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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     nesting_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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     mapss: thm 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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     disc_co_itersss: thm list list list,
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     sel_co_iterssss: thm list 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 mk_rel: 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 build_rel: 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 list list -> typ list -> typ list ->
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    int list -> 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 list 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 list list -> typ list -> int 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 -> thm list list -> BNF_Def.bnf 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 list * thm list 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_Comp
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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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   nesting_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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   mapss: thm 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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   disc_co_itersss: thm list list list,
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   sel_co_iterssss: thm list 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, nesting_bnfs, fp_res, ctr_defss,
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    ctr_sugars, co_iterss, mapss, co_inducts, co_iter_thmsss, disc_co_itersss, sel_co_iterssss} =
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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, nesting_bnfs = map (morph_bnf phi) nesting_bnfs,
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   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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   mapss = map (map (Morphism.thm phi)) mapss,
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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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   disc_co_itersss = map (map (map (Morphism.thm phi))) disc_co_itersss,
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   sel_co_iterssss = map (map (map (map (Morphism.thm phi)))) sel_co_iterssss};
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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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fun fp_sugar_of ctxt =
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  Symtab.lookup (Data.get (Context.Proof ctxt))
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  #> Option.map (morph_fp_sugar
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    (Morphism.thm_morphism (Thm.transfer (Proof_Context.theory_of ctxt))));
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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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(* TODO: register "sum" and "prod" as datatypes to enable N2M reduction for them *)
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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 nesting_bnfs (fp_res as {Ts, ...}) ctr_defss
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    ctr_sugars co_iterss mapss co_inducts co_iter_thmsss disc_co_itersss sel_co_iterssss 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, nesting_bnfs = nesting_bnfs, fp_res = fp_res,
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        ctr_defss = ctr_defss, ctr_sugars = ctr_sugars, co_iterss = co_iterss, mapss = mapss,
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        co_inducts = co_inducts, co_iter_thmsss = co_iter_thmsss, disc_co_itersss = disc_co_itersss,
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        sel_co_iterssss = sel_co_iterssss}
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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 (Type (@{type_name prod}, _)) T = [T]
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  | unzip_recT _ (T as Type (@{type_name prod}, Ts)) = Ts
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  | unzip_recT _ T = [T];
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fun unzip_corecT (Type (@{type_name sum}, _)) T = [T]
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  | unzip_corecT _ (T as Type (@{type_name sum}, Ts)) = Ts
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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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local
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fun build_map_or_rel mk const of_bnf dest 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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        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 live Ts Us (of_bnf bnf);
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              val TUs' = map dest (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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in
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val build_map = build_map_or_rel mk_map HOLogic.id_const map_of_bnf dest_funT;
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val build_rel = build_map_or_rel mk_rel HOLogic.eq_const rel_of_bnf dest_pred2T;
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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 ctr_Tsss 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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  #> map2 (map2 (map2 unzip_recT)) ctr_Tsss;
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fun mk_iters_args_types ctr_Tsss 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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diff changeset
   412
    val ((gss, ysss), lthy) =
blanchet
parents: 51831
diff changeset
   413
      lthy
blanchet
parents: 51831
diff changeset
   414
      |> mk_Freess "f" g_Tss
blanchet
parents: 51831
diff changeset
   415
      ||>> mk_Freesss "x" y_Tsss;
52301
7935e82a4ae4 simpler, more robust iterator goal construction code
blanchet
parents: 52300
diff changeset
   416
7935e82a4ae4 simpler, more robust iterator goal construction code
blanchet
parents: 52300
diff changeset
   417
    val y_Tssss = map (map (map single)) y_Tsss;
52214
4cc5a80bba80 generalized recursors, effectively reverting inductive half of c7a034d01936
blanchet
parents: 52213
diff changeset
   418
    val yssss = map (map (map single)) ysss;
4cc5a80bba80 generalized recursors, effectively reverting inductive half of c7a034d01936
blanchet
parents: 52213
diff changeset
   419
4cc5a80bba80 generalized recursors, effectively reverting inductive half of c7a034d01936
blanchet
parents: 52213
diff changeset
   420
    val z_Tssss =
53592
5a7bf8c859f6 made non-co case more robust as well (cf. b6e2993fd0d3)
blanchet
parents: 53591
diff changeset
   421
      map4 (fn n => fn ms => fn ctr_Tss => fn ctor_iter_fun_Ts =>
5a7bf8c859f6 made non-co case more robust as well (cf. b6e2993fd0d3)
blanchet
parents: 53591
diff changeset
   422
          map3 (fn m => fn ctr_Ts => fn ctor_iter_fun_T =>
5a7bf8c859f6 made non-co case more robust as well (cf. b6e2993fd0d3)
blanchet
parents: 53591
diff changeset
   423
              map2 unzip_recT ctr_Ts (dest_tupleT m ctor_iter_fun_T))
5a7bf8c859f6 made non-co case more robust as well (cf. b6e2993fd0d3)
blanchet
parents: 53591
diff changeset
   424
            ms ctr_Tss (dest_sumTN_balanced n (domain_type (co_rec_of ctor_iter_fun_Ts))))
5a7bf8c859f6 made non-co case more robust as well (cf. b6e2993fd0d3)
blanchet
parents: 53591
diff changeset
   425
        ns mss ctr_Tsss ctor_iter_fun_Tss;
51832
blanchet
parents: 51831
diff changeset
   426
52868
cca9e958da5c export ML function (for primcorec)
blanchet
parents: 52823
diff changeset
   427
    val z_Tsss' = map (map flat_rec_arg_args) z_Tssss;
52923
traytel
parents: 52899
diff changeset
   428
    val h_Tss = map2 (map2 (curry op --->)) z_Tsss' Css;
51832
blanchet
parents: 51831
diff changeset
   429
blanchet
parents: 51831
diff changeset
   430
    val hss = map2 (map2 retype_free) h_Tss gss;
52214
4cc5a80bba80 generalized recursors, effectively reverting inductive half of c7a034d01936
blanchet
parents: 52213
diff changeset
   431
    val zssss_hd = map2 (map2 (map2 (retype_free o hd))) z_Tssss ysss;
4cc5a80bba80 generalized recursors, effectively reverting inductive half of c7a034d01936
blanchet
parents: 52213
diff changeset
   432
    val (zssss_tl, lthy) =
4cc5a80bba80 generalized recursors, effectively reverting inductive half of c7a034d01936
blanchet
parents: 52213
diff changeset
   433
      lthy
4cc5a80bba80 generalized recursors, effectively reverting inductive half of c7a034d01936
blanchet
parents: 52213
diff changeset
   434
      |> mk_Freessss "y" (map (map (map tl)) z_Tssss);
4cc5a80bba80 generalized recursors, effectively reverting inductive half of c7a034d01936
blanchet
parents: 52213
diff changeset
   435
    val zssss = map2 (map2 (map2 cons)) zssss_hd zssss_tl;
51832
blanchet
parents: 51831
diff changeset
   436
  in
52315
fafab8eac3ee avoid duplicate call to "mk_fold_rec_args_types" function
blanchet
parents: 52314
diff changeset
   437
    ([(g_Tss, y_Tssss, gss, yssss), (h_Tss, z_Tssss, hss, zssss)], lthy)
51832
blanchet
parents: 51831
diff changeset
   438
  end;
blanchet
parents: 51831
diff changeset
   439
53591
b6e2993fd0d3 don't wrongly destroy sum types in coiterators
blanchet
parents: 53569
diff changeset
   440
fun mk_coiter_fun_arg_types0 ctr_Tsss Cs ns fun_Ts =
51829
3cc93eeac8cc signature tuning
blanchet
parents: 51828
diff changeset
   441
  let
53591
b6e2993fd0d3 don't wrongly destroy sum types in coiterators
blanchet
parents: 53569
diff changeset
   442
    (*avoid "'a itself" arguments in coiterators*)
b6e2993fd0d3 don't wrongly destroy sum types in coiterators
blanchet
parents: 53569
diff changeset
   443
    fun repair_arity [[]] = [[@{typ unit}]]
b6e2993fd0d3 don't wrongly destroy sum types in coiterators
blanchet
parents: 53569
diff changeset
   444
      | repair_arity Tss = Tss;
51829
3cc93eeac8cc signature tuning
blanchet
parents: 51828
diff changeset
   445
53591
b6e2993fd0d3 don't wrongly destroy sum types in coiterators
blanchet
parents: 53569
diff changeset
   446
    val ctr_Tsss' = map repair_arity ctr_Tsss;
52870
blanchet
parents: 52869
diff changeset
   447
    val f_sum_prod_Ts = map range_type fun_Ts;
blanchet
parents: 52869
diff changeset
   448
    val f_prod_Tss = map2 dest_sumTN_balanced ns f_sum_prod_Ts;
53591
b6e2993fd0d3 don't wrongly destroy sum types in coiterators
blanchet
parents: 53569
diff changeset
   449
    val f_Tsss = map2 (map2 (dest_tupleT o length)) ctr_Tsss' f_prod_Tss;
b6e2993fd0d3 don't wrongly destroy sum types in coiterators
blanchet
parents: 53569
diff changeset
   450
    val f_Tssss = map3 (fn C => map2 (map2 (map (curry op --> C) oo unzip_corecT)))
b6e2993fd0d3 don't wrongly destroy sum types in coiterators
blanchet
parents: 53569
diff changeset
   451
      Cs ctr_Tsss' f_Tsss;
52871
blanchet
parents: 52870
diff changeset
   452
    val q_Tssss = map (map (map (fn [_] => [] | [_, T] => [mk_pred1T (domain_type T)]))) f_Tssss;
52870
blanchet
parents: 52869
diff changeset
   453
  in
blanchet
parents: 52869
diff changeset
   454
    (q_Tssss, f_Tsss, f_Tssss, f_sum_prod_Ts)
blanchet
parents: 52869
diff changeset
   455
  end;
51829
3cc93eeac8cc signature tuning
blanchet
parents: 51828
diff changeset
   456
52898
2af1caada147 enrich exported ML function's signature
blanchet
parents: 52872
diff changeset
   457
fun mk_coiter_p_pred_types Cs ns = map2 (fn n => replicate (Int.max (0, n - 1)) o mk_pred1T) ns Cs;
2af1caada147 enrich exported ML function's signature
blanchet
parents: 52872
diff changeset
   458
53591
b6e2993fd0d3 don't wrongly destroy sum types in coiterators
blanchet
parents: 53569
diff changeset
   459
fun mk_coiter_fun_arg_types ctr_Tsss Cs ns dtor_coiter =
52898
2af1caada147 enrich exported ML function's signature
blanchet
parents: 52872
diff changeset
   460
  (mk_coiter_p_pred_types Cs ns,
53591
b6e2993fd0d3 don't wrongly destroy sum types in coiterators
blanchet
parents: 53569
diff changeset
   461
   mk_fp_iter_fun_types dtor_coiter |> mk_coiter_fun_arg_types0 ctr_Tsss Cs ns);
52872
blanchet
parents: 52871
diff changeset
   462
53591
b6e2993fd0d3 don't wrongly destroy sum types in coiterators
blanchet
parents: 53569
diff changeset
   463
fun mk_coiters_args_types ctr_Tsss Cs ns mss dtor_coiter_fun_Tss lthy =
52870
blanchet
parents: 52869
diff changeset
   464
  let
52898
2af1caada147 enrich exported ML function's signature
blanchet
parents: 52872
diff changeset
   465
    val p_Tss = mk_coiter_p_pred_types Cs ns;
51829
3cc93eeac8cc signature tuning
blanchet
parents: 51828
diff changeset
   466
52871
blanchet
parents: 52870
diff changeset
   467
    fun mk_types get_Ts =
51829
3cc93eeac8cc signature tuning
blanchet
parents: 51828
diff changeset
   468
      let
52335
blanchet
parents: 52334
diff changeset
   469
        val fun_Ts = map get_Ts dtor_coiter_fun_Tss;
53591
b6e2993fd0d3 don't wrongly destroy sum types in coiterators
blanchet
parents: 53569
diff changeset
   470
        val (q_Tssss, f_Tsss, f_Tssss, f_sum_prod_Ts) = mk_coiter_fun_arg_types0 ctr_Tsss Cs ns fun_Ts;
52868
cca9e958da5c export ML function (for primcorec)
blanchet
parents: 52823
diff changeset
   471
        val pf_Tss = map3 flat_corec_preds_predsss_gettersss p_Tss q_Tssss f_Tssss;
52870
blanchet
parents: 52869
diff changeset
   472
      in
blanchet
parents: 52869
diff changeset
   473
        (q_Tssss, f_Tsss, f_Tssss, (f_sum_prod_Ts, pf_Tss))
blanchet
parents: 52869
diff changeset
   474
      end;
51829
3cc93eeac8cc signature tuning
blanchet
parents: 51828
diff changeset
   475
52871
blanchet
parents: 52870
diff changeset
   476
    val (r_Tssss, g_Tsss, g_Tssss, unfold_types) = mk_types un_fold_of;
blanchet
parents: 52870
diff changeset
   477
    val (s_Tssss, h_Tsss, h_Tssss, corec_types) = mk_types co_rec_of;
51831
blanchet
parents: 51830
diff changeset
   478
52347
ead18e3b2c1b changed back type of corecursor for nested case, effectively reverting aa66ea552357 and 78a3d5006cf1
blanchet
parents: 52346
diff changeset
   479
    val ((((Free (z, _), cs), pss), gssss), lthy) =
51829
3cc93eeac8cc signature tuning
blanchet
parents: 51828
diff changeset
   480
      lthy
52347
ead18e3b2c1b changed back type of corecursor for nested case, effectively reverting aa66ea552357 and 78a3d5006cf1
blanchet
parents: 52346
diff changeset
   481
      |> 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
   482
      ||>> mk_Frees "a" Cs
51829
3cc93eeac8cc signature tuning
blanchet
parents: 51828
diff changeset
   483
      ||>> mk_Freess "p" p_Tss
3cc93eeac8cc signature tuning
blanchet
parents: 51828
diff changeset
   484
      ||>> mk_Freessss "g" g_Tssss;
3cc93eeac8cc signature tuning
blanchet
parents: 51828
diff changeset
   485
    val rssss = map (map (map (fn [] => []))) r_Tssss;
3cc93eeac8cc signature tuning
blanchet
parents: 51828
diff changeset
   486
3cc93eeac8cc signature tuning
blanchet
parents: 51828
diff changeset
   487
    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
   488
    val ((sssss, hssss_tl), lthy) =
3cc93eeac8cc signature tuning
blanchet
parents: 51828
diff changeset
   489
      lthy
3cc93eeac8cc signature tuning
blanchet
parents: 51828
diff changeset
   490
      |> mk_Freessss "q" s_Tssss
3cc93eeac8cc signature tuning
blanchet
parents: 51828
diff changeset
   491
      ||>> mk_Freessss "h" (map (map (map tl)) h_Tssss);
3cc93eeac8cc signature tuning
blanchet
parents: 51828
diff changeset
   492
    val hssss = map2 (map2 (map2 cons)) hssss_hd hssss_tl;
51831
blanchet
parents: 51830
diff changeset
   493
blanchet
parents: 51830
diff changeset
   494
    val cpss = map2 (map o rapp) cs pss;
51829
3cc93eeac8cc signature tuning
blanchet
parents: 51828
diff changeset
   495
52347
ead18e3b2c1b changed back type of corecursor for nested case, effectively reverting aa66ea552357 and 78a3d5006cf1
blanchet
parents: 52346
diff changeset
   496
    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
   497
ead18e3b2c1b changed back type of corecursor for nested case, effectively reverting aa66ea552357 and 78a3d5006cf1
blanchet
parents: 52346
diff changeset
   498
    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
   499
      | 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
   500
        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
   501
          (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
   502
52349
07fd21c01e93 code simplifications (cf. 78a3d5006cf1)
blanchet
parents: 52348
diff changeset
   503
    fun mk_args qssss fssss f_Tsss =
51831
blanchet
parents: 51830
diff changeset
   504
      let
52868
cca9e958da5c export ML function (for primcorec)
blanchet
parents: 52823
diff changeset
   505
        val pfss = map3 flat_corec_preds_predsss_gettersss pss qssss fssss;
51831
blanchet
parents: 51830
diff changeset
   506
        val cqssss = map2 (map o map o map o rapp) cs qssss;
blanchet
parents: 51830
diff changeset
   507
        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
   508
        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
   509
      in (pfss, cqfsss) end;
51831
blanchet
parents: 51830
diff changeset
   510
52349
07fd21c01e93 code simplifications (cf. 78a3d5006cf1)
blanchet
parents: 52348
diff changeset
   511
    val unfold_args = mk_args rssss gssss g_Tsss;
07fd21c01e93 code simplifications (cf. 78a3d5006cf1)
blanchet
parents: 52348
diff changeset
   512
    val corec_args = mk_args sssss hssss h_Tsss;
51831
blanchet
parents: 51830
diff changeset
   513
  in
52347
ead18e3b2c1b changed back type of corecursor for nested case, effectively reverting aa66ea552357 and 78a3d5006cf1
blanchet
parents: 52346
diff changeset
   514
    ((z, cs, cpss, [(unfold_args, unfold_types), (corec_args, corec_types)]), lthy)
51831
blanchet
parents: 51830
diff changeset
   515
  end;
51829
3cc93eeac8cc signature tuning
blanchet
parents: 51828
diff changeset
   516
53591
b6e2993fd0d3 don't wrongly destroy sum types in coiterators
blanchet
parents: 53569
diff changeset
   517
fun mk_co_iters_prelims fp ctr_Tsss fpTs Cs ns mss xtor_co_iterss0 lthy =
51903
126f8d11f873 move function to library
blanchet
parents: 51902
diff changeset
   518
  let
52169
blanchet
parents: 51912
diff changeset
   519
    val thy = Proof_Context.theory_of lthy;
blanchet
parents: 51912
diff changeset
   520
52335
blanchet
parents: 52334
diff changeset
   521
    val (xtor_co_iter_fun_Tss, xtor_co_iterss) =
52329
blanchet
parents: 52328
diff changeset
   522
      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
   523
      |> apsnd transpose o apfst transpose o split_list;
51903
126f8d11f873 move function to library
blanchet
parents: 51902
diff changeset
   524
52329
blanchet
parents: 52328
diff changeset
   525
    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
   526
      if fp = Least_FP then
53592
5a7bf8c859f6 made non-co case more robust as well (cf. b6e2993fd0d3)
blanchet
parents: 53591
diff changeset
   527
        mk_iters_args_types ctr_Tsss Cs ns mss xtor_co_iter_fun_Tss lthy |>> (rpair NONE o SOME)
51903
126f8d11f873 move function to library
blanchet
parents: 51902
diff changeset
   528
      else
53591
b6e2993fd0d3 don't wrongly destroy sum types in coiterators
blanchet
parents: 53569
diff changeset
   529
        mk_coiters_args_types ctr_Tsss Cs ns mss xtor_co_iter_fun_Tss lthy |>> (pair NONE o SOME)
51903
126f8d11f873 move function to library
blanchet
parents: 51902
diff changeset
   530
  in
52335
blanchet
parents: 52334
diff changeset
   531
    ((xtor_co_iterss, iters_args_types, coiters_args_types), lthy')
51903
126f8d11f873 move function to library
blanchet
parents: 51902
diff changeset
   532
  end;
126f8d11f873 move function to library
blanchet
parents: 51902
diff changeset
   533
52298
608afd26a476 killed dead code
blanchet
parents: 52297
diff changeset
   534
fun mk_iter_body ctor_iter fss xssss =
608afd26a476 killed dead code
blanchet
parents: 52297
diff changeset
   535
  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
   536
51900
blanchet
parents: 51899
diff changeset
   537
fun mk_preds_getterss_join c cps sum_prod_T cqfss =
blanchet
parents: 51899
diff changeset
   538
  let val n = length cqfss in
blanchet
parents: 51899
diff changeset
   539
    Term.lambda c (mk_IfN sum_prod_T cps
blanchet
parents: 51899
diff changeset
   540
      (map2 (mk_InN_balanced sum_prod_T n) (map HOLogic.mk_tuple cqfss) (1 upto n)))
blanchet
parents: 51899
diff changeset
   541
  end;
51886
e7fac4a483b5 started factoring out coiter construction
blanchet
parents: 51885
diff changeset
   542
52348
740923a6e530 killed dead code
blanchet
parents: 52347
diff changeset
   543
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
   544
  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
   545
52327
blanchet
parents: 52326
diff changeset
   546
fun define_co_iters fp fpT Cs binding_specs lthy0 =
51897
9a27c870ee21 refactoring
blanchet
parents: 51896
diff changeset
   547
  let
52170
564be617ae84 generalized "mk_co_iter" to handle mutualized (co)iterators
