* http://cs.unibo.it/helm/.
*)
-let search_theorems_in_context ~status:((proof,goal) as status) =
- let module C = Cic in
- let module R = CicReduction in
- let module S = CicSubstitution in
- prerr_endline "Entro in search_context";
- let _,metasenv,_,_ = proof in
- let _,context,ty = CicUtil.lookup_meta goal metasenv in
- let rec find n = function
- [] -> []
- | hd::tl ->
- let res =
- try
- Some (PrimitiveTactics.apply_tac ~status ~term:(C.Rel n))
- with
- ProofEngineTypes.Fail _ -> None in
- (match res with
- Some res -> res::(find (n+1) tl)
- | None -> find (n+1) tl)
- in
- try
- let res = find 1 context in
- prerr_endline "Ho finito context";
- res
- with Failure s ->
- prerr_endline ("SIAM QUI = " ^ s); []
-;;
-
-
-exception NotApplicableTheorem;;
-exception MaxDepth;;
-
-let depth = 5;;
-
-let rec auto_tac mqi_handle level proof goal =
-prerr_endline "Entro in Auto_rec";
-if level = 0 then
- (* (proof, [goal]) *)
- (prerr_endline ("NON ci credo");
- raise MaxDepth)
-else
- (* choices is a list of pairs proof and goallist *)
- let choices =
- (search_theorems_in_context ~status:(proof,goal))@
- (TacticChaser.searchTheorems mqi_handle ~status:(proof,goal))
- in
- let rec try_choices = function
- [] -> raise NotApplicableTheorem
- | (proof,goallist)::tl ->
-prerr_endline ("GOALLIST = " ^ string_of_int (List.length goallist));
- (try
- List.fold_left
- (fun (proof,opengoals) goal ->
- let newproof, newgoals = auto_tac mqi_handle (level-1) proof goal in
- (newproof, newgoals@opengoals))
- (proof,[]) goallist
- with
- | MaxDepth
- | NotApplicableTheorem ->
- try_choices tl) in
- try_choices choices;;
-
-let auto_tac mqi_handle ~status:(proof,goal) =
- prerr_endline "Entro in Auto";
- try
- let res = auto_tac mqi_handle depth proof goal in
-prerr_endline "AUTO_TAC HA FINITO";
- res
- with
- | MaxDepth -> assert false (* this should happens only if depth is 0 above *)
- | NotApplicableTheorem ->
- prerr_endline("No applicable theorem");
- raise (ProofEngineTypes.Fail "No Applicable theorem");;
(* TODO se ce n'e' piu' di una, prende la prima che trova... sarebbe meglio
chiedere: find dovrebbe restituire una lista di hyp (?) da passare all'utonto con una
funzione di callback che restituisce la (sola) hyp da applicare *)
-let assumption_tac ~status:((proof,goal) as status) =
+let assumption_tac =
+ let module PET = ProofEngineTypes in
+ let assumption_tac status =
+ let (proof, goal) = status in
let module C = Cic in
let module R = CicReduction in
let module S = CicSubstitution in
- let _,metasenv,_,_ = proof in
- let _,context,ty = CicUtil.lookup_meta goal metasenv in
- let rec find n = function
- hd::tl ->
- (match hd with
+ let module PT = PrimitiveTactics in
+ let _,metasenv,_,_ = proof in
+ let _,context,ty = CicUtil.lookup_meta goal metasenv in
+ let rec find n = function
+ hd::tl ->
+ (match hd with
(Some (_, C.Decl t)) when
- (R.are_convertible context (S.lift n t) ty) -> n
+ fst (R.are_convertible context (S.lift n t) ty
+ CicUniv.empty_ugraph) -> n
| (Some (_, C.Def (_,Some ty'))) when
- (R.are_convertible context ty' ty) -> n
- | (Some (_, C.Def (t,None))) when
- (R.are_convertible context
- (CicTypeChecker.type_of_aux' metasenv context (S.lift n t)) ty) -> n
+ fst (R.are_convertible context (S.lift n ty') ty
