src/HOL/BNF/Tools/bnf_fp_def_sugar.ML
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(*  Title:      HOL/BNF/Tools/bnf_fp_def_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_DEF_SUGAR =
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sig
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  val derive_induct_fold_rec_thms_for_types: int -> BNF_Def.BNF list -> thm -> thm list ->
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    thm list -> BNF_Def.BNF list -> BNF_Def.BNF list -> typ list -> typ list ->
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    typ list list list -> int list list -> int list -> term list list -> term list list ->
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    term list list -> term list list list -> thm list list -> term list -> term list -> thm list ->
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    thm list -> Proof.context ->
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    (thm * thm list * Args.src list) * (thm list list * Args.src list)
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      * (thm list list * Args.src list)
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  val derive_coinduct_unfold_corec_thms_for_types: Proof.context -> Proof.context -> int ->
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    BNF_Def.BNF list -> thm -> thm -> thm list -> thm list -> thm list -> BNF_Def.BNF list ->
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    BNF_Def.BNF list -> typ list -> typ list -> typ list -> int list list -> int list list ->
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    int list -> term list -> term list list -> term list list -> term list list list list ->
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    term list list list list -> term list list -> term list list list list ->
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    term list list list list -> term list list -> thm list list ->
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    (term list * term list list * thm * 'a * 'b * 'c * thm list list * thm list
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       * thm list list) list ->
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    term list -> term list -> thm list -> thm list -> Proof.context ->
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    (thm * thm list * thm * thm list * Args.src list) * (thm list list * thm list list * 'e list)
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    * (thm list list * thm list list) * (thm list list * thm list list * Args.src list)
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    * (thm list list * thm list list * Args.src list) *
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    (thm list list * thm list list * Args.src list)
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  val datatypes: bool ->
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    (mixfix list -> (string * sort) list option -> binding list -> binding list -> binding list ->
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      binding list list -> typ list * typ list list -> BNF_Def.BNF list -> local_theory ->
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      BNF_FP.fp_result * local_theory) ->
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    (bool * bool) * (((((binding * (typ * sort)) list * binding) * (binding * binding)) * mixfix) *
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      ((((binding * binding) * (binding * typ) list) * (binding * term) list) *
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        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 -> binding list -> binding list ->
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      binding list list -> typ list * typ list list -> BNF_Def.BNF list -> local_theory ->
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      BNF_FP.fp_result * local_theory) ->
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    (local_theory -> local_theory) parser
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end;
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structure BNF_FP_Def_Sugar : BNF_FP_DEF_SUGAR =
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struct
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open BNF_Util
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open BNF_Ctr_Sugar
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open BNF_Def
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open BNF_FP
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open BNF_FP_Def_Sugar_Tactics
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val EqN = "Eq_";
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(* This function could produce clashes in contrived examples (e.g., "x.A", "x.x_A", "y.A"). *)
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fun quasi_unambiguous_case_names names =
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  let
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    val ps = map (`Long_Name.base_name) names;
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    val dups = Library.duplicates (op =) (map fst ps);
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    fun underscore s =
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      let val ss = space_explode Long_Name.separator s in
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        space_implode "_" (drop (length ss - 2) ss)
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      end;
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  in
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    map (fn (base, full) => if member (op =) dups base then underscore full else base) ps
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  end;
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val mp_conj = @{thm mp_conj};
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val simp_attrs = @{attributes [simp]};
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val code_simp_attrs = Code.add_default_eqn_attrib :: simp_attrs;
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fun split_list4 [] = ([], [], [], [])
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  | split_list4 ((x1, x2, x3, x4) :: xs) =
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    let val (xs1, xs2, xs3, xs4) = split_list4 xs;
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    in (x1 :: xs1, x2 :: xs2, x3 :: xs3, x4 :: xs4) end;
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fun add_components_of_typ (Type (s, Ts)) =
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    fold add_components_of_typ Ts
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    #> cons s
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  | add_components_of_typ _ = I;
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fun name_of_typ T = space_implode "_" (add_components_of_typ T []);
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fun exists_subtype_in Ts = exists_subtype (member (op =) Ts);
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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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fun variant_types ss Ss ctxt =
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  let
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    val (tfrees, _) =
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      fold_map2 (fn s => fn S => Name.variant s #> apfst (rpair S)) ss Ss (Variable.names_of ctxt);
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    val ctxt' = fold (Variable.declare_constraints o Logic.mk_type o TFree) tfrees ctxt;
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  in (tfrees, ctxt') end;
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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 flat_rec unzipf xs =
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  let val ps = map unzipf xs in
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    (* The first line below gives the preferred order. The second line is for compatibility with the
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       old datatype package: *)
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(*
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    maps (op @) ps
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*)
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    maps fst ps @ maps snd ps
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  end;
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fun mk_flip (x, Type (_, [T1, Type (_, [T2, T3])])) =
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  Abs ("x", T1, Abs ("y", T2, Var (x, T2 --> T1 --> T3) $ Bound 0 $ Bound 1));
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fun flip_rels lthy n thm =
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  let
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    val Rs = Term.add_vars (prop_of thm) [];
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    val Rs' = rev (drop (length Rs - n) Rs);
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    val cRs = map (fn f => (certify lthy (Var f), certify lthy (mk_flip f))) Rs';
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  in
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    Drule.cterm_instantiate cRs thm
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  end;
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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 live Ts Us t =
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  let val [Type (_, Ts0), Type (_, Us0)] = binder_types (snd (strip_typeN live (fastype_of t))) in
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    Term.subst_atomic_types (Ts0 @ Us0 ~~ Ts @ Us) t
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  end;
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fun liveness_of_fp_bnf n bnf =
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  (case T_of_bnf bnf of
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    Type (_, Ts) => map (not o member (op =) (deads_of_bnf bnf)) Ts
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  | _ => replicate n false);
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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 reassoc_conjs thm =
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  reassoc_conjs (thm RS @{thm conj_assoc[THEN iffD1]})
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  handle THM _ => thm;
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fun type_args_named_constrained_of ((((ncAs, _), _), _), _) = ncAs;
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fun type_binding_of ((((_, b), _), _), _) = b;
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fun map_binding_of (((_, (b, _)), _), _) = b;
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fun rel_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 build_map lthy build_arg (Type (s, Ts)) (Type (_, Us)) =
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  let
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    val bnf = the (bnf_of lthy s);
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    val live = live_of_bnf bnf;
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    val mapx = mk_map live Ts Us (map_of_bnf bnf);
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    val TUs' = map dest_funT (fst (strip_typeN live (fastype_of mapx)));
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  in Term.list_comb (mapx, map build_arg TUs') end;
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fun build_rel_step lthy build_arg (Type (s, Ts)) =
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  let
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    val bnf = the (bnf_of lthy s);
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    val live = live_of_bnf bnf;
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    val rel = mk_rel live Ts Ts (rel_of_bnf bnf);
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    val Ts' = map domain_type (fst (strip_typeN live (fastype_of rel)));
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  in Term.list_comb (rel, map build_arg Ts') end;
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fun derive_induct_fold_rec_thms_for_types nn pre_bnfs fp_induct fp_fold_thms fp_rec_thms
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    nesting_bnfs nested_bnfs fpTs Cs ctr_Tsss mss ns gss hss ctrss xsss ctr_defss folds recs
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    fold_defs rec_defs lthy =
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  let
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    val pre_map_defs = map map_def_of_bnf pre_bnfs;
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    val pre_set_defss = map set_defs_of_bnf pre_bnfs;
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    val nested_map_comp's = map map_comp'_of_bnf nested_bnfs;
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    val nested_map_ids'' = map (unfold_thms lthy @{thms id_def} o map_id_of_bnf) nested_bnfs;
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    val nested_set_map's = maps set_map'_of_bnf nested_bnfs;
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    val nesting_map_ids'' = map (unfold_thms lthy @{thms id_def} o map_id_of_bnf) nesting_bnfs;
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    val fp_T_names = map name_of_typ fpTs;
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    val (((ps, ps'), us'), names_lthy) =
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      lthy
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      |> mk_Frees' "P" (map mk_pred1T fpTs)
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      ||>> Variable.variant_fixes fp_T_names;
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    val us = map2 (curry Free) us' fpTs;
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    fun mk_sets_nested bnf =
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      let
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        val Type (T_name, Us) = T_of_bnf bnf;
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        val lives = lives_of_bnf bnf;
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        val sets = sets_of_bnf bnf;
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        fun mk_set U =
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          (case find_index (curry (op =) U) lives of
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            ~1 => Term.dummy
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          | i => nth sets i);
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      in
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        (T_name, map mk_set Us)
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      end;
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    val setss_nested = map mk_sets_nested nested_bnfs;
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    val (induct_thms, induct_thm) =
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      let
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        fun mk_set Ts t =
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          let val Type (_, Ts0) = domain_type (fastype_of t) in
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            Term.subst_atomic_types (Ts0 ~~ Ts) t
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          end;
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        fun mk_raw_prem_prems names_lthy (x as Free (s, T as Type (T_name, Ts0))) =
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            (case find_index (curry (op =) T) fpTs of
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              ~1 =>
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              (case AList.lookup (op =) setss_nested T_name of