blanchet
parents: 52169
diff changeset
   548
    val thy = Proof_Context.theory_of lthy0;
564be617ae84 generalized "mk_co_iter" to handle mutualized (co)iterators
blanchet
parents: 52169
diff changeset
   549
53569
b4db0ade27bd conceal definitions of high-level constructors and (co)iterators
traytel
parents: 53553
diff changeset
   550
    val maybe_conceal_def_binding = Thm.def_binding
b4db0ade27bd conceal definitions of high-level constructors and (co)iterators
traytel
parents: 53553
diff changeset
   551
      #> Config.get lthy0 bnf_note_all = false ? Binding.conceal;
b4db0ade27bd conceal definitions of high-level constructors and (co)iterators
traytel
parents: 53553
diff changeset
   552
52327
blanchet
parents: 52326
diff changeset
   553
    val ((csts, defs), (lthy', lthy)) = lthy0
blanchet
parents: 52326
diff changeset
   554
      |> apfst split_list o fold_map (fn (b, spec) =>
53569
b4db0ade27bd conceal definitions of high-level constructors and (co)iterators
traytel
parents: 53553
diff changeset
   555
        Specification.definition (SOME (b, NONE, NoSyn), ((maybe_conceal_def_binding b, []), spec))
52327
blanchet
parents: 52326
diff changeset
   556
        #>> apsnd snd) binding_specs
blanchet
parents: 52326
diff changeset
   557
      ||> `Local_Theory.restore;
blanchet
parents: 52326
diff changeset
   558
blanchet
parents: 52326
diff changeset
   559
    val phi = Proof_Context.export_morphism lthy lthy';
blanchet
parents: 52326
diff changeset
   560
blanchet
parents: 52326
diff changeset
   561
    val csts' = map (mk_co_iter thy fp fpT Cs o Morphism.term phi) csts;
blanchet
parents: 52326
diff changeset
   562
    val defs' = map (Morphism.thm phi) defs;
blanchet
parents: 52326
diff changeset
   563
  in
blanchet
parents: 52326
diff changeset
   564
    ((csts', defs'), lthy')
blanchet
parents: 52326
diff changeset
   565
  end;
blanchet
parents: 52326
diff changeset
   566
blanchet
parents: 52326
diff changeset
   567
fun define_iters iterNs iter_args_typess' mk_binding fpTs Cs ctor_iters lthy =
blanchet
parents: 52326
diff changeset
   568
  let
51899
c2c23ac31973 code tuning
blanchet
parents: 51897
diff changeset
   569
    val nn = length fpTs;
c2c23ac31973 code tuning
blanchet
parents: 51897
diff changeset
   570
52320
blanchet
parents: 52319
diff changeset
   571
    val fpT_to_C as Type (_, [fpT, _]) = snd (strip_typeN nn (fastype_of (hd ctor_iters)));
51897
9a27c870ee21 refactoring
blanchet
parents: 51896
diff changeset
   572
52320
blanchet
parents: 52319
diff changeset
   573
    fun generate_iter suf (f_Tss, _, fss, xssss) ctor_iter =
51897
9a27c870ee21 refactoring
blanchet
parents: 51896
diff changeset
   574
      let
52923
traytel
parents: 52899
diff changeset
   575
        val res_T = fold_rev (curry op --->) f_Tss fpT_to_C;
52309
f71d0a604e5a tuned ML variable names
blanchet
parents: 52306
diff changeset
   576
        val b = mk_binding suf;
51897
9a27c870ee21 refactoring
blanchet
parents: 51896
diff changeset
   577
        val spec =
52309
f71d0a604e5a tuned ML variable names
blanchet
parents: 52306
diff changeset
   578
          mk_Trueprop_eq (lists_bmoc fss (Free (Binding.name_of b, res_T)),
52298
608afd26a476 killed dead code
blanchet
parents: 52297
diff changeset
   579
            mk_iter_body ctor_iter fss xssss);
52309
f71d0a604e5a tuned ML variable names
blanchet
parents: 52306
diff changeset
   580
      in (b, spec) end;
51897
9a27c870ee21 refactoring
blanchet
parents: 51896
diff changeset
   581
  in
52327
blanchet
parents: 52326
diff changeset
   582
    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
   583
  end;
9a27c870ee21 refactoring
blanchet
parents: 51896
diff changeset
   584
52347
ead18e3b2c1b changed back type of corecursor for nested case, effectively reverting aa66ea552357 and 78a3d5006cf1
blanchet
parents: 52346
diff changeset
   585
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
   586
    lthy =
51897
9a27c870ee21 refactoring
blanchet
parents: 51896
diff changeset
   587
  let
51899
c2c23ac31973 code tuning
blanchet
parents: 51897
diff changeset
   588
    val nn = length fpTs;
c2c23ac31973 code tuning
blanchet
parents: 51897
diff changeset
   589
52326
blanchet
parents: 52321
diff changeset
   590
    val C_to_fpT as Type (_, [_, fpT]) = snd (strip_typeN nn (fastype_of (hd dtor_coiters)));
51897
9a27c870ee21 refactoring
blanchet
parents: 51896
diff changeset
   591
52349
07fd21c01e93 code simplifications (cf. 78a3d5006cf1)
blanchet
parents: 52348
diff changeset
   592
    fun generate_coiter suf ((pfss, cqfsss), (f_sum_prod_Ts, pf_Tss)) dtor_coiter =
51897
9a27c870ee21 refactoring
blanchet
parents: 51896
diff changeset
   593
      let
52923
traytel
parents: 52899
diff changeset
   594
        val res_T = fold_rev (curry op --->) pf_Tss C_to_fpT;
52309
f71d0a604e5a tuned ML variable names
blanchet
parents: 52306
diff changeset
   595
        val b = mk_binding suf;
51897
9a27c870ee21 refactoring
blanchet
parents: 51896
diff changeset
   596
        val spec =
52309
f71d0a604e5a tuned ML variable names
blanchet
parents: 52306
diff changeset
   597
          mk_Trueprop_eq (lists_bmoc pfss (Free (Binding.name_of b, res_T)),
52348
740923a6e530 killed dead code
blanchet
parents: 52347
diff changeset
   598
            mk_coiter_body cs cpss f_sum_prod_Ts cqfsss dtor_coiter);
52309
f71d0a604e5a tuned ML variable names
blanchet
parents: 52306
diff changeset
   599
      in (b, spec) end;
51897
9a27c870ee21 refactoring
blanchet
parents: 51896
diff changeset
   600
  in
52327
blanchet
parents: 52326
diff changeset
   601
    define_co_iters Greatest_FP fpT Cs
blanchet
parents: 52326
diff changeset
   602
      (map3 generate_coiter coiterNs coiter_args_typess' dtor_coiters) lthy
52320
blanchet
parents: 52319
diff changeset
   603
  end;
51897
9a27c870ee21 refactoring
blanchet
parents: 51896
diff changeset
   604
53106
d81211f61a1b moved derivation of strong coinduction to sugar
traytel
parents: 53037
diff changeset
   605
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
   606
    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
   607
    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
   608
  let
52340
blanchet
parents: 52339
diff changeset
   609
    val iterss' = transpose iterss;
blanchet
parents: 52339
diff changeset
   610
    val iter_defss' = transpose iter_defss;
blanchet
parents: 52339
diff changeset
   611
blanchet
parents: 52339
diff changeset
   612
    val [folds, recs] = iterss';
blanchet
parents: 52339
diff changeset
   613
    val [fold_defs, rec_defs] = iter_defss';
blanchet
parents: 52339
diff changeset
   614
51827
836257faaad5 tuned signature
blanchet
parents: 51824
diff changeset
   615
    val ctr_Tsss = map (map (binder_types o fastype_of)) ctrss;
836257faaad5 tuned signature
blanchet
parents: 51824
diff changeset
   616
51815
efacb9b99865 tune signatures
blanchet
parents: 51814
diff changeset
   617
    val nn = length pre_bnfs;
51827
836257faaad5 tuned signature
blanchet
parents: 51824
diff changeset
   618
    val ns = map length ctr_Tsss;
836257faaad5 tuned signature
blanchet
parents: 51824
diff changeset
   619
    val mss = map (map length) ctr_Tsss;
51815
efacb9b99865 tune signatures
blanchet
parents: 51814
diff changeset
   620
51808
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   621
    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
   622
    val pre_set_defss = map set_defs_of_bnf pre_bnfs;
53329
c31c0c311cf0 more canonical naming
blanchet
parents: 53290
diff changeset
   623
    val nesting_map_idents = map (unfold_thms lthy [id_def] o map_id0_of_bnf) nesting_bnfs;
c31c0c311cf0 more canonical naming
blanchet
parents: 53290
diff changeset
   624
    val nested_map_idents = map (unfold_thms lthy [id_def] o map_id0_of_bnf) nested_bnfs;
53290
b6c3be868217 renamed BNF fact
blanchet
parents: 53285
diff changeset
   625
    val nested_set_maps = 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
   626
51816
5f1dec4297da use base names, not full names
blanchet
parents: 51815
diff changeset
   627
    val fp_b_names = map base_name_of_typ fpTs;
51811
1461426e2bf1 tuned function signatures
blanchet
parents: 51810
diff changeset
   628
51832
blanchet
parents: 51831
diff changeset
   629
    val ((((ps, ps'), xsss), us'), names_lthy) =
52315
fafab8eac3ee avoid duplicate call to "mk_fold_rec_args_types" function
blanchet
parents: 52314
diff changeset
   630
      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
   631
      |> mk_Frees' "P" (map mk_pred1T fpTs)
51827
836257faaad5 tuned signature
blanchet
parents: 51824
diff changeset
   632
      ||>> mk_Freesss "x" ctr_Tsss
51816
5f1dec4297da use base names, not full names
blanchet
parents: 51815
diff changeset
   633
      ||>> 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
   634
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   635
    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
   636
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   637
    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
   638
      let
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   639
        val 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
   640
        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
   641
        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
   642
        fun mk_set U =
52923
traytel
parents: 52899
diff changeset
   643
          (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
   644
            ~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
   645
          | 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
   646
      in
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   647
        (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
   648
      end;
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   649
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 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
   651
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   652
    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
   653
      let
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_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
   655
          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
   656
            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
   657
          end;
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   658
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
   659
        fun mk_raw_prem_prems _ (x as Free (_, Type _)) (X as TFree _) =
52923
traytel
parents: 52899
diff changeset
   660
            [([], (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
   661
          | 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
   662
            (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
   663
              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
   664
            | 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
   665
              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
   666
                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
   667
                  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
   668
                  |> 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
   669
                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
   670
                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
   671
                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
   672
                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
   673
              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
   674
                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
   675
              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
   676
          | 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
   677
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   678
        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
   679
          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
   680
            (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
   681
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   682
        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
   683
          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
   684
              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
   685
            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
   686
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
   687
        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
   688
          let
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   689
            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
   690
            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
   691
          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
   692
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   693
        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
   694
          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
   695
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
   696
        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
   697
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   698
        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
   699
          Library.foldr (Logic.list_implies o apfst (map mk_prem)) (raw_premss,
52923
traytel
parents: 52899
diff changeset
   700
            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
   701
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   702
        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
   703
51814
blanchet
parents: 51813
diff changeset
   704
        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
   705
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   706
        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
   707
          Goal.prove_sorry lthy [] [] goal (fn {context = ctxt, ...} =>
53290
b6c3be868217 renamed BNF fact
blanchet
parents: 53285
diff changeset
   708
            mk_induct_tac ctxt nn ns mss kksss (flat ctr_defss) ctor_induct' nested_set_maps
51808
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   709
              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
   710
          |> 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
   711
          |> 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
   712
      in
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   713
        `(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
   714
      end;
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   715
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   716
    val induct_cases = quasi_unambiguous_case_names (maps (map name_of_ctr) ctrss);
52305
3f7b92017d71 avoid code duplication
blanchet
parents: 52304
diff changeset
   717
    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
   718
52305
3f7b92017d71 avoid code duplication
blanchet
parents: 52304
diff changeset
   719
    val xctrss = map2 (map2 (curry Term.list_comb)) ctrss xsss;
3f7b92017d71 avoid code duplication
blanchet
parents: 52304
diff changeset
   720
52306
blanchet
parents: 52305
diff changeset
   721
    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
   722
      let
52305
3f7b92017d71 avoid code duplication
blanchet
parents: 52304
diff changeset
   723
        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
   724
51843
899663644482 rationalized terminology (iterator = fold or rec, xxfoo = (co)foo or (un)foo)
blanchet
parents: 51842
diff changeset
   725
        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
   726
          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
   727
            (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
   728
52302
blanchet
parents: 52301
diff changeset
   729
        fun maybe_tick (T, U) u f =
blanchet
parents: 52301
diff changeset
   730
          if try (fst o HOLogic.dest_prodT) U = SOME T then
blanchet
parents: 52301
diff changeset
   731
            Term.lambda u (HOLogic.mk_prod (u, f $ u))
blanchet
parents: 52301
diff changeset
   732
          else
blanchet
parents: 52301
diff changeset
   733
            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
   734
52368
blanchet
parents: 52367
diff changeset
   735
        fun build_iter (x as Free (_, T)) U =
blanchet
parents: 52367
diff changeset
   736
          if T = U then
blanchet
parents: 52367
diff changeset
   737
            x
blanchet
parents: 52367
diff changeset
   738
          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
   739
            build_map lthy (indexify (perhaps (try (snd o HOLogic.dest_prodT)) o snd) Cs
52368
blanchet
parents: 52367
diff changeset
   740
              (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
   741
52868
cca9e958da5c export ML function (for primcorec)
blanchet
parents: 52823
diff changeset
   742
        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
   743
52306
blanchet
parents: 52305
diff changeset
   744
        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
   745
52305
3f7b92017d71 avoid code duplication
blanchet
parents: 52304
diff changeset
   746
        val tacss =
53329
c31c0c311cf0 more canonical naming
blanchet
parents: 53290
diff changeset
   747
          map2 (map o mk_iter_tac pre_map_defs (nested_map_idents @ nesting_map_idents) iter_defs)
52305
3f7b92017d71 avoid code duplication
blanchet
parents: 52304
diff changeset
   748
            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
   749
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   750
        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
   751
          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
   752
          |> 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
   753
      in
52305
3f7b92017d71 avoid code duplication
blanchet
parents: 52304
diff changeset
   754
        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
   755
      end;
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   756
52340
blanchet
parents: 52339
diff changeset
   757
    val fold_thmss = mk_iter_thmss fold_args_types folds fold_defs (map un_fold_of ctor_iter_thmss);
blanchet
parents: 52339
diff changeset
   758
    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
   759
  in
52345
blanchet
parents: 52344
diff changeset
   760
    ((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
   761
     (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
   762
  end;
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   763
52347
ead18e3b2c1b changed back type of corecursor for nested case, effectively reverting aa66ea552357 and 78a3d5006cf1
blanchet
parents: 52346
diff changeset
   764
fun derive_coinduct_coiters_thms_for_types pre_bnfs (z, cs, cpss,
52869
blanchet
parents: 52868
diff changeset
   765
      coiters_args_types as [((pgss, crgsss), _), ((phss, cshsss), _)])
53210
7219c61796c0 simplify code (now that ctr_sugar uses the same type variables as fp_sugar)
blanchet
parents: 53203
diff changeset
   766
    dtor_coinduct dtor_injects dtor_ctors dtor_coiter_thmss nesting_bnfs fpTs Cs kss mss ns
53203
222ea6acbdd6 moved derivation of ctor_dtor_unfold to sugar (streamlines fp_result interface)
traytel
parents: 53143
diff changeset
   767
    ctr_defss ctr_sugars coiterss coiter_defss export_args lthy =
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   768
  let
53203
222ea6acbdd6 moved derivation of ctor_dtor_unfold to sugar (streamlines fp_result interface)
traytel
parents: 53143
diff changeset
   769
    fun mk_ctor_dtor_coiter_thm dtor_inject dtor_ctor coiter =
222ea6acbdd6 moved derivation of ctor_dtor_unfold to sugar (streamlines fp_result interface)
traytel
parents: 53143
diff changeset
   770
      iffD1 OF [dtor_inject, trans OF [coiter, dtor_ctor RS sym]];
222ea6acbdd6 moved derivation of ctor_dtor_unfold to sugar (streamlines fp_result interface)
traytel
parents: 53143
diff changeset
   771
222ea6acbdd6 moved derivation of ctor_dtor_unfold to sugar (streamlines fp_result interface)
traytel
parents: 53143
diff changeset
   772
    val ctor_dtor_coiter_thmss =
222ea6acbdd6 moved derivation of ctor_dtor_unfold to sugar (streamlines fp_result interface)
traytel
parents: 53143
diff changeset
   773
      map3 (map oo mk_ctor_dtor_coiter_thm) dtor_injects dtor_ctors dtor_coiter_thmss;
222ea6acbdd6 moved derivation of ctor_dtor_unfold to sugar (streamlines fp_result interface)
traytel
parents: 53143
diff changeset
   774
52339
blanchet
parents: 52338
diff changeset
   775
    val coiterss' = transpose coiterss;
blanchet
parents: 52338
diff changeset
   776
    val coiter_defss' = transpose coiter_defss;
blanchet
parents: 52338
diff changeset
   777
blanchet
parents: 52338
diff changeset
   778
    val [unfold_defs, corec_defs] = coiter_defss';
52338
blanchet
parents: 52337
diff changeset
   779
51815
efacb9b99865 tune signatures
blanchet
parents: 51814
diff changeset
   780
    val nn = length pre_bnfs;
efacb9b99865 tune signatures
blanchet
parents: 51814
diff changeset
   781
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   782
    val pre_map_defs = map map_def_of_bnf pre_bnfs;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   783
    val pre_rel_defs = map rel_def_of_bnf pre_bnfs;
53329
c31c0c311cf0 more canonical naming
blanchet
parents: 53290
diff changeset
   784
    val nesting_map_idents = map (unfold_thms lthy [id_def] o map_id0_of_bnf) nesting_bnfs;
51830
blanchet
parents: 51829
diff changeset
   785
    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
   786
51816
5f1dec4297da use base names, not full names
blanchet
parents: 51815
diff changeset
   787
    val fp_b_names = map base_name_of_typ fpTs;
51811
1461426e2bf1 tuned function signatures
blanchet
parents: 51810
diff changeset
   788
53210
7219c61796c0 simplify code (now that ctr_sugar uses the same type variables as fp_sugar)
blanchet
parents: 53203
diff changeset
   789
    val ctrss = map #ctrs ctr_sugars;
7219c61796c0 simplify code (now that ctr_sugar uses the same type variables as fp_sugar)
blanchet
parents: 53203
diff changeset
   790
    val discss = map #discs ctr_sugars;
7219c61796c0 simplify code (now that ctr_sugar uses the same type variables as fp_sugar)
blanchet
parents: 53203
diff changeset
   791
    val selsss = map #selss ctr_sugars;
51840
b304fb6c5ef5 renamed records
blanchet
parents: 51839
diff changeset
   792
    val exhausts = map #exhaust ctr_sugars;
b304fb6c5ef5 renamed records
blanchet
parents: 51839
diff changeset
   793
    val disc_thmsss = map #disc_thmss ctr_sugars;
b304fb6c5ef5 renamed records
blanchet
parents: 51839
diff changeset
   794
    val discIss = map #discIs ctr_sugars;
b304fb6c5ef5 renamed records
blanchet
parents: 51839
diff changeset
   795
    val sel_thmsss = map #sel_thmss ctr_sugars;
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   796
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   797
    val (((rs, us'), vs'), names_lthy) =
52341
blanchet
parents: 52340
diff changeset
   798
      lthy
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   799
      |> mk_Frees "R" (map (fn T => mk_pred2T T T) fpTs)
51816
5f1dec4297da use base names, not full names
blanchet
parents: 51815
diff changeset
   800
      ||>> Variable.variant_fixes fp_b_names
5f1dec4297da use base names, not full names
blanchet
parents: 51815
diff changeset
   801
      ||>> Variable.variant_fixes (map (suffix "'") fp_b_names);
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   802
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   803
    val us = map2 (curry Free) us' fpTs;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   804
    val udiscss = map2 (map o rapp) us discss;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   805
    val uselsss = map2 (map o map o rapp) us selsss;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   806
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   807
    val vs = map2 (curry Free) vs' fpTs;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   808
    val vdiscss = map2 (map o rapp) vs discss;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   809
    val vselsss = map2 (map o map o rapp) vs selsss;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   810
52345
blanchet
parents: 52344
diff changeset
   811
    val coinduct_thms_pairs =
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   812
      let
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   813
        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
   814
        val uv_eqs = map2 (curry HOLogic.mk_eq) us vs;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   815
        val strong_rs =
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   816
          map4 (fn u => fn v => fn uvr => fn uv_eq =>
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   817
            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
   818
52347
ead18e3b2c1b changed back type of corecursor for nested case, effectively reverting aa66ea552357 and 78a3d5006cf1
blanchet
parents: 52346
diff changeset
   819
        (* TODO: generalize (cf. "build_map") *)
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   820
        fun build_rel rs' T =
52923
traytel
parents: 52899
diff changeset
   821
          (case find_index (curry op = T) fpTs of
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   822
            ~1 =>
51856
blanchet
parents: 51855
diff changeset
   823
            if exists_subtype_in fpTs T then
blanchet
parents: 51855
diff changeset
   824
              let
blanchet
parents: 51855
diff changeset
   825
                val Type (s, Ts) = T
blanchet
parents: 51855
diff changeset
   826
                val bnf = the (bnf_of lthy s);
blanchet
parents: 51855
diff changeset
   827
                val live = live_of_bnf bnf;
blanchet
parents: 51855
diff changeset
   828
                val rel = mk_rel live Ts Ts (rel_of_bnf bnf);
blanchet
parents: 51855
diff changeset
   829
                val Ts' = map domain_type (fst (strip_typeN live (fastype_of rel)));
blanchet
parents: 51855
diff changeset
   830
              in Term.list_comb (rel, map (build_rel rs') Ts') end
blanchet
parents: 51855
diff changeset
   831
            else
blanchet
parents: 51855
diff changeset
   832
              HOLogic.eq_const T
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   833
          | kk => nth rs' kk);
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   834
51856
blanchet
parents: 51855
diff changeset
   835
        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
   836
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   837
        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
   838
          (if k = n then [] else [HOLogic.mk_eq (udisc, vdisc)]) @
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   839
          (if null usels then
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
           else
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   842
             [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
   843
                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
   844
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   845
        fun mk_prem_concl rs' n udiscs uselss vdiscs vselss =
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   846
          Library.foldr1 HOLogic.mk_conj
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   847
            (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
   848
          handle List.Empty => @{term True};
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   849
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   850
        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
   851
          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
   852
            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
   853
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   854
        val concl =
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   855
          HOLogic.mk_Trueprop (Library.foldr1 HOLogic.mk_conj
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   856
            (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
   857
               uvrs us vs));
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   858
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   859
        fun mk_goal rs' =
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   860
          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
   861
            concl);
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   862
52345
blanchet
parents: 52344
diff changeset
   863
        val goals = map mk_goal [rs, strong_rs];
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   864
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   865
        fun prove dtor_coinduct' goal =
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   866
          Goal.prove_sorry lthy [] [] goal (fn {context = ctxt, ...} =>
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   867
            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
   868
              exhausts ctr_defss disc_thmsss sel_thmsss)
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   869
          |> singleton (Proof_Context.export names_lthy lthy)
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   870
          |> Thm.close_derivation;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   871
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   872
        fun postproc nn thm =
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   873
          Thm.permute_prems 0 nn
51828
67c6d6136915 whitespace tuning
blanchet
parents: 51827
diff changeset
   874
            (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
   875
          |> Drule.zero_var_indexes
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   876
          |> `(conj_dests nn);
53106
d81211f61a1b moved derivation of strong coinduction to sugar
traytel
parents: 53037
diff changeset
   877
d81211f61a1b moved derivation of strong coinduction to sugar
traytel
parents: 53037
diff changeset
   878
        val rel_eqs = map rel_eq_of_bnf pre_bnfs;
d81211f61a1b moved derivation of strong coinduction to sugar
traytel
parents: 53037
diff changeset
   879
        val rel_monos = map rel_mono_of_bnf pre_bnfs;
d81211f61a1b moved derivation of strong coinduction to sugar
traytel
parents: 53037
diff changeset
   880
        val dtor_coinducts =
d81211f61a1b moved derivation of strong coinduction to sugar
traytel
parents: 53037
diff changeset
   881
          [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
   882
      in
52345
blanchet
parents: 52344
diff changeset
   883
        map2 (postproc nn oo prove) dtor_coinducts goals
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   884
      end;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   885
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   886
    fun mk_coinduct_concls ms discs ctrs =
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   887
      let
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   888
        fun mk_disc_concl disc = [name_of_disc disc];
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   889
        fun mk_ctr_concl 0 _ = []
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   890
          | mk_ctr_concl _ ctor = [name_of_ctr ctor];
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   891
        val disc_concls = map mk_disc_concl (fst (split_last discs)) @ [[]];
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   892
        val ctr_concls = map2 mk_ctr_concl ms ctrs;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   893
      in
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   894
        flat (map2 append disc_concls ctr_concls)
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   895
      end;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   896
51816
5f1dec4297da use base names, not full names
blanchet
parents: 51815
diff changeset
   897
    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
   898
