src/HOL/BNF/Tools/bnf_fp_sugar.ML
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(*  Title:      HOL/BNF/Tools/bnf_fp_sugar.ML
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    Author:     Jasmin Blanchette, TU Muenchen
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    Copyright   2012
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Sugared datatype and codatatype constructions.
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*)
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signature BNF_FP_SUGAR =
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sig
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  val datatypes: bool ->
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    (mixfix list -> (string * sort) list option -> binding list -> typ list * typ list list ->
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      BNF_Def.BNF list -> local_theory ->
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      (term list * term list * term list *term list * term list * thm * thm list * thm list *
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         thm list * thm list * thm list) * local_theory) ->
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    bool * ((((typ * sort) list * binding) * mixfix) * ((((binding * binding) *
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      (binding * typ) list) * (binding * term) list) * mixfix) list) list ->
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    local_theory -> local_theory
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  val parse_datatype_cmd: bool ->
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    (mixfix list -> (string * sort) list option -> binding list -> typ list * typ list list ->
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      BNF_Def.BNF list -> local_theory ->
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      (term list * term list * term list * term list * term list * thm * thm list * thm list *
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         thm list * thm list * thm list) * local_theory) ->
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    (local_theory -> local_theory) parser
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end;
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structure BNF_FP_Sugar : BNF_FP_SUGAR =
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struct
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open BNF_Util
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open BNF_Wrap
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open BNF_Def
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open BNF_FP
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open BNF_FP_Sugar_Tactics
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val simp_attrs = @{attributes [simp]};
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fun split_list9 xs =
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  (map #1 xs, map #2 xs, map #3 xs, map #4 xs, map #5 xs, map #6 xs, map #7 xs, map #8 xs,
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   map #9 xs);
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fun resort_tfree S (TFree (s, _)) = TFree (s, S);
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fun typ_subst inst (T as Type (s, Ts)) =
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    (case AList.lookup (op =) inst T of
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      NONE => Type (s, map (typ_subst inst) Ts)
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    | SOME T' => T')
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  | typ_subst inst T = the_default T (AList.lookup (op =) inst T);
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val lists_bmoc = fold (fn xs => fn t => Term.list_comb (t, xs));
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fun mk_tupled_fun x f xs = HOLogic.tupled_lambda x (Term.list_comb (f, xs));
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fun mk_uncurried_fun f xs = mk_tupled_fun (HOLogic.mk_tuple xs) f xs;
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fun mk_uncurried2_fun f xss =
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  mk_tupled_fun (HOLogic.mk_tuple (map HOLogic.mk_tuple xss)) f (flat xss);
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fun mk_ctor_or_dtor get_T Ts t =
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  let val Type (_, Ts0) = get_T (fastype_of t) in
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    Term.subst_atomic_types (Ts0 ~~ Ts) t
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  end;
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val mk_ctor = mk_ctor_or_dtor range_type;
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val mk_dtor = mk_ctor_or_dtor domain_type;
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fun mk_rec_like lfp Ts Us t =
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  let
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    val (bindings, body) = strip_type (fastype_of t);
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    val (f_Us, prebody) = split_last bindings;
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    val Type (_, Ts0) = if lfp then prebody else body;
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    val Us0 = distinct (op =) (map (if lfp then body_type else domain_type) f_Us);
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  in
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    Term.subst_atomic_types (Ts0 @ Us0 ~~ Ts @ Us) t
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  end;
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fun mk_map live Ts Us t =
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  let val (Type (_, Ts0), Type (_, Us0)) = strip_typeN (live + 1) (fastype_of t) |>> List.last in
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    Term.subst_atomic_types (Ts0 @ Us0 ~~ Ts @ Us) t
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  end;
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fun mk_rel Ts Us t =
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  let
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    val ((Type (_, Ts0), Type (_, Us0)), body) =
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      strip_type (fastype_of t) |>> split_last |>> apfst List.last;
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val _ = tracing ("*** " ^ PolyML.makestring (Ts, "***", Us, "***", t, Ts0, Us0)) (*###*)
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  in
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    Term.subst_atomic_types (Ts0 @ Us0 ~~ Ts @ Us) t
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  end;
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fun tick u f = Term.lambda u (HOLogic.mk_prod (u, f $ u));
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fun tack z_name (c, u) f =
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  let val z = Free (z_name, mk_sumT (fastype_of u, fastype_of c)) in
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    Term.lambda z (mk_sum_case (Term.lambda u u, Term.lambda c (f $ c)) $ z)
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  end;
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fun cannot_merge_types () = error "Mutually recursive types must have the same type parameters";
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fun merge_type_arg T T' = if T = T' then T else cannot_merge_types ();
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fun merge_type_args (As, As') =
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  if length As = length As' then map2 merge_type_arg As As' else cannot_merge_types ();
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fun is_triv_implies thm =
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  op aconv (Logic.dest_implies (Thm.prop_of thm))
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  handle TERM _ => false;
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fun type_args_constrained_of (((cAs, _), _), _) = cAs;
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fun type_binding_of (((_, b), _), _) = b;
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fun mixfix_of ((_, mx), _) = mx;
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fun ctr_specs_of (_, ctr_specs) = ctr_specs;
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fun disc_of ((((disc, _), _), _), _) = disc;
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fun ctr_of ((((_, ctr), _), _), _) = ctr;
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fun args_of (((_, args), _), _) = args;
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fun defaults_of ((_, ds), _) = ds;
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fun ctr_mixfix_of (_, mx) = mx;
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fun define_datatypes prepare_constraint prepare_typ prepare_term lfp construct (no_dests, specs)
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    no_defs_lthy0 =
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  let
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    (* TODO: sanity checks on arguments *)
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    (* TODO: integration with function package ("size") *)
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    val _ = if not lfp andalso no_dests then error "Cannot define destructor-less codatatypes"
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      else ();
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    val nn = length specs;
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    val fp_bs = map type_binding_of specs;
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    val fp_b_names = map Binding.name_of fp_bs;
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    val fp_common_name = mk_common_name fp_b_names;
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    fun prepare_type_arg (ty, c) =
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      let val TFree (s, _) = prepare_typ no_defs_lthy0 ty in
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        TFree (s, prepare_constraint no_defs_lthy0 c)
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      end;
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    val Ass0 = map (map prepare_type_arg o type_args_constrained_of) specs;
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    val unsorted_Ass0 = map (map (resort_tfree HOLogic.typeS)) Ass0;
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    val unsorted_As = Library.foldr1 merge_type_args unsorted_Ass0;
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    val ((Xs, Cs), no_defs_lthy) =
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      no_defs_lthy0
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      |> fold (Variable.declare_typ o resort_tfree dummyS) unsorted_As
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      |> mk_TFrees nn
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      ||>> mk_TFrees nn;
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    (* TODO: cleaner handling of fake contexts, without "background_theory" *)
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    (*the "perhaps o try" below helps gracefully handles the case where the new type is defined in a
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      locale and shadows an existing global type*)
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    val fake_thy =
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      Theory.copy #> fold (fn spec => perhaps (try (Sign.add_type no_defs_lthy
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        (type_binding_of spec, length (type_args_constrained_of spec), mixfix_of spec)))) specs;
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    val fake_lthy = Proof_Context.background_theory fake_thy no_defs_lthy;
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    fun mk_fake_T b =
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      Type (fst (Term.dest_Type (Proof_Context.read_type_name fake_lthy true (Binding.name_of b))),
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        unsorted_As);
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    val fake_Ts = map mk_fake_T fp_bs;
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    val mixfixes = map mixfix_of specs;
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    val _ = (case duplicates Binding.eq_name fp_bs of [] => ()
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      | b :: _ => error ("Duplicate type name declaration " ^ quote (Binding.name_of b)));
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    val ctr_specss = map ctr_specs_of specs;
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    val disc_bindingss = map (map disc_of) ctr_specss;
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    val ctr_bindingss =
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      map2 (fn fp_b_name => map (Binding.qualify false fp_b_name o ctr_of)) fp_b_names ctr_specss;
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    val ctr_argsss = map (map args_of) ctr_specss;
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    val ctr_mixfixess = map (map ctr_mixfix_of) ctr_specss;
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    val sel_bindingsss = map (map (map fst)) ctr_argsss;
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    val fake_ctr_Tsss0 = map (map (map (prepare_typ fake_lthy o snd))) ctr_argsss;
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    val raw_sel_defaultsss = map (map defaults_of) ctr_specss;
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    val (As :: _) :: fake_ctr_Tsss =
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      burrow (burrow (Syntax.check_typs fake_lthy)) (Ass0 :: fake_ctr_Tsss0);
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    val _ = (case duplicates (op =) unsorted_As of [] => ()
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      | A :: _ => error ("Duplicate type parameter " ^
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          quote (Syntax.string_of_typ no_defs_lthy A)));
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    val rhs_As' = fold (fold (fold Term.add_tfreesT)) fake_ctr_Tsss [];
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    val _ = (case subtract (op =) (map dest_TFree As) rhs_As' of
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        [] => ()
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      | A' :: _ => error ("Extra type variable on right-hand side: " ^
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          quote (Syntax.string_of_typ no_defs_lthy (TFree A'))));
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    fun eq_fpT (T as Type (s, Us)) (Type (s', Us')) =
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        s = s' andalso (Us = Us' orelse error ("Illegal occurrence of recursive type " ^
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          quote (Syntax.string_of_typ fake_lthy T)))
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      | eq_fpT _ _ = false;
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    fun freeze_fp (T as Type (s, Us)) =
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        (case find_index (eq_fpT T) fake_Ts of ~1 => Type (s, map freeze_fp Us) | j => nth Xs j)
