src/HOL/Tools/BNF/bnf_fp_def_sugar.ML
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(*  Title:      HOL/Tools/BNF/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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     X: typ,
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     fp: BNF_Util.fp_kind,
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     fp_res_index: int,
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     fp_res: BNF_FP_Util.fp_result,
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     pre_bnf: BNF_Def.bnf,
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     absT_info: BNF_Comp.absT_info,
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     nested_bnfs: BNF_Def.bnf list,
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     nesting_bnfs: BNF_Def.bnf list,
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     ctrXs_Tss: typ list list,
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     ctr_defs: thm list,
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     ctr_sugar: Ctr_Sugar.ctr_sugar,
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     co_iters: term list,
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     maps: thm list,
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     common_co_inducts: thm list,
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     co_inducts: thm list,
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     co_iter_thmss: thm list list,
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     disc_co_iterss: thm list list,
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     sel_co_itersss: thm list list list};
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  val morph_fp_sugar: morphism -> fp_sugar -> fp_sugar
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  val transfer_fp_sugar: Proof.context -> fp_sugar -> fp_sugar
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  val fp_sugar_of: Proof.context -> string -> fp_sugar option
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  val fp_sugars_of: Proof.context -> fp_sugar list
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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 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 nesty_bnfs: Proof.context -> typ list list list -> typ list -> BNF_Def.bnf list
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  type lfp_sugar_thms =
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    (thm list * thm * Args.src list) * (thm list list * thm list list * Args.src list)
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  val morph_lfp_sugar_thms: morphism -> lfp_sugar_thms -> lfp_sugar_thms
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  val transfer_lfp_sugar_thms: Proof.context -> lfp_sugar_thms -> lfp_sugar_thms
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  type gfp_sugar_thms =
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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 * 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 morph_gfp_sugar_thms: morphism -> gfp_sugar_thms -> gfp_sugar_thms
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  val transfer_gfp_sugar_thms: Proof.context -> gfp_sugar_thms -> gfp_sugar_thms
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  val mk_co_iters_prelims: BNF_Util.fp_kind -> typ list list list -> typ list -> typ list ->
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    typ list -> typ list -> 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) list) option)
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    * Proof.context
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  val repair_nullary_single_ctr: typ list list -> typ list list
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  val mk_coiter_p_pred_types: typ list -> int list -> typ list list
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  val mk_coiter_fun_arg_types: typ list list list -> typ list -> typ list -> typ list -> int list ->
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    int list list -> term ->
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    typ list list
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    * (typ list list list list * typ list list list * typ list list list list * typ list)
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  val define_iters: string list ->
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    (typ list list * typ list list list list * term list list * term list list list list) list ->
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    (string -> binding) -> typ list -> typ list -> term list -> 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) list ->
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    (string -> binding) -> typ list -> typ list -> term 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 -> thm list -> thm list -> thm list -> term list list ->
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    thm list list -> term list list -> thm list list -> local_theory -> lfp_sugar_thms
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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) 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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    typ list -> typ list list list -> int list list -> int list list -> int list -> thm list ->
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    thm list -> (thm -> thm) -> thm list list -> Ctr_Sugar.ctr_sugar list -> term list list ->
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    thm list list -> (thm list -> thm list) -> local_theory -> gfp_sugar_thms
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  type co_datatype_spec =
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    ((((binding option * (typ * sort)) list * binding) * (binding * binding)) * mixfix)
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    * ((binding, binding * typ, term) Ctr_Sugar.ctr_spec * mixfix) list
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  val co_datatypes: BNF_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 -> BNF_Comp.absT_info list -> local_theory ->
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      BNF_FP_Util.fp_result * local_theory) ->
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    (bool * bool) * co_datatype_spec list ->
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    local_theory -> local_theory
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  val parse_co_datatype_cmd: BNF_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 -> BNF_Comp.absT_info list -> local_theory ->
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      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 Ctr_Sugar
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open BNF_FP_Rec_Sugar_Util
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open BNF_Util
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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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   X: typ,
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   fp: fp_kind,
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   fp_res_index: int,
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   fp_res: fp_result,
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   pre_bnf: bnf,
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   absT_info: absT_info,
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   nested_bnfs: bnf list,
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   nesting_bnfs: bnf list,
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   ctrXs_Tss: typ list list,
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   ctr_defs: thm list,
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   ctr_sugar: Ctr_Sugar.ctr_sugar,
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   co_iters: term list,
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   maps: thm list,
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   common_co_inducts: thm list,
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   co_inducts: thm list,
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   co_iter_thmss: thm list list,
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   disc_co_iterss: thm list list,
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   sel_co_itersss: thm list list list};
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fun morph_fp_sugar phi ({T, X, fp, fp_res, fp_res_index, pre_bnf, absT_info, nested_bnfs,
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    nesting_bnfs, ctrXs_Tss, ctr_defs, ctr_sugar, co_iters, maps, common_co_inducts, co_inducts,
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    co_iter_thmss, disc_co_iterss, sel_co_itersss} : fp_sugar) =
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  {T = Morphism.typ phi T,
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   X = Morphism.typ phi X,
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   fp = fp,
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   fp_res = morph_fp_result phi fp_res,
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   fp_res_index = fp_res_index,
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   pre_bnf = morph_bnf phi pre_bnf,
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   absT_info = morph_absT_info phi absT_info,
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   nested_bnfs = map (morph_bnf phi) nested_bnfs,
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   nesting_bnfs = map (morph_bnf phi) nesting_bnfs,
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   ctrXs_Tss = map (map (Morphism.typ phi)) ctrXs_Tss,
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   ctr_defs = map (Morphism.thm phi) ctr_defs,
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   ctr_sugar = morph_ctr_sugar phi ctr_sugar,
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   co_iters = map (Morphism.term phi) co_iters,
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   maps = map (Morphism.thm phi) maps,
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   common_co_inducts = map (Morphism.thm phi) common_co_inducts,
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   co_inducts = map (Morphism.thm phi) co_inducts,
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   co_iter_thmss = map (map (Morphism.thm phi)) co_iter_thmss,
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   disc_co_iterss = map (map (Morphism.thm phi)) disc_co_iterss,
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   sel_co_itersss = map (map (map (Morphism.thm phi))) sel_co_itersss};
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val transfer_fp_sugar =
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  morph_fp_sugar o Morphism.transfer_morphism o Proof_Context.theory_of;
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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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  fun merge data : T = Symtab.merge (K true) data;
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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 (transfer_fp_sugar ctxt);
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fun fp_sugars_of ctxt =
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  Symtab.fold (cons o transfer_fp_sugar ctxt o snd) (Data.get (Context.Proof 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.update (key, morph_fp_sugar phi fp_sugar)));
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fun register_fp_sugars Xs fp pre_bnfs absT_infos nested_bnfs nesting_bnfs (fp_res as {Ts, ...})
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    ctrXs_Tsss ctr_defss ctr_sugars co_iterss mapss common_co_inducts co_inductss co_iter_thmsss
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    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, X = nth Xs kk, fp = fp, fp_res = fp_res, fp_res_index = kk,
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        pre_bnf = nth pre_bnfs kk, absT_info = nth absT_infos kk, nested_bnfs = nested_bnfs,
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        nesting_bnfs = nesting_bnfs, ctrXs_Tss = nth ctrXs_Tsss kk, ctr_defs = nth ctr_defss kk,
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        ctr_sugar = nth ctr_sugars kk, co_iters = nth co_iterss kk, maps = nth mapss kk,
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        common_co_inducts = common_co_inducts, co_inducts = nth co_inductss kk,
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        co_iter_thmss = nth co_iter_thmsss kk, disc_co_iterss = nth disc_co_itersss kk,
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        sel_co_itersss = nth sel_co_iterssss kk}
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      lthy)) Ts
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  |> snd;
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(* This function could produce (fairly harmless) clashes in contrived examples (e.g., "x.A",
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   "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 fundefcong_attrs = @{attributes [fundef_cong]};
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val nitpicksimp_attrs = @{attributes [nitpick_simp]};
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val code_nitpicksimp_attrs = Code.add_default_eqn_attrib :: nitpicksimp_attrs;
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val simp_attrs = @{attributes [simp]};
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val lists_bmoc = fold (fn xs => fn t => Term.list_comb (t, xs));
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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_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_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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fun unzip_recT (Type (@{type_name prod}, _)) T = [T]
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  | unzip_recT _ (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 _ (Type (@{type_name sum}, Ts)) = Ts
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  | unzip_corecT _ T = [T];
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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 fp =
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  error ("Mutually " ^ co_prefix fp ^ "recursive types must have the same type parameters");
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fun merge_type_arg fp T T' = if T = T' then T else cannot_merge_types fp;
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fun merge_type_args fp (As, As') =
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  if length As = length As' then map2 (merge_type_arg fp) As As' else cannot_merge_types fp;
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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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type co_datatype_spec =
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  ((((binding option * (typ * sort)) list * binding) * (binding * binding)) * mixfix)
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  * ((binding, binding * typ, term) ctr_spec * mixfix) list;
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fun type_args_named_constrained_of_spec ((((ncAs, _), _), _), _) = ncAs;
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fun type_binding_of_spec ((((_, b), _), _), _) = b;
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fun map_binding_of_spec (((_, (b, _)), _), _) = b;
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fun rel_binding_of_spec (((_, (_, b)), _), _) = b;
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fun mixfix_of_spec ((_, mx), _) = mx;
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fun mixfixed_ctr_specs_of_spec (_, mx_ctr_specs) = mx_ctr_specs;
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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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type lfp_sugar_thms =
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  (thm list * thm * Args.src list) * (thm list list * thm list list * Args.src list)
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fun morph_lfp_sugar_thms phi ((inducts, induct, induct_attrs), (foldss, recss, iter_attrs)) =
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  ((map (Morphism.thm phi) inducts, Morphism.thm phi induct, induct_attrs),
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   (map (map (Morphism.thm phi)) foldss, map (map (Morphism.thm phi)) recss, iter_attrs))
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  : lfp_sugar_thms;
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val transfer_lfp_sugar_thms =
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  morph_lfp_sugar_thms o Morphism.transfer_morphism o Proof_Context.theory_of;
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type gfp_sugar_thms =
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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 * 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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fun morph_gfp_sugar_thms phi ((coinducts_pairs, coinduct_attrs),
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    (unfoldss, corecss, coiter_attrs), (disc_unfoldss, disc_corecss, disc_iter_attrs),
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    (disc_unfold_iffss, disc_corec_iffss, disc_iter_iff_attrs),
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    (sel_unfoldsss, sel_corecsss, sel_iter_attrs)) =
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  ((map (apfst (map (Morphism.thm phi)) o apsnd (Morphism.thm phi)) coinducts_pairs,
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    coinduct_attrs),
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   (map (map (Morphism.thm phi)) unfoldss, map (map (Morphism.thm phi)) corecss, coiter_attrs),
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   (map (map (Morphism.thm phi)) disc_unfoldss, map (map (Morphism.thm phi)) disc_corecss,
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    disc_iter_attrs),
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   (map (map (Morphism.thm phi)) disc_unfold_iffss, map (map (Morphism.thm phi)) disc_corec_iffss,
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    disc_iter_iff_attrs),
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   (map (map (map (Morphism.thm phi))) sel_unfoldsss,
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    map (map (map (Morphism.thm phi))) sel_corecsss, sel_iter_attrs)) : gfp_sugar_thms;
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val transfer_gfp_sugar_thms =
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  morph_gfp_sugar_thms o Morphism.transfer_morphism o Proof_Context.theory_of;
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fun mk_iters_args_types ctr_Tsss Cs absTs repTs 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 = map5 (fn absT => fn repT => fn n => fn ms =>
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        dest_absumprodT absT repT n ms o domain_type)
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      absTs repTs ns mss (map un_fold_of ctor_iter_fun_Tss);
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    val g_Tss = map2 (fn C => map (fn y_Ts => y_Ts ---> C)) Cs y_Tsss;
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    val ((gss, ysss), lthy) =
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      lthy
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      |> mk_Freess "f" g_Tss
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      ||>> mk_Freesss "x" y_Tsss;
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    val y_Tssss = map (map (map single)) y_Tsss;
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    val yssss = map (map (map single)) ysss;
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    val z_Tssss =
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      map6 (fn absT => fn repT => fn n => fn ms => fn ctr_Tss => fn ctor_iter_fun_Ts =>
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          map2 (map2 unzip_recT)
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            ctr_Tss (dest_absumprodT absT repT n ms (domain_type (co_rec_of ctor_iter_fun_Ts))))
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        absTs repTs ns mss ctr_Tsss ctor_iter_fun_Tss;
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   378
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    val z_Tsss' = map (map flat_rec_arg_args) z_Tssss;
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    val h_Tss = map2 (map2 (curry (op --->))) z_Tsss' Css;
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    val hss = map2 (map2 retype_free) h_Tss gss;
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    val zssss_hd = map2 (map2 (map2 (retype_free o hd))) z_Tssss ysss;
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    val (zssss_tl, lthy) =
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      lthy
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      |> mk_Freessss "y" (map (map (map tl)) z_Tssss);
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    val zssss = map2 (map2 (map2 cons)) zssss_hd zssss_tl;
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  in
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    ([(g_Tss, y_Tssss, gss, yssss), (h_Tss, z_Tssss, hss, zssss)], lthy)
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  end;
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   391
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(*avoid "'a itself" arguments in coiterators*)
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fun repair_nullary_single_ctr [[]] = [[@{typ unit}]]
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  | repair_nullary_single_ctr Tss = Tss;
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fun mk_coiter_fun_arg_types0 ctr_Tsss Cs absTs repTs ns mss fun_Ts =
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   397
  let
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   398
    val ctr_Tsss' = map repair_nullary_single_ctr ctr_Tsss;
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    val f_absTs = map range_type fun_Ts;
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   400
    val f_Tsss = map repair_nullary_single_ctr (map5 dest_absumprodT absTs repTs ns mss f_absTs);
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   401
    val f_Tssss = map3 (fn C => map2 (map2 (map (curry (op -->) C) oo unzip_corecT)))
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   402
      Cs ctr_Tsss' f_Tsss;
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   403
    val q_Tssss = map (map (map (fn [_] => [] | [_, T] => [mk_pred1T (domain_type T)]))) f_Tssss;
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   404
  in
55803
74d3fe9031d8 joint work with blanchet: intermediate typedef for the input to fp-operations
traytel
parents: 55772
diff changeset
   405
    (q_Tssss, f_Tsss, f_Tssss, f_absTs)
52870
blanchet
parents: 52869
diff changeset
   406
  end;
51829
3cc93eeac8cc signature tuning
blanchet
parents: 51828
diff changeset
   407
52898
2af1caada147 enrich exported ML function's signature
blanchet
parents: 52872
diff changeset
   408
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
   409
55803
74d3fe9031d8 joint work with blanchet: intermediate typedef for the input to fp-operations
traytel
parents: 55772
diff changeset
   410
fun mk_coiter_fun_arg_types ctr_Tsss Cs absTs repTs ns mss dtor_coiter =
74d3fe9031d8 joint work with blanchet: intermediate typedef for the input to fp-operations
traytel
parents: 55772
diff changeset
   411
  (mk_coiter_p_pred_types Cs ns,
74d3fe9031d8 joint work with blanchet: intermediate typedef for the input to fp-operations
traytel
parents: 55772
diff changeset
   412
   mk_coiter_fun_arg_types0 ctr_Tsss Cs absTs repTs ns mss
74d3fe9031d8 joint work with blanchet: intermediate typedef for the input to fp-operations
traytel
parents: 55772
diff changeset
   413
     (binder_fun_types (fastype_of dtor_coiter)));
74d3fe9031d8 joint work with blanchet: intermediate typedef for the input to fp-operations
traytel
parents: 55772
diff changeset
   414
74d3fe9031d8 joint work with blanchet: intermediate typedef for the input to fp-operations
traytel
parents: 55772
diff changeset
   415
fun mk_coiters_args_types ctr_Tsss Cs absTs repTs ns mss dtor_coiter_fun_Tss lthy =
52870
blanchet
parents: 52869
diff changeset
   416
  let
52898
2af1caada147 enrich exported ML function's signature
blanchet
parents: 52872
diff changeset
   417
    val p_Tss = mk_coiter_p_pred_types Cs ns;
51829
3cc93eeac8cc signature tuning
blanchet
parents: 51828
diff changeset
   418
52871
blanchet
parents: 52870
diff changeset
   419
    fun mk_types get_Ts =
51829
3cc93eeac8cc signature tuning
blanchet
parents: 51828
diff changeset
   420
      let
52335
blanchet
parents: 52334
diff changeset
   421
        val fun_Ts = map get_Ts dtor_coiter_fun_Tss;
55803
74d3fe9031d8 joint work with blanchet: intermediate typedef for the input to fp-operations
traytel
parents: 55772
diff changeset
   422
        val (q_Tssss, f_Tsss, f_Tssss, f_repTs) =
74d3fe9031d8 joint work with blanchet: intermediate typedef for the input to fp-operations
traytel
parents: 55772
diff changeset
   423
          mk_coiter_fun_arg_types0 ctr_Tsss Cs absTs repTs ns mss fun_Ts;
52870
blanchet
parents: 52869
diff changeset
   424
      in
55803
74d3fe9031d8 joint work with blanchet: intermediate typedef for the input to fp-operations
traytel
parents: 55772
diff changeset
   425
        (q_Tssss, f_Tsss, f_Tssss, f_repTs)
52870
blanchet
parents: 52869
diff changeset
   426
      end;
51829
3cc93eeac8cc signature tuning
blanchet
parents: 51828
diff changeset
   427
52871
blanchet
parents: 52870
diff changeset
   428
    val (r_Tssss, g_Tsss, g_Tssss, unfold_types) = mk_types un_fold_of;
blanchet
parents: 52870
diff changeset
   429
    val (s_Tssss, h_Tsss, h_Tssss, corec_types) = mk_types co_rec_of;
51831
blanchet
parents: 51830
diff changeset
   430
52347
ead18e3b2c1b changed back type of corecursor for nested case, effectively reverting aa66ea552357 and 78a3d5006cf1
blanchet
parents: 52346
diff changeset
   431
    val ((((Free (z, _), cs), pss), gssss), lthy) =
51829
3cc93eeac8cc signature tuning
blanchet
parents: 51828
diff changeset
   432
      lthy
52347
ead18e3b2c1b changed back type of corecursor for nested case, effectively reverting aa66ea552357 and 78a3d5006cf1
blanchet
parents: 52346
diff changeset
   433
      |> 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
   434
      ||>> mk_Frees "a" Cs
51829
3cc93eeac8cc signature tuning
blanchet
parents: 51828
diff changeset
   435
      ||>> mk_Freess "p" p_Tss
3cc93eeac8cc signature tuning
blanchet
parents: 51828
diff changeset
   436
      ||>> mk_Freessss "g" g_Tssss;
3cc93eeac8cc signature tuning
blanchet
parents: 51828
diff changeset
   437
    val rssss = map (map (map (fn [] => []))) r_Tssss;
3cc93eeac8cc signature tuning
blanchet
parents: 51828
diff changeset
   438
3cc93eeac8cc signature tuning
blanchet
parents: 51828
diff changeset
   439
    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
   440
    val ((sssss, hssss_tl), lthy) =
3cc93eeac8cc signature tuning
blanchet
parents: 51828
diff changeset
   441
      lthy
3cc93eeac8cc signature tuning
blanchet
parents: 51828
diff changeset
   442
      |> mk_Freessss "q" s_Tssss
3cc93eeac8cc signature tuning
blanchet
parents: 51828
diff changeset
   443
      ||>> mk_Freessss "h" (map (map (map tl)) h_Tssss);
3cc93eeac8cc signature tuning
blanchet
parents: 51828
diff changeset
   444
    val hssss = map2 (map2 (map2 cons)) hssss_hd hssss_tl;
51831
blanchet
parents: 51830
diff changeset
   445
blanchet
parents: 51830
diff changeset
   446
    val cpss = map2 (map o rapp) cs pss;
51829
3cc93eeac8cc signature tuning
blanchet
parents: 51828
diff changeset
   447
52347
ead18e3b2c1b changed back type of corecursor for nested case, effectively reverting aa66ea552357 and 78a3d5006cf1
blanchet
parents: 52346
diff changeset
   448
    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
   449
ead18e3b2c1b changed back type of corecursor for nested case, effectively reverting aa66ea552357 and 78a3d5006cf1
blanchet
parents: 52346
diff changeset
   450
    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
   451
      | 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
   452
        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
   453
          (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
   454
52349
07fd21c01e93 code simplifications (cf. 78a3d5006cf1)
blanchet
parents: 52348
diff changeset
   455
    fun mk_args qssss fssss f_Tsss =
51831
blanchet
parents: 51830
diff changeset
   456
      let
52868
cca9e958da5c export ML function (for primcorec)
blanchet
parents: 52823
diff changeset
   457
        val pfss = map3 flat_corec_preds_predsss_gettersss pss qssss fssss;
51831
blanchet
parents: 51830
diff changeset
   458
        val cqssss = map2 (map o map o map o rapp) cs qssss;
blanchet
parents: 51830
diff changeset
   459
        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
   460
        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
   461
      in (pfss, cqfsss) end;
51831
blanchet
parents: 51830
diff changeset
   462
52349
07fd21c01e93 code simplifications (cf. 78a3d5006cf1)
blanchet
parents: 52348
diff changeset
   463
    val unfold_args = mk_args rssss gssss g_Tsss;
07fd21c01e93 code simplifications (cf. 78a3d5006cf1)
blanchet
parents: 52348
diff changeset
   464
    val corec_args = mk_args sssss hssss h_Tsss;
51831
blanchet
parents: 51830
diff changeset
   465
  in
52347
ead18e3b2c1b changed back type of corecursor for nested case, effectively reverting aa66ea552357 and 78a3d5006cf1
blanchet
parents: 52346
diff changeset
   466
    ((z, cs, cpss, [(unfold_args, unfold_types), (corec_args, corec_types)]), lthy)
51831
blanchet
parents: 51830
diff changeset
   467
  end;
51829
3cc93eeac8cc signature tuning
blanchet
parents: 51828
diff changeset
   468
55803
74d3fe9031d8 joint work with blanchet: intermediate typedef for the input to fp-operations
traytel
parents: 55772
diff changeset
   469
fun mk_co_iters_prelims fp ctr_Tsss fpTs Cs absTs repTs ns mss xtor_co_iterss0 lthy =
51903
126f8d11f873 move function to library
blanchet
parents: 51902
diff changeset
   470
  let
52169
blanchet
parents: 51912
diff changeset
   471
    val thy = Proof_Context.theory_of lthy;
blanchet
parents: 51912
diff changeset
   472
52335
blanchet
parents: 52334
diff changeset
   473
    val (xtor_co_iter_fun_Tss, xtor_co_iterss) =
55570
blanchet
parents: 55539
diff changeset
   474
      map (mk_co_iters thy fp fpTs Cs #> `(binder_fun_types o fastype_of o hd))
blanchet
parents: 55539
diff changeset
   475
        (transpose xtor_co_iterss0)
52335
blanchet
parents: 52334
diff changeset
   476
      |> apsnd transpose o apfst transpose o split_list;
51903
126f8d11f873 move function to library
blanchet
parents: 51902
diff changeset
   477
52329
blanchet
parents: 52328
diff changeset
   478
    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
   479
      if fp = Least_FP then
55803
74d3fe9031d8 joint work with blanchet: intermediate typedef for the input to fp-operations
traytel
parents: 55772
diff changeset
   480
        mk_iters_args_types ctr_Tsss Cs absTs repTs ns mss xtor_co_iter_fun_Tss lthy
74d3fe9031d8 joint work with blanchet: intermediate typedef for the input to fp-operations
traytel
parents: 55772
diff changeset
   481
        |>> (rpair NONE o SOME)
51903
126f8d11f873 move function to library
blanchet
parents: 51902
diff changeset
   482
      else
55803
74d3fe9031d8 joint work with blanchet: intermediate typedef for the input to fp-operations
traytel
parents: 55772
diff changeset
   483
        mk_coiters_args_types ctr_Tsss Cs absTs repTs ns mss xtor_co_iter_fun_Tss lthy
74d3fe9031d8 joint work with blanchet: intermediate typedef for the input to fp-operations
traytel
parents: 55772
diff changeset
   484
        |>> (pair NONE o SOME);
51903
126f8d11f873 move function to library
blanchet
parents: 51902
diff changeset
   485
  in
52335
blanchet
parents: 52334
diff changeset
   486
    ((xtor_co_iterss, iters_args_types, coiters_args_types), lthy')
51903
126f8d11f873 move function to library
blanchet
parents: 51902
diff changeset
   487
  end;
126f8d11f873 move function to library
blanchet
parents: 51902
diff changeset
   488
55803
74d3fe9031d8 joint work with blanchet: intermediate typedef for the input to fp-operations
traytel
parents: 55772
diff changeset
   489
fun mk_preds_getterss_join c cps absT abs cqfss =
74d3fe9031d8 joint work with blanchet: intermediate typedef for the input to fp-operations
traytel
parents: 55772
diff changeset
   490
  let
74d3fe9031d8 joint work with blanchet: intermediate typedef for the input to fp-operations
traytel
parents: 55772
diff changeset
   491
    val n = length cqfss;
74d3fe9031d8 joint work with blanchet: intermediate typedef for the input to fp-operations
traytel
parents: 55772
diff changeset
   492
    val ts = map2 (mk_absumprod absT abs n) (1 upto n) cqfss;
74d3fe9031d8 joint work with blanchet: intermediate typedef for the input to fp-operations
traytel
parents: 55772
diff changeset
   493
  in
74d3fe9031d8 joint work with blanchet: intermediate typedef for the input to fp-operations
traytel
parents: 55772
diff changeset
   494
    Term.lambda c (mk_IfN absT cps ts)
51900
blanchet
parents: 51899
diff changeset
   495
  end;
51886
e7fac4a483b5 started factoring out coiter construction
blanchet
parents: 51885
diff changeset
   496
52327
blanchet
parents: 52326
diff changeset
   497
fun define_co_iters fp fpT Cs binding_specs lthy0 =
51897
9a27c870ee21 refactoring
blanchet
parents: 51896
diff changeset
   498
  let
52170
564be617ae84 generalized "mk_co_iter" to handle mutualized (co)iterators
blanchet
parents: 52169
diff changeset
   499
    val thy = Proof_Context.theory_of lthy0;
564be617ae84 generalized "mk_co_iter" to handle mutualized (co)iterators
blanchet
parents: 52169
diff changeset
   500
53569
b4db0ade27bd conceal definitions of high-level constructors and (co)iterators
traytel
parents: 53553
diff changeset
   501
    val maybe_conceal_def_binding = Thm.def_binding
b4db0ade27bd conceal definitions of high-level constructors and (co)iterators
traytel
parents: 53553
diff changeset
   502
      #> Config.get lthy0 bnf_note_all = false ? Binding.conceal;
b4db0ade27bd conceal definitions of high-level constructors and (co)iterators
traytel
parents: 53553
diff changeset
   503
52327
blanchet
parents: 52326
diff changeset
   504
    val ((csts, defs), (lthy', lthy)) = lthy0
54623
59388c359dec avoid user-level 'Specification.definition' for low-level definitions
blanchet
parents: 54601
diff changeset
   505
      |> apfst split_list o fold_map (fn (b, rhs) =>
59388c359dec avoid user-level 'Specification.definition' for low-level definitions
blanchet
parents: 54601
diff changeset
   506
        Local_Theory.define ((b, NoSyn), ((maybe_conceal_def_binding b, []), rhs))
52327
blanchet
parents: 52326
diff changeset
   507
        #>> apsnd snd) binding_specs
blanchet
parents: 52326
diff changeset
   508
      ||> `Local_Theory.restore;
blanchet
parents: 52326
diff changeset
   509
blanchet
parents: 52326
diff changeset
   510
    val phi = Proof_Context.export_morphism lthy lthy';
blanchet
parents: 52326
diff changeset
   511
blanchet
parents: 52326
diff changeset
   512
    val csts' = map (mk_co_iter thy fp fpT Cs o Morphism.term phi) csts;
blanchet
parents: 52326
diff changeset
   513
    val defs' = map (Morphism.thm phi) defs;
blanchet
parents: 52326
diff changeset
   514
  in
blanchet
parents: 52326
diff changeset
   515
    ((csts', defs'), lthy')
blanchet
parents: 52326
diff changeset
   516
  end;
blanchet
parents: 52326
diff changeset
   517
55803
74d3fe9031d8 joint work with blanchet: intermediate typedef for the input to fp-operations
traytel
parents: 55772
diff changeset
   518
fun define_iters iterNs iter_args_typess' mk_binding fpTs Cs reps ctor_iters lthy =
52327
blanchet
parents: 52326
diff changeset
   519
  let
51899
c2c23ac31973 code tuning
blanchet
parents: 51897
diff changeset
   520
    val nn = length fpTs;
55803
74d3fe9031d8 joint work with blanchet: intermediate typedef for the input to fp-operations
traytel
parents: 55772
diff changeset
   521
    val fpT = domain_type (snd (strip_typeN nn (fastype_of (un_fold_of ctor_iters))));
51897
9a27c870ee21 refactoring
blanchet
parents: 51896
diff changeset
   522
54623
59388c359dec avoid user-level 'Specification.definition' for low-level definitions
blanchet
parents: 54601
diff changeset
   523
    fun generate_iter pre (_, _, fss, xssss) ctor_iter =
55803
74d3fe9031d8 joint work with blanchet: intermediate typedef for the input to fp-operations
traytel
parents: 55772
diff changeset
   524
      let val ctor_iter_absTs = map domain_type (fst (strip_typeN nn (fastype_of ctor_iter))) in
74d3fe9031d8 joint work with blanchet: intermediate typedef for the input to fp-operations
traytel
parents: 55772
diff changeset
   525
        (mk_binding pre,
74d3fe9031d8 joint work with blanchet: intermediate typedef for the input to fp-operations
traytel
parents: 55772
diff changeset
   526
         fold_rev (fold_rev Term.lambda) fss (Term.list_comb (ctor_iter,
74d3fe9031d8 joint work with blanchet: intermediate typedef for the input to fp-operations
traytel
parents: 55772
diff changeset
   527
           map4 (fn ctor_iter_absT => fn rep => fn fs => fn xsss =>
74d3fe9031d8 joint work with blanchet: intermediate typedef for the input to fp-operations
traytel
parents: 55772
diff changeset
   528
               mk_case_absumprod ctor_iter_absT rep fs
74d3fe9031d8 joint work with blanchet: intermediate typedef for the input to fp-operations
traytel
parents: 55772
diff changeset
   529
                 (map (HOLogic.mk_tuple o map HOLogic.mk_tuple) xsss) (map flat_rec_arg_args xsss))
74d3fe9031d8 joint work with blanchet: intermediate typedef for the input to fp-operations
traytel
parents: 55772
diff changeset
   530
             ctor_iter_absTs reps fss xssss)))
74d3fe9031d8 joint work with blanchet: intermediate typedef for the input to fp-operations
traytel
parents: 55772
diff changeset
   531
      end;
51897
9a27c870ee21 refactoring
blanchet
parents: 51896
diff changeset
   532
  in
52327
blanchet
parents: 52326
diff changeset
   533
    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
   534
  end;
9a27c870ee21 refactoring
blanchet
parents: 51896
diff changeset
   535
55803
74d3fe9031d8 joint work with blanchet: intermediate typedef for the input to fp-operations
traytel
parents: 55772
diff changeset
   536
fun define_coiters coiterNs (_, cs, cpss, coiter_args_typess') mk_binding fpTs Cs abss dtor_coiters
52347
ead18e3b2c1b changed back type of corecursor for nested case, effectively reverting aa66ea552357 and 78a3d5006cf1
blanchet
parents: 52346
diff changeset
   537
    lthy =
51897
9a27c870ee21 refactoring
blanchet
parents: 51896
diff changeset
   538
  let
51899
c2c23ac31973 code tuning
blanchet
parents: 51897
diff changeset
   539
    val nn = length fpTs;
c2c23ac31973 code tuning
blanchet
parents: 51897
diff changeset
   540
55480
59cc4a8bc28a allow different functions to recurse on the same type, like in the old package
blanchet
parents: 55471
diff changeset
   541
    val Type (_, [_, fpT]) = snd (strip_typeN nn (fastype_of (hd dtor_coiters)));
51897
9a27c870ee21 refactoring
blanchet
parents: 51896
diff changeset
   542
55803
74d3fe9031d8 joint work with blanchet: intermediate typedef for the input to fp-operations
traytel
parents: 55772
diff changeset
   543
    fun generate_coiter pre ((pfss, cqfsss), f_absTs) dtor_coiter =
54623
59388c359dec avoid user-level 'Specification.definition' for low-level definitions
blanchet
parents: 54601
diff changeset
   544
      (mk_binding pre,
59388c359dec avoid user-level 'Specification.definition' for low-level definitions
blanchet
parents: 54601
diff changeset
   545
       fold_rev (fold_rev Term.lambda) pfss (Term.list_comb (dtor_coiter,
55803
74d3fe9031d8 joint work with blanchet: intermediate typedef for the input to fp-operations
traytel
parents: 55772
diff changeset
   546
         map5 mk_preds_getterss_join cs cpss f_absTs abss cqfsss)));
51897
9a27c870ee21 refactoring
blanchet
parents: 51896
diff changeset
   547
  in
52327
blanchet
parents: 52326
diff changeset
   548
    define_co_iters Greatest_FP fpT Cs
blanchet
parents: 52326
diff changeset
   549
      (map3 generate_coiter coiterNs coiter_args_typess' dtor_coiters) lthy
52320
blanchet
parents: 52319
diff changeset
   550
  end;
51897
9a27c870ee21 refactoring
blanchet
parents: 51896
diff changeset
   551
53106
d81211f61a1b moved derivation of strong coinduction to sugar
traytel
parents: 53037
diff changeset
   552
fun derive_induct_iters_thms_for_types pre_bnfs [fold_args_types, rec_args_types] ctor_induct
55803
74d3fe9031d8 joint work with blanchet: intermediate typedef for the input to fp-operations
traytel
parents: 55772
diff changeset
   553
    ctor_iter_thmss nesting_bnfs nested_bnfs fpTs Cs Xs ctrXs_Tsss fp_abs_inverses
74d3fe9031d8 joint work with blanchet: intermediate typedef for the input to fp-operations
traytel
parents: 55772
diff changeset
   554
    fp_type_definitions abs_inverses ctrss ctr_defss iterss iter_defss 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
   555
  let
52340
blanchet
parents: 52339
diff changeset
   556
    val iterss' = transpose iterss;
blanchet
parents: 52339
diff changeset
   557
    val iter_defss' = transpose iter_defss;
blanchet
parents: 52339
diff changeset
   558
blanchet
parents: 52339
diff changeset
   559
    val [folds, recs] = iterss';
blanchet
parents: 52339
diff changeset
   560
    val [fold_defs, rec_defs] = iter_defss';
blanchet
parents: 52339
diff changeset
   561
51827
836257faaad5 tuned signature
blanchet
parents: 51824
diff changeset
   562
    val ctr_Tsss = map (map (binder_types o fastype_of)) ctrss;
836257faaad5 tuned signature
blanchet
parents: 51824
diff changeset
   563
51815
efacb9b99865 tune signatures
blanchet
parents: 51814
diff changeset
   564
    val nn = length pre_bnfs;
51827
836257faaad5 tuned signature
blanchet
parents: 51824
diff changeset
   565
    val ns = map length ctr_Tsss;
836257faaad5 tuned signature
blanchet
parents: 51824
diff changeset
   566
    val mss = map (map length) ctr_Tsss;
51815
efacb9b99865 tune signatures
blanchet
parents: 51814
diff changeset
   567
51808
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   568
    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
   569
    val pre_set_defss = map set_defs_of_bnf pre_bnfs;
53329
c31c0c311cf0 more canonical naming
blanchet
parents: 53290
diff changeset
   570
    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
   571
    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
   572
    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
   573
51816
5f1dec4297da use base names, not full names
blanchet
parents: 51815
diff changeset
   574
    val fp_b_names = map base_name_of_typ fpTs;
51811
1461426e2bf1 tuned function signatures
blanchet
parents: 51810
diff changeset
   575
51832
blanchet
parents: 51831
diff changeset
   576
    val ((((ps, ps'), xsss), us'), names_lthy) =
52315
fafab8eac3ee avoid duplicate call to "mk_fold_rec_args_types" function
blanchet
parents: 52314
diff changeset
   577
      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
   578
      |> mk_Frees' "P" (map mk_pred1T fpTs)
51827
836257faaad5 tuned signature
blanchet
parents: 51824
diff changeset
   579
      ||>> mk_Freesss "x" ctr_Tsss
51816
5f1dec4297da use base names, not full names
blanchet
parents: 51815
diff changeset
   580
      ||>> 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
   581
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   582
    val 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
   583
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   584
    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
   585
      let
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   586
        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
   587
        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
   588
        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
   589
        fun mk_set U =
54237
7cc6e286fe28 made sugared 'coinduct' theorem construction n2m-proof
blanchet
parents: 54236
diff changeset
   590
          (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
   591
            ~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
   592
          | 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
   593
      in
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   594
        (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
   595
      end;
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   596
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   597
    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
   598
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   599
    val (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
   600
      let
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   601
        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
   602
          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
   603
            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
   604
          end;
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   605
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
   606
        fun mk_raw_prem_prems _ (x as Free (_, Type _)) (X as TFree _) =
54237
7cc6e286fe28 made sugared 'coinduct' theorem construction n2m-proof
blanchet
parents: 54236
diff changeset
   607
            [([], (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
   608
          | 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
   609
            (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
   610
              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
   611
            | 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
   612
              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
   613
                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
   614
                  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
   615
                  |> 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
   616
                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
   617
                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
   618
                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
   619
                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
   620
              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
   621
                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
   622
              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
   623
          | 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
   624
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   625
        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
   626
          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
   627
            (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
   628
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   629
        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
   630
          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
   631
              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
   632
            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
   633
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
   634
        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
   635
          let
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   636
            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
   637
            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
   638
          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
   639
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   640
        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
   641
          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
   642
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
   643
        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
   644
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   645
        val goal =
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   646
          Library.foldr (Logic.list_implies o apfst (map mk_prem)) (raw_premss,
54237
7cc6e286fe28 made sugared 'coinduct' theorem construction n2m-proof
blanchet
parents: 54236
diff changeset
   647
            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
   648
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   649
        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
   650
55803
74d3fe9031d8 joint work with blanchet: intermediate typedef for the input to fp-operations
traytel
parents: 55772
diff changeset
   651
        val ctor_induct' = ctor_induct OF (map2 mk_absumprodE fp_type_definitions 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
   652
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   653
        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
   654
          Goal.prove_sorry lthy [] [] goal (fn {context = ctxt, ...} =>
55803
74d3fe9031d8 joint work with blanchet: intermediate typedef for the input to fp-operations
traytel
parents: 55772
diff changeset
   655
            mk_induct_tac ctxt nn ns mss kksss (flat ctr_defss) ctor_induct' fp_abs_inverses
74d3fe9031d8 joint work with blanchet: intermediate typedef for the input to fp-operations
traytel
parents: 55772
diff changeset
   656
              abs_inverses nested_set_maps pre_set_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
   657
          |> singleton (Proof_Context.export names_lthy lthy)
55409
b74248961819 made 'ctr_sugar' more friendly to the 'datatype_realizer'
blanchet
parents: 55397
diff changeset
   658
          (* for "datatype_realizer.ML": *)
b74248961819 made 'ctr_sugar' more friendly to the 'datatype_realizer'
blanchet
parents: 55397
diff changeset
   659
          |> Thm.name_derivation (fst (dest_Type (hd fpTs)) ^ Long_Name.separator ^
b74248961819 made 'ctr_sugar' more friendly to the 'datatype_realizer'
blanchet
parents: 55397
diff changeset
   660
            (if nn > 1 then space_implode "_" (tl fp_b_names) ^ Long_Name.separator else "") ^
b74248961819 made 'ctr_sugar' more friendly to the 'datatype_realizer'
blanchet
parents: 55397
diff changeset
   661
            inductN);
51808
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   662
      in
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   663
        `(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
   664
      end;
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   665
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   666
    val induct_cases = quasi_unambiguous_case_names (maps (map name_of_ctr) ctrss);
52305
3f7b92017d71 avoid code duplication
blanchet
parents: 52304
diff changeset
   667
    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
   668
52305
3f7b92017d71 avoid code duplication
blanchet
parents: 52304
diff changeset
   669
    val xctrss = map2 (map2 (curry Term.list_comb)) ctrss xsss;
3f7b92017d71 avoid code duplication
blanchet
parents: 52304
diff changeset
   670
52306
blanchet
parents: 52305
diff changeset
   671
    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
   672
      let
52305
3f7b92017d71 avoid code duplication
blanchet
parents: 52304
diff changeset
   673
        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
   674
51843
899663644482 rationalized terminology (iterator = fold or rec, xxfoo = (co)foo or (un)foo)
blanchet
parents: 51842
diff changeset
   675
        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
   676
          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
   677
            (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
   678
52302
blanchet
parents: 52301
diff changeset
   679
        fun maybe_tick (T, U) u f =
blanchet
parents: 52301
diff changeset
   680
          if try (fst o HOLogic.dest_prodT) U = SOME T then
blanchet
parents: 52301
diff changeset
   681
            Term.lambda u (HOLogic.mk_prod (u, f $ u))
blanchet
parents: 52301
diff changeset
   682
          else
blanchet
parents: 52301
diff changeset
   683
            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
   684
52368
blanchet
parents: 52367
diff changeset
   685
        fun build_iter (x as Free (_, T)) U =
blanchet
parents: 52367
diff changeset
   686
          if T = U then
blanchet
parents: 52367
diff changeset
   687
            x
blanchet
parents: 52367
diff changeset
   688
          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
   689
            build_map lthy (indexify (perhaps (try (snd o HOLogic.dest_prodT)) o snd) Cs
52368
blanchet
parents: 52367
diff changeset
   690
              (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
   691
52868
cca9e958da5c export ML function (for primcorec)
blanchet
parents: 52823
diff changeset
   692
        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
   693
52306
blanchet
parents: 52305
diff changeset
   694
        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
   695
52305
3f7b92017d71 avoid code duplication
blanchet
parents: 52304
diff changeset
   696
        val tacss =
55803
74d3fe9031d8 joint work with blanchet: intermediate typedef for the input to fp-operations
traytel
parents: 55772
diff changeset
   697
          map4 (map ooo mk_iter_tac pre_map_defs (nested_map_idents @ nesting_map_idents) iter_defs)
74d3fe9031d8 joint work with blanchet: intermediate typedef for the input to fp-operations
traytel
parents: 55772
diff changeset
   698
            ctor_iter_thms fp_abs_inverses abs_inverses 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
   699
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   700
        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
   701
          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
   702
          |> 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
   703
      in
52305
3f7b92017d71 avoid code duplication
blanchet
parents: 52304
diff changeset
   704
        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
   705
      end;
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   706
52340
blanchet
parents: 52339
diff changeset
   707
    val fold_thmss = mk_iter_thmss fold_args_types folds fold_defs (map un_fold_of ctor_iter_thmss);
blanchet
parents: 52339
diff changeset
   708
    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
   709
  in
52345
blanchet
parents: 52344
diff changeset
   710
    ((induct_thms, induct_thm, [induct_case_names_attr]),
54145
297d1c603999 make sure that registered code equations are actually equations
blanchet
parents: 54107
diff changeset
   711
     (fold_thmss, rec_thmss, code_nitpicksimp_attrs @ simp_attrs))
51808
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   712
  end;
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   713
52347
ead18e3b2c1b changed back type of corecursor for nested case, effectively reverting aa66ea552357 and 78a3d5006cf1
blanchet
parents: 52346
diff changeset
   714
fun derive_coinduct_coiters_thms_for_types pre_bnfs (z, cs, cpss,
52869
blanchet
parents: 52868
diff changeset
   715
      coiters_args_types as [((pgss, crgsss), _), ((phss, cshsss), _)])
54235
blanchet
parents: 54171
diff changeset
   716
    dtor_coinduct dtor_injects dtor_ctors dtor_coiter_thmss nesting_bnfs fpTs Cs Xs ctrXs_Tsss kss
55803
74d3fe9031d8 joint work with blanchet: intermediate typedef for the input to fp-operations
traytel
parents: 55772
diff changeset
   717
    mss ns fp_abs_inverses abs_inverses mk_vimage2p ctr_defss (ctr_sugars : ctr_sugar list)
74d3fe9031d8 joint work with blanchet: intermediate typedef for the input to fp-operations
traytel
parents: 55772
diff changeset
   718
    coiterss coiter_defss export_args lthy =
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   719
  let
53203
222ea6acbdd6 moved derivation of ctor_dtor_unfold to sugar (streamlines fp_result interface)
traytel
parents: 53143
diff changeset
   720
    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
   721
      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
   722
222ea6acbdd6 moved derivation of ctor_dtor_unfold to sugar (streamlines fp_result interface)
traytel
parents: 53143
diff changeset
   723
    val ctor_dtor_coiter_thmss =
222ea6acbdd6 moved derivation of ctor_dtor_unfold to sugar (streamlines fp_result interface)
traytel
parents: 53143
diff changeset
   724
      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
   725
52339
blanchet
parents: 52338
diff changeset
   726
    val coiterss' = transpose coiterss;
blanchet
parents: 52338
diff changeset
   727
    val coiter_defss' = transpose coiter_defss;
blanchet
parents: 52338
diff changeset
   728
blanchet
parents: 52338
diff changeset
   729
    val [unfold_defs, corec_defs] = coiter_defss';
52338
blanchet
parents: 52337
diff changeset
   730
51815
efacb9b99865 tune signatures
blanchet
parents: 51814
diff changeset
   731
    val nn = length pre_bnfs;
efacb9b99865 tune signatures
blanchet
parents: 51814
diff changeset
   732
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   733
    val pre_map_defs = map map_def_of_bnf pre_bnfs;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   734
    val pre_rel_defs = map rel_def_of_bnf pre_bnfs;
53329
c31c0c311cf0 more canonical naming
blanchet
parents: 53290
diff changeset
   735
    val nesting_map_idents = map (unfold_thms lthy [id_def] o map_id0_of_bnf) nesting_bnfs;
51830
blanchet
parents: 51829
diff changeset
   736
    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
   737
51816
5f1dec4297da use base names, not full names
blanchet
parents: 51815
diff changeset
   738
    val fp_b_names = map base_name_of_typ fpTs;
51811
1461426e2bf1 tuned function signatures
blanchet
parents: 51810
diff changeset
   739
53210
7219c61796c0 simplify code (now that ctr_sugar uses the same type variables as fp_sugar)
blanchet
parents: 53203
diff changeset
   740
    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
   741
    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
   742
    val selsss = map #selss ctr_sugars;
51840
b304fb6c5ef5 renamed records
blanchet
parents: 51839
diff changeset
   743
    val exhausts = map #exhaust ctr_sugars;
b304fb6c5ef5 renamed records
blanchet
parents: 51839
diff changeset
   744
    val disc_thmsss = map #disc_thmss ctr_sugars;
b304fb6c5ef5 renamed records
blanchet
parents: 51839
diff changeset
   745
    val discIss = map #discIs ctr_sugars;
b304fb6c5ef5 renamed records
blanchet
parents: 51839
diff changeset
   746
    val sel_thmsss = map #sel_thmss ctr_sugars;
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   747
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   748
    val (((rs, us'), vs'), names_lthy) =
52341
blanchet
parents: 52340
diff changeset
   749
      lthy
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   750
      |> mk_Frees "R" (map (fn T => mk_pred2T T T) fpTs)
51816
5f1dec4297da use base names, not full names
blanchet
parents: 51815
diff changeset
   751
      ||>> Variable.variant_fixes fp_b_names
5f1dec4297da use base names, not full names
blanchet
parents: 51815
diff changeset
   752
      ||>> Variable.variant_fixes (map (suffix "'") fp_b_names);
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   753
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   754
    val us = map2 (curry Free) us' fpTs;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   755
    val udiscss = map2 (map o rapp) us discss;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   756
    val uselsss = map2 (map o map o rapp) us selsss;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   757
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   758
    val vs = map2 (curry Free) vs' fpTs;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   759
    val vdiscss = map2 (map o rapp) vs discss;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   760
    val vselsss = map2 (map o map o rapp) vs selsss;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   761
52345
blanchet
parents: 52344
diff changeset
   762
    val coinduct_thms_pairs =
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   763
      let
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   764
        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
   765
        val uv_eqs = map2 (curry HOLogic.mk_eq) us vs;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   766
        val strong_rs =
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   767
          map4 (fn u => fn v => fn uvr => fn uv_eq =>
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   768
            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
   769
54237
7cc6e286fe28 made sugared 'coinduct' theorem construction n2m-proof
blanchet
parents: 54236
diff changeset
   770
        fun build_the_rel rs' T Xs_T =
7cc6e286fe28 made sugared 'coinduct' theorem construction n2m-proof
blanchet
parents: 54236
diff changeset
   771
          build_rel lthy (fn (_, X) => nth rs' (find_index (curry (op =) X) Xs)) (T, Xs_T)
7cc6e286fe28 made sugared 'coinduct' theorem construction n2m-proof
blanchet
parents: 54236
diff changeset
   772
          |> Term.subst_atomic_types (Xs ~~ fpTs);
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   773
54237
7cc6e286fe28 made sugared 'coinduct' theorem construction n2m-proof
blanchet
parents: 54236
diff changeset
   774
        fun build_rel_app rs' usel vsel Xs_T =
7cc6e286fe28 made sugared 'coinduct' theorem construction n2m-proof
blanchet
parents: 54236
diff changeset
   775
          fold rapp [usel, vsel] (build_the_rel rs' (fastype_of usel) Xs_T);
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   776
54237
7cc6e286fe28 made sugared 'coinduct' theorem construction n2m-proof
blanchet
parents: 54236
diff changeset
   777
        fun mk_prem_ctr_concls rs' n k udisc usels vdisc vsels ctrXs_Ts =
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   778
          (if k = n then [] else [HOLogic.mk_eq (udisc, vdisc)]) @
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   779
          (if null usels then
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   780
             []
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   781
           else
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   782
             [Library.foldr HOLogic.mk_imp (if n = 1 then [] else [udisc, vdisc],
54237
7cc6e286fe28 made sugared 'coinduct' theorem construction n2m-proof
blanchet
parents: 54236
diff changeset
   783
                Library.foldr1 HOLogic.mk_conj (map3 (build_rel_app rs') usels vsels ctrXs_Ts))]);
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   784
54237
7cc6e286fe28 made sugared 'coinduct' theorem construction n2m-proof
blanchet
parents: 54236
diff changeset
   785
        fun mk_prem_concl rs' n udiscs uselss vdiscs vselss ctrXs_Tss =
7cc6e286fe28 made sugared 'coinduct' theorem construction n2m-proof
blanchet
parents: 54236
diff changeset
   786
          Library.foldr1 HOLogic.mk_conj (flat (map6 (mk_prem_ctr_concls rs' n)
7cc6e286fe28 made sugared 'coinduct' theorem construction n2m-proof
blanchet
parents: 54236
diff changeset
   787
            (1 upto n) udiscs uselss vdiscs vselss ctrXs_Tss))
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   788
          handle List.Empty => @{term True};
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   789
54237
7cc6e286fe28 made sugared 'coinduct' theorem construction n2m-proof
blanchet
parents: 54236
diff changeset
   790
        fun mk_prem rs' uvr u v n udiscs uselss vdiscs vselss ctrXs_Tss =
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   791
          fold_rev Logic.all [u, v] (Logic.mk_implies (HOLogic.mk_Trueprop uvr,
54237
7cc6e286fe28 made sugared 'coinduct' theorem construction n2m-proof
blanchet
parents: 54236
diff changeset
   792
            HOLogic.mk_Trueprop (mk_prem_concl rs' n udiscs uselss vdiscs vselss ctrXs_Tss)));
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   793
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   794
        val concl =
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   795
          HOLogic.mk_Trueprop (Library.foldr1 HOLogic.mk_conj
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   796
            (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
   797
               uvrs us vs));
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   798
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   799
        fun mk_goal rs' =
54237
7cc6e286fe28 made sugared 'coinduct' theorem construction n2m-proof
blanchet
parents: 54236
diff changeset
   800
          Logic.list_implies (map9 (mk_prem rs') uvrs us vs ns udiscss uselsss vdiscss vselsss
7cc6e286fe28 made sugared 'coinduct' theorem construction n2m-proof
blanchet
parents: 54236
diff changeset
   801
            ctrXs_Tsss, concl);
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   802
52345
blanchet
parents: 52344
diff changeset
   803
        val goals = map mk_goal [rs, strong_rs];
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   804
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   805
        fun prove dtor_coinduct' goal =
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   806
          Goal.prove_sorry lthy [] [] goal (fn {context = ctxt, ...} =>
55803
74d3fe9031d8 joint work with blanchet: intermediate typedef for the input to fp-operations
traytel
parents: 55772
diff changeset
   807
            mk_coinduct_tac ctxt nesting_rel_eqs nn ns dtor_coinduct' pre_rel_defs fp_abs_inverses
74d3fe9031d8 joint work with blanchet: intermediate typedef for the input to fp-operations
traytel
parents: 55772
diff changeset
   808
              abs_inverses dtor_ctors exhausts ctr_defss disc_thmsss sel_thmsss)
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   809
          |> singleton (Proof_Context.export names_lthy lthy)
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   810
          |> Thm.close_derivation;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   811
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   812
        fun postproc nn thm =
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   813
          Thm.permute_prems 0 nn
51828
67c6d6136915 whitespace tuning
blanchet
parents: 51827
diff changeset
   814
            (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
   815
          |> Drule.zero_var_indexes
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   816
          |> `(conj_dests nn);
53106
d81211f61a1b moved derivation of strong coinduction to sugar
traytel
parents: 53037
diff changeset
   817
d81211f61a1b moved derivation of strong coinduction to sugar
traytel
parents: 53037
diff changeset
   818
        val rel_eqs = map rel_eq_of_bnf pre_bnfs;
d81211f61a1b moved derivation of strong coinduction to sugar
traytel
parents: 53037
diff changeset
   819
        val rel_monos = map rel_mono_of_bnf pre_bnfs;
d81211f61a1b moved derivation of strong coinduction to sugar
traytel
parents: 53037
diff changeset
   820
        val dtor_coinducts =
55803
74d3fe9031d8 joint work with blanchet: intermediate typedef for the input to fp-operations
traytel
parents: 55772
diff changeset
   821
          [dtor_coinduct, mk_strong_coinduct_thm dtor_coinduct rel_eqs rel_monos mk_vimage2p lthy]
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   822
      in
52345
blanchet
parents: 52344
diff changeset
   823
        map2 (postproc nn oo prove) dtor_coinducts goals
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   824
      end;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   825
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   826
    fun mk_coinduct_concls ms discs ctrs =
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   827
      let
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   828
        fun mk_disc_concl disc = [name_of_disc disc];
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   829
        fun mk_ctr_concl 0 _ = []
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   830
          | mk_ctr_concl _ ctor = [name_of_ctr ctor];
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   831
        val disc_concls = map mk_disc_concl (fst (split_last discs)) @ [[]];
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   832
        val ctr_concls = map2 mk_ctr_concl ms ctrs;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   833
      in
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   834
        flat (map2 append disc_concls ctr_concls)
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   835
      end;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   836
51816
5f1dec4297da use base names, not full names
blanchet
parents: 51815
diff changeset
   837
    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
   838
    val coinduct_conclss =
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   839
      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
   840
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   841
    fun mk_maybe_not pos = not pos ? HOLogic.mk_not;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   842
52339
blanchet
parents: 52338
diff changeset
   843
    val fcoiterss' as [gunfolds, hcorecs] =
52869
blanchet
parents: 52868
diff changeset
   844
      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
   845
54030
732b53d9b720 don't register equations of the form 'f x = ...' as simp rules, even if they are safe (noncorecursive), because they unfold too aggresively concepts users are likely to want to stay folded
blanchet
parents: 54006
diff changeset
   846
    val (unfold_thmss, corec_thmss) =
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   847
      let
51843
899663644482 rationalized terminology (iterator = fold or rec, xxfoo = (co)foo or (un)foo)
blanchet
parents: 51842
diff changeset
   848
        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
   849
          fold_rev (fold_rev Logic.all) ([c] :: pfss)
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   850
            (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
   851
               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
   852
52347
ead18e3b2c1b changed back type of corecursor for nested case, effectively reverting aa66ea552357 and 78a3d5006cf1
blanchet
parents: 52346
diff changeset
   853
        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
   854
          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
   855
ead18e3b2c1b changed back type of corecursor for nested case, effectively reverting aa66ea552357 and 78a3d5006cf1
blanchet
parents: 52346
diff changeset
   856
        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
   857
          let val z = Free (z_name, mk_sumT (fastype_of u, fastype_of c)) in
55414
eab03e9cee8a renamed '{prod,sum,bool,unit}_case' to 'case_...'
blanchet
parents: 55410
diff changeset
   858
            Term.lambda z (mk_case_sum (Term.lambda u u, Term.lambda c (f $ c)) $ z)
52347
ead18e3b2c1b changed back type of corecursor for nested case, effectively reverting aa66ea552357 and 78a3d5006cf1
blanchet
parents: 52346
diff changeset
   859
          end;
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   860
52368
blanchet
parents: 52367
diff changeset
   861
        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
   862
          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
   863
            if exists_subtype_in Cs T then
52368
blanchet
parents: 52367
diff changeset
   864
              let val U = mk_U maybe_mk_sumT T in
55483
f223445a4d0c tuned code to allow mutualized corecursion through different functions with the same target type
blanchet
parents: 55480
diff changeset
   865
                build_map lthy (indexify fst (map2 maybe_mk_sumT fpTs Cs) (fn kk => fn _ =>
52368
blanchet
parents: 52367
diff changeset
   866
                  maybe_tack (nth cs kk, nth us kk) (nth fcoiters kk))) (T, U) $ cqf
blanchet
parents: 52367
diff changeset
   867
              end
52347
ead18e3b2c1b changed back type of corecursor for nested case, effectively reverting aa66ea552357 and 78a3d5006cf1
blanchet
parents: 52346
diff changeset
   868
            else
ead18e3b2c1b changed back type of corecursor for nested case, effectively reverting aa66ea552357 and 78a3d5006cf1
blanchet
parents: 52346
diff changeset
   869
              cqf
ead18e3b2c1b changed back type of corecursor for nested case, effectively reverting aa66ea552357 and 78a3d5006cf1
blanchet
parents: 52346
diff changeset
   870
          end;
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   871
52368
blanchet
parents: 52367
diff changeset
   872
        val crgsss' = map (map (map (build_coiter (un_fold_of fcoiterss') (K I) (K I)))) crgsss;
blanchet
parents: 52367
diff changeset
   873
        val cshsss' = map (map (map (build_coiter (co_rec_of fcoiterss') (curry mk_sumT) (tack z))))
52351
blanchet
parents: 52349
diff changeset
   874
          cshsss;
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   875
52347
ead18e3b2c1b changed back type of corecursor for nested case, effectively reverting aa66ea552357 and 78a3d5006cf1
blanchet
parents: 52346
diff changeset
   876
        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
   877
        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
   878
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   879
        val unfold_tacss =
55803
74d3fe9031d8 joint work with blanchet: intermediate typedef for the input to fp-operations
traytel
parents: 55772
diff changeset
   880
          map4 (map ooo mk_coiter_tac unfold_defs nesting_map_idents)
74d3fe9031d8 joint work with blanchet: intermediate typedef for the input to fp-operations
traytel
parents: 55772
diff changeset
   881
            (map un_fold_of ctor_dtor_coiter_thmss) pre_map_defs abs_inverses ctr_defss;
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   882
        val corec_tacss =
55803
74d3fe9031d8 joint work with blanchet: intermediate typedef for the input to fp-operations
traytel
parents: 55772
diff changeset
   883
          map4 (map ooo mk_coiter_tac corec_defs nesting_map_idents)
74d3fe9031d8 joint work with blanchet: intermediate typedef for the input to fp-operations
traytel
parents: 55772
diff changeset
   884
            (map co_rec_of ctor_dtor_coiter_thmss) pre_map_defs abs_inverses ctr_defss;
51810
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 prove goal tac =
51815
efacb9b99865 tune signatures
blanchet
parents: 51814
diff changeset
   887
          Goal.prove_sorry lthy [] [] goal (tac o #context)
efacb9b99865 tune signatures
blanchet
parents: 51814
diff changeset
   888
          |> Thm.close_derivation;
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   889
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   890
        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
   891
        val corec_thmss =
ead18e3b2c1b changed back type of corecursor for nested case, effectively reverting aa66ea552357 and 78a3d5006cf1
blanchet
parents: 52346
diff changeset
   892
          map2 (map2 prove) corec_goalss corec_tacss
55414
eab03e9cee8a renamed '{prod,sum,bool,unit}_case' to 'case_...'
blanchet
parents: 55410
diff changeset
   893
          |> map (map (unfold_thms lthy @{thms case_sum_if}));
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   894
      in
54030
732b53d9b720 don't register equations of the form 'f x = ...' as simp rules, even if they are safe (noncorecursive), because they unfold too aggresively concepts users are likely to want to stay folded
blanchet
parents: 54006
diff changeset
   895
        (unfold_thmss, corec_thmss)
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   896
      end;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   897
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   898
    val (disc_unfold_iff_thmss, disc_corec_iff_thmss) =
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   899
      let
51843
899663644482 rationalized terminology (iterator = fold or rec, xxfoo = (co)foo or (un)foo)
blanchet
parents: 51842
diff changeset
   900
        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
   901
          mk_Trueprop_eq (disc $ (fcoiter $ c),
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   902
            if n = 1 then @{const True}
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   903
            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
   904
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   905
        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
   906
        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
   907
51828
67c6d6136915 whitespace tuning
blanchet
parents: 51827
diff changeset
   908
        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
   909
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   910
        val case_splitss' = map (map mk_case_split') cpss;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   911
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   912
        val unfold_tacss =
51843
899663644482 rationalized terminology (iterator = fold or rec, xxfoo = (co)foo or (un)foo)
blanchet
parents: 51842
diff changeset
   913
          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
   914
        val corec_tacss =
51843
899663644482 rationalized terminology (iterator = fold or rec, xxfoo = (co)foo or (un)foo)
blanchet
parents: 51842
diff changeset
   915
          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
   916
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   917
        fun prove goal tac =
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   918
          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
   919
          |> singleton export_args
51829
3cc93eeac8cc signature tuning
blanchet
parents: 51828
diff changeset
   920
          |> singleton (Proof_Context.export names_lthy lthy)
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   921
          |> Thm.close_derivation;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   922
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   923
        fun proves [_] [_] = []
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   924
          | proves goals tacs = map2 prove goals tacs;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   925
      in
51828
67c6d6136915 whitespace tuning
blanchet
parents: 51827
diff changeset
   926
        (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
   927
      end;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   928
53741
c9068aade859 killed exceptional code that is anyway no longer needed, now that the 'simp' attribute has been taken away -- this solves issues in 'primcorec'
blanchet
parents: 53701
diff changeset
   929
    fun mk_disc_coiter_thms coiters discIs = map (op RS) (coiters ~~ discIs);
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   930
51843
899663644482 rationalized terminology (iterator = fold or rec, xxfoo = (co)foo or (un)foo)
blanchet
parents: 51842
diff changeset
   931
    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
   932
    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
   933
51843
899663644482 rationalized terminology (iterator = fold or rec, xxfoo = (co)foo or (un)foo)
blanchet
parents: 51842
diff changeset
   934
    fun mk_sel_coiter_thm coiter_thm sel sel_thm =
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   935
      let
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   936
        val (domT, ranT) = dest_funT (fastype_of sel);
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   937
        val arg_cong' =
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   938
          Drule.instantiate' (map (SOME o certifyT lthy) [domT, ranT])
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   939
            [NONE, NONE, SOME (certify lthy sel)] arg_cong
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   940
          |> Thm.varifyT_global;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   941
        val sel_thm' = sel_thm RSN (2, trans);
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   942
      in
51843
899663644482 rationalized terminology (iterator = fold or rec, xxfoo = (co)foo or (un)foo)
blanchet
parents: 51842
diff changeset
   943
        coiter_thm RS arg_cong' RS sel_thm'
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   944
      end;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   945
52321
blanchet
parents: 52320
diff changeset
   946
    fun mk_sel_coiter_thms coiter_thmss =
53475
185ad6cf6576 enriched data structure with necessary theorems
blanchet
parents: 53329
diff changeset
   947
      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
   948
53475
185ad6cf6576 enriched data structure with necessary theorems
blanchet
parents: 53329
diff changeset
   949
    val sel_unfold_thmsss = mk_sel_coiter_thms unfold_thmss;
185ad6cf6576 enriched data structure with necessary theorems
blanchet
parents: 53329
diff changeset
   950
    val sel_corec_thmsss = mk_sel_coiter_thms corec_thmss;
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   951
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   952
    val coinduct_consumes_attr = Attrib.internal (K (Rule_Cases.consumes nn));
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   953
    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
   954
    val coinduct_case_concl_attrs =
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   955
      map2 (fn casex => fn concls =>
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   956
          Attrib.internal (K (Rule_Cases.case_conclusion (casex, concls))))
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   957
        coinduct_cases coinduct_conclss;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   958
    val coinduct_case_attrs =
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   959
      coinduct_consumes_attr :: coinduct_case_names_attr :: coinduct_case_concl_attrs;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   960
  in
52345
blanchet
parents: 52344
diff changeset
   961
    ((coinduct_thms_pairs, coinduct_case_attrs),
54145
297d1c603999 make sure that registered code equations are actually equations
blanchet
parents: 54107
diff changeset
   962
     (unfold_thmss, corec_thmss, code_nitpicksimp_attrs),
53701
0643a443bb63 removed spurious "simp"
blanchet
parents: 53694
diff changeset
   963
     (disc_unfold_thmss, disc_corec_thmss, []),
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   964
     (disc_unfold_iff_thmss, disc_corec_iff_thmss, simp_attrs),
53475
185ad6cf6576 enriched data structure with necessary theorems
blanchet
parents: 53329
diff changeset
   965
     (sel_unfold_thmsss, sel_corec_thmsss, simp_attrs))
51810
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
52207
21026c312cc3 tuning -- avoided unreadable true/false all over the place for LFP/GFP
blanchet
parents: 52197
diff changeset
   968
fun define_co_datatypes prepare_constraint prepare_typ prepare_term fp construct_fp
55410
54b09e82b9e1 killed 'rep_compat' option
blanchet
parents: 55409
diff changeset
   969
    (wrap_opts as (no_discs_sels, _), specs) no_defs_lthy0 =
49112
4de4635d8f93 started work on sugared "(co)data" commands
blanchet
parents:
diff changeset
   970
  let
49298
36e551d3af3b support for sort constraints in new (co)data commands
blanchet
parents: 49297
diff changeset
   971
    (* TODO: sanity checks on arguments *)
36e551d3af3b support for sort constraints in new (co)data commands
blanchet
parents: 49297
diff changeset
   972
52969
f2df0730f8ac clarified option name (since case/fold/rec are also destructors)
blanchet
parents: 52968
diff changeset
   973
    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
   974
        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
   975
      else
21026c312cc3 tuning -- avoided unreadable true/false all over the place for LFP/GFP
blanchet
parents: 52197
diff changeset
   976
        ();
49278
718e4ad1517e added no_dests option
blanchet
parents: 49277
diff changeset
   977
49367
blanchet
parents: 49366
diff changeset
   978
    val nn = length specs;
55469
b19dd108f0c2 aligned the syntax for 'free_constructors' on the 'datatype_new' and 'codatatype' syntax
blanchet
parents: 55468
diff changeset
   979
    val fp_bs = map type_binding_of_spec specs;
49498
acc583e14167 tuned variable names
blanchet
parents: 49484
diff changeset
   980
    val fp_b_names = map Binding.name_of fp_bs;
acc583e14167 tuned variable names
blanchet
parents: 49484
diff changeset
   981
    val fp_common_name = mk_common_name fp_b_names;
55469
b19dd108f0c2 aligned the syntax for 'free_constructors' on the 'datatype_new' and 'codatatype' syntax
blanchet
parents: 55468
diff changeset
   982
    val map_bs = map map_binding_of_spec specs;
b19dd108f0c2 aligned the syntax for 'free_constructors' on the 'datatype_new' and 'codatatype' syntax
blanchet
parents: 55468
diff changeset
   983
    val rel_bs = map rel_binding_of_spec specs;
49298
36e551d3af3b support for sort constraints in new (co)data commands
blanchet
parents: 49297
diff changeset
   984
51758
55963309557b honor user-specified name for map function
blanchet
parents: 51757
diff changeset
   985
    fun prepare_type_arg (_, (ty, c)) =
49298
36e551d3af3b support for sort constraints in new (co)data commands
blanchet
parents: 49297
diff changeset
   986
      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
   987
        TFree (s, prepare_constraint no_defs_lthy0 c)
36e551d3af3b support for sort constraints in new (co)data commands
blanchet
parents: 49297
diff changeset
   988
      end;
36e551d3af3b support for sort constraints in new (co)data commands
blanchet
parents: 49297
diff changeset
   989
55469
b19dd108f0c2 aligned the syntax for 'free_constructors' on the 'datatype_new' and 'codatatype' syntax
blanchet
parents: 55468
diff changeset
   990
    val Ass0 = map (map prepare_type_arg o type_args_named_constrained_of_spec) specs;
49298
36e551d3af3b support for sort constraints in new (co)data commands
blanchet
parents: 49297
diff changeset
   991
    val unsorted_Ass0 = map (map (resort_tfree HOLogic.typeS)) Ass0;
55700
cf6a029b28d8 more precise error message
blanchet
parents: 55699
diff changeset
   992
    val unsorted_As = Library.foldr1 (merge_type_args fp) unsorted_Ass0;
53266
89f7f1cc9ae3 cleaner handling of bootstrapping "fake" context, with fewer (no?) obscure bugs
blanchet
parents: 53264
diff changeset
   993
    val num_As = length unsorted_As;
55699
1f9cc432ecd4 reuse same parser for '(co)datatype(_new)' as for 'bnf_decl'
blanchet
parents: 55575
diff changeset
   994
1f9cc432ecd4 reuse same parser for '(co)datatype(_new)' as for 'bnf_decl'
blanchet
parents: 55575
diff changeset
   995
    val set_boss = map (map fst o type_args_named_constrained_of_spec) specs;
1f9cc432ecd4 reuse same parser for '(co)datatype(_new)' as for 'bnf_decl'
blanchet
parents: 55575
diff changeset
   996
    val set_bss = map (map (the_default Binding.empty)) set_boss;