    val coinduct_conclss =
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   899
      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
   900
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   901
    fun mk_maybe_not pos = not pos ? HOLogic.mk_not;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   902
52339
blanchet
parents: 52338
diff changeset
   903
    val fcoiterss' as [gunfolds, hcorecs] =
52869
blanchet
parents: 52868
diff changeset
   904
      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
   905
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   906
    val (unfold_thmss, corec_thmss, safe_unfold_thmss, safe_corec_thmss) =
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   907
      let
51843
899663644482 rationalized terminology (iterator = fold or rec, xxfoo = (co)foo or (un)foo)
blanchet
parents: 51842
diff changeset
   908
        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
   909
          fold_rev (fold_rev Logic.all) ([c] :: pfss)
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   910
            (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
   911
               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
   912
52347
ead18e3b2c1b changed back type of corecursor for nested case, effectively reverting aa66ea552357 and 78a3d5006cf1
blanchet
parents: 52346
diff changeset
   913
        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
   914
          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
   915
ead18e3b2c1b changed back type of corecursor for nested case, effectively reverting aa66ea552357 and 78a3d5006cf1
blanchet
parents: 52346
diff changeset
   916
        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
   917
          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
   918
            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
   919
          end;
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   920
52368
blanchet
parents: 52367
diff changeset
   921
        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
   922
          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
   923
            if exists_subtype_in Cs T then
52368
blanchet
parents: 52367
diff changeset
   924
              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
   925
                build_map lthy (indexify snd fpTs (fn kk => fn _ =>
52368
blanchet
parents: 52367
diff changeset
   926
                  maybe_tack (nth cs kk, nth us kk) (nth fcoiters kk))) (T, U) $ cqf
blanchet
parents: 52367
diff changeset
   927
              end
52347
ead18e3b2c1b changed back type of corecursor for nested case, effectively reverting aa66ea552357 and 78a3d5006cf1
blanchet
parents: 52346
diff changeset
   928
            else
ead18e3b2c1b changed back type of corecursor for nested case, effectively reverting aa66ea552357 and 78a3d5006cf1
blanchet
parents: 52346
diff changeset
   929
              cqf
ead18e3b2c1b changed back type of corecursor for nested case, effectively reverting aa66ea552357 and 78a3d5006cf1
blanchet
parents: 52346
diff changeset
   930
          end;
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   931
52368
blanchet
parents: 52367
diff changeset
   932
        val crgsss' = map (map (map (build_coiter (un_fold_of fcoiterss') (K I) (K I)))) crgsss;
blanchet
parents: 52367
diff changeset
   933
        val cshsss' = map (map (map (build_coiter (co_rec_of fcoiterss') (curry mk_sumT) (tack z))))
52351
blanchet
parents: 52349
diff changeset
   934
          cshsss;
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   935
52347
ead18e3b2c1b changed back type of corecursor for nested case, effectively reverting aa66ea552357 and 78a3d5006cf1
blanchet
parents: 52346
diff changeset
   936
        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
   937
        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
   938
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   939
        val unfold_tacss =
53329
c31c0c311cf0 more canonical naming
blanchet
parents: 53290
diff changeset
   940
          map3 (map oo mk_coiter_tac unfold_defs nesting_map_idents)
53203
222ea6acbdd6 moved derivation of ctor_dtor_unfold to sugar (streamlines fp_result interface)
traytel
parents: 53143
diff changeset
   941
            (map un_fold_of ctor_dtor_coiter_thmss) pre_map_defs ctr_defss;
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   942
        val corec_tacss =
53329
c31c0c311cf0 more canonical naming
blanchet
parents: 53290
diff changeset
   943
          map3 (map oo mk_coiter_tac corec_defs nesting_map_idents)
53203
222ea6acbdd6 moved derivation of ctor_dtor_unfold to sugar (streamlines fp_result interface)
traytel
parents: 53143
diff changeset
   944
            (map co_rec_of ctor_dtor_coiter_thmss) pre_map_defs ctr_defss;
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   945
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   946
        fun prove goal tac =
51815
efacb9b99865 tune signatures
blanchet
parents: 51814
diff changeset
   947
          Goal.prove_sorry lthy [] [] goal (tac o #context)
efacb9b99865 tune signatures
blanchet
parents: 51814
diff changeset
   948
          |> Thm.close_derivation;
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   949
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   950
        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
   951
        val corec_thmss =
ead18e3b2c1b changed back type of corecursor for nested case, effectively reverting aa66ea552357 and 78a3d5006cf1
blanchet
parents: 52346
diff changeset
   952
          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
   953
          |> 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
   954
52923
traytel
parents: 52899
diff changeset
   955
        val unfold_safesss = map2 (map2 (map2 (curry op =))) crgsss' crgsss;
traytel
parents: 52899
diff changeset
   956
        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
   957
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   958
        val filter_safesss =
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   959
          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
   960
            curry (op ~~));
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   961
52347
ead18e3b2c1b changed back type of corecursor for nested case, effectively reverting aa66ea552357 and 78a3d5006cf1
blanchet
parents: 52346
diff changeset
   962
        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
   963
        val safe_corec_thmss = filter_safesss corec_safesss corec_thmss;
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   964
      in
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   965
        (unfold_thmss, corec_thmss, safe_unfold_thmss, safe_corec_thmss)
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   966
      end;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   967
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   968
    val (disc_unfold_iff_thmss, disc_corec_iff_thmss) =
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   969
      let
51843
899663644482 rationalized terminology (iterator = fold or rec, xxfoo = (co)foo or (un)foo)
blanchet
parents: 51842
diff changeset
   970
        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
   971
          mk_Trueprop_eq (disc $ (fcoiter $ c),
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   972
            if n = 1 then @{const True}
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   973
            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
   974
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   975
        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
   976
        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
   977
51828
67c6d6136915 whitespace tuning
blanchet
parents: 51827
diff changeset
   978
        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
   979
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   980
        val case_splitss' = map (map mk_case_split') cpss;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   981
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   982
        val unfold_tacss =
51843
899663644482 rationalized terminology (iterator = fold or rec, xxfoo = (co)foo or (un)foo)
blanchet
parents: 51842
diff changeset
   983
          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
   984
        val corec_tacss =
51843
899663644482 rationalized terminology (iterator = fold or rec, xxfoo = (co)foo or (un)foo)
blanchet
parents: 51842
diff changeset
   985
          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
   986
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   987
        fun prove goal tac =
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   988
          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
   989
          |> singleton export_args
51829
3cc93eeac8cc signature tuning
blanchet
parents: 51828
diff changeset
   990
          |> singleton (Proof_Context.export names_lthy lthy)
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   991
          |> Thm.close_derivation;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   992
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   993
        fun proves [_] [_] = []
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   994
          | proves goals tacs = map2 prove goals tacs;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   995
      in
51828
67c6d6136915 whitespace tuning
blanchet
parents: 51827
diff changeset
   996
        (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
   997
      end;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   998
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   999
    val is_triv_discI = is_triv_implies orf is_concl_refl;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
  1000
51843
899663644482 rationalized terminology (iterator = fold or rec, xxfoo = (co)foo or (un)foo)
blanchet
parents: 51842
diff changeset
  1001
    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
  1002
      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
  1003
51843
899663644482 rationalized terminology (iterator = fold or rec, xxfoo = (co)foo or (un)foo)
blanchet
parents: 51842
diff changeset
  1004
    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
  1005
    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
  1006
51843
899663644482 rationalized terminology (iterator = fold or rec, xxfoo = (co)foo or (un)foo)
blanchet
parents: 51842
diff changeset
  1007
    fun mk_sel_coiter_thm coiter_thm sel sel_thm =
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
  1008
      let
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
