src/HOL/BNF/Tools/bnf_fp_def_sugar.ML
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simpler, more robust iterator goal construction code
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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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  type fp_sugar =
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    {T: typ,
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     fp: BNF_FP_Util.fp_kind,
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     index: int,
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     pre_bnfs: BNF_Def.bnf list,
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     fp_res: BNF_FP_Util.fp_result,
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     ctr_defss: thm list list,
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     ctr_sugars: BNF_Ctr_Sugar.ctr_sugar list,
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     un_folds: term list,
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     co_recs: term list,
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     co_induct: thm,
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     strong_co_induct: thm,
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     un_fold_thmss: thm list list,
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     co_rec_thmss: thm list list};
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  val of_fp_sugar: (fp_sugar -> 'a list) -> fp_sugar -> 'a
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  val morph_fp_sugar: morphism -> fp_sugar -> fp_sugar
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  val fp_sugar_of: Proof.context -> string -> fp_sugar option
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  val tvar_subst: theory -> typ list -> typ list -> ((string * int) * typ) list
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  val exists_subtype_in: typ list -> typ -> bool
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  val flat_rec: 'a list list -> 'a list
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  val mk_co_iter: theory -> BNF_FP_Util.fp_kind -> typ -> typ list -> term -> term
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  val nesty_bnfs: Proof.context -> typ list list list -> typ list -> BNF_Def.bnf list
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  val indexify_fst: ''a list -> (int -> ''a * 'b -> 'c) -> ''a * 'b -> 'c
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  val mk_un_fold_co_rec_prelims: BNF_FP_Util.fp_kind -> typ list -> typ list -> int list ->
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    int list list -> term list -> term list -> Proof.context ->
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    (term list * term list
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       * ((typ list list * typ list list list list * term list list * term list list list list)
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          * (typ list list * typ list list list list * term list list
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             * term list list list list)) option
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     * (term list * term list list
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        * ((term list list * term list list list list * term list list list list)
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           * (typ list * typ list list list * typ list list))
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        * ((term list list * term list list list list * term list list list list)
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           * (typ list * typ list list list * typ list list))) option)
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    * Proof.context
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  val mk_map: int -> typ list -> typ list -> term -> term
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  val build_map: local_theory -> (typ * typ -> term) -> typ * typ -> term
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  val mk_iter_fun_arg_typessss: typ list -> int list -> int list list -> term ->
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    typ list list list list
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  val define_fold_rec:
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    (typ list list * typ list list list list * term list list * term list list list list)
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     * (typ list list * typ list list list list * term list list * term list list list list) ->
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    (string -> binding) -> typ list -> typ list -> term -> term -> Proof.context ->
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    (term * term * thm * thm) * Proof.context
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  val define_unfold_corec: term list * term list list
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      * ((term list list * term list list list list * term list list list list)
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         * (typ list * typ list list list * typ list list))
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      * ((term list list * term list list list list * term list list list list)
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         * (typ list * typ list list list * typ list list)) ->
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    (string -> binding) -> typ list -> typ list -> term -> term -> Proof.context ->
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    (term * term * thm * thm) * Proof.context
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  val derive_induct_fold_rec_thms_for_types: BNF_Def.bnf list -> term list -> term list -> thm ->
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    thm list -> thm list -> BNF_Def.bnf list -> BNF_Def.bnf list -> typ list -> typ list ->
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    term list list -> thm list list -> term list -> term list -> thm list -> thm list ->
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    local_theory ->
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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: BNF_Def.bnf list -> term list -> term list ->
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    thm -> thm -> thm list -> thm list -> thm list -> BNF_Def.bnf list -> BNF_Def.bnf list ->
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    typ list -> typ list -> typ list -> int list list -> int list list -> int list ->
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    thm list list -> BNF_Ctr_Sugar.ctr_sugar list -> term list -> term list -> thm list ->
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    thm list -> local_theory ->
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    (thm * thm list * thm * thm 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) * (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 co_datatypes: BNF_FP_Util.fp_kind -> (mixfix list -> binding list -> binding list ->
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      binding list list -> binding list -> (string * sort) list -> typ list * typ list list ->
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      BNF_Def.bnf list -> local_theory -> BNF_FP_Util.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_co_datatype_cmd: BNF_FP_Util.fp_kind -> (mixfix list -> binding list -> binding list ->
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      binding list list -> binding list -> (string * sort) list -> typ list * typ list list ->
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      BNF_Def.bnf list -> local_theory -> BNF_FP_Util.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_Util
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open BNF_FP_Def_Sugar_Tactics
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val EqN = "Eq_";
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type fp_sugar =
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  {T: typ,
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   fp: fp_kind,
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   index: int,
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   pre_bnfs: bnf list,
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   fp_res: fp_result,
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   ctr_defss: thm list list,
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   ctr_sugars: ctr_sugar list,
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   un_folds: term list,
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   co_recs: term list,
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   co_induct: thm,
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   strong_co_induct: thm,
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   un_fold_thmss: thm list list,
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   co_rec_thmss: thm list list};
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fun of_fp_sugar f (fp_sugar as {index, ...}) = nth (f fp_sugar) index;
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fun eq_fp_sugar ({T = T1, fp = fp1, index = index1, fp_res = fp_res1, ...} : fp_sugar,
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    {T = T2, fp = fp2, index = index2, fp_res = fp_res2, ...} : fp_sugar) =
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  T1 = T2 andalso fp1 = fp2 andalso index1 = index2 andalso eq_fp_result (fp_res1, fp_res2);
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fun morph_fp_sugar phi {T, fp, index, pre_bnfs, fp_res, ctr_defss, ctr_sugars, un_folds,
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    co_recs, co_induct, strong_co_induct, un_fold_thmss, co_rec_thmss} =
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  {T = Morphism.typ phi T, fp = fp, index = index, pre_bnfs = map (morph_bnf phi)
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   pre_bnfs, fp_res = morph_fp_result phi fp_res,
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   ctr_defss = map (map (Morphism.thm phi)) ctr_defss,
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   ctr_sugars = map (morph_ctr_sugar phi) ctr_sugars, un_folds = map (Morphism.term phi) un_folds,
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   co_recs = map (Morphism.term phi) co_recs, co_induct = Morphism.thm phi co_induct,
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   strong_co_induct = Morphism.thm phi strong_co_induct,
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   un_fold_thmss = map (map (Morphism.thm phi)) un_fold_thmss,
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   co_rec_thmss = map (map (Morphism.thm phi)) co_rec_thmss};
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structure Data = Generic_Data
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(
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  type T = fp_sugar Symtab.table;
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  val empty = Symtab.empty;
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  val extend = I;
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  val merge = Symtab.merge eq_fp_sugar;
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);
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val fp_sugar_of = Symtab.lookup o Data.get o Context.Proof;
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fun register_fp_sugar key fp_sugar =
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  Local_Theory.declaration {syntax = false, pervasive = true}
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    (fn phi => Data.map (Symtab.update_new (key, morph_fp_sugar phi fp_sugar)));
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fun register_fp_sugars fp pre_bnfs (fp_res as {Ts, ...}) ctr_defss ctr_sugars un_folds co_recs
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    co_induct strong_co_induct un_fold_thmss co_rec_thmss lthy =
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  (0, lthy)
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  |> fold (fn T as Type (s, _) => fn (kk, lthy) => (kk + 1,
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    register_fp_sugar s {T = T, fp = fp, index = kk, pre_bnfs = pre_bnfs, fp_res = fp_res,
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      ctr_defss = ctr_defss, ctr_sugars = ctr_sugars, un_folds = un_folds, co_recs = co_recs,
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      co_induct = co_induct, strong_co_induct = strong_co_induct, un_fold_thmss = un_fold_thmss,
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      co_rec_thmss = co_rec_thmss} lthy)) Ts
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  |> snd;
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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 tvar_subst thy Ts Us =
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  Vartab.fold (cons o apsnd snd) (fold (Sign.typ_match thy) (Ts ~~ Us) Vartab.empty) [];
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val exists_subtype_in = Term.exists_subtype o member (op =);
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fun resort_tfree S (TFree (s, _)) = TFree (s, S);
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fun typ_subst_nonatomic 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_nonatomic inst) Ts)
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    | SOME T' => T')
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  | typ_subst_nonatomic inst T = the_default T (AList.lookup (op =) inst T);
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val lists_bmoc = fold (fn xs => fn t => Term.list_comb (t, xs));
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fun flat_rec xss =
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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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  flat xss
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*)
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  map hd xss @ maps tl xss;
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fun flat_predss_getterss qss fss = maps (op @) (qss ~~ fss);
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fun flat_preds_predsss_gettersss [] [qss] [fss] = flat_predss_getterss qss fss
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  | flat_preds_predsss_gettersss (p :: ps) (qss :: qsss) (fss :: fsss) =
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    p :: flat_predss_getterss qss fss @ flat_preds_predsss_gettersss ps qsss fsss;
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fun mk_tupled_fun x f xs = HOLogic.tupled_lambda x (Term.list_comb (f, xs));
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fun mk_uncurried_fun f xs = mk_tupled_fun (HOLogic.mk_tuple xs) f xs;
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fun mk_uncurried2_fun f xss =
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  mk_tupled_fun (HOLogic.mk_tuple (map HOLogic.mk_tuple xss)) f (flat_rec xss);
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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_co_iter thy fp fpT Cs t =
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  let
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    val (bindings, body) = strip_type (fastype_of t);
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    val (f_Cs, prebody) = split_last bindings;
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    val fpT0 = if fp = Least_FP then prebody else body;
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    val Cs0 = distinct (op =) (map (if fp = Least_FP then body_type else domain_type) f_Cs);
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    val rho = tvar_subst thy (fpT0 :: Cs0) (fpT :: Cs);
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  in
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    Term.subst_TVars rho t
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  end;
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fun mk_co_iters thy fp fpTs Cs ts0 =
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  let
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    val nn = length fpTs;
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    val (fpTs0, Cs0) =
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      map ((fp = Greatest_FP ? swap) o dest_funT o snd o strip_typeN nn o fastype_of) ts0
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      |> split_list;
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    val rho = tvar_subst thy (fpTs0 @ Cs0) (fpTs @ Cs);
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  in
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    map (Term.subst_TVars rho) ts0
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  end;
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val mk_fp_iter_fun_types = fst o split_last o binder_types o fastype_of;
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fun project_co_recT special_Tname Cs proj =
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  let
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    fun project (Type (s, Ts as [T, U])) =
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        if s = special_Tname andalso member (op =) Cs U then proj (T, U)
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        else Type (s, map project Ts)
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      | project (Type (s, Ts)) = Type (s, map project Ts)
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      | project T = T;
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  in project end;
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val project_corecT = project_co_recT @{type_name sum};
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fun unzip_recT Cs (T as Type (@{type_name prod}, Ts as [_, U])) =
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    if member (op =) Cs U then Ts else [T]
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  | unzip_recT _ T = [T];
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fun mk_fun_arg_typess n ms = map2 dest_tupleT ms o dest_sumTN_balanced n o domain_type;
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fun mk_iter_fun_arg_typessss Cs ns mss =
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  mk_fp_iter_fun_types
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  #> map3 mk_fun_arg_typess ns mss
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  #> map (map (map (unzip_recT Cs)));
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fun mk_fold_rec_args_types Cs ns mss ctor_fold_fun_Ts ctor_rec_fun_Ts lthy =
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  let
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    val Css = map2 replicate ns Cs;
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    val y_Tsss = map3 mk_fun_arg_typess ns mss ctor_fold_fun_Ts;
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    val g_Tss = map2 (fn C => map (fn y_Ts => y_Ts ---> C)) Cs y_Tsss;
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    val ((gss, ysss), lthy) =
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      lthy
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      |> mk_Freess "f" g_Tss
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      ||>> mk_Freesss "x" y_Tsss;
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    val y_Tssss = map (map (map single)) y_Tsss;
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    val yssss = map (map (map single)) ysss;
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    val z_Tssss =
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      map3 (fn n => fn ms => map2 (map (unzip_recT Cs) oo dest_tupleT) ms o
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        dest_sumTN_balanced n o domain_type) ns mss ctor_rec_fun_Ts;
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    val z_Tsss' = map (map flat_rec) z_Tssss;
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    val h_Tss = map2 (map2 (curry (op --->))) z_Tsss' Css;
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    val hss = map2 (map2 retype_free) h_Tss gss;
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    val zssss_hd = map2 (map2 (map2 (retype_free o hd))) z_Tssss ysss;
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    val (zssss_tl, lthy) =
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      lthy
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      |> mk_Freessss "y" (map (map (map tl)) z_Tssss);
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    val zssss = map2 (map2 (map2 cons)) zssss_hd zssss_tl;
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  in
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    (((g_Tss, y_Tssss, gss, yssss), (h_Tss, z_Tssss, hss, zssss)), lthy)
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  end;
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fun mk_unfold_corec_args_types Cs ns mss dtor_unfold_fun_Ts dtor_corec_fun_Ts lthy =
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  let
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    (*avoid "'a itself" arguments in coiterators and corecursors*)
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    fun repair_arity [0] = [1]
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      | repair_arity ms = ms;
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    fun unzip_corecT T =
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      if exists_subtype_in Cs T then [project_corecT Cs fst T, project_corecT Cs snd T]
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      else [T];
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    val p_Tss = map2 (fn n => replicate (Int.max (0, n - 1)) o mk_pred1T) ns Cs;
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    fun mk_types maybe_unzipT fun_Ts =
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      let
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        val f_sum_prod_Ts = map range_type fun_Ts;
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        val f_prod_Tss = map2 dest_sumTN_balanced ns f_sum_prod_Ts;
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        val f_Tsss = map2 (map2 dest_tupleT o repair_arity) mss f_prod_Tss;
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        val f_Tssss = map2 (fn C => map (map (map (curry (op -->) C) o maybe_unzipT))) Cs f_Tsss;
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        val q_Tssss =
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          map (map (map (fn [_] => [] | [_, T] => [mk_pred1T (domain_type T)]))) f_Tssss;
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        val pf_Tss = map3 flat_preds_predsss_gettersss p_Tss q_Tssss f_Tssss;
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      in (q_Tssss, f_Tssss, (f_sum_prod_Ts, f_Tsss, pf_Tss)) end;
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    val (r_Tssss, g_Tssss, unfold_types) = mk_types single dtor_unfold_fun_Ts;
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    val (s_Tssss, h_Tssss, corec_types) = mk_types unzip_corecT dtor_corec_fun_Ts;
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    val (((cs, pss), gssss), lthy) =
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      lthy
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      |> mk_Frees "a" Cs
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      ||>> mk_Freess "p" p_Tss
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      ||>> mk_Freessss "g" g_Tssss;
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    val rssss = map (map (map (fn [] => []))) r_Tssss;
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   342
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    val hssss_hd = map2 (map2 (map2 (fn T :: _ => fn [g] => retype_free T g))) h_Tssss gssss;
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    val ((sssss, hssss_tl), lthy) =
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      lthy
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      |> mk_Freessss "q" s_Tssss
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      ||>> mk_Freessss "h" (map (map (map tl)) h_Tssss);
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    val hssss = map2 (map2 (map2 cons)) hssss_hd hssss_tl;
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    val cpss = map2 (map o rapp) cs pss;
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    fun mk_args qssss fssss =
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      let
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        val pfss = map3 flat_preds_predsss_gettersss pss qssss fssss;
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        val cqssss = map2 (map o map o map o rapp) cs qssss;
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        val cfssss = map2 (map o map o map o rapp) cs fssss;
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      in (pfss, cqssss, cfssss) end;
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    val unfold_args = mk_args rssss gssss;
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    val corec_args = mk_args sssss hssss;
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  in
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    ((cs, cpss, (unfold_args, unfold_types), (corec_args, corec_types)), lthy)
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  end;
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   364
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   365
fun mk_un_fold_co_rec_prelims fp fpTs Cs ns mss fp_folds0 fp_recs0 lthy =
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  let
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    val thy = Proof_Context.theory_of lthy;
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   368
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    val (fp_fold_fun_Ts, fp_folds) = mk_co_iters thy fp fpTs Cs fp_folds0
52173
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      |> `(mk_fp_iter_fun_types o hd);
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    val (fp_rec_fun_Ts, fp_recs) = mk_co_iters thy fp fpTs Cs fp_recs0
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      |> `(mk_fp_iter_fun_types o hd);
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    val ((fold_rec_args_types, unfold_corec_args_types), lthy') =
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      if fp = Least_FP then
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        mk_fold_rec_args_types Cs ns mss fp_fold_fun_Ts fp_rec_fun_Ts lthy
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        |>> (rpair NONE o SOME)
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      else
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        mk_unfold_corec_args_types Cs ns mss fp_fold_fun_Ts fp_rec_fun_Ts lthy
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        |>> (pair NONE o SOME)
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  in
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   382
    ((fp_folds, fp_recs, fold_rec_args_types, unfold_corec_args_types), lthy')
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   383
  end;
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   384
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898aea2e7a94 started work on generation of "rel" theorems
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   385
fun mk_map live Ts Us t =
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   386
  let val (Type (_, Ts0), Type (_, Us0)) = strip_typeN (live + 1) (fastype_of t) |>> List.last in
898aea2e7a94 started work on generation of "rel" theorems
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   387
    Term.subst_atomic_types (Ts0 @ Us0 ~~ Ts @ Us) t
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   388
  end;
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   389
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   390
fun mk_rel live Ts Us t =
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   391
  let val [Type (_, Ts0), Type (_, Us0)] = binder_types (snd (strip_typeN live (fastype_of t))) in
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   392
    Term.subst_atomic_types (Ts0 @ Us0 ~~ Ts @ Us) t
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   393
  end;
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   394
49585
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
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   395
fun liveness_of_fp_bnf n bnf =
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   396
  (case T_of_bnf bnf of
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   397
    Type (_, Ts) => map (not o member (op =) (deads_of_bnf bnf)) Ts
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   398
  | _ => replicate n false);
49536
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diff changeset
   399
49124
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   400
fun cannot_merge_types () = error "Mutually recursive types must have the same type parameters";
49119
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diff changeset
   401
49298
36e551d3af3b support for sort constraints in new (co)data commands
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   402
fun merge_type_arg T T' = if T = T' then T else cannot_merge_types ();
49119
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diff changeset
   403
49298
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   404
fun merge_type_args (As, As') =
36e551d3af3b support for sort constraints in new (co)data commands
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   405
  if length As = length As' then map2 merge_type_arg As As' else cannot_merge_types ();
49119
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diff changeset
   406
49591
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diff changeset
   407
fun reassoc_conjs thm =
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   408
  reassoc_conjs (thm RS @{thm conj_assoc[THEN iffD1]})
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   409
  handle THM _ => thm;
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   410
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   411
fun type_args_named_constrained_of ((((ncAs, _), _), _), _) = ncAs;
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   412
fun type_binding_of ((((_, b), _), _), _) = b;
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   413
fun map_binding_of (((_, (b, _)), _), _) = b;
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   414
fun rel_binding_of (((_, (_, b)), _), _) = b;
49181
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diff changeset
   415
fun mixfix_of ((_, mx), _) = mx;
49121
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   416
fun ctr_specs_of (_, ctr_specs) = ctr_specs;
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diff changeset
   417
49286
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   418
fun disc_of ((((disc, _), _), _), _) = disc;
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   419
fun ctr_of ((((_, ctr), _), _), _) = ctr;
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   420
fun args_of (((_, args), _), _) = args;
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   421
fun defaults_of ((_, ds), _) = ds;
49181
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   422
fun ctr_mixfix_of (_, mx) = mx;
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   423
51907
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   424
fun add_nesty_bnf_names Us =
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   425
  let
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   426
    fun add (Type (s, Ts)) ss =
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   427
        let val (needs, ss') = fold_map add Ts ss in
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   428
          if exists I needs then (true, insert (op =) s ss') else (false, ss')
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   429
        end
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   430
      | add T ss = (member (op =) Us T, ss);
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   431
  in snd oo add end;
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   432
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diff changeset
   433
fun nesty_bnfs ctxt ctr_Tsss Us =
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   434
  map_filter (bnf_of ctxt) (fold (fold (fold (add_nesty_bnf_names Us))) ctr_Tsss []);
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diff changeset
   435
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   436
fun indexify_fst xs f (x, y) = f (find_index (curry (op =) x) xs) (x, y);
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diff changeset
   437
51854
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   438
fun build_map lthy build_simple =
51853
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   439
  let
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   440
    fun build (TU as (T, U)) =
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   441
      if T = U then
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   442
        id_const T
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   443
      else
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   444
        (case TU of
51854
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diff changeset
   445
          (Type (s, Ts), Type (s', Us)) =>
af63d7f52c02 more code rationalization
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   446
          if s = s' then
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   447
            let
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diff changeset
   448
              val bnf = the (bnf_of lthy s);
af63d7f52c02 more code rationalization
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parents: 51853
diff changeset
   449
              val live = live_of_bnf bnf;
af63d7f52c02 more code rationalization
blanchet
parents: 51853
diff changeset
   450
              val mapx = mk_map live Ts Us (map_of_bnf bnf);
af63d7f52c02 more code rationalization
blanchet
parents: 51853
diff changeset
   451
              val TUs' = map dest_funT (fst (strip_typeN live (fastype_of mapx)));
af63d7f52c02 more code rationalization
blanchet
parents: 51853
diff changeset
   452
            in Term.list_comb (mapx, map build TUs') end
af63d7f52c02 more code rationalization
blanchet
parents: 51853
diff changeset
   453
          else
af63d7f52c02 more code rationalization
blanchet
parents: 51853
diff changeset
   454
            build_simple TU
51853
cce8b6ba429d more code rationalization
blanchet
parents: 51852
diff changeset
   455
        | _ => build_simple TU);
cce8b6ba429d more code rationalization
blanchet
parents: 51852
diff changeset
   456
  in build end;
cce8b6ba429d more code rationalization
blanchet
parents: 51852
diff changeset
   457
52298
608afd26a476 killed dead code
blanchet
parents: 52297
diff changeset
   458
fun mk_iter_body ctor_iter fss xssss =
608afd26a476 killed dead code
blanchet
parents: 52297
diff changeset
   459
  Term.list_comb (ctor_iter, map2 (mk_sum_caseN_balanced oo map2 mk_uncurried2_fun) fss xssss);
51884
2928fda12661 factor out construction of iterator
blanchet
parents: 51883
diff changeset
   460
51900
blanchet
parents: 51899
diff changeset
   461
fun mk_preds_getterss_join c cps sum_prod_T cqfss =
blanchet
parents: 51899
diff changeset
   462
  let val n = length cqfss in
blanchet
parents: 51899
diff changeset
   463
    Term.lambda c (mk_IfN sum_prod_T cps
blanchet
parents: 51899
diff changeset
   464
      (map2 (mk_InN_balanced sum_prod_T n) (map HOLogic.mk_tuple cqfss) (1 upto n)))
blanchet
parents: 51899
diff changeset
   465
  end;
51886
e7fac4a483b5 started factoring out coiter construction
blanchet
parents: 51885
diff changeset
   466
51900
blanchet
parents: 51899
diff changeset
   467
fun mk_coiter_body lthy cs cpss f_sum_prod_Ts f_Tsss cqssss cfssss dtor_coiter =
51888
1cbcc0cc6bdf imported patch refactor_coiter_constr
blanchet
parents: 51886
diff changeset
   468
  let
1cbcc0cc6bdf imported patch refactor_coiter_constr
blanchet
parents: 51886
diff changeset
   469
    fun build_sum_inj mk_inj = build_map lthy (uncurry mk_inj o dest_sumT o snd);
1cbcc0cc6bdf imported patch refactor_coiter_constr
blanchet
parents: 51886
diff changeset
   470
1cbcc0cc6bdf imported patch refactor_coiter_constr
blanchet
parents: 51886
diff changeset
   471
    fun build_dtor_coiter_arg _ [] [cf] = cf
1cbcc0cc6bdf imported patch refactor_coiter_constr
blanchet
parents: 51886
diff changeset
   472
      | build_dtor_coiter_arg T [cq] [cf, cf'] =
1cbcc0cc6bdf imported patch refactor_coiter_constr
blanchet
parents: 51886
diff changeset
   473
        mk_If cq (build_sum_inj Inl_const (fastype_of cf, T) $ cf)
1cbcc0cc6bdf imported patch refactor_coiter_constr
blanchet
parents: 51886
diff changeset
   474
          (build_sum_inj Inr_const (fastype_of cf', T) $ cf')
1cbcc0cc6bdf imported patch refactor_coiter_constr
blanchet
parents: 51886
diff changeset
   475
1cbcc0cc6bdf imported patch refactor_coiter_constr
blanchet
parents: 51886
diff changeset
   476
    val cqfsss = map3 (map3 (map3 build_dtor_coiter_arg)) f_Tsss cqssss cfssss;
1cbcc0cc6bdf imported patch refactor_coiter_constr
blanchet
parents: 51886
diff changeset
   477
  in
51900
blanchet
parents: 51899
diff changeset
   478
    Term.list_comb (dtor_coiter, map4 mk_preds_getterss_join cs cpss f_sum_prod_Ts cqfsss)
51888
1cbcc0cc6bdf imported patch refactor_coiter_constr
blanchet
parents: 51886
diff changeset
   479
  end;
51886
e7fac4a483b5 started factoring out coiter construction
blanchet
parents: 51885
diff changeset
   480
52172
1b3f907caf61 killed dead argument
blanchet
parents: 52171
diff changeset
   481
fun define_fold_rec (fold_only, rec_only) mk_binding fpTs Cs ctor_fold ctor_rec lthy0 =
51897
9a27c870ee21 refactoring
blanchet
parents: 51896
diff changeset
   482
  let
52170
564be617ae84 generalized "mk_co_iter" to handle mutualized (co)iterators
blanchet
parents: 52169
diff changeset
   483
    val thy = Proof_Context.theory_of lthy0;
564be617ae84 generalized "mk_co_iter" to handle mutualized (co)iterators
blanchet
parents: 52169
diff changeset
   484
51899
c2c23ac31973 code tuning
blanchet
parents: 51897
diff changeset
   485
    val nn = length fpTs;
c2c23ac31973 code tuning
blanchet
parents: 51897
diff changeset
   486
52170
564be617ae84 generalized "mk_co_iter" to handle mutualized (co)iterators
blanchet
parents: 52169
diff changeset
   487
    val fpT_to_C as Type (_, [fpT, _]) = snd (strip_typeN nn (fastype_of ctor_fold));
51897
9a27c870ee21 refactoring
blanchet
parents: 51896
diff changeset
   488
52301
7935e82a4ae4 simpler, more robust iterator goal construction code
blanchet
parents: 52300
diff changeset
   489
    fun generate_iter (suf, ctor_iter, (f_Tss, _, fss, xssss)) =
51897
9a27c870ee21 refactoring
blanchet
parents: 51896
diff changeset
   490
      let
51899
c2c23ac31973 code tuning
blanchet
parents: 51897
diff changeset
   491
        val res_T = fold_rev (curry (op --->)) f_Tss fpT_to_C;
51897
9a27c870ee21 refactoring
blanchet
parents: 51896
diff changeset
   492
        val binding = mk_binding suf;
9a27c870ee21 refactoring
blanchet
parents: 51896
diff changeset
   493
        val spec =
9a27c870ee21 refactoring
blanchet
parents: 51896
diff changeset
   494
          mk_Trueprop_eq (lists_bmoc fss (Free (Binding.name_of binding, res_T)),
52298
608afd26a476 killed dead code
blanchet
parents: 52297
diff changeset
   495
            mk_iter_body ctor_iter fss xssss);
51897
9a27c870ee21 refactoring
blanchet
parents: 51896
diff changeset
   496
      in (binding, spec) end;
9a27c870ee21 refactoring
blanchet
parents: 51896
diff changeset
   497
9a27c870ee21 refactoring
blanchet
parents: 51896
diff changeset
   498
    val binding_specs =
9a27c870ee21 refactoring
blanchet
parents: 51896
diff changeset
   499
      map generate_iter [(foldN, ctor_fold, fold_only), (recN, ctor_rec, rec_only)];
9a27c870ee21 refactoring
blanchet
parents: 51896
diff changeset
   500
51907
882d850aa3ca export one more function
blanchet
parents: 51906
diff changeset
   501
    val ((csts, defs), (lthy', lthy)) = lthy0
51897
9a27c870ee21 refactoring
blanchet
parents: 51896
diff changeset
   502
      |> apfst split_list o fold_map (fn (b, spec) =>
9a27c870ee21 refactoring
blanchet
parents: 51896
diff changeset
   503
        Specification.definition (SOME (b, NONE, NoSyn), ((Thm.def_binding b, []), spec))
9a27c870ee21 refactoring
blanchet
parents: 51896
diff changeset
   504
        #>> apsnd snd) binding_specs
9a27c870ee21 refactoring
blanchet
parents: 51896
diff changeset
   505
      ||> `Local_Theory.restore;
9a27c870ee21 refactoring
blanchet
parents: 51896
diff changeset
   506
9a27c870ee21 refactoring
blanchet
parents: 51896
diff changeset
   507
    val phi = Proof_Context.export_morphism lthy lthy';
9a27c870ee21 refactoring
blanchet
parents: 51896
diff changeset
   508
9a27c870ee21 refactoring
blanchet
parents: 51896
diff changeset
   509
    val [fold_def, rec_def] = map (Morphism.thm phi) defs;
9a27c870ee21 refactoring
blanchet
parents: 51896
diff changeset
   510
52207
21026c312cc3 tuning -- avoided unreadable true/false all over the place for LFP/GFP
blanchet
parents: 52197
diff changeset
   511
    val [foldx, recx] = map (mk_co_iter thy Least_FP fpT Cs o Morphism.term phi) csts;
51897
9a27c870ee21 refactoring
blanchet
parents: 51896
diff changeset
   512
  in
9a27c870ee21 refactoring
blanchet
parents: 51896
diff changeset
   513
    ((foldx, recx, fold_def, rec_def), lthy')
9a27c870ee21 refactoring
blanchet
parents: 51896
diff changeset
   514
  end;
9a27c870ee21 refactoring
blanchet
parents: 51896
diff changeset
   515
52207
21026c312cc3 tuning -- avoided unreadable true/false all over the place for LFP/GFP
blanchet
parents: 52197
diff changeset
   516
(* TODO: merge with above function? *)
52172
1b3f907caf61 killed dead argument
blanchet
parents: 52171
diff changeset
   517
fun define_unfold_corec (cs, cpss, unfold_only, corec_only) mk_binding fpTs Cs dtor_unfold
51907
882d850aa3ca export one more function
blanchet
parents: 51906
diff changeset
   518
    dtor_corec lthy0 =
51897
9a27c870ee21 refactoring
blanchet
parents: 51896
diff changeset
   519
  let
52170
564be617ae84 generalized "mk_co_iter" to handle mutualized (co)iterators
blanchet
parents: 52169
diff changeset
   520
    val thy = Proof_Context.theory_of lthy0;
564be617ae84 generalized "mk_co_iter" to handle mutualized (co)iterators
blanchet
parents: 52169
diff changeset
   521
51899
c2c23ac31973 code tuning
blanchet
parents: 51897
diff changeset
   522
    val nn = length fpTs;
c2c23ac31973 code tuning
blanchet
parents: 51897
diff changeset
   523
52170
564be617ae84 generalized "mk_co_iter" to handle mutualized (co)iterators
blanchet
parents: 52169
diff changeset
   524
    val C_to_fpT as Type (_, [_, fpT]) = snd (strip_typeN nn (fastype_of dtor_unfold));
51897
9a27c870ee21 refactoring
blanchet
parents: 51896
diff changeset
   525
9a27c870ee21 refactoring
blanchet
parents: 51896
diff changeset
   526
    fun generate_coiter (suf, dtor_coiter, ((pfss, cqssss, cfssss),
9a27c870ee21 refactoring
blanchet
parents: 51896
diff changeset
   527
        (f_sum_prod_Ts, f_Tsss, pf_Tss))) =
9a27c870ee21 refactoring
blanchet
parents: 51896
diff changeset
   528
      let
51899
c2c23ac31973 code tuning
blanchet
parents: 51897
diff changeset
   529
        val res_T = fold_rev (curry (op --->)) pf_Tss C_to_fpT;
51897
9a27c870ee21 refactoring
blanchet
parents: 51896
diff changeset
   530
        val binding = mk_binding suf;
9a27c870ee21 refactoring
blanchet
parents: 51896
diff changeset
   531
        val spec =
9a27c870ee21 refactoring
blanchet
parents: 51896
diff changeset
   532
          mk_Trueprop_eq (lists_bmoc pfss (Free (Binding.name_of binding, res_T)),
51907
882d850aa3ca export one more function
blanchet
parents: 51906
diff changeset
   533
            mk_coiter_body lthy0 cs cpss f_sum_prod_Ts f_Tsss cqssss cfssss dtor_coiter);
51897
9a27c870ee21 refactoring
blanchet
parents: 51896
diff changeset
   534
      in (binding, spec) end;
9a27c870ee21 refactoring
blanchet
parents: 51896
diff changeset
   535
9a27c870ee21 refactoring
blanchet
parents: 51896
diff changeset
   536
    val binding_specs =
9a27c870ee21 refactoring
blanchet
parents: 51896
diff changeset
   537
      map generate_coiter [(unfoldN, dtor_unfold, unfold_only), (corecN, dtor_corec, corec_only)];
9a27c870ee21 refactoring
blanchet
parents: 51896
diff changeset
   538
51907
882d850aa3ca export one more function
blanchet
parents: 51906
diff changeset
   539
    val ((csts, defs), (lthy', lthy)) = lthy0
51897
9a27c870ee21 refactoring
blanchet
parents: 51896
diff changeset
   540
      |> apfst split_list o fold_map (fn (b, spec) =>
9a27c870ee21 refactoring
blanchet
parents: 51896
diff changeset
   541
        Specification.definition (SOME (b, NONE, NoSyn), ((Thm.def_binding b, []), spec))
9a27c870ee21 refactoring
blanchet
parents: 51896
diff changeset
   542
        #>> apsnd snd) binding_specs
9a27c870ee21 refactoring
blanchet
parents: 51896
diff changeset
   543
      ||> `Local_Theory.restore;
9a27c870ee21 refactoring
blanchet
parents: 51896
diff changeset
   544
9a27c870ee21 refactoring
blanchet
parents: 51896
diff changeset
   545
    val phi = Proof_Context.export_morphism lthy lthy';
9a27c870ee21 refactoring
blanchet
parents: 51896
diff changeset
   546
9a27c870ee21 refactoring
blanchet
parents: 51896
diff changeset
   547
    val [unfold_def, corec_def] = map (Morphism.thm phi) defs;
9a27c870ee21 refactoring
blanchet
parents: 51896
diff changeset
   548
52207
21026c312cc3 tuning -- avoided unreadable true/false all over the place for LFP/GFP
blanchet
parents: 52197
diff changeset
   549
    val [unfold, corec] = map (mk_co_iter thy Greatest_FP fpT Cs o Morphism.term phi) csts;
51897
9a27c870ee21 refactoring
blanchet
parents: 51896
diff changeset
   550
  in
9a27c870ee21 refactoring
blanchet
parents: 51896
diff changeset
   551
    ((unfold, corec, unfold_def, corec_def), lthy')
52172
1b3f907caf61 killed dead argument
blanchet
parents: 52171
diff changeset
   552
  end ;
51897
9a27c870ee21 refactoring
blanchet
parents: 51896
diff changeset
   553
52171
blanchet
parents: 52170
diff changeset
   554
fun derive_induct_fold_rec_thms_for_types pre_bnfs ctor_folds ctor_recs ctor_induct ctor_fold_thms
51912
a6b963bc46f0 removed dead argument
blanchet
parents: 51911
diff changeset
   555
    ctor_rec_thms nesting_bnfs nested_bnfs fpTs Cs ctrss ctr_defss folds recs fold_defs rec_defs
51827
836257faaad5 tuned signature
blanchet
parents: 51824
diff changeset
   556
    lthy =
51808
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   557
  let
51827
836257faaad5 tuned signature
blanchet
parents: 51824
diff changeset
   558
    val ctr_Tsss = map (map (binder_types o fastype_of)) ctrss;
836257faaad5 tuned signature
blanchet
parents: 51824
diff changeset
   559
51815
efacb9b99865 tune signatures
blanchet
parents: 51814
diff changeset
   560
    val nn = length pre_bnfs;
51827
836257faaad5 tuned signature
blanchet
parents: 51824
diff changeset
   561
    val ns = map length ctr_Tsss;
836257faaad5 tuned signature
blanchet
parents: 51824
diff changeset
   562
    val mss = map (map length) ctr_Tsss;
51815
efacb9b99865 tune signatures
blanchet
parents: 51814
diff changeset
   563
51808
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   564
    val pre_map_defs = map map_def_of_bnf pre_bnfs;
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   565
    val pre_set_defss = map set_defs_of_bnf pre_bnfs;
51830
blanchet
parents: 51829
diff changeset
   566
    val nesting_map_ids'' = map (unfold_thms lthy @{thms id_def} o map_id_of_bnf) nesting_bnfs;
51808
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   567
    val nested_map_ids'' = map (unfold_thms lthy @{thms id_def} o map_id_of_bnf) nested_bnfs;
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   568
    val nested_set_map's = maps set_map'_of_bnf nested_bnfs;
51808
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   569
51816
5f1dec4297da use base names, not full names
blanchet
parents: 51815
diff changeset
   570
    val fp_b_names = map base_name_of_typ fpTs;
51811
1461426e2bf1 tuned function signatures
blanchet
parents: 51810
diff changeset
   571
52171
blanchet
parents: 52170
diff changeset
   572
    val ctor_fold_fun_Ts = mk_fp_iter_fun_types (hd ctor_folds);
blanchet
parents: 52170
diff changeset
   573
    val ctor_rec_fun_Ts = mk_fp_iter_fun_types (hd ctor_recs);
51827
836257faaad5 tuned signature
blanchet
parents: 51824
diff changeset
   574
52301
7935e82a4ae4 simpler, more robust iterator goal construction code
blanchet
parents: 52300
diff changeset
   575
    val (((_, y_Tssss, gss, _), (_, z_Tssss, hss, _)), names_lthy0) =
52296
45b5935b11b4 slightly nicer ML interface
blanchet
parents: 52295
diff changeset
   576
      mk_fold_rec_args_types Cs ns mss ctor_fold_fun_Ts ctor_rec_fun_Ts lthy;
51827
836257faaad5 tuned signature
blanchet
parents: 51824
diff changeset
   577
51832
blanchet
parents: 51831
diff changeset
   578
    val ((((ps, ps'), xsss), us'), names_lthy) =
blanchet
parents: 51831
diff changeset
   579
      names_lthy0
51808
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   580
      |> mk_Frees' "P" (map mk_pred1T fpTs)
51827
836257faaad5 tuned signature
blanchet
parents: 51824
diff changeset
   581
      ||>> mk_Freesss "x" ctr_Tsss
51816
5f1dec4297da use base names, not full names
blanchet
parents: 51815
diff changeset
   582
      ||>> Variable.variant_fixes fp_b_names;
51808
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   583
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   584
    val us = map2 (curry Free) us' fpTs;
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   585
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   586
    fun mk_sets_nested bnf =
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   587
      let
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   588
        val Type (T_name, Us) = T_of_bnf bnf;
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   589
        val lives = lives_of_bnf bnf;
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   590
        val sets = sets_of_bnf bnf;
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   591
        fun mk_set U =
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   592
          (case find_index (curry (op =) U) lives of
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   593
            ~1 => Term.dummy
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   594
          | i => nth sets i);
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   595
      in
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   596
        (T_name, map mk_set Us)
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   597
      end;
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   598
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   599
    val setss_nested = map mk_sets_nested nested_bnfs;
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   600
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   601
    val (induct_thms, induct_thm) =
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   602
      let
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   603
        fun mk_set Ts t =
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   604
          let val Type (_, Ts0) = domain_type (fastype_of t) in
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   605
            Term.subst_atomic_types (Ts0 ~~ Ts) t
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   606
          end;
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   607
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   608
        fun mk_raw_prem_prems names_lthy (x as Free (s, T as Type (T_name, Ts0))) =
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   609
            (case find_index (curry (op =) T) fpTs of
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   610
              ~1 =>
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   611
              (case AList.lookup (op =) setss_nested T_name of
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   612
                NONE => []
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   613
              | SOME raw_sets0 =>
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   614
                let
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   615
                  val (Ts, raw_sets) =
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   616
                    split_list (filter (exists_subtype_in fpTs o fst) (Ts0 ~~ raw_sets0));
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   617
                  val sets = map (mk_set Ts0) raw_sets;
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   618
                  val (ys, names_lthy') = names_lthy |> mk_Frees s Ts;
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   619
                  val xysets = map (pair x) (ys ~~ sets);
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   620
                  val ppremss = map (mk_raw_prem_prems names_lthy') ys;
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   621
                in
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   622
                  flat (map2 (map o apfst o cons) xysets ppremss)
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   623
                end)
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   624
            | kk => [([], (kk + 1, x))])
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   625
          | mk_raw_prem_prems _ _ = [];
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   626
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   627
        fun close_prem_prem xs t =
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   628
          fold_rev Logic.all (map Free (drop (nn + length xs)
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   629
            (rev (Term.add_frees t (map dest_Free xs @ ps'))))) t;
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   630
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   631
        fun mk_prem_prem xs (xysets, (j, x)) =
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   632
          close_prem_prem xs (Logic.list_implies (map (fn (x', (y, set)) =>
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   633
              HOLogic.mk_Trueprop (HOLogic.mk_mem (y, set $ x'))) xysets,
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   634
            HOLogic.mk_Trueprop (nth ps (j - 1) $ x)));
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   635
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   636
        fun mk_raw_prem phi ctr ctr_Ts =
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   637
          let
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   638
            val (xs, names_lthy') = names_lthy |> mk_Frees "x" ctr_Ts;
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   639
            val pprems = maps (mk_raw_prem_prems names_lthy') xs;
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   640
          in (xs, pprems, HOLogic.mk_Trueprop (phi $ Term.list_comb (ctr, xs))) end;
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   641
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   642
        fun mk_prem (xs, raw_pprems, concl) =
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   643
          fold_rev Logic.all xs (Logic.list_implies (map (mk_prem_prem xs) raw_pprems, concl));
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   644
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   645
        val raw_premss = map3 (map2 o mk_raw_prem) ps ctrss ctr_Tsss;
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   646
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   647
        val goal =
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   648
          Library.foldr (Logic.list_implies o apfst (map mk_prem)) (raw_premss,
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   649
            HOLogic.mk_Trueprop (Library.foldr1 HOLogic.mk_conj (map2 (curry (op $)) ps us)));
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   650
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   651
        val kksss = map (map (map (fst o snd) o #2)) raw_premss;
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   652
51814
blanchet
parents: 51813
diff changeset
   653
        val ctor_induct' = ctor_induct OF (map mk_sumEN_tupled_balanced mss);
51808
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   654
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   655
        val thm =
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   656
          Goal.prove_sorry lthy [] [] goal (fn {context = ctxt, ...} =>
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   657
            mk_induct_tac ctxt nn ns mss kksss (flat ctr_defss) ctor_induct' nested_set_map's
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   658
              pre_set_defss)
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   659
          |> singleton (Proof_Context.export names_lthy lthy)
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   660
          |> Thm.close_derivation;
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   661
      in
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   662
        `(conj_dests nn) thm
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   663
      end;
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   664
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   665
    val induct_cases = quasi_unambiguous_case_names (maps (map name_of_ctr) ctrss);
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   666
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   667
    val (fold_thmss, rec_thmss) =
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   668
      let
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   669
        val xctrss = map2 (map2 (curry Term.list_comb)) ctrss xsss;
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   670
        val gfolds = map (lists_bmoc gss) folds;
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   671
        val hrecs = map (lists_bmoc hss) recs;
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   672
51843
899663644482 rationalized terminology (iterator = fold or rec, xxfoo = (co)foo or (un)foo)
blanchet
parents: 51842
diff changeset
   673
        fun mk_goal fss fiter xctr f xs fxs =
51808
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   674
          fold_rev (fold_rev Logic.all) (xs :: fss)
51843
899663644482 rationalized terminology (iterator = fold or rec, xxfoo = (co)foo or (un)foo)
blanchet
parents: 51842
diff changeset
   675
            (mk_Trueprop_eq (fiter $ xctr, Term.list_comb (f, fxs)));
51808
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   676
52214
4cc5a80bba80 generalized recursors, effectively reverting inductive half of c7a034d01936
blanchet
parents: 52213
diff changeset
   677
        fun tick u f = Term.lambda u (HOLogic.mk_prod (u, f $ u));
51808
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   678
52301
7935e82a4ae4 simpler, more robust iterator goal construction code
blanchet
parents: 52300
diff changeset
   679
        fun unzip_iters fiters maybe_tick (x as Free (_, T)) Us =
7935e82a4ae4 simpler, more robust iterator goal construction code
blanchet
parents: 52300
diff changeset
   680
          map (fn U => if U = T then x else
7935e82a4ae4 simpler, more robust iterator goal construction code
blanchet
parents: 52300
diff changeset
   681
            build_map lthy (indexify_fst fpTs (fn kk => fn _ =>
7935e82a4ae4 simpler, more robust iterator goal construction code
blanchet
parents: 52300
diff changeset
   682
              nth fiters kk |> length Us = 1 ? maybe_tick (nth us kk))) (T, U) $ x) Us;
7935e82a4ae4 simpler, more robust iterator goal construction code
blanchet
parents: 52300
diff changeset
   683
7935e82a4ae4 simpler, more robust iterator goal construction code
blanchet
parents: 52300
diff changeset
   684
        val gxsss = map2 (map2 (flat_rec oo map2 (unzip_iters gfolds (K I)))) xsss y_Tssss;
7935e82a4ae4 simpler, more robust iterator goal construction code
blanchet
parents: 52300
diff changeset
   685
        val hxsss = map2 (map2 (flat_rec oo map2 (unzip_iters hrecs tick))) xsss z_Tssss;
51808
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   686
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   687
        val fold_goalss = map5 (map4 o mk_goal gss) gfolds xctrss gss xsss gxsss;
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   688
        val rec_goalss = map5 (map4 o mk_goal hss) hrecs xctrss hss xsss hxsss;
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   689
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   690
        val fold_tacss =
52214
4cc5a80bba80 generalized recursors, effectively reverting inductive half of c7a034d01936
blanchet
parents: 52213
diff changeset
   691
          map2 (map o mk_iter_tac pre_map_defs nesting_map_ids'' fold_defs)
4cc5a80bba80 generalized recursors, effectively reverting inductive half of c7a034d01936
blanchet
parents: 52213
diff changeset
   692
            ctor_fold_thms ctr_defss;
51808
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   693
        val rec_tacss =
52214
4cc5a80bba80 generalized recursors, effectively reverting inductive half of c7a034d01936
blanchet
parents: 52213
diff changeset
   694
          map2 (map o mk_iter_tac pre_map_defs (nested_map_ids'' @ nesting_map_ids'') rec_defs)
4cc5a80bba80 generalized recursors, effectively reverting inductive half of c7a034d01936
blanchet
parents: 52213
diff changeset
   695
            ctor_rec_thms ctr_defss;
51808
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   696
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   697
        fun prove goal tac =
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   698
          Goal.prove_sorry lthy [] [] goal (tac o #context)
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   699
          |> Thm.close_derivation;
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   700
      in
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   701
        (map2 (map2 prove) fold_goalss fold_tacss, map2 (map2 prove) rec_goalss rec_tacss)
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   702
      end;
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   703
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   704
    val induct_case_names_attr = Attrib.internal (K (Rule_Cases.case_names induct_cases));
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   705
  in
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   706
    ((induct_thm, induct_thms, [induct_case_names_attr]),
51808
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   707
     (fold_thmss, code_simp_attrs), (rec_thmss, code_simp_attrs))
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   708
  end;
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   709
52171
blanchet
parents: 52170
diff changeset
   710
fun derive_coinduct_unfold_corec_thms_for_types pre_bnfs dtor_unfolds dtor_corecs dtor_coinduct
51814
blanchet
parents: 51813
diff changeset
   711
    dtor_strong_induct dtor_ctors dtor_unfold_thms dtor_corec_thms nesting_bnfs nested_bnfs fpTs Cs
51840
b304fb6c5ef5 renamed records
blanchet
parents: 51839
diff changeset
   712
    As kss mss ns ctr_defss ctr_sugars unfolds corecs unfold_defs corec_defs lthy =
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   713
  let
51815
efacb9b99865 tune signatures
blanchet
parents: 51814
diff changeset
   714
    val nn = length pre_bnfs;
efacb9b99865 tune signatures
blanchet
parents: 51814
diff changeset
   715
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   716
    val pre_map_defs = map map_def_of_bnf pre_bnfs;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   717
    val pre_rel_defs = map rel_def_of_bnf pre_bnfs;
51830
blanchet
parents: 51829
diff changeset
   718
    val nesting_map_ids'' = map (unfold_thms lthy @{thms id_def} o map_id_of_bnf) nesting_bnfs;
blanchet
parents: 51829
diff changeset
   719
    val nesting_rel_eqs = map rel_eq_of_bnf nesting_bnfs;
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   720
    val nested_map_comp's = map map_comp'_of_bnf nested_bnfs;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   721
    val nested_map_comps'' = map ((fn thm => thm RS sym) o map_comp_of_bnf) nested_bnfs;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   722
    val nested_map_ids'' = map (unfold_thms lthy @{thms id_def} o map_id_of_bnf) nested_bnfs;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   723
51816
5f1dec4297da use base names, not full names
blanchet
parents: 51815
diff changeset
   724
    val fp_b_names = map base_name_of_typ fpTs;
51811
1461426e2bf1 tuned function signatures
blanchet
parents: 51810
diff changeset
   725
52171
blanchet
parents: 52170
diff changeset
   726
    val dtor_unfold_fun_Ts = mk_fp_iter_fun_types (hd dtor_unfolds);
blanchet
parents: 52170
diff changeset
   727
    val dtor_corec_fun_Ts = mk_fp_iter_fun_types (hd dtor_corecs);
51829
3cc93eeac8cc signature tuning
blanchet
parents: 51828
diff changeset
   728
51840
b304fb6c5ef5 renamed records
blanchet
parents: 51839
diff changeset
   729
    val ctrss = map (map (mk_ctr As) o #ctrs) ctr_sugars;
b304fb6c5ef5 renamed records
blanchet
parents: 51839
diff changeset
   730
    val discss = map (map (mk_disc_or_sel As) o #discs) ctr_sugars;
b304fb6c5ef5 renamed records
blanchet
parents: 51839
diff changeset
   731
    val selsss = map (map (map (mk_disc_or_sel As)) o #selss) ctr_sugars;
b304fb6c5ef5 renamed records
blanchet
parents: 51839
diff changeset
   732
    val exhausts = map #exhaust ctr_sugars;
b304fb6c5ef5 renamed records
blanchet
parents: 51839
diff changeset
   733
    val disc_thmsss = map #disc_thmss ctr_sugars;
b304fb6c5ef5 renamed records
blanchet
parents: 51839
diff changeset
   734
    val discIss = map #discIs ctr_sugars;
b304fb6c5ef5 renamed records
blanchet
parents: 51839
diff changeset
   735
    val sel_thmsss = map #sel_thmss ctr_sugars;
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   736
51831
blanchet
parents: 51830
diff changeset
   737
    val ((cs, cpss, ((pgss, crssss, cgssss), _), ((phss, csssss, chssss), _)), names_lthy0) =
52297
blanchet
parents: 52296
diff changeset
   738
      mk_unfold_corec_args_types Cs ns mss dtor_unfold_fun_Ts dtor_corec_fun_Ts lthy;
51831
blanchet
parents: 51830
diff changeset
   739
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   740
    val (((rs, us'), vs'), names_lthy) =
51831
blanchet
parents: 51830
diff changeset
   741
      names_lthy0
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   742
      |> mk_Frees "R" (map (fn T => mk_pred2T T T) fpTs)
51816
5f1dec4297da use base names, not full names
blanchet
parents: 51815
diff changeset
   743
      ||>> Variable.variant_fixes fp_b_names
5f1dec4297da use base names, not full names
blanchet
parents: 51815
diff changeset
   744
      ||>> Variable.variant_fixes (map (suffix "'") fp_b_names);
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   745
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   746
    val us = map2 (curry Free) us' fpTs;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   747
    val udiscss = map2 (map o rapp) us discss;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   748
    val uselsss = map2 (map o map o rapp) us selsss;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   749
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   750
    val vs = map2 (curry Free) vs' fpTs;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   751
    val vdiscss = map2 (map o rapp) vs discss;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   752
    val vselsss = map2 (map o map o rapp) vs selsss;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   753
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   754
    val ((coinduct_thms, coinduct_thm), (strong_coinduct_thms, strong_coinduct_thm)) =
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   755
      let
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   756
        val uvrs = map3 (fn r => fn u => fn v => r $ u $ v) rs us vs;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   757
        val uv_eqs = map2 (curry HOLogic.mk_eq) us vs;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   758
        val strong_rs =
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   759
          map4 (fn u => fn v => fn uvr => fn uv_eq =>
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   760
            fold_rev Term.lambda [u, v] (HOLogic.mk_disj (uvr, uv_eq))) us vs uvrs uv_eqs;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   761
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   762
        fun build_rel rs' T =
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   763
          (case find_index (curry (op =) T) fpTs of
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   764
            ~1 =>
51856
blanchet
parents: 51855
diff changeset
   765
            if exists_subtype_in fpTs T then
blanchet
parents: 51855
diff changeset
   766
              let
blanchet
parents: 51855
diff changeset
   767
                val Type (s, Ts) = T
blanchet
parents: 51855
diff changeset
   768
                val bnf = the (bnf_of lthy s);
blanchet
parents: 51855
diff changeset
   769
                val live = live_of_bnf bnf;
blanchet
parents: 51855
diff changeset
   770
                val rel = mk_rel live Ts Ts (rel_of_bnf bnf);
blanchet
parents: 51855
diff changeset
   771
                val Ts' = map domain_type (fst (strip_typeN live (fastype_of rel)));
blanchet
parents: 51855
diff changeset
   772
              in Term.list_comb (rel, map (build_rel rs') Ts') end
blanchet
parents: 51855
diff changeset
   773
            else
blanchet
parents: 51855
diff changeset
   774
              HOLogic.eq_const T
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   775
          | kk => nth rs' kk);
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   776
51856
blanchet
parents: 51855
diff changeset
   777
        fun build_rel_app rs' usel vsel = fold rapp [usel, vsel] (build_rel rs' (fastype_of usel));
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   778
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   779
        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
   780
          (if k = n then [] else [HOLogic.mk_eq (udisc, vdisc)]) @
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   781
          (if null usels then
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   782
             []
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   783
           else
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   784
             [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
   785
                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
   786
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   787
        fun mk_prem_concl rs' n udiscs uselss vdiscs vselss =
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   788
          Library.foldr1 HOLogic.mk_conj
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   789
            (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
   790
          handle List.Empty => @{term True};
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   791
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   792
        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
   793
          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
   794
            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
   795
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   796
        val concl =
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   797
          HOLogic.mk_Trueprop (Library.foldr1 HOLogic.mk_conj
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   798
            (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
   799
               uvrs us vs));
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   800
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   801
        fun mk_goal rs' =
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   802
          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
   803
            concl);
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   804
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   805
        val goal = mk_goal rs;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   806
        val strong_goal = mk_goal strong_rs;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   807
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   808
        fun prove dtor_coinduct' goal =
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   809
          Goal.prove_sorry lthy [] [] goal (fn {context = ctxt, ...} =>
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   810
            mk_coinduct_tac ctxt nesting_rel_eqs nn ns dtor_coinduct' pre_rel_defs dtor_ctors
51819
9df935196be9 use record instead of big tuple
blanchet
parents: 51816
diff changeset
   811
              exhausts ctr_defss disc_thmsss sel_thmsss)
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   812
          |> singleton (Proof_Context.export names_lthy lthy)
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   813
          |> Thm.close_derivation;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   814
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   815
        fun postproc nn thm =
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   816
          Thm.permute_prems 0 nn
51828
67c6d6136915 whitespace tuning
blanchet
parents: 51827
diff changeset
   817
            (if nn = 1 then thm RS mp else funpow nn (fn thm => reassoc_conjs (thm RS mp_conj)) thm)
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   818
          |> Drule.zero_var_indexes
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   819
          |> `(conj_dests nn);
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   820
      in
51814
blanchet
parents: 51813
diff changeset
   821
        (postproc nn (prove dtor_coinduct goal), postproc nn (prove dtor_strong_induct strong_goal))
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   822
      end;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   823
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   824
    fun mk_coinduct_concls ms discs ctrs =
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   825
      let
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   826
        fun mk_disc_concl disc = [name_of_disc disc];
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   827
        fun mk_ctr_concl 0 _ = []
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   828
          | mk_ctr_concl _ ctor = [name_of_ctr ctor];
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   829
        val disc_concls = map mk_disc_concl (fst (split_last discs)) @ [[]];
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   830
        val ctr_concls = map2 mk_ctr_concl ms ctrs;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   831
      in
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   832
        flat (map2 append disc_concls ctr_concls)
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   833
      end;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   834
51816
5f1dec4297da use base names, not full names
blanchet
parents: 51815
diff changeset
   835
    val coinduct_cases = quasi_unambiguous_case_names (map (prefix EqN) fp_b_names);
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   836
    val coinduct_conclss =
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   837
      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
   838
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   839
    fun mk_maybe_not pos = not pos ? HOLogic.mk_not;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   840
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   841
    val gunfolds = map (lists_bmoc pgss) unfolds;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   842
    val hcorecs = map (lists_bmoc phss) corecs;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   843
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   844
    val (unfold_thmss, corec_thmss, safe_unfold_thmss, safe_corec_thmss) =
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   845
      let
51843
899663644482 rationalized terminology (iterator = fold or rec, xxfoo = (co)foo or (un)foo)
blanchet
parents: 51842
diff changeset
   846
        fun mk_goal pfss c cps fcoiter n k ctr m cfs' =
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   847
          fold_rev (fold_rev Logic.all) ([c] :: pfss)
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   848
            (Logic.list_implies (seq_conds (HOLogic.mk_Trueprop oo mk_maybe_not) n k cps,
51843
899663644482 rationalized terminology (iterator = fold or rec, xxfoo = (co)foo or (un)foo)
blanchet
parents: 51842
diff changeset
   849
               mk_Trueprop_eq (fcoiter $ c, Term.list_comb (ctr, take m cfs'))));
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   850
51845
af9a208e6543 further enrich data structure
blanchet
parents: 51844
diff changeset
   851
        val mk_U = typ_subst_nonatomic (map2 pair Cs fpTs);
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   852
51843
899663644482 rationalized terminology (iterator = fold or rec, xxfoo = (co)foo or (un)foo)
blanchet
parents: 51842
diff changeset
   853
        fun intr_coiters fcoiters [] [cf] =
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   854
            let val T = fastype_of cf in
51855
fcdf213d332c more code rationalization
blanchet
parents: 51854
diff changeset
   855
              if exists_subtype_in Cs T then
fcdf213d332c more code rationalization
blanchet
parents: 51854
diff changeset
   856
                build_map lthy (indexify_fst Cs (K o nth fcoiters)) (T, mk_U T) $ cf
fcdf213d332c more code rationalization
blanchet
parents: 51854
diff changeset
   857
              else
fcdf213d332c more code rationalization
blanchet
parents: 51854
diff changeset
   858
                cf
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   859
            end
51843
899663644482 rationalized terminology (iterator = fold or rec, xxfoo = (co)foo or (un)foo)
blanchet
parents: 51842
diff changeset
   860
          | intr_coiters fcoiters [cq] [cf, cf'] =
899663644482 rationalized terminology (iterator = fold or rec, xxfoo = (co)foo or (un)foo)
blanchet
parents: 51842
diff changeset
   861
            mk_If cq (intr_coiters fcoiters [] [cf]) (intr_coiters fcoiters [] [cf']);
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   862
51843
899663644482 rationalized terminology (iterator = fold or rec, xxfoo = (co)foo or (un)foo)
blanchet
parents: 51842
diff changeset
   863
        val crgsss = map2 (map2 (map2 (intr_coiters gunfolds))) crssss cgssss;
899663644482 rationalized terminology (iterator = fold or rec, xxfoo = (co)foo or (un)foo)
blanchet
parents: 51842
diff changeset
   864
        val cshsss = map2 (map2 (map2 (intr_coiters hcorecs))) csssss chssss;
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   865
51828
67c6d6136915 whitespace tuning
blanchet
parents: 51827
diff changeset
   866
        val unfold_goalss = map8 (map4 oooo mk_goal pgss) cs cpss gunfolds ns kss ctrss mss crgsss;
67c6d6136915 whitespace tuning
blanchet
parents: 51827
diff changeset
   867
        val corec_goalss = map8 (map4 oooo mk_goal phss) cs cpss hcorecs ns kss ctrss mss cshsss;
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   868
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   869
        fun mk_map_if_distrib bnf =
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   870
          let
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   871
            val mapx = map_of_bnf bnf;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   872
            val live = live_of_bnf bnf;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   873
            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
   874
            val fs = Variable.variant_frees lthy [mapx] (map (pair "f") Ts);
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   875
            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
   876
          in
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   877
            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
   878
              @{thm if_distrib}
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   879
          end;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   880
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   881
        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
   882
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   883
        val unfold_tacss =
51843
899663644482 rationalized terminology (iterator = fold or rec, xxfoo = (co)foo or (un)foo)
blanchet
parents: 51842
diff changeset
   884
          map3 (map oo mk_coiter_tac unfold_defs [] [] nesting_map_ids'' [])
51814
blanchet
parents: 51813
diff changeset
   885
            dtor_unfold_thms pre_map_defs ctr_defss;
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   886
        val corec_tacss =
51843
899663644482 rationalized terminology (iterator = fold or rec, xxfoo = (co)foo or (un)foo)
blanchet
parents: 51842
diff changeset
   887
          map3 (map oo mk_coiter_tac corec_defs nested_map_comps'' nested_map_comp's
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   888
              (nested_map_ids'' @ nesting_map_ids'') nested_map_if_distribs)
51814
blanchet
parents: 51813
diff changeset
   889
            dtor_corec_thms pre_map_defs ctr_defss;
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   890
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   891
        fun prove goal tac =
51815
efacb9b99865 tune signatures
blanchet
parents: 51814
diff changeset
   892
          Goal.prove_sorry lthy [] [] goal (tac o #context)
efacb9b99865 tune signatures
blanchet
parents: 51814
diff changeset
   893
          |> Thm.close_derivation;
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   894
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   895
        val unfold_thmss = map2 (map2 prove) unfold_goalss unfold_tacss;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   896
        val corec_thmss = map2 (map2 prove) corec_goalss corec_tacss;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   897
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   898
        val filter_safesss =
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   899
          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
   900
            curry (op ~~)) (map2 (map2 (map2 (member (op =)))) cgssss crgsss);
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   901
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   902
        val safe_unfold_thmss = filter_safesss unfold_thmss;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   903
        val safe_corec_thmss = filter_safesss corec_thmss;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   904
      in
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   905
        (unfold_thmss, corec_thmss, safe_unfold_thmss, safe_corec_thmss)
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   906
      end;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   907
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   908
    val (disc_unfold_iff_thmss, disc_corec_iff_thmss) =
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   909
      let
51843
899663644482 rationalized terminology (iterator = fold or rec, xxfoo = (co)foo or (un)foo)
blanchet
parents: 51842
diff changeset
   910
        fun mk_goal c cps fcoiter n k disc =
899663644482 rationalized terminology (iterator = fold or rec, xxfoo = (co)foo or (un)foo)
blanchet
parents: 51842
diff changeset
   911
          mk_Trueprop_eq (disc $ (fcoiter $ c),
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   912
            if n = 1 then @{const True}
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   913
            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
   914
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   915
        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
   916
        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
   917
51828
67c6d6136915 whitespace tuning
blanchet
parents: 51827
diff changeset
   918
        fun mk_case_split' cp = Drule.instantiate' [] [SOME (certify lthy cp)] @{thm case_split};
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   919
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   920
        val case_splitss' = map (map mk_case_split') cpss;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   921
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   922
        val unfold_tacss =
51843
899663644482 rationalized terminology (iterator = fold or rec, xxfoo = (co)foo or (un)foo)
blanchet
parents: 51842
diff changeset
   923
          map3 (map oo mk_disc_coiter_iff_tac) case_splitss' unfold_thmss disc_thmsss;
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   924
        val corec_tacss =
51843
899663644482 rationalized terminology (iterator = fold or rec, xxfoo = (co)foo or (un)foo)
blanchet
parents: 51842
diff changeset
   925
          map3 (map oo mk_disc_coiter_iff_tac) case_splitss' corec_thmss disc_thmsss;
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   926
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   927
        fun prove goal tac =
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   928
          Goal.prove_sorry lthy [] [] goal (tac o #context)
51829
3cc93eeac8cc signature tuning
blanchet
parents: 51828
diff changeset
   929
          |> singleton (Proof_Context.export names_lthy lthy)
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   930
          |> Thm.close_derivation;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   931
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   932
        fun proves [_] [_] = []
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   933
          | proves goals tacs = map2 prove goals tacs;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   934
      in
51828
67c6d6136915 whitespace tuning
blanchet
parents: 51827
diff changeset
   935
        (map2 proves unfold_goalss unfold_tacss, map2 proves corec_goalss corec_tacss)
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   936
      end;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   937
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   938
    val is_triv_discI = is_triv_implies orf is_concl_refl;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   939
51843
899663644482 rationalized terminology (iterator = fold or rec, xxfoo = (co)foo or (un)foo)
blanchet
parents: 51842
diff changeset
   940
    fun mk_disc_coiter_thms coiters discIs =
899663644482 rationalized terminology (iterator = fold or rec, xxfoo = (co)foo or (un)foo)
blanchet
parents: 51842
diff changeset
   941
      map (op RS) (filter_out (is_triv_discI o snd) (coiters ~~ discIs));
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   942
51843
899663644482 rationalized terminology (iterator = fold or rec, xxfoo = (co)foo or (un)foo)
blanchet
parents: 51842
diff changeset
   943
    val disc_unfold_thmss = map2 mk_disc_coiter_thms unfold_thmss discIss;
899663644482 rationalized terminology (iterator = fold or rec, xxfoo = (co)foo or (un)foo)
blanchet
parents: 51842
diff changeset
   944
    val disc_corec_thmss = map2 mk_disc_coiter_thms corec_thmss discIss;
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   945
51843
899663644482 rationalized terminology (iterator = fold or rec, xxfoo = (co)foo or (un)foo)
blanchet
parents: 51842
diff changeset
   946
    fun mk_sel_coiter_thm coiter_thm sel sel_thm =
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   947
      let
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   948
        val (domT, ranT) = dest_funT (fastype_of sel);
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   949
        val arg_cong' =
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   950
          Drule.instantiate' (map (SOME o certifyT lthy) [domT, ranT])
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   951
            [NONE, NONE, SOME (certify lthy sel)] arg_cong
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   952
          |> Thm.varifyT_global;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   953
        val sel_thm' = sel_thm RSN (2, trans);
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   954
      in
51843
899663644482 rationalized terminology (iterator = fold or rec, xxfoo = (co)foo or (un)foo)
blanchet
parents: 51842
diff changeset
   955
        coiter_thm RS arg_cong' RS sel_thm'
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   956
      end;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   957
51843
899663644482 rationalized terminology (iterator = fold or rec, xxfoo = (co)foo or (un)foo)
blanchet
parents: 51842
diff changeset
   958
    fun mk_sel_coiter_thms coiterss =
899663644482 rationalized terminology (iterator = fold or rec, xxfoo = (co)foo or (un)foo)
blanchet
parents: 51842
diff changeset
   959
      map3 (map3 (map2 o mk_sel_coiter_thm)) coiterss selsss sel_thmsss |> map flat;
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   960
51843
899663644482 rationalized terminology (iterator = fold or rec, xxfoo = (co)foo or (un)foo)
blanchet
parents: 51842
diff changeset
   961
    val sel_unfold_thmss = mk_sel_coiter_thms unfold_thmss;
899663644482 rationalized terminology (iterator = fold or rec, xxfoo = (co)foo or (un)foo)
blanchet
parents: 51842
diff changeset
   962
    val sel_corec_thmss = mk_sel_coiter_thms corec_thmss;
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   963
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   964
    val coinduct_consumes_attr = Attrib.internal (K (Rule_Cases.consumes nn));
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   965
    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
   966
    val coinduct_case_concl_attrs =
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   967
      map2 (fn casex => fn concls =>
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   968
          Attrib.internal (K (Rule_Cases.case_conclusion (casex, concls))))
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   969
        coinduct_cases coinduct_conclss;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   970
    val coinduct_case_attrs =
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   971
      coinduct_consumes_attr :: coinduct_case_names_attr :: coinduct_case_concl_attrs;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   972
  in
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   973
    ((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
   974
     (unfold_thmss, corec_thmss, []),
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   975
     (safe_unfold_thmss, safe_corec_thmss),
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   976
     (disc_unfold_thmss, disc_corec_thmss, simp_attrs),
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   977
     (disc_unfold_iff_thmss, disc_corec_iff_thmss, simp_attrs),
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   978
     (sel_unfold_thmss, sel_corec_thmss, simp_attrs))
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   979
  end;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   980
52207
21026c312cc3 tuning -- avoided unreadable true/false all over the place for LFP/GFP
blanchet
parents: 52197
diff changeset
   981
fun define_co_datatypes prepare_constraint prepare_typ prepare_term fp construct_fp
49633
5b5450bc544c compatibility option to use "rep_datatype"
blanchet
parents: 49622
diff changeset
   982
    (wrap_opts as (no_dests, rep_compat), specs) no_defs_lthy0 =
49112
4de4635d8f93 started work on sugared "(co)data" commands
blanchet
parents:
diff changeset
   983
  let
49298
36e551d3af3b support for sort constraints in new (co)data commands
blanchet
parents: 49297
diff changeset
   984
    (* TODO: sanity checks on arguments *)
36e551d3af3b support for sort constraints in new (co)data commands
blanchet
parents: 49297
diff changeset
   985
52207
21026c312cc3 tuning -- avoided unreadable true/false all over the place for LFP/GFP
blanchet
parents: 52197
diff changeset
   986
    val _ = if fp = Greatest_FP andalso no_dests then
21026c312cc3 tuning -- avoided unreadable true/false all over the place for LFP/GFP
blanchet
parents: 52197
diff changeset
   987
        error "Cannot define destructor-less codatatypes"
21026c312cc3 tuning -- avoided unreadable true/false all over the place for LFP/GFP
blanchet
parents: 52197
diff changeset
   988
      else
21026c312cc3 tuning -- avoided unreadable true/false all over the place for LFP/GFP
blanchet
parents: 52197
diff changeset
   989
        ();
49278
718e4ad1517e added no_dests option
blanchet
parents: 49277
diff changeset
   990
49633
5b5450bc544c compatibility option to use "rep_datatype"
blanchet
parents: 49622
diff changeset
   991
    fun qualify mandatory fp_b_name =
5b5450bc544c compatibility option to use "rep_datatype"
blanchet
parents: 49622
diff changeset
   992
      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
   993
49367
blanchet
parents: 49366
diff changeset
   994
    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
   995
    val fp_bs = map type_binding_of specs;
49498
acc583e14167 tuned variable names
blanchet
parents: 49484
diff changeset
   996
    val fp_b_names = map Binding.name_of fp_bs;
acc583e14167 tuned variable names
blanchet
parents: 49484
diff changeset
   997
    val fp_common_name = mk_common_name fp_b_names;
51758
55963309557b honor user-specified name for map function
blanchet
parents: 51757
diff changeset
   998
    val map_bs = map map_binding_of specs;
51767
bbcdd8519253 honor user-specified name for relator + generalize syntax
blanchet
parents: 51766
diff changeset
   999
    val rel_bs = map rel_binding_of specs;
49298
36e551d3af3b support for sort constraints in new (co)data commands
blanchet
parents: 49297
diff changeset
  1000
51758
55963309557b honor user-specified name for map function
blanchet
parents: 51757
diff changeset
  1001
    fun prepare_type_arg (_, (ty, c)) =
49298
36e551d3af3b support for sort constraints in new (co)data commands
blanchet
parents: 49297
diff changeset
  1002
      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
  1003
        TFree (s, prepare_constraint no_defs_lthy0 c)
36e551d3af3b support for sort constraints in new (co)data commands
blanchet
parents: 49297
diff changeset
  1004
      end;
36e551d3af3b support for sort constraints in new (co)data commands
blanchet
parents: 49297
diff changeset
  1005
51758
55963309557b honor user-specified name for map function
blanchet
parents: 51757
diff changeset
  1006
    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
  1007
    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
  1008
    val unsorted_As = Library.foldr1 merge_type_args unsorted_Ass0;
51758
55963309557b honor user-specified name for map function
blanchet
parents: 51757
diff changeset
  1009
    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
  1010
49585
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
  1011
    val (((Bs0, Cs), Xs), no_defs_lthy) =
49298
36e551d3af3b support for sort constraints in new (co)data commands
blanchet
parents: 49297
diff changeset
  1012
      no_defs_lthy0
36e551d3af3b support for sort constraints in new (co)data commands
blanchet
parents: 49297
diff changeset
  1013
      |> 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
  1014
      |> mk_TFrees (length unsorted_As)
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
  1015
      ||>> mk_TFrees nn
51858
7a08fe1e19b1 added and moved library functions (used in primrec code)
blanchet
parents: 51857
diff changeset
  1016
      ||>> variant_tfrees fp_b_names;
49119
1f605c36869c more work on FP sugar
blanchet
parents: 49112
diff changeset
  1017
52195
056ec8201667 clean up list of theorems
blanchet
parents: 52173
diff changeset
  1018
    (* TODO: Cleaner handling of fake contexts, without "background_theory". The case where the new
056ec8201667 clean up list of theorems
blanchet
parents: 52173
diff changeset
  1019
       type is defined in a locale and shadows an existing global type is currently not handled. *)
51768
d2a236b10796 proper error generated for wrong mixfix
blanchet
parents: 51767
diff changeset
  1020
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
  1021
    fun add_fake_type spec =
51768
d2a236b10796 proper error generated for wrong mixfix
blanchet
parents: 51767
diff changeset
  1022
      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
  1023
        length (type_args_named_constrained_of spec), mixfix_of spec);
51768
d2a236b10796 proper error generated for wrong mixfix
blanchet
parents: 51767
diff changeset
  1024
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
  1025
    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
  1026
    val fake_lthy = Proof_Context.background_theory fake_thy no_defs_lthy;
49119
1f605c36869c more work on FP sugar
blanchet
parents: 49112
diff changeset
  1027
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
  1028
    fun mk_fake_T b =
49121
9e0acaa470ab more work on FP sugar
blanchet
parents: 49119
diff changeset
  1029
      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
  1030
        unsorted_As);
49121
9e0acaa470ab more work on FP sugar
blanchet
parents: 49119
diff changeset
  1031
49302
f5bd87aac224 added optional qualifiers for constructors and destructors, similarly to the old package
blanchet
parents: 49300
diff changeset
  1032
    val fake_Ts = map mk_fake_T fp_bs;
49121
9e0acaa470ab more work on FP sugar
blanchet
parents: 49119
diff changeset
  1033
49181
blanchet
parents: 49180
diff changeset
  1034
    val mixfixes = map mixfix_of specs;
49119
1f605c36869c more work on FP sugar
blanchet
parents: 49112
diff changeset
  1035
49302
f5bd87aac224 added optional qualifiers for constructors and destructors, similarly to the old package
blanchet
parents: 49300
diff changeset
  1036
    val _ = (case duplicates Binding.eq_name fp_bs of [] => ()
49119
1f605c36869c more work on FP sugar
blanchet
parents: 49112
diff changeset
  1037
      | b :: _ => error ("Duplicate type name declaration " ^ quote (Binding.name_of b)));
1f605c36869c more work on FP sugar
blanchet
parents: 49112
diff changeset
  1038
49121
9e0acaa470ab more work on FP sugar
blanchet
parents: 49119
diff changeset
  1039
    val ctr_specss = map ctr_specs_of specs;
49119
1f605c36869c more work on FP sugar
blanchet
parents: 49112
diff changeset
  1040
49336
blanchet
parents: 49330
diff changeset
  1041
    val disc_bindingss = map (map disc_of) ctr_specss;
blanchet
parents: 49330
diff changeset
  1042
    val ctr_bindingss =
49633
5b5450bc544c compatibility option to use "rep_datatype"
blanchet
parents: 49622
diff changeset
  1043
      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
  1044
    val ctr_argsss = map (map args_of) ctr_specss;
49181
blanchet
parents: 49180
diff changeset
  1045
    val ctr_mixfixess = map (map ctr_mixfix_of) ctr_specss;
49119
1f605c36869c more work on FP sugar
blanchet
parents: 49112
diff changeset
  1046
49336
blanchet
parents: 49330
diff changeset
  1047
    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
  1048
    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
  1049
    val raw_sel_defaultsss = map (map defaults_of) ctr_specss;
dde4967c9233 added "defaults" option
blanchet
parents: 49280
diff changeset
  1050
49308
6190b701e4f4 reorganized dependencies so that the sugar does not depend on GFP -- this will be essential for bootstrapping
blanchet
parents: 49302
diff changeset
  1051
    val (As :: _) :: fake_ctr_Tsss =
49298
36e551d3af3b support for sort constraints in new (co)data commands
blanchet
parents: 49297
diff changeset
  1052
      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
  1053
36e551d3af3b support for sort constraints in new (co)data commands
blanchet
parents: 49297
diff changeset
  1054
    val _ = (case duplicates (op =) unsorted_As of [] => ()
36e551d3af3b support for sort constraints in new (co)data commands
blanchet
parents: 49297
diff changeset
  1055
      | A :: _ => error ("Duplicate type parameter " ^
36e551d3af3b support for sort constraints in new (co)data commands
blanchet
parents: 49297
diff changeset
  1056
          quote (Syntax.string_of_typ no_defs_lthy A)));
36e551d3af3b support for sort constraints in new (co)data commands
blanchet
parents: 49297
diff changeset
  1057
49183
0cc46e2dee7e careful about constructor types w.r.t. fake context (third step of localization)
blanchet
parents: 49182
diff changeset
  1058
    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
  1059
    val _ = (case subtract (op =) (map dest_TFree As) rhs_As' of
49165
c6ccaf6df93c check type variables on rhs
blanchet
parents: 49161
diff changeset
  1060
        [] => ()
49342
8ea4bad49ed5 rough and ready induction
blanchet
parents: 49338
diff changeset
  1061
      | A' :: _ => error ("Extra type variable on right-hand side: " ^
49204
0b735fb2602e generate iter/rec goals
blanchet
parents: 49203
diff changeset
  1062
          quote (Syntax.string_of_typ no_defs_lthy (TFree A'))));
49165
c6ccaf6df93c check type variables on rhs
blanchet
parents: 49161
diff changeset
  1063
49591
91b228e26348 generate high-level "coinduct" and "strong_coinduct" properties
blanchet
parents: 49590
diff changeset
  1064
    fun eq_fpT_check (T as Type (s, Us)) (Type (s', Us')) =
49146
e32b1f748854 added a check
blanchet
parents: 49135
diff changeset
  1065
        s = s' andalso (Us = Us' orelse error ("Illegal occurrence of recursive type " ^
e32b1f748854 added a check
blanchet
parents: 49135
diff changeset
  1066
          quote (Syntax.string_of_typ fake_lthy T)))
49591
91b228e26348 generate high-level "coinduct" and "strong_coinduct" properties
blanchet
parents: 49590
diff changeset
  1067
      | eq_fpT_check _ _ = false;
49146
e32b1f748854 added a check
blanchet
parents: 49135
diff changeset
  1068
49204
0b735fb2602e generate iter/rec goals
blanchet
parents: 49203
diff changeset
  1069
    fun freeze_fp (T as Type (s, Us)) =
49591
91b228e26348 generate high-level "coinduct" and "strong_coinduct" properties
blanchet
parents: 49590
diff changeset
  1070
        (case find_index (eq_fpT_check T) fake_Ts of
91b228e26348 generate high-level "coinduct" and "strong_coinduct" properties
blanchet
parents: 49590
diff changeset
  1071
          ~1 => Type (s, map freeze_fp Us)
91b228e26348 generate high-level "coinduct" and "strong_coinduct" properties
blanchet
parents: 49590
diff changeset
  1072
        | kk => nth Xs kk)
49204
0b735fb2602e generate iter/rec goals
blanchet
parents: 49203
diff changeset
  1073
      | freeze_fp T = T;
49121
9e0acaa470ab more work on FP sugar
blanchet
parents: 49119
diff changeset
  1074
49536
898aea2e7a94 started work on generation of "rel" theorems
blanchet
parents: 49518
diff changeset
  1075
    val ctr_TsssXs = map (map (map freeze_fp)) fake_ctr_Tsss;
898aea2e7a94 started work on generation of "rel" theorems
blanchet
parents: 49518
diff changeset
  1076
    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
  1077
49298
36e551d3af3b support for sort constraints in new (co)data commands
blanchet
parents: 49297
diff changeset
  1078
    val fp_eqs =
49536
898aea2e7a94 started work on generation of "rel" theorems
blanchet
parents: 49518
diff changeset
  1079
      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
  1080
51839
5c552de1d8d1 added constructors to data structure
blanchet
parents: 51838
diff changeset
  1081
    val (pre_bnfs, (fp_res as {bnfs = fp_bnfs as any_fp_bnf :: _, ctors = ctors0, dtors = dtors0,
51869
d58cd7673b04 renamings
blanchet
parents: 51868
diff changeset
  1082
           un_folds = fp_folds0, co_recs = fp_recs0, co_induct = fp_induct,
d58cd7673b04 renamings
blanchet
parents: 51868
diff changeset
  1083
           strong_co_induct = fp_strong_induct, dtor_ctors, ctor_dtors, ctor_injects,
d58cd7673b04 renamings
blanchet
parents: 51868
diff changeset
  1084
           map_thms = fp_map_thms, set_thmss = fp_set_thmss, rel_thms = fp_rel_thms,
d58cd7673b04 renamings
blanchet
parents: 51868
diff changeset
  1085
           un_fold_thms = fp_fold_thms, co_rec_thms = fp_rec_thms, ...}, lthy)) =
51868
4ab609682752 code tuning
blanchet
parents: 51867
diff changeset
  1086
      fp_bnf (construct_fp mixfixes map_bs rel_bs set_bss) fp_bs (map dest_TFree unsorted_As) fp_eqs
4ab609682752 code tuning
blanchet
parents: 51867
diff changeset
  1087
        no_defs_lthy0;
49585
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
  1088
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
  1089
    val timer = time (Timer.startRealTimer ());
49121
9e0acaa470ab more work on FP sugar
blanchet
parents: 49119
diff changeset
  1090
51907
882d850aa3ca export one more function
blanchet
parents: 51906
diff changeset
  1091
    val nesting_bnfs = nesty_bnfs lthy ctr_TsssXs As;
882d850aa3ca export one more function
blanchet
parents: 51906
diff changeset
  1092
    val nested_bnfs = nesty_bnfs lthy ctr_TsssXs Xs;
49226
510c6d4a73ec fixed and enabled iterator/recursor theorems
blanchet
parents: 49224
diff changeset
  1093
49585
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
  1094
    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
  1095
    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
  1096
    val pre_rel_defs = map rel_def_of_bnf pre_bnfs;
51830
blanchet
parents: 51829
diff changeset
  1097
    val nesting_set_map's = maps set_map'_of_bnf nesting_bnfs;
51766
f19a4d0ab1bf renamed "set_natural" to "set_map", reflecting {Bl,Po,Tr} concensus
blanchet
parents: 51758
diff changeset
  1098
    val nested_set_map's = maps set_map'_of_bnf nested_bnfs;
49585
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
  1099
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
  1100
    val live = live_of_bnf any_fp_bnf;
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
  1101
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
  1102
    val Bs =
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
  1103
      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
  1104
        (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
  1105
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
  1106
    val B_ify = Term.typ_subst_atomic (As ~~ Bs);
49167
68623861e0f2 print timing information
blanchet
parents: 49165
diff changeset
  1107
49501
acc9635a644a renamed "fld"/"unf" to "ctor"/"dtor"
blanchet
parents: 49498
diff changeset
  1108
    val ctors = map (mk_ctor As) ctors0;
acc9635a644a renamed "fld"/"unf" to "ctor"/"dtor"
blanchet
parents: 49498
diff changeset
  1109
    val dtors = map (mk_dtor As) dtors0;
49124
968e1b7de057 more work on FP sugar
blanchet
parents: 49123
diff changeset
  1110
49501
acc9635a644a renamed "fld"/"unf" to "ctor"/"dtor"
blanchet
parents: 49498
diff changeset
  1111
    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
  1112
51780
67e4ed510dfb register coinductive type's coinduct rule
blanchet
parents: 51777
diff changeset
  1113
    fun massage_simple_notes base =
67e4ed510dfb register coinductive type's coinduct rule
blanchet
parents: 51777
diff changeset
  1114
      filter_out (null o #2)
67e4ed510dfb register coinductive type's coinduct rule
blanchet
parents: 51777
diff changeset
  1115
      #> map (fn (thmN, thms, attrs) =>
67e4ed510dfb register coinductive type's coinduct rule
blanchet
parents: 51777
diff changeset
  1116
        ((qualify true base (Binding.name thmN), attrs), [(thms, [])]));
67e4ed510dfb register coinductive type's coinduct rule
blanchet
parents: 51777
diff changeset
  1117
67e4ed510dfb register coinductive type's coinduct rule
blanchet
parents: 51777
diff changeset
  1118
    val massage_multi_notes =
67e4ed510dfb register coinductive type's coinduct rule
blanchet
parents: 51777
diff changeset
  1119
      maps (fn (thmN, thmss, attrs) =>
67e4ed510dfb register coinductive type's coinduct rule
blanchet
parents: 51777
diff changeset
  1120
        if forall null thmss then
67e4ed510dfb register coinductive type's coinduct rule
blanchet
parents: 51777
diff changeset
  1121
          []
67e4ed510dfb register coinductive type's coinduct rule
blanchet
parents: 51777
diff changeset
  1122
        else
67e4ed510dfb register coinductive type's coinduct rule
blanchet
parents: 51777
diff changeset
  1123
          map3 (fn fp_b_name => fn Type (T_name, _) => fn thms =>
67e4ed510dfb register coinductive type's coinduct rule
blanchet
parents: 51777
diff changeset
  1124
            ((qualify true fp_b_name (Binding.name thmN), attrs T_name),
67e4ed510dfb register coinductive type's coinduct rule
blanchet
parents: 51777
diff changeset
  1125
             [(thms, [])])) fp_b_names fpTs thmss);
67e4ed510dfb register coinductive type's coinduct rule
blanchet
parents: 51777
diff changeset
  1126
49536
898aea2e7a94 started work on generation of "rel" theorems
blanchet
parents: 49518
diff changeset
  1127
    val ctr_Tsss = map (map (map (Term.typ_subst_atomic (Xs ~~ fpTs)))) ctr_TsssXs;
49203
262ab1ac38b9 repaired constant types
blanchet
parents: 49202
diff changeset
  1128
    val ns = map length ctr_Tsss;
49212
ca59649170b0 more sugar on codatatypes
blanchet
parents: 49211
diff changeset
  1129
    val kss = map (fn n => 1 upto n) ns;
49203
262ab1ac38b9 repaired constant types
blanchet
parents: 49202
diff changeset
  1130
    val mss = map (map length) ctr_Tsss;
262ab1ac38b9 repaired constant types
blanchet
parents: 49202
diff changeset
  1131
51903
126f8d11f873 move function to library
blanchet
parents: 51902
diff changeset
  1132
    val ((fp_folds, fp_recs, fold_rec_args_types, unfold_corec_args_types), lthy) =
52207
21026c312cc3 tuning -- avoided unreadable true/false all over the place for LFP/GFP
blanchet
parents: 52197
diff changeset
  1133
      mk_un_fold_co_rec_prelims fp fpTs Cs ns mss fp_folds0 fp_recs0 lthy;
49210
656fb50d33f0 define coiterators
blanchet
parents: 49209
diff changeset
  1134
49585
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
  1135
    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
  1136
            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
  1137
          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
  1138
        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
  1139
      let
49498
acc583e14167 tuned variable names
blanchet
parents: 49484
diff changeset
  1140
        val fp_b_name = Binding.name_of fp_b;
acc583e14167 tuned variable names
blanchet
parents: 49484
diff changeset
  1141
49501
acc9635a644a renamed "fld"/"unf" to "ctor"/"dtor"
blanchet
parents: 49498
diff changeset
  1142
        val dtorT = domain_type (fastype_of ctor);
49210
656fb50d33f0 define coiterators
blanchet
parents: 49209
diff changeset
  1143
        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
  1144
        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
  1145
        val case_Ts = map (fn Ts => Ts ---> C) ctr_Tss;
49119
1f605c36869c more work on FP sugar
blanchet
parents: 49112
diff changeset
  1146
49593
c958f282b382 get rid of shaky "Thm.generalize"
blanchet
parents: 49592
diff changeset
  1147
        val (((((w, fs), xss), yss), u'), names_lthy) =
49204
0b735fb2602e generate iter/rec goals
blanchet
parents: 49203
diff changeset
  1148
          no_defs_lthy
49501
acc9635a644a renamed "fld"/"unf" to "ctor"/"dtor"
blanchet
parents: 49498
diff changeset
  1149
          |> yield_singleton (mk_Frees "w") dtorT
49176
6d29d2db5f88 construct high-level iterator RHS
blanchet
parents: 49169
diff changeset
  1150
          ||>> mk_Frees "f" case_Ts
49370
be6e749fd003 fixed variable exporting problem
blanchet
parents: 49368
diff changeset
  1151
          ||>> mk_Freess "x" ctr_Tss
49585
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
  1152
          ||>> mk_Freess "y" (map (map B_ify) ctr_Tss)
49498
acc583e14167 tuned variable names
blanchet
parents: 49484
diff changeset
  1153
          ||>> yield_singleton Variable.variant_fixes fp_b_name;
49370
be6e749fd003 fixed variable exporting problem
blanchet
parents: 49368
diff changeset
  1154
49498
acc583e14167 tuned variable names
blanchet
parents: 49484
diff changeset
  1155
        val u = Free (u', fpT);
49121
9e0acaa470ab more work on FP sugar
blanchet
parents: 49119
diff changeset
  1156
49585
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
  1157
        val tuple_xs = map HOLogic.mk_tuple xss;
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
  1158
        val tuple_ys = map HOLogic.mk_tuple yss;
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
  1159
49129
b5413cb7d860 define "case" constant
blanchet
parents: 49127
diff changeset
  1160
        val ctr_rhss =
49585
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
  1161
          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
  1162
            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
  1163
49633
5b5450bc544c compatibility option to use "rep_datatype"
blanchet
parents: 49622
diff changeset
  1164
        val case_binding = qualify false fp_b_name (Binding.suffix_name ("_" ^ caseN) fp_b);
49129
b5413cb7d860 define "case" constant
blanchet
parents: 49127
diff changeset
  1165
49134
846264f80f16 optionally provide extra dead variables to the FP constructions
blanchet
parents: 49130
diff changeset
  1166
        val case_rhs =
49498
acc583e14167 tuned variable names
blanchet
parents: 49484
diff changeset
  1167
          fold_rev Term.lambda (fs @ [u])
49501
acc9635a644a renamed "fld"/"unf" to "ctor"/"dtor"
blanchet
parents: 49498
diff changeset
  1168
            (mk_sum_caseN_balanced (map2 mk_uncurried_fun fs xss) $ (dtor $ u));
49129
b5413cb7d860 define "case" constant
blanchet
parents: 49127
diff changeset
  1169
49201
blanchet
parents: 49200
diff changeset
  1170
        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
  1171
          |> 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
  1172
              Local_Theory.define ((b, mx), ((Thm.def_binding b, []), rhs)) #>> apsnd snd)
49336
blanchet
parents: 49330
diff changeset
  1173
            (case_binding :: ctr_bindings) (NoSyn :: ctr_mixfixes) (case_rhs :: ctr_rhss)
49121
9e0acaa470ab more work on FP sugar
blanchet
parents: 49119
diff changeset
  1174
          ||> `Local_Theory.restore;
9e0acaa470ab more work on FP sugar
blanchet
parents: 49119
diff changeset
  1175
9e0acaa470ab more work on FP sugar
blanchet
parents: 49119
diff changeset
  1176
        val phi = Proof_Context.export_morphism lthy lthy';
9e0acaa470ab more work on FP sugar
blanchet
parents: 49119
diff changeset
  1177
9e0acaa470ab more work on FP sugar
blanchet
parents: 49119
diff changeset
  1178
        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
  1179
        val ctr_defs' =
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
  1180
          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
  1181
        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
  1182
49203
262ab1ac38b9 repaired constant types
blanchet
parents: 49202
diff changeset
  1183
        val ctrs0 = map (Morphism.term phi) raw_ctrs;
262ab1ac38b9 repaired constant types
blanchet
parents: 49202
diff changeset
  1184
        val casex0 = Morphism.term phi raw_case;
262ab1ac38b9 repaired constant types
blanchet
parents: 49202
diff changeset
  1185
262ab1ac38b9 repaired constant types
blanchet
parents: 49202
diff changeset
  1186
        val ctrs = map (mk_ctr As) ctrs0;
49121
9e0acaa470ab more work on FP sugar
blanchet
parents: 49119
diff changeset
  1187
51897
9a27c870ee21 refactoring
blanchet
parents: 51896
diff changeset
  1188
        fun wrap_ctrs lthy =
49123
263b0e330d8b more work on sugar + simplify Trueprop + eq idiom everywhere
blanchet
parents: 49121
diff changeset
  1189
          let
50170
8155e280f239 made SML/NJ happier
traytel