in
PET.mk_tactic (apply_tac ~term)
+let applyP_tac ~term =
+ let applyP_tac status =
+ let res = PET.apply_tactic (apply_tac ~term) status in res
+ in
+ PET.mk_tactic applyP_tac
+
let intros_tac ?howmany ?(mk_fresh_name_callback = FreshNamesGenerator.mk_fresh_name ~subst:[]) ()=
let intros_tac (proof, goal)
=
in
PET.mk_tactic (letin_tac ~mk_fresh_name_callback term)
- (** functional part of the "exact" tactic *)
-let exact_tac ~term =
- let exact_tac ~term (proof, goal) =
- (* Assumption: the term bo must be closed in the current context *)
- let (_,metasenv,_subst,_,_, _) = proof in
- let metano,context,ty = CicUtil.lookup_meta goal metasenv in
- let module T = CicTypeChecker in
- let module R = CicReduction in
- let ty_term,u = T.type_of_aux' metasenv context term CicUniv.oblivion_ugraph in
- let b,_ = R.are_convertible context ty_term ty u in (* TASSI: FIXME *)
- if b then
- begin
- let (newproof, metasenv') =
- ProofEngineHelpers.subst_meta_in_proof proof metano term [] in
- (newproof, [])
- end
- else
- raise (PET.Fail (lazy "The type of the provided term is not the one expected."))
- in
- PET.mk_tactic (exact_tac ~term)
+(* FG: exact_tac := apply_tac as in NTactics *)
+let exact_tac ~term = apply_tac ~term
(* not really "primitive" tactics .... *)
(* FG: we find the predicate for the eliminator as in the rewrite tactic ****)
let argty, _ugraph = TC.type_of_aux' metasenv context arg ugraph in
let argty = CicReduction.whd context argty in
- let fresh_name =
+ let fresh_name =
FreshNamesGenerator.mk_fresh_name
- ~subst:[] metasenv context' C.Anonymous ~typ:argty
- in
+ ~subst:[] metasenv context' C.Anonymous ~typ:argty in
let hyp = Some (fresh_name, C.Decl argty) in
let lazy_term c m u =
- let distance = List.length c - List.length context in
- S.lift distance arg, m, u
- in
+ let distance = List.length c - List.length context in
+ S.lift distance arg, m, u in
let pattern = Some lazy_term, [], Some cpattern' in
let subst, metasenv, _ugraph, _conjecture, selected_terms =
- ProofEngineHelpers.select
- ~metasenv ~ugraph ~conjecture:(0, context, pred) ~pattern
- in
+ ProofEngineHelpers.select ~metasenv ~ugraph
+ ~conjecture:(0, context, pred) ~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
PET.apply_tactic tactic status
in
PET.mk_tactic beta_after_elim_tac
-
+
+(* ANCORA DA DEBUGGARE *)
+
+exception UnableToDetectTheTermThatMustBeGeneralizedYouMustGiveItExplicitly;;
+exception TheSelectedTermsMustLiveInTheGoalContext
+exception AllSelectedTermsMustBeConvertible;;
+exception GeneralizationInHypothesesNotImplementedYet;;
+
+let generalize_tac
+ ?(mk_fresh_name_callback = FreshNamesGenerator.mk_fresh_name ~subst:[])
+ pattern
+ =
+ let module PET = ProofEngineTypes in
+ let generalize_tac mk_fresh_name_callback
+ ~pattern:(term,hyps_pat,_) status
+ =
+ if hyps_pat <> [] then raise GeneralizationInHypothesesNotImplementedYet;
+ let (proof, goal) = status in
+ let module C = Cic in
+ let module T = Tacticals in
+ let uri,metasenv,_subst,pbo,pty, attrs = proof in
+ let (_,context,ty) as conjecture = CicUtil.lookup_meta goal metasenv in
+ let subst,metasenv,u,selected_hyps,terms_with_context =
+ ProofEngineHelpers.select ~metasenv ~ugraph:CicUniv.oblivion_ugraph
+ ~conjecture ~pattern in
+ let context = CicMetaSubst.apply_subst_context subst context in
+ let metasenv = CicMetaSubst.apply_subst_metasenv subst metasenv in
+ let pbo = lazy (CicMetaSubst.apply_subst subst (Lazy.force pbo)) in
+ let pty = CicMetaSubst.apply_subst subst pty in
+ let term =
+ match term with
+ None -> None
+ | Some term ->
+ Some (fun context metasenv ugraph ->
+ let term, metasenv, ugraph = term context metasenv ugraph in
+ CicMetaSubst.apply_subst subst term,
+ CicMetaSubst.apply_subst_metasenv subst metasenv,
+ ugraph)
+ in
+ let u,typ,term, metasenv' =
+ let context_of_t, (t, metasenv, u) =
+ match terms_with_context, term with
+ [], None ->
+ raise
+ UnableToDetectTheTermThatMustBeGeneralizedYouMustGiveItExplicitly
+ | [], Some t -> context, t context metasenv u
+ | (context_of_t, _)::_, Some t ->
+ context_of_t, t context_of_t metasenv u
+ | (context_of_t, t)::_, None -> context_of_t, (t, metasenv, u)
+ in
+ let t,subst,metasenv' =
+ try
+ CicMetaSubst.delift_rels [] metasenv
+ (List.length context_of_t - List.length context) t
+ with
+ CicMetaSubst.DeliftingARelWouldCaptureAFreeVariable ->
+ raise TheSelectedTermsMustLiveInTheGoalContext
+ in
+ (*CSC: I am not sure about the following two assertions;
+ maybe I need to propagate the new subst and metasenv *)
+ assert (subst = []);
+ assert (metasenv' = metasenv);
+ let typ,u = CicTypeChecker.type_of_aux' ~subst metasenv context t u in
+ u,typ,t,metasenv
+ in
+ (* We need to check:
+ 1. whether they live in the context of the goal;
+ if they do they are also well-typed since they are closed subterms
+ of a well-typed term in the well-typed context of the well-typed
+ term
+ 2. whether they are convertible
+ *)
+ ignore (
+ List.fold_left
+ (fun u (context_of_t,t) ->
+ (* 1 *)
+ let t,subst,metasenv'' =
+ try
+ CicMetaSubst.delift_rels [] metasenv'
+ (List.length context_of_t - List.length context) t
+ with
+ CicMetaSubst.DeliftingARelWouldCaptureAFreeVariable ->
+ raise TheSelectedTermsMustLiveInTheGoalContext in
+ (*CSC: I am not sure about the following two assertions;
+ maybe I need to propagate the new subst and metasenv *)
+ assert (subst = []);
+ assert (metasenv'' = metasenv');
+ (* 2 *)
+ let b,u1 = CicReduction.are_convertible ~subst context term t u in
+ if not b then
+ raise AllSelectedTermsMustBeConvertible
+ else
+ u1
+ ) u terms_with_context) ;
+ let status = (uri,metasenv',_subst,pbo,pty, attrs),goal in
+ let proof,goals =
+ PET.apply_tactic
+ (T.thens
+ ~start:
+ (cut_tac
+ (C.Prod(
+ (mk_fresh_name_callback metasenv context C.Anonymous ~typ:typ),
+ typ,
+ (ProofEngineReduction.replace_lifting_csc 1
+ ~equality:(==)
+ ~what:(List.map snd terms_with_context)
+ ~with_what:(List.map (function _ -> C.Rel 1) terms_with_context)
+ ~where:ty)
+ )))
+ ~continuations:
+ [(apply_tac ~term:(C.Appl [C.Rel 1; CicSubstitution.lift 1 term])) ;
+ T.id_tac])
+ status
+ in
+ let _,metasenv'',_subst,_,_, _ = proof in
+ (* CSC: the following is just a bad approximation since a meta
+ can be closed and then re-opened! *)
+ (proof,
+ goals @
+ (List.filter
+ (fun j -> List.exists (fun (i,_,_) -> i = j) metasenv'')
+ (ProofEngineHelpers.compare_metasenvs ~oldmetasenv:metasenv
+ ~newmetasenv:metasenv')))
+ in
+ PET.mk_tactic (generalize_tac mk_fresh_name_callback ~pattern)
+;;
+
+let generalize_pattern_tac pattern =
+ let generalize_pattern_tac (proof,goal) =
+ let _,metasenv,_,_,_,_ = proof in
+ let conjecture = CicUtil.lookup_meta goal metasenv in
+ let _,context,_ = conjecture in
+ let generalize_hyps =
+ let _,hpatterns,_ = ProofEngineHelpers.sort_pattern_hyps context pattern in
+ List.map fst hpatterns in
+ let ids_and_patterns =
+ List.map
+ (fun id ->
+ let rel,_ = ProofEngineHelpers.find_hyp id context in
+ id,(Some (fun ctx m u -> CicSubstitution.lift (List.length ctx - List.length context) rel,m,u), [], Some (ProofEngineTypes.hole))
+ ) generalize_hyps in
+ let tactics =
+ List.map
+ (function (id,pattern) ->
+ Tacticals.then_ ~start:(generalize_tac pattern)
+ ~continuation:(Tacticals.try_tactic
+ (ProofEngineStructuralRules.clear [id]))
+ ) ids_and_patterns
+ in
+ PET.apply_tactic (Tacticals.seq tactics) (proof,goal)
+ in
+ PET.mk_tactic (generalize_pattern_tac)
+;;
+
+let pattern_after_generalize_pattern_tac (tp, hpatterns, cpattern) =
+ let cpattern =
+ match cpattern with
+ None -> ProofEngineTypes.hole
+ | Some t -> t
+ in
+ let cpattern =
+ List.fold_left
+ (fun t (_,ty) -> Cic.Prod (Cic.Anonymous, ty, t)) cpattern hpatterns
+ in
+ tp, [], Some cpattern
+;;
+
let elim_tac ?using ?(pattern = PET.conclusion_pattern None) term =
- let elim_tac (proof, goal) =
- let cpattern = match pattern with
- | None, [], Some cpattern -> cpattern
- | _ -> raise (PET.Fail (lazy "not implemented"))
- in
+ let elim_tac pattern (proof, goal) =
let ugraph = CicUniv.oblivion_ugraph in
let curi, metasenv, _subst, proofbo, proofty, attrs = proof in
let conjecture = CicUtil.lookup_meta goal metasenv in
let metano, context, ty = conjecture in
+ let pattern = pattern_after_generalize_pattern_tac pattern in
+ let cpattern =
+ match pattern with
+ | None, [], Some cpattern -> cpattern
+ | _ -> raise (PET.Fail (lazy "not implemented")) 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 =
match ty_ty with
C.Sort C.Prop -> "_ind"
| C.Sort C.Set -> "_rec"
- | C.Sort C.CProp -> "_rec"
+ | C.Sort (C.CProp _) -> "_rect"
| C.Sort (C.Type _)-> "_rect"
| C.Meta (_,_) -> raise TheTypeOfTheCurrentGoalIsAMetaICannotChooseTheRightElimiantionPrinciple
| _ -> assert false
(T.then_ ~start:(PET.mk_tactic (fun _ -> res)) ~continuation)
dummy_status
in
- PET.mk_tactic elim_tac
+ let reorder_pattern ((proof, goal) as status) =
+ let _,metasenv,_,_,_,_ = proof in
+ let conjecture = CicUtil.lookup_meta goal metasenv in
+ let _,context,_ = conjecture in
+ let pattern = ProofEngineHelpers.sort_pattern_hyps context pattern in
+ PET.apply_tactic
+ (Tacticals.then_ ~start:(generalize_pattern_tac pattern)
+ ~continuation:(PET.mk_tactic (elim_tac pattern))) status
+ in
+ PET.mk_tactic reorder_pattern
;;
-let cases_intros_tac ?(howmany=(-1)) ?(mk_fresh_name_callback = FreshNamesGenerator.mk_fresh_name ~subst:[]) term =
- let cases_tac ~term (proof, goal) =
+let cases_intros_tac ?(howmany=(-1)) ?(mk_fresh_name_callback = FreshNamesGenerator.mk_fresh_name ~subst:[]) ?(pattern = PET.conclusion_pattern None) term =
+ let cases_tac pattern (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,_subst, proofbo,proofty, attrs) = proof in
let metano,context,ty = CicUtil.lookup_meta goal metasenv in
+ let pattern = pattern_after_generalize_pattern_tac pattern in
+ let _cpattern =
+ match pattern with
+ | None, [], Some cpattern ->
+ let rec is_hole =
+ function
+ Cic.Implicit (Some `Hole) -> true
+ | Cic.Prod (Cic.Anonymous,so,tgt) -> is_hole so && is_hole tgt
+ | _ -> false
+ in
+ if not (is_hole cpattern) then
+ raise (PET.Fail (lazy "not implemented"))
+ | _ -> raise (PET.Fail (lazy "not implemented")) in