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      | freeze_fp T = T;
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    val ctr_TsssXs = map (map (map freeze_fp)) fake_ctr_Tsss;
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    val ctr_sum_prod_TsXs = map (mk_sumTN_balanced o map HOLogic.mk_tupleT) ctr_TsssXs;
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    val fp_eqs =
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      map dest_TFree Xs ~~ map (Term.typ_subst_atomic (As ~~ unsorted_As)) ctr_sum_prod_TsXs;
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    val (pre_bnfs, ((dtors0, ctors0, rels0, fp_folds0, fp_recs0, fp_induct, dtor_ctors, ctor_dtors,
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           ctor_injects, fp_fold_thms, fp_rec_thms), lthy)) =
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      fp_bnf construct fp_bs mixfixes (map dest_TFree unsorted_As) fp_eqs no_defs_lthy0;
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    fun add_nesty_bnf_names Us =
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      let
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        fun add (Type (s, Ts)) ss =
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            let val (needs, ss') = fold_map add Ts ss in
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              if exists I needs then (true, insert (op =) s ss') else (false, ss')
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            end
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          | add T ss = (member (op =) Us T, ss);
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      in snd oo add end;
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    fun nesty_bnfs Us =
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      map_filter (bnf_of lthy) (fold (fold (fold (add_nesty_bnf_names Us))) ctr_TsssXs []);
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    val nesting_bnfs = nesty_bnfs As;
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    val nested_bnfs = nesty_bnfs Xs;
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    val timer = time (Timer.startRealTimer ());
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    val ctors = map (mk_ctor As) ctors0;
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    val dtors = map (mk_dtor As) dtors0;
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    val rels = map (mk_rel As As) rels0; (*FIXME*)
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    val fpTs = map (domain_type o fastype_of) dtors;
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    val exists_fp_subtype = exists_subtype (member (op =) fpTs);
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    val ctr_Tsss = map (map (map (Term.typ_subst_atomic (Xs ~~ fpTs)))) ctr_TsssXs;
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    val ns = map length ctr_Tsss;
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    val kss = map (fn n => 1 upto n) ns;
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    val mss = map (map length) ctr_Tsss;
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    val Css = map2 replicate ns Cs;
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    val fp_folds as fp_fold1 :: _ = map (mk_rec_like lfp As Cs) fp_folds0;
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    val fp_recs as fp_rec1 :: _ = map (mk_rec_like lfp As Cs) fp_recs0;
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    val fp_fold_fun_Ts = fst (split_last (binder_types (fastype_of fp_fold1)));
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    val fp_rec_fun_Ts = fst (split_last (binder_types (fastype_of fp_rec1)));
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    val (((fold_only as (gss, _, _), rec_only as (hss, _, _)),
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          (zs, cs, cpss, unfold_only as ((pgss, crgsss), _), corec_only as ((phss, cshsss), _))),
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         names_lthy) =
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      if lfp then
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        let
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          val y_Tsss =
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            map3 (fn n => fn ms => map2 dest_tupleT ms o dest_sumTN_balanced n o domain_type)
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              ns mss fp_fold_fun_Ts;
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          val g_Tss = map2 (map2 (curry (op --->))) y_Tsss Css;
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          val ((gss, ysss), lthy) =
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            lthy
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            |> mk_Freess "f" g_Tss
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            ||>> mk_Freesss "x" y_Tsss;
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          val yssss = map (map (map single)) ysss;
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          fun dest_rec_prodT (T as Type (@{type_name prod}, Us as [_, U])) =
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              if member (op =) Cs U then Us else [T]
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            | dest_rec_prodT T = [T];
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          val z_Tssss =
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            map3 (fn n => fn ms => map2 (map dest_rec_prodT oo dest_tupleT) ms o
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              dest_sumTN_balanced n o domain_type) ns mss fp_rec_fun_Ts;
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          val h_Tss = map2 (map2 (fold_rev (curry (op --->)))) z_Tssss Css;
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          val hss = map2 (map2 retype_free) h_Tss gss;
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          val zssss_hd = map2 (map2 (map2 (retype_free o hd))) z_Tssss ysss;
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          val (zssss_tl, lthy) =
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            lthy
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            |> mk_Freessss "y" (map (map (map tl)) z_Tssss);
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          val zssss = map2 (map2 (map2 cons)) zssss_hd zssss_tl;
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        in
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          ((((gss, g_Tss, yssss), (hss, h_Tss, zssss)),
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            ([], [], [], (([], []), ([], [])), (([], []), ([], [])))), lthy)
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        end
49208
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      else
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        let
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          (*avoid "'a itself" arguments in coiterators and corecursors*)
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          val mss' =  map (fn [0] => [1] | ms => ms) mss;
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          val p_Tss = map2 (fn n => replicate (Int.max (0, n - 1)) o mk_pred1T) ns Cs;
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          fun zip_predss_getterss qss fss = maps (op @) (qss ~~ fss);
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          fun zip_preds_predsss_gettersss [] [qss] [fss] = zip_predss_getterss qss fss
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            | zip_preds_predsss_gettersss (p :: ps) (qss :: qsss) (fss :: fsss) =
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              p :: zip_predss_getterss qss fss @ zip_preds_predsss_gettersss ps qsss fsss;
49274
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          fun mk_types maybe_dest_sumT fun_Ts =
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            let
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              val f_sum_prod_Ts = map range_type fun_Ts;
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              val f_prod_Tss = map2 dest_sumTN_balanced ns f_sum_prod_Ts;
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              val f_Tssss =
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                map3 (fn C => map2 (map (map (curry (op -->) C) o maybe_dest_sumT) oo dest_tupleT))
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                  Cs mss' f_prod_Tss;
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              val q_Tssss =
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                map (map (map (fn [_] => [] | [_, C] => [mk_pred1T (domain_type C)]))) f_Tssss;
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              val pf_Tss = map3 zip_preds_predsss_gettersss p_Tss q_Tssss f_Tssss;
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            in (q_Tssss, f_sum_prod_Ts, f_Tssss, pf_Tss) end;
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   305
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          val (r_Tssss, g_sum_prod_Ts, g_Tssss, pg_Tss) = mk_types single fp_fold_fun_Ts;
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   307
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   308
          val ((((Free (z, _), cs), pss), gssss), lthy) =
49210
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            lthy
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            |> yield_singleton (mk_Frees "z") dummyT
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            ||>> mk_Frees "a" Cs
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   312
            ||>> mk_Freess "p" p_Tss
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            ||>> mk_Freessss "g" g_Tssss;
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          val rssss = map (map (map (fn [] => []))) r_Tssss;
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   315
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   316
          fun dest_corec_sumT (T as Type (@{type_name sum}, Us as [_, U])) =
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   317
              if member (op =) Cs U then Us else [T]
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   318
            | dest_corec_sumT T = [T];
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   319
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   320
          val (s_Tssss, h_sum_prod_Ts, h_Tssss, ph_Tss) = mk_types dest_corec_sumT fp_rec_fun_Ts;
49210
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   321
49298
36e551d3af3b support for sort constraints in new (co)data commands
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   322
          val hssss_hd = map2 (map2 (map2 (fn T :: _ => fn [g] => retype_free T g))) h_Tssss gssss;
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   323
          val ((sssss, hssss_tl), lthy) =
49275
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   324
            lthy
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   325
            |> mk_Freessss "q" s_Tssss
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   326
            ||>> mk_Freessss "h" (map (map (map tl)) h_Tssss);
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   327
          val hssss = map2 (map2 (map2 cons)) hssss_hd hssss_tl;
49211
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diff changeset
   328
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   329
          val cpss = map2 (fn c => map (fn p => p $ c)) cs pss;
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diff changeset
   330
49276
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diff changeset
   331
          fun mk_preds_getters_join [] [cf] = cf
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   332
            | mk_preds_getters_join [cq] [cf, cf'] =
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diff changeset
   333
              mk_If cq (mk_Inl (fastype_of cf') cf) (mk_Inr (fastype_of cf) cf');
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diff changeset
   334
49275
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diff changeset
   335
          fun mk_terms qssss fssss =
49212
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   336
            let
49276
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diff changeset
   337
              val pfss = map3 zip_preds_predsss_gettersss pss qssss fssss;
49275
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   338
              val cqssss = map2 (fn c => map (map (map (fn f => f $ c)))) cs qssss;
49274
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   339
              val cfssss = map2 (fn c => map (map (map (fn f => f $ c)))) cs fssss;
49276
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   340
              val cqfsss = map2 (map2 (map2 mk_preds_getters_join)) cqssss cfssss;
59fa53ed7507 finished splitting sum types for corecursors
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   341
            in (pfss, cqfsss) end;
49210
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   342
        in
49484
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diff changeset
   343
          (((([], [], []), ([], [], [])),
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   344
            ([z], cs, cpss, (mk_terms rssss gssss, (g_sum_prod_Ts, pg_Tss)),
0194a18f80cf finished "disc_coiter_iff" etc. generation
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   345
             (mk_terms sssss hssss, (h_sum_prod_Ts, ph_Tss)))), lthy)
49210
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   346
        end;
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   347
49504
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   348
    fun define_ctrs_case_for_type ((((((((((((((((((fp_b, fpT), C), ctor), dtor), fp_fold), fp_rec),
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   349
          ctor_dtor), dtor_ctor), ctor_inject), n), ks), ms), ctr_bindings), ctr_mixfixes), ctr_Tss),
49370
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   350
        disc_bindings), sel_bindingss), raw_sel_defaultss) no_defs_lthy =
49176
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   351
      let
49498
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   352
        val fp_b_name = Binding.name_of fp_b;
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diff changeset
   353
49501
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diff changeset
   354
        val dtorT = domain_type (fastype_of ctor);
49210
656fb50d33f0 define coiterators
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   355
        val ctr_prod_Ts = map HOLogic.mk_tupleT ctr_Tss;
49255
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   356
        val ctr_sum_prod_T = mk_sumTN_balanced ctr_prod_Ts;
49134
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   357
        val case_Ts = map (fn Ts => Ts ---> C) ctr_Tss;
49119
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diff changeset
   358
49536
898aea2e7a94 started work on generation of "rel" theorems
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diff changeset
   359
        val (((((w, fs), xss), yss), u'), _) =
49204
0b735fb2602e generate iter/rec goals
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diff changeset
   360
          no_defs_lthy
49501
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   361