49119
1f605c36869c more work on FP sugar
blanchet
parents: 49112
diff changeset
   997
49585
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
   998
    val (((Bs0, Cs), Xs), no_defs_lthy) =
49298
36e551d3af3b support for sort constraints in new (co)data commands
blanchet
parents: 49297
diff changeset
   999
      no_defs_lthy0
36e551d3af3b support for sort constraints in new (co)data commands
blanchet
parents: 49297
diff changeset
  1000
      |> 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
  1001
      |> mk_TFrees num_As
49585
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
  1002
      ||>> mk_TFrees nn
51858
7a08fe1e19b1 added and moved library functions (used in primrec code)
blanchet
parents: 51857
diff changeset
  1003
      ||>> variant_tfrees fp_b_names;
49119
1f605c36869c more work on FP sugar
blanchet
parents: 49112
diff changeset
  1004
55469
b19dd108f0c2 aligned the syntax for 'free_constructors' on the 'datatype_new' and 'codatatype' syntax
blanchet
parents: 55468
diff changeset
  1005
    fun add_fake_type spec =
b19dd108f0c2 aligned the syntax for 'free_constructors' on the 'datatype_new' and 'codatatype' syntax
blanchet
parents: 55468
diff changeset
  1006
      Typedecl.basic_typedecl (type_binding_of_spec spec, num_As, mixfix_of_spec spec);
51768
d2a236b10796 proper error generated for wrong mixfix
blanchet
parents: 51767
diff changeset
  1007
53268
de1dc709f9d4 handle type class annotations on (co)datatype parameters gracefully
blanchet
parents: 53266
diff changeset
  1008
    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
  1009
53262
23927b18dce2 rationalize message generation + added a warning
blanchet
parents: 53260
diff changeset
  1010
    val qsoty = quote o Syntax.string_of_typ fake_lthy;
23927b18dce2 rationalize message generation + added a warning
blanchet
parents: 53260
diff changeset
  1011
54253
04cd231e2b9e nicer error message in case of duplicates
blanchet
parents: 54243
diff changeset
  1012
    val _ = (case Library.duplicates (op =) unsorted_As of [] => ()
53262
23927b18dce2 rationalize message generation + added a warning
blanchet
parents: 53260
diff changeset
  1013
      | A :: _ => error ("Duplicate type parameter " ^ qsoty A ^ " in " ^ co_prefix fp ^
23927b18dce2 rationalize message generation + added a warning
blanchet
parents: 53260
diff changeset
  1014
          "datatype specification"));
23927b18dce2 rationalize message generation + added a warning
blanchet
parents: 53260
diff changeset
  1015
23927b18dce2 rationalize message generation + added a warning
blanchet
parents: 53260
diff changeset
  1016
    val bad_args =
23927b18dce2 rationalize message generation + added a warning
blanchet
parents: 53260
diff changeset
  1017
      map (Logic.type_map (singleton (Variable.polymorphic no_defs_lthy0))) unsorted_As
23927b18dce2 rationalize message generation + added a warning
blanchet
parents: 53260
diff changeset
  1018
      |> filter_out Term.is_TVar;
23927b18dce2 rationalize message generation + added a warning
blanchet
parents: 53260
diff changeset
  1019
    val _ = null bad_args orelse
23927b18dce2 rationalize message generation + added a warning
blanchet
parents: 53260
diff changeset
  1020
      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
  1021
        "datatype specification");
23927b18dce2 rationalize message generation + added a warning
blanchet
parents: 53260
diff changeset
  1022
55469
b19dd108f0c2 aligned the syntax for 'free_constructors' on the 'datatype_new' and 'codatatype' syntax
blanchet
parents: 55468
diff changeset
  1023
    val mixfixes = map mixfix_of_spec specs;
49119
1f605c36869c more work on FP sugar
blanchet
parents: 49112
diff changeset
  1024
54253
04cd231e2b9e nicer error message in case of duplicates
blanchet
parents: 54243
diff changeset
  1025
    val _ = (case Library.duplicates Binding.eq_name fp_bs of [] => ()
49119
1f605c36869c more work on FP sugar
blanchet
parents: 49112
diff changeset
  1026
      | b :: _ => error ("Duplicate type name declaration " ^ quote (Binding.name_of b)));
1f605c36869c more work on FP sugar
blanchet
parents: 49112
diff changeset
  1027
55469
b19dd108f0c2 aligned the syntax for 'free_constructors' on the 'datatype_new' and 'codatatype' syntax
blanchet
parents: 55468
diff changeset
  1028
    val mx_ctr_specss = map mixfixed_ctr_specs_of_spec specs;
b19dd108f0c2 aligned the syntax for 'free_constructors' on the 'datatype_new' and 'codatatype' syntax
blanchet
parents: 55468
diff changeset
  1029
    val ctr_specss = map (map fst) mx_ctr_specss;
b19dd108f0c2 aligned the syntax for 'free_constructors' on the 'datatype_new' and 'codatatype' syntax
blanchet
parents: 55468
diff changeset
  1030
    val ctr_mixfixess = map (map snd) mx_ctr_specss;
49119
1f605c36869c more work on FP sugar
blanchet
parents: 49112
diff changeset
  1031
55469
b19dd108f0c2 aligned the syntax for 'free_constructors' on the 'datatype_new' and 'codatatype' syntax
blanchet
parents: 55468
diff changeset
  1032
    val disc_bindingss = map (map disc_of_ctr_spec) ctr_specss;
49336
blanchet
parents: 49330
diff changeset
  1033
    val ctr_bindingss =
55469
b19dd108f0c2 aligned the syntax for 'free_constructors' on the 'datatype_new' and 'codatatype' syntax
blanchet
parents: 55468
diff changeset
  1034
      map2 (fn fp_b_name => map (Binding.qualify false fp_b_name o ctr_of_ctr_spec)) fp_b_names
b19dd108f0c2 aligned the syntax for 'free_constructors' on the 'datatype_new' and 'codatatype' syntax
blanchet
parents: 55468
diff changeset
  1035
        ctr_specss;
b19dd108f0c2 aligned the syntax for 'free_constructors' on the 'datatype_new' and 'codatatype' syntax
blanchet
parents: 55468
diff changeset
  1036
    val ctr_argsss = map (map args_of_ctr_spec) ctr_specss;
49119
1f605c36869c more work on FP sugar
blanchet
parents: 49112
diff changeset
  1037
49336
blanchet
parents: 49330
diff changeset
  1038
    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
  1039
    val fake_ctr_Tsss0 = map (map (map (prepare_typ fake_lthy o snd))) ctr_argsss;
55469
b19dd108f0c2 aligned the syntax for 'free_constructors' on the 'datatype_new' and 'codatatype' syntax
blanchet
parents: 55468
diff changeset
  1040
    val raw_sel_defaultsss = map (map sel_defaults_of_ctr_spec) ctr_specss;
49286
dde4967c9233 added "defaults" option
blanchet
parents: 49280
diff changeset
  1041
49308
6190b701e4f4 reorganized dependencies so that the sugar does not depend on GFP -- this will be essential for bootstrapping
blanchet
parents: 49302
diff changeset
  1042
    val (As :: _) :: fake_ctr_Tsss =
49298
36e551d3af3b support for sort constraints in new (co)data commands
blanchet
parents: 49297
diff changeset
  1043
      burrow (burrow (Syntax.check_typs fake_lthy)) (Ass0 :: fake_ctr_Tsss0);
53262
23927b18dce2 rationalize message generation + added a warning
blanchet
parents: 53260
diff changeset
  1044
    val As' = map dest_TFree As;
49298
36e551d3af3b support for sort constraints in new (co)data commands
blanchet
parents: 49297
diff changeset
  1045
49183
0cc46e2dee7e careful about constructor types w.r.t. fake context (third step of localization)
blanchet
parents: 49182
diff changeset
  1046
    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
  1047
    val _ = (case subtract (op =) As' rhs_As' of [] => ()
23927b18dce2 rationalize message generation + added a warning
blanchet
parents: 53260
diff changeset
  1048
      | extras => error ("Extra type variables on right-hand side: " ^
23927b18dce2 rationalize message generation + added a warning
blanchet
parents: 53260
diff changeset
  1049
          commas (map (qsoty o TFree) extras)));
49165
c6ccaf6df93c check type variables on rhs
blanchet
parents: 49161
diff changeset
  1050
53268
de1dc709f9d4 handle type class annotations on (co)datatype parameters gracefully
blanchet
parents: 53266
diff changeset
  1051
    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
  1052
53262
23927b18dce2 rationalize message generation + added a warning
blanchet
parents: 53260
diff changeset
  1053
    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
  1054
        s = s' andalso (Ts = Ts' orelse
23927b18dce2 rationalize message generation + added a warning
blanchet
parents: 53260
diff changeset
  1055
          error ("Wrong type arguments in " ^ co_prefix fp ^ "recursive type " ^ qsoty T ^
23927b18dce2 rationalize message generation + added a warning
blanchet
parents: 53260
diff changeset
  1056
            " (expected " ^ qsoty T' ^ ")"))
49591
91b228e26348 generate high-level "coinduct" and "strong_coinduct" properties
blanchet
parents: 49590
diff changeset
  1057
      | eq_fpT_check _ _ = false;
49146
e32b1f748854 added a check
blanchet
parents: 49135
diff changeset
  1058
53222
8b159677efb5 better error message
blanchet
parents: 53221
diff changeset
  1059
    fun freeze_fp (T as Type (s, Ts)) =
49591
91b228e26348 generate high-level "coinduct" and "strong_coinduct" properties
blanchet
parents: 49590
diff changeset
  1060
        (case find_index (eq_fpT_check T) fake_Ts of
53222
8b159677efb5 better error message
blanchet
parents: 53221
diff changeset
  1061
          ~1 => Type (s, map freeze_fp Ts)
49591
91b228e26348 generate high-level "coinduct" and "strong_coinduct" properties
blanchet
parents: 49590
diff changeset
  1062
        | kk => nth Xs kk)
49204
0b735fb2602e generate iter/rec goals
blanchet
parents: 49203
diff changeset
  1063
      | freeze_fp T = T;
49121
9e0acaa470ab more work on FP sugar
blanchet
parents: 49119
diff changeset
  1064
53222
8b159677efb5 better error message
blanchet
parents: 53221
diff changeset
  1065
    val unfreeze_fp = Term.typ_subst_atomic (Xs ~~ fake_Ts);
8b159677efb5 better error message
blanchet
parents: 53221
diff changeset
  1066
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
  1067
    val ctrXs_Tsss = map (map (map freeze_fp)) fake_ctr_Tsss;
55803
74d3fe9031d8 joint work with blanchet: intermediate typedef for the input to fp-operations
traytel
parents: 55772
diff changeset
  1068
    val ctrXs_repTs = map (mk_sumTN_balanced o map HOLogic.mk_tupleT) ctrXs_Tsss;
49119
1f605c36869c more work on FP sugar
blanchet
parents: 49112
diff changeset
  1069
49298
36e551d3af3b support for sort constraints in new (co)data commands
blanchet
parents: 49297
diff changeset
  1070
    val fp_eqs =
55803
74d3fe9031d8 joint work with blanchet: intermediate typedef for the input to fp-operations
traytel
parents: 55772
diff changeset
  1071
      map dest_TFree Xs ~~ map (Term.typ_subst_atomic (As ~~ unsorted_As)) ctrXs_repTs;
49121
9e0acaa470ab more work on FP sugar
blanchet
parents: 49119
diff changeset
  1072
53262
23927b18dce2 rationalize message generation + added a warning
blanchet
parents: 53260
diff changeset
  1073
    val rhsXs_As' = fold (fold (fold Term.add_tfreesT)) ctrXs_Tsss [];
23927b18dce2 rationalize message generation + added a warning
blanchet
parents: 53260
diff changeset
  1074
    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
  1075
      | 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
  1076
          co_prefix fp ^ "datatype definition: " ^ qsoty (TFree extra))) extras);
53262
23927b18dce2 rationalize message generation + added a warning
blanchet
parents: 53260
diff changeset
  1077
55701
38f75365fc2a added explicit killing
blanchet
parents: 55700
diff changeset
  1078
    val killed_As =
38f75365fc2a added explicit killing
blanchet
parents: 55700
diff changeset
  1079
      map_filter (fn (A, set_bos) => if exists is_none set_bos then SOME A else NONE)
38f75365fc2a added explicit killing
blanchet
parents: 55700
diff changeset
  1080
        (unsorted_As ~~ transpose set_boss);
38f75365fc2a added explicit killing
blanchet
parents: 55700
diff changeset
  1081
55803
74d3fe9031d8 joint work with blanchet: intermediate typedef for the input to fp-operations
traytel
parents: 55772
diff changeset
  1082
    val ((pre_bnfs, absT_infos), (fp_res as {bnfs = fp_bnfs as any_fp_bnf :: _, ctors = ctors0,
74d3fe9031d8 joint work with blanchet: intermediate typedef for the input to fp-operations
traytel
parents: 55772
diff changeset
  1083
             dtors = dtors0, xtor_co_iterss = xtor_co_iterss0, xtor_co_induct, dtor_ctors,
74d3fe9031d8 joint work with blanchet: intermediate typedef for the input to fp-operations
traytel
parents: 55772
diff changeset
  1084
             ctor_dtors, ctor_injects, dtor_injects, xtor_map_thms, xtor_set_thmss, xtor_rel_thms,
74d3fe9031d8 joint work with blanchet: intermediate typedef for the input to fp-operations
traytel
parents: 55772
diff changeset
  1085
             xtor_co_iter_thmss, ...},
53203
222ea6acbdd6 moved derivation of ctor_dtor_unfold to sugar (streamlines fp_result interface)
traytel
parents: 53143
diff changeset
  1086
           lthy)) =
55701
38f75365fc2a added explicit killing
blanchet
parents: 55700
diff changeset
  1087
      fp_bnf (construct_fp mixfixes map_bs rel_bs set_bss) fp_bs (map dest_TFree unsorted_As)
38f75365fc2a added explicit killing
blanchet
parents: 55700
diff changeset
  1088
        (map dest_TFree killed_As) fp_eqs no_defs_lthy0
53222
8b159677efb5 better error message
blanchet
parents: 53221
diff changeset
  1089
      handle BAD_DEAD (X, X_backdrop) =>
8b159677efb5 better error message
blanchet
parents: 53221
diff changeset
  1090
        (case X_backdrop of
8b159677efb5 better error message
blanchet
parents: 53221
diff changeset
  1091
          Type (bad_tc, _) =>
8b159677efb5 better error message
blanchet
parents: 53221
diff changeset
  1092
          let
8b159677efb5 better error message
blanchet
parents: 53221
diff changeset
  1093
            val fake_T = qsoty (unfreeze_fp X);
8b159677efb5 better error message
blanchet
parents: 53221
diff changeset
  1094
            val fake_T_backdrop = qsoty (unfreeze_fp X_backdrop);
8b159677efb5 better error message
blanchet
parents: 53221
diff changeset
  1095
            fun register_hint () =
8b159677efb5 better error message
blanchet
parents: 53221
diff changeset
  1096
              "\nUse the " ^ quote (fst (fst @{command_spec "bnf"})) ^ " command to register " ^
8b159677efb5 better error message
blanchet
parents: 53221
diff changeset
  1097
              quote bad_tc ^ " as a bounded natural functor to allow nested (co)recursion through \
8b159677efb5 better error message
blanchet
parents: 53221
diff changeset
  1098
              \it";
8b159677efb5 better error message
blanchet
parents: 53221
diff changeset
  1099
          in
8b159677efb5 better error message
blanchet
parents: 53221
diff changeset
  1100
            if is_some (bnf_of no_defs_lthy bad_tc) orelse
8b159677efb5 better error message
blanchet
parents: 53221
diff changeset
  1101
               is_some (fp_sugar_of no_defs_lthy bad_tc) then
53256
blanchet
parents: 53222
diff changeset
  1102
              error ("Inadmissible " ^ co_prefix fp ^ "recursive occurrence of type " ^ fake_T ^
blanchet
parents: 53222
diff changeset
  1103
                " in type expression " ^ fake_T_backdrop)
53222
8b159677efb5 better error message
blanchet
parents: 53221
diff changeset
  1104
            else if is_some (Datatype_Data.get_info (Proof_Context.theory_of no_defs_lthy)
8b159677efb5 better error message
blanchet
parents: 53221
diff changeset
  1105
                bad_tc) then
8b159677efb5 better error message
blanchet
parents: 53221
diff changeset
  1106
              error ("Unsupported " ^ co_prefix fp ^ "recursive occurrence of type " ^ fake_T ^
8b159677efb5 better error message
blanchet
parents: 53221
diff changeset
  1107
                " via the old-style datatype " ^ quote bad_tc ^ " in type expression " ^
8b159677efb5 better error message
blanchet
parents: 53221
diff changeset
  1108
                fake_T_backdrop ^ register_hint ())
8b159677efb5 better error message
blanchet
parents: 53221
diff changeset
  1109
            else
8b159677efb5 better error message
blanchet
parents: 53221
diff changeset
  1110
              error ("Unsupported " ^ co_prefix fp ^ "recursive occurrence of type " ^ fake_T ^
8b159677efb5 better error message
blanchet
parents: 53221
diff changeset
  1111
                " via type constructor " ^ quote bad_tc ^ " in type expression " ^ fake_T_backdrop ^
8b159677efb5 better error message
blanchet
parents: 53221
diff changeset
  1112
                register_hint ())
8b159677efb5 better error message
blanchet
parents: 53221
diff changeset
  1113
          end);
49585
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
  1114
55803
74d3fe9031d8 joint work with blanchet: intermediate typedef for the input to fp-operations
traytel
parents: 55772
diff changeset
  1115
    val abss = map #abs absT_infos;
74d3fe9031d8 joint work with blanchet: intermediate typedef for the input to fp-operations
traytel
parents: 55772
diff changeset
  1116
    val reps = map #rep absT_infos;
74d3fe9031d8 joint work with blanchet: intermediate typedef for the input to fp-operations
traytel
parents: 55772
diff changeset
  1117
    val absTs = map #absT absT_infos;
74d3fe9031d8 joint work with blanchet: intermediate typedef for the input to fp-operations
traytel
parents: 55772
diff changeset
  1118
    val repTs = map #repT absT_infos;
74d3fe9031d8 joint work with blanchet: intermediate typedef for the input to fp-operations
traytel
parents: 55772
diff changeset
  1119
    val abs_injects = map #abs_inject absT_infos;
74d3fe9031d8 joint work with blanchet: intermediate typedef for the input to fp-operations
traytel
parents: 55772
diff changeset
  1120
    val abs_inverses = map #abs_inverse absT_infos;
74d3fe9031d8 joint work with blanchet: intermediate typedef for the input to fp-operations
traytel
parents: 55772
diff changeset
  1121
    val type_definitions = map #type_definition absT_infos;
74d3fe9031d8 joint work with blanchet: intermediate typedef for the input to fp-operations
traytel
parents: 55772
diff changeset
  1122
53143
ba80154a1118 configuration option to control timing output for (co)datatypes
traytel
parents: 53126
diff changeset
  1123
    val time = time lthy;
49585
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
  1124
    val timer = time (Timer.startRealTimer ());
49121
9e0acaa470ab more work on FP sugar
blanchet
parents: 49119
diff changeset
  1125
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
  1126
    val nesting_bnfs = nesty_bnfs lthy ctrXs_Tsss As;
28063e412793 support induction principles with multiple occurrences of the same type in "fpTs" and (hopefully) with loss of recursion (e.g. primrec definition of is_nil, where the IH can be dropped)
blanchet
parents: 52309
diff changeset
  1127
    val nested_bnfs = nesty_bnfs lthy ctrXs_Tsss Xs;
49226
510c6d4a73ec fixed and enabled iterator/recursor theorems
blanchet
parents: 49224
diff changeset
  1128
49585
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
  1129
    val pre_map_defs = map map_def_of_bnf pre_bnfs;
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
  1130
    val pre_set_defss = map set_defs_of_bnf pre_bnfs;
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
  1131
    val pre_rel_defs = map rel_def_of_bnf pre_bnfs;
53290
b6c3be868217 renamed BNF fact
blanchet
parents: 53285
diff changeset
  1132
    val nesting_set_maps = maps set_map_of_bnf nesting_bnfs;
b6c3be868217 renamed BNF fact
blanchet
parents: 53285
diff changeset
  1133
    val nested_set_maps = maps set_map_of_bnf nested_bnfs;
49585
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
  1134
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
  1135
    val live = live_of_bnf any_fp_bnf;
52961
bb8787b20437 added warning
blanchet
parents: 52960
diff changeset
  1136
    val _ =
bb8787b20437 added warning
blanchet
parents: 52960
diff changeset
  1137
      if live = 0 andalso exists (not o Binding.is_empty) (map_bs @ rel_bs) then
53266
89f7f1cc9ae3 cleaner handling of bootstrapping "fake" context, with fewer (no?) obscure bugs
blanchet
parents: 53264
diff changeset
  1138
        warning "Map function and relator names ignored"
52961
bb8787b20437 added warning
blanchet
parents: 52960
diff changeset
  1139
      else
bb8787b20437 added warning
blanchet
parents: 52960
diff changeset
  1140
        ();
49585
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
  1141
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
  1142
    val Bs =
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
  1143
      map3 (fn alive => fn A as TFree (_, S) => fn B => if alive then resort_tfree S B else A)
53266
89f7f1cc9ae3 cleaner handling of bootstrapping "fake" context, with fewer (no?) obscure bugs
blanchet
parents: 53264
diff changeset
  1144
        (liveness_of_fp_bnf num_As any_fp_bnf) As Bs0;
49585
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
  1145
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
  1146
    val B_ify = Term.typ_subst_atomic (As ~~ Bs);
49167
68623861e0f2 print timing information
blanchet
parents: 49165
diff changeset
  1147
49501
acc9635a644a renamed "fld"/"unf" to "ctor"/"dtor"
blanchet
parents: 49498
diff changeset
  1148
    val ctors = map (mk_ctor As) ctors0;
acc9635a644a renamed "fld"/"unf" to "ctor"/"dtor"
blanchet
parents: 49498
diff changeset
  1149
    val dtors = map (mk_dtor As) dtors0;
49124
968e1b7de057 more work on FP sugar
blanchet
parents: 49123
diff changeset
  1150
49501
acc9635a644a renamed "fld"/"unf" to "ctor"/"dtor"
blanchet
parents: 49498
diff changeset
  1151
    val fpTs = map (domain_type o fastype_of) dtors;
49362
1271aca16aed make tactic more robust in the case where "asm_simp_tac" already finishes the job
blanchet
parents: 49361
diff changeset
  1152
51780
67e4ed510dfb register coinductive type's coinduct rule
blanchet
parents: 51777
diff changeset
  1153
    fun massage_simple_notes base =
67e4ed510dfb register coinductive type's coinduct rule
blanchet
parents: 51777
diff changeset
  1154
      filter_out (null o #2)
67e4ed510dfb register coinductive type's coinduct rule
blanchet
parents: 51777
diff changeset
  1155
      #> map (fn (thmN, thms, attrs) =>
55410
54b09e82b9e1 killed 'rep_compat' option
blanchet
parents: 55409
diff changeset
  1156
        ((Binding.qualify true base (Binding.name thmN), attrs), [(thms, [])]));
51780
67e4ed510dfb register coinductive type's coinduct rule
blanchet
parents: 51777
diff changeset
  1157
67e4ed510dfb register coinductive type's coinduct rule
blanchet
parents: 51777
diff changeset
  1158
    val massage_multi_notes =
67e4ed510dfb register coinductive type's coinduct rule
blanchet
parents: 51777
diff changeset
  1159
      maps (fn (thmN, thmss, attrs) =>
53792
f0b273258d80 don't generate empty theorem collections
blanchet
parents: 53746
diff changeset
  1160
        map3 (fn fp_b_name => fn Type (T_name, _) => fn thms =>
55410
54b09e82b9e1 killed 'rep_compat' option
blanchet
parents: 55409
diff changeset
  1161
            ((Binding.qualify true fp_b_name (Binding.name thmN), attrs T_name), [(thms, [])]))
53792
f0b273258d80 don't generate empty theorem collections
blanchet
parents: 53746
diff changeset
  1162
          fp_b_names fpTs thmss)
f0b273258d80 don't generate empty theorem collections
blanchet
parents: 53746
diff changeset
  1163
      #> filter_out (null o fst o hd o snd);
51780
67e4ed510dfb register coinductive type's coinduct rule
blanchet
parents: 51777
diff changeset
  1164
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
  1165
    val ctr_Tsss = map (map (map (Term.typ_subst_atomic (Xs ~~ fpTs)))) ctrXs_Tsss;
49203
262ab1ac38b9 repaired constant types
blanchet
parents: 49202
diff changeset
  1166
    val ns = map length ctr_Tsss;
49212
ca59649170b0 more sugar on codatatypes
blanchet
parents: 49211
diff changeset
  1167
    val kss = map (fn n => 1 upto