  1009
        val (domT, ranT) = dest_funT (fastype_of sel);
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
  1010
        val arg_cong' =
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
  1011
          Drule.instantiate' (map (SOME o certifyT lthy) [domT, ranT])
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
  1012
            [NONE, NONE, SOME (certify lthy sel)] arg_cong
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
  1013
          |> Thm.varifyT_global;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
  1014
        val sel_thm' = sel_thm RSN (2, trans);
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
  1015
      in
51843
899663644482 rationalized terminology (iterator = fold or rec, xxfoo = (co)foo or (un)foo)
blanchet
parents: 51842
diff changeset
  1016
        coiter_thm RS arg_cong' RS sel_thm'
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
  1017
      end;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
  1018
52321
blanchet
parents: 52320
diff changeset
  1019
    fun mk_sel_coiter_thms coiter_thmss =
53475
185ad6cf6576 enriched data structure with necessary theorems
blanchet
parents: 53329
diff changeset
  1020
      map3 (map3 (map2 o mk_sel_coiter_thm)) coiter_thmss selsss sel_thmsss;
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
  1021
53475
185ad6cf6576 enriched data structure with necessary theorems
blanchet
parents: 53329
diff changeset
  1022
    val sel_unfold_thmsss = mk_sel_coiter_thms unfold_thmss;
185ad6cf6576 enriched data structure with necessary theorems
blanchet
parents: 53329
diff changeset
  1023
    val sel_corec_thmsss = mk_sel_coiter_thms corec_thmss;
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
  1024
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
  1025
    val coinduct_consumes_attr = Attrib.internal (K (Rule_Cases.consumes nn));
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
  1026
    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
  1027
    val coinduct_case_concl_attrs =
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
  1028
      map2 (fn casex => fn concls =>
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
  1029
          Attrib.internal (K (Rule_Cases.case_conclusion (casex, concls))))
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
  1030
        coinduct_cases coinduct_conclss;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
  1031
    val coinduct_case_attrs =
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
  1032
      coinduct_consumes_attr :: coinduct_case_names_attr :: coinduct_case_concl_attrs;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
  1033
  in
52345
blanchet
parents: 52344
diff changeset
  1034
    ((coinduct_thms_pairs, coinduct_case_attrs),
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
  1035
     (unfold_thmss, corec_thmss, []),
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
  1036
     (safe_unfold_thmss, safe_corec_thmss),
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
  1037
     (disc_unfold_thmss, disc_corec_thmss, simp_attrs),
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
  1038
     (disc_unfold_iff_thmss, disc_corec_iff_thmss, simp_attrs),
53475
185ad6cf6576 enriched data structure with necessary theorems
blanchet
parents: 53329
diff changeset
  1039
     (sel_unfold_thmsss, sel_corec_thmsss, simp_attrs))
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
  1040
  end;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
  1041
52207
21026c312cc3 tuning -- avoided unreadable true/false all over the place for LFP/GFP
blanchet
parents: 52197
diff changeset
  1042
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
  1043
    (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
  1044
  let
49298
36e551d3af3b support for sort constraints in new (co)data commands
blanchet
parents: 49297
diff changeset
  1045
    (* TODO: sanity checks on arguments *)
36e551d3af3b support for sort constraints in new (co)data commands
blanchet
parents: 49297
diff changeset
  1046
52969
f2df0730f8ac clarified option name (since case/fold/rec are also destructors)
blanchet
parents: 52968
diff changeset
  1047
    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
  1048
        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
  1049
      else
21026c312cc3 tuning -- avoided unreadable true/false all over the place for LFP/GFP
blanchet
parents: 52197
diff changeset
  1050
        ();
49278
718e4ad1517e added no_dests option
blanchet
parents: 49277
diff changeset
  1051
49633
5b5450bc544c compatibility option to use "rep_datatype"
blanchet
parents: 49622
diff changeset
  1052
    fun qualify mandatory fp_b_name =
5b5450bc544c compatibility option to use "rep_datatype"
blanchet
parents: 49622
diff changeset
  1053
      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
  1054
49367
blanchet
parents: 49366
diff changeset
  1055
    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
  1056
    val fp_bs = map type_binding_of specs;
49498
acc583e14167 tuned variable names
blanchet
parents: 49484
diff changeset
  1057
    val fp_b_names = map Binding.name_of fp_bs;
acc583e14167 tuned variable names
blanchet
parents: 49484
diff changeset
  1058
    val fp_common_name = mk_common_name fp_b_names;
53264
1973b821168c qualify generated constants uniformly
blanchet
parents: 53262
diff changeset
  1059
    val map_bs = map map_binding_of specs;
1973b821168c qualify generated constants uniformly
blanchet
parents: 53262
diff changeset
  1060
    val rel_bs = map rel_binding_of specs;
49298
36e551d3af3b support for sort constraints in new (co)data commands
blanchet
parents: 49297
diff changeset
  1061
51758
55963309557b honor user-specified name for map function
blanchet
parents: 51757
diff changeset
  1062
    fun prepare_type_arg (_, (ty, c)) =
49298
36e551d3af3b support for sort constraints in new (co)data commands
blanchet
parents: 49297
diff changeset
  1063
      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
  1064
        TFree (s, prepare_constraint no_defs_lthy0 c)
36e551d3af3b support for sort constraints in new (co)data commands
blanchet
parents: 49297
diff changeset
  1065
      end;
36e551d3af3b support for sort constraints in new (co)data commands
blanchet
parents: 49297
diff changeset
  1066
51758
55963309557b honor user-specified name for map function
blanchet
parents: 51757
diff changeset
  1067
    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
  1068
    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
  1069
    val unsorted_As = Library.foldr1 merge_type_args unsorted_Ass0;
53266
89f7f1cc9ae3 cleaner handling of bootstrapping "fake" context, with fewer (no?) obscure bugs
blanchet
parents: 53264
diff changeset
  1070
    val num_As = length unsorted_As;
51758
55963309557b honor user-specified name for map function
blanchet
parents: 51757
diff changeset
  1071
    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
  1072
49585
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
  1073
    val (((Bs0, Cs), Xs), no_defs_lthy) =
49298
36e551d3af3b support for sort constraints in new (co)data commands
blanchet
parents: 49297
diff changeset
  1074
      no_defs_lthy0
36e551d3af3b support for sort constraints in new (co)data commands
blanchet
parents: 49297
diff changeset
  1075
      |> fold (Variable.declare_typ o resort_tfree dummyS) unsorted_As
53266
89f7f1cc9ae3 cleaner handling of bootstrapping "fake" context, with fewer (no?) obscure bugs
blanchet
parents: 53264
diff changeset
  1076
      |> mk_TFrees num_As
49585
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
  1077
      ||>> mk_TFrees nn
51858
7a08fe1e19b1 added and moved library functions (used in primrec code)
blanchet
parents: 51857
diff changeset
  1078
      ||>> variant_tfrees fp_b_names;
49119
1f605c36869c more work on FP sugar
blanchet
parents: 49112
diff changeset
  1079
53268
de1dc709f9d4 handle type class annotations on (co)datatype parameters gracefully
blanchet
parents: 53266
diff changeset
  1080
    fun add_fake_type spec = Typedecl.basic_typedecl (type_binding_of spec, num_As, mixfix_of spec);
51768
d2a236b10796 proper error generated for wrong mixfix
blanchet
parents: 51767
diff changeset
  1081
53268
de1dc709f9d4 handle type class annotations on (co)datatype parameters gracefully
blanchet
parents: 53266
diff changeset
  1082
    val (fake_T_names, fake_lthy) = fold_map add_fake_type specs no_defs_lthy0;
49119
1f605c36869c more work on FP sugar
blanchet
parents: 49112
diff changeset
  1083
53262
23927b18dce2 rationalize message generation + added a warning
blanchet
parents: 53260
diff changeset
  1084
    val qsoty = quote o Syntax.string_of_typ fake_lthy;
23927b18dce2 rationalize message generation + added a warning
blanchet
parents: 53260
diff changeset
  1085
23927b18dce2 rationalize message generation + added a warning
blanchet
parents: 53260
diff changeset
  1086
    val _ = (case duplicates (op =) unsorted_As of [] => ()
23927b18dce2 rationalize message generation + added a warning
blanchet
parents: 53260
diff changeset
  1087
      | A :: _ => error ("Duplicate type parameter " ^ qsoty A ^ " in " ^ co_prefix fp ^
23927b18dce2 rationalize message generation + added a warning
blanchet
parents: 53260
diff changeset
  1088
          "datatype specification"));
23927b18dce2 rationalize message generation + added a warning
blanchet
parents: 53260
diff changeset
  1089
23927b18dce2 rationalize message generation + added a warning
blanchet
parents: 53260
diff changeset
  1090
    val bad_args =
23927b18dce2 rationalize message generation + added a warning
blanchet
parents: 53260
diff changeset
  1091
      map (Logic.type_map (singleton (Variable.polymorphic no_defs_lthy0))) unsorted_As
23927b18dce2 rationalize message generation + added a warning
blanchet
parents: 53260
diff changeset
  1092
      |> filter_out Term.is_TVar;
23927b18dce2 rationalize message generation + added a warning
blanchet
parents: 53260
diff changeset
  1093
    val _ = null bad_args orelse
23927b18dce2 rationalize message generation + added a warning
blanchet
parents: 53260
diff changeset
  1094
      error ("Locally fixed type argument " ^ qsoty (hd bad_args) ^ " in " ^ co_prefix fp ^
23927b18dce2 rationalize message generation + added a warning
blanchet
parents: 53260
diff changeset
  1095
        "datatype specification");
23927b18dce2 rationalize message generation + added a warning
blanchet
parents: 53260
diff changeset
  1096
49181
blanchet
parents: 49180
diff changeset
  1097
    val mixfixes = map mixfix_of specs;
49119
1f605c36869c more work on FP sugar
blanchet
parents: 49112
diff changeset
  1098
49302
f5bd87aac224 added optional qualifiers for constructors and destructors, similarly to the old package