          |> yield_singleton (mk_Frees "w") dtorT
49176
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   362
          ||>> mk_Frees "f" case_Ts
49370
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   363
          ||>> mk_Freess "x" ctr_Tss
49536
898aea2e7a94 started work on generation of "rel" theorems
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   364
          ||>> mk_Freess "y" ctr_Tss
49498
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diff changeset
   365
          ||>> yield_singleton Variable.variant_fixes fp_b_name;
49370
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   366
49498
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   367
        val u = Free (u', fpT);
49121
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diff changeset
   368
49129
b5413cb7d860 define "case" constant
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   369
        val ctr_rhss =
49501
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   370
          map2 (fn k => fn xs => fold_rev Term.lambda xs (ctor $
49256
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   371
            mk_InN_balanced ctr_sum_prod_T n (HOLogic.mk_tuple xs) k)) ks xss;
49121
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diff changeset
   372
49336
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   373
        val case_binding = Binding.suffix_name ("_" ^ caseN) fp_b;
49129
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diff changeset
   374
49134
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diff changeset
   375
        val case_rhs =
49498
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   376
          fold_rev Term.lambda (fs @ [u])
49501
acc9635a644a renamed "fld"/"unf" to "ctor"/"dtor"
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diff changeset
   377
            (mk_sum_caseN_balanced (map2 mk_uncurried_fun fs xss) $ (dtor $ u));
49129
b5413cb7d860 define "case" constant
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diff changeset
   378
49201
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diff changeset
   379
        val ((raw_case :: raw_ctrs, raw_case_def :: raw_ctr_defs), (lthy', lthy)) = no_defs_lthy
49169
937a0fadddfb honor mixfix specifications
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diff changeset
   380
          |> apfst split_list o fold_map3 (fn b => fn mx => fn rhs =>
49302
f5bd87aac224 added optional qualifiers for constructors and destructors, similarly to the old package
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diff changeset
   381
              Local_Theory.define ((b, mx), ((Thm.def_binding b, []), rhs)) #>> apsnd snd)
49336
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diff changeset
   382
            (case_binding :: ctr_bindings) (NoSyn :: ctr_mixfixes) (case_rhs :: ctr_rhss)
49121
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   383
          ||> `Local_Theory.restore;
9e0acaa470ab more work on FP sugar
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diff changeset
   384
9e0acaa470ab more work on FP sugar
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diff changeset
   385
        val phi = Proof_Context.export_morphism lthy lthy';
9e0acaa470ab more work on FP sugar
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diff changeset
   386
9e0acaa470ab more work on FP sugar
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diff changeset
   387
        val ctr_defs = map (Morphism.thm phi) raw_ctr_defs;
49130
3c26e17b2849 implemented "mk_case_tac" -- and got rid of "cheat_tac"
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diff changeset
   388
        val case_def = Morphism.thm phi raw_case_def;
3c26e17b2849 implemented "mk_case_tac" -- and got rid of "cheat_tac"
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diff changeset
   389
49203
262ab1ac38b9 repaired constant types
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diff changeset
   390
        val ctrs0 = map (Morphism.term phi) raw_ctrs;
262ab1ac38b9 repaired constant types
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parents: 49202
diff changeset
   391
        val casex0 = Morphism.term phi raw_case;
262ab1ac38b9 repaired constant types
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parents: 49202
diff changeset
   392
262ab1ac38b9 repaired constant types
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parents: 49202
diff changeset
   393
        val ctrs = map (mk_ctr As) ctrs0;
49121
9e0acaa470ab more work on FP sugar
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parents: 49119
diff changeset
   394
49135
de13b454fa31 fixed some type issues in sugar "exhaust_tac"
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parents: 49134
diff changeset
   395
        fun exhaust_tac {context = ctxt, ...} =
49123
263b0e330d8b more work on sugar + simplify Trueprop + eq idiom everywhere
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parents: 49121
diff changeset
   396
          let
49501
acc9635a644a renamed "fld"/"unf" to "ctor"/"dtor"
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parents: 49498
diff changeset
   397
            val ctor_iff_dtor_thm =
49135
de13b454fa31 fixed some type issues in sugar "exhaust_tac"
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parents: 49134
diff changeset
   398
              let
de13b454fa31 fixed some type issues in sugar "exhaust_tac"
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parents: 49134
diff changeset
   399
                val goal =
49498
acc583e14167 tuned variable names
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parents: 49484
diff changeset
   400
                  fold_rev Logic.all [w, u]
49501
acc9635a644a renamed "fld"/"unf" to "ctor"/"dtor"
blanchet
parents: 49498
diff changeset
   401
                    (mk_Trueprop_eq (HOLogic.mk_eq (u, ctor $ w), HOLogic.mk_eq (dtor $ u, w)));
49135
de13b454fa31 fixed some type issues in sugar "exhaust_tac"
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parents: 49134
diff changeset
   402
              in
de13b454fa31 fixed some type issues in sugar "exhaust_tac"
blanchet
parents: 49134
diff changeset
   403
                Skip_Proof.prove lthy [] [] goal (fn {context = ctxt, ...} =>
49501
acc9635a644a renamed "fld"/"unf" to "ctor"/"dtor"
blanchet
parents: 49498
diff changeset
   404
                  mk_ctor_iff_dtor_tac ctxt (map (SOME o certifyT lthy) [dtorT, fpT])
acc9635a644a renamed "fld"/"unf" to "ctor"/"dtor"
blanchet
parents: 49498
diff changeset
   405
                    (certify lthy ctor) (certify lthy dtor) ctor_dtor dtor_ctor)
49135
de13b454fa31 fixed some type issues in sugar "exhaust_tac"
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diff changeset
   406
                |> Thm.close_derivation
de13b454fa31 fixed some type issues in sugar "exhaust_tac"
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diff changeset
   407
                |> Morphism.thm phi
de13b454fa31 fixed some type issues in sugar "exhaust_tac"
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diff changeset
   408
              end;
de13b454fa31 fixed some type issues in sugar "exhaust_tac"
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parents: 49134
diff changeset
   409
de13b454fa31 fixed some type issues in sugar "exhaust_tac"
blanchet
parents: 49134
diff changeset
   410
            val sumEN_thm' =
49504
df9b897fb254 renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents: 49502
diff changeset
   411
              unfold_thms lthy @{thms all_unit_eq}
49255
2ecc533d6697 use balanced sums for constructors (to gracefully handle 100 constructors or more)
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parents: 49254
diff changeset
   412
                (Drule.instantiate' (map (SOME o certifyT lthy) ctr_prod_Ts) []
2ecc533d6697 use balanced sums for constructors (to gracefully handle 100 constructors or more)
blanchet
parents: 49254
diff changeset
   413
                   (mk_sumEN_balanced n))
49135
de13b454fa31 fixed some type issues in sugar "exhaust_tac"
blanchet
parents: 49134
diff changeset
   414
              |> Morphism.thm phi;
49123
263b0e330d8b more work on sugar + simplify Trueprop + eq idiom everywhere
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parents: 49121
diff changeset
   415
          in
49501
acc9635a644a renamed "fld"/"unf" to "ctor"/"dtor"
blanchet
parents: 49498
diff changeset
   416
            mk_exhaust_tac ctxt n ctr_defs ctor_iff_dtor_thm sumEN_thm'
49123
263b0e330d8b more work on sugar + simplify Trueprop + eq idiom everywhere
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parents: 49121
diff changeset
   417
          end;
49121
9e0acaa470ab more work on FP sugar
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parents: 49119
diff changeset
   418
49126
1bbd7a37fc29 implemented "mk_inject_tac"
blanchet
parents: 49125
diff changeset
   419
        val inject_tacss =
49205
674f04c737e0 implemented "mk_iter_or_rec_tac"
blanchet
parents: 49204
diff changeset
   420
          map2 (fn 0 => K [] | _ => fn ctr_def => [fn {context = ctxt, ...} =>
49501
acc9635a644a renamed "fld"/"unf" to "ctor"/"dtor"
blanchet
parents: 49498
diff changeset
   421
              mk_inject_tac ctxt ctr_def ctor_inject]) ms ctr_defs;
49126
1bbd7a37fc29 implemented "mk_inject_tac"
blanchet
parents: 49125
diff changeset
   422
49127
f7326a0d7f19 implemented "mk_half_distinct_tac"
blanchet
parents: 49126
diff changeset
   423
        val half_distinct_tacss =
f7326a0d7f19 implemented "mk_half_distinct_tac"
blanchet
parents: 49126
diff changeset
   424
          map (map (fn (def, def') => fn {context = ctxt, ...} =>
49501
acc9635a644a renamed "fld"/"unf" to "ctor"/"dtor"
blanchet
parents: 49498
diff changeset
   425
            mk_half_distinct_tac ctxt ctor_inject [def, def'])) (mk_half_pairss ctr_defs);
49127
f7326a0d7f19 implemented "mk_half_distinct_tac"
blanchet
parents: 49126
diff changeset
   426
49130
3c26e17b2849 implemented "mk_case_tac" -- and got rid of "cheat_tac"
blanchet
parents: 49129
diff changeset
   427
        val case_tacs =
3c26e17b2849 implemented "mk_case_tac" -- and got rid of "cheat_tac"
blanchet
parents: 49129
diff changeset
   428
          map3 (fn k => fn m => fn ctr_def => fn {context = ctxt, ...} =>
49501
acc9635a644a renamed "fld"/"unf" to "ctor"/"dtor"
blanchet
parents: 49498
diff changeset
   429
            mk_case_tac ctxt n k m case_def ctr_def dtor_ctor) ks ms ctr_defs;
49121
9e0acaa470ab more work on FP sugar
blanchet
parents: 49119
diff changeset
   430
9e0acaa470ab more work on FP sugar
blanchet
parents: 49119
diff changeset
   431
        val tacss = [exhaust_tac] :: inject_tacss @ half_distinct_tacss @ [case_tacs];
49134
846264f80f16 optionally provide extra dead variables to the FP constructions
blanchet
parents: 49130
diff changeset
   432
49504
df9b897fb254 renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents: 49502
diff changeset
   433
        fun define_fold_rec (wrap_res, no_defs_lthy) =
49134
846264f80f16 optionally provide extra dead variables to the FP constructions
blanchet
parents: 49130
diff changeset
   434
          let
49208
blanchet
parents: 49207
diff changeset
   435
            val fpT_to_C = fpT --> C;
49199
7c9a3c67c55d added high-level recursor, not yet curried
blanchet
parents: 49184
diff changeset
   436
49504
df9b897fb254 renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents: 49502
diff changeset
   437
            fun generate_rec_like (suf, fp_rec_like, (fss, f_Tss, xssss)) =
49215
blanchet
parents: 49214
diff changeset
   438
              let
blanchet
parents: 49214
diff changeset
   439
                val res_T = fold_rev (curry (op --->)) f_Tss fpT_to_C;
49336
blanchet
parents: 49330
diff changeset
   440
                val binding = Binding.suffix_name ("_" ^ suf) fp_b;
49215
blanchet
parents: 49214
diff changeset
   441
                val spec =
49336
blanchet
parents: 49330
diff changeset
   442
                  mk_Trueprop_eq (lists_bmoc fss (Free (Binding.name_of binding, res_T)),
49504
df9b897fb254 renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents: 49502
diff changeset
   443
                    Term.list_comb (fp_rec_like,
49255
2ecc533d6697 use balanced sums for constructors (to gracefully handle 100 constructors or more)
blanchet
parents: 49254
diff changeset
   444
                      map2 (mk_sum_caseN_balanced oo map2 mk_uncurried2_fun) fss xssss));
49336
blanchet
parents: 49330
diff changeset
   445
              in (binding, spec) end;
49199
7c9a3c67c55d added high-level recursor, not yet curried
blanchet
parents: 49184
diff changeset
   446
49504
df9b897fb254 renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents: 49502
diff changeset
   447
            val rec_like_infos =
df9b897fb254 renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents: 49502
diff changeset
   448
              [(foldN, fp_fold, fold_only),
49215
blanchet
parents: 49214
diff changeset
   449
               (recN, fp_rec, rec_only)];
blanchet
parents: 49214
diff changeset
   450
49504
df9b897fb254 renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents: 49502
diff changeset
   451
            val (bindings, specs) = map generate_rec_like rec_like_infos |> split_list;
49215
blanchet
parents: 49214
diff changeset
   452
blanchet
parents: 49214
diff changeset
   453
            val ((csts, defs), (lthy', lthy)) = no_defs_lthy
49201
blanchet
parents: 49200
diff changeset
   454
              |> apfst split_list o fold_map2 (fn b => fn spec =>
49199
7c9a3c67c55d added high-level recursor, not yet curried
blanchet
parents: 49184
diff changeset
   455
                Specification.definition (SOME (b, NONE, NoSyn), ((Thm.def_binding b, []), spec))
49336
blanchet
parents: 49330
diff changeset
   456
                #>> apsnd snd) bindings specs
49199
7c9a3c67c55d added high-level recursor, not yet curried
blanchet
parents: 49184
diff changeset
   457
              ||> `Local_Theory.restore;
49201
blanchet
parents: 49200
diff changeset
   458
blanchet
parents: 49200
diff changeset
   459
            val phi = Proof_Context.export_morphism lthy lthy';
blanchet
parents: 49200
diff changeset
   460
49504
df9b897fb254 renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents: 49502
diff changeset
   461
            val [fold_def, rec_def] = map (Morphism.thm phi) defs;
49201
blanchet
parents: 49200
diff changeset
   462
49536
898aea2e7a94 started work on generation of "rel" theorems
blanchet
parents: 49518
diff changeset
   463
            val [foldx, recx] = map (mk_rec_like lfp As Cs o Morphism.term phi) csts;
49134
846264f80f16 optionally provide extra dead variables to the FP constructions
blanchet
parents: 49130
diff changeset
   464
          in
49536
898aea2e7a94 started work on generation of "rel" theorems
blanchet
parents: 49518
diff changeset
   465
            ((wrap_res, ctrs, foldx, recx, xss, yss, ctr_defs, fold_def, rec_def), lthy)
49134
846264f80f16 optionally provide extra dead variables to the FP constructions
blanchet
parents: 49130
diff changeset
   466
          end;
846264f80f16 optionally provide extra dead variables to the FP constructions
blanchet
parents: 49130
diff changeset
   467
49504
df9b897fb254 renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents: 49502
diff changeset
   468
        fun define_unfold_corec (wrap_res, no_defs_lthy) =
49210
656fb50d33f0 define coiterators
blanchet
parents: 49209
diff changeset
   469
          let
