let replace_tac ~(pattern: ProofEngineTypes.lazy_pattern) ~with_what = 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:( P.cut_tac (C.Appl [ - (C.MutInd (LibraryObjects.eq_URI (), 0, [])) ; + (C.MutInd (eq_URI, 0, [])) ; ty_of_with_what ; what ; with_what])) @@ -284,15 +302,15 @@ let replace_tac ~(pattern: ProofEngineTypes.lazy_pattern) ~with_what = (function ((proof,goal) as status) -> let _,metasenv,_,_ = proof in let _,context,_ = CicUtil.lookup_meta goal metasenv in - let hyp = + let hyps = try match List.hd context with - Some (Cic.Name name,_) -> name + Some (Cic.Name name,_) -> [name] | _ -> assert false with (Failure "hd") -> assert false in ProofEngineTypes.apply_tactic - (ProofEngineStructuralRules.clear ~hyp) status)) + (ProofEngineStructuralRules.clear ~hyps) status)) ~continuation:(aux_tac (n + 1) tl)); T.id_tac]) status @@ -311,9 +329,6 @@ let reflexivity_tac = let symmetry_tac = let symmetry_tac (proof, goal) = - let module C = Cic in - let module R = CicReduction in - let module U = UriManager in let (_,metasenv,_,_) = proof in let metano,context,ty = CicUtil.lookup_meta goal metasenv in match (R.whd context ty) with @@ -332,10 +347,6 @@ let symmetry_tac = let transitivity_tac ~term = let transitivity_tac ~term status = let (proof, goal) = status in - let module C = Cic in - let module R = CicReduction in - let module U = UriManager in - let module T = Tacticals in let (_,metasenv,_,_) = proof in let metano,context,ty = CicUtil.lookup_meta goal metasenv in match (R.whd context ty) with @@ -354,4 +365,83 @@ let transitivity_tac ~term = ProofEngineTypes.mk_tactic (transitivity_tac ~term) ;; +(* FG: subst tactic *********************************************************) + +(* 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 rec lift_rewrite_tac ~context ~direction ~pattern equality = + let lift_rewrite_tac status = + let (proof, goal) = status in + let (_, metasenv, _, _) = proof in + let _, new_context, _ = CicUtil.lookup_meta goal metasenv in + let n = List.length new_context - List.length context in + let equality = if n > 0 then S.lift n equality else equality in + PET.apply_tactic (rewrite_tac ~direction ~pattern equality) status + in + PET.mk_tactic lift_rewrite_tac + + +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 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 rewrite pattern = + let tactic = lift_rewrite_tac ~context ~direction ~pattern what in + try_tactic ~tactic + 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 map self = function + | Some (C.Name s, _) when s <> self -> + Some (rewrite (None, [(s, hole)], None)) + | _ -> None + in + let rew_hips = PEH.list_rev_map_filter (map hyp) context in + let rew_concl = rewrite (None, [], Some hole) in + let clear = PESR.clear ~hyps:[hyp; var] in + let tactics = List.rev_append (rew_concl :: rew_hips) [clear] in + PET.apply_tactic (T.seq ~tactics) status + in + PET.mk_tactic subst_tac +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