let termty,_ = TC.type_of_aux' metasenv context term CicUniv.oblivion_ugraph in
let termty = CicReduction.whd context termty in
let (termty,metasenv',arguments,fresh_meta) =
right_args
| _ -> assert false
in
- let outtype =
+ let outtypes =
let n_right_args = List.length right_args in
let n_lambdas = n_right_args + 1 in
let lifted_ty = CicSubstitution.lift n_lambdas ty in
if not !replaced then
(* this means the matched term is not there,
* but maybe right params are: we user rels (to right args lambdas) *)
- replace ~what ~with_what:(with_what false) ~where:captured
+ [replace ~what ~with_what:(with_what false) ~where:captured]
else
(* since the matched is there, rights should be inferrable *)
- replace ~what ~with_what:(with_what true) ~where:captured
+ [replace ~what ~with_what:(with_what false) ~where:captured;
+ replace ~what ~with_what:(with_what true) ~where:captured]
in
let captured_term_ty =
let term_ty = CicSubstitution.lift n_right_args termty in
fstn [] args paramsno @ mkrels n_right_args)
| _ -> raise NotAnInductiveTypeToEliminate
in
- let rec add_lambdas = function
+ let rec add_lambdas captured_ty = function
| 0 -> captured_ty
| 1 ->
- C.Lambda (C.Name "matched", captured_term_ty, (add_lambdas 0))
+ C.Lambda (C.Name "matched", captured_term_ty, (add_lambdas captured_ty 0))
| n ->
C.Lambda (C.Name ("right_"^(string_of_int (n-1))),
- C.Implicit None, (add_lambdas (n-1)))
+ C.Implicit None, (add_lambdas captured_ty (n-1)))
in
- add_lambdas n_lambdas
- 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.oblivion_ugraph
+ List.map (fun x -> add_lambdas x n_lambdas) captured_ty
in
- let new_goals =
- ProofEngineHelpers.compare_metasenvs
- ~oldmetasenv:metasenv ~newmetasenv:metasenv''
- in
- let proof' = curi,metasenv'',_subst,proofbo,proofty, attrs in
- let proof'', new_goals' =
- PET.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''',_subst,_,_,_) = proof'' in
- List.filter
- (function i -> List.exists (function (j,_,_) -> j=i) metasenv''')
- new_goals @ new_goals'
- in
- proof'', patched_new_goals
+ let rec first = (* easier than using tacticals *)
+ function
+ | [] -> raise (PET.Fail (lazy ("unable to generate a working outtype")))
+ | outtype::rest ->
+ let term_to_refine = C.MutCase (uri,typeno,outtype,term,patterns) in
+ try
+ let refined_term,_,metasenv'',_ =
+ CicRefine.type_of_aux' metasenv' context term_to_refine
+ CicUniv.oblivion_ugraph
+ in
+ let new_goals =
+ ProofEngineHelpers.compare_metasenvs
+ ~oldmetasenv:metasenv ~newmetasenv:metasenv''
+ in
+ let proof' = curi,metasenv'',_subst,proofbo,proofty, attrs in
+ let proof'', new_goals' =
+ PET.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''',_subst,_,_,_) = proof'' in
+ List.filter
+ (function i -> List.exists (function (j,_,_) -> j=i) metasenv''')
+ new_goals @ new_goals'
+ in
+ proof'', patched_new_goals
+ with PET.Fail _ | CicRefine.RefineFailure _ | CicRefine.Uncertain _ -> first rest
in
- PET.mk_tactic (cases_tac ~term)
+ first outtypes
+ in
+ let reorder_pattern ((proof, goal) as status) =
+ let _,metasenv,_,_,_,_ = proof in
+ let conjecture = CicUtil.lookup_meta goal metasenv in
+ let _,context,_ = conjecture in
+ let pattern = ProofEngineHelpers.sort_pattern_hyps context pattern in
+ PET.apply_tactic
+ (Tacticals.then_ ~start:(generalize_pattern_tac pattern)
+ ~continuation:(PET.mk_tactic (cases_tac pattern))) status
+ in
+ PET.mk_tactic reorder_pattern
;;
projects / helm.git / blobdiff