656fb50d33f0 define coiterators
blanchet
parents: 49209
diff changeset
   470
            val B_to_fpT = C --> fpT;
49211
239a4fa29ddf define corecursors
blanchet
parents: 49210
diff changeset
   471
49276
59fa53ed7507 finished splitting sum types for corecursors
blanchet
parents: 49275
diff changeset
   472
            fun mk_preds_getterss_join c n cps sum_prod_T cqfss =
59fa53ed7507 finished splitting sum types for corecursors
blanchet
parents: 49275
diff changeset
   473
              Term.lambda c (mk_IfN sum_prod_T cps
59fa53ed7507 finished splitting sum types for corecursors
blanchet
parents: 49275
diff changeset
   474
                (map2 (mk_InN_balanced sum_prod_T n) (map HOLogic.mk_tuple cqfss) (1 upto n)));
49275
ce87d6a901eb split sum types in corecursor definition
blanchet
parents: 49274
diff changeset
   475
49504
df9b897fb254 renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents: 49502
diff changeset
   476
            fun generate_corec_like (suf, fp_rec_like, ((pfss, cqfsss), (f_sum_prod_Ts,
49274
ddd606ec45b9 first step towards splitting corecursor function arguments into (p, g, h) triples
blanchet
parents: 49273
diff changeset
   477
                pf_Tss))) =
49211
239a4fa29ddf define corecursors
blanchet
parents: 49210
diff changeset
   478
              let
239a4fa29ddf define corecursors
blanchet
parents: 49210
diff changeset
   479
                val res_T = fold_rev (curry (op --->)) pf_Tss B_to_fpT;
49336
blanchet
parents: 49330
diff changeset
   480
                val binding = Binding.suffix_name ("_" ^ suf) fp_b;
49211
239a4fa29ddf define corecursors
blanchet
parents: 49210
diff changeset
   481
                val spec =
49336
blanchet
parents: 49330
diff changeset
   482
                  mk_Trueprop_eq (lists_bmoc pfss (Free (Binding.name_of binding, res_T)),
49504
df9b897fb254 renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents: 49502
diff changeset
   483
                    Term.list_comb (fp_rec_like,
49276
59fa53ed7507 finished splitting sum types for corecursors
blanchet
parents: 49275
diff changeset
   484
                      map5 mk_preds_getterss_join cs ns cpss f_sum_prod_Ts cqfsss));
49336
blanchet
parents: 49330
diff changeset
   485
              in (binding, spec) end;
49210
656fb50d33f0 define coiterators
blanchet
parents: 49209
diff changeset
   486
49504
df9b897fb254 renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents: 49502
diff changeset
   487
            val corec_like_infos =
df9b897fb254 renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents: 49502
diff changeset
   488
              [(unfoldN, fp_fold, unfold_only),
49215
blanchet
parents: 49214
diff changeset
   489
               (corecN, fp_rec, corec_only)];
49212
ca59649170b0 more sugar on codatatypes
blanchet
parents: 49211
diff changeset
   490
49504
df9b897fb254 renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents: 49502
diff changeset
   491
            val (bindings, specs) = map generate_corec_like corec_like_infos |> split_list;
49211
239a4fa29ddf define corecursors
blanchet
parents: 49210
diff changeset
   492
239a4fa29ddf define corecursors
blanchet
parents: 49210
diff changeset
   493
            val ((csts, defs), (lthy', lthy)) = no_defs_lthy
49210
656fb50d33f0 define coiterators
blanchet
parents: 49209
diff changeset
   494
              |> apfst split_list o fold_map2 (fn b => fn spec =>
656fb50d33f0 define coiterators
blanchet
parents: 49209
diff changeset
   495
                Specification.definition (SOME (b, NONE, NoSyn), ((Thm.def_binding b, []), spec))
49336
blanchet
parents: 49330
diff changeset
   496
                #>> apsnd snd) bindings specs
49210
656fb50d33f0 define coiterators
blanchet
parents: 49209
diff changeset
   497
              ||> `Local_Theory.restore;
656fb50d33f0 define coiterators
blanchet
parents: 49209
diff changeset
   498
656fb50d33f0 define coiterators
blanchet
parents: 49209
diff changeset
   499
            val phi = Proof_Context.export_morphism lthy lthy';
656fb50d33f0 define coiterators
blanchet
parents: 49209
diff changeset
   500
49504
df9b897fb254 renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents: 49502
diff changeset
   501
            val [unfold_def, corec_def] = map (Morphism.thm phi) defs;
49210
656fb50d33f0 define coiterators
blanchet
parents: 49209
diff changeset
   502
49536
898aea2e7a94 started work on generation of "rel" theorems
blanchet
parents: 49518
diff changeset
   503
            val [unfold, corec] = map (mk_rec_like lfp As Cs o Morphism.term phi) csts;
49210
656fb50d33f0 define coiterators
blanchet
parents: 49209
diff changeset
   504
          in
49536
898aea2e7a94 started work on generation of "rel" theorems
blanchet
parents: 49518
diff changeset
   505
            ((wrap_res, ctrs, unfold, corec, xss, yss, ctr_defs, unfold_def, corec_def), lthy)
49210
656fb50d33f0 define coiterators
blanchet
parents: 49209
diff changeset
   506
          end;
49286
dde4967c9233 added "defaults" option
blanchet
parents: 49280
diff changeset
   507
49287
ebe2a5cec4bf allow defaults for one datatype to involve the constructor of another one in the mutually recursive case
blanchet
parents: 49286
diff changeset
   508
        fun wrap lthy =
ebe2a5cec4bf allow defaults for one datatype to involve the constructor of another one in the mutually recursive case
blanchet
parents: 49286
diff changeset
   509
          let val sel_defaultss = map (map (apsnd (prepare_term lthy))) raw_sel_defaultss in
49336
blanchet
parents: 49330
diff changeset
   510
            wrap_datatype tacss (((no_dests, ctrs0), casex0), (disc_bindings, (sel_bindingss,
49287
ebe2a5cec4bf allow defaults for one datatype to involve the constructor of another one in the mutually recursive case
blanchet
parents: 49286
diff changeset
   511
              sel_defaultss))) lthy
ebe2a5cec4bf allow defaults for one datatype to involve the constructor of another one in the mutually recursive case
blanchet
parents: 49286
diff changeset
   512
          end;
ebe2a5cec4bf allow defaults for one datatype to involve the constructor of another one in the mutually recursive case
blanchet
parents: 49286
diff changeset
   513
49504
df9b897fb254 renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents: 49502
diff changeset
   514
        val define_rec_likes = if lfp then define_fold_rec else define_unfold_corec;
49119
1f605c36869c more work on FP sugar
blanchet
parents: 49112
diff changeset
   515
      in
49504
df9b897fb254 renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents: 49502
diff changeset
   516
        ((wrap, define_rec_likes), lthy')
49119
1f605c36869c more work on FP sugar
blanchet
parents: 49112
diff changeset
   517
      end;
49167
68623861e0f2 print timing information
blanchet
parents: 49165
diff changeset
   518
49518
b377da40244b renamed LFP low-level rel property to have ctor not dtor in its name
blanchet
parents: 49510
diff changeset
   519
    fun wrap_types_and_define_rec_likes ((wraps, define_rec_likess), lthy) =
49536
898aea2e7a94 started work on generation of "rel" theorems
blanchet
parents: 49518
diff changeset
   520
      fold_map2 (curry (op o)) define_rec_likess wraps lthy |>> split_list9
49518
b377da40244b renamed LFP low-level rel property to have ctor not dtor in its name
blanchet
parents: 49510
diff changeset
   521
49226
510c6d4a73ec fixed and enabled iterator/recursor theorems
blanchet
parents: 49224
diff changeset
   522
    val pre_map_defs = map map_def_of_bnf pre_bnfs;
49342
8ea4bad49ed5 rough and ready induction
blanchet
parents: 49338
diff changeset
   523
    val pre_set_defss = map set_defs_of_bnf pre_bnfs;
49368
df359ce891ac added induct tactic
blanchet
parents: 49367
diff changeset
   524
    val nested_set_natural's = maps set_natural'_of_bnf nested_bnfs;
49363
8fc53d925629 distinguish between nested and nesting BNFs
blanchet
parents: 49362
diff changeset
   525
    val nesting_map_ids = map map_id_of_bnf nesting_bnfs;
49226
510c6d4a73ec fixed and enabled iterator/recursor theorems
blanchet
parents: 49224
diff changeset
   526
49437
c139da00fb4a register induct attributes
blanchet
parents: 49434
diff changeset
   527
    fun build_map build_arg (Type (s, Ts)) (Type (_, Us)) =
49234
blanchet
parents: 49233
diff changeset
   528
      let
49392
e1f325ab9503 tuned code to avoid special case for "fun"
blanchet
parents: 49389
diff changeset
   529
        val bnf = the (bnf_of lthy s);
49393
blanchet
parents: 49392
diff changeset
   530
        val live = live_of_bnf bnf;
blanchet
parents: 49392
diff changeset
   531
        val mapx = mk_map live Ts Us (map_of_bnf bnf);
blanchet
parents: 49392
diff changeset
   532
        val TUs = map dest_funT (fst (strip_typeN live (fastype_of mapx)));
49234
blanchet
parents: 49233
diff changeset
   533
        val args = map build_arg TUs;
blanchet
parents: 49233
diff changeset
   534
      in Term.list_comb (mapx, args) end;
blanchet
parents: 49233
diff changeset
   535
49479
504f0a38f608 added "simp"s to coiter/corec theorems + export under "simps" name
blanchet
parents: 49478
diff changeset
   536
    val mk_simp_thmss =
49505
a944eefb67e6 fixed bug introduced by fold/unfold renaming
blanchet
parents: 49504
diff changeset
   537
      map3 (fn (_, _, injects, distincts, cases, _, _, _) => fn rec_likes => fn fold_likes =>
a944eefb67e6 fixed bug introduced by fold/unfold renaming
blanchet
parents: 49504
diff changeset
   538
        injects @ distincts @ cases @ rec_likes @ fold_likes);
49479
504f0a38f608 added "simp"s to coiter/corec theorems + export under "simps" name
blanchet
parents: 49478
diff changeset
   539
49536
898aea2e7a94 started work on generation of "rel" theorems
blanchet
parents: 49518
diff changeset
   540
    fun derive_induct_fold_rec_thms_for_types ((wrap_ress, ctrss, folds, recs, xsss, _, ctr_defss,
49504
df9b897fb254 renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents: 49502
diff changeset
   541
        fold_defs, rec_defs), lthy) =
49202
f493cd25737f some work towards iterator and recursor properties
blanchet
parents: 49201
diff changeset
   542
      let
49498
acc583e14167 tuned variable names
blanchet
parents: 49484
diff changeset
   543
        val (((phis, phis'), us'), names_lthy) =
49370
be6e749fd003 fixed variable exporting problem
blanchet
parents: 49368
diff changeset
   544
          lthy
49463
83ac281bcdc2 provide predicator, define relator
blanchet
parents: 49458
diff changeset
   545
          |> mk_Frees' "P" (map mk_pred1T fpTs)
49498
acc583e14167 tuned variable names
blanchet
parents: 49484
diff changeset
   546
          ||>> Variable.variant_fixes fp_b_names;
49370
be6e749fd003 fixed variable exporting problem
blanchet
parents: 49368
diff changeset
   547
49498
acc583e14167 tuned variable names
blanchet
parents: 49484
diff changeset
   548
        val us = map2 (curry Free) us' fpTs;
49370
be6e749fd003 fixed variable exporting problem
blanchet
parents: 49368
diff changeset
   549
49362
1271aca16aed make tactic more robust in the case where "asm_simp_tac" already finishes the job
blanchet
parents: 49361
diff changeset
   550
        fun mk_sets_nested bnf =
1271aca16aed make tactic more robust in the case where "asm_simp_tac" already finishes the job
blanchet
parents: 49361
diff changeset
   551
          let
1271aca16aed make tactic more robust in the case where "asm_simp_tac" already finishes the job
blanchet
parents: 49361
diff changeset
   552
            val Type (T_name, Us) = T_of_bnf bnf;
1271aca16aed make tactic more robust in the case where "asm_simp_tac" already finishes the job
blanchet
parents: 49361
diff changeset
   553
            val lives = lives_of_bnf bnf;
1271aca16aed make tactic more robust in the case where "asm_simp_tac" already finishes the job
blanchet
parents: 49361
diff changeset
   554
            val sets = sets_of_bnf bnf;
1271aca16aed make tactic more robust in the case where "asm_simp_tac" already finishes the job
blanchet
parents: 49361
diff changeset
   555
            fun mk_set U =
1271aca16aed make tactic more robust in the case where "asm_simp_tac" already finishes the job
blanchet
parents: 49361
diff changeset
   556
              (case find_index (curry (op =) U) lives of
1271aca16aed make tactic more robust in the case where "asm_simp_tac" already finishes the job
blanchet
parents: 49361
diff changeset
   557
                ~1 => Term.dummy
1271aca16aed make tactic more robust in the case where "asm_simp_tac" already finishes the job
blanchet
parents: 49361
diff changeset
   558
              | i => nth sets i);
1271aca16aed make tactic more robust in the case where "asm_simp_tac" already finishes the job
blanchet
parents: 49361
diff changeset
   559
          in
1271aca16aed make tactic more robust in the case where "asm_simp_tac" already finishes the job
blanchet
parents: 49361
diff changeset
   560
            (T_name, map mk_set Us)
1271aca16aed make tactic more robust in the case where "asm_simp_tac" already finishes the job
blanchet
parents: 49361
diff changeset
   561
          end;
1271aca16aed make tactic more robust in the case where "asm_simp_tac" already finishes the job
blanchet
parents: 49361
diff changeset
   562
1271aca16aed make tactic more robust in the case where "asm_simp_tac" already finishes the job
blanchet
parents: 49361
diff changeset
   563
        val setss_nested = map mk_sets_nested nested_bnfs;
1271aca16aed make tactic more robust in the case where "asm_simp_tac" already finishes the job
blanchet
parents: 49361
diff changeset
   564
49337
538687a77075 set up things for (co)induction sugar
blanchet
parents: 49336
diff changeset
   565
        val (induct_thms, induct_thm) =
538687a77075 set up things for (co)induction sugar
blanchet
parents: 49336
diff changeset
   566
          let
49362
1271aca16aed make tactic more robust in the case where "asm_simp_tac" already finishes the job
blanchet
parents: 49361
diff changeset
   567
            fun mk_set Ts t =
1271aca16aed make tactic more robust in the case where "asm_simp_tac" already finishes the job
blanchet
parents: 49361
diff changeset
   568
              let val Type (_, Ts0) = domain_type (fastype_of t) in
1271aca16aed make tactic more robust in the case where "asm_simp_tac" already finishes the job
blanchet
parents: 49361
diff changeset
   569
                Term.subst_atomic_types (Ts0 ~~ Ts) t
1271aca16aed make tactic more robust in the case where "asm_simp_tac" already finishes the job
blanchet
parents: 49361
diff changeset
   570
              end;
1271aca16aed make tactic more robust in the case where "asm_simp_tac" already finishes the job
blanchet
parents: 49361
diff changeset
   571
49375
993677c1cf2a tuned code before fixing "mk_induct_discharge_prem_prems_tac"
blanchet
parents: 49372
diff changeset
   572
            fun mk_raw_prem_prems names_lthy (x as Free (s, T as Type (T_name, Ts0))) =
49361
cc1d39529dd1 derive induction via backward proof, to ensure that the premises are in the right order for constructors like "X x y x" where x and y are mutually recursive
blanchet
parents: 49342
diff changeset
   573
                (case find_index (curry (op =) T) fpTs of
49362
1271aca16aed make tactic more robust in the case where "asm_simp_tac" already finishes the job
blanchet
parents: 49361
diff changeset
   574
                  ~1 =>
1271aca16aed make tactic more robust in the case where "asm_simp_tac" already finishes the job
blanchet
parents: 49361
diff changeset
   575
                  (case AList.lookup (op =) setss_nested T_name of