+ CicUniv.empty_ugraph) -> n
+ | (Some (_, C.Def (t,None))) ->
+ let ty_t, u = (* TASSI: FIXME *)
+ CicTypeChecker.type_of_aux' metasenv context (S.lift n t)
+ CicUniv.empty_ugraph in
+ let b,_ = R.are_convertible context ty_t ty u in
+ if b then n else find (n+1) tl
| _ -> find (n+1) tl
)
- | [] -> raise (ProofEngineTypes.Fail "Assumption: No such assumption")
- in PrimitiveTactics.apply_tac ~status ~term:(C.Rel (find 1 context))
+ | [] -> raise (PET.Fail (lazy "Assumption: No such assumption"))
+ in PET.apply_tactic (PT.apply_tac ~term:(C.Rel (find 1 context))) status
+ in
+ PET.mk_tactic assumption_tac
;;
(* ANCORA DA DEBUGGARE *)
+exception UnableToDetectTheTermThatMustBeGeneralizedYouMustGiveItExplicitly;;
+exception TheSelectedTermsMustLiveInTheGoalContext
exception AllSelectedTermsMustBeConvertible;;
+exception GeneralizationInHypothesesNotImplementedYet;;
-(* serve una funzione che cerchi nel ty dal basso a partire da term, i lambda
-e li aggiunga nel context, poi si conta la lunghezza di questo nuovo
-contesto e si lifta di tot... COSA SIGNIFICA TUTTO CIO'?????? *)
-
-let generalize_tac
- ?(mk_fresh_name_callback = FreshNamesGenerator.mk_fresh_name)
- terms ~status:((proof,goal) as status)
-=
- let module C = Cic in
- let module P = PrimitiveTactics in
- let module T = Tacticals in
- let _,metasenv,_,_ = proof in
- let _,context,ty = CicUtil.lookup_meta goal metasenv in
- let typ =
- match terms with
- [] -> assert false
- | he::tl ->
- (* We need to check that all the convertibility of all the terms *)
- List.iter
- (function t ->
- if not (CicReduction.are_convertible context he t) then
- raise AllSelectedTermsMustBeConvertible
- ) tl ;
- (CicTypeChecker.type_of_aux' metasenv context he)
+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,concl_pat) status
+ =
+ if hyps_pat <> [] then raise GeneralizationInHypothesesNotImplementedYet;
+ let (proof, goal) = status in
+ let module C = Cic 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
+ let subst,metasenv,u,selected_hyps,terms_with_context =
+ ProofEngineHelpers.select ~metasenv ~ugraph:CicUniv.empty_ugraph
+ ~conjecture ~pattern in
+ let context = CicMetaSubst.apply_subst_context subst context in
+ let metasenv = CicMetaSubst.apply_subst_metasenv subst metasenv in
+ let pbo = CicMetaSubst.apply_subst subst pbo in
+ let pty = CicMetaSubst.apply_subst subst pty in
+ let status = (uri,metasenv,pbo,pty),goal 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, 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
- T.thens
- ~start:
- (P.cut_tac
- (C.Prod(
- (mk_fresh_name_callback metasenv context C.Anonymous typ),
- typ,
- (ProofEngineReduction.replace_lifting_csc 1
- ~equality:(==)
- ~what:terms
- ~with_what:(List.map (function _ -> C.Rel 1) terms)
- ~where:ty)
- )))
- ~continuations: [(P.apply_tac ~term:(C.Rel 1)) ; T.id_tac]
- ~status
+ (* 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 (
+ (* TASSI: FIXME *)
+ 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) ;
+ PET.apply_tactic
+ (T.thens
+ ~start:
+ (P.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:
+ [(P.apply_tac ~term:(C.Appl [C.Rel 1; CicSubstitution.lift 1 term])) ;
+ T.id_tac])
+ status
+ in
+ PET.mk_tactic (generalize_tac mk_fresh_name_callback ~pattern)
;;
-
-
projects / helm.git / blobdiff