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                NONE => []
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              | SOME raw_sets0 =>
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                let
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                  val (Ts, raw_sets) =
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                    split_list (filter (exists_subtype_in fpTs o fst) (Ts0 ~~ raw_sets0));
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                  val sets = map (mk_set Ts0) raw_sets;
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                  val (ys, names_lthy') = names_lthy |> mk_Frees s Ts;
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                  val xysets = map (pair x) (ys ~~ sets);
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                  val ppremss = map (mk_raw_prem_prems names_lthy') ys;
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                in
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                  flat (map2 (map o apfst o cons) xysets ppremss)
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                end)
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            | kk => [([], (kk + 1, x))])
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          | mk_raw_prem_prems _ _ = [];
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        fun close_prem_prem xs t =
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          fold_rev Logic.all (map Free (drop (nn + length xs)
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            (rev (Term.add_frees t (map dest_Free xs @ ps'))))) t;
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        fun mk_prem_prem xs (xysets, (j, x)) =
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          close_prem_prem xs (Logic.list_implies (map (fn (x', (y, set)) =>
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              HOLogic.mk_Trueprop (HOLogic.mk_mem (y, set $ x'))) xysets,
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            HOLogic.mk_Trueprop (nth ps (j - 1) $ x)));
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        fun mk_raw_prem phi ctr ctr_Ts =
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          let
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            val (xs, names_lthy') = names_lthy |> mk_Frees "x" ctr_Ts;
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            val pprems = maps (mk_raw_prem_prems names_lthy') xs;
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          in (xs, pprems, HOLogic.mk_Trueprop (phi $ Term.list_comb (ctr, xs))) end;
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        fun mk_prem (xs, raw_pprems, concl) =
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          fold_rev Logic.all xs (Logic.list_implies (map (mk_prem_prem xs) raw_pprems, concl));
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        val raw_premss = map3 (map2 o mk_raw_prem) ps ctrss ctr_Tsss;
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        val goal =
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          Library.foldr (Logic.list_implies o apfst (map mk_prem)) (raw_premss,
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            HOLogic.mk_Trueprop (Library.foldr1 HOLogic.mk_conj (map2 (curry (op $)) ps us)));
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        val kksss = map (map (map (fst o snd) o #2)) raw_premss;
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        val ctor_induct' = fp_induct OF (map mk_sumEN_tupled_balanced mss);
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        val thm =
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          Goal.prove_sorry lthy [] [] goal (fn {context = ctxt, ...} =>
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            mk_induct_tac ctxt nn ns mss kksss (flat ctr_defss) ctor_induct' nested_set_map's
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              pre_set_defss)
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          |> singleton (Proof_Context.export names_lthy lthy)
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          |> Thm.close_derivation;
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      in
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        `(conj_dests nn) thm
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      end;
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    val induct_cases = quasi_unambiguous_case_names (maps (map name_of_ctr) ctrss);
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    val (fold_thmss, rec_thmss) =
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      let
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        val xctrss = map2 (map2 (curry Term.list_comb)) ctrss xsss;
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        val gfolds = map (lists_bmoc gss) folds;
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        val hrecs = map (lists_bmoc hss) recs;
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        fun mk_goal fss frec_like xctr f xs fxs =
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          fold_rev (fold_rev Logic.all) (xs :: fss)
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            (mk_Trueprop_eq (frec_like $ xctr, Term.list_comb (f, fxs)));
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        fun build_rec_like frec_likes (T, U) =
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          if T = U then
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            id_const T
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          else
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            (case find_index (curry (op =) T) fpTs of
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              ~1 => build_map lthy (build_rec_like frec_likes) T U
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            | kk => nth frec_likes kk);
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        val mk_U = typ_subst (map2 pair fpTs Cs);
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        fun unzip_rec_likes frec_likes combine (x as Free (_, T)) =
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          if exists_subtype_in fpTs T then
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            combine (x, build_rec_like frec_likes (T, mk_U T) $ x)
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          else
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            ([x], []);
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        val gxsss = map (map (flat_rec (unzip_rec_likes gfolds (fn (_, t) => ([t], []))))) xsss;
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        val hxsss = map (map (flat_rec (unzip_rec_likes hrecs (pairself single)))) xsss;
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        val fold_goalss = map5 (map4 o mk_goal gss) gfolds xctrss gss xsss gxsss;
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        val rec_goalss = map5 (map4 o mk_goal hss) hrecs xctrss hss xsss hxsss;
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        val fold_tacss =
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          map2 (map o mk_rec_like_tac pre_map_defs [] nesting_map_ids'' fold_defs) fp_fold_thms
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            ctr_defss;
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        val rec_tacss =
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          map2 (map o mk_rec_like_tac pre_map_defs nested_map_comp's
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            (nested_map_ids'' @ nesting_map_ids'') rec_defs) fp_rec_thms ctr_defss;
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        fun prove goal tac =
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          Goal.prove_sorry lthy [] [] goal (tac o #context)
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          |> Thm.close_derivation;
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      in
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        (map2 (map2 prove) fold_goalss fold_tacss, map2 (map2 prove) rec_goalss rec_tacss)
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      end;
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    val induct_case_names_attr = Attrib.internal (K (Rule_Cases.case_names induct_cases));
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  in
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    ((induct_thm, induct_thms, [induct_case_names_attr]),
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     (fold_thmss, code_simp_attrs), (rec_thmss, code_simp_attrs))
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  end;
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fun derive_coinduct_unfold_corec_thms_for_types names_lthy0 no_defs_lthy nn pre_bnfs fp_induct
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    fp_strong_induct dtor_ctors fp_fold_thms fp_rec_thms nesting_bnfs nested_bnfs fpTs Cs As kss mss
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    ns cs cpss pgss crssss cgssss phss csssss chssss ctrss ctr_defss ctr_wrap_ress unfolds corecs
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    unfold_defs corec_defs lthy =
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  let
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    val pre_map_defs = map map_def_of_bnf pre_bnfs;
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    val pre_rel_defs = map rel_def_of_bnf pre_bnfs;
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    val nested_map_comp's = map map_comp'_of_bnf nested_bnfs;
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    val nested_map_comps'' = map ((fn thm => thm RS sym) o map_comp_of_bnf) nested_bnfs;
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    val nested_map_ids'' = map (unfold_thms lthy @{thms id_def} o map_id_of_bnf) nested_bnfs;
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    val nesting_map_ids'' = map (unfold_thms lthy @{thms id_def} o map_id_of_bnf) nesting_bnfs;
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    val nesting_rel_eqs = map rel_eq_of_bnf nesting_bnfs;
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    val fp_T_names = map name_of_typ fpTs;
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    val discss = map (map (mk_disc_or_sel As) o #1) ctr_wrap_ress;
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    val selsss = map (map (map (mk_disc_or_sel As)) o #2) ctr_wrap_ress;
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    val exhaust_thms = map #3 ctr_wrap_ress;
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    val disc_thmsss = map #7 ctr_wrap_ress;
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    val discIss = map #8 ctr_wrap_ress;
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    val sel_thmsss = map #9 ctr_wrap_ress;
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    val (((rs, us'), vs'), names_lthy) =
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      lthy
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      |> mk_Frees "R" (map (fn T => mk_pred2T T T) fpTs)
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      ||>> Variable.variant_fixes fp_T_names
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      ||>> Variable.variant_fixes (map (suffix "'") fp_T_names);
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    val us = map2 (curry Free) us' fpTs;
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    val udiscss = map2 (map o rapp) us discss;
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    val uselsss = map2 (map o map o rapp) us selsss;
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    val vs = map2 (curry Free) vs' fpTs;
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    val vdiscss = map2 (map o rapp) vs discss;
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    val vselsss = map2 (map o map o rapp) vs selsss;
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    val ((coinduct_thms, coinduct_thm), (strong_coinduct_thms, strong_coinduct_thm)) =
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      let
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        val uvrs = map3 (fn r => fn u => fn v => r $ u $ v) rs us vs;
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        val uv_eqs = map2 (curry HOLogic.mk_eq) us vs;
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        val strong_rs =
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          map4 (fn u => fn v => fn uvr => fn uv_eq =>
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            fold_rev Term.lambda [u, v] (HOLogic.mk_disj (uvr, uv_eq))) us vs uvrs uv_eqs;
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        fun build_rel rs' T =
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          (case find_index (curry (op =) T) fpTs of
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            ~1 =>
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diff changeset
   403
            if exists_subtype_in fpTs T then build_rel_step lthy (build_rel rs') T
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   404
            else HOLogic.eq_const T
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   405
          | kk => nth rs' kk);
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   406
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   407
        fun build_rel_app rs' usel vsel =
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   408
          fold rapp [usel, vsel] (build_rel rs' (fastype_of usel));
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   409
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   410
        fun mk_prem_ctr_concls rs' n k udisc usels vdisc vsels =
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   411
          (if k = n then [] else [HOLogic.mk_eq (udisc, vdisc)]) @
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   412
          (if null usels then
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   413
             []
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   414
           else
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   415
             [Library.foldr HOLogic.mk_imp (if n = 1 then [] else [udisc, vdisc],
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   416
                Library.foldr1 HOLogic.mk_conj (map2 (build_rel_app rs') usels vsels))]);
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   417
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   418
        fun mk_prem_concl rs' n udiscs uselss vdiscs vselss =
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   419
          Library.foldr1 HOLogic.mk_conj
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   420
            (flat (map5 (mk_prem_ctr_concls rs' n) (1 upto n) udiscs uselss vdiscs vselss))
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   421
          handle List.Empty => @{term True};
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   422
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   423
        fun mk_prem rs' uvr u v n udiscs uselss vdiscs vselss =
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   424
          fold_rev Logic.all [u, v] (Logic.mk_implies (HOLogic.mk_Trueprop uvr,
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   425
            HOLogic.mk_Trueprop (mk_prem_concl rs' n udiscs uselss vdiscs vselss)));
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   426
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   427
        val concl =
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   428
          HOLogic.mk_Trueprop (Library.foldr1 HOLogic.mk_conj
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   429
            (map3 (fn uvr => fn u => fn v => HOLogic.mk_imp (uvr, HOLogic.mk_eq (u, v)))
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   430
               uvrs us vs));
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   431
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   432
        fun mk_goal rs' =
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   433
          Logic.list_implies (map8 (mk_prem rs') uvrs us vs ns udiscss uselsss vdiscss vselsss,
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   434
            concl);
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   435
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   436
        val goal = mk_goal rs;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   437
        val strong_goal = mk_goal strong_rs;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   438
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   439
        fun prove dtor_coinduct' goal =
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   440
          Goal.prove_sorry lthy [] [] goal (fn {context = ctxt, ...} =>
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   441
            mk_coinduct_tac ctxt nesting_rel_eqs nn ns dtor_coinduct' pre_rel_defs dtor_ctors
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   442
              exhaust_thms ctr_defss disc_thmsss sel_thmsss)
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   443
          |> singleton (Proof_Context.export names_lthy lthy)
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   444
          |> Thm.close_derivation;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   445
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   446
        fun postproc nn thm =
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   447
          Thm.permute_prems 0 nn
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   448
            (if nn = 1 then thm RS mp
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   449
             else funpow nn (fn thm => reassoc_conjs (thm RS mp_conj)) thm)
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   450
          |> Drule.zero_var_indexes
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   451
          |> `(conj_dests nn);
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   452
      in
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   453
        (postproc nn (prove fp_induct goal), postproc nn (prove fp_strong_induct strong_goal))
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   454
      end;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   455
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   456
    fun mk_coinduct_concls ms discs ctrs =
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   457
      let
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   458
        fun mk_disc_concl disc = [name_of_disc disc];
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   459
        fun mk_ctr_concl 0 _ = []
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   460
          | mk_ctr_concl _ ctor = [name_of_ctr ctor];
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   461
        val disc_concls = map mk_disc_concl (fst (split_last discs)) @ [[]];
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   462
        val ctr_concls = map2 mk_ctr_concl ms ctrs;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   463
      in
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   464
        flat (map2 append disc_concls ctr_concls)
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   465
      end;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   466
51811
1461426e2bf1 tuned function signatures
blanchet
parents: 51810
diff changeset
   467
    val coinduct_cases = quasi_unambiguous_case_names (map (prefix EqN) fp_T_names);
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   468
    val coinduct_conclss =
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   469
      map3 (quasi_unambiguous_case_names ooo mk_coinduct_concls) mss discss ctrss;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   470
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   471
    fun mk_maybe_not pos = not pos ? HOLogic.mk_not;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   472
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   473
    val gunfolds = map (lists_bmoc pgss) unfolds;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   474
    val hcorecs = map (lists_bmoc phss) corecs;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   475
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   476
    val (unfold_thmss, corec_thmss, safe_unfold_thmss, safe_corec_thmss) =
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   477
      let
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   478
        fun mk_goal pfss c cps fcorec_like n k ctr m cfs' =
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   479
          fold_rev (fold_rev Logic.all) ([c] :: pfss)
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   480
            (Logic.list_implies (seq_conds (HOLogic.mk_Trueprop oo mk_maybe_not) n k cps,
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   481
               mk_Trueprop_eq (fcorec_like $ c, Term.list_comb (ctr, take m cfs'))));
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   482
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   483
        fun build_corec_like fcorec_likes (T, U) =
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   484
          if T = U then
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   485
            id_const T
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   486
          else
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   487
            (case find_index (curry (op =) U) fpTs of
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   488
              ~1 => build_map lthy (build_corec_like fcorec_likes) T U
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   489
            | kk => nth fcorec_likes kk);
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   490
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   491
        val mk_U = typ_subst (map2 pair Cs fpTs);
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   492
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   493
        fun intr_corec_likes fcorec_likes [] [cf] =
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   494
            let val T = fastype_of cf in
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   495
              if exists_subtype_in Cs T then build_corec_like fcorec_likes (T, mk_U T) $ cf
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   496
              else cf
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   497
            end
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   498
          | intr_corec_likes fcorec_likes [cq] [cf, cf'] =
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   499
            mk_If cq (intr_corec_likes fcorec_likes [] [cf])
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   500
              (intr_corec_likes fcorec_likes [] [cf']);
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   501
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   502
        val crgsss = map2 (map2 (map2 (intr_corec_likes gunfolds))) crssss cgssss;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   503
        val cshsss = map2 (map2 (map2 (intr_corec_likes hcorecs))) csssss chssss;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   504
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   505
        val unfold_goalss =
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   506
          map8 (map4 oooo mk_goal pgss) cs cpss gunfolds ns kss ctrss mss crgsss;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   507
        val corec_goalss =
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   508
          map8 (map4 oooo mk_goal phss) cs cpss hcorecs ns kss ctrss mss cshsss;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   509
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   510
        fun mk_map_if_distrib bnf =
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   511
          let
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   512
            val mapx = map_of_bnf bnf;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   513
            val live = live_of_bnf bnf;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   514
            val ((Ts, T), U) = strip_typeN (live + 1) (fastype_of mapx) |>> split_last;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   515
            val fs = Variable.variant_frees lthy [mapx] (map (pair "f") Ts);
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   516
            val t = Term.list_comb (mapx, map (Var o apfst (rpair 0)) fs);
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   517
          in
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   518
            Drule.instantiate' (map (SOME o certifyT lthy) [U, T]) [SOME (certify lthy t)]
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   519
              @{thm if_distrib}
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   520
          end;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   521
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   522
        val nested_map_if_distribs = map mk_map_if_distrib nested_bnfs;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   523
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   524
        val unfold_tacss =
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   525
          map3 (map oo mk_corec_like_tac unfold_defs [] [] nesting_map_ids'' [])
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   526
            fp_fold_thms pre_map_defs ctr_defss;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   527
        val corec_tacss =
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   528
          map3 (map oo mk_corec_like_tac corec_defs nested_map_comps'' nested_map_comp's
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   529
              (nested_map_ids'' @ nesting_map_ids'') nested_map_if_distribs)
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   530
            fp_rec_thms pre_map_defs ctr_defss;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   531
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   532
        fun prove goal tac =
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   533
          Goal.prove_sorry lthy [] [] goal (tac o #context) |> Thm.close_derivation;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   534
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   535
        val unfold_thmss = map2 (map2 prove) unfold_goalss unfold_tacss;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   536
        val corec_thmss = map2 (map2 prove) corec_goalss corec_tacss;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   537
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   538
        val filter_safesss =
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   539
          map2 (map_filter (fn (safes, thm) => if forall I safes then SOME thm else NONE) oo
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   540
            curry (op ~~)) (map2 (map2 (map2 (member (op =)))) cgssss crgsss);
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   541
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   542
        val safe_unfold_thmss = filter_safesss unfold_thmss;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   543
        val safe_corec_thmss = filter_safesss corec_thmss;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   544
      in
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   545
        (unfold_thmss, corec_thmss, safe_unfold_thmss, safe_corec_thmss)
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   546
      end;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   547
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   548
    val (disc_unfold_iff_thmss, disc_corec_iff_thmss) =
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   549
      let
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   550
        fun mk_goal c cps fcorec_like n k disc =
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   551
          mk_Trueprop_eq (disc $ (fcorec_like $ c),
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   552
            if n = 1 then @{const True}
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   553
            else Library.foldr1 HOLogic.mk_conj (seq_conds mk_maybe_not n k cps));
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   554
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   555
        val unfold_goalss = map6 (map2 oooo mk_goal) cs cpss gunfolds ns kss discss;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   556
        val corec_goalss = map6 (map2 oooo mk_goal) cs cpss hcorecs ns kss discss;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   557
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   558
        fun mk_case_split' cp =
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   559
          Drule.instantiate' [] [SOME (certify lthy cp)] @{thm case_split};
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   560
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   561
        val case_splitss' = map (map mk_case_split') cpss;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   562
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   563
        val unfold_tacss =
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   564
          map3 (map oo mk_disc_corec_like_iff_tac) case_splitss' unfold_thmss disc_thmsss;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   565
        val corec_tacss =
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   566
          map3 (map oo mk_disc_corec_like_iff_tac) case_splitss' corec_thmss disc_thmsss;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   567
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   568
        fun prove goal tac =
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   569
          Goal.prove_sorry lthy [] [] goal (tac o #context)
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   570
          |> singleton (Proof_Context.export names_lthy0 no_defs_lthy)
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   571
          |> Thm.close_derivation;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   572
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   573
        fun proves [_] [_] = []
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   574
          | proves goals tacs = map2 prove goals tacs;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   575
      in
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   576
        (map2 proves unfold_goalss unfold_tacss,
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   577
         map2 proves corec_goalss corec_tacss)
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   578
      end;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   579
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   580
    val is_triv_discI = is_triv_implies orf is_concl_refl;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   581
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   582
    fun mk_disc_corec_like_thms corec_likes discIs =
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   583
      map (op RS) (filter_out (is_triv_discI o snd) (corec_likes ~~ discIs));
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   584
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   585
    val disc_unfold_thmss = map2 mk_disc_corec_like_thms unfold_thmss discIss;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   586
    val disc_corec_thmss = map2 mk_disc_corec_like_thms corec_thmss discIss;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   587
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   588
    fun mk_sel_corec_like_thm corec_like_thm sel sel_thm =
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   589
      let
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   590
        val (domT, ranT) = dest_funT (fastype_of sel);
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   591
        val arg_cong' =
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   592
          Drule.instantiate' (map (SOME o certifyT lthy) [domT, ranT])
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   593
            [NONE, NONE, SOME (certify lthy sel)] arg_cong
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   594
          |> Thm.varifyT_global;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   595
        val sel_thm' = sel_thm RSN (2, trans);
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   596
      in
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   597
        corec_like_thm RS arg_cong' RS sel_thm'
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   598
      end;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   599
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   600
    fun mk_sel_corec_like_thms corec_likess =
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   601
      map3 (map3 (map2 o mk_sel_corec_like_thm)) corec_likess selsss sel_thmsss |> map flat;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   602
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   603
    val sel_unfold_thmss = mk_sel_corec_like_thms unfold_thmss;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   604
    val sel_corec_thmss = mk_sel_corec_like_thms corec_thmss;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   605
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   606
    val coinduct_consumes_attr = Attrib.internal (K (Rule_Cases.consumes nn));
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   607
    val coinduct_case_names_attr = Attrib.internal (K (Rule_Cases.case_names coinduct_cases));
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   608
    val coinduct_case_concl_attrs =
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   609
      map2 (fn casex => fn concls =>
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   610
          Attrib.internal (K (Rule_Cases.case_conclusion (casex, concls))))
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   611
        coinduct_cases coinduct_conclss;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   612
    val coinduct_case_attrs =
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   613
      coinduct_consumes_attr :: coinduct_case_names_attr :: coinduct_case_concl_attrs;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   614
  in
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   615
    ((coinduct_thm, coinduct_thms, strong_coinduct_thm, strong_coinduct_thms, coinduct_case_attrs),
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   616
     (unfold_thmss, corec_thmss, []),
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   617
     (safe_unfold_thmss, safe_corec_thmss),
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   618
     (disc_unfold_thmss, disc_corec_thmss, simp_attrs),
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   619
     (disc_unfold_iff_thmss, disc_corec_iff_thmss, simp_attrs),
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   620
     (sel_unfold_thmss, sel_corec_thmss, simp_attrs))
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   621
  end;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   622
49633
5b5450bc544c compatibility option to use "rep_datatype"
blanchet
parents: 49622
diff changeset
   623
fun define_datatypes prepare_constraint prepare_typ prepare_term lfp construct_fp
5b5450bc544c compatibility option to use "rep_datatype"
blanchet
parents: 49622
diff changeset
   624
    (wrap_opts as (no_dests, rep_compat), specs) no_defs_lthy0 =
49112
4de4635d8f93 started work on sugared "(co)data" commands
blanchet
parents:
diff changeset
   625
  let
49298
36e551d3af3b support for sort constraints in new (co)data commands
blanchet
parents: 49297
diff changeset
   626
    (* TODO: sanity checks on arguments *)
36e551d3af3b support for sort constraints in new (co)data commands
blanchet
parents: 49297
diff changeset
   627
49286
dde4967c9233 added "defaults" option
blanchet
parents: 49280
diff changeset
   628
    val _ = if not lfp andalso no_dests then error "Cannot define destructor-less codatatypes"
49278
718e4ad1517e added no_dests option
blanchet
parents: 49277
diff changeset
   629
      else ();
718e4ad1517e added no_dests option
blanchet
parents: 49277
diff changeset
   630
49633
5b5450bc544c compatibility option to use "rep_datatype"
blanchet
parents: 49622
diff changeset
   631
    fun qualify mandatory fp_b_name =
5b5450bc544c compatibility option to use "rep_datatype"
blanchet
parents: 49622
diff changeset
   632
      Binding.qualify mandatory fp_b_name o (rep_compat ? Binding.qualify false rep_compat_prefix);
5b5450bc544c compatibility option to use "rep_datatype"
blanchet
parents: 49622
diff changeset
   633
49367
blanchet
parents: 49366
diff changeset
   634
    val nn = length specs;
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
   635
    val fp_bs = map type_binding_of specs;
49498
acc583e14167 tuned variable names
blanchet
parents: 49484
diff changeset
   636
    val fp_b_names = map Binding.name_of fp_bs;
acc583e14167 tuned variable names
blanchet
parents: 49484
diff changeset
   637
    val fp_common_name = mk_common_name fp_b_names;
51758
55963309557b honor user-specified name for map function
blanchet
parents: 51757
diff changeset
   638
    val map_bs = map map_binding_of specs;
51767
bbcdd8519253 honor user-specified name for relator + generalize syntax
blanchet
parents: 51766
diff changeset
   639
    val rel_bs = map rel_binding_of specs;
49298
36e551d3af3b support for sort constraints in new (co)data commands
blanchet
parents: 49297
diff changeset
   640
51758
55963309557b honor user-specified name for map function
blanchet
parents: 51757
diff changeset
   641
    fun prepare_type_arg (_, (ty, c)) =
49298
36e551d3af3b support for sort constraints in new (co)data commands
blanchet
parents: 49297
diff changeset
   642
      let val TFree (s, _) = prepare_typ no_defs_lthy0 ty in
36e551d3af3b support for sort constraints in new (co)data commands
blanchet
parents: 49297
diff changeset
   643
        TFree (s, prepare_constraint no_defs_lthy0 c)
36e551d3af3b support for sort constraints in new (co)data commands
blanchet
parents: 49297
diff changeset
   644
      end;
36e551d3af3b support for sort constraints in new (co)data commands
blanchet
parents: 49297
diff changeset
   645
51758
55963309557b honor user-specified name for map function
blanchet
parents: 51757
diff changeset
   646
    val Ass0 = map (map prepare_type_arg o type_args_named_constrained_of) specs;
49298
36e551d3af3b support for sort constraints in new (co)data commands
blanchet
parents: 49297
diff changeset
   647
    val unsorted_Ass0 = map (map (resort_tfree HOLogic.typeS)) Ass0;
36e551d3af3b support for sort constraints in new (co)data commands
blanchet
parents: 49297
diff changeset
   648
    val unsorted_As = Library.foldr1 merge_type_args unsorted_Ass0;
51758
55963309557b honor user-specified name for map function
blanchet
parents: 51757
diff changeset
   649
    val set_bss = map (map fst o type_args_named_constrained_of) specs;
49119
1f605c36869c more work on FP sugar
blanchet
parents: 49112
diff changeset
   650
49585
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
   651
    val (((Bs0, Cs), Xs), no_defs_lthy) =
49298
36e551d3af3b support for sort constraints in new (co)data commands
blanchet
parents: 49297
diff changeset
   652
      no_defs_lthy0
36e551d3af3b support for sort constraints in new (co)data commands
blanchet
parents: 49297
diff changeset
   653
      |> fold (Variable.declare_typ o resort_tfree dummyS) unsorted_As
49585
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
   654
      |> mk_TFrees (length unsorted_As)
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
   655
      ||>> mk_TFrees nn
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
   656
      ||>> apfst (map TFree) o
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
   657
        variant_types (map (prefix "'") fp_b_names) (replicate nn HOLogic.typeS);
49119
1f605c36869c more work on FP sugar
blanchet
parents: 49112
diff changeset
   658
49298
36e551d3af3b support for sort constraints in new (co)data commands
blanchet
parents: 49297
diff changeset
   659
    (* TODO: cleaner handling of fake contexts, without "background_theory" *)
36e551d3af3b support for sort constraints in new (co)data commands
blanchet
parents: 49297
diff changeset
   660
    (*the "perhaps o try" below helps gracefully handles the case where the new type is defined in a
36e551d3af3b support for sort constraints in new (co)data commands
blanchet
parents: 49297
diff changeset
   661
      locale and shadows an existing global type*)
51768
d2a236b10796 proper error generated for wrong mixfix
blanchet
parents: 51767
diff changeset
   662
51769
5c657ca97d99 simplified code -- no need for two attempts, the error we get from mixfix the first time is good (and better to get than a parse error in the specification because the user tries to use a mixfix that silently failed)
blanchet
parents: 51768
diff changeset
   663
    fun add_fake_type spec =
51768
d2a236b10796 proper error generated for wrong mixfix
blanchet
parents: 51767
diff changeset
   664
      Sign.add_type no_defs_lthy (type_binding_of spec,
51769
5c657ca97d99 simplified code -- no need for two attempts, the error we get from mixfix the first time is good (and better to get than a parse error in the specification because the user tries to use a mixfix that silently failed)
blanchet
parents: 51768
diff changeset
   665
        length (type_args_named_constrained_of spec), mixfix_of spec);
51768
d2a236b10796 proper error generated for wrong mixfix
blanchet
parents: 51767
diff changeset
   666
51769
5c657ca97d99 simplified code -- no need for two attempts, the error we get from mixfix the first time is good (and better to get than a parse error in the specification because the user tries to use a mixfix that silently failed)
blanchet
parents: 51768
diff changeset
   667
    val fake_thy = Theory.copy #> fold add_fake_type specs;
49298
36e551d3af3b support for sort constraints in new (co)data commands
blanchet
parents: 49297
diff changeset
   668
    val fake_lthy = Proof_Context.background_theory fake_thy no_defs_lthy;
49119
1f605c36869c more work on FP sugar
blanchet
parents: 49112
diff changeset
   669
49182
b8517107ffc5 read the real types off the constant types, rather than using the fake parser types (second step of sugar localization)
blanchet
parents: 49181
diff changeset
   670
    fun mk_fake_T b =
49121
9e0acaa470ab more work on FP sugar
blanchet
parents: 49119
diff changeset
   671
      Type (fst (Term.dest_Type (Proof_Context.read_type_name fake_lthy true (Binding.name_of b))),
49298
36e551d3af3b support for sort constraints in new (co)data commands
blanchet
parents: 49297
diff changeset
   672
        unsorted_As);
49121
9e0acaa470ab more work on FP sugar
blanchet
parents: 49119
diff changeset
   673
49302
f5bd87aac224 added optional qualifiers for constructors and destructors, similarly to the old package
blanchet
parents: 49300
diff changeset
   674
    val fake_Ts = map mk_fake_T fp_bs;
49121
9e0acaa470ab more work on FP sugar
blanchet
parents: 49119
diff changeset
   675
49181
blanchet
parents: 49180
diff changeset
   676
    val mixfixes = map mixfix_of specs;
49119
1f605c36869c more work on FP sugar
blanchet
parents: 49112
diff changeset
   677
49302
f5bd87aac224 added optional qualifiers for constructors and destructors, similarly to the old package
blanchet
parents: 49300
diff changeset
   678
    val _ = (case duplicates Binding.eq_name fp_bs of [] => ()
49119
1f605c36869c more work on FP sugar
blanchet
parents: 49112
diff changeset
   679
      | b :: _ => error ("Duplicate type name declaration " ^ quote (Binding.name_of b)));
1f605c36869c more work on FP sugar
blanchet
parents: 49112
diff changeset
   680
49121
9e0acaa470ab more work on FP sugar
blanchet
parents: 49119
diff changeset
   681
    val ctr_specss = map ctr_specs_of specs;
49119
1f605c36869c more work on FP sugar
blanchet
parents: 49112
diff changeset
   682
49336
blanchet
parents: 49330
diff changeset
   683
    val disc_bindingss = map (map disc_of) ctr_specss;
blanchet
parents: 49330
diff changeset
   684
    val ctr_bindingss =
49633
5b5450bc544c compatibility option to use "rep_datatype"
blanchet
parents: 49622
diff changeset
   685
      map2 (fn fp_b_name => map (qualify false fp_b_name o ctr_of)) fp_b_names ctr_specss;
49121
9e0acaa470ab more work on FP sugar
blanchet
parents: 49119
diff changeset
   686
    val ctr_argsss = map (map args_of) ctr_specss;
49181
blanchet
parents: 49180
diff changeset
   687
    val ctr_mixfixess = map (map ctr_mixfix_of) ctr_specss;
49119
1f605c36869c more work on FP sugar
blanchet
parents: 49112
diff changeset
   688
49336
blanchet
parents: 49330
diff changeset
   689
    val sel_bindingsss = map (map (map fst)) ctr_argsss;
49298
36e551d3af3b support for sort constraints in new (co)data commands
blanchet
parents: 49297
diff changeset
   690
    val fake_ctr_Tsss0 = map (map (map (prepare_typ fake_lthy o snd))) ctr_argsss;
49286
dde4967c9233 added "defaults" option
blanchet
parents: 49280
diff changeset
   691
    val raw_sel_defaultsss = map (map defaults_of) ctr_specss;
dde4967c9233 added "defaults" option
blanchet
parents: 49280
diff changeset
   692
49308
6190b701e4f4 reorganized dependencies so that the sugar does not depend on GFP -- this will be essential for bootstrapping
blanchet
parents: 49302
diff changeset
   693
    val (As :: _) :: fake_ctr_Tsss =
49298
36e551d3af3b support for sort constraints in new (co)data commands
blanchet
parents: 49297
diff changeset
   694
      burrow (burrow (Syntax.check_typs fake_lthy)) (Ass0 :: fake_ctr_Tsss0);
36e551d3af3b support for sort constraints in new (co)data commands
blanchet
parents: 49297
diff changeset
   695
36e551d3af3b support for sort constraints in new (co)data commands
blanchet
parents: 49297
diff changeset
   696
    val _ = (case duplicates (op =) unsorted_As of [] => ()
36e551d3af3b support for sort constraints in new (co)data commands
blanchet
parents: 49297
diff changeset
   697
      | A :: _ => error ("Duplicate type parameter " ^
36e551d3af3b support for sort constraints in new (co)data commands
blanchet
parents: 49297
diff changeset
   698
          quote (Syntax.string_of_typ no_defs_lthy A)));
36e551d3af3b support for sort constraints in new (co)data commands
blanchet
parents: 49297
diff changeset
   699
49183
0cc46e2dee7e careful about constructor types w.r.t. fake context (third step of localization)
blanchet
parents: 49182
diff changeset
   700
    val rhs_As' = fold (fold (fold Term.add_tfreesT)) fake_ctr_Tsss [];
49298
36e551d3af3b support for sort constraints in new (co)data commands
blanchet
parents: 49297
diff changeset
   701
    val _ = (case subtract (op =) (map dest_TFree As) rhs_As' of
49165
c6ccaf6df93c check type variables on rhs
blanchet
parents: 49161
diff changeset
   702
        [] => ()
49342
8ea4bad49ed5 rough and ready induction
blanchet
parents: 49338
diff changeset
   703
      | A' :: _ => error ("Extra type variable on right-hand side: " ^
49204
0b735fb2602e generate iter/rec goals
blanchet
parents: 49203
diff changeset
   704
          quote (Syntax.string_of_typ no_defs_lthy (TFree A'))));
49165
c6ccaf6df93c check type variables on rhs
blanchet
parents: 49161
diff changeset
   705
49591
91b228e26348 generate high-level "coinduct" and "strong_coinduct" properties
blanchet
parents: 49590
diff changeset
   706
    fun eq_fpT_check (T as Type (s, Us)) (Type (s', Us')) =
49146
e32b1f748854 added a check
blanchet
parents: 49135
diff changeset
   707
        s = s' andalso (Us = Us' orelse error ("Illegal occurrence of recursive type " ^
e32b1f748854 added a check
blanchet
parents: 49135
diff changeset
   708
          quote (Syntax.string_of_typ fake_lthy T)))
49591
91b228e26348 generate high-level "coinduct" and "strong_coinduct" properties
blanchet
parents: 49590
diff changeset
   709
      | eq_fpT_check _ _ = false;
49146
e32b1f748854 added a check
blanchet
parents: 49135
diff changeset
   710
49204
0b735fb2602e generate iter/rec goals
blanchet
parents: 49203
diff changeset
   711
    fun freeze_fp (T as Type (s, Us)) =
49591
91b228e26348 generate high-level "coinduct" and "strong_coinduct" properties
blanchet
parents: 49590
diff changeset
   712
        (case find_index (eq_fpT_check T) fake_Ts of
91b228e26348 generate high-level "coinduct" and "strong_coinduct" properties
blanchet
parents: 49590
diff changeset
   713
          ~1 => Type (s, map freeze_fp Us)
91b228e26348 generate high-level "coinduct" and "strong_coinduct" properties
blanchet
parents: 49590
diff changeset
   714
        | kk => nth Xs kk)
49204
0b735fb2602e generate iter/rec goals
blanchet
parents: 49203
diff changeset
   715
      | freeze_fp T = T;
49121
9e0acaa470ab more work on FP sugar
blanchet
parents: 49119
diff changeset
   716
49536
898aea2e7a94 started work on generation of "rel" theorems
blanchet
parents: 49518
diff changeset
   717
    val ctr_TsssXs = map (map (map freeze_fp)) fake_ctr_Tsss;
898aea2e7a94 started work on generation of "rel" theorems
blanchet
parents: 49518
diff changeset
   718
    val ctr_sum_prod_TsXs = map (mk_sumTN_balanced o map HOLogic.mk_tupleT) ctr_TsssXs;
49119
1f605c36869c more work on FP sugar
blanchet
parents: 49112
diff changeset
   719
49298
36e551d3af3b support for sort constraints in new (co)data commands
blanchet
parents: 49297
diff changeset
   720
    val fp_eqs =
49536
898aea2e7a94 started work on generation of "rel" theorems
blanchet
parents: 49518
diff changeset
   721
      map dest_TFree Xs ~~ map (Term.typ_subst_atomic (As ~~ unsorted_As)) ctr_sum_prod_TsXs;
49121
9e0acaa470ab more work on FP sugar
blanchet
parents: 49119
diff changeset
   722
51805
67757f1d5e71 use record instead of huge tuple
blanchet
parents: 51804
diff changeset
   723
    val (pre_bnfs, ({bnfs = fp_bnfs as any_fp_bnf :: _, dtors = dtors0, ctors = ctors0,
67757f1d5e71 use record instead of huge tuple
blanchet
parents: 51804
diff changeset
   724
           folds = fp_folds0, recs = fp_recs0, induct = fp_induct, strong_induct = fp_strong_induct,
67757f1d5e71 use record instead of huge tuple
blanchet
parents: 51804
diff changeset
   725
           dtor_ctors, ctor_dtors, ctor_injects, map_thms = fp_map_thms, set_thmss = fp_set_thmss,
67757f1d5e71 use record instead of huge tuple
blanchet
parents: 51804
diff changeset
   726
           rel_thms = fp_rel_thms, fold_thms = fp_fold_thms, rec_thms = fp_rec_thms}, lthy)) =
51767
bbcdd8519253 honor user-specified name for relator + generalize syntax
blanchet
parents: 51766
diff changeset
   727
      fp_bnf construct_fp fp_bs mixfixes map_bs rel_bs set_bss (map dest_TFree unsorted_As) fp_eqs
51758
55963309557b honor user-specified name for map function
blanchet
parents: 51757
diff changeset
   728
        no_defs_lthy0;
49585
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
   729
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
   730
    val timer = time (Timer.startRealTimer ());
49121
9e0acaa470ab more work on FP sugar
blanchet
parents: 49119
diff changeset
   731
49363
8fc53d925629 distinguish between nested and nesting BNFs
blanchet
parents: 49362
diff changeset
   732
    fun add_nesty_bnf_names Us =
49226
510c6d4a73ec fixed and enabled iterator/recursor theorems
blanchet
parents: 49224
diff changeset
   733
      let
510c6d4a73ec fixed and enabled iterator/recursor theorems
blanchet
parents: 49224
diff changeset
   734
        fun add (Type (s, Ts)) ss =
510c6d4a73ec fixed and enabled iterator/recursor theorems
blanchet
parents: 49224
diff changeset
   735
            let val (needs, ss') = fold_map add Ts ss in
510c6d4a73ec fixed and enabled iterator/recursor theorems
blanchet
parents: 49224
diff changeset
   736
              if exists I needs then (true, insert (op =) s ss') else (false, ss')
510c6d4a73ec fixed and enabled iterator/recursor theorems
blanchet
parents: 49224
diff changeset
   737
            end
49363
8fc53d925629 distinguish between nested and nesting BNFs
blanchet
parents: 49362
diff changeset
   738
          | add T ss = (member (op =) Us T, ss);
49226
510c6d4a73ec fixed and enabled iterator/recursor theorems
blanchet
parents: 49224
diff changeset
   739
      in snd oo add end;
510c6d4a73ec fixed and enabled iterator/recursor theorems
blanchet
parents: 49224
diff changeset
   740
49363
8fc53d925629 distinguish between nested and nesting BNFs
blanchet
parents: 49362
diff changeset
   741
    fun nesty_bnfs Us =
49536
898aea2e7a94 started work on generation of "rel" theorems
blanchet
parents: 49518
diff changeset
   742
      map_filter (bnf_of lthy) (fold (fold (fold (add_nesty_bnf_names Us))) ctr_TsssXs []);
49363
8fc53d925629 distinguish between nested and nesting BNFs
blanchet
parents: 49362
diff changeset
   743
8fc53d925629 distinguish between nested and nesting BNFs
blanchet
parents: 49362
diff changeset
   744
    val nesting_bnfs = nesty_bnfs As;
49536
898aea2e7a94 started work on generation of "rel" theorems
blanchet
parents: 49518
diff changeset
   745
    val nested_bnfs = nesty_bnfs Xs;
49226
510c6d4a73ec fixed and enabled iterator/recursor theorems
blanchet
parents: 49224
diff changeset
   746
49585
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
   747
    val pre_map_defs = map map_def_of_bnf pre_bnfs;
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
   748
    val pre_set_defss = map set_defs_of_bnf pre_bnfs;
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
   749
    val pre_rel_defs = map rel_def_of_bnf pre_bnfs;
51766
f19a4d0ab1bf renamed "set_natural" to "set_map", reflecting {Bl,Po,Tr} concensus
blanchet
parents: 51758
diff changeset
   750
    val nested_set_map's = maps set_map'_of_bnf nested_bnfs;
f19a4d0ab1bf renamed "set_natural" to "set_map", reflecting {Bl,Po,Tr} concensus
blanchet
parents: 51758
diff changeset
   751
    val nesting_set_map's = maps set_map'_of_bnf nesting_bnfs;
49585
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
   752
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
   753
    val live = live_of_bnf any_fp_bnf;
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
   754
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
   755
    val Bs =
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
   756
      map3 (fn alive => fn A as TFree (_, S) => fn B => if alive then resort_tfree S B else A)
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
   757
        (liveness_of_fp_bnf (length As) any_fp_bnf) As Bs0;
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
   758
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
   759
    val B_ify = Term.typ_subst_atomic (As ~~ Bs);
49167
68623861e0f2 print timing information
blanchet
parents: 49165
diff changeset
   760
49501
acc9635a644a renamed "fld"/"unf" to "ctor"/"dtor"
blanchet
parents: 49498
diff changeset
   761
    val ctors = map (mk_ctor As) ctors0;
acc9635a644a renamed "fld"/"unf" to "ctor"/"dtor"
blanchet
parents: 49498
diff changeset
   762
    val dtors = map (mk_dtor As) dtors0;
49124
968e1b7de057 more work on FP sugar
blanchet
parents: 49123
diff changeset
   763
49501
acc9635a644a renamed "fld"/"unf" to "ctor"/"dtor"
blanchet
parents: 49498
diff changeset
   764
    val fpTs = map (domain_type o fastype_of) dtors;
49362
1271aca16aed make tactic more robust in the case where "asm_simp_tac" already finishes the job
blanchet
parents: 49361
diff changeset
   765
51780
67e4ed510dfb register coinductive type's coinduct rule
blanchet
parents: 51777
diff changeset
   766
    fun massage_simple_notes base =
67e4ed510dfb register coinductive type's coinduct rule
blanchet
parents: 51777
diff changeset
   767
      filter_out (null o #2)
67e4ed510dfb register coinductive type's coinduct rule
blanchet
parents: 51777
diff changeset
   768
      #> map (fn (thmN, thms, attrs) =>
67e4ed510dfb register coinductive type's coinduct rule
blanchet
parents: 51777
diff changeset
   769
        ((qualify true base (Binding.name thmN), attrs), [(thms, [])]));
67e4ed510dfb register coinductive type's coinduct rule
blanchet
parents: 51777
diff changeset
   770
67e4ed510dfb register coinductive type's coinduct rule
blanchet
parents: 51777
diff changeset
   771
    val massage_multi_notes =
67e4ed510dfb register coinductive type's coinduct rule
blanchet
parents: 51777
diff changeset
   772
      maps (fn (thmN, thmss, attrs) =>
67e4ed510dfb register coinductive type's coinduct rule
blanchet
parents: 51777
diff changeset
   773
        if forall null thmss then
67e4ed510dfb register coinductive type's coinduct rule
blanchet
parents: 51777
diff changeset
   774
          []
67e4ed510dfb register coinductive type's coinduct rule
blanchet
parents: 51777
diff changeset
   775
        else
67e4ed510dfb register coinductive type's coinduct rule
blanchet
parents: 51777
diff changeset
   776
          map3 (fn fp_b_name => fn Type (T_name, _) => fn thms =>
67e4ed510dfb register coinductive type's coinduct rule
blanchet
parents: 51777
diff changeset
   777
            ((qualify true fp_b_name (Binding.name thmN), attrs T_name),
67e4ed510dfb register coinductive type's coinduct rule
blanchet
parents: 51777
diff changeset
   778
             [(thms, [])])) fp_b_names fpTs thmss);
67e4ed510dfb register coinductive type's coinduct rule
blanchet
parents: 51777
diff changeset
   779
49536
898aea2e7a94 started work on generation of "rel" theorems
blanchet
parents: 49518
diff changeset
   780
    val ctr_Tsss = map (map (map (Term.typ_subst_atomic (Xs ~~ fpTs)))) ctr_TsssXs;
49203
262ab1ac38b9 repaired constant types
blanchet
parents: 49202
diff changeset
   781
    val ns = map length ctr_Tsss;
49212
ca59649170b0 more sugar on codatatypes
blanchet
parents: 49211
diff changeset
   782
    val kss = map (fn n => 1 upto n) ns;
49203
262ab1ac38b9 repaired constant types
blanchet
parents: 49202
diff changeset
   783
    val mss = map (map length) ctr_Tsss;
262ab1ac38b9 repaired constant types
blanchet
parents: 49202
diff changeset
   784
    val Css = map2 replicate ns Cs;
262ab1ac38b9 repaired constant types
blanchet
parents: 49202
diff changeset
   785
49585
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
   786
    val fp_folds as any_fp_fold :: _ = map (mk_rec_like lfp As Cs) fp_folds0;
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
   787
    val fp_recs as any_fp_rec :: _ = map (mk_rec_like lfp As Cs) fp_recs0;
49210
656fb50d33f0 define coiterators
blanchet
parents: 49209
diff changeset
   788
49585
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
   789
    val fp_fold_fun_Ts = fst (split_last (binder_types (fastype_of any_fp_fold)));
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
   790
    val fp_rec_fun_Ts = fst (split_last (binder_types (fastype_of any_fp_rec)));
49204
0b735fb2602e generate iter/rec goals
blanchet
parents: 49203
diff changeset
   791
49504
df9b897fb254 renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents: 49502
diff changeset
   792
    val (((fold_only as (gss, _, _), rec_only as (hss, _, _)),
49683
78a3d5006cf1 continued changing type of corec type
blanchet
parents: 49682
diff changeset
   793
          (cs, cpss, unfold_only as ((pgss, crssss, cgssss), (_, g_Tsss, _)),
78a3d5006cf1 continued changing type of corec type
blanchet
parents: 49682
diff changeset
   794
           corec_only as ((phss, csssss, chssss), (_, h_Tsss, _)))), names_lthy0) =
49208
blanchet
parents: 49207
diff changeset
   795
      if lfp then
blanchet
parents: 49207
diff changeset
   796
        let
blanchet
parents: 49207
diff changeset
   797
          val y_Tsss =
49255
2ecc533d6697 use balanced sums for constructors (to gracefully handle 100 constructors or more)
blanchet
parents: 49254
diff changeset
   798
            map3 (fn n => fn ms => map2 dest_tupleT ms o dest_sumTN_balanced n o domain_type)
49504
df9b897fb254 renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents: 49502
diff changeset
   799
              ns mss fp_fold_fun_Ts;
49208
blanchet
parents: 49207
diff changeset
   800
          val g_Tss = map2 (map2 (curry (op --->))) y_Tsss Css;
blanchet
parents: 49207
diff changeset
   801
49484
0194a18f80cf finished "disc_coiter_iff" etc. generation
blanchet
parents: 49482
diff changeset
   802
          val ((gss, ysss), lthy) =
49208
blanchet
parents: 49207
diff changeset
   803
            lthy
blanchet
parents: 49207
diff changeset
   804
            |> mk_Freess "f" g_Tss
blanchet
parents: 49207
diff changeset
   805
            ||>> mk_Freesss "x" y_Tsss;
49670
c7a034d01936 changed the type of the recursor for nested recursion
blanchet
parents: 49636
diff changeset
   806
c7a034d01936 changed the type of the recursor for nested recursion
blanchet
parents: 49636
diff changeset
   807
          fun proj_recT proj (Type (s as @{type_name prod}, Ts as [T, U])) =
c7a034d01936 changed the type of the recursor for nested recursion
blanchet
parents: 49636
diff changeset
   808
              if member (op =) fpTs T then proj (T, U) else Type (s, map (proj_recT proj) Ts)
c7a034d01936 changed the type of the recursor for nested recursion
blanchet
parents: 49636
diff changeset
   809
            | proj_recT proj (Type (s, Ts)) = Type (s, map (proj_recT proj) Ts)
c7a034d01936 changed the type of the recursor for nested recursion
blanchet
parents: 49636
diff changeset
   810
            | proj_recT _ T = T;
49274
ddd606ec45b9 first step towards splitting corecursor function arguments into (p, g, h) triples
blanchet
parents: 49273
diff changeset
   811
51794
a1ffbc36323a tuning in preparation for actual changes
blanchet
parents: 51793
diff changeset
   812
          fun unzip_recT T =
51808
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   813
            if exists_subtype_in fpTs T then ([proj_recT fst T], [proj_recT snd T]) else ([T], []);
49204
0b735fb2602e generate iter/rec goals
blanchet
parents: 49203
diff changeset
   814
49670
c7a034d01936 changed the type of the recursor for nested recursion
blanchet
parents: 49636
diff changeset
   815
          val z_Tsss =
c7a034d01936 changed the type of the recursor for nested recursion
blanchet
parents: 49636
diff changeset
   816
            map3 (fn n => fn ms => map2 dest_tupleT ms o dest_sumTN_balanced n o domain_type)
c7a034d01936 changed the type of the recursor for nested recursion
blanchet
parents: 49636
diff changeset
   817
              ns mss fp_rec_fun_Ts;
51794
a1ffbc36323a tuning in preparation for actual changes
blanchet
parents: 51793
diff changeset
   818
          val z_Tsss' = map (map (flat_rec unzip_recT)) z_Tsss;
a1ffbc36323a tuning in preparation for actual changes
blanchet
parents: 51793
diff changeset
   819
          val h_Tss = map2 (map2 (curry (op --->))) z_Tsss' Css;
49204
0b735fb2602e generate iter/rec goals
blanchet
parents: 49203
diff changeset
   820
49298
36e551d3af3b support for sort constraints in new (co)data commands
blanchet
parents: 49297
diff changeset
   821
          val hss = map2 (map2 retype_free) h_Tss gss;
49670
c7a034d01936 changed the type of the recursor for nested recursion
blanchet
parents: 49636
diff changeset
   822
          val zsss = map2 (map2 (map2 retype_free)) z_Tsss ysss;
49210
656fb50d33f0 define coiterators
blanchet
parents: 49209
diff changeset
   823
        in
49670
c7a034d01936 changed the type of the recursor for nested recursion
blanchet
parents: 49636
diff changeset
   824
          ((((gss, g_Tss, ysss), (hss, h_Tss, zsss)),
49683
78a3d5006cf1 continued changing type of corec type
blanchet
parents: 49682
diff changeset
   825
            ([], [], (([], [], []), ([], [], [])), (([], [], []), ([], [], [])))), lthy)
49210
656fb50d33f0 define coiterators
blanchet
parents: 49209
diff changeset
   826
        end
49208
blanchet
parents: 49207
diff changeset
   827
      else
49210
656fb50d33f0 define coiterators
blanchet
parents: 49209
diff changeset
   828
        let
49221
6d8d5fe9f3a2 fixed bug with one-value types with phantom type arguments
blanchet
parents: 49220
diff changeset
   829
          (*avoid "'a itself" arguments in coiterators and corecursors*)
6d8d5fe9f3a2 fixed bug with one-value types with phantom type arguments
blanchet
parents: 49220
diff changeset
   830
          val mss' =  map (fn [0] => [1] | ms => ms) mss;
6d8d5fe9f3a2 fixed bug with one-value types with phantom type arguments
blanchet
parents: 49220
diff changeset
   831
49463
83ac281bcdc2 provide predicator, define relator
blanchet
parents: 49458
diff changeset
   832
          val p_Tss = map2 (fn n => replicate (Int.max (0, n - 1)) o mk_pred1T) ns Cs;
49275
ce87d6a901eb split sum types in corecursor definition
blanchet
parents: 49274
diff changeset
   833
49587
33cf557c7849 name tuning
blanchet
parents: 49585
diff changeset
   834
          fun flat_predss_getterss qss fss = maps (op @) (qss ~~ fss);
49211
239a4fa29ddf define corecursors
blanchet
parents: 49210
diff changeset
   835
49587
33cf557c7849 name tuning
blanchet
parents: 49585
diff changeset
   836
          fun flat_preds_predsss_gettersss [] [qss] [fss] = flat_predss_getterss qss fss
33cf557c7849 name tuning
blanchet
parents: 49585
diff changeset
   837
            | flat_preds_predsss_gettersss (p :: ps) (qss :: qsss) (fss :: fsss) =
33cf557c7849 name tuning
blanchet
parents: 49585
diff changeset
   838
              p :: flat_predss_getterss qss fss @ flat_preds_predsss_gettersss ps qsss fsss;
49274
ddd606ec45b9 first step towards splitting corecursor function arguments into (p, g, h) triples
blanchet
parents: 49273
diff changeset
   839
49681
aa66ea552357 changed type of corecursor for the nested recursion case
blanchet
parents: 49672
diff changeset
   840
          fun mk_types maybe_unzipT fun_Ts =
49212
ca59649170b0 more sugar on codatatypes
blanchet
parents: 49211
diff changeset
   841
            let
ca59649170b0 more sugar on codatatypes
blanchet
parents: 49211
diff changeset
   842
              val f_sum_prod_Ts = map range_type fun_Ts;
49255
2ecc533d6697 use balanced sums for constructors (to gracefully handle 100 constructors or more)
blanchet
parents: 49254
diff changeset
   843
              val f_prod_Tss = map2 dest_sumTN_balanced ns f_sum_prod_Ts;
49681
aa66ea552357 changed type of corecursor for the nested recursion case
blanchet
parents: 49672
diff changeset
   844
              val f_Tsss = map2 (map2 dest_tupleT) mss' f_prod_Tss;
49275
ce87d6a901eb split sum types in corecursor definition
blanchet
parents: 49274
diff changeset
   845
              val f_Tssss =
49681
aa66ea552357 changed type of corecursor for the nested recursion case
blanchet
parents: 49672
diff changeset
   846
                map2 (fn C => map (map (map (curry (op -->) C) o maybe_unzipT))) Cs f_Tsss;
49275
ce87d6a901eb split sum types in corecursor definition
blanchet
parents: 49274
diff changeset
   847
              val q_Tssss =
49463
83ac281bcdc2 provide predicator, define relator
blanchet
parents: 49458
diff changeset
   848
                map (map (map (fn [_] => [] | [_, C] => [mk_pred1T (domain_type C)]))) f_Tssss;
49587
33cf557c7849 name tuning
blanchet
parents: 49585
diff changeset
   849
              val pf_Tss = map3 flat_preds_predsss_gettersss p_Tss q_Tssss f_Tssss;
49681
aa66ea552357 changed type of corecursor for the nested recursion case
blanchet
parents: 49672
diff changeset
   850
            in (q_Tssss, f_sum_prod_Ts, f_Tsss, f_Tssss, pf_Tss) end;
49176
6d29d2db5f88 construct high-level iterator RHS
blanchet
parents: 49169
diff changeset
   851
49681
aa66ea552357 changed type of corecursor for the nested recursion case
blanchet
parents: 49672
diff changeset
   852
          val (r_Tssss, g_sum_prod_Ts, g_Tsss, g_Tssss, pg_Tss) = mk_types single fp_fold_fun_Ts;
49211
239a4fa29ddf define corecursors
blanchet
parents: 49210
diff changeset
   853
49683
78a3d5006cf1 continued changing type of corec type
blanchet
parents: 49682
diff changeset
   854
          val (((cs, pss), gssss), lthy) =
49210
656fb50d33f0 define coiterators
blanchet
parents: 49209
diff changeset
   855
            lthy
49683
78a3d5006cf1 continued changing type of corec type
blanchet
parents: 49682
diff changeset
   856
            |> mk_Frees "a" Cs
49211
239a4fa29ddf define corecursors
blanchet
parents: 49210
diff changeset
   857
            ||>> mk_Freess "p" p_Tss
49275
ce87d6a901eb split sum types in corecursor definition
blanchet
parents: 49274
diff changeset
   858
            ||>> mk_Freessss "g" g_Tssss;
ce87d6a901eb split sum types in corecursor definition
blanchet
parents: 49274
diff changeset
   859
          val rssss = map (map (map (fn [] => []))) r_Tssss;
49274
ddd606ec45b9 first step towards splitting corecursor function arguments into (p, g, h) triples
blanchet
parents: 49273
diff changeset
   860
49681
aa66ea552357 changed type of corecursor for the nested recursion case
blanchet
parents: 49672
diff changeset
   861
          fun proj_corecT proj (Type (s as @{type_name sum}, Ts as [T, U])) =
aa66ea552357 changed type of corecursor for the nested recursion case
blanchet
parents: 49672
diff changeset
   862
              if member (op =) fpTs T then proj (T, U) else Type (s, map (proj_corecT proj) Ts)
aa66ea552357 changed type of corecursor for the nested recursion case
blanchet
parents: 49672
diff changeset
   863
            | proj_corecT proj (Type (s, Ts)) = Type (s, map (proj_corecT proj) Ts)
aa66ea552357 changed type of corecursor for the nested recursion case
blanchet
parents: 49672
diff changeset
   864
            | proj_corecT _ T = T;
49274
ddd606ec45b9 first step towards splitting corecursor function arguments into (p, g, h) triples
blanchet
parents: 49273
diff changeset
   865
49681
aa66ea552357 changed type of corecursor for the nested recursion case
blanchet
parents: 49672
diff changeset
   866
          fun unzip_corecT T =
51808
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   867
            if exists_subtype_in fpTs T then [proj_corecT fst T, proj_corecT snd T] else [T];
49681
aa66ea552357 changed type of corecursor for the nested recursion case
blanchet
parents: 49672
diff changeset
   868
aa66ea552357 changed type of corecursor for the nested recursion case
blanchet
parents: 49672
diff changeset
   869
          val (s_Tssss, h_sum_prod_Ts, h_Tsss, h_Tssss, ph_Tss) =
aa66ea552357 changed type of corecursor for the nested recursion case
blanchet
parents: 49672
diff changeset
   870
            mk_types unzip_corecT fp_rec_fun_Ts;
49210
656fb50d33f0 define coiterators
blanchet
parents: 49209
diff changeset
   871
49298
36e551d3af3b support for sort constraints in new (co)data commands
blanchet
parents: 49297
diff changeset
   872
          val hssss_hd = map2 (map2 (map2 (fn T :: _ => fn [g] => retype_free T g))) h_Tssss gssss;
49484
0194a18f80cf finished "disc_coiter_iff" etc. generation
blanchet
parents: 49482
diff changeset
   873
          val ((sssss, hssss_tl), lthy) =
49275
ce87d6a901eb split sum types in corecursor definition
blanchet
parents: 49274
diff changeset
   874
            lthy
ce87d6a901eb split sum types in corecursor definition
blanchet
parents: 49274
diff changeset
   875
            |> mk_Freessss "q" s_Tssss
ce87d6a901eb split sum types in corecursor definition
blanchet
parents: 49274
diff changeset
   876
            ||>> mk_Freessss "h" (map (map (map tl)) h_Tssss);
ce87d6a901eb split sum types in corecursor definition
blanchet
parents: 49274
diff changeset
   877
          val hssss = map2 (map2 (map2 cons)) hssss_hd hssss_tl;
49211
239a4fa29ddf define corecursors
blanchet
parents: 49210
diff changeset
   878
49681
aa66ea552357 changed type of corecursor for the nested recursion case
blanchet
parents: 49672
diff changeset
   879
          val cpss = map2 (map o rapp) cs pss;
49212
ca59649170b0 more sugar on codatatypes
blanchet
parents: 49211
diff changeset
   880
49683
78a3d5006cf1 continued changing type of corec type
blanchet
parents: 49682
diff changeset
   881
          fun mk_terms qssss fssss =
49212
ca59649170b0 more sugar on codatatypes
blanchet
parents: 49211
diff changeset
   882
            let
49587
33cf557c7849 name tuning
blanchet
parents: 49585
diff changeset
   883
              val pfss = map3 flat_preds_predsss_gettersss pss qssss fssss;
49681
aa66ea552357 changed type of corecursor for the nested recursion case
blanchet
parents: 49672
diff changeset
   884
              val cqssss = map2 (map o map o map o rapp) cs qssss;
aa66ea552357 changed type of corecursor for the nested recursion case
blanchet
parents: 49672
diff changeset
   885
              val cfssss = map2 (map o map o map o rapp) cs fssss;
49683
78a3d5006cf1 continued changing type of corec type
blanchet
parents: 49682
diff changeset
   886
            in (pfss, cqssss, cfssss) end;
49210
656fb50d33f0 define coiterators
blanchet
parents: 49209
diff changeset
   887
        in
49484
0194a18f80cf finished "disc_coiter_iff" etc. generation
blanchet
parents: 49482
diff changeset
   888
          (((([], [], []), ([], [], [])),
49683
78a3d5006cf1 continued changing type of corec type
blanchet
parents: 49682
diff changeset
   889
            (cs, cpss, (mk_terms rssss gssss, (g_sum_prod_Ts, g_Tsss, pg_Tss)),
78a3d5006cf1 continued changing type of corec type
blanchet
parents: 49682
diff changeset
   890
             (mk_terms sssss hssss, (h_sum_prod_Ts, h_Tsss, ph_Tss)))), lthy)
49210
656fb50d33f0 define coiterators
blanchet
parents: 49209
diff changeset
   891
        end;
656fb50d33f0 define coiterators
blanchet
parents: 49209
diff changeset
   892
49585
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
   893
    fun define_ctrs_case_for_type (((((((((((((((((((((((((fp_bnf, fp_b), fpT), C), ctor), dtor),
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
   894
            fp_fold), fp_rec), ctor_dtor), dtor_ctor), ctor_inject), pre_map_def), pre_set_defs),
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
   895
          pre_rel_def), fp_map_thm), fp_set_thms), fp_rel_thm), n), ks), ms), ctr_bindings),
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
   896
        ctr_mixfixes), ctr_Tss), disc_bindings), sel_bindingss), raw_sel_defaultss) no_defs_lthy =
49176
6d29d2db5f88 construct high-level iterator RHS
blanchet
parents: 49169
diff changeset
   897
      let
49498
acc583e14167 tuned variable names
blanchet
parents: 49484
diff changeset
   898
        val fp_b_name = Binding.name_of fp_b;
acc583e14167 tuned variable names
blanchet
parents: 49484
diff changeset
   899
49501
acc9635a644a renamed "fld"/"unf" to "ctor"/"dtor"
blanchet
parents: 49498
diff changeset
   900
        val dtorT = domain_type (fastype_of ctor);
49210
656fb50d33f0 define coiterators
blanchet
parents: 49209
diff changeset
   901
        val ctr_prod_Ts = map HOLogic.mk_tupleT ctr_Tss;
49255
2ecc533d6697 use balanced sums for constructors (to gracefully handle 100 constructors or more)
blanchet
parents: 49254
diff changeset
   902
        val ctr_sum_prod_T = mk_sumTN_balanced ctr_prod_Ts;
49134
846264f80f16 optionally provide extra dead variables to the FP constructions
blanchet
parents: 49130
diff changeset
   903
        val case_Ts = map (fn Ts => Ts ---> C) ctr_Tss;
49119
1f605c36869c more work on FP sugar
blanchet
parents: 49112
diff changeset
   904
49593
c958f282b382 get rid of shaky "Thm.generalize"
blanchet
parents: 49592
diff changeset
   905
        val (((((w, fs), xss), yss), u'), names_lthy) =
49204
0b735fb2602e generate iter/rec goals
blanchet
parents: 49203
diff changeset
   906
          no_defs_lthy
49501
acc9635a644a renamed "fld"/"unf" to "ctor"/"dtor"
blanchet
parents: 49498
diff changeset
   907
          |> yield_singleton (mk_Frees "w") dtorT
49176
6d29d2db5f88 construct high-level iterator RHS
blanchet
parents: 49169
diff changeset
   908
          ||>> mk_Frees "f" case_Ts
49370
be6e749fd003 fixed variable exporting problem
blanchet
parents: 49368
diff changeset
   909
          ||>> mk_Freess "x" ctr_Tss
49585
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
   910
          ||>> mk_Freess "y" (map (map B_ify) ctr_Tss)
49498
acc583e14167 tuned variable names
blanchet
parents: 49484
diff changeset
   911
          ||>> yield_singleton Variable.variant_fixes fp_b_name;
49370
be6e749fd003 fixed variable exporting problem
blanchet
parents: 49368
diff changeset
   912
49498
acc583e14167 tuned variable names
blanchet
parents: 49484
diff changeset
   913
        val u = Free (u', fpT);
49121
9e0acaa470ab more work on FP sugar
blanchet
parents: 49119
diff changeset
   914
49585
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
   915
        val tuple_xs = map HOLogic.mk_tuple xss;
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
   916
        val tuple_ys = map HOLogic.mk_tuple yss;
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
   917
49129
b5413cb7d860 define "case" constant
blanchet
parents: 49127
diff changeset
   918
        val ctr_rhss =
49585
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
   919
          map3 (fn k => fn xs => fn tuple_x => fold_rev Term.lambda xs (ctor $
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
   920
            mk_InN_balanced ctr_sum_prod_T n tuple_x k)) ks xss tuple_xs;
49121
9e0acaa470ab more work on FP sugar
blanchet
parents: 49119
diff changeset
   921
49633
5b5450bc544c compatibility option to use "rep_datatype"
blanchet
parents: 49622
diff changeset
   922
        val case_binding = qualify false fp_b_name (Binding.suffix_name ("_" ^ caseN) fp_b);
49129
b5413cb7d860 define "case" constant
blanchet
parents: 49127
diff changeset
   923
49134
846264f80f16 optionally provide extra dead variables to the FP constructions
blanchet
parents: 49130
diff changeset
   924
        val case_rhs =
49498
acc583e14167 tuned variable names
blanchet
parents: 49484
diff changeset
   925
          fold_rev Term.lambda (fs @ [u])
49501
acc9635a644a renamed "fld"/"unf" to "ctor"/"dtor"
blanchet
parents: 49498
diff changeset
   926
            (mk_sum_caseN_balanced (map2 mk_uncurried_fun fs xss) $ (dtor $ u));
49129
b5413cb7d860 define "case" constant
blanchet
parents: 49127
diff changeset
   927
49201
blanchet
parents: 49200
diff changeset
   928
        val ((raw_case :: raw_ctrs, raw_case_def :: raw_ctr_defs), (lthy', lthy)) = no_defs_lthy
49169
937a0fadddfb honor mixfix specifications
blanchet
parents: 49167
diff changeset
   929
          |> 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
blanchet
parents: 49300
diff changeset
   930
              Local_Theory.define ((b, mx), ((Thm.def_binding b, []), rhs)) #>> apsnd snd)
49336
blanchet
parents: 49330
diff changeset
   931
            (case_binding :: ctr_bindings) (NoSyn :: ctr_mixfixes) (case_rhs :: ctr_rhss)
49121
9e0acaa470ab more work on FP sugar
blanchet
parents: 49119
diff changeset
   932
          ||> `Local_Theory.restore;
9e0acaa470ab more work on FP sugar
blanchet
parents: 49119
diff changeset
   933
9e0acaa470ab more work on FP sugar
blanchet
parents: 49119
diff changeset
   934
        val phi = Proof_Context.export_morphism lthy lthy';
9e0acaa470ab more work on FP sugar
blanchet
parents: 49119
diff changeset
   935
9e0acaa470ab more work on FP sugar
blanchet
parents: 49119
diff changeset
   936
        val ctr_defs = map (Morphism.thm phi) raw_ctr_defs;
49585
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
   937
        val ctr_defs' =
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
   938
          map2 (fn m => fn def => mk_unabs_def m (def RS meta_eq_to_obj_eq)) ms ctr_defs;
49130
3c26e17b2849 implemented "mk_case_tac" -- and got rid of "cheat_tac"
blanchet
parents: 49129
diff changeset
   939
        val case_def = Morphism.thm phi raw_case_def;
3c26e17b2849 implemented "mk_case_tac" -- and got rid of "cheat_tac"
blanchet
parents: 49129
diff changeset
   940
49203
262ab1ac38b9 repaired constant types
blanchet
parents: 49202
diff changeset
   941
        val ctrs0 = map (Morphism.term phi) raw_ctrs;
262ab1ac38b9 repaired constant types
blanchet
parents: 49202
diff changeset
   942
        val casex0 = Morphism.term phi raw_case;
262ab1ac38b9 repaired constant types
blanchet
parents: 49202
diff changeset
   943
262ab1ac38b9 repaired constant types
blanchet
parents: 49202
diff changeset
   944
        val ctrs = map (mk_ctr As) ctrs0;
49121
9e0acaa470ab more work on FP sugar
blanchet
parents: 49119
diff changeset
   945
49585
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
   946
        fun wrap lthy =
49123
263b0e330d8b more work on sugar + simplify Trueprop + eq idiom everywhere
blanchet
parents: 49121
diff changeset
   947
          let
50170
8155e280f239 made SML/NJ happier
traytel
parents: 49693
diff changeset
   948
            fun exhaust_tac {context = ctxt, prems = _} =
49135
de13b454fa31 fixed some type issues in sugar "exhaust_tac"
blanchet
parents: 49134
diff changeset
   949
              let
49585
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
   950
                val ctor_iff_dtor_thm =
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
   951
                  let
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
   952
                    val goal =
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
   953
                      fold_rev Logic.all [w, u]
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
   954
                        (mk_Trueprop_eq (HOLogic.mk_eq (u, ctor $ w), HOLogic.mk_eq (dtor $ u, w)));
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
   955
                  in
51551
88d1d19fb74f tuned signature and module arrangement;
wenzelm
parents: 51380
diff changeset
   956
                    Goal.prove_sorry lthy [] [] goal (fn {context = ctxt, ...} =>
49585
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
   957
                      mk_ctor_iff_dtor_tac ctxt (map (SOME o certifyT lthy) [dtorT, fpT])
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
   958
                        (certify lthy ctor) (certify lthy dtor) ctor_dtor dtor_ctor)
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
   959
                    |> Thm.close_derivation
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
   960
                    |> Morphism.thm phi
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
   961
                  end;
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
   962
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
   963
                val sumEN_thm' =
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
   964
                  unfold_thms lthy @{thms all_unit_eq}
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
   965
                    (Drule.instantiate' (map (SOME o certifyT lthy) ctr_prod_Ts) []
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
   966
                       (mk_sumEN_balanced n))
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
   967
                  |> Morphism.thm phi;
49135
de13b454fa31 fixed some type issues in sugar "exhaust_tac"
blanchet
parents: 49134
diff changeset
   968
              in
49585
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
   969
                mk_exhaust_tac ctxt n ctr_defs ctor_iff_dtor_thm sumEN_thm'
49135
de13b454fa31 fixed some type issues in sugar "exhaust_tac"
blanchet
parents: 49134
diff changeset
   970
              end;
de13b454fa31 fixed some type issues in sugar "exhaust_tac"
blanchet
parents: 49134
diff changeset
   971
49585
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
   972
            val inject_tacss =
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
   973
              map2 (fn 0 => K [] | _ => fn ctr_def => [fn {context = ctxt, ...} =>
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
   974
                  mk_inject_tac ctxt ctr_def ctor_inject]) ms ctr_defs;
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
   975
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
   976
            val half_distinct_tacss =
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
   977
              map (map (fn (def, def') => fn {context = ctxt, ...} =>
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
   978
                mk_half_distinct_tac ctxt ctor_inject [def, def'])) (mk_half_pairss (`I ctr_defs));
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
   979
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
   980
            val case_tacs =
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
   981
              map3 (fn k => fn m => fn ctr_def => fn {context = ctxt, ...} =>
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
   982
                mk_case_tac ctxt n k m case_def ctr_def dtor_ctor) ks ms ctr_defs;
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
   983
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
   984
            val tacss = [exhaust_tac] :: inject_tacss @ half_distinct_tacss @ [case_tacs];
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
   985
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
   986
            val sel_defaultss = map (map (apsnd (prepare_term lthy))) raw_sel_defaultss
49123
263b0e330d8b more work on sugar + simplify Trueprop + eq idiom everywhere
blanchet
parents: 49121
diff changeset
   987
          in
51781
0504e286d66d renamed "wrap_data" to "wrap_free_constructors"
blanchet
parents: 51780
diff changeset
   988
            wrap_free_constructors tacss (((wrap_opts, ctrs0), casex0), (disc_bindings,
0504e286d66d renamed "wrap_data" to "wrap_free_constructors"
blanchet
parents: 51780
diff changeset
   989
              (sel_bindingss, sel_defaultss))) lthy
49123
263b0e330d8b more work on sugar + simplify Trueprop + eq idiom everywhere
blanchet
parents: 49121
diff changeset
   990
          end;
49121
9e0acaa470ab more work on FP sugar
blanchet
parents: 49119
diff changeset
   991
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   992
        fun derive_maps_sets_rels (ctr_wrap_res, lthy) =
49585
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
   993
          let
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
   994
            val rel_flip = rel_flip_of_bnf fp_bnf;
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
   995
            val nones = replicate live NONE;
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
   996
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
   997
            val ctor_cong =
51746
5af40820948b avoid accidental specialization of the types in the "map" property of codatatypes
blanchet
parents: 51745
diff changeset
   998
              if lfp then
5af40820948b avoid accidental specialization of the types in the "map" property of codatatypes
blanchet
parents: 51745
diff changeset
   999
                Drule.dummy_thm
5af40820948b avoid accidental specialization of the types in the "map" property of codatatypes
blanchet
parents: 51745
diff changeset
  1000
              else
5af40820948b avoid accidental specialization of the types in the "map" property of codatatypes
blanchet
parents: 51745
diff changeset
  1001
                let val ctor' = mk_ctor Bs ctor in
5af40820948b avoid accidental specialization of the types in the "map" property of codatatypes
blanchet
parents: 51745
diff changeset
  1002
                  cterm_instantiate_pos [NONE, NONE, SOME (certify lthy ctor')] arg_cong
5af40820948b avoid accidental specialization of the types in the "map" property of codatatypes
blanchet
parents: 51745
diff changeset
  1003
                end;
49585
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
  1004
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
  1005
            fun mk_cIn ify =
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
  1006
              certify lthy o (not lfp ? curry (op $) (map_types ify ctor)) oo
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
  1007
              mk_InN_balanced (ify ctr_sum_prod_T) n;
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
  1008
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
  1009
            val cxIns = map2 (mk_cIn I) tuple_xs ks;
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
  1010
            val cyIns = map2 (mk_cIn B_ify) tuple_ys ks;
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
  1011
49682
f57af1c46f99 removed dead params and dead code
blanchet
parents: 49681
diff changeset
  1012
            fun mk_map_thm ctr_def' cxIn =
49585
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
  1013
              fold_thms lthy [ctr_def']
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
  1014
                (unfold_thms lthy (pre_map_def ::
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
  1015
                     (if lfp then [] else [ctor_dtor, dtor_ctor]) @ sum_prod_thms_map)
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
  1016
                   (cterm_instantiate_pos (nones @ [SOME cxIn])
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
  1017
                      (if lfp then fp_map_thm else fp_map_thm RS ctor_cong)))
49593
c958f282b382 get rid of shaky "Thm.generalize"
blanchet
parents: 49592
diff changeset
  1018
              |> singleton (Proof_Context.export names_lthy no_defs_lthy);
49585
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
  1019
49682
f57af1c46f99 removed dead params and dead code
blanchet
parents: 49681
diff changeset
  1020
            fun mk_set_thm fp_set_thm ctr_def' cxIn =
49585
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
  1021
              fold_thms lthy [ctr_def']
51766
f19a4d0ab1bf renamed "set_natural" to "set_map", reflecting {Bl,Po,Tr} concensus
blanchet
parents: 51758
diff changeset
  1022
                (unfold_thms lthy (pre_set_defs @ nested_set_map's @ nesting_set_map's @
49585
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
  1023
                     (if lfp then [] else [dtor_ctor]) @ sum_prod_thms_set)
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
  1024
                   (cterm_instantiate_pos [SOME cxIn] fp_set_thm))
49593
c958f282b382 get rid of shaky "Thm.generalize"
blanchet
parents: 49592
diff changeset
  1025
              |> singleton (Proof_Context.export names_lthy no_defs_lthy);
49585
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
  1026
49682
f57af1c46f99 removed dead params and dead code
blanchet
parents: 49681
diff changeset
  1027
            fun mk_set_thms fp_set_thm = map2 (mk_set_thm fp_set_thm) ctr_defs' cxIns;
49585
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
  1028
49682
f57af1c46f99 removed dead params and dead code
blanchet
parents: 49681
diff changeset
  1029
            val map_thms = map2 mk_map_thm ctr_defs' cxIns;
49585
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
  1030
            val set_thmss = map mk_set_thms fp_set_thms;
49127
f7326a0d7f19 implemented "mk_half_distinct_tac"
blanchet
parents: 49126
diff changeset
  1031
49682
f57af1c46f99 removed dead params and dead code
blanchet
parents: 49681
diff changeset
  1032
            val rel_infos = (ctr_defs' ~~ cxIns, ctr_defs' ~~ cyIns);
49585
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
  1033
49682
f57af1c46f99 removed dead params and dead code
blanchet
parents: 49681
diff changeset
  1034
            fun mk_rel_thm postproc ctr_defs' cxIn cyIn =
49585
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
  1035
              fold_thms lthy ctr_defs'
51745
a06a3c777add simplify "Inl () = Inr ()" as well (not entirely clear why this is necessary)
blanchet
parents: 51551
diff changeset
  1036
                 (unfold_thms lthy (@{thm Inl_Inr_False} :: pre_rel_def ::
a06a3c777add simplify "Inl () = Inr ()" as well (not entirely clear why this is necessary)
blanchet
parents: 51551
diff changeset
  1037
                      (if lfp then [] else [dtor_ctor]) @ sum_prod_thms_rel)
49585
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
  1038
                    (cterm_instantiate_pos (nones @ [SOME cxIn, SOME cyIn]) fp_rel_thm))
49593
c958f282b382 get rid of shaky "Thm.generalize"
blanchet
parents: 49592
diff changeset
  1039
              |> postproc
c958f282b382 get rid of shaky "Thm.generalize"
blanchet
parents: 49592
diff changeset
  1040
              |> singleton (Proof_Context.export names_lthy no_defs_lthy);
49585
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
  1041
49682
f57af1c46f99 removed dead params and dead code
blanchet
parents: 49681
diff changeset
  1042
            fun mk_rel_inject_thm ((ctr_def', cxIn), (_, cyIn)) =
f57af1c46f99 removed dead params and dead code
blanchet
parents: 49681
diff changeset
  1043
              mk_rel_thm (unfold_thms lthy @{thms eq_sym_Unity_conv}) [ctr_def'] cxIn cyIn;
49585
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
  1044
49592
b859a02c1150 fixed "rels" + split them into injectivity and distinctness
blanchet
parents: 49591
diff changeset
  1045
            val rel_inject_thms = map mk_rel_inject_thm (op ~~ rel_infos);
49585
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
  1046
49682
f57af1c46f99 removed dead params and dead code
blanchet
parents: 49681
diff changeset
  1047
            fun mk_half_rel_distinct_thm ((xctr_def', cxIn), (yctr_def', cyIn)) =
49585
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
  1048
              mk_rel_thm (fn thm => thm RS @{thm eq_False[THEN iffD1]}) [xctr_def', yctr_def']
49682
f57af1c46f99 removed dead params and dead code
blanchet
parents: 49681
diff changeset
  1049
                cxIn cyIn;
49121
9e0acaa470ab more work on FP sugar
blanchet
parents: 49119
diff changeset
  1050
49592
b859a02c1150 fixed "rels" + split them into injectivity and distinctness
blanchet
parents: 49591
diff changeset
  1051
            fun mk_other_half_rel_distinct_thm thm =
49585
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
  1052
              flip_rels lthy live thm RS (rel_flip RS sym RS @{thm arg_cong[of _ _ Not]} RS iffD2);
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
  1053
49592
b859a02c1150 fixed "rels" + split them into injectivity and distinctness
blanchet
parents: 49591
diff changeset
  1054
            val half_rel_distinct_thmss =
b859a02c1150 fixed "rels" + split them into injectivity and distinctness
blanchet
parents: 49591
diff changeset
  1055
              map (map mk_half_rel_distinct_thm) (mk_half_pairss rel_infos);
b859a02c1150 fixed "rels" + split them into injectivity and distinctness
blanchet
parents: 49591
diff changeset
  1056
            val other_half_rel_distinct_thmss =
b859a02c1150 fixed "rels" + split them into injectivity and distinctness
blanchet
parents: 49591
diff changeset
  1057
              map (map mk_other_half_rel_distinct_thm) half_rel_distinct_thmss;
b859a02c1150 fixed "rels" + split them into injectivity and distinctness
blanchet
parents: 49591
diff changeset
  1058
            val (rel_distinct_thms, _) =
b859a02c1150 fixed "rels" + split them into injectivity and distinctness
blanchet
parents: 49591
diff changeset
  1059
              join_halves n half_rel_distinct_thmss other_half_rel_distinct_thmss;
49134
846264f80f16 optionally provide extra dead variables to the FP constructions
blanchet
parents: 49130
diff changeset
  1060
49585
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
  1061
            val notes =
49594
55e798614c45 tweaked theorem names (in particular, dropped s's)
blanchet
parents: 49593
diff changeset
  1062
              [(mapN, map_thms, code_simp_attrs),
49592
b859a02c1150 fixed "rels" + split them into injectivity and distinctness
blanchet
parents: 49591
diff changeset
  1063
               (rel_distinctN, rel_distinct_thms, code_simp_attrs),
b859a02c1150 fixed "rels" + split them into injectivity and distinctness
blanchet
parents: 49591
diff changeset
  1064
               (rel_injectN, rel_inject_thms, code_simp_attrs),
49585
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
  1065
               (setsN, flat set_thmss, code_simp_attrs)]
51780
67e4ed510dfb register coinductive type's coinduct rule
blanchet
parents: 51777
diff changeset
  1066
              |> massage_simple_notes fp_b_name;
49585
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
  1067
          in
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
  1068
            (ctr_wrap_res, lthy |> Local_Theory.notes notes |> snd)
49585
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
  1069
          end;
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
  1070
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
  1071
        fun define_fold_rec no_defs_lthy =
49134
846264f80f16 optionally provide extra dead variables to the FP constructions
blanchet
parents: 49130
diff changeset
  1072
          let
49208
blanchet
parents: 49207
diff changeset
  1073
            val fpT_to_C = fpT --> C;
49199
7c9a3c67c55d added high-level recursor, not yet curried
blanchet
parents: 49184
diff changeset
  1074
49681
aa66ea552357 changed type of corecursor for the nested recursion case
blanchet
parents: 49672
diff changeset
  1075
            fun build_prod_proj mk_proj (T, U) =
49670
c7a034d01936 changed the type of the recursor for nested recursion
blanchet
parents: 49636
diff changeset
  1076
              if T = U then
c7a034d01936 changed the type of the recursor for nested recursion
blanchet
parents: 49636
diff changeset
  1077
                id_const T
c7a034d01936 changed the type of the recursor for nested recursion
blanchet
parents: 49636
diff changeset
  1078
              else
c7a034d01936 changed the type of the recursor for nested recursion
blanchet
parents: 49636
diff changeset
  1079
                (case (T, U) of
c7a034d01936 changed the type of the recursor for nested recursion
blanchet
parents: 49636
diff changeset
  1080
                  (Type (s, _), Type (s', _)) =>
51808
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
  1081
                  if s = s' then build_map lthy (build_prod_proj mk_proj) T U else mk_proj T
49670
c7a034d01936 changed the type of the recursor for nested recursion
blanchet
parents: 49636
diff changeset
  1082
                | _ => mk_proj T);
c7a034d01936 changed the type of the recursor for nested recursion
blanchet
parents: 49636
diff changeset
  1083
49681
aa66ea552357 changed type of corecursor for the nested recursion case
blanchet
parents: 49672
diff changeset
  1084
            (* TODO: Avoid these complications; cf. corec case *)
49672
902b24e0ffb4 fixed recursor definition for datatypes with inner products (e.g. "'a trm" from the lambda-term example)
blanchet
parents: 49671
diff changeset
  1085
            fun mk_U proj (Type (s as @{type_name prod}, Ts as [T', U])) =
902b24e0ffb4 fixed recursor definition for datatypes with inner products (e.g. "'a trm" from the lambda-term example)
blanchet
parents: 49671
diff changeset
  1086
                if member (op =) fpTs T' then proj (T', U) else Type (s, map (mk_U proj) Ts)
49670
c7a034d01936 changed the type of the recursor for nested recursion
blanchet
parents: 49636
diff changeset
  1087
              | mk_U proj (Type (s, Ts)) = Type (s, map (mk_U proj) Ts)
c7a034d01936 changed the type of the recursor for nested recursion
blanchet
parents: 49636
diff changeset
  1088
              | mk_U _ T = T;
c7a034d01936 changed the type of the recursor for nested recursion
blanchet
parents: 49636
diff changeset
  1089
51794
a1ffbc36323a tuning in preparation for actual changes
blanchet
parents: 51793
diff changeset
  1090
            fun unzip_rec (x as Free (_, T)) =
51808
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
  1091
              if exists_subtype_in fpTs T then
51794
a1ffbc36323a tuning in preparation for actual changes
blanchet
parents: 51793
diff changeset
  1092
                ([build_prod_proj fst_const (T, mk_U fst T) $ x],
a1ffbc36323a tuning in preparation for actual changes
blanchet
parents: 51793
diff changeset
  1093
                 [build_prod_proj snd_const (T, mk_U snd T) $ x])
49670
c7a034d01936 changed the type of the recursor for nested recursion
blanchet
parents: 49636
diff changeset
  1094
              else
51794
a1ffbc36323a tuning in preparation for actual changes
blanchet
parents: 51793
diff changeset
  1095
                ([x], []);
49670
c7a034d01936 changed the type of the recursor for nested recursion
blanchet
parents: 49636
diff changeset
  1096
51793
22f22172a361 started working on compatibility with old package's recursor
blanchet
parents: 51790
diff changeset
  1097
            fun mk_rec_like_arg f xs =
51794
a1ffbc36323a tuning in preparation for actual changes
blanchet
parents: 51793
diff changeset
  1098
              mk_tupled_fun (HOLogic.mk_tuple xs) f (flat_rec unzip_rec xs);
49670
c7a034d01936 changed the type of the recursor for nested recursion
blanchet
parents: 49636
diff changeset
  1099
c7a034d01936 changed the type of the recursor for nested recursion
blanchet
parents: 49636
diff changeset
  1100
            fun generate_rec_like (suf, fp_rec_like, (fss, f_Tss, xsss)) =
49215
blanchet
parents: 49214
diff changeset
  1101
              let
blanchet
parents: 49214
diff changeset
  1102
                val res_T = fold_rev (curry (op --->)) f_Tss fpT_to_C;
49633
5b5450bc544c compatibility option to use "rep_datatype"
blanchet
parents: 49622
diff changeset
  1103
                val binding = qualify false fp_b_name (Binding.suffix_name ("_" ^ suf) fp_b);
49215
blanchet
parents: 49214
diff changeset
  1104
                val spec =
49336
blanchet
parents: 49330
diff changeset
  1105
                  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
  1106
                    Term.list_comb (fp_rec_like,
49670
c7a034d01936 changed the type of the recursor for nested recursion
blanchet
parents: 49636
diff changeset
  1107
                      map2 (mk_sum_caseN_balanced oo map2 mk_rec_like_arg) fss xsss));
49336
blanchet
parents: 49330
diff changeset
  1108
              in (binding, spec) end;
49199
7c9a3c67c55d added high-level recursor, not yet curried
blanchet
parents: 49184
diff changeset
  1109
49504
df9b897fb254 renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents: 49502
diff changeset
  1110
            val rec_like_infos =
df9b897fb254 renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents: 49502
diff changeset
  1111
              [(foldN, fp_fold, fold_only),
49215
blanchet
parents: 49214
diff changeset
  1112
               (recN, fp_rec, rec_only)];
blanchet
parents: 49214
diff changeset
  1113
49504
df9b897fb254 renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents: 49502
diff changeset
  1114
            val (bindings, specs) = map generate_rec_like rec_like_infos |> split_list;
49215
blanchet
parents: 49214
diff changeset
  1115
blanchet
parents: 49214
diff changeset
  1116
            val ((csts, defs), (lthy', lthy)) = no_defs_lthy
49201
blanchet
parents: 49200
diff changeset
  1117
              |> apfst split_list o fold_map2 (fn b => fn spec =>
49199
7c9a3c67c55d added high-level recursor, not yet curried
blanchet
parents: 49184
diff changeset
  1118
                Specification.definition (SOME (b, NONE, NoSyn), ((Thm.def_binding b, []), spec))
49336
blanchet
parents: 49330
diff changeset
  1119
                #>> apsnd snd) bindings specs
49199
7c9a3c67c55d added high-level recursor, not yet curried
blanchet
parents: 49184
diff changeset
  1120
              ||> `Local_Theory.restore;
49201
blanchet
parents: 49200
diff changeset
  1121
blanchet
parents: 49200
diff changeset
  1122
            val phi = Proof_Context.export_morphism lthy lthy';
blanchet
parents: 49200
diff changeset
  1123
49504
df9b897fb254 renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents: 49502
diff changeset
  1124
            val [fold_def, rec_def] = map (Morphism.thm phi) defs;
49201
blanchet
parents: 49200
diff changeset
  1125
49536
898aea2e7a94 started work on generation of "rel" theorems
blanchet
parents: 49518
diff changeset
  1126
            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
  1127
          in
49693
393d7242adaf thread the right local theory through + reenable parallel proofs for previously problematic theories
blanchet
parents: 49683
diff changeset
  1128
            ((foldx, recx, fold_def, rec_def), lthy')
49134
846264f80f16 optionally provide extra dead variables to the FP constructions
blanchet
parents: 49130
diff changeset
  1129
          end;
846264f80f16 optionally provide extra dead variables to the FP constructions
blanchet
parents: 49130
diff changeset
  1130
49585
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
  1131
        fun define_unfold_corec no_defs_lthy =
49210
656fb50d33f0 define coiterators
blanchet
parents: 49209
diff changeset
  1132
          let
656fb50d33f0 define coiterators
blanchet
parents: 49209
diff changeset
  1133
            val B_to_fpT = C --> fpT;
49211
239a4fa29ddf define corecursors
blanchet
parents: 49210
diff changeset
  1134
49683
78a3d5006cf1 continued changing type of corec type
blanchet
parents: 49682
diff changeset
  1135
            fun build_sum_inj mk_inj (T, U) =
78a3d5006cf1 continued changing type of corec type
blanchet
parents: 49682
diff changeset
  1136
              if T = U then
78a3d5006cf1 continued changing type of corec type
blanchet
parents: 49682
diff changeset
  1137
                id_const T
78a3d5006cf1 continued changing type of corec type
blanchet
parents: 49682
diff changeset
  1138
              else
78a3d5006cf1 continued changing type of corec type
blanchet
parents: 49682
diff changeset
  1139
                (case (T, U) of
78a3d5006cf1 continued changing type of corec type
blanchet
parents: 49682
diff changeset
  1140
                  (Type (s, _), Type (s', _)) =>
51808
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
  1141
                  if s = s' then build_map lthy (build_sum_inj mk_inj) T U
49683
78a3d5006cf1 continued changing type of corec type
blanchet
parents: 49682
diff changeset
  1142
                  else uncurry mk_inj (dest_sumT U)
78a3d5006cf1 continued changing type of corec type
blanchet
parents: 49682
diff changeset
  1143
                | _ => uncurry mk_inj (dest_sumT U));
78a3d5006cf1 continued changing type of corec type
blanchet
parents: 49682
diff changeset
  1144
78a3d5006cf1 continued changing type of corec type
blanchet
parents: 49682
diff changeset
  1145
            fun build_dtor_corec_like_arg _ [] [cf] = cf
78a3d5006cf1 continued changing type of corec type
blanchet
parents: 49682
diff changeset
  1146
              | build_dtor_corec_like_arg T [cq] [cf, cf'] =
78a3d5006cf1 continued changing type of corec type
blanchet
parents: 49682
diff changeset
  1147
                mk_If cq (build_sum_inj Inl_const (fastype_of cf, T) $ cf)
78a3d5006cf1 continued changing type of corec type
blanchet
parents: 49682
diff changeset
  1148
                  (build_sum_inj Inr_const (fastype_of cf', T) $ cf')
78a3d5006cf1 continued changing type of corec type
blanchet
parents: 49682
diff changeset
  1149
78a3d5006cf1 continued changing type of corec type
blanchet
parents: 49682
diff changeset
  1150
            val crgsss = map3 (map3 (map3 build_dtor_corec_like_arg)) g_Tsss crssss cgssss;
78a3d5006cf1 continued changing type of corec type
blanchet
parents: 49682
diff changeset
  1151
            val cshsss = map3 (map3 (map3 build_dtor_corec_like_arg)) h_Tsss csssss chssss;
78a3d5006cf1 continued changing type of corec type
blanchet
parents: 49682
diff changeset
  1152
49276
59fa53ed7507 finished splitting sum types for corecursors
blanchet
parents: 49275
diff changeset
  1153
            fun mk_preds_getterss_join c n cps sum_prod_T cqfss =
59fa53ed7507 finished splitting sum types for corecursors
blanchet
parents: 49275
diff changeset
  1154
              Term.lambda c (mk_IfN sum_prod_T cps
59fa53ed7507 finished splitting sum types for corecursors
blanchet
parents: 49275
diff changeset
  1155
                (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
  1156
49683
78a3d5006cf1 continued changing type of corec type
blanchet
parents: 49682
diff changeset
  1157
            fun generate_corec_like (suf, fp_rec_like, (cqfsss, ((pfss, _, _), (f_sum_prod_Ts, _,
78a3d5006cf1 continued changing type of corec type
blanchet
parents: 49682
diff changeset
  1158
                pf_Tss)))) =
49211
239a4fa29ddf define corecursors
blanchet
parents: 49210
diff changeset
  1159
              let
239a4fa29ddf define corecursors
blanchet
parents: 49210
diff changeset
  1160
                val res_T = fold_rev (curry (op --->)) pf_Tss B_to_fpT;
49633
5b5450bc544c compatibility option to use "rep_datatype"
blanchet
parents: 49622
diff changeset
  1161
                val binding = qualify false fp_b_name (Binding.suffix_name ("_" ^ suf) fp_b);
49211
239a4fa29ddf define corecursors
blanchet
parents: 49210
diff changeset
  1162
                val spec =
49336
blanchet
parents: 49330
diff changeset
  1163
                  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
  1164
                    Term.list_comb (fp_rec_like,
49276
59fa53ed7507 finished splitting sum types for corecursors
blanchet
parents: 49275
diff changeset
  1165
                      map5 mk_preds_getterss_join cs ns cpss f_sum_prod_Ts cqfsss));
49336
blanchet
parents: 49330
diff changeset
  1166
              in (binding, spec) end;
49210
656fb50d33f0 define coiterators
blanchet
parents: 49209
diff changeset
  1167
49504
df9b897fb254 renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents: 49502
diff changeset
  1168
            val corec_like_infos =
49683
78a3d5006cf1 continued changing type of corec type
blanchet
parents: 49682
diff changeset
  1169
              [(unfoldN, fp_fold, (crgsss, unfold_only)),
78a3d5006cf1 continued changing type of corec type
blanchet
parents: 49682
diff changeset
  1170
               (corecN, fp_rec, (cshsss, corec_only))];
49212
ca59649170b0 more sugar on codatatypes
blanchet
parents: 49211
diff changeset
  1171
49504
df9b897fb254 renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents: 49502
diff changeset
  1172
            val (bindings, specs) = map generate_corec_like corec_like_infos |> split_list;
49211
239a4fa29ddf define corecursors
blanchet
parents: 49210
diff changeset
  1173
239a4fa29ddf define corecursors
blanchet
parents: 49210
diff changeset
  1174
            val ((csts, defs), (lthy', lthy)) = no_defs_lthy
49210
656fb50d33f0 define coiterators
blanchet
parents: 49209
diff changeset
  1175
              |> apfst split_list o fold_map2 (fn b => fn spec =>
656fb50d33f0 define coiterators
blanchet
parents: 49209
diff changeset
  1176
                Specification.definition (SOME (b, NONE, NoSyn), ((Thm.def_binding b, []), spec))
49336
blanchet
parents: 49330
diff changeset
  1177
                #>> apsnd snd) bindings specs
49210
656fb50d33f0 define coiterators
blanchet
parents: 49209
diff changeset
  1178
              ||> `Local_Theory.restore;
656fb50d33f0 define coiterators
blanchet
parents: 49209
diff changeset
  1179
656fb50d33f0 define coiterators
blanchet
parents: 49209
diff changeset
  1180
            val phi = Proof_Context.export_morphism lthy lthy';
656fb50d33f0 define coiterators
blanchet
parents: 49209
diff changeset
  1181
49504
df9b897fb254 renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents: 49502
diff changeset
  1182
            val [unfold_def, corec_def] = map (Morphism.thm phi) defs;
49210
656fb50d33f0 define coiterators
blanchet
parents: 49209
diff changeset
  1183
49536
898aea2e7a94 started work on generation of "rel" theorems
blanchet
parents: 49518
diff changeset
  1184
            val [unfold, corec] = map (mk_rec_like lfp As Cs o Morphism.term phi) csts;
49210
656fb50d33f0 define coiterators
blanchet
parents: 49209
diff changeset
  1185
          in
49693