1271aca16aed make tactic more robust in the case where "asm_simp_tac" already finishes the job
blanchet
parents: 49361
diff changeset
   576
                    NONE => []
1271aca16aed make tactic more robust in the case where "asm_simp_tac" already finishes the job
blanchet
parents: 49361
diff changeset
   577
                  | SOME raw_sets0 =>
1271aca16aed make tactic more robust in the case where "asm_simp_tac" already finishes the job
blanchet
parents: 49361
diff changeset
   578
                    let
1271aca16aed make tactic more robust in the case where "asm_simp_tac" already finishes the job
blanchet
parents: 49361
diff changeset
   579
                      val (Ts, raw_sets) =
1271aca16aed make tactic more robust in the case where "asm_simp_tac" already finishes the job
blanchet
parents: 49361
diff changeset
   580
                        split_list (filter (exists_fp_subtype o fst) (Ts0 ~~ raw_sets0));
1271aca16aed make tactic more robust in the case where "asm_simp_tac" already finishes the job
blanchet
parents: 49361
diff changeset
   581
                      val sets = map (mk_set Ts0) raw_sets;
1271aca16aed make tactic more robust in the case where "asm_simp_tac" already finishes the job
blanchet
parents: 49361
diff changeset
   582
                      val (ys, names_lthy') = names_lthy |> mk_Frees s Ts;
49375
993677c1cf2a tuned code before fixing "mk_induct_discharge_prem_prems_tac"
blanchet
parents: 49372
diff changeset
   583
                      val xysets = map (pair x) (ys ~~ sets);
993677c1cf2a tuned code before fixing "mk_induct_discharge_prem_prems_tac"
blanchet
parents: 49372
diff changeset
   584
                      val ppremss = map (mk_raw_prem_prems names_lthy') ys;
49362
1271aca16aed make tactic more robust in the case where "asm_simp_tac" already finishes the job
blanchet
parents: 49361
diff changeset
   585
                    in
49375
993677c1cf2a tuned code before fixing "mk_induct_discharge_prem_prems_tac"
blanchet
parents: 49372
diff changeset
   586
                      flat (map2 (map o apfst o cons) xysets ppremss)
49362
1271aca16aed make tactic more robust in the case where "asm_simp_tac" already finishes the job
blanchet
parents: 49361
diff changeset
   587
                    end)
49376
c6366fd0415a select the right premise in "mk_induct_discharge_prem_prems_tac" instead of relying on backtracking
blanchet
parents: 49375
diff changeset
   588
                | i => [([], (i + 1, x))])
49375
993677c1cf2a tuned code before fixing "mk_induct_discharge_prem_prems_tac"
blanchet
parents: 49372
diff changeset
   589
              | mk_raw_prem_prems _ _ = [];
49342
8ea4bad49ed5 rough and ready induction
blanchet
parents: 49338
diff changeset
   590
49378
19237e465055 fixed issue with bound variables in prem prems + tuning
blanchet
parents: 49377
diff changeset
   591
            fun close_prem_prem xs t =
19237e465055 fixed issue with bound variables in prem prems + tuning
blanchet
parents: 49377
diff changeset
   592
              fold_rev Logic.all (map Free (drop (nn + length xs)
19237e465055 fixed issue with bound variables in prem prems + tuning
blanchet
parents: 49377
diff changeset
   593
                (rev (Term.add_frees t (map dest_Free xs @ phis'))))) t;
49362
1271aca16aed make tactic more robust in the case where "asm_simp_tac" already finishes the job
blanchet
parents: 49361
diff changeset
   594
49378
19237e465055 fixed issue with bound variables in prem prems + tuning
blanchet
parents: 49377
diff changeset
   595
            fun mk_prem_prem xs (xysets, (j, x)) =
19237e465055 fixed issue with bound variables in prem prems + tuning
blanchet
parents: 49377
diff changeset
   596
              close_prem_prem xs (Logic.list_implies (map (fn (x', (y, set)) =>
49376
c6366fd0415a select the right premise in "mk_induct_discharge_prem_prems_tac" instead of relying on backtracking
blanchet
parents: 49375
diff changeset
   597
                  HOLogic.mk_Trueprop (HOLogic.mk_mem (y, set $ x'))) xysets,
c6366fd0415a select the right premise in "mk_induct_discharge_prem_prems_tac" instead of relying on backtracking
blanchet
parents: 49375
diff changeset
   598
                HOLogic.mk_Trueprop (nth phis (j - 1) $ x)));
49375
993677c1cf2a tuned code before fixing "mk_induct_discharge_prem_prems_tac"
blanchet
parents: 49372
diff changeset
   599
49372
c62165188971 polished the induction
blanchet
parents: 49371
diff changeset
   600
            fun mk_raw_prem phi ctr ctr_Ts =
49362
1271aca16aed make tactic more robust in the case where "asm_simp_tac" already finishes the job
blanchet
parents: 49361
diff changeset
   601
              let
1271aca16aed make tactic more robust in the case where "asm_simp_tac" already finishes the job
blanchet
parents: 49361
diff changeset
   602
                val (xs, names_lthy') = names_lthy |> mk_Frees "x" ctr_Ts;
49376
c6366fd0415a select the right premise in "mk_induct_discharge_prem_prems_tac" instead of relying on backtracking
blanchet
parents: 49375
diff changeset
   603
                val pprems = maps (mk_raw_prem_prems names_lthy') xs;
49378
19237e465055 fixed issue with bound variables in prem prems + tuning
blanchet
parents: 49377
diff changeset
   604
              in (xs, pprems, HOLogic.mk_Trueprop (phi $ Term.list_comb (ctr, xs))) end;
49342
8ea4bad49ed5 rough and ready induction
blanchet
parents: 49338
diff changeset
   605
49376
c6366fd0415a select the right premise in "mk_induct_discharge_prem_prems_tac" instead of relying on backtracking
blanchet
parents: 49375
diff changeset
   606
            fun mk_prem (xs, raw_pprems, concl) =
49378
19237e465055 fixed issue with bound variables in prem prems + tuning
blanchet
parents: 49377
diff changeset
   607
              fold_rev Logic.all xs (Logic.list_implies (map (mk_prem_prem xs) raw_pprems, concl));
49368
df359ce891ac added induct tactic
blanchet
parents: 49367
diff changeset
   608
49389
blanchet
parents: 49381
diff changeset
   609
            val raw_premss = map3 (map2 o mk_raw_prem) phis ctrss ctr_Tsss;
blanchet
parents: 49381
diff changeset
   610
49361
cc1d39529dd1 derive induction via backward proof, to ensure that the premises are in the right order for constructors like "X x y x" where x and y are mutually recursive
blanchet
parents: 49342
diff changeset
   611
            val goal =
49372
c62165188971 polished the induction
blanchet
parents: 49371
diff changeset
   612
              Library.foldr (Logic.list_implies o apfst (map mk_prem)) (raw_premss,
49498
acc583e14167 tuned variable names
blanchet
parents: 49484
diff changeset
   613
                HOLogic.mk_Trueprop (Library.foldr1 HOLogic.mk_conj (map2 (curry (op $)) phis us)));
49368
df359ce891ac added induct tactic
blanchet
parents: 49367
diff changeset
   614
49429
64ac3471005a cleaner way of dealing with the set functions of sums and products
blanchet
parents: 49427
diff changeset
   615
            val kksss = map (map (map (fst o snd) o #2)) raw_premss;
49368
df359ce891ac added induct tactic
blanchet
parents: 49367
diff changeset
   616
49501
acc9635a644a renamed "fld"/"unf" to "ctor"/"dtor"
blanchet
parents: 49498
diff changeset
   617
            val ctor_induct' = fp_induct OF (map mk_sumEN_tupled_balanced mss);
49342
8ea4bad49ed5 rough and ready induction
blanchet
parents: 49338
diff changeset
   618
8ea4bad49ed5 rough and ready induction
blanchet
parents: 49338
diff changeset
   619
            val induct_thm =
49361
cc1d39529dd1 derive induction via backward proof, to ensure that the premises are in the right order for constructors like "X x y x" where x and y are mutually recursive
blanchet
parents: 49342
diff changeset
   620
              Skip_Proof.prove lthy [] [] goal (fn {context = ctxt, ...} =>
49501
acc9635a644a renamed "fld"/"unf" to "ctor"/"dtor"
blanchet
parents: 49498
diff changeset
   621
                mk_induct_tac ctxt ns mss kksss (flat ctr_defss) ctor_induct'
49389
blanchet
parents: 49381
diff changeset
   622
                  nested_set_natural's pre_set_defss)
49368
df359ce891ac added induct tactic
blanchet
parents: 49367
diff changeset
   623
              |> singleton (Proof_Context.export names_lthy lthy)
49337
538687a77075 set up things for (co)induction sugar
blanchet
parents: 49336
diff changeset
   624
          in
49367
blanchet
parents: 49366
diff changeset
   625
            `(conj_dests nn) induct_thm
49337
538687a77075 set up things for (co)induction sugar
blanchet
parents: 49336
diff changeset
   626
          end;
49201
blanchet
parents: 49200
diff changeset
   627
49438
5bc80d96241e group "simps" together
blanchet
parents: 49437
diff changeset
   628
        (* TODO: Generate nicer names in case of clashes *)
49437
c139da00fb4a register induct attributes
blanchet
parents: 49434
diff changeset
   629
        val induct_cases = Datatype_Prop.indexify_names (maps (map base_name_of_ctr) ctrss);
c139da00fb4a register induct attributes
blanchet
parents: 49434
diff changeset
   630
49504
df9b897fb254 renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents: 49502
diff changeset
   631
        val (fold_thmss, rec_thmss) =
49207
4634c217b77b completed iter/rec proofs
blanchet
parents: 49205
diff changeset
   632
          let
49337
538687a77075 set up things for (co)induction sugar
blanchet
parents: 49336
diff changeset
   633
            val xctrss = map2 (map2 (curry Term.list_comb)) ctrss xsss;
49504
df9b897fb254 renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents: 49502
diff changeset
   634
            val gfolds = map (lists_bmoc gss) folds;
49337
538687a77075 set up things for (co)induction sugar
blanchet
parents: 49336
diff changeset
   635
            val hrecs = map (lists_bmoc hss) recs;
538687a77075 set up things for (co)induction sugar
blanchet
parents: 49336
diff changeset
   636
49504
df9b897fb254 renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents: 49502
diff changeset
   637
            fun mk_goal fss frec_like xctr f xs fxs =
49207
4634c217b77b completed iter/rec proofs
blanchet
parents: 49205
diff changeset
   638
              fold_rev (fold_rev Logic.all) (xs :: fss)
49504
df9b897fb254 renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents: 49502
diff changeset
   639
                (mk_Trueprop_eq (frec_like $ xctr, Term.list_comb (f, fxs)));
49204
0b735fb2602e generate iter/rec goals
blanchet
parents: 49203
diff changeset
   640
49504
df9b897fb254 renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents: 49502
diff changeset
   641
            fun build_call frec_likes maybe_tick (T, U) =
49234
blanchet
parents: 49233
diff changeset
   642
              if T = U then
49368
df359ce891ac added induct tactic
blanchet
parents: 49367
diff changeset
   643
                id_const T
49234
blanchet
parents: 49233
diff changeset
   644
              else
blanchet
parents: 49233
diff changeset
   645
                (case find_index (curry (op =) T) fpTs of
49504
df9b897fb254 renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents: 49502
diff changeset
   646
                  ~1 => build_map (build_call frec_likes maybe_tick) T U
df9b897fb254 renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents: 49502
diff changeset
   647
                | j => maybe_tick (nth us j) (nth frec_likes j));
49233
7f412734fbb3 fixed and reenabled "corecs" theorems
blanchet
parents: 49232
diff changeset
   648
49274
ddd606ec45b9 first step towards splitting corecursor function arguments into (p, g, h) triples
blanchet
parents: 49273
diff changeset
   649
            fun mk_U maybe_mk_prodT =
ddd606ec45b9 first step towards splitting corecursor function arguments into (p, g, h) triples
blanchet
parents: 49273
diff changeset
   650
              typ_subst (map2 (fn fpT => fn C => (fpT, maybe_mk_prodT fpT C)) fpTs Cs);
49214
2a3cb4c71b87 construct the right iterator theorem in the recursive case
blanchet
parents: 49213
diff changeset
   651
49504
df9b897fb254 renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents: 49502
diff changeset
   652
            fun intr_calls frec_likes maybe_cons maybe_tick maybe_mk_prodT (x as Free (_, T)) =
49214
2a3cb4c71b87 construct the right iterator theorem in the recursive case
blanchet
parents: 49213
diff changeset
   653
              if member (op =) fpTs T then
49504
df9b897fb254 renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents: 49502
diff changeset
   654
                maybe_cons x [build_call frec_likes (K I) (T, mk_U (K I) T) $ x]
49362
1271aca16aed make tactic more robust in the case where "asm_simp_tac" already finishes the job
blanchet
parents: 49361
diff changeset
   655
              else if exists_fp_subtype T then
49504
df9b897fb254 renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents: 49502
diff changeset
   656
                [build_call frec_likes maybe_tick (T, mk_U maybe_mk_prodT T) $ x]
49214
2a3cb4c71b87 construct the right iterator theorem in the recursive case
blanchet
parents: 49213
diff changeset
   657
              else
2a3cb4c71b87 construct the right iterator theorem in the recursive case
blanchet
parents: 49213
diff changeset
   658
                [x];
2a3cb4c71b87 construct the right iterator theorem in the recursive case
blanchet
parents: 49213
diff changeset
   659
49504
df9b897fb254 renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents: 49502
diff changeset
   660
            val gxsss = map (map (maps (intr_calls gfolds (K I) (K I) (K I)))) xsss;
49342
8ea4bad49ed5 rough and ready induction
blanchet
parents: 49338
diff changeset
   661
            val hxsss = map (map (maps (intr_calls hrecs cons tick (curry HOLogic.mk_prodT)))) xsss;
49204
0b735fb2602e generate iter/rec goals
blanchet
parents: 49203
diff changeset
   662
49504
df9b897fb254 renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents: 49502
diff changeset
   663
            val fold_goalss = map5 (map4 o mk_goal gss) gfolds xctrss gss xsss gxsss;
49484
0194a18f80cf finished "disc_coiter_iff" etc. generation
blanchet
parents: 49482
diff changeset
   664
            val rec_goalss = map5 (map4 o mk_goal hss) hrecs xctrss hss xsss hxsss;
49204
0b735fb2602e generate iter/rec goals
blanchet
parents: 49203
diff changeset
   665
49504
df9b897fb254 renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents: 49502
diff changeset
   666
            val fold_tacss =
df9b897fb254 renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents: 49502
diff changeset
   667
              map2 (map o mk_rec_like_tac pre_map_defs nesting_map_ids fold_defs) fp_fold_thms
49363
8fc53d925629 distinguish between nested and nesting BNFs
blanchet
parents: 49362
diff changeset
   668
                ctr_defss;
49203
262ab1ac38b9 repaired constant types
blanchet
parents: 49202
diff changeset
   669
            val rec_tacss =
49504
df9b897fb254 renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents: 49502
diff changeset
   670
              map2 (map o mk_rec_like_tac pre_map_defs nesting_map_ids rec_defs) fp_rec_thms
49363
8fc53d925629 distinguish between nested and nesting BNFs
blanchet
parents: 49362
diff changeset
   671
                ctr_defss;
49484
0194a18f80cf finished "disc_coiter_iff" etc. generation
blanchet
parents: 49482
diff changeset
   672
0194a18f80cf finished "disc_coiter_iff" etc. generation
blanchet
parents: 49482
diff changeset
   673
            fun prove goal tac = Skip_Proof.prove lthy [] [] goal (tac o #context);
49202
f493cd25737f some work towards iterator and recursor properties
blanchet
parents: 49201
diff changeset
   674
          in
49504
df9b897fb254 renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents: 49502
diff changeset
   675
            (map2 (map2 prove) fold_goalss fold_tacss,
49484
0194a18f80cf finished "disc_coiter_iff" etc. generation
blanchet
parents: 49482
diff changeset
   676
             map2 (map2 prove) rec_goalss rec_tacss)
49202
f493cd25737f some work towards iterator and recursor properties
blanchet
parents: 49201
diff changeset
   677
          end;
49201
blanchet
parents: 49200
diff changeset
   678
49504
df9b897fb254 renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents: 49502
diff changeset
   679
        val simp_thmss = mk_simp_thmss wrap_ress rec_thmss fold_thmss;
49438
5bc80d96241e group "simps" together
blanchet
parents: 49437
diff changeset
   680
49437
c139da00fb4a register induct attributes
blanchet
parents: 49434
diff changeset
   681
        val induct_case_names_attr = Attrib.internal (K (Rule_Cases.case_names induct_cases));
c139da00fb4a register induct attributes
blanchet
parents: 49434
diff changeset
   682
        fun induct_type_attr T_name = Attrib.internal (K (Induct.induct_type T_name));
c139da00fb4a register induct attributes
blanchet
parents: 49434
diff changeset
   683
49450
24029cbec12a tuned ID/DEADID setup
blanchet
parents: 49438
diff changeset
   684
        (* TODO: Also note "recs", "simps", and "splits" if "nn > 1" (for compatibility with the
49479
504f0a38f608 added "simp"s to coiter/corec theorems + export under "simps" name
blanchet
parents: 49478
diff changeset
   685
           old package)? And for codatatypes as well? *)
49337
538687a77075 set up things for (co)induction sugar
blanchet
parents: 49336
diff changeset
   686
        val common_notes =
49437
c139da00fb4a register induct attributes
blanchet
parents: 49434
diff changeset
   687
          (if nn > 1 then [(inductN, [induct_thm], [induct_case_names_attr])] else [])
49337
538687a77075 set up things for (co)induction sugar
blanchet
parents: 49336
diff changeset
   688
          |> map (fn (thmN, thms, attrs) =>
49479
504f0a38f608 added "simp"s to coiter/corec theorems + export under "simps" name
blanchet
parents: 49478
diff changeset
   689
            ((Binding.qualify true fp_common_name (Binding.name thmN), attrs), [(thms, [])]));
49337
538687a77075 set up things for (co)induction sugar
blanchet
parents: 49336
diff changeset
   690
49226
510c6d4a73ec fixed and enabled iterator/recursor theorems
blanchet
parents: 49224
diff changeset
   691
        val notes =
49437
c139da00fb4a register induct attributes
blanchet
parents: 49434
diff changeset
   692
          [(inductN, map single induct_thms,
c139da00fb4a register induct attributes
blanchet
parents: 49434
diff changeset
   693
            fn T_name => [induct_case_names_attr, induct_type_attr T_name]),
49504
df9b897fb254 renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents: 49502
diff changeset
   694
           (foldsN, fold_thmss, K (Code.add_default_eqn_attrib :: simp_attrs)),
49438
5bc80d96241e group "simps" together
blanchet
parents: 49437
diff changeset
   695
           (recsN, rec_thmss, K (Code.add_default_eqn_attrib :: simp_attrs)),
49536
898aea2e7a94 started work on generation of "rel" theorems
blanchet
parents: 49518
diff changeset
   696
           (simpsN, simp_thmss, K [])] (* TODO: Add relator simps *)
49300
c707df2e2083 added attributes to theorems
blanchet
parents: 49298
diff changeset
   697
          |> maps (fn (thmN, thmss, attrs) =>
49437
c139da00fb4a register induct attributes
blanchet
parents: 49434
diff changeset
   698
            map3 (fn b => fn Type (T_name, _) => fn thms =>
c139da00fb4a register induct attributes
blanchet
parents: 49434
diff changeset
   699
              ((Binding.qualify true (Binding.name_of b) (Binding.name thmN), attrs T_name),
c139da00fb4a register induct attributes
blanchet
parents: 49434
diff changeset
   700
                [(thms, [])])) fp_bs fpTs thmss);
49202
f493cd25737f some work towards iterator and recursor properties
blanchet
parents: 49201
diff changeset
   701
      in
49337
538687a77075 set up things for (co)induction sugar
blanchet
parents: 49336
diff changeset
   702
        lthy |> Local_Theory.notes (common_notes @ notes) |> snd
49202
f493cd25737f some work towards iterator and recursor properties
blanchet
parents: 49201
diff changeset
   703
      end;
f493cd25737f some work towards iterator and recursor properties
blanchet
parents: 49201
diff changeset
   704
49536
898aea2e7a94 started work on generation of "rel" theorems
blanchet
parents: 49518
diff changeset
   705
    fun derive_coinduct_unfold_corec_thms_for_types ((wrap_ress, ctrss, unfolds, corecs, _, _,
49504
df9b897fb254 renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents: 49502
diff changeset
   706
        ctr_defss, unfold_defs, corec_defs), lthy) =
49212
ca59649170b0 more sugar on codatatypes
blanchet
parents: 49211
diff changeset
   707
      let
49484
0194a18f80cf finished "disc_coiter_iff" etc. generation
blanchet
parents: 49482
diff changeset
   708
        val discss = map (map (mk_disc_or_sel As) o #1) wrap_ress;
0194a18f80cf finished "disc_coiter_iff" etc. generation
blanchet
parents: 49482
diff changeset
   709
        val selsss = map #2 wrap_ress;
0194a18f80cf finished "disc_coiter_iff" etc. generation
blanchet
parents: 49482
diff changeset
   710
        val disc_thmsss = map #6 wrap_ress;
0194a18f80cf finished "disc_coiter_iff" etc. generation
blanchet
parents: 49482
diff changeset
   711
        val discIss = map #7 wrap_ress;
0194a18f80cf finished "disc_coiter_iff" etc. generation
blanchet
parents: 49482
diff changeset
   712
        val sel_thmsss = map #8 wrap_ress;
49438
5bc80d96241e group "simps" together
blanchet
parents: 49437
diff changeset
   713
49498
acc583e14167 tuned variable names
blanchet
parents: 49484
diff changeset
   714
        val (us', _) =
49370
be6e749fd003 fixed variable exporting problem
blanchet
parents: 49368
diff changeset
   715
          lthy
49498
acc583e14167 tuned variable names
blanchet
parents: 49484
diff changeset
   716
          |> Variable.variant_fixes fp_b_names;
49370
be6e749fd003 fixed variable exporting problem
blanchet
parents: 49368
diff changeset
   717
49498
acc583e14167 tuned variable names
blanchet
parents: 49484
diff changeset
   718
        val us = map2 (curry Free) us' fpTs;
49370
be6e749fd003 fixed variable exporting problem
blanchet
parents: 49368
diff changeset
   719
49337
538687a77075 set up things for (co)induction sugar
blanchet
parents: 49336
diff changeset
   720
        val (coinduct_thms, coinduct_thm) =
538687a77075 set up things for (co)induction sugar
blanchet
parents: 49336
diff changeset
   721
          let
538687a77075 set up things for (co)induction sugar
blanchet
parents: 49336
diff changeset
   722
            val coinduct_thm = fp_induct;
538687a77075 set up things for (co)induction sugar
blanchet
parents: 49336
diff changeset
   723
          in
49367
blanchet
parents: 49366
diff changeset
   724
            `(conj_dests nn) coinduct_thm
49337
538687a77075 set up things for (co)induction sugar
blanchet
parents: 49336
diff changeset
   725
          end;
49212
ca59649170b0 more sugar on codatatypes
blanchet
parents: 49211
diff changeset
   726
49484
0194a18f80cf finished "disc_coiter_iff" etc. generation
blanchet
parents: 49482
diff changeset
   727
        fun mk_maybe_not pos = not pos ? HOLogic.mk_not;
0194a18f80cf finished "disc_coiter_iff" etc. generation
blanchet
parents: 49482
diff changeset
   728
0194a18f80cf finished "disc_coiter_iff" etc. generation
blanchet
parents: 49482
diff changeset
   729
        val z = the_single zs;
49504
df9b897fb254 renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents: 49502
diff changeset
   730
        val gunfolds = map (lists_bmoc pgss) unfolds;
49484
0194a18f80cf finished "disc_coiter_iff" etc. generation
blanchet
parents: 49482
diff changeset
   731
        val hcorecs = map (lists_bmoc phss) corecs;
0194a18f80cf finished "disc_coiter_iff" etc. generation
blanchet
parents: 49482
diff changeset
   732
49504
df9b897fb254 renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents: 49502
diff changeset
   733
        val (unfold_thmss, corec_thmss, safe_unfold_thmss, safe_corec_thmss) =
49212
ca59649170b0 more sugar on codatatypes
blanchet
parents: 49211
diff changeset
   734
          let
49504
df9b897fb254 renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents: 49502
diff changeset
   735
            fun mk_goal pfss c cps fcorec_like n k ctr m cfs' =
49212
ca59649170b0 more sugar on codatatypes
blanchet
parents: 49211
diff changeset
   736
              fold_rev (fold_rev Logic.all) ([c] :: pfss)
49484
0194a18f80cf finished "disc_coiter_iff" etc. generation
blanchet
parents: 49482
diff changeset
   737
                (Logic.list_implies (seq_conds (HOLogic.mk_Trueprop oo mk_maybe_not) n k cps,
49504
df9b897fb254 renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents: 49502
diff changeset
   738
                   mk_Trueprop_eq (fcorec_like $ c, Term.list_comb (ctr, take m cfs'))));
49212
ca59649170b0 more sugar on codatatypes
blanchet
parents: 49211
diff changeset
   739
49504
df9b897fb254 renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents: 49502
diff changeset
   740
            fun build_call frec_likes maybe_tack (T, U) =
49234
blanchet
parents: 49233
diff changeset
   741
              if T = U then
49368
df359ce891ac added induct tactic
blanchet
parents: 49367
diff changeset
   742
                id_const T
49234
blanchet
parents: 49233
diff changeset
   743
              else
blanchet
parents: 49233
diff changeset
   744
                (case find_index (curry (op =) U) fpTs of
49504
df9b897fb254 renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents: 49502
diff changeset
   745
                  ~1 => build_map (build_call frec_likes maybe_tack) T U
df9b897fb254 renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents: 49502
diff changeset
   746
                | j => maybe_tack (nth cs j, nth us j) (nth frec_likes j));
49233
7f412734fbb3 fixed and reenabled "corecs" theorems
blanchet
parents: 49232
diff changeset
   747
49274
ddd606ec45b9 first step towards splitting corecursor function arguments into (p, g, h) triples
blanchet
parents: 49273
diff changeset
   748
            fun mk_U maybe_mk_sumT =
ddd606ec45b9 first step towards splitting corecursor function arguments into (p, g, h) triples
blanchet
parents: 49273
diff changeset
   749
              typ_subst (map2 (fn C => fn fpT => (maybe_mk_sumT fpT C, fpT)) Cs fpTs);
49212
ca59649170b0 more sugar on codatatypes
blanchet
parents: 49211
diff changeset
   750
49504
df9b897fb254 renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents: 49502
diff changeset
   751
            fun intr_calls frec_likes maybe_mk_sumT maybe_tack cqf =
49276
59fa53ed7507 finished splitting sum types for corecursors
blanchet
parents: 49275
diff changeset
   752
              let val T = fastype_of cqf in
59fa53ed7507 finished splitting sum types for corecursors
blanchet
parents: 49275
diff changeset
   753
                if exists_subtype (member (op =) Cs) T then
49504
df9b897fb254 renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents: 49502
diff changeset
   754
                  build_call frec_likes maybe_tack (T, mk_U maybe_mk_sumT T) $ cqf
49276
59fa53ed7507 finished splitting sum types for corecursors
blanchet
parents: 49275
diff changeset
   755
                else
59fa53ed7507 finished splitting sum types for corecursors
blanchet
parents: 49275
diff changeset
   756
                  cqf
59fa53ed7507 finished splitting sum types for corecursors
blanchet
parents: 49275
diff changeset
   757
              end;
49232
9ea11f0c53e4 fixed and enabled generation of "coiters" theorems, including the recursive case
blanchet
parents: 49230
diff changeset
   758
49504
df9b897fb254 renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents: 49502
diff changeset
   759
            val crgsss' = map (map (map (intr_calls gunfolds (K I) (K I)))) crgsss;
49342
8ea4bad49ed5 rough and ready induction
blanchet
parents: 49338
diff changeset
   760
            val cshsss' = map (map (map (intr_calls hcorecs (curry mk_sumT) (tack z)))) cshsss;
49212
ca59649170b0 more sugar on codatatypes
blanchet
parents: 49211
diff changeset
   761
49504
df9b897fb254 renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents: 49502
diff changeset
   762
            val unfold_goalss =
df9b897fb254 renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents: 49502
diff changeset
   763
              map8 (map4 oooo mk_goal pgss) cs cpss gunfolds ns kss ctrss mss crgsss';
49484
0194a18f80cf finished "disc_coiter_iff" etc. generation
blanchet
parents: 49482
diff changeset
   764
            val corec_goalss =
0194a18f80cf finished "disc_coiter_iff" etc. generation
blanchet
parents: 49482
diff changeset
   765
              map8 (map4 oooo mk_goal phss) cs cpss hcorecs ns kss ctrss mss cshsss';
49213
975ccb0130cb some work on coiter tactic
blanchet
parents: 49212
diff changeset
   766
49504
df9b897fb254 renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents: 49502
diff changeset
   767
            val unfold_tacss =
df9b897fb254 renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents: 49502
diff changeset
   768
              map3 (map oo mk_corec_like_tac unfold_defs nesting_map_ids) fp_fold_thms pre_map_defs
49226
510c6d4a73ec fixed and enabled iterator/recursor theorems
blanchet
parents: 49224
diff changeset
   769
                ctr_defss;
49233
7f412734fbb3 fixed and reenabled "corecs" theorems
blanchet
parents: 49232
diff changeset
   770
            val corec_tacss =
49504
df9b897fb254 renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents: 49502
diff changeset
   771
              map3 (map oo mk_corec_like_tac corec_defs nesting_map_ids) fp_rec_thms pre_map_defs
49233
7f412734fbb3 fixed and reenabled "corecs" theorems
blanchet
parents: 49232
diff changeset
   772
                ctr_defss;
49479
504f0a38f608 added "simp"s to coiter/corec theorems + export under "simps" name
blanchet
parents: 49478
diff changeset
   773
49484
0194a18f80cf finished "disc_coiter_iff" etc. generation
blanchet
parents: 49482
diff changeset
   774
            fun prove goal tac =
0194a18f80cf finished "disc_coiter_iff" etc. generation
blanchet
parents: 49482
diff changeset
   775
              Skip_Proof.prove lthy [] [] goal (tac o #context) |> Thm.close_derivation;
0194a18f80cf finished "disc_coiter_iff" etc. generation
blanchet
parents: 49482
diff changeset
   776
49504
df9b897fb254 renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents: 49502
diff changeset
   777
            val unfold_thmss = map2 (map2 prove) unfold_goalss unfold_tacss;
49479
504f0a38f608 added "simp"s to coiter/corec theorems + export under "simps" name
blanchet
parents: 49478
diff changeset
   778
            val corec_thmss =
49484
0194a18f80cf finished "disc_coiter_iff" etc. generation
blanchet
parents: 49482
diff changeset
   779
              map2 (map2 prove) corec_goalss corec_tacss
49504
df9b897fb254 renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents: 49502
diff changeset
   780
              |> map (map (unfold_thms lthy @{thms sum_case_if}));
49479
504f0a38f608 added "simp"s to coiter/corec theorems + export under "simps" name
blanchet
parents: 49478
diff changeset
   781
49504
df9b897fb254 renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents: 49502
diff changeset
   782
            val unfold_safesss = map2 (map2 (map2 (curry (op =)))) crgsss' crgsss;
49479
504f0a38f608 added "simp"s to coiter/corec theorems + export under "simps" name
blanchet
parents: 49478
diff changeset
   783
            val corec_safesss = map2 (map2 (map2 (curry (op =)))) cshsss' cshsss;
504f0a38f608 added "simp"s to coiter/corec theorems + export under "simps" name
blanchet
parents: 49478
diff changeset
   784
504f0a38f608 added "simp"s to coiter/corec theorems + export under "simps" name
blanchet
parents: 49478
diff changeset
   785
            val filter_safesss =
504f0a38f608 added "simp"s to coiter/corec theorems + export under "simps" name
blanchet
parents: 49478
diff changeset
   786
              map2 (map_filter (fn (safes, thm) => if forall I safes then SOME thm else NONE) oo
504f0a38f608 added "simp"s to coiter/corec theorems + export under "simps" name
blanchet
parents: 49478
diff changeset
   787
                curry (op ~~));
504f0a38f608 added "simp"s to coiter/corec theorems + export under "simps" name
blanchet
parents: 49478
diff changeset
   788
49504
df9b897fb254 renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents: 49502
diff changeset
   789
            val safe_unfold_thmss = filter_safesss unfold_safesss unfold_thmss;
49479
504f0a38f608 added "simp"s to coiter/corec theorems + export under "simps" name
blanchet
parents: 49478
diff changeset
   790
            val safe_corec_thmss = filter_safesss corec_safesss corec_thmss;
504f0a38f608 added "simp"s to coiter/corec theorems + export under "simps" name
blanchet
parents: 49478
diff changeset
   791
          in
49504
df9b897fb254 renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents: 49502
diff changeset
   792
            (unfold_thmss, corec_thmss, safe_unfold_thmss, safe_corec_thmss)
49212
ca59649170b0 more sugar on codatatypes
blanchet
parents: 49211
diff changeset
   793
          end;
ca59649170b0 more sugar on codatatypes
blanchet
parents: 49211
diff changeset
   794
49504
df9b897fb254 renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents: 49502
diff changeset
   795
        val (disc_unfold_iff_thmss, disc_corec_iff_thmss) =
49482
e6d6869eed08 generate coiter_iff and corec_iff theorems
blanchet
parents: 49479
diff changeset
   796
          let
49504
df9b897fb254 renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents: 49502
diff changeset
   797
            fun mk_goal c cps fcorec_like n k disc =
df9b897fb254 renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents: 49502
diff changeset
   798
              mk_Trueprop_eq (disc $ (fcorec_like $ c),
49484
0194a18f80cf finished "disc_coiter_iff" etc. generation
blanchet
parents: 49482
diff changeset
   799
                if n = 1 then @{const True}
0194a18f80cf finished "disc_coiter_iff" etc. generation
blanchet
parents: 49482
diff changeset
   800
                else Library.foldr1 HOLogic.mk_conj (seq_conds mk_maybe_not n k cps));
0194a18f80cf finished "disc_coiter_iff" etc. generation
blanchet
parents: 49482
diff changeset
   801
49504
df9b897fb254 renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents: 49502
diff changeset
   802
            val unfold_goalss = map6 (map2 oooo mk_goal) cs cpss gunfolds ns kss discss;
49484
0194a18f80cf finished "disc_coiter_iff" etc. generation
blanchet
parents: 49482
diff changeset
   803
            val corec_goalss = map6 (map2 oooo mk_goal) cs cpss hcorecs ns kss discss;
0194a18f80cf finished "disc_coiter_iff" etc. generation
blanchet
parents: 49482
diff changeset
   804
0194a18f80cf finished "disc_coiter_iff" etc. generation
blanchet
parents: 49482
diff changeset
   805
            fun mk_case_split' cp =
0194a18f80cf finished "disc_coiter_iff" etc. generation
blanchet
parents: 49482
diff changeset
   806
              Drule.instantiate' [] [SOME (certify lthy cp)] @{thm case_split};
0194a18f80cf finished "disc_coiter_iff" etc. generation
blanchet
parents: 49482
diff changeset
   807
0194a18f80cf finished "disc_coiter_iff" etc. generation
blanchet
parents: 49482
diff changeset
   808
            val case_splitss' = map (map mk_case_split') cpss;
49482
e6d6869eed08 generate coiter_iff and corec_iff theorems
blanchet
parents: 49479
diff changeset
   809
49504
df9b897fb254 renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents: 49502
diff changeset
   810
            val unfold_tacss =
df9b897fb254 renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents: 49502
diff changeset
   811
              map3 (map oo mk_disc_corec_like_iff_tac) case_splitss' unfold_thmss disc_thmsss;
49484
0194a18f80cf finished "disc_coiter_iff" etc. generation
blanchet
parents: 49482
diff changeset
   812
            val corec_tacss =
49504
df9b897fb254 renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents: 49502
diff changeset
   813
              map3 (map oo mk_disc_corec_like_iff_tac) case_splitss' corec_thmss disc_thmsss;
49484
0194a18f80cf finished "disc_coiter_iff" etc. generation
blanchet
parents: 49482
diff changeset
   814
0194a18f80cf finished "disc_coiter_iff" etc. generation
blanchet
parents: 49482
diff changeset
   815
            fun prove goal tac =
0194a18f80cf finished "disc_coiter_iff" etc. generation
blanchet
parents: 49482
diff changeset
   816
              Skip_Proof.prove lthy [] [] goal (tac o #context)
0194a18f80cf finished "disc_coiter_iff" etc. generation
blanchet
parents: 49482
diff changeset
   817
              |> Thm.close_derivation
0194a18f80cf finished "disc_coiter_iff" etc. generation
blanchet
parents: 49482
diff changeset
   818
              |> singleton (Proof_Context.export names_lthy no_defs_lthy);
0194a18f80cf finished "disc_coiter_iff" etc. generation
blanchet
parents: 49482
diff changeset
   819
0194a18f80cf finished "disc_coiter_iff" etc. generation
blanchet
parents: 49482
diff changeset
   820
            fun proves [_] [_] = []
0194a18f80cf finished "disc_coiter_iff" etc. generation
blanchet
parents: 49482
diff changeset
   821
              | proves goals tacs = map2 prove goals tacs;
49482
e6d6869eed08 generate coiter_iff and corec_iff theorems
blanchet
parents: 49479
diff changeset
   822
          in
49504
df9b897fb254 renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents: 49502
diff changeset
   823
            (map2 proves unfold_goalss unfold_tacss,
49484
0194a18f80cf finished "disc_coiter_iff" etc. generation
blanchet
parents: 49482
diff changeset
   824
             map2 proves corec_goalss corec_tacss)
49482
e6d6869eed08 generate coiter_iff and corec_iff theorems
blanchet
parents: 49479
diff changeset
   825
          end;
e6d6869eed08 generate coiter_iff and corec_iff theorems
blanchet
parents: 49479
diff changeset
   826
49504
df9b897fb254 renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents: 49502
diff changeset
   827
        fun mk_disc_corec_like_thms corec_likes discIs =
df9b897fb254 renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents: 49502
diff changeset
   828
          map (op RS) (filter_out (is_triv_implies o snd) (corec_likes ~~ discIs));
49266
70ffce5b65a4 generate "sel_coiters" and friends
blanchet
parents: 49264
diff changeset
   829
49504
df9b897fb254 renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents: 49502
diff changeset
   830
        val disc_unfold_thmss = map2 mk_disc_corec_like_thms unfold_thmss discIss;
df9b897fb254 renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents: 49502
diff changeset
   831
        val disc_corec_thmss = map2 mk_disc_corec_like_thms corec_thmss discIss;
49266
70ffce5b65a4 generate "sel_coiters" and friends
blanchet
parents: 49264
diff changeset
   832
49504
df9b897fb254 renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents: 49502
diff changeset
   833
        fun mk_sel_corec_like_thm corec_like_thm sel sel_thm =
49266
70ffce5b65a4 generate "sel_coiters" and friends
blanchet
parents: 49264
diff changeset
   834
          let
49479
504f0a38f608 added "simp"s to coiter/corec theorems + export under "simps" name
blanchet
parents: 49478
diff changeset
   835
            val (domT, ranT) = dest_funT (fastype_of sel);
49266
70ffce5b65a4 generate "sel_coiters" and friends
blanchet
parents: 49264
diff changeset
   836
            val arg_cong' =
70ffce5b65a4 generate "sel_coiters" and friends
blanchet
parents: 49264
diff changeset
   837
              Drule.instantiate' (map (SOME o certifyT lthy) [domT, ranT])
49479
504f0a38f608 added "simp"s to coiter/corec theorems + export under "simps" name
blanchet
parents: 49478
diff changeset
   838
                [NONE, NONE, SOME (certify lthy sel)] arg_cong
49267
c96a07255e10 correctly generate sel_coiter and sel_corec theorems
blanchet
parents: 49266
diff changeset
   839
              |> Thm.varifyT_global;
49266
70ffce5b65a4 generate "sel_coiters" and friends
blanchet
parents: 49264
diff changeset
   840
            val sel_thm' = sel_thm RSN (2, trans);
70ffce5b65a4 generate "sel_coiters" and friends
blanchet
parents: 49264
diff changeset
   841
          in
49504
df9b897fb254 renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents: 49502
diff changeset
   842
            corec_like_thm RS arg_cong' RS sel_thm'
49266
70ffce5b65a4 generate "sel_coiters" and friends
blanchet
parents: 49264
diff changeset
   843
          end;
70ffce5b65a4 generate "sel_coiters" and friends
blanchet
parents: 49264
diff changeset
   844
49504
df9b897fb254 renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents: 49502
diff changeset
   845
        fun mk_sel_corec_like_thms corec_likess =
df9b897fb254 renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents: 49502
diff changeset
   846
          map3 (map3 (map2 o mk_sel_corec_like_thm)) corec_likess selsss sel_thmsss |> map flat;
49479
504f0a38f608 added "simp"s to coiter/corec theorems + export under "simps" name
blanchet
parents: 49478
diff changeset
   847
49504
df9b897fb254 renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents: 49502
diff changeset
   848
        val sel_unfold_thmss = mk_sel_corec_like_thms unfold_thmss;
df9b897fb254 renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents: 49502
diff changeset
   849
        val sel_corec_thmss = mk_sel_corec_like_thms corec_thmss;
49479
504f0a38f608 added "simp"s to coiter/corec theorems + export under "simps" name
blanchet
parents: 49478
diff changeset
   850
49504
df9b897fb254 renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents: 49502
diff changeset
   851
        fun zip_corec_like_thms corec_likes disc_corec_likes sel_corec_likes =
df9b897fb254 renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents: 49502
diff changeset
   852
          corec_likes @ disc_corec_likes @ sel_corec_likes;
49479
504f0a38f608 added "simp"s to coiter/corec theorems + export under "simps" name
blanchet
parents: 49478
diff changeset
   853
504f0a38f608 added "simp"s to coiter/corec theorems + export under "simps" name
blanchet
parents: 49478
diff changeset
   854
        val simp_thmss =
504f0a38f608 added "simp"s to coiter/corec theorems + export under "simps" name
blanchet
parents: 49478
diff changeset
   855
          mk_simp_thmss wrap_ress
49504
df9b897fb254 renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents: 49502
diff changeset
   856
            (map3 zip_corec_like_thms safe_corec_thmss disc_corec_thmss sel_corec_thmss)
df9b897fb254 renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents: 49502
diff changeset
   857
            (map3 zip_corec_like_thms safe_unfold_thmss disc_unfold_thmss sel_unfold_thmss);
49479
504f0a38f608 added "simp"s to coiter/corec theorems + export under "simps" name
blanchet
parents: 49478
diff changeset
   858
504f0a38f608 added "simp"s to coiter/corec theorems + export under "simps" name
blanchet
parents: 49478
diff changeset
   859
        val anonymous_notes =
49504
df9b897fb254 renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents: 49502
diff changeset
   860
          [(flat safe_unfold_thmss @ flat safe_corec_thmss, simp_attrs)]
49479
504f0a38f608 added "simp"s to coiter/corec theorems + export under "simps" name
blanchet
parents: 49478
diff changeset
   861
          |> map (fn (thms, attrs) => ((Binding.empty, attrs), [(thms, [])]));
49266
70ffce5b65a4 generate "sel_coiters" and friends
blanchet
parents: 49264
diff changeset
   862
49342
8ea4bad49ed5 rough and ready induction
blanchet
parents: 49338
diff changeset
   863
        val common_notes =
49367
blanchet
parents: 49366
diff changeset
   864
          (if nn > 1 then [(coinductN, [coinduct_thm], [])] (* FIXME: attribs *) else [])
49342
8ea4bad49ed5 rough and ready induction
blanchet
parents: 49338
diff changeset
   865
          |> map (fn (thmN, thms, attrs) =>
49479
504f0a38f608 added "simp"s to coiter/corec theorems + export under "simps" name
blanchet
parents: 49478
diff changeset
   866
            ((Binding.qualify true fp_common_name (Binding.name thmN), attrs), [(thms, [])]));
49342
8ea4bad49ed5 rough and ready induction
blanchet
parents: 49338
diff changeset
   867
49212
ca59649170b0 more sugar on codatatypes
blanchet
parents: 49211
diff changeset
   868
        val notes =
49342
8ea4bad49ed5 rough and ready induction
blanchet
parents: 49338
diff changeset
   869
          [(coinductN, map single coinduct_thms, []), (* FIXME: attribs *)
49482
e6d6869eed08 generate coiter_iff and corec_iff theorems
blanchet
parents: 49479
diff changeset
   870
           (corecsN, corec_thmss, []),
49504
df9b897fb254 renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents: 49502
diff changeset
   871
           (disc_unfold_iffN, disc_unfold_iff_thmss, simp_attrs),
df9b897fb254 renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents: 49502
diff changeset
   872
           (disc_unfoldsN, disc_unfold_thmss, simp_attrs),
49484
0194a18f80cf finished "disc_coiter_iff" etc. generation
blanchet
parents: 49482
diff changeset
   873
           (disc_corec_iffN, disc_corec_iff_thmss, simp_attrs),
49482
e6d6869eed08 generate coiter_iff and corec_iff theorems
blanchet
parents: 49479
diff changeset
   874
           (disc_corecsN, disc_corec_thmss, simp_attrs),
49504
df9b897fb254 renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents: 49502
diff changeset
   875
           (sel_unfoldsN, sel_unfold_thmss, simp_attrs),
49479
504f0a38f608 added "simp"s to coiter/corec theorems + export under "simps" name
blanchet
parents: 49478
diff changeset
   876
           (sel_corecsN, sel_corec_thmss, simp_attrs),
49536
898aea2e7a94 started work on generation of "rel" theorems
blanchet
parents: 49518
diff changeset
   877
           (simpsN, simp_thmss, []), (* TODO: Add relator simps *)
49518
b377da40244b renamed LFP low-level rel property to have ctor not dtor in its name
blanchet
parents: 49510
diff changeset
   878
           (unfoldsN, unfold_thmss, [])]
49300
c707df2e2083 added attributes to theorems
blanchet
parents: 49298
diff changeset
   879
          |> maps (fn (thmN, thmss, attrs) =>
49266
70ffce5b65a4 generate "sel_coiters" and friends
blanchet
parents: 49264
diff changeset
   880
            map_filter (fn (_, []) => NONE | (b, thms) =>
49300
c707df2e2083 added attributes to theorems
blanchet
parents: 49298
diff changeset
   881
              SOME ((Binding.qualify true (Binding.name_of b) (Binding.name thmN), attrs),
49302
f5bd87aac224 added optional qualifiers for constructors and destructors, similarly to the old package
blanchet
parents: 49300
diff changeset
   882
                [(thms, [])])) (fp_bs ~~ thmss));
49212
ca59649170b0 more sugar on codatatypes
blanchet
parents: 49211
diff changeset
   883
      in
49479
504f0a38f608 added "simp"s to coiter/corec theorems + export under "simps" name
blanchet
parents: 49478
diff changeset
   884
        lthy |> Local_Theory.notes (anonymous_notes @ common_notes @ notes) |> snd
49212
ca59649170b0 more sugar on codatatypes
blanchet
parents: 49211
diff changeset
   885
      end;
ca59649170b0 more sugar on codatatypes
blanchet
parents: 49211
diff changeset
   886
49536
898aea2e7a94 started work on generation of "rel" theorems
blanchet
parents: 49518
diff changeset
   887
    fun derive_rel_thms_for_types ((wrap_ress, ctrss, unfolds, corecs, xsss, ysss, ctr_defss,
898aea2e7a94 started work on generation of "rel" theorems
blanchet
parents: 49518
diff changeset
   888
        unfold_defs, corec_defs), lthy) =
898aea2e7a94 started work on generation of "rel" theorems
blanchet
parents: 49518
diff changeset
   889
      let
898aea2e7a94 started work on generation of "rel" theorems
blanchet
parents: 49518
diff changeset
   890
        val selsss = map #2 wrap_ress;
898aea2e7a94 started work on generation of "rel" theorems
blanchet
parents: 49518
diff changeset
   891
898aea2e7a94 started work on generation of "rel" theorems
blanchet
parents: 49518
diff changeset
   892
        val theta_Ts =  [] (*###*)
898aea2e7a94 started work on generation of "rel" theorems
blanchet
parents: 49518
diff changeset
   893
898aea2e7a94 started work on generation of "rel" theorems
blanchet
parents: 49518
diff changeset
   894
        val (thetas, _) =
898aea2e7a94 started work on generation of "rel" theorems
blanchet
parents: 49518
diff changeset
   895
          lthy
898aea2e7a94 started work on generation of "rel" theorems
blanchet
parents: 49518
diff changeset
   896
          |> mk_Frees "Q" (map mk_pred1T theta_Ts);
898aea2e7a94 started work on generation of "rel" theorems
blanchet
parents: 49518
diff changeset
   897
898aea2e7a94 started work on generation of "rel" theorems
blanchet
parents: 49518
diff changeset
   898
        val (rel_thmss, rel_thmsss) =
898aea2e7a94 started work on generation of "rel" theorems
blanchet
parents: 49518
diff changeset
   899
          let
898aea2e7a94 started work on generation of "rel" theorems
blanchet
parents: 49518
diff changeset
   900
            val xctrss = map2 (map2 (curry Term.list_comb)) ctrss xsss;
898aea2e7a94 started work on generation of "rel" theorems
blanchet
parents: 49518
diff changeset
   901
            val yctrss = map2 (map2 (curry Term.list_comb)) ctrss ysss;
898aea2e7a94 started work on generation of "rel" theorems
blanchet
parents: 49518
diff changeset
   902
            val threls = map (fold_rev rapp thetas) rels;
898aea2e7a94 started work on generation of "rel" theorems
blanchet
parents: 49518
diff changeset
   903
898aea2e7a94 started work on generation of "rel" theorems
blanchet
parents: 49518
diff changeset
   904
            fun mk_goal threl (xctr, xs) (yctr, ys) =
898aea2e7a94 started work on generation of "rel" theorems
blanchet
parents: 49518
diff changeset
   905
              let
898aea2e7a94 started work on generation of "rel" theorems
blanchet
parents: 49518
diff changeset
   906
                val lhs = threl $ xctr $ yctr;
898aea2e7a94 started work on generation of "rel" theorems
blanchet
parents: 49518
diff changeset
   907
898aea2e7a94 started work on generation of "rel" theorems
blanchet
parents: 49518
diff changeset
   908
                (* ### fixme: lift rel *)
898aea2e7a94 started work on generation of "rel" theorems
blanchet
parents: 49518
diff changeset
   909
                fun mk_conjunct x y = HOLogic.mk_eq (x, y);
898aea2e7a94 started work on generation of "rel" theorems
blanchet
parents: 49518
diff changeset
   910
898aea2e7a94 started work on generation of "rel" theorems
blanchet
parents: 49518
diff changeset
   911
                fun mk_rhs () =
898aea2e7a94 started work on generation of "rel" theorems
blanchet
parents: 49518
diff changeset
   912
                  Library.foldr1 HOLogic.mk_conj (map2 mk_conjunct xs ys);
898aea2e7a94 started work on generation of "rel" theorems
blanchet
parents: 49518
diff changeset
   913
              in
898aea2e7a94 started work on generation of "rel" theorems
blanchet
parents: 49518
diff changeset
   914
                HOLogic.mk_Trueprop
898aea2e7a94 started work on generation of "rel" theorems
blanchet
parents: 49518
diff changeset
   915
                  (if Term.head_of xctr = Term.head_of yctr then
898aea2e7a94 started work on generation of "rel" theorems
blanchet
parents: 49518
diff changeset
   916
                     if null xs then
898aea2e7a94 started work on generation of "rel" theorems
blanchet
parents: 49518
diff changeset
   917
                       lhs
898aea2e7a94 started work on generation of "rel" theorems
blanchet
parents: 49518
diff changeset
   918
                     else
898aea2e7a94 started work on generation of "rel" theorems
blanchet
parents: 49518
diff changeset
   919
                       HOLogic.mk_eq (lhs, mk_rhs ())
898aea2e7a94 started work on generation of "rel" theorems
blanchet
parents: 49518
diff changeset
   920
                   else
898aea2e7a94 started work on generation of "rel" theorems
blanchet
parents: 49518
diff changeset
   921
                     HOLogic.mk_not lhs)
898aea2e7a94 started work on generation of "rel" theorems
blanchet
parents: 49518
diff changeset
   922
              end;
898aea2e7a94 started work on generation of "rel" theorems
blanchet
parents: 49518
diff changeset
   923
898aea2e7a94 started work on generation of "rel" theorems
blanchet
parents: 49518
diff changeset
   924
(*###*)
898aea2e7a94 started work on generation of "rel" theorems
blanchet
parents: 49518
diff changeset
   925
          (* TODO: Prove and exploit symmetry of relators to halve the number of goals. *)
898aea2e7a94 started work on generation of "rel" theorems
blanchet
parents: 49518
diff changeset
   926
          fun mk_goals threl xctrs xss yctrs yss =
898aea2e7a94 started work on generation of "rel" theorems
blanchet
parents: 49518
diff changeset
   927
            map_product (mk_goal threl) (xctrs ~~ xss) (yctrs ~~ yss);
898aea2e7a94 started work on generation of "rel" theorems
blanchet
parents: 49518
diff changeset
   928
898aea2e7a94 started work on generation of "rel" theorems
blanchet
parents: 49518
diff changeset
   929
          val goalsss = map5 mk_goals threls xctrss xsss yctrss ysss;
898aea2e7a94 started work on generation of "rel" theorems
blanchet
parents: 49518
diff changeset
   930
898aea2e7a94 started work on generation of "rel" theorems
blanchet
parents: 49518
diff changeset
   931
(*###
898aea2e7a94 started work on generation of "rel" theorems
blanchet
parents: 49518
diff changeset
   932
            val goalsss = map6 (fn threl =>
898aea2e7a94 started work on generation of "rel" theorems
blanchet
parents: 49518
diff changeset
   933
              map5 (fn xctr => fn xs => fn sels =>
898aea2e7a94 started work on generation of "rel" theorems
blanchet
parents: 49518
diff changeset
   934
                map2 (mk_goal threl xctr xs sels))) threls xctrss xsss selsss yctrss ysss;
898aea2e7a94 started work on generation of "rel" theorems
blanchet
parents: 49518
diff changeset
   935
*)
898aea2e7a94 started work on generation of "rel" theorems
blanchet
parents: 49518
diff changeset
   936
val _ = tracing ("goalsss: " ^ PolyML.makestring goalsss) (*###*)
898aea2e7a94 started work on generation of "rel" theorems
blanchet
parents: 49518
diff changeset
   937
          in
898aea2e7a94 started work on generation of "rel" theorems
blanchet
parents: 49518
diff changeset
   938
            ([], [])
898aea2e7a94 started work on generation of "rel" theorems
blanchet
parents: 49518
diff changeset
   939
          end;
898aea2e7a94 started work on generation of "rel" theorems
blanchet
parents: 49518
diff changeset
   940
898aea2e7a94 started work on generation of "rel" theorems
blanchet
parents: 49518
diff changeset
   941
        val (sel_rel_thmss, sel_rel_thmsss) =
898aea2e7a94 started work on generation of "rel" theorems
blanchet
parents: 49518
diff changeset
   942
          let
898aea2e7a94 started work on generation of "rel" theorems
blanchet
parents: 49518
diff changeset
   943
          in
898aea2e7a94 started work on generation of "rel" theorems
blanchet
parents: 49518
diff changeset
   944
            ([], [])
898aea2e7a94 started work on generation of "rel" theorems
blanchet
parents: 49518
diff changeset
   945
          end;
898aea2e7a94 started work on generation of "rel" theorems
blanchet
parents: 49518
diff changeset
   946
898aea2e7a94 started work on generation of "rel" theorems
blanchet
parents: 49518
diff changeset
   947
        val notes =
898aea2e7a94 started work on generation of "rel" theorems
blanchet
parents: 49518
diff changeset
   948
          [(* (relsN, rel_thmss, []),
898aea2e7a94 started work on generation of "rel" theorems
blanchet
parents: 49518
diff changeset
   949
           (sel_relsN, sel_rel_thmss, []) *)]
898aea2e7a94 started work on generation of "rel" theorems
blanchet
parents: 49518
diff changeset
   950
          |> maps (fn (thmN, thmss, attrs) =>
898aea2e7a94 started work on generation of "rel" theorems
blanchet
parents: 49518
diff changeset
   951
            map2 (fn b => fn thms =>
898aea2e7a94 started work on generation of "rel" theorems
blanchet
parents: 49518
diff changeset
   952
                ((Binding.qualify true (Binding.name_of b) (Binding.name thmN), attrs),
898aea2e7a94 started work on generation of "rel" theorems
blanchet
parents: 49518
diff changeset
   953
              [(thms, [])])) fp_bs thmss);
898aea2e7a94 started work on generation of "rel" theorems
blanchet
parents: 49518
diff changeset
   954
      in
898aea2e7a94 started work on generation of "rel" theorems
blanchet
parents: 49518
diff changeset
   955
        lthy |> Local_Theory.notes notes |> snd
898aea2e7a94 started work on generation of "rel" theorems
blanchet
parents: 49518
diff changeset
   956
      end;
49287
ebe2a5cec4bf allow defaults for one datatype to involve the constructor of another one in the mutually recursive case
blanchet
parents: 49286
diff changeset
   957
49204
0b735fb2602e generate iter/rec goals
blanchet
parents: 49203
diff changeset
   958
    val lthy' = lthy
49504
df9b897fb254 renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents: 49502
diff changeset
   959
      |> fold_map define_ctrs_case_for_type (fp_bs ~~ fpTs ~~ Cs ~~ ctors ~~ dtors ~~ fp_folds ~~
49501
acc9635a644a renamed "fld"/"unf" to "ctor"/"dtor"
blanchet
parents: 49498
diff changeset
   960
        fp_recs ~~ ctor_dtors ~~ dtor_ctors ~~ ctor_injects ~~ ns ~~ kss ~~ mss ~~ ctr_bindingss ~~
49370
be6e749fd003 fixed variable exporting problem
blanchet
parents: 49368
diff changeset
   961
        ctr_mixfixess ~~ ctr_Tsss ~~ disc_bindingss ~~ sel_bindingsss ~~ raw_sel_defaultsss)
49504
df9b897fb254 renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents: 49502
diff changeset
   962
      |>> split_list |> wrap_types_and_define_rec_likes
49518
b377da40244b renamed LFP low-level rel property to have ctor not dtor in its name
blanchet
parents: 49510
diff changeset
   963
      |> `(if lfp then derive_induct_fold_rec_thms_for_types
b377da40244b renamed LFP low-level rel property to have ctor not dtor in its name
blanchet
parents: 49510
diff changeset
   964
           else derive_coinduct_unfold_corec_thms_for_types)
b377da40244b renamed LFP low-level rel property to have ctor not dtor in its name
blanchet
parents: 49510
diff changeset
   965
      |> swap |>> fst
49536
898aea2e7a94 started work on generation of "rel" theorems
blanchet
parents: 49518
diff changeset
   966
      |> (if null rels then snd else derive_rel_thms_for_types);
49167
68623861e0f2 print timing information
blanchet
parents: 49165
diff changeset
   967
68623861e0f2 print timing information
blanchet
parents: 49165
diff changeset
   968
    val timer = time (timer ("Constructors, discriminators, selectors, etc., for the new " ^
49208
blanchet
parents: 49207
diff changeset
   969
      (if lfp then "" else "co") ^ "datatype"));
49112
4de4635d8f93 started work on sugared "(co)data" commands
blanchet
parents:
diff changeset
   970
  in
49308
6190b701e4f4 reorganized dependencies so that the sugar does not depend on GFP -- this will be essential for bootstrapping
blanchet
parents: 49302
diff changeset
   971
    timer; lthy'
49112
4de4635d8f93 started work on sugared "(co)data" commands
blanchet
parents:
diff changeset
   972
  end;
4de4635d8f93 started work on sugared "(co)data" commands
blanchet
parents:
diff changeset
   973
49536
898aea2e7a94 started work on generation of "rel" theorems
blanchet
parents: 49518
diff changeset
   974
val datatypes = define_datatypes (K I) (K I) (K I);
49297
47fbf2e3e89c provide a programmatic interface for FP sugar
blanchet
parents: 49287
diff changeset
   975
49536
898aea2e7a94 started work on generation of "rel" theorems
blanchet
parents: 49518
diff changeset
   976
val datatype_cmd = define_datatypes Typedecl.read_constraint Syntax.parse_typ Syntax.read_term;
49119
1f605c36869c more work on FP sugar
blanchet
parents: 49112
diff changeset
   977
49112
4de4635d8f93 started work on sugared "(co)data" commands
blanchet
parents:
diff changeset
   978
val parse_ctr_arg =
49329
82452dc63ed5 desambiguate grammar (e.g. for Nil's mixfix ("[]"))
blanchet
parents: 49311
diff changeset
   979
  @{keyword "("} |-- parse_binding_colon -- Parse.typ --| @{keyword ")"} ||
49434
433dc7e028c8 separated registration of BNFs from bnf_def (BNFs are now stored only for bnf_def and (co)data commands)
traytel
parents: 49429
diff changeset
   980
  (Parse.typ >> pair Binding.empty);
49112
4de4635d8f93 started work on sugared "(co)data" commands
blanchet
parents:
diff changeset
   981
49286
dde4967c9233 added "defaults" option
blanchet
parents: 49280
diff changeset
   982
val parse_defaults =
dde4967c9233 added "defaults" option
blanchet
parents: 49280
diff changeset
   983
  @{keyword "("} |-- @{keyword "defaults"} |-- Scan.repeat parse_bound_term --| @{keyword ")"};
dde4967c9233 added "defaults" option
blanchet
parents: 49280
diff changeset
   984
49112
4de4635d8f93 started work on sugared "(co)data" commands
blanchet
parents:
diff changeset
   985
val parse_single_spec =
4de4635d8f93 started work on sugared "(co)data" commands
blanchet
parents:
diff changeset
   986
  Parse.type_args_constrained -- Parse.binding -- Parse.opt_mixfix --
49119
1f605c36869c more work on FP sugar
blanchet
parents: 49112
diff changeset
   987
  (@{keyword "="} |-- Parse.enum1 "|" (parse_opt_binding_colon -- Parse.binding --
49286
dde4967c9233 added "defaults" option
blanchet
parents: 49280
diff changeset
   988
    Scan.repeat parse_ctr_arg -- Scan.optional parse_defaults [] -- Parse.opt_mixfix));
49112
4de4635d8f93 started work on sugared "(co)data" commands
blanchet
parents:
diff changeset
   989
49278
718e4ad1517e added no_dests option
blanchet
parents: 49277
diff changeset
   990
val parse_datatype = parse_wrap_options -- Parse.and_list1 parse_single_spec;
718e4ad1517e added no_dests option
blanchet
parents: 49277
diff changeset
   991
49308
6190b701e4f4 reorganized dependencies so that the sugar does not depend on GFP -- this will be essential for bootstrapping
blanchet
parents: 49302
diff changeset
   992
fun parse_datatype_cmd lfp construct = parse_datatype >> datatype_cmd lfp construct;
49112
4de4635d8f93 started work on sugared "(co)data" commands
blanchet
parents:
diff changeset
   993
4de4635d8f93 started work on sugared "(co)data" commands
blanchet
parents:
diff changeset
   994
end;