blanchet
parents: 49300
diff changeset
  1099
    val _ = (case duplicates Binding.eq_name fp_bs of [] => ()
49119
1f605c36869c more work on FP sugar
blanchet
parents: 49112
diff changeset
  1100
      | b :: _ => error ("Duplicate type name declaration " ^ quote (Binding.name_of b)));
1f605c36869c more work on FP sugar
blanchet
parents: 49112
diff changeset
  1101
49121
9e0acaa470ab more work on FP sugar
blanchet
parents: 49119
diff changeset
  1102
    val ctr_specss = map ctr_specs_of specs;
49119
1f605c36869c more work on FP sugar
blanchet
parents: 49112
diff changeset
  1103
49336
blanchet
parents: 49330
diff changeset
  1104
    val disc_bindingss = map (map disc_of) ctr_specss;
blanchet
parents: 49330
diff changeset
  1105
    val ctr_bindingss =
49633
5b5450bc544c compatibility option to use "rep_datatype"
blanchet
parents: 49622
diff changeset
  1106
      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
  1107
    val ctr_argsss = map (map args_of) ctr_specss;
49181
blanchet
parents: 49180
diff changeset
  1108
    val ctr_mixfixess = map (map ctr_mixfix_of) ctr_specss;
49119
1f605c36869c more work on FP sugar
blanchet
parents: 49112
diff changeset
  1109
49336
blanchet
parents: 49330
diff changeset
  1110
    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
  1111
    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
  1112
    val raw_sel_defaultsss = map (map defaults_of) ctr_specss;
dde4967c9233 added "defaults" option
blanchet
parents: 49280
diff changeset
  1113
49308
6190b701e4f4 reorganized dependencies so that the sugar does not depend on GFP -- this will be essential for bootstrapping
blanchet
parents: 49302
diff changeset
  1114
    val (As :: _) :: fake_ctr_Tsss =
49298
36e551d3af3b support for sort constraints in new (co)data commands
blanchet
parents: 49297
diff changeset
  1115
      burrow (burrow (Syntax.check_typs fake_lthy)) (Ass0 :: fake_ctr_Tsss0);
53262
23927b18dce2 rationalize message generation + added a warning
blanchet
parents: 53260
diff changeset
  1116
    val As' = map dest_TFree As;
49298
36e551d3af3b support for sort constraints in new (co)data commands
blanchet
parents: 49297
diff changeset
  1117
49183
0cc46e2dee7e careful about constructor types w.r.t. fake context (third step of localization)
blanchet
parents: 49182
diff changeset
  1118
    val rhs_As' = fold (fold (fold Term.add_tfreesT)) fake_ctr_Tsss [];
53262
23927b18dce2 rationalize message generation + added a warning
blanchet
parents: 53260
diff changeset
  1119
    val _ = (case subtract (op =) As' rhs_As' of [] => ()
23927b18dce2 rationalize message generation + added a warning
blanchet
parents: 53260
diff changeset
  1120
      | extras => error ("Extra type variables on right-hand side: " ^
23927b18dce2 rationalize message generation + added a warning
blanchet
parents: 53260
diff changeset
  1121
          commas (map (qsoty o TFree) extras)));
49165
c6ccaf6df93c check type variables on rhs
blanchet
parents: 49161
diff changeset
  1122
53268
de1dc709f9d4 handle type class annotations on (co)datatype parameters gracefully
blanchet
parents: 53266
diff changeset
  1123
    val fake_Ts = map (fn s => Type (s, As)) fake_T_names;
de1dc709f9d4 handle type class annotations on (co)datatype parameters gracefully
blanchet
parents: 53266
diff changeset
  1124
53262
23927b18dce2 rationalize message generation + added a warning
blanchet
parents: 53260
diff changeset
  1125
    fun eq_fpT_check (T as Type (s, Ts)) (T' as Type (s', Ts')) =
23927b18dce2 rationalize message generation + added a warning
blanchet
parents: 53260
diff changeset
  1126
        s = s' andalso (Ts = Ts' orelse
23927b18dce2 rationalize message generation + added a warning
blanchet
parents: 53260
diff changeset
  1127
          error ("Wrong type arguments in " ^ co_prefix fp ^ "recursive type " ^ qsoty T ^
23927b18dce2 rationalize message generation + added a warning
blanchet
parents: 53260
diff changeset
  1128
            " (expected " ^ qsoty T' ^ ")"))
49591
91b228e26348 generate high-level "coinduct" and "strong_coinduct" properties
blanchet
parents: 49590
diff changeset
  1129
      | eq_fpT_check _ _ = false;
49146
e32b1f748854 added a check
blanchet
parents: 49135
diff changeset
  1130
53222
8b159677efb5 better error message
blanchet
parents: 53221
diff changeset
  1131
    fun freeze_fp (T as Type (s, Ts)) =
49591
91b228e26348 generate high-level "coinduct" and "strong_coinduct" properties
blanchet
parents: 49590
diff changeset
  1132
        (case find_index (eq_fpT_check T) fake_Ts of
53222
8b159677efb5 better error message
blanchet
parents: 53221
diff changeset
  1133
          ~1 => Type (s, map freeze_fp Ts)
49591
91b228e26348 generate high-level "coinduct" and "strong_coinduct" properties
blanchet
parents: 49590
diff changeset
  1134
        | kk => nth Xs kk)
49204
0b735fb2602e generate iter/rec goals
blanchet
parents: 49203
diff changeset
  1135
      | freeze_fp T = T;
49121
9e0acaa470ab more work on FP sugar
blanchet
parents: 49119
diff changeset
  1136
53222
8b159677efb5 better error message
blanchet
parents: 53221
diff changeset
  1137
    val unfreeze_fp = Term.typ_subst_atomic (Xs ~~ fake_Ts);
8b159677efb5 better error message
blanchet
parents: 53221
diff changeset
  1138
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
  1139
    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
  1140
    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
  1141
49298
36e551d3af3b support for sort constraints in new (co)data commands
blanchet
parents: 49297
diff changeset
  1142
    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
  1143
      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
  1144
53262
23927b18dce2 rationalize message generation + added a warning
blanchet
parents: 53260
diff changeset
  1145
    val rhsXs_As' = fold (fold (fold Term.add_tfreesT)) ctrXs_Tsss [];
23927b18dce2 rationalize message generation + added a warning
blanchet
parents: 53260
diff changeset
  1146
    val _ = (case subtract (op =) rhsXs_As' As' of [] => ()
53266
89f7f1cc9ae3 cleaner handling of bootstrapping "fake" context, with fewer (no?) obscure bugs
blanchet
parents: 53264
diff changeset
  1147
      | extras => List.app (fn extra => warning ("Unused type variable on right-hand side of " ^
89f7f1cc9ae3 cleaner handling of bootstrapping "fake" context, with fewer (no?) obscure bugs
blanchet
parents: 53264
diff changeset
  1148
          co_prefix fp ^ "datatype definition: " ^ qsoty (TFree extra))) extras);
53262
23927b18dce2 rationalize message generation + added a warning
blanchet
parents: 53260
diff changeset
  1149
51839
5c552de1d8d1 added constructors to data structure
blanchet
parents: 51838
diff changeset
  1150
    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
  1151
           xtor_co_iterss = xtor_co_iterss0, xtor_co_induct, dtor_ctors, ctor_dtors, ctor_injects,
53203
222ea6acbdd6 moved derivation of ctor_dtor_unfold to sugar (streamlines fp_result interface)
traytel
parents: 53143
diff changeset
  1152
           dtor_injects, xtor_map_thms, xtor_set_thmss, xtor_rel_thms, xtor_co_iter_thmss, ...},
222ea6acbdd6 moved derivation of ctor_dtor_unfold to sugar (streamlines fp_result interface)
traytel
parents: 53143
diff changeset
  1153
           lthy)) =
53222
8b159677efb5 better error message
blanchet
parents: 53221
diff changeset
  1154
      fp_bnf (construct_fp mixfixes map_bs rel_bs set_bss) fp_bs (map dest_TFree unsorted_As) fp_eqs
8b159677efb5 better error message
blanchet
parents: 53221
diff changeset
  1155
        no_defs_lthy0
8b159677efb5 better error message
blanchet
parents: 53221
diff changeset
  1156
      handle BAD_DEAD (X, X_backdrop) =>
8b159677efb5 better error message
blanchet
parents: 53221
diff changeset
  1157
        (case X_backdrop of
8b159677efb5 better error message
blanchet
parents: 53221
diff changeset
  1158
          Type (bad_tc, _) =>
8b159677efb5 better error message
blanchet
parents: 53221
diff changeset
  1159
          let
8b159677efb5 better error message
blanchet
parents: 53221
diff changeset
  1160
            val fake_T = qsoty (unfreeze_fp X);
8b159677efb5 better error message
blanchet
parents: 53221
diff changeset
  1161
            val fake_T_backdrop = qsoty (unfreeze_fp X_backdrop);
8b159677efb5 better error message
blanchet
parents: 53221
diff changeset
  1162
            fun register_hint () =
8b159677efb5 better error message
blanchet
parents: 53221
diff changeset
  1163
              "\nUse the " ^ quote (fst (fst @{command_spec "bnf"})) ^ " command to register " ^
8b159677efb5 better error message
blanchet
parents: 53221
diff changeset
  1164
              quote bad_tc ^ " as a bounded natural functor to allow nested (co)recursion through \
8b159677efb5 better error message
blanchet
parents: 53221
diff changeset
  1165
              \it";
8b159677efb5 better error message
blanchet
parents: 53221
diff changeset
  1166
          in
8b159677efb5 better error message
blanchet
parents: 53221
diff changeset
  1167
            if is_some (bnf_of no_defs_lthy bad_tc) orelse
8b159677efb5 better error message
blanchet
parents: 53221
diff changeset
  1168
               is_some (fp_sugar_of no_defs_lthy bad_tc) then
53256
blanchet
parents: 53222
diff changeset
  1169
              error ("Inadmissible " ^ co_prefix fp ^ "recursive occurrence of type " ^ fake_T ^
blanchet
parents: 53222
diff changeset
  1170
                " in type expression " ^ fake_T_backdrop)
53222
8b159677efb5 better error message
blanchet
parents: 53221
diff changeset
  1171
            else if is_some (Datatype_Data.get_info (Proof_Context.theory_of no_defs_lthy)
8b159677efb5 better error message
blanchet
parents: 53221
diff changeset
  1172
                bad_tc) then
8b159677efb5 better error message
blanchet
parents: 53221
diff changeset
  1173
              error ("Unsupported " ^ co_prefix fp ^ "recursive occurrence of type " ^ fake_T ^
8b159677efb5 better error message
blanchet
parents: 53221
diff changeset
  1174
                " via the old-style datatype " ^ quote bad_tc ^ " in type expression " ^
8b159677efb5 better error message
blanchet
parents: 53221
diff changeset
  1175
                fake_T_backdrop ^ register_hint ())
8b159677efb5 better error message
blanchet
parents: 53221
diff changeset
  1176
            else
8b159677efb5 better error message
blanchet
parents: 53221
diff changeset
  1177
              error ("Unsupported " ^ co_prefix fp ^ "recursive occurrence of type " ^ fake_T ^
8b159677efb5 better error message
blanchet
parents: 53221
diff changeset
  1178
                " via type constructor " ^ quote bad_tc ^ " in type expression " ^ fake_T_backdrop ^
8b159677efb5 better error message
blanchet
parents: