src/HOL/BNF/Tools/bnf_fp_def_sugar.ML
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(*  Title:      HOL/BNF/Tools/bnf_fp_def_sugar.ML
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    Author:     Jasmin Blanchette, TU Muenchen
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    Copyright   2012, 2013
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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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     nested_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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     co_iterss: term list list,
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     co_inducts: thm list,
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     co_iter_thmsss: thm list 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 co_induct_of: 'a list -> 'a
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  val strong_co_induct_of: 'a list -> 'a
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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_arg_args: 'a list list -> 'a list
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  val flat_corec_preds_predsss_gettersss: 'a list -> 'a list list list -> 'a list list list ->
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    '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 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 dest_map: Proof.context -> string -> term -> term * term list
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  val dest_ctr: Proof.context -> string -> term -> term * term list
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  val mk_co_iters_prelims: BNF_FP_Util.fp_kind -> typ list -> typ list -> int list ->
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    int list list -> term list list -> Proof.context ->
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    (term 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) list option
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     * (string * term list * term list list
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        * ((term list list * term list list list) * (typ list * typ list list)) list) option)
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    * Proof.context
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  val mk_iter_fun_arg_types: typ list -> int list -> int list list -> term ->
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    typ list list list list
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  val mk_coiter_fun_arg_types: typ list -> int list -> int list list -> term ->
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    typ list list
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    * (typ list list list list * typ list list list * typ list list list list * typ list)
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  val define_iters: string list ->
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    (typ list list * typ list list list list * term list list * term list list list list) list ->
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    (string -> binding) -> typ list -> typ list -> term list -> Proof.context ->
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    (term list * thm list) * Proof.context
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  val define_coiters: string list -> string * term list * term list list
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    * ((term list list * term list list list) * (typ list * typ list list)) list ->
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    (string -> binding) -> typ list -> typ list -> term list -> Proof.context ->
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    (term list * thm list) * Proof.context
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  val derive_induct_iters_thms_for_types: BNF_Def.bnf list ->
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    (typ list list * typ list list list list * term list list * term list list list list) list ->
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    thm -> thm list list -> BNF_Def.bnf list -> BNF_Def.bnf list -> typ list -> typ list ->
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    typ list -> typ list list list -> term list list -> thm list list -> term list list ->
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    thm list list -> local_theory ->
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    (thm list * thm * 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_coiters_thms_for_types: BNF_Def.bnf list ->
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    string * term list * term list list * ((term list list * term list list list)
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      * (typ list * typ list list)) list ->
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    thm -> thm list -> thm list list -> BNF_Def.bnf list -> typ list -> typ list -> typ list ->
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    int list list -> int list list -> int list -> thm list list -> BNF_Ctr_Sugar.ctr_sugar list ->
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    term list list -> thm list list -> (thm list -> thm list) -> local_theory ->
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    ((thm list * 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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   nested_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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   co_iterss: term list list,
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   co_inducts: thm list,
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   co_iter_thmsss: thm list 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, nested_bnfs, fp_res, ctr_defss, ctr_sugars,
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    co_iterss, co_inducts, co_iter_thmsss} =
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  {T = Morphism.typ phi T, fp = fp, index = index, pre_bnfs = map (morph_bnf phi) pre_bnfs,
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    nested_bnfs = map (morph_bnf phi) nested_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,
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   co_iterss = map (map (Morphism.term phi)) co_iterss,
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   co_inducts = map (Morphism.thm phi) co_inducts,
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   co_iter_thmsss = map (map (map (Morphism.thm phi))) co_iter_thmsss};
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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 co_induct_of (i :: _) = i;
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fun strong_co_induct_of [_, s] = s;
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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.default (key, morph_fp_sugar phi fp_sugar)));
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fun register_fp_sugars fp pre_bnfs nested_bnfs (fp_res as {Ts, ...}) ctr_defss ctr_sugars co_iterss
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    co_inducts co_iter_thmsss 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,
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        nested_bnfs = nested_bnfs, fp_res = fp_res, ctr_defss = ctr_defss, ctr_sugars = ctr_sugars,
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        co_iterss = co_iterss, co_inducts = co_inducts, co_iter_thmsss = co_iter_thmsss}
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      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 id_def = @{thm id_def};
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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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val lists_bmoc = fold (fn xs => fn t => Term.list_comb (t, xs));
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fun flat_rec_arg_args xss =
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  (* FIXME (once the old datatype package is phased out): The first line below gives the preferred
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     order. The second line is for compatibility with the 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_corec_predss_getterss qss fss = maps (op @) (qss ~~ fss);
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fun flat_corec_preds_predsss_gettersss [] [qss] [fss] = flat_corec_predss_getterss qss fss
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  | flat_corec_preds_predsss_gettersss (p :: ps) (qss :: qsss) (fss :: fsss) =
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    p :: flat_corec_predss_getterss qss fss @ flat_corec_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_uncurried2_fun f xss =
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  mk_tupled_fun (HOLogic.mk_tuple (map HOLogic.mk_tuple xss)) f (flat_rec_arg_args 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 (f_Cs, Type (_, [prebody, body])) = strip_fun_type (fastype_of t);
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    val fpT0 = fp_case fp prebody body;
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    val Cs0 = distinct (op =) (map (fp_case fp body_type 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 = binder_fun_types o fastype_of;
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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 unzip_corecT Cs (T as Type (@{type_name sum}, Ts as [_, U])) =
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    if member (op =) Cs U then Ts else [T]
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  | unzip_corecT _ T = [T];
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fun mk_map live Ts Us t =
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  let val (Type (_, Ts0), Type (_, Us0)) = strip_typeN (live + 1) (fastype_of t) |>> List.last in
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    Term.subst_atomic_types (Ts0 @ Us0 ~~ Ts @ Us) t
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  end;
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fun mk_rel live Ts Us t =
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  let val [Type (_, Ts0), Type (_, Us0)] = binder_types (snd (strip_typeN live (fastype_of t))) in
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    Term.subst_atomic_types (Ts0 @ Us0 ~~ Ts @ Us) t
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  end;
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fun build_map lthy build_simple =
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  let
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    fun build (TU as (T, U)) =
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      if T = U then
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        HOLogic.id_const T
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      else
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        (case TU of
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          (Type (s, Ts), Type (s', Us)) =>
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          if s = s' then
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            let
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              val bnf = the (bnf_of lthy s);
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              val live = live_of_bnf bnf;
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              val mapx = mk_map live Ts Us (map_of_bnf bnf);
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              val TUs' = map dest_funT (fst (strip_typeN live (fastype_of mapx)));
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            in Term.list_comb (mapx, map build TUs') end
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          else
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            build_simple TU
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        | _ => build_simple TU);
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  in build end;
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fun fo_match ctxt t pat =
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  let val thy = Proof_Context.theory_of ctxt in
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    Pattern.first_order_match thy (pat, t) (Vartab.empty, Vartab.empty)
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  end;
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val dummy_var_name = "?f"
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fun mk_map_pattern ctxt s =
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  let
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    val bnf = the (bnf_of ctxt s);
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    val mapx = map_of_bnf bnf;
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    val live = live_of_bnf bnf;
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    val (f_Ts, _) = strip_typeN live (fastype_of mapx);
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    val fs = map_index (fn (i, T) => Var ((dummy_var_name, i), T)) f_Ts;
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  in
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    (mapx, betapplys (mapx, fs))
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  end;
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fun dest_map ctxt s call =
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  let
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    val (map0, pat) = mk_map_pattern ctxt s;
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    val (_, tenv) = fo_match ctxt call pat;
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  in
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    (map0, Vartab.fold_rev (fn (_, (_, f)) => cons f) tenv [])
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  end;
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fun dest_ctr ctxt s t =
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  let
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    val (f, args) = Term.strip_comb t;
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  in
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    (case fp_sugar_of ctxt s of
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      SOME fp_sugar =>
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      (case find_first (can (fo_match ctxt f)) (#ctrs (of_fp_sugar #ctr_sugars fp_sugar)) of
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        SOME f' => (f', args)
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      | NONE => raise Fail "dest_ctr")
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    | NONE => raise Fail "dest_ctr")
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  end;
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fun liveness_of_fp_bnf n bnf =
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  (case T_of_bnf bnf of
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    Type (_, Ts) => map (not o member (op =) (deads_of_bnf bnf)) Ts
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  | _ => replicate n false);
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fun cannot_merge_types () = error "Mutually recursive types must have the same type parameters";
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fun merge_type_arg T T' = if T = T' then T else cannot_merge_types ();
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fun merge_type_args (As, As') =
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  if length As = length As' then map2 merge_type_arg As As' else cannot_merge_types ();
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fun reassoc_conjs thm =
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  reassoc_conjs (thm RS @{thm conj_assoc[THEN iffD1]})
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  handle THM _ => thm;
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fun type_args_named_constrained_of ((((ncAs, _), _), _), _) = ncAs;
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fun type_binding_of ((((_, b), _), _), _) = b;
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fun map_binding_of (((_, (b, _)), _), _) = b;
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fun rel_binding_of (((_, (_, b)), _), _) = b;
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fun mixfix_of ((_, mx), _) = mx;
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fun ctr_specs_of (_, ctr_specs) = ctr_specs;
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fun disc_of ((((disc, _), _), _), _) = disc;
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fun ctr_of ((((_, ctr), _), _), _) = ctr;
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fun args_of (((_, args), _), _) = args;
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fun defaults_of ((_, ds), _) = ds;
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fun ctr_mixfix_of (_, mx) = mx;
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fun add_nesty_bnf_names Us =
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  let
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    fun add (Type (s, Ts)) ss =
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        let val (needs, ss') = fold_map add Ts ss in
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          if exists I needs then (true, insert (op =) s ss') else (false, ss')
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        end
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      | add T ss = (member (op =) Us T, ss);
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  in snd oo add end;
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fun nesty_bnfs ctxt ctr_Tsss Us =
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  map_filter (bnf_of ctxt) (fold (fold (fold (add_nesty_bnf_names Us))) ctr_Tsss []);
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fun indexify proj xs f p = f (find_index (curry op = (proj p)) xs) p;
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fun mk_iter_fun_arg_types0 n ms = map2 dest_tupleT ms o dest_sumTN_balanced n o domain_type;
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fun mk_iter_fun_arg_types Cs ns mss =
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  mk_fp_iter_fun_types
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  #> map3 mk_iter_fun_arg_types0 ns mss
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  #> map (map (map (unzip_recT Cs)));
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fun mk_iters_args_types Cs ns mss ctor_iter_fun_Tss 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_iter_fun_arg_types0 ns mss (map un_fold_of ctor_iter_fun_Tss);
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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 o co_rec_of) ns mss ctor_iter_fun_Tss;
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    val z_Tsss' = map (map flat_rec_arg_args) 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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   405
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   406
fun mk_coiter_fun_arg_types0 Cs ns mss fun_Ts =
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  let
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   408
    (*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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   411
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    val f_sum_prod_Ts = map range_type fun_Ts;
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   413
    val f_prod_Tss = map2 dest_sumTN_balanced ns f_sum_prod_Ts;
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   414
    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 unzip_corecT Cs))) Cs f_Tsss;
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    val q_Tssss = map (map (map (fn [_] => [] | [_, T] => [mk_pred1T (domain_type T)]))) f_Tssss;
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  in
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    (q_Tssss, f_Tsss, f_Tssss, f_sum_prod_Ts)
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  end;
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   420
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fun mk_coiter_p_pred_types Cs ns = map2 (fn n => replicate (Int.max (0, n - 1)) o mk_pred1T) ns Cs;
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   422
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fun mk_coiter_fun_arg_types Cs ns mss dtor_coiter =
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  (mk_coiter_p_pred_types Cs ns,
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   425
   mk_fp_iter_fun_types dtor_coiter |> mk_coiter_fun_arg_types0 Cs ns mss);
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   426
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   427
fun mk_coiters_args_types Cs ns mss dtor_coiter_fun_Tss lthy =
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  let
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parents: 52872
diff changeset
   429
    val p_Tss = mk_coiter_p_pred_types Cs ns;
51829
3cc93eeac8cc signature tuning
blanchet
parents: 51828
diff changeset
   430
52871
blanchet
parents: 52870
diff changeset
   431
    fun mk_types get_Ts =
51829
3cc93eeac8cc signature tuning
blanchet
parents: 51828
diff changeset
   432
      let
52335
blanchet
parents: 52334
diff changeset
   433
        val fun_Ts = map get_Ts dtor_coiter_fun_Tss;
52872
blanchet
parents: 52871
diff changeset
   434
        val (q_Tssss, f_Tsss, f_Tssss, f_sum_prod_Ts) = mk_coiter_fun_arg_types0 Cs ns mss fun_Ts;
52868
cca9e958da5c export ML function (for primcorec)
blanchet
parents: 52823
diff changeset
   435
        val pf_Tss = map3 flat_corec_preds_predsss_gettersss p_Tss q_Tssss f_Tssss;
52870
blanchet
parents: 52869
diff changeset
   436
      in
blanchet
parents: 52869
diff changeset
   437
        (q_Tssss, f_Tsss, f_Tssss, (f_sum_prod_Ts, pf_Tss))
blanchet
parents: 52869
diff changeset
   438
      end;
51829
3cc93eeac8cc signature tuning
blanchet
parents: 51828
diff changeset
   439
52871
blanchet
parents: 52870
diff changeset
   440
    val (r_Tssss, g_Tsss, g_Tssss, unfold_types) = mk_types un_fold_of;
blanchet
parents: 52870
diff changeset
   441
    val (s_Tssss, h_Tsss, h_Tssss, corec_types) = mk_types co_rec_of;
51831
blanchet
parents: 51830
diff changeset
   442
52347
ead18e3b2c1b changed back type of corecursor for nested case, effectively reverting aa66ea552357 and 78a3d5006cf1
blanchet
parents: 52346
diff changeset
   443
    val ((((Free (z, _), cs), pss), gssss), lthy) =
51829
3cc93eeac8cc signature tuning
blanchet
parents: 51828
diff changeset
   444
      lthy
52347
ead18e3b2c1b changed back type of corecursor for nested case, effectively reverting aa66ea552357 and 78a3d5006cf1
blanchet
parents: 52346
diff changeset
   445
      |> yield_singleton (mk_Frees "z") dummyT
ead18e3b2c1b changed back type of corecursor for nested case, effectively reverting aa66ea552357 and 78a3d5006cf1
blanchet
parents: 52346
diff changeset
   446
      ||>> mk_Frees "a" Cs
51829
3cc93eeac8cc signature tuning
blanchet
parents: 51828
diff changeset
   447
      ||>> mk_Freess "p" p_Tss
3cc93eeac8cc signature tuning
blanchet
parents: 51828
diff changeset
   448
      ||>> mk_Freessss "g" g_Tssss;
3cc93eeac8cc signature tuning
blanchet
parents: 51828
diff changeset
   449
    val rssss = map (map (map (fn [] => []))) r_Tssss;
3cc93eeac8cc signature tuning
blanchet
parents: 51828
diff changeset
   450
3cc93eeac8cc signature tuning
blanchet
parents: 51828
diff changeset
   451
    val hssss_hd = map2 (map2 (map2 (fn T :: _ => fn [g] => retype_free T g))) h_Tssss gssss;
3cc93eeac8cc signature tuning
blanchet
parents: 51828
diff changeset
   452
    val ((sssss, hssss_tl), lthy) =
3cc93eeac8cc signature tuning
blanchet
parents: 51828
diff changeset
   453
      lthy
3cc93eeac8cc signature tuning
blanchet
parents: 51828
diff changeset
   454
      |> mk_Freessss "q" s_Tssss
3cc93eeac8cc signature tuning
blanchet
parents: 51828
diff changeset
   455
      ||>> mk_Freessss "h" (map (map (map tl)) h_Tssss);
3cc93eeac8cc signature tuning
blanchet
parents: 51828
diff changeset
   456
    val hssss = map2 (map2 (map2 cons)) hssss_hd hssss_tl;
51831
blanchet
parents: 51830
diff changeset
   457
blanchet
parents: 51830
diff changeset
   458
    val cpss = map2 (map o rapp) cs pss;
51829
3cc93eeac8cc signature tuning
blanchet
parents: 51828
diff changeset
   459
52347
ead18e3b2c1b changed back type of corecursor for nested case, effectively reverting aa66ea552357 and 78a3d5006cf1
blanchet
parents: 52346
diff changeset
   460
    fun build_sum_inj mk_inj = build_map lthy (uncurry mk_inj o dest_sumT o snd);
ead18e3b2c1b changed back type of corecursor for nested case, effectively reverting aa66ea552357 and 78a3d5006cf1
blanchet
parents: 52346
diff changeset
   461
ead18e3b2c1b changed back type of corecursor for nested case, effectively reverting aa66ea552357 and 78a3d5006cf1
blanchet
parents: 52346
diff changeset
   462
    fun build_dtor_coiter_arg _ [] [cf] = cf
ead18e3b2c1b changed back type of corecursor for nested case, effectively reverting aa66ea552357 and 78a3d5006cf1
blanchet
parents: 52346
diff changeset
   463
      | build_dtor_coiter_arg T [cq] [cf, cf'] =
ead18e3b2c1b changed back type of corecursor for nested case, effectively reverting aa66ea552357 and 78a3d5006cf1
blanchet
parents: 52346
diff changeset
   464
        mk_If cq (build_sum_inj Inl_const (fastype_of cf, T) $ cf)
ead18e3b2c1b changed back type of corecursor for nested case, effectively reverting aa66ea552357 and 78a3d5006cf1
blanchet
parents: 52346
diff changeset
   465
          (build_sum_inj Inr_const (fastype_of cf', T) $ cf');
ead18e3b2c1b changed back type of corecursor for nested case, effectively reverting aa66ea552357 and 78a3d5006cf1
blanchet
parents: 52346
diff changeset
   466
52349
07fd21c01e93 code simplifications (cf. 78a3d5006cf1)
blanchet
parents: 52348
diff changeset
   467
    fun mk_args qssss fssss f_Tsss =
51831
blanchet
parents: 51830
diff changeset
   468
      let
52868
cca9e958da5c export ML function (for primcorec)
blanchet
parents: 52823
diff changeset
   469
        val pfss = map3 flat_corec_preds_predsss_gettersss pss qssss fssss;
51831
blanchet
parents: 51830
diff changeset
   470
        val cqssss = map2 (map o map o map o rapp) cs qssss;
blanchet
parents: 51830
diff changeset
   471
        val cfssss = map2 (map o map o map o rapp) cs fssss;
52347
ead18e3b2c1b changed back type of corecursor for nested case, effectively reverting aa66ea552357 and 78a3d5006cf1
blanchet
parents: 52346
diff changeset
   472
        val cqfsss = map3 (map3 (map3 build_dtor_coiter_arg)) f_Tsss cqssss cfssss;
ead18e3b2c1b changed back type of corecursor for nested case, effectively reverting aa66ea552357 and 78a3d5006cf1
blanchet
parents: 52346
diff changeset
   473
      in (pfss, cqfsss) end;
51831
blanchet
parents: 51830
diff changeset
   474
52349
07fd21c01e93 code simplifications (cf. 78a3d5006cf1)
blanchet
parents: 52348
diff changeset
   475
    val unfold_args = mk_args rssss gssss g_Tsss;
07fd21c01e93 code simplifications (cf. 78a3d5006cf1)
blanchet
parents: 52348
diff changeset
   476
    val corec_args = mk_args sssss hssss h_Tsss;
51831
blanchet
parents: 51830
diff changeset
   477
  in
52347
ead18e3b2c1b changed back type of corecursor for nested case, effectively reverting aa66ea552357 and 78a3d5006cf1
blanchet
parents: 52346
diff changeset
   478
    ((z, cs, cpss, [(unfold_args, unfold_types), (corec_args, corec_types)]), lthy)
51831
blanchet
parents: 51830
diff changeset
   479
  end;
51829
3cc93eeac8cc signature tuning
blanchet
parents: 51828
diff changeset
   480
52334
blanchet
parents: 52330
diff changeset
   481
fun mk_co_iters_prelims fp fpTs Cs ns mss xtor_co_iterss0 lthy =
51903
126f8d11f873 move function to library
blanchet
parents: 51902
diff changeset
   482
  let
52169
blanchet
parents: 51912
diff changeset
   483
    val thy = Proof_Context.theory_of lthy;
blanchet
parents: 51912
diff changeset
   484
52335
blanchet
parents: 52334
diff changeset
   485
    val (xtor_co_iter_fun_Tss, xtor_co_iterss) =
52329
blanchet
parents: 52328
diff changeset
   486
      map (mk_co_iters thy fp fpTs Cs #> `(mk_fp_iter_fun_types o hd)) (transpose xtor_co_iterss0)
52335
blanchet
parents: 52334
diff changeset
   487
      |> apsnd transpose o apfst transpose o split_list;
51903
126f8d11f873 move function to library
blanchet
parents: 51902
diff changeset
   488
52329
blanchet
parents: 52328
diff changeset
   489
    val ((iters_args_types, coiters_args_types), lthy') =
52207
21026c312cc3 tuning -- avoided unreadable true/false all over the place for LFP/GFP
blanchet
parents: 52197
diff changeset
   490
      if fp = Least_FP then
52335
blanchet
parents: 52334
diff changeset
   491
        mk_iters_args_types Cs ns mss xtor_co_iter_fun_Tss lthy |>> (rpair NONE o SOME)
51903
126f8d11f873 move function to library
blanchet
parents: 51902
diff changeset
   492
      else
52335
blanchet
parents: 52334
diff changeset
   493
        mk_coiters_args_types Cs ns mss xtor_co_iter_fun_Tss lthy |>> (pair NONE o SOME)
51903
126f8d11f873 move function to library
blanchet
parents: 51902
diff changeset
   494
  in
52335
blanchet
parents: 52334
diff changeset
   495
    ((xtor_co_iterss, iters_args_types, coiters_args_types), lthy')
51903
126f8d11f873 move function to library
blanchet
parents: 51902
diff changeset
   496
  end;
126f8d11f873 move function to library
blanchet
parents: 51902
diff changeset
   497
52298
608afd26a476 killed dead code
blanchet
parents: 52297
diff changeset
   498
fun mk_iter_body ctor_iter fss xssss =
608afd26a476 killed dead code
blanchet
parents: 52297
diff changeset
   499
  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
   500
51900
blanchet
parents: 51899
diff changeset
   501
fun mk_preds_getterss_join c cps sum_prod_T cqfss =
blanchet
parents: 51899
diff changeset
   502
  let val n = length cqfss in
blanchet
parents: 51899
diff changeset
   503
    Term.lambda c (mk_IfN sum_prod_T cps
blanchet
parents: 51899
diff changeset
   504
      (map2 (mk_InN_balanced sum_prod_T n) (map HOLogic.mk_tuple cqfss) (1 upto n)))
blanchet
parents: 51899
diff changeset
   505
  end;
51886
e7fac4a483b5 started factoring out coiter construction
blanchet
parents: 51885
diff changeset
   506
52348
740923a6e530 killed dead code
blanchet
parents: 52347
diff changeset
   507
fun mk_coiter_body cs cpss f_sum_prod_Ts cqfsss dtor_coiter =
52347
ead18e3b2c1b changed back type of corecursor for nested case, effectively reverting aa66ea552357 and 78a3d5006cf1
blanchet
parents: 52346
diff changeset
   508
  Term.list_comb (dtor_coiter, map4 mk_preds_getterss_join cs cpss f_sum_prod_Ts cqfsss);
51886
e7fac4a483b5 started factoring out coiter construction
blanchet
parents: 51885
diff changeset
   509
52327
blanchet
parents: 52326
diff changeset
   510
fun define_co_iters fp fpT Cs binding_specs lthy0 =
51897
9a27c870ee21 refactoring
blanchet
parents: 51896
diff changeset
   511
  let
52170
564be617ae84 generalized "mk_co_iter" to handle mutualized (co)iterators
blanchet
parents: 52169
diff changeset
   512
    val thy = Proof_Context.theory_of lthy0;
564be617ae84 generalized "mk_co_iter" to handle mutualized (co)iterators
blanchet
parents: 52169
diff changeset
   513
52327
blanchet
parents: 52326
diff changeset
   514
    val ((csts, defs), (lthy', lthy)) = lthy0
blanchet
parents: 52326
diff changeset
   515
      |> apfst split_list o fold_map (fn (b, spec) =>
blanchet
parents: 52326
diff changeset
   516
        Specification.definition (SOME (b, NONE, NoSyn), ((Thm.def_binding b, []), spec))
blanchet
parents: 52326
diff changeset
   517
        #>> apsnd snd) binding_specs
blanchet
parents: 52326
diff changeset
   518
      ||> `Local_Theory.restore;
blanchet
parents: 52326
diff changeset
   519
blanchet
parents: 52326
diff changeset
   520
    val phi = Proof_Context.export_morphism lthy lthy';
blanchet
parents: 52326
diff changeset
   521
blanchet
parents: 52326
diff changeset
   522
    val csts' = map (mk_co_iter thy fp fpT Cs o Morphism.term phi) csts;
blanchet
parents: 52326
diff changeset
   523
    val defs' = map (Morphism.thm phi) defs;
blanchet
parents: 52326
diff changeset
   524
  in
blanchet
parents: 52326
diff changeset
   525
    ((csts', defs'), lthy')
blanchet
parents: 52326
diff changeset
   526
  end;
blanchet
parents: 52326
diff changeset
   527
blanchet
parents: 52326
diff changeset
   528
fun define_iters iterNs iter_args_typess' mk_binding fpTs Cs ctor_iters lthy =
blanchet
parents: 52326
diff changeset
   529
  let
51899
c2c23ac31973 code tuning
blanchet
parents: 51897
diff changeset
   530
    val nn = length fpTs;
c2c23ac31973 code tuning
blanchet
parents: 51897
diff changeset
   531
52320
blanchet
parents: 52319
diff changeset
   532
    val fpT_to_C as Type (_, [fpT, _]) = snd (strip_typeN nn (fastype_of (hd ctor_iters)));
51897
9a27c870ee21 refactoring
blanchet
parents: 51896
diff changeset
   533
52320
blanchet
parents: 52319
diff changeset
   534
    fun generate_iter suf (f_Tss, _, fss, xssss) ctor_iter =
51897
9a27c870ee21 refactoring
blanchet
parents: 51896
diff changeset
   535
      let
52923
traytel
parents: 52899
diff changeset
   536
        val res_T = fold_rev (curry op --->) f_Tss fpT_to_C;
52309
f71d0a604e5a tuned ML variable names
blanchet
parents: 52306
diff changeset
   537
        val b = mk_binding suf;
51897
9a27c870ee21 refactoring
blanchet
parents: 51896
diff changeset
   538
        val spec =
52309
f71d0a604e5a tuned ML variable names
blanchet
parents: 52306
diff changeset
   539
          mk_Trueprop_eq (lists_bmoc fss (Free (Binding.name_of b, res_T)),
52298
608afd26a476 killed dead code
blanchet
parents: 52297
diff changeset
   540
            mk_iter_body ctor_iter fss xssss);
52309
f71d0a604e5a tuned ML variable names
blanchet
parents: 52306
diff changeset
   541
      in (b, spec) end;
51897
9a27c870ee21 refactoring
blanchet
parents: 51896
diff changeset
   542
  in
52327
blanchet
parents: 52326
diff changeset
   543
    define_co_iters Least_FP fpT Cs (map3 generate_iter iterNs iter_args_typess' ctor_iters) lthy
51897
9a27c870ee21 refactoring
blanchet
parents: 51896
diff changeset
   544
  end;
9a27c870ee21 refactoring
blanchet
parents: 51896
diff changeset
   545
52347
ead18e3b2c1b changed back type of corecursor for nested case, effectively reverting aa66ea552357 and 78a3d5006cf1
blanchet
parents: 52346
diff changeset
   546
fun define_coiters coiterNs (_, cs, cpss, coiter_args_typess') mk_binding fpTs Cs dtor_coiters
ead18e3b2c1b changed back type of corecursor for nested case, effectively reverting aa66ea552357 and 78a3d5006cf1
blanchet
parents: 52346
diff changeset
   547
    lthy =
51897
9a27c870ee21 refactoring
blanchet
parents: 51896
diff changeset
   548
  let
51899
c2c23ac31973 code tuning
blanchet
parents: 51897
diff changeset
   549
    val nn = length fpTs;
c2c23ac31973 code tuning
blanchet
parents: 51897
diff changeset
   550
52326
blanchet
parents: 52321
diff changeset
   551
    val C_to_fpT as Type (_, [_, fpT]) = snd (strip_typeN nn (fastype_of (hd dtor_coiters)));
51897
9a27c870ee21 refactoring
blanchet
parents: 51896
diff changeset
   552
52349
07fd21c01e93 code simplifications (cf. 78a3d5006cf1)
blanchet
parents: 52348
diff changeset
   553
    fun generate_coiter suf ((pfss, cqfsss), (f_sum_prod_Ts, pf_Tss)) dtor_coiter =
51897
9a27c870ee21 refactoring
blanchet
parents: 51896
diff changeset
   554
      let
52923
traytel
parents: 52899
diff changeset
   555
        val res_T = fold_rev (curry op --->) pf_Tss C_to_fpT;
52309
f71d0a604e5a tuned ML variable names
blanchet
parents: 52306
diff changeset
   556
        val b = mk_binding suf;
51897
9a27c870ee21 refactoring
blanchet
parents: 51896
diff changeset
   557
        val spec =
52309
f71d0a604e5a tuned ML variable names
blanchet
parents: 52306
diff changeset
   558
          mk_Trueprop_eq (lists_bmoc pfss (Free (Binding.name_of b, res_T)),
52348
740923a6e530 killed dead code
blanchet
parents: 52347
diff changeset
   559
            mk_coiter_body cs cpss f_sum_prod_Ts cqfsss dtor_coiter);
52309
f71d0a604e5a tuned ML variable names
blanchet
parents: 52306
diff changeset
   560
      in (b, spec) end;
51897
9a27c870ee21 refactoring
blanchet
parents: 51896
diff changeset
   561
  in
52327
blanchet
parents: 52326
diff changeset
   562
    define_co_iters Greatest_FP fpT Cs
blanchet
parents: 52326
diff changeset
   563
      (map3 generate_coiter coiterNs coiter_args_typess' dtor_coiters) lthy
52320
blanchet
parents: 52319
diff changeset
   564
  end;
51897
9a27c870ee21 refactoring
blanchet
parents: 51896
diff changeset
   565
53106
d81211f61a1b moved derivation of strong coinduction to sugar
traytel
parents: 53037
diff changeset
   566
fun derive_induct_iters_thms_for_types pre_bnfs [fold_args_types, rec_args_types] ctor_induct
52346
856b3bd1d87e killed dead code
blanchet
parents: 52345
diff changeset
   567
    ctor_iter_thmss nesting_bnfs nested_bnfs fpTs Cs Xs ctrXs_Tsss ctrss ctr_defss iterss iter_defss
856b3bd1d87e killed dead code
blanchet
parents: 52345
diff changeset
   568
    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
   569
  let
52340
blanchet
parents: 52339
diff changeset
   570
    val iterss' = transpose iterss;
blanchet
parents: 52339
diff changeset
   571
    val iter_defss' = transpose iter_defss;
blanchet
parents: 52339
diff changeset
   572
blanchet
parents: 52339
diff changeset
   573
    val [folds, recs] = iterss';
blanchet
parents: 52339
diff changeset
   574
    val [fold_defs, rec_defs] = iter_defss';
blanchet
parents: 52339
diff changeset
   575
51827
836257faaad5 tuned signature
blanchet
parents: 51824
diff changeset
   576
    val ctr_Tsss = map (map (binder_types o fastype_of)) ctrss;
836257faaad5 tuned signature
blanchet
parents: 51824
diff changeset
   577
51815
efacb9b99865 tune signatures
blanchet
parents: 51814
diff changeset
   578
    val nn = length pre_bnfs;
51827
836257faaad5 tuned signature
blanchet
parents: 51824
diff changeset
   579
    val ns = map length ctr_Tsss;
836257faaad5 tuned signature
blanchet
parents: 51824
diff changeset
   580
    val mss = map (map length) ctr_Tsss;
51815
efacb9b99865 tune signatures
blanchet
parents: 51814
diff changeset
   581
51808
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   582
    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
   583
    val pre_set_defss = map set_defs_of_bnf pre_bnfs;
52355
blanchet
parents: 52351
diff changeset
   584
    val nesting_map_ids'' = map (unfold_thms lthy [id_def] o map_id_of_bnf) nesting_bnfs;
blanchet
parents: 52351
diff changeset
   585
    val nested_map_ids'' = map (unfold_thms lthy [id_def] o map_id_of_bnf) nested_bnfs;
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   586
    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
   587
51816
5f1dec4297da use base names, not full names
blanchet
parents: 51815
diff changeset
   588
    val fp_b_names = map base_name_of_typ fpTs;
51811
1461426e2bf1 tuned function signatures
blanchet
parents: 51810
diff changeset
   589
51832
blanchet
parents: 51831
diff changeset
   590
    val ((((ps, ps'), xsss), us'), names_lthy) =
52315
fafab8eac3ee avoid duplicate call to "mk_fold_rec_args_types" function
blanchet
parents: 52314
diff changeset
   591
      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
   592
      |> mk_Frees' "P" (map mk_pred1T fpTs)
51827
836257faaad5 tuned signature
blanchet
parents: 51824
diff changeset
   593
      ||>> mk_Freesss "x" ctr_Tsss
51816
5f1dec4297da use base names, not full names
blanchet
parents: 51815
diff changeset
   594
      ||>> 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
   595
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   596
    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
   597
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   598
    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
   599
      let
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   600
        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
   601
        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
   602
        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
   603
        fun mk_set U =
52923
traytel
parents: 52899
diff changeset
   604
          (case find_index (curry op = U) lives of
51808
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   605
            ~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
   606
          | 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
   607
      in
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   608
        (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
   609
      end;
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   610
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   611
    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
   612
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   613
    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
   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
        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
   616
          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
   617
            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
   618
          end;
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   619
52310
28063e412793 support induction principles with multiple occurrences of the same type in "fpTs" and (hopefully) with loss of recursion (e.g. primrec definition of is_nil, where the IH can be dropped)
blanchet
parents: 52309
diff changeset
   620
        fun mk_raw_prem_prems _ (x as Free (_, Type _)) (X as TFree _) =
52923
traytel
parents: 52899
diff changeset
   621
            [([], (find_index (curry op = X) Xs + 1, x))]
52310
28063e412793 support induction principles with multiple occurrences of the same type in "fpTs" and (hopefully) with loss of recursion (e.g. primrec definition of is_nil, where the IH can be dropped)
blanchet
parents: 52309
diff changeset
   622
          | mk_raw_prem_prems names_lthy (x as Free (s, Type (T_name, Ts0))) (Type (_, Xs_Ts0)) =
28063e412793 support induction principles with multiple occurrences of the same type in "fpTs" and (hopefully) with loss of recursion (e.g. primrec definition of is_nil, where the IH can be dropped)
blanchet
parents: 52309
diff changeset
   623
            (case AList.lookup (op =) setss_nested T_name of
28063e412793 support induction principles with multiple occurrences of the same type in "fpTs" and (hopefully) with loss of recursion (e.g. primrec definition of is_nil, where the IH can be dropped)
blanchet
parents: 52309
diff changeset
   624
              NONE => []
28063e412793 support induction principles with multiple occurrences of the same type in "fpTs" and (hopefully) with loss of recursion (e.g. primrec definition of is_nil, where the IH can be dropped)
blanchet
parents: 52309
diff changeset
   625
            | SOME raw_sets0 =>
28063e412793 support induction principles with multiple occurrences of the same type in "fpTs" and (hopefully) with loss of recursion (e.g. primrec definition of is_nil, where the IH can be dropped)
blanchet
parents: 52309
diff changeset
   626
              let
28063e412793 support induction principles with multiple occurrences of the same type in "fpTs" and (hopefully) with loss of recursion (e.g. primrec definition of is_nil, where the IH can be dropped)
blanchet
parents: 52309
diff changeset
   627
                val (Xs_Ts, (Ts, raw_sets)) =
28063e412793 support induction principles with multiple occurrences of the same type in "fpTs" and (hopefully) with loss of recursion (e.g. primrec definition of is_nil, where the IH can be dropped)
blanchet
parents: 52309
diff changeset
   628
                  filter (exists_subtype_in Xs o fst) (Xs_Ts0 ~~ (Ts0 ~~ raw_sets0))
28063e412793 support induction principles with multiple occurrences of the same type in "fpTs" and (hopefully) with loss of recursion (e.g. primrec definition of is_nil, where the IH can be dropped)
blanchet
parents: 52309
diff changeset
   629
                  |> split_list ||> split_list;
28063e412793 support induction principles with multiple occurrences of the same type in "fpTs" and (hopefully) with loss of recursion (e.g. primrec definition of is_nil, where the IH can be dropped)
blanchet
parents: 52309
diff changeset
   630
                val sets = map (mk_set Ts0) raw_sets;
28063e412793 support induction principles with multiple occurrences of the same type in "fpTs" and (hopefully) with loss of recursion (e.g. primrec definition of is_nil, where the IH can be dropped)
blanchet
parents: 52309
diff changeset
   631
                val (ys, names_lthy') = names_lthy |> mk_Frees s Ts;
28063e412793 support induction principles with multiple occurrences of the same type in "fpTs" and (hopefully) with loss of recursion (e.g. primrec definition of is_nil, where the IH can be dropped)
blanchet
parents: 52309
diff changeset
   632
                val xysets = map (pair x) (ys ~~ sets);
28063e412793 support induction principles with multiple occurrences of the same type in "fpTs" and (hopefully) with loss of recursion (e.g. primrec definition of is_nil, where the IH can be dropped)
blanchet
parents: 52309
diff changeset
   633
                val ppremss = map2 (mk_raw_prem_prems names_lthy') ys Xs_Ts;
28063e412793 support induction principles with multiple occurrences of the same type in "fpTs" and (hopefully) with loss of recursion (e.g. primrec definition of is_nil, where the IH can be dropped)
blanchet
parents: 52309
diff changeset
   634
              in
28063e412793 support induction principles with multiple occurrences of the same type in "fpTs" and (hopefully) with loss of recursion (e.g. primrec definition of is_nil, where the IH can be dropped)
blanchet
parents: 52309
diff changeset
   635
                flat (map2 (map o apfst o cons) xysets ppremss)
28063e412793 support induction principles with multiple occurrences of the same type in "fpTs" and (hopefully) with loss of recursion (e.g. primrec definition of is_nil, where the IH can be dropped)
blanchet
parents: 52309
diff changeset
   636
              end)
28063e412793 support induction principles with multiple occurrences of the same type in "fpTs" and (hopefully) with loss of recursion (e.g. primrec definition of is_nil, where the IH can be dropped)
blanchet
parents: 52309
diff changeset
   637
          | mk_raw_prem_prems _ _ _ = [];
51808
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   638
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   639
        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
   640
          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
   641
            (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
   642
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   643
        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
   644
          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
   645
              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
   646
            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
   647
52310
28063e412793 support induction principles with multiple occurrences of the same type in "fpTs" and (hopefully) with loss of recursion (e.g. primrec definition of is_nil, where the IH can be dropped)
blanchet
parents: 52309
diff changeset
   648
        fun mk_raw_prem phi ctr ctr_Ts ctrXs_Ts =
51808
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   649
          let
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   650
            val (xs, names_lthy') = names_lthy |> mk_Frees "x" ctr_Ts;
52310
28063e412793 support induction principles with multiple occurrences of the same type in "fpTs" and (hopefully) with loss of recursion (e.g. primrec definition of is_nil, where the IH can be dropped)
blanchet
parents: 52309
diff changeset
   651
            val pprems = flat (map2 (mk_raw_prem_prems names_lthy') xs ctrXs_Ts);
51808
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   652
          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
   653
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   654
        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
   655
          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
   656
52310
28063e412793 support induction principles with multiple occurrences of the same type in "fpTs" and (hopefully) with loss of recursion (e.g. primrec definition of is_nil, where the IH can be dropped)
blanchet
parents: 52309
diff changeset
   657
        val raw_premss = map4 (map3 o mk_raw_prem) ps ctrss ctr_Tsss ctrXs_Tsss;
51808
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   658
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   659
        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
   660
          Library.foldr (Logic.list_implies o apfst (map mk_prem)) (raw_premss,
52923
traytel
parents: 52899
diff changeset
   661
            HOLogic.mk_Trueprop (Library.foldr1 HOLogic.mk_conj (map2 (curry op $) ps us)));
51808
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   662
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   663
        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
   664
51814
blanchet
parents: 51813
diff changeset
   665
        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
   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 thm =
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   668
          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
   669
            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
   670
              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
   671
          |> 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
   672
          |> 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
   673
      in
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   674
        `(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
   675
      end;
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   676
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   677
    val induct_cases = quasi_unambiguous_case_names (maps (map name_of_ctr) ctrss);
52305
3f7b92017d71 avoid code duplication
blanchet
parents: 52304
diff changeset
   678
    val induct_case_names_attr = Attrib.internal (K (Rule_Cases.case_names induct_cases));
51808
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   679
52305
3f7b92017d71 avoid code duplication
blanchet
parents: 52304
diff changeset
   680
    val xctrss = map2 (map2 (curry Term.list_comb)) ctrss xsss;
3f7b92017d71 avoid code duplication
blanchet
parents: 52304
diff changeset
   681
52306
blanchet
parents: 52305
diff changeset
   682
    fun mk_iter_thmss (_, x_Tssss, fss, _) iters iter_defs ctor_iter_thms =
51808
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   683
      let
52305
3f7b92017d71 avoid code duplication
blanchet
parents: 52304
diff changeset
   684
        val fiters = map (lists_bmoc fss) iters;
51808
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   685
51843
899663644482 rationalized terminology (iterator = fold or rec, xxfoo = (co)foo or (un)foo)
blanchet
parents: 51842
diff changeset
   686
        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
   687
          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
   688
            (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
   689
52302
blanchet
parents: 52301
diff changeset
   690
        fun maybe_tick (T, U) u f =
blanchet
parents: 52301
diff changeset
   691
          if try (fst o HOLogic.dest_prodT) U = SOME T then
blanchet
parents: 52301
diff changeset
   692
            Term.lambda u (HOLogic.mk_prod (u, f $ u))
blanchet
parents: 52301
diff changeset
   693
          else
blanchet
parents: 52301
diff changeset
   694
            f;
51808
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   695
52368
blanchet
parents: 52367
diff changeset
   696
        fun build_iter (x as Free (_, T)) U =
blanchet
parents: 52367
diff changeset
   697
          if T = U then
blanchet
parents: 52367
diff changeset
   698
            x
blanchet
parents: 52367
diff changeset
   699
          else
52303
16d7708aba40 one less flaky "fpTs" check (flaky in the presence of duplicates in "fpTs", which we want to have in "primrec")
blanchet
parents: 52302
diff changeset
   700
            build_map lthy (indexify (perhaps (try (snd o HOLogic.dest_prodT)) o snd) Cs
52368
blanchet
parents: 52367
diff changeset
   701
              (fn kk => fn TU => maybe_tick TU (nth us kk) (nth fiters kk))) (T, U) $ x;
52301
7935e82a4ae4 simpler, more robust iterator goal construction code
blanchet
parents: 52300
diff changeset
   702
52868
cca9e958da5c export ML function (for primcorec)
blanchet
parents: 52823
diff changeset
   703
        val fxsss = map2 (map2 (flat_rec_arg_args oo map2 (map o build_iter))) xsss x_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
   704
52306
blanchet
parents: 52305
diff changeset
   705
        val goalss = map5 (map4 o mk_goal fss) fiters xctrss fss xsss fxsss;
51808
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   706
52305
3f7b92017d71 avoid code duplication
blanchet
parents: 52304
diff changeset
   707
        val tacss =
3f7b92017d71 avoid code duplication
blanchet
parents: 52304
diff changeset
   708
          map2 (map o mk_iter_tac pre_map_defs (nested_map_ids'' @ nesting_map_ids'') iter_defs)
3f7b92017d71 avoid code duplication
blanchet
parents: 52304
diff changeset
   709
            ctor_iter_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
   710
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   711
        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
   712
          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
   713
          |> 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
   714
      in
52305
3f7b92017d71 avoid code duplication
blanchet
parents: 52304
diff changeset
   715
        map2 (map2 prove) goalss tacss
51808
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   716
      end;
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   717
52340
blanchet
parents: 52339
diff changeset
   718
    val fold_thmss = mk_iter_thmss fold_args_types folds fold_defs (map un_fold_of ctor_iter_thmss);
blanchet
parents: 52339
diff changeset
   719
    val rec_thmss = mk_iter_thmss rec_args_types recs rec_defs (map co_rec_of ctor_iter_thmss);
51808
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   720
  in
52345
blanchet
parents: 52344
diff changeset
   721
    ((induct_thms, induct_thm, [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
   722
     (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
   723
  end;
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   724
52347
ead18e3b2c1b changed back type of corecursor for nested case, effectively reverting aa66ea552357 and 78a3d5006cf1
blanchet
parents: 52346
diff changeset
   725
fun derive_coinduct_coiters_thms_for_types pre_bnfs (z, cs, cpss,
52869
blanchet
parents: 52868
diff changeset
   726
      coiters_args_types as [((pgss, crgsss), _), ((phss, cshsss), _)])
53106
d81211f61a1b moved derivation of strong coinduction to sugar
traytel
parents: 53037
diff changeset
   727
    dtor_coinduct dtor_ctors dtor_coiter_thmss nesting_bnfs fpTs Cs As kss mss ns ctr_defss
52968
2b430bbb5a1a define case constant from other 'free constructor' axioms
blanchet
parents: 52964
diff changeset
   728
    ctr_sugars coiterss coiter_defss export_args lthy =
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   729
  let
52339
blanchet
parents: 52338
diff changeset
   730
    val coiterss' = transpose coiterss;
blanchet
parents: 52338
diff changeset
   731
    val coiter_defss' = transpose coiter_defss;
blanchet
parents: 52338
diff changeset
   732
blanchet
parents: 52338
diff changeset
   733
    val [unfold_defs, corec_defs] = coiter_defss';
52338
blanchet
parents: 52337
diff changeset
   734
51815
efacb9b99865 tune signatures
blanchet
parents: 51814
diff changeset
   735
    val nn = length pre_bnfs;
efacb9b99865 tune signatures
blanchet
parents: 51814
diff changeset
   736
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   737
    val pre_map_defs = map map_def_of_bnf pre_bnfs;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   738
    val pre_rel_defs = map rel_def_of_bnf pre_bnfs;
52355
blanchet
parents: 52351
diff changeset
   739
    val nesting_map_ids'' = map (unfold_thms lthy [id_def] o map_id_of_bnf) nesting_bnfs;
51830
blanchet
parents: 51829
diff changeset
   740
    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
   741
51816
5f1dec4297da use base names, not full names
blanchet
parents: 51815
diff changeset
   742
    val fp_b_names = map base_name_of_typ fpTs;
51811
1461426e2bf1 tuned function signatures
blanchet
parents: 51810
diff changeset
   743
51840
b304fb6c5ef5 renamed records
blanchet
parents: 51839
diff changeset
   744
    val ctrss = map (map (mk_ctr As) o #ctrs) ctr_sugars;
b304fb6c5ef5 renamed records
blanchet
parents: 51839
diff changeset
   745
    val discss = map (map (mk_disc_or_sel As) o #discs) ctr_sugars;
b304fb6c5ef5 renamed records
blanchet
parents: 51839
diff changeset
   746
    val selsss = map (map (map (mk_disc_or_sel As)) o #selss) ctr_sugars;
b304fb6c5ef5 renamed records
blanchet
parents: 51839
diff changeset
   747
    val exhausts = map #exhaust ctr_sugars;
b304fb6c5ef5 renamed records
blanchet
parents: 51839
diff changeset
   748
    val disc_thmsss = map #disc_thmss ctr_sugars;
b304fb6c5ef5 renamed records
blanchet
parents: 51839
diff changeset
   749
    val discIss = map #discIs ctr_sugars;
b304fb6c5ef5 renamed records
blanchet
parents: 51839
diff changeset
   750
    val sel_thmsss = map #sel_thmss ctr_sugars;
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   751
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   752
    val (((rs, us'), vs'), names_lthy) =
52341
blanchet
parents: 52340
diff changeset
   753
      lthy
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   754
      |> mk_Frees "R" (map (fn T => mk_pred2T T T) fpTs)
51816
5f1dec4297da use base names, not full names
blanchet
parents: 51815
diff changeset
   755
      ||>> Variable.variant_fixes fp_b_names
5f1dec4297da use base names, not full names
blanchet
parents: 51815
diff changeset
   756
      ||>> Variable.variant_fixes (map (suffix "'") fp_b_names);
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   757
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   758
    val us = map2 (curry Free) us' fpTs;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   759
    val udiscss = map2 (map o rapp) us discss;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   760
    val uselsss = map2 (map o map o rapp) us selsss;
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
    val vs = map2 (curry Free) vs' fpTs;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   763
    val vdiscss = map2 (map o rapp) vs discss;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   764
    val vselsss = map2 (map o map o rapp) vs selsss;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   765
52345
blanchet
parents: 52344
diff changeset
   766
    val coinduct_thms_pairs =
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   767
      let
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   768
        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
   769
        val uv_eqs = map2 (curry HOLogic.mk_eq) us vs;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   770
        val strong_rs =
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   771
          map4 (fn u => fn v => fn uvr => fn uv_eq =>
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   772
            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
   773
52347
ead18e3b2c1b changed back type of corecursor for nested case, effectively reverting aa66ea552357 and 78a3d5006cf1
blanchet
parents: 52346
diff changeset
   774
        (* TODO: generalize (cf. "build_map") *)
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   775
        fun build_rel rs' T =
52923
traytel
parents: 52899
diff changeset
   776
          (case find_index (curry op = T) fpTs of
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   777
            ~1 =>
51856
blanchet
parents: 51855
diff changeset
   778
            if exists_subtype_in fpTs T then
blanchet
parents: 51855
diff changeset
   779
              let
blanchet
parents: 51855
diff changeset
   780
                val Type (s, Ts) = T
blanchet
parents: 51855
diff changeset
   781
                val bnf = the (bnf_of lthy s);
blanchet
parents: 51855
diff changeset
   782
                val live = live_of_bnf bnf;
blanchet
parents: 51855
diff changeset
   783
                val rel = mk_rel live Ts Ts (rel_of_bnf bnf);
blanchet
parents: 51855
diff changeset
   784
                val Ts' = map domain_type (fst (strip_typeN live (fastype_of rel)));
blanchet
parents: 51855
diff changeset
   785
              in Term.list_comb (rel, map (build_rel rs') Ts') end
blanchet
parents: 51855
diff changeset
   786
            else
blanchet
parents: 51855
diff changeset
   787
              HOLogic.eq_const T
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   788
          | kk => nth rs' kk);
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   789
51856
blanchet
parents: 51855
diff changeset
   790
        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
   791
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   792
        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
   793
          (if k = n then [] else [HOLogic.mk_eq (udisc, vdisc)]) @
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   794
          (if null usels then
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
           else
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   797
             [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
   798
                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
   799
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   800
        fun mk_prem_concl rs' n udiscs uselss vdiscs vselss =
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   801
          Library.foldr1 HOLogic.mk_conj
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   802
            (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
   803
          handle List.Empty => @{term True};
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
        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
   806
          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
   807
            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
   808
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   809
        val concl =
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   810
          HOLogic.mk_Trueprop (Library.foldr1 HOLogic.mk_conj
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   811
            (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
   812
               uvrs us vs));
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   813
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   814
        fun mk_goal rs' =
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   815
          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
   816
            concl);
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   817
52345
blanchet
parents: 52344
diff changeset
   818
        val goals = map mk_goal [rs, strong_rs];
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   819
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   820
        fun prove dtor_coinduct' goal =
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   821
          Goal.prove_sorry lthy [] [] goal (fn {context = ctxt, ...} =>
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   822
            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
   823
              exhausts ctr_defss disc_thmsss sel_thmsss)
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   824
          |> singleton (Proof_Context.export names_lthy lthy)
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   825
          |> Thm.close_derivation;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   826
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   827
        fun postproc nn thm =
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   828
          Thm.permute_prems 0 nn
51828
67c6d6136915 whitespace tuning
blanchet
parents: 51827
diff changeset
   829
            (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
   830
          |> Drule.zero_var_indexes
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   831
          |> `(conj_dests nn);
53106
d81211f61a1b moved derivation of strong coinduction to sugar
traytel
parents: 53037
diff changeset
   832
d81211f61a1b moved derivation of strong coinduction to sugar
traytel
parents: 53037
diff changeset
   833
        val rel_eqs = map rel_eq_of_bnf pre_bnfs;
d81211f61a1b moved derivation of strong coinduction to sugar
traytel
parents: 53037
diff changeset
   834
        val rel_monos = map rel_mono_of_bnf pre_bnfs;
d81211f61a1b moved derivation of strong coinduction to sugar
traytel
parents: 53037
diff changeset
   835
        val dtor_coinducts =
d81211f61a1b moved derivation of strong coinduction to sugar
traytel
parents: 53037
diff changeset
   836
          [dtor_coinduct, mk_strong_coinduct_thm dtor_coinduct rel_eqs rel_monos lthy];
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   837
      in
52345
blanchet
parents: 52344
diff changeset
   838
        map2 (postproc nn oo prove) dtor_coinducts goals
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   839
      end;
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
    fun mk_coinduct_concls ms discs ctrs =
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   842
      let
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   843
        fun mk_disc_concl disc = [name_of_disc disc];
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   844
        fun mk_ctr_concl 0 _ = []
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   845
          | mk_ctr_concl _ ctor = [name_of_ctr ctor];
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   846
        val disc_concls = map mk_disc_concl (fst (split_last discs)) @ [[]];
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   847
        val ctr_concls = map2 mk_ctr_concl ms ctrs;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   848
      in
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   849
        flat (map2 append disc_concls ctr_concls)
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   850
      end;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   851
51816
5f1dec4297da use base names, not full names
blanchet
parents: 51815
diff changeset
   852
    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
   853
    val coinduct_conclss =
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   854
      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
   855
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   856
    fun mk_maybe_not pos = not pos ? HOLogic.mk_not;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   857
52339
blanchet
parents: 52338
diff changeset
   858
    val fcoiterss' as [gunfolds, hcorecs] =
52869
blanchet
parents: 52868
diff changeset
   859
      map2 (fn (pfss, _) => map (lists_bmoc pfss)) (map fst coiters_args_types) coiterss';
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   860
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   861
    val (unfold_thmss, corec_thmss, safe_unfold_thmss, safe_corec_thmss) =
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   862
      let
51843
899663644482 rationalized terminology (iterator = fold or rec, xxfoo = (co)foo or (un)foo)
blanchet
parents: 51842
diff changeset
   863
        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
   864
          fold_rev (fold_rev Logic.all) ([c] :: pfss)
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   865
            (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
   866
               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
   867
52347
ead18e3b2c1b changed back type of corecursor for nested case, effectively reverting aa66ea552357 and 78a3d5006cf1
blanchet
parents: 52346
diff changeset
   868
        fun mk_U maybe_mk_sumT =
ead18e3b2c1b changed back type of corecursor for nested case, effectively reverting aa66ea552357 and 78a3d5006cf1
blanchet
parents: 52346
diff changeset
   869
          typ_subst_nonatomic (map2 (fn C => fn fpT => (maybe_mk_sumT fpT C, fpT)) Cs fpTs);
ead18e3b2c1b changed back type of corecursor for nested case, effectively reverting aa66ea552357 and 78a3d5006cf1
blanchet
parents: 52346
diff changeset
   870
ead18e3b2c1b changed back type of corecursor for nested case, effectively reverting aa66ea552357 and 78a3d5006cf1
blanchet
parents: 52346
diff changeset
   871
        fun tack z_name (c, u) f =
ead18e3b2c1b changed back type of corecursor for nested case, effectively reverting aa66ea552357 and 78a3d5006cf1
blanchet
parents: 52346
diff changeset
   872
          let val z = Free (z_name, mk_sumT (fastype_of u, fastype_of c)) in
ead18e3b2c1b changed back type of corecursor for nested case, effectively reverting aa66ea552357 and 78a3d5006cf1
blanchet
parents: 52346
diff changeset
   873
            Term.lambda z (mk_sum_case (Term.lambda u u, Term.lambda c (f $ c)) $ z)
ead18e3b2c1b changed back type of corecursor for nested case, effectively reverting aa66ea552357 and 78a3d5006cf1
blanchet
parents: 52346
diff changeset
   874
          end;
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   875
52368
blanchet
parents: 52367
diff changeset
   876
        fun build_coiter fcoiters maybe_mk_sumT maybe_tack cqf =
52347
ead18e3b2c1b changed back type of corecursor for nested case, effectively reverting aa66ea552357 and 78a3d5006cf1
blanchet
parents: 52346
diff changeset
   877
          let val T = fastype_of cqf in
ead18e3b2c1b changed back type of corecursor for nested case, effectively reverting aa66ea552357 and 78a3d5006cf1
blanchet
parents: 52346
diff changeset
   878
            if exists_subtype_in Cs T then
52368
blanchet
parents: 52367
diff changeset
   879
              let val U = mk_U maybe_mk_sumT T in
52968
2b430bbb5a1a define case constant from other 'free constructor' axioms
blanchet
parents: 52964
diff changeset
   880
                build_map lthy (indexify snd fpTs (fn kk => fn _ =>
52368
blanchet
parents: 52367
diff changeset
   881
                  maybe_tack (nth cs kk, nth us kk) (nth fcoiters kk))) (T, U) $ cqf
blanchet
parents: 52367
diff changeset
   882
              end
52347
ead18e3b2c1b changed back type of corecursor for nested case, effectively reverting aa66ea552357 and 78a3d5006cf1
blanchet
parents: 52346
diff changeset
   883
            else
ead18e3b2c1b changed back type of corecursor for nested case, effectively reverting aa66ea552357 and 78a3d5006cf1
blanchet
parents: 52346
diff changeset
   884
              cqf
ead18e3b2c1b changed back type of corecursor for nested case, effectively reverting aa66ea552357 and 78a3d5006cf1
blanchet
parents: 52346
diff changeset
   885
          end;
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   886
52368
blanchet
parents: 52367
diff changeset
   887
        val crgsss' = map (map (map (build_coiter (un_fold_of fcoiterss') (K I) (K I)))) crgsss;
blanchet
parents: 52367
diff changeset
   888
        val cshsss' = map (map (map (build_coiter (co_rec_of fcoiterss') (curry mk_sumT) (tack z))))
52351
blanchet
parents: 52349
diff changeset
   889
          cshsss;
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   890
52347
ead18e3b2c1b changed back type of corecursor for nested case, effectively reverting aa66ea552357 and 78a3d5006cf1
blanchet
parents: 52346
diff changeset
   891
        val unfold_goalss = map8 (map4 oooo mk_goal pgss) cs cpss gunfolds ns kss ctrss mss crgsss';
ead18e3b2c1b changed back type of corecursor for nested case, effectively reverting aa66ea552357 and 78a3d5006cf1
blanchet
parents: 52346
diff changeset
   892
        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
   893
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   894
        val unfold_tacss =
52349
07fd21c01e93 code simplifications (cf. 78a3d5006cf1)
blanchet
parents: 52348
diff changeset
   895
          map3 (map oo mk_coiter_tac unfold_defs nesting_map_ids'')
52340
blanchet
parents: 52339
diff changeset
   896
            (map un_fold_of dtor_coiter_thmss) pre_map_defs ctr_defss;
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   897
        val corec_tacss =
52349
07fd21c01e93 code simplifications (cf. 78a3d5006cf1)
blanchet
parents: 52348
diff changeset
   898
          map3 (map oo mk_coiter_tac corec_defs nesting_map_ids'')
52340
blanchet
parents: 52339
diff changeset
   899
            (map co_rec_of dtor_coiter_thmss) pre_map_defs ctr_defss;
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   900
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   901
        fun prove goal tac =
51815
efacb9b99865 tune signatures
blanchet
parents: 51814
diff changeset
   902
          Goal.prove_sorry lthy [] [] goal (tac o #context)
efacb9b99865 tune signatures
blanchet
parents: 51814
diff changeset
   903
          |> Thm.close_derivation;
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   904
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   905
        val unfold_thmss = map2 (map2 prove) unfold_goalss unfold_tacss;
52347
ead18e3b2c1b changed back type of corecursor for nested case, effectively reverting aa66ea552357 and 78a3d5006cf1
blanchet
parents: 52346
diff changeset
   906
        val corec_thmss =
ead18e3b2c1b changed back type of corecursor for nested case, effectively reverting aa66ea552357 and 78a3d5006cf1
blanchet
parents: 52346
diff changeset
   907
          map2 (map2 prove) corec_goalss corec_tacss
ead18e3b2c1b changed back type of corecursor for nested case, effectively reverting aa66ea552357 and 78a3d5006cf1
blanchet
parents: 52346
diff changeset
   908
          |> map (map (unfold_thms lthy @{thms sum_case_if}));
ead18e3b2c1b changed back type of corecursor for nested case, effectively reverting aa66ea552357 and 78a3d5006cf1
blanchet
parents: 52346
diff changeset
   909
52923
traytel
parents: 52899
diff changeset
   910
        val unfold_safesss = map2 (map2 (map2 (curry op =))) crgsss' crgsss;
traytel
parents: 52899
diff changeset
   911
        val corec_safesss = map2 (map2 (map2 (curry op =))) cshsss' cshsss;
52347
ead18e3b2c1b changed back type of corecursor for nested case, effectively reverting aa66ea552357 and 78a3d5006cf1
blanchet
parents: 52346
diff changeset
   912
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   913
        val filter_safesss =
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   914
          map2 (map_filter (fn (safes, thm) => if forall I safes then SOME thm else NONE) oo
52347
ead18e3b2c1b changed back type of corecursor for nested case, effectively reverting aa66ea552357 and 78a3d5006cf1
blanchet
parents: 52346
diff changeset
   915
            curry (op ~~));
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   916
52347
ead18e3b2c1b changed back type of corecursor for nested case, effectively reverting aa66ea552357 and 78a3d5006cf1
blanchet
parents: 52346
diff changeset
   917
        val safe_unfold_thmss = filter_safesss unfold_safesss unfold_thmss;
ead18e3b2c1b changed back type of corecursor for nested case, effectively reverting aa66ea552357 and 78a3d5006cf1
blanchet
parents: 52346
diff changeset
   918
        val safe_corec_thmss = filter_safesss corec_safesss corec_thmss;
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   919
      in
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   920
        (unfold_thmss, corec_thmss, safe_unfold_thmss, safe_corec_thmss)
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   921
      end;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   922
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   923
    val (disc_unfold_iff_thmss, disc_corec_iff_thmss) =
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   924
      let
51843
899663644482 rationalized terminology (iterator = fold or rec, xxfoo = (co)foo or (un)foo)
blanchet
parents: 51842
diff changeset
   925
        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
   926
          mk_Trueprop_eq (disc $ (fcoiter $ c),
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   927
            if n = 1 then @{const True}
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   928
            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
   929
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   930
        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
   931
        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
   932
51828
67c6d6136915 whitespace tuning
blanchet
parents: 51827
diff changeset
   933
        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
   934
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   935
        val case_splitss' = map (map mk_case_split') cpss;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   936
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   937
        val unfold_tacss =
51843
899663644482 rationalized terminology (iterator = fold or rec, xxfoo = (co)foo or (un)foo)
blanchet
parents: 51842
diff changeset
   938
          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
   939
        val corec_tacss =
51843
899663644482 rationalized terminology (iterator = fold or rec, xxfoo = (co)foo or (un)foo)
blanchet
parents: 51842
diff changeset
   940
          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
   941
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   942
        fun prove goal tac =
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   943
          Goal.prove_sorry lthy [] [] goal (tac o #context)
52357
a5d3730043c2 use right context when exporting variables (cf. AFP Coinductive_List failures)
blanchet
parents: 52356
diff changeset
   944
          |> singleton export_args
51829
3cc93eeac8cc signature tuning
blanchet
parents: 51828
diff changeset
   945
          |> singleton (Proof_Context.export names_lthy lthy)
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   946
          |> Thm.close_derivation;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   947
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   948
        fun proves [_] [_] = []
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   949
          | proves goals tacs = map2 prove goals tacs;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   950
      in
51828
67c6d6136915 whitespace tuning
blanchet
parents: 51827
diff changeset
   951
        (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
   952
      end;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   953
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   954
    val is_triv_discI = is_triv_implies orf is_concl_refl;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   955
51843
899663644482 rationalized terminology (iterator = fold or rec, xxfoo = (co)foo or (un)foo)
blanchet
parents: 51842
diff changeset
   956
    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
   957
      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
   958
51843
899663644482 rationalized terminology (iterator = fold or rec, xxfoo = (co)foo or (un)foo)
blanchet
parents: 51842
diff changeset
   959
    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
   960
    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
   961
51843
899663644482 rationalized terminology (iterator = fold or rec, xxfoo = (co)foo or (un)foo)
blanchet
parents: 51842
diff changeset
   962
    fun mk_sel_coiter_thm coiter_thm sel sel_thm =
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   963
      let
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   964
        val (domT, ranT) = dest_funT (fastype_of sel);
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   965
        val arg_cong' =
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   966
          Drule.instantiate' (map (SOME o certifyT lthy) [domT, ranT])
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   967
            [NONE, NONE, SOME (certify lthy sel)] arg_cong
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   968
          |> Thm.varifyT_global;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   969
        val sel_thm' = sel_thm RSN (2, trans);
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   970
      in
51843
899663644482 rationalized terminology (iterator = fold or rec, xxfoo = (co)foo or (un)foo)
blanchet
parents: 51842
diff changeset
   971
        coiter_thm RS arg_cong' RS sel_thm'
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   972
      end;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   973
52321
blanchet
parents: 52320
diff changeset
   974
    fun mk_sel_coiter_thms coiter_thmss =
blanchet
parents: 52320
diff changeset
   975
      map3 (map3 (map2 o mk_sel_coiter_thm)) coiter_thmss selsss sel_thmsss |> map flat;
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   976
51843
899663644482 rationalized terminology (iterator = fold or rec, xxfoo = (co)foo or (un)foo)
blanchet
parents: 51842
diff changeset
   977
    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
   978
    val sel_corec_thmss = mk_sel_coiter_thms corec_thmss;
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   979
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   980
    val coinduct_consumes_attr = Attrib.internal (K (Rule_Cases.consumes nn));
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   981
    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
   982
    val coinduct_case_concl_attrs =
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   983
      map2 (fn casex => fn concls =>
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   984
          Attrib.internal (K (Rule_Cases.case_conclusion (casex, concls))))
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   985
        coinduct_cases coinduct_conclss;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   986
    val coinduct_case_attrs =
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   987
      coinduct_consumes_attr :: coinduct_case_names_attr :: coinduct_case_concl_attrs;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   988
  in
52345
blanchet
parents: 52344
diff changeset
   989
    ((coinduct_thms_pairs, coinduct_case_attrs),
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   990
     (unfold_thmss, corec_thmss, []),
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   991
     (safe_unfold_thmss, safe_corec_thmss),
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   992
     (disc_unfold_thmss, disc_corec_thmss, simp_attrs),
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   993
     (disc_unfold_iff_thmss, disc_corec_iff_thmss, simp_attrs),
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   994
     (sel_unfold_thmss, sel_corec_thmss, simp_attrs))
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   995
  end;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   996
52207
21026c312cc3 tuning -- avoided unreadable true/false all over the place for LFP/GFP
blanchet
parents: 52197
diff changeset
   997
fun define_co_datatypes prepare_constraint prepare_typ prepare_term fp construct_fp
52969
f2df0730f8ac clarified option name (since case/fold/rec are also destructors)
blanchet
parents: 52968
diff changeset
   998
    (wrap_opts as (no_discs_sels, rep_compat), specs) no_defs_lthy0 =
49112
4de4635d8f93 started work on sugared "(co)data" commands
blanchet
parents:
diff changeset
   999
  let
49298
36e551d3af3b support for sort constraints in new (co)data commands
blanchet
parents: 49297
diff changeset
  1000
    (* TODO: sanity checks on arguments *)
36e551d3af3b support for sort constraints in new (co)data commands
blanchet
parents: 49297
diff changeset
  1001
52969
f2df0730f8ac clarified option name (since case/fold/rec are also destructors)
blanchet
parents: 52968
diff changeset
  1002
    val _ = if fp = Greatest_FP andalso no_discs_sels then
f2df0730f8ac clarified option name (since case/fold/rec are also destructors)
blanchet
parents: 52968
diff changeset
  1003
        error "Cannot define codatatypes without discriminators and selectors"
52207
21026c312cc3 tuning -- avoided unreadable true/false all over the place for LFP/GFP
blanchet
parents: 52197
diff changeset
  1004
      else
21026c312cc3 tuning -- avoided unreadable true/false all over the place for LFP/GFP
blanchet
parents: 52197
diff changeset
  1005
        ();
49278
718e4ad1517e added no_dests option
blanchet
parents: 49277
diff changeset
  1006
49633
5b5450bc544c compatibility option to use "rep_datatype"
blanchet
parents: 49622
diff changeset
  1007
    fun qualify mandatory fp_b_name =
5b5450bc544c compatibility option to use "rep_datatype"
blanchet
parents: 49622
diff changeset
  1008
      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
  1009
49367
blanchet
parents: 49366
diff changeset
  1010
    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
  1011
    val fp_bs = map type_binding_of specs;
49498
acc583e14167 tuned variable names
blanchet
parents: 49484
diff changeset
  1012
    val fp_b_names = map Binding.name_of fp_bs;
acc583e14167 tuned variable names
blanchet
parents: 49484
diff changeset
  1013
    val fp_common_name = mk_common_name fp_b_names;
52964
33dd3795ec22 qualify map and rel names
blanchet
parents: 52962
diff changeset
  1014
    val map_bs = map2 (fn fp_b_name => qualify false fp_b_name o map_binding_of) fp_b_names specs;
33dd3795ec22 qualify map and rel names
blanchet
parents: 52962
diff changeset
  1015
    val rel_bs = map2 (fn fp_b_name => qualify false fp_b_name o rel_binding_of) fp_b_names specs;
49298
36e551d3af3b support for sort constraints in new (co)data commands
blanchet
parents: 49297
diff changeset
  1016
51758
55963309557b honor user-specified name for map function
blanchet
parents: 51757
diff changeset
  1017
    fun prepare_type_arg (_, (ty, c)) =
49298
36e551d3af3b support for sort constraints in new (co)data commands
blanchet
parents: 49297
diff changeset
  1018
      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
  1019
        TFree (s, prepare_constraint no_defs_lthy0 c)
36e551d3af3b support for sort constraints in new (co)data commands
blanchet
parents: 49297
diff changeset
  1020
      end;
36e551d3af3b support for sort constraints in new (co)data commands
blanchet
parents: 49297
diff changeset
  1021
51758
55963309557b honor user-specified name for map function
blanchet
parents: 51757
diff changeset
  1022
    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
  1023
    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
  1024
    val unsorted_As = Library.foldr1 merge_type_args unsorted_Ass0;
51758
55963309557b honor user-specified name for map function
blanchet
parents: 51757
diff changeset
  1025
    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
  1026
52960
f583d7b72d4e gracefully handle one more error condition
blanchet
parents: 52959
diff changeset
  1027
    val _ = has_duplicates (op =) unsorted_As andalso
f583d7b72d4e gracefully handle one more error condition
blanchet
parents: 52959
diff changeset
  1028
      error ("Duplicate parameters in " ^ co_prefix fp ^ "datatype specification");
f583d7b72d4e gracefully handle one more error condition
blanchet
parents: 52959
diff changeset
  1029
52959
8d581fd1b46f gracefully fail to define polymorphic (co)datatypes in local context
blanchet
parents: 52923
diff changeset
  1030
    val bad_args =
8d581fd1b46f gracefully fail to define polymorphic (co)datatypes in local context
blanchet
parents: 52923
diff changeset
  1031
      map (Logic.type_map (singleton (Variable.polymorphic no_defs_lthy0))) unsorted_As
8d581fd1b46f gracefully fail to define polymorphic (co)datatypes in local context
blanchet
parents: 52923
diff changeset
  1032
      |> filter_out Term.is_TVar;
8d581fd1b46f gracefully fail to define polymorphic (co)datatypes in local context
blanchet
parents: 52923
diff changeset
  1033
    val _ = null bad_args orelse
8d581fd1b46f gracefully fail to define polymorphic (co)datatypes in local context
blanchet
parents: 52923
diff changeset
  1034
      error ("Locally fixed type argument " ^
8d581fd1b46f gracefully fail to define polymorphic (co)datatypes in local context
blanchet
parents: 52923
diff changeset
  1035
        quote (Syntax.string_of_typ no_defs_lthy0 (hd bad_args)) ^ " in " ^ co_prefix fp ^
8d581fd1b46f gracefully fail to define polymorphic (co)datatypes in local context
blanchet
parents: 52923
diff changeset
  1036
        "datatype specification");
8d581fd1b46f gracefully fail to define polymorphic (co)datatypes in local context
blanchet
parents: 52923
diff changeset
  1037
49585
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
  1038
    val (((Bs0, Cs), Xs), no_defs_lthy) =
49298
36e551d3af3b support for sort constraints in new (co)data commands
blanchet
parents: 49297
diff changeset
  1039
      no_defs_lthy0
36e551d3af3b support for sort constraints in new (co)data commands
blanchet
parents: 49297
diff changeset
  1040
      |> 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
  1041
      |> mk_TFrees (length unsorted_As)
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
  1042
      ||>> mk_TFrees nn
51858
7a08fe1e19b1 added and moved library functions (used in primrec code)
blanchet
parents: 51857
diff changeset
  1043
      ||>> variant_tfrees fp_b_names;
49119
1f605c36869c more work on FP sugar
blanchet
parents: 49112
diff changeset
  1044
52962
6a7ee03902c3 made (hopefully temporary) hack more robust
blanchet
parents: 52961
diff changeset
  1045
    (* TODO: Cleaner handling of fake contexts, without "background_theory". *)
51768
d2a236b10796 proper error generated for wrong mixfix
blanchet
parents: 51767
diff changeset
  1046
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
  1047
    fun add_fake_type spec =
52962
6a7ee03902c3 made (hopefully temporary) hack more robust
blanchet
parents: 52961
diff changeset
  1048
      (*The "qualify" hack below is for the case where the new type shadows an existing global type
6a7ee03902c3 made (hopefully temporary) hack more robust
blanchet
parents: 52961
diff changeset
  1049
        defined in the same theory.*)
6a7ee03902c3 made (hopefully temporary) hack more robust
blanchet
parents: 52961
diff changeset
  1050
      Sign.add_type no_defs_lthy (qualify false "" (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
  1051
        length (type_args_named_constrained_of spec), mixfix_of spec);
51768
d2a236b10796 proper error generated for wrong mixfix
blanchet
parents: 51767
diff changeset
  1052
52788
da1fdbfebd39 type theory is purely value-oriented;
wenzelm
parents: 52659
diff changeset
  1053
    val fake_thy = fold add_fake_type specs;
49298
36e551d3af3b support for sort constraints in new (co)data commands
blanchet
parents: 49297
diff changeset
  1054
    val fake_lthy = Proof_Context.background_theory fake_thy no_defs_lthy;
49119
1f605c36869c more work on FP sugar
blanchet
parents: 49112
diff changeset
  1055
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
  1056
    fun mk_fake_T b =
49121
9e0acaa470ab more work on FP sugar
blanchet
parents: 49119
diff changeset
  1057
      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
  1058
        unsorted_As);
49121
9e0acaa470ab more work on FP sugar
blanchet
parents: 49119
diff changeset
  1059
49302
f5bd87aac224 added optional qualifiers for constructors and destructors, similarly to the old package
blanchet
parents: 49300
diff changeset
  1060
    val fake_Ts = map mk_fake_T fp_bs;
49121
9e0acaa470ab more work on FP sugar
blanchet
parents: 49119
diff changeset
  1061
49181
blanchet
parents: 49180
diff changeset
  1062
    val mixfixes = map mixfix_of specs;
49119
1f605c36869c more work on FP sugar
blanchet
parents: 49112
diff changeset
  1063
49302
f5bd87aac224 added optional qualifiers for constructors and destructors, similarly to the old package
blanchet
parents: 49300
diff changeset
  1064
    val _ = (case duplicates Binding.eq_name fp_bs of [] => ()
49119
1f605c36869c more work on FP sugar
blanchet
parents: 49112
diff changeset
  1065
      | b :: _ => error ("Duplicate type name declaration " ^ quote (Binding.name_of b)));
1f605c36869c more work on FP sugar
blanchet
parents: 49112
diff changeset
  1066
49121
9e0acaa470ab more work on FP sugar
blanchet
parents: 49119
diff changeset
  1067
    val ctr_specss = map ctr_specs_of specs;
49119
1f605c36869c more work on FP sugar
blanchet
parents: 49112
diff changeset
  1068
49336
blanchet
parents: 49330
diff changeset
  1069
    val disc_bindingss = map (map disc_of) ctr_specss;
blanchet
parents: 49330
diff changeset
  1070
    val ctr_bindingss =
49633
5b5450bc544c compatibility option to use "rep_datatype"
blanchet
parents: 49622
diff changeset
  1071
      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
  1072
    val ctr_argsss = map (map args_of) ctr_specss;
49181
blanchet
parents: 49180
diff changeset
  1073
    val ctr_mixfixess = map (map ctr_mixfix_of) ctr_specss;
49119
1f605c36869c more work on FP sugar
blanchet
parents: 49112
diff changeset
  1074
49336
blanchet
parents: 49330
diff changeset
  1075
    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
  1076
    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
  1077
    val raw_sel_defaultsss = map (map defaults_of) ctr_specss;
dde4967c9233 added "defaults" option
blanchet
parents: 49280
diff changeset
  1078
49308
6190b701e4f4 reorganized dependencies so that the sugar does not depend on GFP -- this will be essential for bootstrapping
blanchet
parents: 49302
diff changeset
  1079
    val (As :: _) :: fake_ctr_Tsss =
49298
36e551d3af3b support for sort constraints in new (co)data commands
blanchet
parents: 49297
diff changeset
  1080
      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
  1081
36e551d3af3b support for sort constraints in new (co)data commands
blanchet
parents: 49297
diff changeset
  1082
    val _ = (case duplicates (op =) unsorted_As of [] => ()
36e551d3af3b support for sort constraints in new (co)data commands
blanchet
parents: 49297
diff changeset
  1083
      | A :: _ => error ("Duplicate type parameter " ^
36e551d3af3b support for sort constraints in new (co)data commands
blanchet
parents: 49297
diff changeset
  1084
          quote (Syntax.string_of_typ no_defs_lthy A)));
36e551d3af3b support for sort constraints in new (co)data commands
blanchet
parents: 49297
diff changeset
  1085
49183
0cc46e2dee7e careful about constructor types w.r.t. fake context (third step of localization)
blanchet
parents: 49182
diff changeset
  1086
    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
  1087
    val _ = (case subtract (op =) (map dest_TFree As) rhs_As' of
49165
c6ccaf6df93c check type variables on rhs
blanchet
parents: 49161
diff changeset
  1088
        [] => ()
49342
8ea4bad49ed5 rough and ready induction
blanchet
parents: 49338
diff changeset
  1089
      | A' :: _ => error ("Extra type variable on right-hand side: " ^
49204
0b735fb2602e generate iter/rec goals
blanchet
parents: 49203
diff changeset
  1090
          quote (Syntax.string_of_typ no_defs_lthy (TFree A'))));
49165
c6ccaf6df93c check type variables on rhs
blanchet
parents: 49161
diff changeset
  1091
49591
91b228e26348 generate high-level "coinduct" and "strong_coinduct" properties
blanchet
parents: 49590
diff changeset
  1092
    fun eq_fpT_check (T as Type (s, Us)) (Type (s', Us')) =
49146
e32b1f748854 added a check
blanchet
parents: 49135
diff changeset
  1093
        s = s' andalso (Us = Us' orelse error ("Illegal occurrence of recursive type " ^
e32b1f748854 added a check
blanchet
parents: 49135
diff changeset
  1094
          quote (Syntax.string_of_typ fake_lthy T)))
49591
91b228e26348 generate high-level "coinduct" and "strong_coinduct" properties
blanchet
parents: 49590
diff changeset
  1095
      | eq_fpT_check _ _ = false;
49146
e32b1f748854 added a check
blanchet
parents: 49135
diff changeset
  1096
49204
0b735fb2602e generate iter/rec goals
blanchet
parents: 49203
diff changeset
  1097
    fun freeze_fp (T as Type (s, Us)) =
49591
91b228e26348 generate high-level "coinduct" and "strong_coinduct" properties
blanchet
parents: 49590
diff changeset
  1098
        (case find_index (eq_fpT_check T) fake_Ts of
91b228e26348 generate high-level "coinduct" and "strong_coinduct" properties
blanchet
parents: 49590
diff changeset
  1099
          ~1 => Type (s, map freeze_fp Us)
91b228e26348 generate high-level "coinduct" and "strong_coinduct" properties
blanchet
parents: 49590
diff changeset
  1100
        | kk => nth Xs kk)
49204
0b735fb2602e generate iter/rec goals
blanchet
parents: 49203
diff changeset
  1101
      | freeze_fp T = T;
49121
9e0acaa470ab more work on FP sugar
blanchet
parents: 49119
diff changeset
  1102
52310
28063e412793 support induction principles with multiple occurrences of the same type in "fpTs" and (hopefully) with loss of recursion (e.g. primrec definition of is_nil, where the IH can be dropped)
blanchet
parents: 52309
diff changeset
  1103
    val ctrXs_Tsss = map (map (map freeze_fp)) fake_ctr_Tsss;
28063e412793 support induction principles with multiple occurrences of the same type in "fpTs" and (hopefully) with loss of recursion (e.g. primrec definition of is_nil, where the IH can be dropped)
blanchet
parents: 52309
diff changeset
  1104
    val ctrXs_sum_prod_Ts = map (mk_sumTN_balanced o map HOLogic.mk_tupleT) ctrXs_Tsss;
49119
1f605c36869c more work on FP sugar
blanchet
parents: 49112
diff changeset
  1105
49298
36e551d3af3b support for sort constraints in new (co)data commands
blanchet
parents: 49297
diff changeset
  1106
    val fp_eqs =
52310
28063e412793 support induction principles with multiple occurrences of the same type in "fpTs" and (hopefully) with loss of recursion (e.g. primrec definition of is_nil, where the IH can be dropped)
blanchet
parents: 52309
diff changeset
  1107
      map dest_TFree Xs ~~ map (Term.typ_subst_atomic (As ~~ unsorted_As)) ctrXs_sum_prod_Ts;
49121
9e0acaa470ab more work on FP sugar
blanchet
parents: 49119
diff changeset
  1108
51839
5c552de1d8d1 added constructors to data structure
blanchet
parents: 51838
diff changeset
  1109
    val (pre_bnfs, (fp_res as {bnfs = fp_bnfs as any_fp_bnf :: _, ctors = ctors0, dtors = dtors0,
53106
d81211f61a1b moved derivation of strong coinduction to sugar
traytel
parents: 53037
diff changeset
  1110
           xtor_co_iterss = xtor_co_iterss0, xtor_co_induct, dtor_ctors, ctor_dtors, ctor_injects,
52344
blanchet
parents: 52343
diff changeset
  1111
           xtor_map_thms, xtor_set_thmss, xtor_rel_thms, xtor_co_iter_thmss, ...}, lthy)) =
51868
4ab609682752 code tuning
blanchet
parents: 51867
diff changeset
  1112
      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
  1113
        no_defs_lthy0;
49585
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
  1114
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
  1115
    val timer = time (Timer.startRealTimer ());
49121
9e0acaa470ab more work on FP sugar
blanchet
parents: 49119
diff changeset
  1116
52310
28063e412793 support induction principles with multiple occurrences of the same type in "fpTs" and (hopefully) with loss of recursion (e.g. primrec definition of is_nil, where the IH can be dropped)
blanchet
parents: 52309
diff changeset
  1117
    val nesting_bnfs = nesty_bnfs lthy ctrXs_Tsss As;
28063e412793 support induction principles with multiple occurrences of the same type in "fpTs" and (hopefully) with loss of recursion (e.g. primrec definition of is_nil, where the IH can be dropped)
blanchet
parents: 52309
diff changeset
  1118
    val nested_bnfs = nesty_bnfs lthy ctrXs_Tsss Xs;
49226
510c6d4a73ec fixed and enabled iterator/recursor theorems
blanchet
parents: 49224
diff changeset
  1119
49585
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
  1120
    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
  1121
    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
  1122
    val pre_rel_defs = map rel_def_of_bnf pre_bnfs;
51830
blanchet
parents: 51829
diff changeset
  1123
    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
  1124
    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
  1125
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
  1126
    val live = live_of_bnf any_fp_bnf;
52961
bb8787b20437 added warning
blanchet
parents: 52960
diff changeset
  1127
    val _ =
bb8787b20437 added warning
blanchet
parents: 52960
diff changeset
  1128
      if live = 0 andalso exists (not o Binding.is_empty) (map_bs @ rel_bs) then
bb8787b20437 added warning
blanchet
parents: 52960
diff changeset
  1129
        warning ("Map function and relator names ignored")
bb8787b20437 added warning
blanchet
parents: 52960
diff changeset
  1130
      else
bb8787b20437 added warning
blanchet
parents: 52960
diff changeset
  1131
        ();
49585
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
  1132
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
  1133
    val Bs =
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
  1134
      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
  1135
        (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
  1136
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
  1137
    val B_ify = Term.typ_subst_atomic (As ~~ Bs);
49167
68623861e0f2 print timing information
blanchet
parents: 49165
diff changeset
  1138
49501
acc9635a644a renamed "fld"/"unf" to "ctor"/"dtor"
blanchet
parents: 49498
diff changeset
  1139
    val ctors = map (mk_ctor As) ctors0;
acc9635a644a renamed "fld"/"unf" to "ctor"/"dtor"
blanchet
parents: 49498
diff changeset
  1140
    val dtors = map (mk_dtor As) dtors0;
49124
968e1b7de057 more work on FP sugar
blanchet
parents: 49123
diff changeset
  1141
49501
acc9635a644a renamed "fld"/"unf" to "ctor"/"dtor"
blanchet
parents: 49498
diff changeset
  1142
    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
  1143
51780
67e4ed510dfb register coinductive type's coinduct rule
blanchet
parents: 51777
diff changeset
  1144
    fun massage_simple_notes base =
67e4ed510dfb register coinductive type's coinduct rule
blanchet
parents: 51777
diff changeset
  1145
      filter_out (null o #2)
67e4ed510dfb register coinductive type's coinduct rule
blanchet
parents: 51777
diff changeset
  1146
      #> map (fn (thmN, thms, attrs) =>
67e4ed510dfb register coinductive type's coinduct rule
blanchet
parents: 51777
diff changeset
  1147
        ((qualify true base (Binding.name thmN), attrs), [(thms, [])]));
67e4ed510dfb register coinductive type's coinduct rule
blanchet
parents: 51777
diff changeset
  1148
67e4ed510dfb register coinductive type's coinduct rule
blanchet
parents: 51777
diff changeset
  1149
    val massage_multi_notes =
67e4ed510dfb register coinductive type's coinduct rule
blanchet
parents: 51777
diff changeset
  1150
      maps (fn (thmN, thmss, attrs) =>
67e4ed510dfb register coinductive type's coinduct rule
blanchet
parents: 51777
diff changeset
  1151
        if forall null thmss then
67e4ed510dfb register coinductive type's coinduct rule
blanchet
parents: 51777
diff changeset
  1152
          []
67e4ed510dfb register coinductive type's coinduct rule
blanchet
parents: 51777
diff changeset
  1153
        else
67e4ed510dfb register coinductive type's coinduct rule
blanchet
parents: 51777
diff changeset
  1154
          map3 (fn fp_b_name => fn Type (T_name, _) => fn thms =>
52311
e2f6ac15d79a tuned signature
blanchet
parents: 52310
diff changeset
  1155
              ((qualify true fp_b_name (Binding.name thmN), attrs T_name), [(thms, [])]))
e2f6ac15d79a tuned signature
blanchet
parents: 52310
diff changeset
  1156
            fp_b_names fpTs thmss);
51780
67e4ed510dfb register coinductive type's coinduct rule
blanchet
parents: 51777
diff changeset
  1157
52310
28063e412793 support induction principles with multiple occurrences of the same type in "fpTs" and (hopefully) with loss of recursion (e.g. primrec definition of is_nil, where the IH can be dropped)
blanchet
parents: 52309
diff changeset
  1158
    val ctr_Tsss = map (map (map (Term.typ_subst_atomic (Xs ~~ fpTs)))) ctrXs_Tsss;
49203
262ab1ac38b9 repaired constant types
blanchet
parents: 49202
diff changeset
  1159
    val ns = map length ctr_Tsss;
49212
ca59649170b0 more sugar on codatatypes
blanchet
parents: 49211
diff changeset
  1160
    val kss = map (fn n => 1 upto n) ns;
49203
262ab1ac38b9 repaired constant types
blanchet
parents: 49202
diff changeset
  1161
    val mss = map (map length) ctr_Tsss;
262ab1ac38b9 repaired constant types
blanchet
parents: 49202
diff changeset
  1162
52367
blanchet
parents: 52357
diff changeset
  1163
    val ((xtor_co_iterss, iters_args_types, coiters_args_types), lthy') =
52334
blanchet
parents: 52330
diff changeset
  1164
      mk_co_iters_prelims fp fpTs Cs ns mss xtor_co_iterss0 lthy;
49210
656fb50d33f0 define coiterators
blanchet
parents: 49209
diff changeset
  1165
52968
2b430bbb5a1a define case constant from other 'free constructor' axioms
blanchet
parents: 52964
diff changeset
  1166
    fun define_ctrs_dtrs_for_type (((((((((((((((((((((((fp_bnf, fp_b), fpT), ctor), dtor),
52345
blanchet
parents: 52344
diff changeset
  1167
            xtor_co_iters), ctor_dtor), dtor_ctor), ctor_inject), pre_map_def), pre_set_defs),
blanchet
parents: 52344
diff changeset
  1168
          pre_rel_def), fp_map_thm), fp_set_thms), fp_rel_thm), n), ks), ms), ctr_bindings),
blanchet
parents: 52344
diff changeset
  1169
        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
  1170
      let
49498
acc583e14167 tuned variable names
blanchet
parents: 49484
diff changeset
  1171
        val fp_b_name = Binding.name_of fp_b;
acc583e14167 tuned variable names
blanchet
parents: 49484
diff changeset
  1172
49501
acc9635a644a renamed "fld"/"unf" to "ctor"/"dtor"
blanchet
parents: 49498
diff changeset
  1173
        val dtorT = domain_type (fastype_of ctor);
49210
656fb50d33f0 define coiterators
blanchet
parents: 49209
diff changeset
  1174
        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
  1175
        val ctr_sum_prod_T = mk_sumTN_balanced ctr_prod_Ts;
49119
1f605c36869c more work on FP sugar
blanchet
parents: 49112
diff changeset
  1176
52968
2b430bbb5a1a define case constant from other 'free constructor' axioms
blanchet
parents: 52964
diff changeset
  1177
        val ((((w, xss), yss), u'), names_lthy) =
49204
0b735fb2602e generate iter/rec goals
blanchet
parents: 49203
diff changeset
  1178
          no_defs_lthy
49501
acc9635a644a renamed "fld"/"unf" to "ctor"/"dtor"
blanchet
parents: 49498
diff changeset
  1179
          |> yield_singleton (mk_Frees "w") dtorT
49370
be6e749fd003 fixed variable exporting problem
blanchet
parents: 49368
diff changeset
  1180
          ||>> mk_Freess "x" ctr_Tss
49585
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff change