author | blanchet |
Fri, 16 Dec 2016 22:54:14 +0100 | |
changeset 64576 | ce8802dc3145 |
parent 64416 | 9312408aec32 |
child 64607 | 20f3dbfe4b24 |
permissions | -rw-r--r-- |
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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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Author: Martin Desharnais, TU Muenchen |
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Copyright 2012, 2013, 2014 |
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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_ctr_sugar = |
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{ctrXs_Tss: typ list list, |
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ctor_iff_dtor: thm, |
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ctr_defs: thm list, |
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ctr_sugar: Ctr_Sugar.ctr_sugar, |
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ctr_transfers: thm list, |
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case_transfers: thm list, |
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disc_transfers: thm list, |
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sel_transfers: thm list} |
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type fp_bnf_sugar = |
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{map_thms: thm list, |
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map_disc_iffs: thm list, |
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map_selss: thm list list, |
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rel_injects: thm list, |
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rel_distincts: thm list, |
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rel_sels: thm list, |
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rel_intros: thm list, |
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rel_cases: thm list, |
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pred_injects: thm list, |
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set_thms: thm list, |
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set_selssss: thm list list list list, |
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set_introssss: thm list list list list, |
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set_cases: thm list} |
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type fp_co_induct_sugar = |
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{co_rec: term, |
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common_co_inducts: thm list, |
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co_inducts: thm list, |
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co_rec_def: thm, |
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co_rec_thms: thm list, |
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co_rec_discs: thm list, |
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co_rec_disc_iffs: thm list, |
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co_rec_selss: thm list list, |
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co_rec_codes: thm list, |
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co_rec_transfers: thm list, |
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co_rec_o_maps: thm list, |
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common_rel_co_inducts: thm list, |
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rel_co_inducts: thm list, |
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common_set_inducts: thm list, |
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set_inducts: thm list} |
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type fp_sugar = |
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{T: typ, |
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BT: 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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fp_bnf: BNF_Def.bnf, |
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absT_info: BNF_Comp.absT_info, |
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fp_nesting_bnfs: BNF_Def.bnf list, |
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live_nesting_bnfs: BNF_Def.bnf list, |
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fp_ctr_sugar: fp_ctr_sugar, |
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fp_bnf_sugar: fp_bnf_sugar, |
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fp_co_induct_sugar: fp_co_induct_sugar option} |
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val co_induct_of: 'a list -> 'a |
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val strong_co_induct_of: 'a list -> 'a |
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val morph_fp_bnf_sugar: morphism -> fp_bnf_sugar -> fp_bnf_sugar |
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val morph_fp_co_induct_sugar: morphism -> fp_co_induct_sugar -> fp_co_induct_sugar |
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val morph_fp_ctr_sugar: morphism -> fp_ctr_sugar -> fp_ctr_sugar |
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val morph_fp_sugar: morphism -> fp_sugar -> fp_sugar |
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val transfer_fp_sugar: theory -> fp_sugar -> fp_sugar |
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val fp_sugar_of: Proof.context -> string -> fp_sugar option |
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val fp_sugar_of_global: theory -> string -> fp_sugar option |
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val fp_sugars_of: Proof.context -> fp_sugar list |
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val fp_sugars_of_global: theory -> fp_sugar list |
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val fp_sugars_interpretation: string -> (fp_sugar list -> local_theory -> local_theory) -> |
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theory -> theory |
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val interpret_fp_sugars: (string -> bool) -> fp_sugar list -> local_theory -> local_theory |
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val register_fp_sugars_raw: fp_sugar list -> local_theory -> local_theory |
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val register_fp_sugars: (string -> bool) -> fp_sugar list -> local_theory -> local_theory |
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val merge_type_args: BNF_Util.fp_kind -> ''a list * ''a list -> ''a list |
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val type_args_named_constrained_of_spec: (((('a * 'b) * 'c) * 'd) * 'e) * 'f -> 'a |
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val type_binding_of_spec: (((('a * 'b) * 'c) * 'd) * 'e) * 'f -> 'b |
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val mixfix_of_spec: ((('a * 'b) * 'c) * 'd) * 'e -> 'b |
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val mixfixed_ctr_specs_of_spec: (('a * 'b) * 'c) * 'd -> 'b |
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val map_binding_of_spec: ('a * ('b * 'c * 'd)) * 'e -> 'b |
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val rel_binding_of_spec: ('a * ('b * 'c * 'd)) * 'e -> 'c |
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val pred_binding_of_spec: ('a * ('b * 'c * 'd)) * 'e -> 'd |
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val sel_default_eqs_of_spec: 'a * 'b -> 'b |
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val mk_parametricity_goal: Proof.context -> term list -> term -> term -> term |
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val flat_corec_preds_predsss_gettersss: 'a list -> 'a list list list -> 'a list list list -> |
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'a list |
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val mk_ctor: typ list -> term -> term |
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val mk_dtor: typ list -> term -> term |
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val mk_bnf_sets: BNF_Def.bnf -> string * term list |
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val liveness_of_fp_bnf: int -> BNF_Def.bnf -> bool list |
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val nesting_bnfs: Proof.context -> typ list list list -> typ list -> BNF_Def.bnf list |
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val massage_simple_notes: string -> (bstring * 'a list * (int -> 'b)) list -> |
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((binding * 'c list) * ('a list * 'b) list) list |
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val massage_multi_notes: string list -> typ list -> |
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(string * 'a list list * (string -> 'b)) list -> |
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((binding * 'b) * ('a list * 'c list) list) list |
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val define_ctrs_dtrs_for_type: string -> typ -> term -> term -> thm -> thm -> int -> int list -> |
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term -> binding list -> mixfix list -> typ list list -> local_theory -> |
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(term list list * term list * thm * thm list) * local_theory |
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val wrap_ctrs: (string -> bool) -> BNF_Util.fp_kind -> bool -> string -> thm -> int -> int list -> |
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thm -> thm -> binding list -> binding list list -> term list -> term list -> thm -> thm list -> |
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local_theory -> Ctr_Sugar.ctr_sugar * local_theory |
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val derive_map_set_rel_pred_thms: (string -> bool) -> BNF_Util.fp_kind -> int -> typ list -> |
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typ list -> typ -> typ -> thm list -> thm list -> thm list -> thm list -> thm list -> |
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thm list -> thm list -> thm list -> thm list -> string -> BNF_Def.bnf -> BNF_Def.bnf list -> |
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typ -> term -> thm -> thm -> thm -> thm list -> thm -> thm -> thm list -> thm -> thm list -> |
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thm list -> thm list -> typ list list -> Ctr_Sugar.ctr_sugar -> local_theory -> |
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(thm list * thm list * thm list list * thm list * thm list * thm list * thm list * thm list |
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* thm list * thm list * thm list list list list * thm list list list list * thm list |
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* thm list * thm list * thm list * thm list) * local_theory |
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type lfp_sugar_thms = (thm list * thm * Token.src list) * (thm list list * Token.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: theory -> lfp_sugar_thms -> lfp_sugar_thms |
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type gfp_sugar_thms = |
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((thm list * thm) list * (Token.src list * Token.src list)) |
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* thm list list |
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* thm list list |
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* (thm list list * Token.src list) |
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* (thm list list list * Token.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: theory -> gfp_sugar_thms -> gfp_sugar_thms |
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val mk_co_recs_prelims: Proof.context -> BNF_Util.fp_kind -> typ list list list -> typ list -> |
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typ list -> typ list -> typ list -> int list -> int list list -> term list -> |
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term list |
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* (typ list list * typ list list list list * term list list * term 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 * term list list list list * term list list list list) |
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* term list list list) * typ list)) option |
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val repair_nullary_single_ctr: typ list list -> typ list list |
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val mk_corec_p_pred_types: typ list -> int list -> typ list list |
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val mk_corec_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_co_rec_as: BNF_Util.fp_kind -> typ list -> typ -> binding -> term -> local_theory -> |
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(term * thm) * local_theory |
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val define_rec: |
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typ list list * typ list list list list * term list list * term list list list list -> |
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(string -> binding) -> typ list -> typ list -> term list -> term -> Proof.context -> |
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(term * thm) * Proof.context |
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val define_corec: 'a * term list * term list list |
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* (((term list list * term list list * term list list list list * term list list list list) |
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* term list list list) * typ list) -> (string -> binding) -> 'b list -> typ list -> |
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term list -> term -> local_theory -> (term * thm) * local_theory |
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val mk_induct_raw_prem: Proof.context -> typ list list -> (string * term list) list -> term -> |
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term -> typ list -> typ list -> |
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term list * ((term * (term * term)) list * (int * term)) list * term |
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val finish_induct_prem: Proof.context -> int -> term list -> |
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term list * ((term * (term * term)) list * (int * term)) list * term -> term |
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val mk_induct_attrs: term list list -> Token.src list |
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val mk_coinduct_attrs: typ list -> term list list -> term list list -> int list list -> |
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Token.src list * Token.src list |
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val derive_induct_recs_thms_for_types: (string -> bool) -> BNF_Def.bnf list -> |
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('a * typ list list list list * term list list * 'b) option -> thm -> thm list -> |
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BNF_Def.bnf list -> BNF_Def.bnf list -> typ list -> typ list -> typ list -> |
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typ list list list -> thm list -> thm list -> thm list -> term list list -> thm list list -> |
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term list -> thm list -> Proof.context -> lfp_sugar_thms |
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val derive_coinduct_thms_for_types: bool -> (term -> term) -> BNF_Def.bnf list -> thm -> |
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thm list -> BNF_Def.bnf list -> typ list -> typ list -> typ list list list -> int list -> |
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thm list -> thm list -> (thm -> thm) -> thm list list -> Ctr_Sugar.ctr_sugar list -> |
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Proof.context -> (thm list * thm) list |
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val derive_coinduct_corecs_thms_for_types: BNF_Def.bnf list -> |
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string * term list * term list list |
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* (((term list list * term list list * term list list list list * term list list list list) |
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* term list list list) * typ list) -> |
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thm -> thm list -> thm list -> thm 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 -> |
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thm list -> Proof.context -> gfp_sugar_thms |
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val co_datatypes: BNF_Util.fp_kind -> (mixfix list -> binding list -> binding list -> |
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binding list -> binding list list -> binding list -> (string * sort) list -> |
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typ list * typ list list -> 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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Ctr_Sugar.ctr_options |
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* ((((((binding option * (typ * sort)) list * binding) * mixfix) |
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* ((binding, binding * typ) Ctr_Sugar.ctr_spec * mixfix) list) * |
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(binding * binding * binding)) |
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* term list) list -> |
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local_theory -> local_theory |
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val co_datatype_cmd: BNF_Util.fp_kind -> |
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(mixfix list -> binding list -> binding list -> binding list -> binding list list -> |
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binding list -> (string * sort) list -> typ list * typ list list -> BNF_Def.bnf list -> |
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BNF_Comp.absT_info list -> local_theory -> BNF_FP_Util.fp_result * Proof.context) -> |
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((Proof.context -> Plugin_Name.filter) * bool) |
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* ((((((binding option * (string * string option)) list * binding) * mixfix) |
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* ((binding, binding * string) Ctr_Sugar.ctr_spec * mixfix) list) |
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* (binding * binding * binding)) * string list) list -> |
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Proof.context -> local_theory |
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val parse_ctr_arg: (binding * string) parser |
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val parse_ctr_specs: ((binding, binding * string) Ctr_Sugar.ctr_spec * mixfix) list parser |
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val parse_spec: ((((((binding option * (string * string option)) list * binding) * mixfix) |
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* ((binding, binding * string) Ctr_Sugar.ctr_spec * mixfix) list) |
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* (binding * binding * binding)) * string list) parser |
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val parse_co_datatype: (Ctr_Sugar.ctr_options_cmd |
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* ((((((binding option * (string * string option)) list * binding) * mixfix) |
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* ((binding, binding * string) Ctr_Sugar.ctr_spec * mixfix) list) |
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* (binding * binding * binding)) * string list) list) parser |
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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 -> binding list list -> binding list -> (string * sort) list -> |
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typ list * typ list list -> 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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reorganized dependencies so that the sugar does not depend on GFP -- this will be essential for bootstrapping
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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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||
54006 | 232 |
open Ctr_Sugar |
55571 | 233 |
open BNF_FP_Rec_Sugar_Util |
49119 | 234 |
open BNF_Util |
53222 | 235 |
open BNF_Comp |
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|
236 |
open BNF_Def |
51850
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blanchet
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changeset
|
237 |
open BNF_FP_Util |
49636 | 238 |
open BNF_FP_Def_Sugar_Tactics |
49119 | 239 |
|
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|
240 |
val Eq_prefix = "Eq_"; |
57489 | 241 |
|
58093 | 242 |
val case_transferN = "case_transfer"; |
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changeset
|
243 |
val ctor_iff_dtorN = "ctor_iff_dtor"; |
57999 | 244 |
val ctr_transferN = "ctr_transfer"; |
58095 | 245 |
val disc_transferN = "disc_transfer"; |
58676 | 246 |
val sel_transferN = "sel_transfer"; |
57489 | 247 |
val corec_codeN = "corec_code"; |
58448 | 248 |
val corec_transferN = "corec_transfer"; |
57983
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changeset
|
249 |
val map_disc_iffN = "map_disc_iff"; |
58734 | 250 |
val map_o_corecN = "map_o_corec"; |
57983
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changeset
|
251 |
val map_selN = "map_sel"; |
62335 | 252 |
val pred_injectN = "pred_inject"; |
58732 | 253 |
val rec_o_mapN = "rec_o_map"; |
58446 | 254 |
val rec_transferN = "rec_transfer"; |
63851 | 255 |
val set0N = "set0"; |
57893 | 256 |
val set_casesN = "set_cases"; |
57891 | 257 |
val set_introsN = "set_intros"; |
57700 | 258 |
val set_inductN = "set_induct"; |
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|
259 |
val set_selN = "set_sel"; |
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changeset
|
260 |
|
58460 | 261 |
type fp_ctr_sugar = |
262 |
{ctrXs_Tss: typ list list, |
|
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changeset
|
263 |
ctor_iff_dtor: thm, |
58460 | 264 |
ctr_defs: thm list, |
58569 | 265 |
ctr_sugar: Ctr_Sugar.ctr_sugar, |
58570 | 266 |
ctr_transfers: thm list, |
58571 | 267 |
case_transfers: thm list, |
58676 | 268 |
disc_transfers: thm list, |
269 |
sel_transfers: thm list}; |
|
58458 | 270 |
|
271 |
type fp_bnf_sugar = |
|
58462 | 272 |
{map_thms: thm list, |
58560 | 273 |
map_disc_iffs: thm list, |
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diff
changeset
|
274 |
map_selss: thm list list, |
58462 | 275 |
rel_injects: thm list, |
58562 | 276 |
rel_distincts: thm list, |
58563 | 277 |
rel_sels: thm list, |
58564 | 278 |
rel_intros: thm list, |
58565 | 279 |
rel_cases: thm list, |
62335 | 280 |
pred_injects: thm list, |
58566 | 281 |
set_thms: thm list, |
58671
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diff
changeset
|
282 |
set_selssss: thm list list list list, |
58673
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parents:
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diff
changeset
|
283 |
set_introssss: thm list list list list, |
58568 | 284 |
set_cases: thm list}; |
58458 | 285 |
|
58459 | 286 |
type fp_co_induct_sugar = |
58461 | 287 |
{co_rec: term, |
288 |
common_co_inducts: thm list, |
|
289 |
co_inducts: thm list, |
|
290 |
co_rec_def: thm, |
|
58459 | 291 |
co_rec_thms: thm list, |
292 |
co_rec_discs: thm list, |
|
58572 | 293 |
co_rec_disc_iffs: thm list, |
58573 | 294 |
co_rec_selss: thm list list, |
295 |
co_rec_codes: thm list, |
|
58574 | 296 |
co_rec_transfers: thm list, |
58734 | 297 |
co_rec_o_maps: thm list, |
58575 | 298 |
common_rel_co_inducts: thm list, |
58576 | 299 |
rel_co_inducts: thm list, |
58577 | 300 |
common_set_inducts: thm list, |
301 |
set_inducts: thm list}; |
|
58457 | 302 |
|
58180 | 303 |
type fp_sugar = |
304 |
{T: typ, |
|
305 |
BT: typ, |
|
306 |
X: typ, |
|
307 |
fp: fp_kind, |
|
308 |
fp_res_index: int, |
|
309 |
fp_res: fp_result, |
|
310 |
pre_bnf: bnf, |
|
58674 | 311 |
fp_bnf: bnf, |
58180 | 312 |
absT_info: absT_info, |
313 |
fp_nesting_bnfs: bnf list, |
|
314 |
live_nesting_bnfs: bnf list, |
|
58457 | 315 |
fp_ctr_sugar: fp_ctr_sugar, |
316 |
fp_bnf_sugar: fp_bnf_sugar, |
|
63859
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blanchet
parents:
63853
diff
changeset
|
317 |
fp_co_induct_sugar: fp_co_induct_sugar option}; |
58180 | 318 |
|
59276 | 319 |
fun co_induct_of (i :: _) = i; |
320 |
fun strong_co_induct_of [_, s] = s; |
|
321 |
||
58672
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desharna
parents:
58671
diff
changeset
|
322 |
fun morph_fp_bnf_sugar phi ({map_thms, map_disc_iffs, map_selss, rel_injects, rel_distincts, |
62335 | 323 |
rel_sels, rel_intros, rel_cases, pred_injects, set_thms, set_selssss, set_introssss, |
58673
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desharna
parents:
58672
diff
changeset
|
324 |
set_cases} : fp_bnf_sugar) = |
58462 | 325 |
{map_thms = map (Morphism.thm phi) map_thms, |
58560 | 326 |
map_disc_iffs = map (Morphism.thm phi) map_disc_iffs, |
58672
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desharna
parents:
58671
diff
changeset
|
327 |
map_selss = map (map (Morphism.thm phi)) map_selss, |
58462 | 328 |
rel_injects = map (Morphism.thm phi) rel_injects, |
58562 | 329 |
rel_distincts = map (Morphism.thm phi) rel_distincts, |
58563 | 330 |
rel_sels = map (Morphism.thm phi) rel_sels, |
58564 | 331 |
rel_intros = map (Morphism.thm phi) rel_intros, |
58565 | 332 |
rel_cases = map (Morphism.thm phi) rel_cases, |
62335 | 333 |
pred_injects = map (Morphism.thm phi) pred_injects, |
58566 | 334 |
set_thms = map (Morphism.thm phi) set_thms, |
58671
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desharna
parents:
58659
diff
changeset
|
335 |
set_selssss = map (map (map (map (Morphism.thm phi)))) set_selssss, |
58673
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desharna
parents:
58672
diff
changeset
|
336 |
set_introssss = map (map (map (map (Morphism.thm phi)))) set_introssss, |
58568 | 337 |
set_cases = map (Morphism.thm phi) set_cases}; |
58458 | 338 |
|
58461 | 339 |
fun morph_fp_co_induct_sugar phi ({co_rec, common_co_inducts, co_inducts, co_rec_def, co_rec_thms, |
58734 | 340 |
co_rec_discs, co_rec_disc_iffs, co_rec_selss, co_rec_codes, co_rec_transfers, co_rec_o_maps, |
58577 | 341 |
common_rel_co_inducts, rel_co_inducts, common_set_inducts, set_inducts} : fp_co_induct_sugar) = |
58461 | 342 |
{co_rec = Morphism.term phi co_rec, |
343 |
common_co_inducts = map (Morphism.thm phi) common_co_inducts, |
|
344 |
co_inducts = map (Morphism.thm phi) co_inducts, |
|
345 |
co_rec_def = Morphism.thm phi co_rec_def, |
|
58459 | 346 |
co_rec_thms = map (Morphism.thm phi) co_rec_thms, |
347 |
co_rec_discs = map (Morphism.thm phi) co_rec_discs, |
|
58572 | 348 |
co_rec_disc_iffs = map (Morphism.thm phi) co_rec_disc_iffs, |
58573 | 349 |
co_rec_selss = map (map (Morphism.thm phi)) co_rec_selss, |
350 |
co_rec_codes = map (Morphism.thm phi) co_rec_codes, |
|
58574 | 351 |
co_rec_transfers = map (Morphism.thm phi) co_rec_transfers, |
58734 | 352 |
co_rec_o_maps = map (Morphism.thm phi) co_rec_o_maps, |
58575 | 353 |
common_rel_co_inducts = map (Morphism.thm phi) common_rel_co_inducts, |
58576 | 354 |
rel_co_inducts = map (Morphism.thm phi) rel_co_inducts, |
58577 | 355 |
common_set_inducts = map (Morphism.thm phi) common_set_inducts, |
356 |
set_inducts = map (Morphism.thm phi) set_inducts}; |
|
58459 | 357 |
|
62321
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blanchet
parents:
62320
diff
changeset
|
358 |
fun morph_fp_ctr_sugar phi ({ctrXs_Tss, ctor_iff_dtor, ctr_defs, ctr_sugar, ctr_transfers, |
1abe81758619
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blanchet
parents:
62320
diff
changeset
|
359 |
case_transfers, disc_transfers, sel_transfers} : fp_ctr_sugar) = |
58460 | 360 |
{ctrXs_Tss = map (map (Morphism.typ phi)) ctrXs_Tss, |
62321
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blanchet
parents:
62320
diff
changeset
|
361 |
ctor_iff_dtor = Morphism.thm phi ctor_iff_dtor, |
58460 | 362 |
ctr_defs = map (Morphism.thm phi) ctr_defs, |
58569 | 363 |
ctr_sugar = morph_ctr_sugar phi ctr_sugar, |
58570 | 364 |
ctr_transfers = map (Morphism.thm phi) ctr_transfers, |
58571 | 365 |
case_transfers = map (Morphism.thm phi) case_transfers, |
58676 | 366 |
disc_transfers = map (Morphism.thm phi) disc_transfers, |
367 |
sel_transfers = map (Morphism.thm phi) sel_transfers}; |
|
58460 | 368 |
|
58674 | 369 |
fun morph_fp_sugar phi ({T, BT, X, fp, fp_res, fp_res_index, pre_bnf, fp_bnf, absT_info, |
370 |
fp_nesting_bnfs, live_nesting_bnfs, fp_ctr_sugar, fp_bnf_sugar, |
|
58460 | 371 |
fp_co_induct_sugar} : fp_sugar) = |
58180 | 372 |
{T = Morphism.typ phi T, |
373 |
BT = Morphism.typ phi BT, |
|
374 |
X = Morphism.typ phi X, |
|
375 |
fp = fp, |
|
376 |
fp_res = morph_fp_result phi fp_res, |
|
377 |
fp_res_index = fp_res_index, |
|
378 |
pre_bnf = morph_bnf phi pre_bnf, |
|
58674 | 379 |
fp_bnf = morph_bnf phi fp_bnf, |
58180 | 380 |
absT_info = morph_absT_info phi absT_info, |
381 |
fp_nesting_bnfs = map (morph_bnf phi) fp_nesting_bnfs, |
|
382 |
live_nesting_bnfs = map (morph_bnf phi) live_nesting_bnfs, |
|
58460 | 383 |
fp_ctr_sugar = morph_fp_ctr_sugar phi fp_ctr_sugar, |
58458 | 384 |
fp_bnf_sugar = morph_fp_bnf_sugar phi fp_bnf_sugar, |
63859
dca6fabd8060
make (co)induct component of 'fp_sugar' optional, for the benefit of nonuniform (co)datatypes and other similar extensions
blanchet
parents:
63853
diff
changeset
|
385 |
fp_co_induct_sugar = Option.map (morph_fp_co_induct_sugar phi) fp_co_induct_sugar}; |
58180 | 386 |
|
387 |
val transfer_fp_sugar = morph_fp_sugar o Morphism.transfer_morphism; |
|
388 |
||
51823
38996458bc5c
create data structure for storing (co)datatype information
blanchet
parents:
51819
diff
changeset
|
389 |
structure Data = Generic_Data |
38996458bc5c
create data structure for storing (co)datatype information
blanchet
parents:
51819
diff
changeset
|
390 |
( |
51840 | 391 |
type T = fp_sugar Symtab.table; |
51823
38996458bc5c
create data structure for storing (co)datatype information
blanchet
parents:
51819
diff
changeset
|
392 |
val empty = Symtab.empty; |
38996458bc5c
create data structure for storing (co)datatype information
blanchet
parents:
51819
diff
changeset
|
393 |
val extend = I; |
55394
d5ebe055b599
more liberal merging of BNFs and constructor sugar
blanchet
parents:
55356
diff
changeset
|
394 |
fun merge data : T = Symtab.merge (K true) data; |
51823
38996458bc5c
create data structure for storing (co)datatype information
blanchet
parents:
51819
diff
changeset
|
395 |
); |
38996458bc5c
create data structure for storing (co)datatype information
blanchet
parents:
51819
diff
changeset
|
396 |
|
58116 | 397 |
fun fp_sugar_of_generic context = |
61760 | 398 |
Option.map (transfer_fp_sugar (Context.theory_of context)) o Symtab.lookup (Data.get context); |
58116 | 399 |
|
400 |
fun fp_sugars_of_generic context = |
|
401 |
Symtab.fold (cons o transfer_fp_sugar (Context.theory_of context) o snd) (Data.get context) []; |
|
53907 | 402 |
|
58116 | 403 |
val fp_sugar_of = fp_sugar_of_generic o Context.Proof; |
404 |
val fp_sugar_of_global = fp_sugar_of_generic o Context.Theory; |
|
405 |
||
406 |
val fp_sugars_of = fp_sugars_of_generic o Context.Proof; |
|
407 |
val fp_sugars_of_global = fp_sugars_of_generic o Context.Theory; |
|
51823
38996458bc5c
create data structure for storing (co)datatype information
blanchet
parents:
51819
diff
changeset
|
408 |
|
58659
6c9821c32dd5
Local_Interpretation is superseded by Plugin with formal Plugin_Name management, avoiding undeclared strings;
wenzelm
parents:
58634
diff
changeset
|
409 |
structure FP_Sugar_Plugin = Plugin(type T = fp_sugar list); |
56347
6edbd4d20717
added new-style (co)datatype interpretation hook
blanchet
parents:
56254
diff
changeset
|
410 |
|
58659
6c9821c32dd5
Local_Interpretation is superseded by Plugin with formal Plugin_Name management, avoiding undeclared strings;
wenzelm
parents:
58634
diff
changeset
|
411 |
fun fp_sugars_interpretation name f = |
62322 | 412 |
FP_Sugar_Plugin.interpretation name (fn fp_sugars => fn lthy => |
413 |
f (map (transfer_fp_sugar (Proof_Context.theory_of lthy)) fp_sugars) lthy); |
|
56376
5a93b8f928a2
added same idiomatic handling of namings for Ctr_Sugar/BNF-related interpretation hooks as for typedef and (old-style) datatypes
blanchet
parents:
56347
diff
changeset
|
414 |
|
58659
6c9821c32dd5
Local_Interpretation is superseded by Plugin with formal Plugin_Name management, avoiding undeclared strings;
wenzelm
parents:
58634
diff
changeset
|
415 |
val interpret_fp_sugars = FP_Sugar_Plugin.data; |
56347
6edbd4d20717
added new-style (co)datatype interpretation hook
blanchet
parents:
56254
diff
changeset
|
416 |
|
62322 | 417 |
val register_fp_sugars_raw = |
56648
2ffa440b3074
manual merge + added 'rel_distincts' field to record for symmetry
blanchet
parents:
56641
diff
changeset
|
418 |
fold (fn fp_sugar as {T = Type (s, _), ...} => |
62322 | 419 |
Local_Theory.declaration {syntax = false, pervasive = true} |
420 |
(fn phi => Data.map (Symtab.update (s, morph_fp_sugar phi fp_sugar)))); |
|
58182 | 421 |
|
58189
9d714be4f028
added 'plugins' option to control which hooks are enabled
blanchet
parents:
58188
diff
changeset
|
422 |
fun register_fp_sugars plugins fp_sugars = |
9d714be4f028
added 'plugins' option to control which hooks are enabled
blanchet
parents:
58188
diff
changeset
|
423 |
register_fp_sugars_raw fp_sugars #> interpret_fp_sugars plugins fp_sugars; |
51823
38996458bc5c
create data structure for storing (co)datatype information
blanchet
parents:
51819
diff
changeset
|
424 |
|
58189
9d714be4f028
added 'plugins' option to control which hooks are enabled
blanchet
parents:
58188
diff
changeset
|
425 |
fun interpret_bnfs_register_fp_sugars plugins Ts BTs Xs fp pre_bnfs absT_infos fp_nesting_bnfs |
62321
1abe81758619
keep 'ctor_iff_dtor' theorem around in BNF FP database
blanchet
parents:
62320
diff
changeset
|
426 |
live_nesting_bnfs fp_res ctrXs_Tsss ctor_iff_dtors ctr_defss ctr_sugars co_recs co_rec_defs |
1abe81758619
keep 'ctor_iff_dtor' theorem around in BNF FP database
blanchet
parents:
62320
diff
changeset
|
427 |
map_thmss common_co_inducts co_inductss co_rec_thmss co_rec_discss co_rec_selsss rel_injectss |
62335 | 428 |
rel_distinctss map_disc_iffss map_selsss rel_selss rel_intross rel_casess pred_injectss |
429 |
set_thmss set_selsssss set_introsssss set_casess ctr_transferss case_transferss disc_transferss |
|
63859
dca6fabd8060
make (co)induct component of 'fp_sugar' optional, for the benefit of nonuniform (co)datatypes and other similar extensions
blanchet
parents:
63853
diff
changeset
|
430 |
sel_transferss co_rec_disc_iffss co_rec_codess co_rec_transferss common_rel_co_inducts |
dca6fabd8060
make (co)induct component of 'fp_sugar' optional, for the benefit of nonuniform (co)datatypes and other similar extensions
blanchet
parents:
63853
diff
changeset
|
431 |
rel_co_inductss common_set_inducts set_inductss co_rec_o_mapss noted = |
56637
d1d55f1bbc8a
invoke 'fp_sugar' interpretation hook on mutually recursive clique
blanchet
parents:
56523
diff
changeset
|
432 |
let |
d1d55f1bbc8a
invoke 'fp_sugar' interpretation hook on mutually recursive clique
blanchet
parents:
56523
diff
changeset
|
433 |
val fp_sugars = |
d1d55f1bbc8a
invoke 'fp_sugar' interpretation hook on mutually recursive clique
blanchet
parents:
56523
diff
changeset
|
434 |
map_index (fn (kk, T) => |
56648
2ffa440b3074
manual merge + added 'rel_distincts' field to record for symmetry
blanchet
parents:
56641
diff
changeset
|
435 |
{T = T, BT = nth BTs kk, X = nth Xs kk, fp = fp, fp_res = fp_res, fp_res_index = kk, |
57397 | 436 |
pre_bnf = nth pre_bnfs kk, absT_info = nth absT_infos kk, |
58674 | 437 |
fp_bnf = nth (#bnfs fp_res) kk, |
57397 | 438 |
fp_nesting_bnfs = fp_nesting_bnfs, live_nesting_bnfs = live_nesting_bnfs, |
58460 | 439 |
fp_ctr_sugar = |
440 |
{ctrXs_Tss = nth ctrXs_Tsss kk, |
|
62321
1abe81758619
keep 'ctor_iff_dtor' theorem around in BNF FP database
blanchet
parents:
62320
diff
changeset
|
441 |
ctor_iff_dtor = nth ctor_iff_dtors kk, |
58460 | 442 |
ctr_defs = nth ctr_defss kk, |
58569 | 443 |
ctr_sugar = nth ctr_sugars kk, |
58570 | 444 |
ctr_transfers = nth ctr_transferss kk, |
58571 | 445 |
case_transfers = nth case_transferss kk, |
58676 | 446 |
disc_transfers = nth disc_transferss kk, |
447 |
sel_transfers = nth sel_transferss kk}, |
|
58459 | 448 |
fp_bnf_sugar = |
58462 | 449 |
{map_thms = nth map_thmss kk, |
58560 | 450 |
map_disc_iffs = nth map_disc_iffss kk, |
58672
3f0d612ebd8e
preserve the structure of 'map_sel' theorem in ML
desharna
parents:
58671
diff
changeset
|
451 |
map_selss = nth map_selsss kk, |
58462 | 452 |
rel_injects = nth rel_injectss kk, |
58562 | 453 |
rel_distincts = nth rel_distinctss kk, |
58563 | 454 |
rel_sels = nth rel_selss kk, |
58564 | 455 |
rel_intros = nth rel_intross kk, |
58565 | 456 |
rel_cases = nth rel_casess kk, |
62335 | 457 |
pred_injects = nth pred_injectss kk, |
58566 | 458 |
set_thms = nth set_thmss kk, |
58671
4cc24f1e52d5
preserve the structure of 'set_sel' theorem in ML
desharna
parents:
58659
diff
changeset
|
459 |
set_selssss = nth set_selsssss kk, |
58673
add1a78da098
preserve the structure of 'set_intros' theorem in ML
desharna
parents:
58672
diff
changeset
|
460 |
set_introssss = nth set_introsssss kk, |
58568 | 461 |
set_cases = nth set_casess kk}, |
63859
dca6fabd8060
make (co)induct component of 'fp_sugar' optional, for the benefit of nonuniform (co)datatypes and other similar extensions
blanchet
parents:
63853
diff
changeset
|
462 |
fp_co_induct_sugar = SOME |
58461 | 463 |
{co_rec = nth co_recs kk, |
464 |
common_co_inducts = common_co_inducts, |
|
465 |
co_inducts = nth co_inductss kk, |
|
466 |
co_rec_def = nth co_rec_defs kk, |
|
58459 | 467 |
co_rec_thms = nth co_rec_thmss kk, |
468 |
co_rec_discs = nth co_rec_discss kk, |
|
58572 | 469 |
co_rec_disc_iffs = nth co_rec_disc_iffss kk, |
58573 | 470 |
co_rec_selss = nth co_rec_selsss kk, |
471 |
co_rec_codes = nth co_rec_codess kk, |
|
58574 | 472 |
co_rec_transfers = nth co_rec_transferss kk, |
58734 | 473 |
co_rec_o_maps = nth co_rec_o_mapss kk, |
58575 | 474 |
common_rel_co_inducts = common_rel_co_inducts, |
58576 | 475 |
rel_co_inducts = nth rel_co_inductss kk, |
58577 | 476 |
common_set_inducts = common_set_inducts, |
477 |
set_inducts = nth set_inductss kk}} |
|
57633 | 478 |
|> morph_fp_sugar (substitute_noted_thm noted)) Ts; |
56637
d1d55f1bbc8a
invoke 'fp_sugar' interpretation hook on mutually recursive clique
blanchet
parents:
56523
diff
changeset
|
479 |
in |
58182 | 480 |
register_fp_sugars_raw fp_sugars |
58189
9d714be4f028
added 'plugins' option to control which hooks are enabled
blanchet
parents:
58188
diff
changeset
|
481 |
#> fold (interpret_bnf plugins) (#bnfs fp_res) |
9d714be4f028
added 'plugins' option to control which hooks are enabled
blanchet
parents:
58188
diff
changeset
|
482 |
#> interpret_fp_sugars plugins fp_sugars |
56637
d1d55f1bbc8a
invoke 'fp_sugar' interpretation hook on mutually recursive clique
blanchet
parents:
56523
diff
changeset
|
483 |
end; |
51824 | 484 |
|
49622 | 485 |
fun quasi_unambiguous_case_names names = |
486 |
let |
|
487 |
val ps = map (`Long_Name.base_name) names; |
|
488 |
val dups = Library.duplicates (op =) (map fst ps); |
|
489 |
fun underscore s = |
|
59877 | 490 |
let val ss = Long_Name.explode s |
491 |
in space_implode "_" (drop (length ss - 2) ss) end; |
|
49622 | 492 |
in |
493 |
map (fn (base, full) => if member (op =) dups base then underscore full else base) ps |
|
58285 | 494 |
|> Name.variant_list [] |
49622 | 495 |
end; |
496 |
||
58180 | 497 |
fun zipper_map f = |
498 |
let |
|
499 |
fun zed _ [] = [] |
|
58686 | 500 |
| zed xs (y :: ys) = f (xs, y, ys) :: zed (xs @ [y]) ys; |
58180 | 501 |
in zed [] end; |
502 |
||
63787 | 503 |
fun cannot_merge_types fp = |
504 |
error ("Mutually " ^ co_prefix fp ^ "recursive types must have the same type parameters"); |
|
505 |
||
506 |
fun merge_type_arg fp T T' = if T = T' then T else cannot_merge_types fp; |
|
507 |
||
508 |
fun merge_type_args fp (As, As') = |
|
509 |
if length As = length As' then map2 (merge_type_arg fp) As As' else cannot_merge_types fp; |
|
510 |
||
511 |
fun type_args_named_constrained_of_spec (((((ncAs, _), _), _), _), _) = ncAs; |
|
512 |
fun type_binding_of_spec (((((_, b), _), _), _), _) = b; |
|
513 |
fun mixfix_of_spec ((((_, mx), _), _), _) = mx; |
|
514 |
fun mixfixed_ctr_specs_of_spec (((_, mx_ctr_specs), _), _) = mx_ctr_specs; |
|
515 |
fun map_binding_of_spec ((_, (b, _, _)), _) = b; |
|
516 |
fun rel_binding_of_spec ((_, (_, b, _)), _) = b; |
|
517 |
fun pred_binding_of_spec ((_, (_, _, b)), _) = b; |
|
518 |
fun sel_default_eqs_of_spec (_, ts) = ts; |
|
519 |
||
58675 | 520 |
fun ctr_sugar_kind_of_fp_kind Least_FP = Datatype |
58686 | 521 |
| ctr_sugar_kind_of_fp_kind Greatest_FP = Codatatype; |
58675 | 522 |
|
58265
cae4f3d14b05
prevent infinite loop when type variables are of a non-'type' sort
blanchet
parents:
58264
diff
changeset
|
523 |
fun uncurry_thm 0 thm = thm |
cae4f3d14b05
prevent infinite loop when type variables are of a non-'type' sort
blanchet
parents:
58264
diff
changeset
|
524 |
| uncurry_thm 1 thm = thm |
cae4f3d14b05
prevent infinite loop when type variables are of a non-'type' sort
blanchet
parents:
58264
diff
changeset
|
525 |
| uncurry_thm n thm = rotate_prems ~1 (uncurry_thm (n - 1) (rotate_prems 1 (conjI RS thm))); |
cae4f3d14b05
prevent infinite loop when type variables are of a non-'type' sort
blanchet
parents:
58264
diff
changeset
|
526 |
|
58180 | 527 |
fun choose_binary_fun fs AB = |
528 |
find_first (fastype_of #> binder_types #> (fn [A, B] => AB = (A, B))) fs; |
|
529 |
fun build_binary_fun_app fs t u = |
|
530 |
Option.map (rapp u o rapp t) (choose_binary_fun fs (fastype_of t, fastype_of u)); |
|
531 |
||
62385 | 532 |
fun build_the_rel ctxt Rs Ts A B = |
533 |
build_rel [] ctxt Ts (the o choose_binary_fun Rs) (A, B); |
|
58180 | 534 |
fun build_rel_app ctxt Rs Ts t u = |
62385 | 535 |
build_the_rel ctxt Rs Ts (fastype_of t) (fastype_of u) $ t $ u; |
58180 | 536 |
|
63851 | 537 |
fun build_set_app ctxt A t = Term.betapply (build_set ctxt A (fastype_of t), t); |
538 |
||
58180 | 539 |
fun mk_parametricity_goal ctxt Rs t u = |
62385 | 540 |
let val prem = build_the_rel ctxt Rs [] (fastype_of t) (fastype_of u) in |
58180 | 541 |
HOLogic.mk_Trueprop (prem $ t $ u) |
542 |
end; |
|
543 |
||
58284
f9b6af3017fd
nicer case names in the N2M case, similar to those generated by the old package (e.g. 'Cons_tree' instead of just 'Cons')
blanchet
parents:
58283
diff
changeset
|
544 |
val name_of_set = name_of_const "set function" domain_type; |
58180 | 545 |
|
55397
c2506f61fd26
generate 'fundec_cong' attribute for new-style (co)datatypes
blanchet
parents:
55394
diff
changeset
|
546 |
val fundefcong_attrs = @{attributes [fundef_cong]}; |
54145
297d1c603999
make sure that registered code equations are actually equations
blanchet
parents:
54107
diff
changeset
|
547 |
val nitpicksimp_attrs = @{attributes [nitpick_simp]}; |
49300 | 548 |
val simp_attrs = @{attributes [simp]}; |
549 |
||
49297 | 550 |
val lists_bmoc = fold (fn xs => fn t => Term.list_comb (t, xs)); |
49202
f493cd25737f
some work towards iterator and recursor properties
blanchet
parents:
49201
diff
changeset
|
551 |
|
55871 | 552 |
fun flat_corec_predss_getterss qss gss = maps (op @) (qss ~~ gss); |
51829 | 553 |
|
55871 | 554 |
fun flat_corec_preds_predsss_gettersss [] [qss] [gss] = flat_corec_predss_getterss qss gss |
555 |
| flat_corec_preds_predsss_gettersss (p :: ps) (qss :: qsss) (gss :: gsss) = |
|
556 |
p :: flat_corec_predss_getterss qss gss @ flat_corec_preds_predsss_gettersss ps qsss gsss; |
|
51829 | 557 |
|
49585
5c4a12550491
generate high-level "maps", "sets", and "rels" properties
blanchet
parents:
49583
diff
changeset
|
558 |
fun mk_flip (x, Type (_, [T1, Type (_, [T2, T3])])) = |
5c4a12550491
generate high-level "maps", "sets", and "rels" properties
blanchet
parents:
49583
diff
changeset
|
559 |
Abs ("x", T1, Abs ("y", T2, Var (x, T2 --> T1 --> T3) $ Bound 0 $ Bound 1)); |
5c4a12550491
generate high-level "maps", "sets", and "rels" properties
blanchet
parents:
49583
diff
changeset
|
560 |
|
60784 | 561 |
fun flip_rels ctxt n thm = |
49585
5c4a12550491
generate high-level "maps", "sets", and "rels" properties
blanchet
parents:
49583
diff
changeset
|
562 |
let |
59582 | 563 |
val Rs = Term.add_vars (Thm.prop_of thm) []; |
49585
5c4a12550491
generate high-level "maps", "sets", and "rels" properties
blanchet
parents:
49583
diff
changeset
|
564 |
val Rs' = rev (drop (length Rs - n) Rs); |
5c4a12550491
generate high-level "maps", "sets", and "rels" properties
blanchet
parents:
49583
diff
changeset
|
565 |
in |
60784 | 566 |
infer_instantiate ctxt (map (fn f => (fst f, Thm.cterm_of ctxt (mk_flip f))) Rs') thm |
49585
5c4a12550491
generate high-level "maps", "sets", and "rels" properties
blanchet
parents:
49583
diff
changeset
|
567 |
end; |
5c4a12550491
generate high-level "maps", "sets", and "rels" properties
blanchet
parents:
49583
diff
changeset
|
568 |
|
49536 | 569 |
fun mk_ctor_or_dtor get_T Ts t = |
570 |
let val Type (_, Ts0) = get_T (fastype_of t) in |
|
571 |
Term.subst_atomic_types (Ts0 ~~ Ts) t |
|
572 |
end; |
|
573 |
||
574 |
val mk_ctor = mk_ctor_or_dtor range_type; |
|
575 |
val mk_dtor = mk_ctor_or_dtor domain_type; |
|
576 |
||
64576
ce8802dc3145
refactored induction principle generation code, for reuse for nonuniform datatypes
blanchet
parents:
64416
diff
changeset
|
577 |
fun mk_bnf_sets bnf = |
ce8802dc3145
refactored induction principle generation code, for reuse for nonuniform datatypes
blanchet
parents:
64416
diff
changeset
|
578 |
let |
ce8802dc3145
refactored induction principle generation code, for reuse for nonuniform datatypes
blanchet
parents:
64416
diff
changeset
|
579 |
val Type (T_name, Us) = T_of_bnf bnf; |
ce8802dc3145
refactored induction principle generation code, for reuse for nonuniform datatypes
blanchet
parents:
64416
diff
changeset
|
580 |
val lives = lives_of_bnf bnf; |
ce8802dc3145
refactored induction principle generation code, for reuse for nonuniform datatypes
blanchet
parents:
64416
diff
changeset
|
581 |
val sets = sets_of_bnf bnf; |
ce8802dc3145
refactored induction principle generation code, for reuse for nonuniform datatypes
blanchet
parents:
64416
diff
changeset
|
582 |
fun mk_set U = |
ce8802dc3145
refactored induction principle generation code, for reuse for nonuniform datatypes
blanchet
parents:
64416
diff
changeset
|
583 |
(case find_index (curry (op =) U) lives of |
ce8802dc3145
refactored induction principle generation code, for reuse for nonuniform datatypes
blanchet
parents:
64416
diff
changeset
|
584 |
~1 => Term.dummy |
ce8802dc3145
refactored induction principle generation code, for reuse for nonuniform datatypes
blanchet
parents:
64416
diff
changeset
|
585 |
| i => nth sets i); |
ce8802dc3145
refactored induction principle generation code, for reuse for nonuniform datatypes
blanchet
parents:
64416
diff
changeset
|
586 |
in |
ce8802dc3145
refactored induction principle generation code, for reuse for nonuniform datatypes
blanchet
parents:
64416
diff
changeset
|
587 |
(T_name, map mk_set Us) |
ce8802dc3145
refactored induction principle generation code, for reuse for nonuniform datatypes
blanchet
parents:
64416
diff
changeset
|
588 |
end; |
ce8802dc3145
refactored induction principle generation code, for reuse for nonuniform datatypes
blanchet
parents:
64416
diff
changeset
|
589 |
|
55867 | 590 |
fun mk_xtor_co_recs thy fp fpTs Cs ts0 = |
51911
6c425d450a8c
more robust iterator construction (needed for mutualized FPs)
blanchet
parents:
51910
diff
changeset
|
591 |
let |
6c425d450a8c
more robust iterator construction (needed for mutualized FPs)
blanchet
parents:
51910
diff
changeset
|
592 |
val nn = length fpTs; |
6c425d450a8c
more robust iterator construction (needed for mutualized FPs)
blanchet
parents:
51910
diff
changeset
|
593 |
val (fpTs0, Cs0) = |
52207
21026c312cc3
tuning -- avoided unreadable true/false all over the place for LFP/GFP
blanchet
parents:
52197
diff
changeset
|
594 |
map ((fp = Greatest_FP ? swap) o dest_funT o snd o strip_typeN nn o fastype_of) ts0 |
51911
6c425d450a8c
more robust iterator construction (needed for mutualized FPs)
blanchet
parents:
51910
diff
changeset
|
595 |
|> split_list; |
6c425d450a8c
more robust iterator construction (needed for mutualized FPs)
blanchet
parents:
51910
diff
changeset
|
596 |
val rho = tvar_subst thy (fpTs0 @ Cs0) (fpTs @ Cs); |
6c425d450a8c
more robust iterator construction (needed for mutualized FPs)
blanchet
parents:
51910
diff
changeset
|
597 |
in |
52170
564be617ae84
generalized "mk_co_iter" to handle mutualized (co)iterators
blanchet
parents:
52169
diff
changeset
|
598 |
map (Term.subst_TVars rho) ts0 |
51911
6c425d450a8c
more robust iterator construction (needed for mutualized FPs)
blanchet
parents:
51910
diff
changeset
|
599 |
end; |
51827 | 600 |
|
52347
ead18e3b2c1b
changed back type of corecursor for nested case, effectively reverting aa66ea552357 and 78a3d5006cf1
blanchet
parents:
52346
diff
changeset
|
601 |
fun liveness_of_fp_bnf n bnf = |
ead18e3b2c1b
changed back type of corecursor for nested case, effectively reverting aa66ea552357 and 78a3d5006cf1
blanchet
parents:
52346
diff
changeset
|
602 |
(case T_of_bnf bnf of |
ead18e3b2c1b
changed back type of corecursor for nested case, effectively reverting aa66ea552357 and 78a3d5006cf1
blanchet
parents:
52346
diff
changeset
|
603 |
Type (_, Ts) => map (not o member (op =) (deads_of_bnf bnf)) Ts |
ead18e3b2c1b
changed back type of corecursor for nested case, effectively reverting aa66ea552357 and 78a3d5006cf1
blanchet
parents:
52346
diff
changeset
|
604 |
| _ => replicate n false); |
ead18e3b2c1b
changed back type of corecursor for nested case, effectively reverting aa66ea552357 and 78a3d5006cf1
blanchet
parents:
52346
diff
changeset
|
605 |
|
57397 | 606 |
fun add_nesting_bnf_names Us = |
52347
ead18e3b2c1b
changed back type of corecursor for nested case, effectively reverting aa66ea552357 and 78a3d5006cf1
blanchet
parents:
52346
diff
changeset
|
607 |
let |
ead18e3b2c1b
changed back type of corecursor for nested case, effectively reverting aa66ea552357 and 78a3d5006cf1
blanchet
parents:
52346
diff
changeset
|
608 |
fun add (Type (s, Ts)) ss = |
ead18e3b2c1b
changed back type of corecursor for nested case, effectively reverting aa66ea552357 and 78a3d5006cf1
blanchet
parents:
52346
diff
changeset
|
609 |
let val (needs, ss') = fold_map add Ts ss in |
ead18e3b2c1b
changed back type of corecursor for nested case, effectively reverting aa66ea552357 and 78a3d5006cf1
blanchet
parents:
52346
diff
changeset
|
610 |
if exists I needs then (true, insert (op =) s ss') else (false, ss') |
ead18e3b2c1b
changed back type of corecursor for nested case, effectively reverting aa66ea552357 and 78a3d5006cf1
blanchet
parents:
52346
diff
changeset
|
611 |
end |
ead18e3b2c1b
changed back type of corecursor for nested case, effectively reverting aa66ea552357 and 78a3d5006cf1
blanchet
parents:
52346
diff
changeset
|
612 |
| add T ss = (member (op =) Us T, ss); |
ead18e3b2c1b
changed back type of corecursor for nested case, effectively reverting aa66ea552357 and 78a3d5006cf1
blanchet
parents:
52346
diff
changeset
|
613 |
in snd oo add end; |
ead18e3b2c1b
changed back type of corecursor for nested case, effectively reverting aa66ea552357 and 78a3d5006cf1
blanchet
parents:
52346
diff
changeset
|
614 |
|
57397 | 615 |
fun nesting_bnfs ctxt ctr_Tsss Us = |
616 |
map_filter (bnf_of ctxt) (fold (fold (fold (add_nesting_bnf_names Us))) ctr_Tsss []); |
|
52347
ead18e3b2c1b
changed back type of corecursor for nested case, effectively reverting aa66ea552357 and 78a3d5006cf1
blanchet
parents:
52346
diff
changeset
|
617 |
|
54237
7cc6e286fe28
made sugared 'coinduct' theorem construction n2m-proof
blanchet
parents:
54236
diff
changeset
|
618 |
fun indexify proj xs f p = f (find_index (curry (op =) (proj p)) xs) p; |
52347
ead18e3b2c1b
changed back type of corecursor for nested case, effectively reverting aa66ea552357 and 78a3d5006cf1
blanchet
parents:
52346
diff
changeset
|
619 |
|
58346 | 620 |
fun massage_simple_notes base = |
621 |
filter_out (null o #2) |
|
622 |
#> map (fn (thmN, thms, f_attrs) => |
|
623 |
((Binding.qualify true base (Binding.name thmN), []), |
|
624 |
map_index (fn (i, thm) => ([thm], f_attrs i)) thms)); |
|
625 |
||
626 |
fun massage_multi_notes b_names Ts = |
|
627 |
maps (fn (thmN, thmss, attrs) => |
|
58634
9f10d82e8188
added parameterized ML antiquotations @{map N}, @{fold N}, @{fold_map N}, @{split_list N};
wenzelm
parents:
58586
diff
changeset
|
628 |
@{map 3} (fn b_name => fn Type (T_name, _) => fn thms => |
58346 | 629 |
((Binding.qualify true b_name (Binding.name thmN), attrs T_name), [(thms, [])])) |
630 |
b_names Ts thmss) |
|
631 |
#> filter_out (null o fst o hd o snd); |
|
632 |
||
63816 | 633 |
fun define_ctrs_dtrs_for_type fp_b_name fpT ctor dtor ctor_dtor dtor_ctor n ks abs ctr_bindings |
634 |
ctr_mixfixes ctr_Tss lthy = |
|
635 |
let |
|
64576
ce8802dc3145
refactored induction principle generation code, for reuse for nonuniform datatypes
blanchet
parents:
64416
diff
changeset
|
636 |
val ctor_absT = domain_type (fastype_of ctor); |
63816 | 637 |
|
638 |
val (((w, xss), u'), _) = lthy |
|
64576
ce8802dc3145
refactored induction principle generation code, for reuse for nonuniform datatypes
blanchet
parents:
64416
diff
changeset
|
639 |
|> yield_singleton (mk_Frees "w") ctor_absT |
63816 | 640 |
||>> mk_Freess "x" ctr_Tss |
641 |
||>> yield_singleton Variable.variant_fixes fp_b_name; |
|
642 |
||
643 |
val u = Free (u', fpT); |
|
644 |
||
645 |
val ctor_iff_dtor_thm = |
|
646 |
let |
|
647 |
val goal = |
|
648 |
fold_rev Logic.all [w, u] |
|
649 |
(mk_Trueprop_eq (HOLogic.mk_eq (u, ctor $ w), HOLogic.mk_eq (dtor $ u, w))); |
|
650 |
val vars = Variable.add_free_names lthy goal []; |
|
651 |
in |
|
652 |
Goal.prove_sorry lthy vars [] goal (fn {context = ctxt, ...} => |
|
64576
ce8802dc3145
refactored induction principle generation code, for reuse for nonuniform datatypes
blanchet
parents:
64416
diff
changeset
|
653 |
mk_ctor_iff_dtor_tac ctxt (map (SOME o Thm.ctyp_of lthy) [ctor_absT, fpT]) |
63816 | 654 |
(Thm.cterm_of lthy ctor) (Thm.cterm_of lthy dtor) ctor_dtor dtor_ctor) |
655 |
|> Thm.close_derivation |
|
656 |
end; |
|
657 |
||
658 |
val ctr_rhss = |
|
64576
ce8802dc3145
refactored induction principle generation code, for reuse for nonuniform datatypes
blanchet
parents:
64416
diff
changeset
|
659 |
map2 (fn k => fn xs => fold_rev Term.lambda xs (ctor $ mk_absumprod ctor_absT abs n k xs)) |
63816 | 660 |
ks xss; |
661 |
||
662 |
val ((raw_ctrs, raw_ctr_defs), (lthy, lthy_old)) = lthy |
|
663 |
|> Local_Theory.open_target |> snd |
|
664 |
|> apfst split_list o @{fold_map 3} (fn b => fn mx => fn rhs => |
|
665 |
Local_Theory.define ((b, mx), |
|
666 |
((Thm.make_def_binding (Config.get lthy bnf_internals) b, []), rhs)) |
|
667 |
#>> apsnd snd) ctr_bindings ctr_mixfixes ctr_rhss |
|
668 |
||> `Local_Theory.close_target; |
|
669 |
||
670 |
val phi = Proof_Context.export_morphism lthy_old lthy; |
|
671 |
||
672 |
val ctr_defs = map (Morphism.thm phi) raw_ctr_defs; |
|
673 |
val ctrs0 = map (Morphism.term phi) raw_ctrs; |
|
674 |
in |
|
675 |
((xss, ctrs0, ctor_iff_dtor_thm, ctr_defs), lthy) |
|
676 |
end; |
|
677 |
||
63839 | 678 |
fun wrap_ctrs plugins fp discs_sels fp_b_name ctor_inject n ms abs_inject type_definition |
63816 | 679 |
disc_bindings sel_bindingss sel_default_eqs ctrs0 ctor_iff_dtor_thm ctr_defs lthy = |
680 |
let |
|
681 |
val sumEN_thm' = unfold_thms lthy @{thms unit_all_eq1} (mk_absumprodE type_definition ms); |
|
682 |
||
683 |
fun exhaust_tac {context = ctxt, prems = _} = |
|
684 |
mk_exhaust_tac ctxt n ctr_defs ctor_iff_dtor_thm sumEN_thm'; |
|
685 |
||
686 |
val inject_tacss = |
|
687 |
map2 (fn ctr_def => fn 0 => [] | _ => [fn {context = ctxt, ...} => |
|
688 |
mk_inject_tac ctxt ctr_def ctor_inject abs_inject]) ctr_defs ms; |
|
689 |
||
690 |
val half_distinct_tacss = |
|
691 |
map (map (fn (def, def') => fn {context = ctxt, ...} => |
|
692 |
mk_half_distinct_tac ctxt ctor_inject abs_inject [def, def'])) |
|
693 |
(mk_half_pairss (`I ctr_defs)); |
|
694 |
||
695 |
val tacss = [exhaust_tac] :: inject_tacss @ half_distinct_tacss; |
|
696 |
||
697 |
fun ctr_spec_of disc_b ctr0 sel_bs = ((disc_b, ctr0), sel_bs); |
|
698 |
val ctr_specs = @{map 3} ctr_spec_of disc_bindings ctrs0 sel_bindingss; |
|
699 |
||
700 |
val (ctr_sugar as {case_cong, ...}, lthy) = |
|
701 |
free_constructors (ctr_sugar_kind_of_fp_kind fp) tacss |
|
63853 | 702 |
((((plugins, discs_sels), standard_binding), ctr_specs), sel_default_eqs) lthy; |
63816 | 703 |
|
704 |
val anonymous_notes = |
|
705 |
[([case_cong], fundefcong_attrs)] |
|
706 |
|> map (fn (thms, attrs) => ((Binding.empty, attrs), [(thms, [])])); |
|
707 |
||
708 |
val notes = |
|
709 |
if Config.get lthy bnf_internals then |
|
710 |
[(ctor_iff_dtorN, [ctor_iff_dtor_thm], K [])] |
|
711 |
|> massage_simple_notes fp_b_name |
|
712 |
else |
|
713 |
[]; |
|
714 |
in |
|
715 |
(ctr_sugar, lthy |> Local_Theory.notes (anonymous_notes @ notes) |> snd) |
|
716 |
end; |
|
717 |
||
63814 | 718 |
fun derive_map_set_rel_pred_thms plugins fp live As Bs C E abs_inverses ctr_defs fp_nesting_set_maps |
64416 | 719 |
fp_nesting_rel_eq_onps live_nesting_map_id0s live_nesting_set_maps live_nesting_rel_eqs |
720 |
live_nesting_rel_eq_onps fp_nested_rel_eq_onps fp_b_name fp_bnf fp_bnfs fpT ctor ctor_dtor |
|
721 |
dtor_ctor pre_map_def pre_set_defs pre_rel_def fp_map_thm fp_set_thms fp_rel_thm |
|
63851 | 722 |
extra_unfolds_map extra_unfolds_set extra_unfolds_rel ctr_Tss |
58676 | 723 |
({casex, case_thms, discs, selss, sel_defs, ctrs, exhaust, exhaust_discs, disc_thmss, sel_thmss, |
724 |
injects, distincts, distinct_discsss, ...} : ctr_sugar) |
|
58346 | 725 |
lthy = |
61344 | 726 |
let |
727 |
val n = length ctr_Tss; |
|
728 |
val ms = map length ctr_Tss; |
|
729 |
||
730 |
val B_ify_T = Term.typ_subst_atomic (As ~~ Bs); |
|
731 |
||
732 |
val fpBT = B_ify_T fpT; |
|
733 |
val live_AsBs = filter (op <>) (As ~~ Bs); |
|
62335 | 734 |
val live_As = map fst live_AsBs; |
61344 | 735 |
val fTs = map (op -->) live_AsBs; |
736 |
||
62335 | 737 |
val ((((((((xss, yss), fs), Ps), Rs), ta), tb), thesis), names_lthy) = lthy |
61344 | 738 |
|> fold (fold Variable.declare_typ) [As, Bs] |
739 |
|> mk_Freess "x" ctr_Tss |
|
740 |
||>> mk_Freess "y" (map (map B_ify_T) ctr_Tss) |
|
741 |
||>> mk_Frees "f" fTs |
|
62335 | 742 |
||>> mk_Frees "P" (map mk_pred1T live_As) |
61344 | 743 |
||>> mk_Frees "R" (map (uncurry mk_pred2T) live_AsBs) |
744 |
||>> yield_singleton (mk_Frees "a") fpT |
|
745 |
||>> yield_singleton (mk_Frees "b") fpBT |
|
746 |
||>> apfst HOLogic.mk_Trueprop o yield_singleton (mk_Frees "thesis") HOLogic.boolT; |
|
747 |
||
748 |
val ctrAs = map (mk_ctr As) ctrs; |
|
749 |
val ctrBs = map (mk_ctr Bs) ctrs; |
|
750 |
||
63814 | 751 |
val ctr_defs' = map2 (fn m => fn def => mk_unabs_def m (def RS meta_eq_to_obj_eq)) ms ctr_defs; |
752 |
||
63840 | 753 |
val ABfs = live_AsBs ~~ fs; |
754 |
||
62335 | 755 |
fun derive_rel_case relAsBs rel_inject_thms rel_distinct_thms = |
61344 | 756 |
let |
757 |
val rel_Rs_a_b = list_comb (relAsBs, Rs) $ ta $ tb; |
|
758 |
||
759 |
fun mk_assms ctrA ctrB ctxt = |
|
760 |
let |
|
761 |
val argA_Ts = binder_types (fastype_of ctrA); |
|
762 |
val argB_Ts = binder_types (fastype_of ctrB); |
|
64415
7ca48c274553
more uniform treatment of codatatype vs. datatype map and rel theorem generation (towards nonuniform codatatypes)
blanchet
parents:
64413
diff
changeset
|
763 |
val ((argAs, argBs), names_ctxt) = ctxt |
61344 | 764 |
|> mk_Frees "x" argA_Ts |
765 |
||>> mk_Frees "y" argB_Ts; |
|
766 |
val ctrA_args = list_comb (ctrA, argAs); |
|
767 |
val ctrB_args = list_comb (ctrB, argBs); |
|
768 |
in |
|
769 |
(fold_rev Logic.all (argAs @ argBs) (Logic.list_implies |
|
770 |
(mk_Trueprop_eq (ta, ctrA_args) :: mk_Trueprop_eq (tb, ctrB_args) :: |
|
771 |
map2 (HOLogic.mk_Trueprop oo build_rel_app lthy Rs []) argAs argBs, |
|
772 |
thesis)), |
|
773 |
names_ctxt) |
|
774 |
end; |
|
775 |
||
776 |
val (assms, names_lthy) = @{fold_map 2} mk_assms ctrAs ctrBs names_lthy; |
|
777 |
val goal = Logic.list_implies (HOLogic.mk_Trueprop rel_Rs_a_b :: assms, thesis); |
|
778 |
in |
|
779 |
Goal.prove_sorry lthy [] [] goal (fn {context = ctxt, prems = _} => |
|
62335 | 780 |
mk_rel_case_tac ctxt (Thm.cterm_of ctxt ta) (Thm.cterm_of ctxt tb) exhaust injects |
61344 | 781 |
rel_inject_thms distincts rel_distinct_thms live_nesting_rel_eqs) |
782 |
|> singleton (Proof_Context.export names_lthy lthy) |
|
783 |
|> Thm.close_derivation |
|
784 |
end; |
|
785 |
||
62335 | 786 |
fun derive_case_transfer rel_case_thm = |
61344 | 787 |
let |
788 |
val (S, names_lthy) = yield_singleton (mk_Frees "S") (mk_pred2T C E) names_lthy; |
|
789 |
val caseA = mk_case As C casex; |
|
790 |
val caseB = mk_case Bs E casex; |
|
791 |
val goal = mk_parametricity_goal names_lthy (S :: Rs) caseA caseB; |
|
792 |
in |
|
793 |
Goal.prove_sorry lthy [] [] goal (fn {context = ctxt, prems = _} => |
|
62335 | 794 |
mk_case_transfer_tac ctxt rel_case_thm case_thms) |
61344 | 795 |
|> singleton (Proof_Context.export names_lthy lthy) |
796 |
|> Thm.close_derivation |
|
797 |
end; |
|
798 |
in |
|
799 |
if live = 0 then |
|
61348
d7215449be83
disable generation of 'case_transfer' for 'nibble', due to quadratic proof -- to make 'HOL-Proofs' happier
blanchet
parents:
61347
diff
changeset
|
800 |
if plugins transfer_plugin then |
d7215449be83
disable generation of 'case_transfer' for 'nibble', due to quadratic proof -- to make 'HOL-Proofs' happier
blanchet
parents:
61347
diff
changeset
|
801 |
let |
d7215449be83
disable generation of 'case_transfer' for 'nibble', due to quadratic proof -- to make 'HOL-Proofs' happier
blanchet
parents:
61347
diff
changeset
|
802 |
val relAsBs = HOLogic.eq_const fpT; |
62335 | 803 |
val rel_case_thm = derive_rel_case relAsBs [] []; |
804 |
||
805 |
val case_transfer_thm = derive_case_transfer rel_case_thm; |
|
61348
d7215449be83
disable generation of 'case_transfer' for 'nibble', due to quadratic proof -- to make 'HOL-Proofs' happier
blanchet
parents:
61347
diff
changeset
|
806 |
|
d7215449be83
disable generation of 'case_transfer' for 'nibble', due to quadratic proof -- to make 'HOL-Proofs' happier
blanchet
parents:
61347
diff
changeset
|
807 |
val notes = |
d7215449be83
disable generation of 'case_transfer' for 'nibble', due to quadratic proof -- to make 'HOL-Proofs' happier
blanchet
parents:
61347
diff
changeset
|
808 |
[(case_transferN, [case_transfer_thm], K [])] |
d7215449be83
disable generation of 'case_transfer' for 'nibble', due to quadratic proof -- to make 'HOL-Proofs' happier
blanchet
parents:
61347
diff
changeset
|
809 |
|> massage_simple_notes fp_b_name; |
d7215449be83
disable generation of 'case_transfer' for 'nibble', due to quadratic proof -- to make 'HOL-Proofs' happier
blanchet
parents:
61347
diff
changeset
|
810 |
|
d7215449be83
disable generation of 'case_transfer' for 'nibble', due to quadratic proof -- to make 'HOL-Proofs' happier
blanchet
parents:
61347
diff
changeset
|
811 |
val (noted, lthy') = lthy |
d7215449be83
disable generation of 'case_transfer' for 'nibble', due to quadratic proof -- to make 'HOL-Proofs' happier
blanchet
parents:
61347
diff
changeset
|
812 |
|> Local_Theory.notes notes; |
d7215449be83
disable generation of 'case_transfer' for 'nibble', due to quadratic proof -- to make 'HOL-Proofs' happier
blanchet
parents:
61347
diff
changeset
|
813 |
|
d7215449be83
disable generation of 'case_transfer' for 'nibble', due to quadratic proof -- to make 'HOL-Proofs' happier
blanchet
parents:
61347
diff
changeset
|
814 |
val subst = Morphism.thm (substitute_noted_thm noted); |
d7215449be83
disable generation of 'case_transfer' for 'nibble', due to quadratic proof -- to make 'HOL-Proofs' happier
blanchet
parents:
61347
diff
changeset
|
815 |
in |
62335 | 816 |
(([], [], [], [], [], [], [], [], [], [], [], [], [], [], [subst case_transfer_thm], [], |
817 |
[]), lthy') |
|
61348
d7215449be83
disable generation of 'case_transfer' for 'nibble', due to quadratic proof -- to make 'HOL-Proofs' happier
blanchet
parents:
61347
diff
changeset
|
818 |
end |
d7215449be83
disable generation of 'case_transfer' for 'nibble', due to quadratic proof -- to make 'HOL-Proofs' happier
blanchet
parents:
61347
diff
changeset
|
819 |
else |
62335 | 820 |
(([], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], []), lthy) |
61344 | 821 |
else |
822 |
let |
|
823 |
val mapx = mk_map live As Bs (map_of_bnf fp_bnf); |
|
824 |
val relAsBs = mk_rel live As Bs (rel_of_bnf fp_bnf); |
|
825 |
val setAs = map (mk_set As) (sets_of_bnf fp_bnf); |
|
826 |
val discAs = map (mk_disc_or_sel As) discs; |
|
827 |
val discBs = map (mk_disc_or_sel Bs) discs; |
|
828 |
val selAss = map (map (mk_disc_or_sel As)) selss; |
|
829 |
val selBss = map (map (mk_disc_or_sel Bs)) selss; |
|
830 |
||
64415
7ca48c274553
more uniform treatment of codatatype vs. datatype map and rel theorem generation (towards nonuniform codatatypes)
blanchet
parents:
64413
diff
changeset
|
831 |
val map_ctor_thm = |
7ca48c274553
more uniform treatment of codatatype vs. datatype map and rel theorem generation (towards nonuniform codatatypes)
blanchet
parents:
64413
diff
changeset
|
832 |
if fp = Least_FP then |
7ca48c274553
more uniform treatment of codatatype vs. datatype map and rel theorem generation (towards nonuniform codatatypes)
blanchet
parents:
64413
diff
changeset
|
833 |
fp_map_thm |
7ca48c274553
more uniform treatment of codatatype vs. datatype map and rel theorem generation (towards nonuniform codatatypes)
blanchet
parents:
64413
diff
changeset
|
834 |
else |
7ca48c274553
more uniform treatment of codatatype vs. datatype map and rel theorem generation (towards nonuniform codatatypes)
blanchet
parents:
64413
diff
changeset
|
835 |
let |
7ca48c274553
more uniform treatment of codatatype vs. datatype map and rel theorem generation (towards nonuniform codatatypes)
blanchet
parents:
64413
diff
changeset
|
836 |
val ctorA = mk_ctor As ctor; |
7ca48c274553
more uniform treatment of codatatype vs. datatype map and rel theorem generation (towards nonuniform codatatypes)
blanchet
parents:
64413
diff
changeset
|
837 |
val ctorB = mk_ctor Bs ctor; |
7ca48c274553
more uniform treatment of codatatype vs. datatype map and rel theorem generation (towards nonuniform codatatypes)
blanchet
parents:
64413
diff
changeset
|
838 |
|
7ca48c274553
more uniform treatment of codatatype vs. datatype map and rel theorem generation (towards nonuniform codatatypes)
blanchet
parents:
64413
diff
changeset
|
839 |
val y_T = domain_type (fastype_of ctorA); |
7ca48c274553
more uniform treatment of codatatype vs. datatype map and rel theorem generation (towards nonuniform codatatypes)
blanchet
parents:
64413
diff
changeset
|
840 |
val (y as Free (y_s, _), _) = lthy |
7ca48c274553
more uniform treatment of codatatype vs. datatype map and rel theorem generation (towards nonuniform codatatypes)
blanchet
parents:
64413
diff
changeset
|
841 |
|> yield_singleton (mk_Frees "y") y_T; |
7ca48c274553
more uniform treatment of codatatype vs. datatype map and rel theorem generation (towards nonuniform codatatypes)
blanchet
parents:
64413
diff
changeset
|
842 |
|
7ca48c274553
more uniform treatment of codatatype vs. datatype map and rel theorem generation (towards nonuniform codatatypes)
blanchet
parents:
64413
diff
changeset
|
843 |
val ctor_cong = |
7ca48c274553
more uniform treatment of codatatype vs. datatype map and rel theorem generation (towards nonuniform codatatypes)
blanchet
parents:
64413
diff
changeset
|
844 |
infer_instantiate' lthy [NONE, NONE, SOME (Thm.cterm_of lthy ctorB)] arg_cong; |
7ca48c274553
more uniform treatment of codatatype vs. datatype map and rel theorem generation (towards nonuniform codatatypes)
blanchet
parents:
64413
diff
changeset
|
845 |
val fp_map_thm' = fp_map_thm |
7ca48c274553
more uniform treatment of codatatype vs. datatype map and rel theorem generation (towards nonuniform codatatypes)
blanchet
parents:
64413
diff
changeset
|
846 |
|> infer_instantiate' lthy (replicate live NONE @ |
7ca48c274553
more uniform treatment of codatatype vs. datatype map and rel theorem generation (towards nonuniform codatatypes)
blanchet
parents:
64413
diff
changeset
|
847 |
[SOME (Thm.cterm_of lthy (ctorA $ y))]) |
7ca48c274553
more uniform treatment of codatatype vs. datatype map and rel theorem generation (towards nonuniform codatatypes)
blanchet
parents:
64413
diff
changeset
|
848 |
|> unfold_thms lthy [dtor_ctor]; |
7ca48c274553
more uniform treatment of codatatype vs. datatype map and rel theorem generation (towards nonuniform codatatypes)
blanchet
parents:
64413
diff
changeset
|
849 |
|
7ca48c274553
more uniform treatment of codatatype vs. datatype map and rel theorem generation (towards nonuniform codatatypes)
blanchet
parents:
64413
diff
changeset
|
850 |
val map_ctor_thm0 = fp_map_thm' RS ctor_cong RS (ctor_dtor RS sym RS trans); |
7ca48c274553
more uniform treatment of codatatype vs. datatype map and rel theorem generation (towards nonuniform codatatypes)
blanchet
parents:
64413
diff
changeset
|
851 |
in |
7ca48c274553
more uniform treatment of codatatype vs. datatype map and rel theorem generation (towards nonuniform codatatypes)
blanchet
parents:
64413
diff
changeset
|
852 |
Thm.generalize ([], [y_s]) (Thm.maxidx_of map_ctor_thm0 + 1) map_ctor_thm0 |
7ca48c274553
more uniform treatment of codatatype vs. datatype map and rel theorem generation (towards nonuniform codatatypes)
blanchet
parents:
64413
diff
changeset
|
853 |
end; |
7ca48c274553
more uniform treatment of codatatype vs. datatype map and rel theorem generation (towards nonuniform codatatypes)
blanchet
parents:
64413
diff
changeset
|
854 |
|
63840 | 855 |
val map_thms = |
856 |
let |
|
857 |
fun mk_goal ctrA ctrB xs ys = |
|
858 |
let |
|
859 |
val fmap = list_comb (mapx, fs); |
|
860 |
||
861 |
fun mk_arg (x as Free (_, T)) (Free (_, U)) = |
|
862 |
if T = U then x |
|
863 |
else build_map lthy [] (the o AList.lookup (op =) ABfs) (T, U) $ x; |
|
864 |
||
865 |
val xs' = map2 mk_arg xs ys; |
|
866 |
in |
|
867 |
mk_Trueprop_eq (fmap $ list_comb (ctrA, xs), list_comb (ctrB, xs')) |
|
868 |
end; |
|
869 |
||
870 |
val goals = @{map 4} mk_goal ctrAs ctrBs xss yss; |
|
871 |
val goal = Logic.mk_conjunction_balanced goals; |
|
872 |
val vars = Variable.add_free_names lthy goal []; |
|
873 |
in |
|
874 |
Goal.prove_sorry lthy vars [] goal (fn {context = ctxt, prems = _} => |
|
64415
7ca48c274553
more uniform treatment of codatatype vs. datatype map and rel theorem generation (towards nonuniform codatatypes)
blanchet
parents:
64413
diff
changeset
|
875 |
mk_map_tac ctxt abs_inverses pre_map_def map_ctor_thm live_nesting_map_id0s ctr_defs' |
7ca48c274553
more uniform treatment of codatatype vs. datatype map and rel theorem generation (towards nonuniform codatatypes)
blanchet
parents:
64413
diff
changeset
|
876 |
extra_unfolds_map) |
63840 | 877 |
|> Thm.close_derivation |
878 |
|> Conjunction.elim_balanced (length goals) |
|
879 |
end; |
|
61344 | 880 |
|
63851 | 881 |
val set0_thms = |
882 |
let |
|
883 |
fun mk_goal A setA ctrA xs = |
|
884 |
let |
|
885 |
val sets = map (build_set_app lthy A) |
|
886 |
(filter (exists_subtype_in [A] o fastype_of) xs); |
|
887 |
in |
|
888 |
mk_Trueprop_eq (setA $ list_comb (ctrA, xs), |
|
63862 | 889 |
(if null sets then HOLogic.mk_set A [] else Library.foldl1 mk_union sets)) |
63851 | 890 |
end; |
891 |
||
892 |
val goals = |
|
893 |
@{map 2} (fn live_A => fn setA => map2 (mk_goal live_A setA) ctrAs xss) live_As setAs |
|
894 |
|> flat; |
|
895 |
in |
|
896 |
if null goals then |
|
897 |
[] |
|
898 |
else |
|
899 |
let |
|
900 |
val goal = Logic.mk_conjunction_balanced goals; |
|
901 |
val vars = Variable.add_free_names lthy goal []; |
|
902 |
in |
|
903 |
Goal.prove_sorry lthy vars [] goal (fn {context = ctxt, prems = _} => |
|
904 |
mk_set0_tac ctxt abs_inverses pre_set_defs dtor_ctor fp_set_thms |
|
905 |
fp_nesting_set_maps live_nesting_set_maps ctr_defs' extra_unfolds_set) |
|
906 |
|> Thm.close_derivation |
|
907 |
|> Conjunction.elim_balanced (length goals) |
|
908 |
end |
|
909 |
end; |
|
910 |
val set_thms = set0_thms |
|
911 |
|> map (unfold_thms lthy @{thms insert_is_Un[THEN sym] Un_empty_left Un_insert_left}); |
|
912 |
||
64415
7ca48c274553
more uniform treatment of codatatype vs. datatype map and rel theorem generation (towards nonuniform codatatypes)
blanchet
parents:
64413
diff
changeset
|
913 |
val rel_ctor_thm = |
7ca48c274553
more uniform treatment of codatatype vs. datatype map and rel theorem generation (towards nonuniform codatatypes)
blanchet
parents:
64413
diff
changeset
|
914 |
if fp = Least_FP then |
7ca48c274553
more uniform treatment of codatatype vs. datatype map and rel theorem generation (towards nonuniform codatatypes)
blanchet
parents:
64413
diff
changeset
|
915 |
fp_rel_thm |
7ca48c274553
more uniform treatment of codatatype vs. datatype map and rel theorem generation (towards nonuniform codatatypes)
blanchet
parents:
64413
diff
changeset
|
916 |
else |
7ca48c274553
more uniform treatment of codatatype vs. datatype map and rel theorem generation (towards nonuniform codatatypes)
blanchet
parents:
64413
diff
changeset
|
917 |
let |
7ca48c274553
more uniform treatment of codatatype vs. datatype map and rel theorem generation (towards nonuniform codatatypes)
blanchet
parents:
64413
diff
changeset
|
918 |
val ctorA = mk_ctor As ctor; |
7ca48c274553
more uniform treatment of codatatype vs. datatype map and rel theorem generation (towards nonuniform codatatypes)
blanchet
parents:
64413
diff
changeset
|
919 |
val ctorB = mk_ctor Bs ctor; |
7ca48c274553
more uniform treatment of codatatype vs. datatype map and rel theorem generation (towards nonuniform codatatypes)
blanchet
parents:
64413
diff
changeset
|
920 |
|
7ca48c274553
more uniform treatment of codatatype vs. datatype map and rel theorem generation (towards nonuniform codatatypes)
blanchet
parents:
64413
diff
changeset
|
921 |
val y_T = domain_type (fastype_of ctorA); |
7ca48c274553
more uniform treatment of codatatype vs. datatype map and rel theorem generation (towards nonuniform codatatypes)
blanchet
parents:
64413
diff
changeset
|
922 |
val z_T = domain_type (fastype_of ctorB); |
7ca48c274553
more uniform treatment of codatatype vs. datatype map and rel theorem generation (towards nonuniform codatatypes)
blanchet
parents:
64413
diff
changeset
|
923 |
val ((y as Free (y_s, _), z as Free (z_s, _)), _) = lthy |
7ca48c274553
more uniform treatment of codatatype vs. datatype map and rel theorem generation (towards nonuniform codatatypes)
blanchet
parents:
64413
diff
changeset
|
924 |
|> yield_singleton (mk_Frees "y") y_T |
7ca48c274553
more uniform treatment of codatatype vs. datatype map and rel theorem generation (towards nonuniform codatatypes)
blanchet
parents:
64413
diff
changeset
|
925 |
||>> yield_singleton (mk_Frees "z") z_T; |
7ca48c274553
more uniform treatment of codatatype vs. datatype map and rel theorem generation (towards nonuniform codatatypes)
blanchet
parents:
64413
diff
changeset
|
926 |
|
7ca48c274553
more uniform treatment of codatatype vs. datatype map and rel theorem generation (towards nonuniform codatatypes)
blanchet
parents:
64413
diff
changeset
|
927 |
val rel_ctor_thm0 = fp_rel_thm |
7ca48c274553
more uniform treatment of codatatype vs. datatype map and rel theorem generation (towards nonuniform codatatypes)
blanchet
parents:
64413
diff
changeset
|
928 |
|> infer_instantiate' lthy (replicate live NONE @ |
7ca48c274553
more uniform treatment of codatatype vs. datatype map and rel theorem generation (towards nonuniform codatatypes)
blanchet
parents:
64413
diff
changeset
|
929 |
[SOME (Thm.cterm_of lthy (ctorA $ y)), SOME (Thm.cterm_of lthy (ctorB $ z))]) |
7ca48c274553
more uniform treatment of codatatype vs. datatype map and rel theorem generation (towards nonuniform codatatypes)
blanchet
parents:
64413
diff
changeset
|
930 |
|> unfold_thms lthy [dtor_ctor]; |
7ca48c274553
more uniform treatment of codatatype vs. datatype map and rel theorem generation (towards nonuniform codatatypes)
blanchet
parents:
64413
diff
changeset
|
931 |
in |
7ca48c274553
more uniform treatment of codatatype vs. datatype map and rel theorem generation (towards nonuniform codatatypes)
blanchet
parents:
64413
diff
changeset
|
932 |
Thm.generalize ([], [y_s, z_s]) (Thm.maxidx_of rel_ctor_thm0 + 1) rel_ctor_thm0 |
7ca48c274553
more uniform treatment of codatatype vs. datatype map and rel theorem generation (towards nonuniform codatatypes)
blanchet
parents:
64413
diff
changeset
|
933 |
end; |
7ca48c274553
more uniform treatment of codatatype vs. datatype map and rel theorem generation (towards nonuniform codatatypes)
blanchet
parents:
64413
diff
changeset
|
934 |
|
63841 | 935 |
val rel_inject_thms = |
936 |
let |
|
937 |
fun mk_goal ctrA ctrB xs ys = |
|
938 |
let |
|
63851 | 939 |
val lhs = list_comb (relAsBs, Rs) $ list_comb (ctrA, xs) $ list_comb (ctrB, ys); |
63841 | 940 |
val conjuncts = map2 (build_rel_app lthy Rs []) xs ys; |
941 |
in |
|
942 |
HOLogic.mk_Trueprop |
|
943 |
(if null conjuncts then lhs |
|
944 |
else HOLogic.mk_eq (lhs, Library.foldr1 HOLogic.mk_conj conjuncts)) |
|
945 |
end; |
|
946 |
||
947 |
val goals = @{map 4} mk_goal ctrAs ctrBs xss yss; |
|
948 |
val goal = Logic.mk_conjunction_balanced goals; |
|
949 |
val vars = Variable.add_free_names lthy goal []; |
|
950 |
in |
|
951 |
Goal.prove_sorry lthy vars [] goal (fn {context = ctxt, prems = _} => |
|
64415
7ca48c274553
more uniform treatment of codatatype vs. datatype map and rel theorem generation (towards nonuniform codatatypes)
blanchet
parents:
64413
diff
changeset
|
952 |
mk_rel_tac ctxt abs_inverses pre_rel_def rel_ctor_thm live_nesting_rel_eqs ctr_defs' |
7ca48c274553
more uniform treatment of codatatype vs. datatype map and rel theorem generation (towards nonuniform codatatypes)
blanchet
parents:
64413
diff
changeset
|
953 |
extra_unfolds_rel) |
63841 | 954 |
|> Thm.close_derivation |
955 |
|> Conjunction.elim_balanced (length goals) |
|
956 |
end; |
|
957 |
||
958 |
val half_rel_distinct_thmss = |
|
959 |
let |
|
960 |
fun mk_goal ((ctrA, xs), (ctrB, ys)) = |
|
63851 | 961 |
HOLogic.mk_Trueprop (HOLogic.mk_not |
962 |
(list_comb (relAsBs, Rs) $ list_comb (ctrA, xs) $ list_comb (ctrB, ys))); |
|
63841 | 963 |
|
964 |
val rel_infos = (ctrAs ~~ xss, ctrBs ~~ yss); |
|
965 |
||
966 |
val goalss = map (map mk_goal) (mk_half_pairss rel_infos); |
|
967 |
val goals = flat goalss; |
|
968 |
in |
|
969 |
unflat goalss |
|
63851 | 970 |
(if null goals then |
971 |
[] |
|
63841 | 972 |
else |
973 |
let |
|
974 |
val goal = Logic.mk_conjunction_balanced goals; |
|
975 |
val vars = Variable.add_free_names lthy goal []; |
|
976 |
in |
|
977 |
Goal.prove_sorry lthy vars [] goal (fn {context = ctxt, prems = _} => |
|
64415
7ca48c274553
more uniform treatment of codatatype vs. datatype map and rel theorem generation (towards nonuniform codatatypes)
blanchet
parents:
64413
diff
changeset
|
978 |
mk_rel_tac ctxt abs_inverses pre_rel_def rel_ctor_thm live_nesting_rel_eqs |
7ca48c274553
more uniform treatment of codatatype vs. datatype map and rel theorem generation (towards nonuniform codatatypes)
blanchet
parents:
64413
diff
changeset
|
979 |
ctr_defs' extra_unfolds_rel) |
63841 | 980 |
|> Thm.close_derivation |
981 |
|> Conjunction.elim_balanced (length goals) |
|
982 |
end) |
|
983 |
end; |
|
63840 | 984 |
|
61344 | 985 |
val rel_flip = rel_flip_of_bnf fp_bnf; |
986 |
||
987 |
fun mk_other_half_rel_distinct_thm thm = |
|
988 |
flip_rels lthy live thm RS (rel_flip RS sym RS @{thm arg_cong[of _ _ Not]} RS iffD2); |
|
989 |
||
990 |
val other_half_rel_distinct_thmss = |
|
991 |
map (map mk_other_half_rel_distinct_thm) half_rel_distinct_thmss; |
|
992 |
val (rel_distinct_thms, _) = |
|
993 |
join_halves n half_rel_distinct_thmss other_half_rel_distinct_thmss; |
|
994 |
||
63841 | 995 |
fun mk_rel_intro_thm m thm = |
996 |
uncurry_thm m (thm RS iffD2) handle THM _ => thm; |
|
997 |
||
998 |
val rel_intro_thms = map2 mk_rel_intro_thm ms rel_inject_thms; |
|
999 |
||
61344 | 1000 |
val rel_code_thms = |
1001 |
map (fn thm => thm RS @{thm eq_False[THEN iffD2]}) rel_distinct_thms @ |
|
1002 |
map2 (fn thm => fn 0 => thm RS @{thm eq_True[THEN iffD2]} | _ => thm) rel_inject_thms ms; |
|
1003 |
||
1004 |
val ctr_transfer_thms = |
|
1005 |
let |
|
1006 |
val goals = map2 (mk_parametricity_goal names_lthy Rs) ctrAs ctrBs; |
|
1007 |
val goal = Logic.mk_conjunction_balanced goals; |
|
1008 |
val vars = Variable.add_free_names lthy goal []; |
|
1009 |
in |
|
1010 |
Goal.prove_sorry lthy vars [] goal |
|
1011 |
(fn {context = ctxt, prems = _} => |
|
1012 |
mk_ctr_transfer_tac ctxt rel_intro_thms live_nesting_rel_eqs) |
|
1013 |
|> Thm.close_derivation |
|
1014 |
|> Conjunction.elim_balanced (length goals) |
|
1015 |
end; |
|
1016 |
||
1017 |
val (set_cases_thms, set_cases_attrss) = |
|
1018 |
let |
|
1019 |
fun mk_prems assms elem t ctxt = |
|
1020 |
(case fastype_of t of |
|
1021 |
Type (type_name, xs) => |
|
1022 |
(case bnf_of ctxt type_name of |
|
1023 |
NONE => ([], ctxt) |
|
1024 |
| SOME bnf => |
|
1025 |
apfst flat (fold_map (fn set => fn ctxt => |
|
1026 |
let |
|
1027 |
val T = HOLogic.dest_setT (range_type (fastype_of set)); |
|
1028 |
val new_var = not (T = fastype_of elem); |
|
1029 |
val (x, ctxt') = |
|
1030 |
if new_var then yield_singleton (mk_Frees "x") T ctxt else (elem, ctxt); |
|
1031 |
in |
|
1032 |
mk_prems (mk_Trueprop_mem (x, set $ t) :: assms) elem x ctxt' |
|
1033 |
|>> map (new_var ? Logic.all x) |
|
1034 |
end) (map (mk_set xs) (sets_of_bnf bnf)) ctxt)) |
|
1035 |
| T => rpair ctxt |
|
63851 | 1036 |
(if T = fastype_of elem then [fold (curry Logic.mk_implies) assms thesis] else [])); |
61344 | 1037 |
in |
1038 |
split_list (map (fn set => |
|
1039 |
let |
|
1040 |
val A = HOLogic.dest_setT (range_type (fastype_of set)); |
|
1041 |
val (elem, names_lthy) = yield_singleton (mk_Frees "e") A names_lthy; |
|
1042 |
val premss = |
|
1043 |
map (fn ctr => |
|
1044 |
let |
|
1045 |
val (args, names_lthy) = |
|
1046 |
mk_Frees "z" (binder_types (fastype_of ctr)) names_lthy; |
|
1047 |
in |
|
1048 |
flat (zipper_map (fn (prev_args, arg, next_args) => |
|
1049 |
let |
|
1050 |
val (args_with_elem, args_without_elem) = |
|
1051 |
if fastype_of arg = A then |
|
1052 |
(prev_args @ [elem] @ next_args, prev_args @ next_args) |
|
1053 |
else |
|
1054 |
`I (prev_args @ [arg] @ next_args); |
|
1055 |
in |
|
1056 |
mk_prems [mk_Trueprop_eq (ta, Term.list_comb (ctr, args_with_elem))] |
|
1057 |
elem arg names_lthy |
|
1058 |
|> fst |
|
1059 |
|> map (fold_rev Logic.all args_without_elem) |
|
1060 |
end) args) |
|
1061 |
end) ctrAs; |
|
1062 |
val goal = Logic.mk_implies (mk_Trueprop_mem (elem, set $ ta), thesis); |
|
1063 |
val vars = Variable.add_free_names lthy goal []; |
|
1064 |
val thm = |
|
1065 |
Goal.prove_sorry lthy vars (flat premss) goal (fn {context = ctxt, prems} => |
|
1066 |
mk_set_cases_tac ctxt (Thm.cterm_of ctxt ta) prems exhaust set_thms) |
|
1067 |
|> Thm.close_derivation |
|
1068 |
|> rotate_prems ~1; |
|
1069 |
||
1070 |
val cases_set_attr = |
|
1071 |
Attrib.internal (K (Induct.cases_pred (name_of_set set))); |
|
1072 |
||
1073 |
val ctr_names = quasi_unambiguous_case_names (flat |
|
1074 |
(map (uncurry mk_names o map_prod length name_of_ctr) (premss ~~ ctrAs))); |
|
1075 |
in |
|
1076 |
(* TODO: @{attributes [elim?]} *) |
|
63019 | 1077 |
(thm, [Attrib.consumes 1, cases_set_attr, Attrib.case_names ctr_names]) |
61344 | 1078 |
end) setAs) |
1079 |
end; |
|
1080 |
||
1081 |
val (set_intros_thmssss, set_intros_thms) = |
|
1082 |
let |
|
1083 |
fun mk_goals A setA ctr_args t ctxt = |
|
1084 |
(case fastype_of t of |
|
1085 |
Type (type_name, innerTs) => |
|
1086 |
(case bnf_of ctxt type_name of |
|
1087 |
NONE => ([], ctxt) |
|
1088 |
| SOME bnf => |
|
1089 |
apfst flat (fold_map (fn set => fn ctxt => |
|
1090 |
let |
|
1091 |
val T = HOLogic.dest_setT (range_type (fastype_of set)); |
|
63838 | 1092 |
val (y, ctxt') = yield_singleton (mk_Frees "y") T ctxt; |
1093 |
val assm = mk_Trueprop_mem (y, set $ t); |
|
61344 | 1094 |
in |
63838 | 1095 |
apfst (map (Logic.mk_implies o pair assm)) (mk_goals A setA ctr_args y ctxt') |
61344 | 1096 |
end) (map (mk_set innerTs) (sets_of_bnf bnf)) ctxt)) |
1097 |
| T => (if T = A then [mk_Trueprop_mem (t, setA $ ctr_args)] else [], ctxt)); |
|
1098 |
||
1099 |
val (goalssss, _) = |
|
1100 |
fold_map (fn set => |
|
1101 |
let val A = HOLogic.dest_setT (range_type (fastype_of set)) in |
|
63838 | 1102 |
@{fold_map 2} (fn ctr => fn xs => |
1103 |
fold_map (mk_goals A set (Term.list_comb (ctr, xs))) xs) |
|
1104 |
ctrAs xss |
|
61344 | 1105 |
end) setAs lthy; |
1106 |
val goals = flat (flat (flat goalssss)); |
|
1107 |
in |
|
63797 | 1108 |
`(unflattt goalssss) |
63851 | 1109 |
(if null goals then |
1110 |
[] |
|
61344 | 1111 |
else |
1112 |
let |
|
1113 |
val goal = Logic.mk_conjunction_balanced goals; |
|
1114 |
val vars = Variable.add_free_names lthy goal []; |
|
1115 |
in |
|
1116 |
Goal.prove_sorry lthy vars [] goal |
|
1117 |
(fn {context = ctxt, prems = _} => mk_set_intros_tac ctxt set0_thms) |
|
1118 |
|> Thm.close_derivation |
|
1119 |
|> Conjunction.elim_balanced (length goals) |
|
1120 |
end) |
|
1121 |
end; |
|
1122 |
||
1123 |
val rel_sel_thms = |
|
1124 |
let |
|
1125 |
val n = length discAs; |
|
1126 |
fun mk_conjunct n k discA selAs discB selBs = |
|
1127 |
(if k = n then [] else [HOLogic.mk_eq (discA $ ta, discB $ tb)]) @ |
|
63851 | 1128 |
(if null selAs then |
1129 |
[] |
|
61344 | 1130 |
else |
1131 |
[Library.foldr HOLogic.mk_imp |
|
1132 |
(if n = 1 then [] else [discA $ ta, discB $ tb], |
|
1133 |
Library.foldr1 HOLogic.mk_conj (map2 (build_rel_app names_lthy Rs []) |
|
1134 |
(map (rapp ta) selAs) (map (rapp tb) selBs)))]); |
|
1135 |
||
1136 |
val goals = |
|
62335 | 1137 |
if n = 0 then |
1138 |
[] |
|
61344 | 1139 |
else |
1140 |
[mk_Trueprop_eq (build_rel_app names_lthy Rs [] ta tb, |
|
1141 |
(case flat (@{map 5} (mk_conjunct n) (1 upto n) discAs selAss discBs selBss) of |
|
1142 |
[] => @{term True} |
|
1143 |
| conjuncts => Library.foldr1 HOLogic.mk_conj conjuncts))]; |
|
1144 |
||
1145 |
fun prove goal = |
|
1146 |
Variable.add_free_names lthy goal [] |
|
1147 |
|> (fn vars => Goal.prove_sorry lthy vars [] goal (fn {context = ctxt, prems = _} => |
|
1148 |
mk_rel_sel_tac ctxt (Thm.cterm_of ctxt ta) (Thm.cterm_of ctxt tb) exhaust |
|
1149 |
(flat disc_thmss) (flat sel_thmss) rel_inject_thms distincts rel_distinct_thms |
|
1150 |
live_nesting_rel_eqs)) |
|
1151 |
|> Thm.close_derivation; |
|
1152 |
in |
|
1153 |
map prove goals |
|
1154 |
end; |
|
1155 |
||
62335 | 1156 |
val (rel_case_thm, rel_case_attrs) = |
61344 | 1157 |
let |
62335 | 1158 |
val thm = derive_rel_case relAsBs rel_inject_thms rel_distinct_thms; |
61344 | 1159 |
val ctr_names = quasi_unambiguous_case_names (map name_of_ctr ctrAs); |
1160 |
in |
|
63019 | 1161 |
(thm, [Attrib.case_names ctr_names, Attrib.consumes 1] @ @{attributes [cases pred]}) |
61344 | 1162 |
end; |
1163 |
||
62335 | 1164 |
val case_transfer_thm = derive_case_transfer rel_case_thm; |
61344 | 1165 |
|
1166 |
val sel_transfer_thms = |
|
62335 | 1167 |
if null selAss then |
1168 |
[] |
|
61344 | 1169 |
else |
58346 | 1170 |
let |
61344 | 1171 |
val shared_sels = foldl1 (uncurry (inter (op =))) (map (op ~~) (selAss ~~ selBss)); |
1172 |
val goals = map (uncurry (mk_parametricity_goal names_lthy Rs)) shared_sels; |
|
58346 | 1173 |
in |
62335 | 1174 |
if null goals then |
1175 |
[] |
|
61344 | 1176 |
else |
1177 |
let |
|
1178 |
val goal = Logic.mk_conjunction_balanced goals; |
|
1179 |
val vars = Variable.add_free_names lthy goal []; |
|
1180 |
in |
|
1181 |
Goal.prove_sorry lthy vars [] goal |
|
1182 |
(fn {context = ctxt, prems = _} => |
|
1183 |
mk_sel_transfer_tac ctxt n sel_defs case_transfer_thm) |
|
1184 |
|> Thm.close_derivation |
|
1185 |
|> Conjunction.elim_balanced (length goals) |
|
1186 |
end |
|
1187 |
end; |
|
1188 |
||
1189 |
val disc_transfer_thms = |
|
1190 |
let val goals = map2 (mk_parametricity_goal names_lthy Rs) discAs discBs in |
|
1191 |
if null goals then |
|
1192 |
[] |
|
58346 | 1193 |
else |
61344 | 1194 |
let |
1195 |
val goal = Logic.mk_conjunction_balanced goals; |
|
1196 |
val vars = Variable.add_free_names lthy goal []; |
|
1197 |
in |
|
1198 |
Goal.prove_sorry lthy vars [] goal |
|
1199 |
(fn {context = ctxt, prems = _} => mk_disc_transfer_tac ctxt |
|
1200 |
(the_single rel_sel_thms) (the_single exhaust_discs) |
|
1201 |
(flat (flat distinct_discsss))) |
|
1202 |
|> Thm.close_derivation |
|
1203 |
|> Conjunction.elim_balanced (length goals) |
|
1204 |
end |
|
1205 |
end; |
|
1206 |
||
1207 |
val map_disc_iff_thms = |
|
58676 | 1208 |
let |
61344 | 1209 |
val discsB = map (mk_disc_or_sel Bs) discs; |
1210 |
val discsA_t = map (fn disc1 => Term.betapply (disc1, ta)) discAs; |
|
1211 |
||
1212 |
fun mk_goal (discA_t, discB) = |
|
1213 |
if head_of discA_t aconv HOLogic.Not orelse is_refl_bool discA_t then |
|
1214 |
NONE |
|
1215 |
else |
|
1216 |
SOME (mk_Trueprop_eq (betapply (discB, (Term.list_comb (mapx, fs) $ ta)), discA_t)); |
|
1217 |
||
1218 |
val goals = map_filter mk_goal (discsA_t ~~ discsB); |
|
58676 | 1219 |
in |
61344 | 1220 |
if null goals then |
1221 |
[] |
|
58676 | 1222 |
else |
61334
8d40ddaa427f
collect the names from goals in favor of fragile exports
traytel
parents:
61301
diff
changeset
|
1223 |
let |
8d40ddaa427f
collect the names from goals in favor of fragile exports
traytel
parents:
61301
diff
changeset
|
1224 |
val goal = Logic.mk_conjunction_balanced goals; |
8d40ddaa427f
collect the names from goals in favor of fragile exports
traytel
parents:
61301
diff
changeset
|
1225 |
val vars = Variable.add_free_names lthy goal []; |
8d40ddaa427f
collect the names from goals in favor of fragile exports
traytel
parents:
61301
diff
changeset
|
1226 |
in |
8d40ddaa427f
collect the names from goals in favor of fragile exports
traytel
parents:
61301
diff
changeset
|
1227 |
Goal.prove_sorry lthy vars [] goal |
8d40ddaa427f
collect the names from goals in favor of fragile exports
traytel
parents:
61301
diff
changeset
|
1228 |
(fn {context = ctxt, prems = _} => |
61344 | 1229 |
mk_map_disc_iff_tac ctxt (Thm.cterm_of ctxt ta) exhaust (flat disc_thmss) |
1230 |
map_thms) |
|
61334
8d40ddaa427f
collect the names from goals in favor of fragile exports
traytel
parents:
61301
diff
changeset
|
1231 |
|> Thm.close_derivation |
8d40ddaa427f
collect the names from goals in favor of fragile exports
traytel
parents:
61301
diff
changeset
|
1232 |
|> Conjunction.elim_balanced (length goals) |
8d40ddaa427f
collect the names from goals in favor of fragile exports
traytel
parents:
61301
diff
changeset
|
1233 |
end |
58676 | 1234 |
end; |
1235 |
||
61344 | 1236 |
val (map_sel_thmss, map_sel_thms) = |
1237 |
let |
|
1238 |
fun mk_goal discA selA selB = |
|
61334
8d40ddaa427f
collect the names from goals in favor of fragile exports
traytel
parents:
61301
diff
changeset
|
1239 |
let |
61344 | 1240 |
val prem = Term.betapply (discA, ta); |
1241 |
val lhs = selB $ (Term.list_comb (mapx, fs) $ ta); |
|
1242 |
val lhsT = fastype_of lhs; |
|
1243 |
val map_rhsT = |
|
1244 |
map_atyps (perhaps (AList.lookup (op =) (map swap live_AsBs))) lhsT; |
|
1245 |
val map_rhs = build_map lthy [] |
|
1246 |
(the o (AList.lookup (op =) (live_AsBs ~~ fs))) (map_rhsT, lhsT); |
|
1247 |
val rhs = (case map_rhs of |
|
1248 |
Const (@{const_name id}, _) => selA $ ta |
|
1249 |
| _ => map_rhs $ (selA $ ta)); |
|
1250 |
val concl = mk_Trueprop_eq (lhs, rhs); |
|
1251 |
in |
|
1252 |
if is_refl_bool prem then concl |
|
1253 |
else Logic.mk_implies (HOLogic.mk_Trueprop prem, concl) |
|
1254 |
end; |
|
1255 |
||
1256 |
val goalss = @{map 3} (map2 o mk_goal) discAs selAss selBss; |
|
1257 |
val goals = flat goalss; |
|
1258 |
in |
|
63797 | 1259 |
`(unflat goalss) |
63851 | 1260 |
(if null goals then |
1261 |
[] |
|
1262 |
else |
|
1263 |
let |
|
1264 |
val goal = Logic.mk_conjunction_balanced goals; |
|
1265 |
val vars = Variable.add_free_names lthy goal []; |
|
1266 |
in |
|
1267 |
Goal.prove_sorry lthy vars [] goal |
|
1268 |
(fn {context = ctxt, prems = _} => |
|
1269 |
mk_map_sel_tac ctxt (Thm.cterm_of ctxt ta) exhaust (flat disc_thmss) |
|
1270 |
map_thms (flat sel_thmss) live_nesting_map_id0s) |
|
1271 |
|> Thm.close_derivation |
|
1272 |
|> Conjunction.elim_balanced (length goals) |
|
1273 |
end) |
|
61344 | 1274 |
end; |
1275 |
||
1276 |
val (set_sel_thmssss, set_sel_thms) = |
|
1277 |
let |
|
1278 |
fun mk_goal setA discA selA ctxt = |
|
1279 |
let |
|
1280 |
val prem = Term.betapply (discA, ta); |
|
1281 |
val sel_rangeT = range_type (fastype_of selA); |
|
1282 |
val A = HOLogic.dest_setT (range_type (fastype_of setA)); |
|
1283 |
||
1284 |
fun travese_nested_types t ctxt = |
|
1285 |
(case fastype_of t of |
|
1286 |
Type (type_name, innerTs) => |
|
1287 |
(case bnf_of ctxt type_name of |
|
1288 |
NONE => ([], ctxt) |
|
1289 |
| SOME bnf => |
|
1290 |
let |
|
1291 |
fun seq_assm a set ctxt = |
|
1292 |
let |
|
1293 |
val T = HOLogic.dest_setT (range_type (fastype_of set)); |
|
1294 |
val (x, ctxt') = yield_singleton (mk_Frees "x") T ctxt; |
|
1295 |
val assm = mk_Trueprop_mem (x, set $ a); |
|
1296 |
in |
|
1297 |
travese_nested_types x ctxt' |
|
1298 |
|>> map (Logic.mk_implies o pair assm) |
|
1299 |
end; |
|
1300 |
in |
|
1301 |
fold_map (seq_assm t o mk_set innerTs) (sets_of_bnf bnf) ctxt |
|
1302 |
|>> flat |
|
1303 |
end) |
|
1304 |
| T => |
|
1305 |
if T = A then ([mk_Trueprop_mem (t, setA $ ta)], ctxt) else ([], ctxt)); |
|
1306 |
||
1307 |
val (concls, ctxt') = |
|
1308 |
if sel_rangeT = A then ([mk_Trueprop_mem (selA $ ta, setA $ ta)], ctxt) |
|
1309 |
else travese_nested_types (selA $ ta) ctxt; |
|
61334
8d40ddaa427f
collect the names from goals in favor of fragile exports
traytel
parents:
61301
diff
changeset
|
1310 |
in |
61344 | 1311 |
if exists_subtype_in [A] sel_rangeT then |
1312 |
if is_refl_bool prem then (concls, ctxt') |
|
1313 |
else (map (Logic.mk_implies o pair (HOLogic.mk_Trueprop prem)) concls, ctxt') |
|
1314 |
else |
|
1315 |
([], ctxt) |
|
1316 |
end; |
|
1317 |
||
1318 |
val (goalssss, _) = |
|
1319 |
fold_map (fn set => @{fold_map 2} (fold_map o mk_goal set) discAs selAss) |
|
1320 |
setAs names_lthy; |
|
1321 |
val goals = flat (flat (flat goalssss)); |
|
1322 |
in |
|
63797 | 1323 |
`(unflattt goalssss) |
63851 | 1324 |
(if null goals then |
1325 |
[] |
|
1326 |
else |
|
1327 |
let |
|
1328 |
val goal = Logic.mk_conjunction_balanced goals; |
|
1329 |
val vars = Variable.add_free_names lthy goal []; |
|
1330 |
in |
|
1331 |
Goal.prove_sorry lthy vars [] goal |
|
1332 |
(fn {context = ctxt, prems = _} => |
|
1333 |
mk_set_sel_tac ctxt (Thm.cterm_of ctxt ta) exhaust (flat disc_thmss) |
|
1334 |
(flat sel_thmss) set0_thms) |
|
1335 |
|> Thm.close_derivation |
|
1336 |
|> Conjunction.elim_balanced (length goals) |
|
1337 |
end) |
|
61344 | 1338 |
end; |
1339 |
||
62335 | 1340 |
val pred_injects = |
1341 |
let |
|
1342 |
fun top_sweep_rewr_conv rewrs = |
|
1343 |
Conv.top_sweep_conv (K (Conv.rewrs_conv rewrs)) @{context}; |
|
1344 |
||
1345 |
val rel_eq_onp_with_tops_of = Conv.fconv_rule (HOLogic.Trueprop_conv (Conv.arg1_conv |
|
1346 |
(top_sweep_rewr_conv @{thms eq_onp_top_eq_eq[symmetric, THEN eq_reflection]}))); |
|
1347 |
||
63845
61a03e429cbd
generalized code towards nonuniform (co)datatypes
blanchet
parents:
63842
diff
changeset
|
1348 |
val eq_onps = map rel_eq_onp_with_tops_of |
61a03e429cbd
generalized code towards nonuniform (co)datatypes
blanchet
parents:
63842
diff
changeset
|
1349 |
(map rel_eq_onp_of_bnf fp_bnfs @ fp_nesting_rel_eq_onps @ live_nesting_rel_eq_onps @ |
61a03e429cbd
generalized code towards nonuniform (co)datatypes
blanchet
parents:
63842
diff
changeset
|
1350 |
fp_nested_rel_eq_onps); |
62335 | 1351 |
val cTs = map (SOME o Thm.ctyp_of lthy) (maps (replicate 2) live_As); |
1352 |
val cts = map (SOME o Thm.cterm_of lthy) (map mk_eq_onp Ps); |
|
1353 |
||
1354 |
val get_rhs = Thm.concl_of #> HOLogic.dest_Trueprop #> HOLogic.dest_eq #> snd; |
|
1355 |
||
1356 |
val pred_eq_onp_conj = |
|
1357 |
List.foldr (fn (_, thm) => thm RS @{thm eq_onp_live_step}) @{thm refl[of True]}; |
|
1358 |
||
1359 |
fun predify_rel_inject rel_inject = |
|
1360 |
let |
|
1361 |
val conjuncts = try (get_rhs #> HOLogic.dest_conj) rel_inject |> the_default []; |
|
1362 |
||
1363 |
fun postproc thm = |
|
63845
61a03e429cbd
generalized code towards nonuniform (co)datatypes
blanchet
parents:
63842
diff
changeset
|
1364 |
if null conjuncts then |
61a03e429cbd
generalized code towards nonuniform (co)datatypes
blanchet
parents:
63842
diff
changeset
|
1365 |
thm RS (@{thm eq_onp_same_args} RS iffD1) |
61a03e429cbd
generalized code towards nonuniform (co)datatypes
blanchet
parents:
63842
diff
changeset
|
1366 |
else |
62335 | 1367 |
@{thm box_equals} OF [thm, @{thm eq_onp_same_args}, |
63845
61a03e429cbd
generalized code towards nonuniform (co)datatypes
blanchet
parents:
63842
diff
changeset
|
1368 |
pred_eq_onp_conj conjuncts |> unfold_thms lthy @{thms simp_thms(21)}]; |
62335 | 1369 |
in |
1370 |
rel_inject |
|
1371 |
|> Thm.instantiate' cTs cts |
|
1372 |
|> Conv.fconv_rule (HOLogic.Trueprop_conv (Conv.arg_conv |
|
1373 |
(Raw_Simplifier.rewrite lthy false |
|
1374 |
@{thms eq_onp_top_eq_eq[symmetric, THEN eq_reflection]}))) |
|
1375 |
|> unfold_thms lthy eq_onps |
|
1376 |
|> postproc |
|
1377 |
|> unfold_thms lthy @{thms top_conj} |
|
1378 |
end; |
|
1379 |
in |
|
1380 |
rel_inject_thms |
|
1381 |
|> map (unfold_thms lthy [@{thm conj_assoc}]) |
|
1382 |
|> map predify_rel_inject |
|
1383 |
|> Proof_Context.export names_lthy lthy |
|
1384 |
end; |
|
1385 |
||
63839 | 1386 |
val code_attrs = |
1387 |
if plugins code_plugin then [Code.add_default_eqn_attrib Code.Equation] else []; |
|
61344 | 1388 |
|
1389 |
val anonymous_notes = |
|
1390 |
[(rel_code_thms, code_attrs @ nitpicksimp_attrs)] |
|
1391 |
|> map (fn (thms, attrs) => ((Binding.empty, attrs), [(thms, [])])); |
|
1392 |
||
1393 |
val notes = |
|
63851 | 1394 |
(if Config.get lthy bnf_internals then |
1395 |
[(set0N, set0_thms, K [])] |
|
1396 |
else |
|
1397 |
[]) @ |
|
61344 | 1398 |
[(case_transferN, [case_transfer_thm], K []), |
1399 |
(ctr_transferN, ctr_transfer_thms, K []), |
|
1400 |
(disc_transferN, disc_transfer_thms, K []), |
|
1401 |
(sel_transferN, sel_transfer_thms, K []), |
|
1402 |
(mapN, map_thms, K (code_attrs @ nitpicksimp_attrs @ simp_attrs)), |
|
1403 |
(map_disc_iffN, map_disc_iff_thms, K simp_attrs), |
|
1404 |
(map_selN, map_sel_thms, K []), |
|
62335 | 1405 |
(pred_injectN, pred_injects, K simp_attrs), |
1406 |
(rel_casesN, [rel_case_thm], K rel_case_attrs), |
|
61344 | 1407 |
(rel_distinctN, rel_distinct_thms, K simp_attrs), |
1408 |
(rel_injectN, rel_inject_thms, K simp_attrs), |
|
1409 |
(rel_introsN, rel_intro_thms, K []), |
|
1410 |
(rel_selN, rel_sel_thms, K []), |
|
61347
2ebdd603cd71
avoid unsound 'nitpick_simp' attribute on nonterminating, nonproductive equations
blanchet
parents:
61344
diff
changeset
|
1411 |
(setN, set_thms, K (code_attrs @ case_fp fp nitpicksimp_attrs [] @ simp_attrs)), |
61344 | 1412 |
(set_casesN, set_cases_thms, nth set_cases_attrss), |
1413 |
(set_introsN, set_intros_thms, K []), |
|
1414 |
(set_selN, set_sel_thms, K [])] |
|
1415 |
|> massage_simple_notes fp_b_name; |
|
1416 |
||
1417 |
val (noted, lthy') = lthy |
|
1418 |
|> Spec_Rules.add Spec_Rules.Equational (`(single o lhs_head_of o hd) map_thms) |
|
1419 |
|> fp = Least_FP |
|
1420 |
? Spec_Rules.add Spec_Rules.Equational (`(single o lhs_head_of o hd) rel_code_thms) |
|
1421 |
|> Spec_Rules.add Spec_Rules.Equational (`(single o lhs_head_of o hd) set0_thms) |
|
1422 |
|> Local_Theory.notes (anonymous_notes @ notes); |
|
1423 |
||
1424 |
val subst = Morphism.thm (substitute_noted_thm noted); |
|
1425 |
in |
|
1426 |
((map subst map_thms, |
|
1427 |
map subst map_disc_iff_thms, |
|
1428 |
map (map subst) map_sel_thmss, |
|
1429 |
map subst rel_inject_thms, |
|
1430 |
map subst rel_distinct_thms, |
|
1431 |
map subst rel_sel_thms, |
|
1432 |
map subst rel_intro_thms, |
|
62335 | 1433 |
[subst rel_case_thm], |
1434 |
map subst pred_injects, |
|
61344 | 1435 |
map subst set_thms, |
1436 |
map (map (map (map subst))) set_sel_thmssss, |
|
1437 |
map (map (map (map subst))) set_intros_thmssss, |
|
1438 |
map subst set_cases_thms, |
|
1439 |
map subst ctr_transfer_thms, |
|
1440 |
[subst case_transfer_thm], |
|
1441 |
map subst disc_transfer_thms, |
|
1442 |
map subst sel_transfer_thms), lthy') |
|
1443 |
end |
|
1444 |
end; |
|
58346 | 1445 |
|
58214 | 1446 |
type lfp_sugar_thms = (thm list * thm * Token.src list) * (thm list list * Token.src list); |
53746
bd038e48526d
have "datatype_new_compat" register induction and recursion theorems in nested case
blanchet
parents:
53741
diff
changeset
|
1447 |
|
55867 | 1448 |
fun morph_lfp_sugar_thms phi ((inducts, induct, induct_attrs), (recss, rec_attrs)) = |
54256 | 1449 |
((map (Morphism.thm phi) inducts, Morphism.thm phi induct, induct_attrs), |
58291 | 1450 |
(map (map (Morphism.thm phi)) recss, rec_attrs)) : lfp_sugar_thms; |
54256 | 1451 |
|
58115 | 1452 |
val transfer_lfp_sugar_thms = morph_lfp_sugar_thms o Morphism.transfer_morphism; |
54256 | 1453 |
|
53746
bd038e48526d
have "datatype_new_compat" register induction and recursion theorems in nested case
blanchet
parents:
53741
diff
changeset
|
1454 |
type gfp_sugar_thms = |
58011
bc6bced136e5
tuned signature -- moved type src to Token, without aliases;
wenzelm
parents:
57999
diff
changeset
|
1455 |
((thm list * thm) list * (Token.src list * Token.src list)) |
57489 | 1456 |
* thm list list |
1457 |
* thm list list |
|
58011
bc6bced136e5
tuned signature -- moved type src to Token, without aliases;
wenzelm
parents:
57999
diff
changeset
|
1458 |
* (thm list list * Token.src list) |
bc6bced136e5
tuned signature -- moved type src to Token, without aliases;
wenzelm
parents:
57999
diff
changeset
|
1459 |
* (thm list list list * Token.src list); |
53746
bd038e48526d
have "datatype_new_compat" register induction and recursion theorems in nested case
blanchet
parents:
53741
diff
changeset
|
1460 |
|
57260
8747af0d1012
fixed postprocessing of 'coinduct' formula to obtain right property format (without needless hypotheses)
blanchet
parents:
57206
diff
changeset
|
1461 |
fun morph_gfp_sugar_thms phi ((coinducts_pairs, coinduct_attrs_pair), |
57983
6edc3529bb4e
reordered some (co)datatype property names for more consistency
blanchet
parents:
57932
diff
changeset
|
1462 |
corecss, corec_discss, (corec_disc_iffss, corec_disc_iff_attrs), |
6edc3529bb4e
reordered some (co)datatype property names for more consistency
blanchet
parents:
57932
diff
changeset
|
1463 |
(corec_selsss, corec_sel_attrs)) = |
54256 | 1464 |
((map (apfst (map (Morphism.thm phi)) o apsnd (Morphism.thm phi)) coinducts_pairs, |
57260
8747af0d1012
fixed postprocessing of 'coinduct' formula to obtain right property format (without needless hypotheses)
blanchet
parents:
57206
diff
changeset
|
1465 |
coinduct_attrs_pair), |
57489 | 1466 |
map (map (Morphism.thm phi)) corecss, |
57983
6edc3529bb4e
reordered some (co)datatype property names for more consistency
blanchet
parents:
57932
diff
changeset
|
1467 |
map (map (Morphism.thm phi)) corec_discss, |
6edc3529bb4e
reordered some (co)datatype property names for more consistency
blanchet
parents:
57932
diff
changeset
|
1468 |
(map (map (Morphism.thm phi)) corec_disc_iffss, corec_disc_iff_attrs), |
6edc3529bb4e
reordered some (co)datatype property names for more consistency
blanchet
parents:
57932
diff
changeset
|
1469 |
(map (map (map (Morphism.thm phi))) corec_selsss, corec_sel_attrs)) : gfp_sugar_thms; |
54256 | 1470 |
|
58115 | 1471 |
val transfer_gfp_sugar_thms = morph_gfp_sugar_thms o Morphism.transfer_morphism; |
54256 | 1472 |
|
58352
37745650a3f4
register 'prod' and 'sum' as datatypes, to allow N2M through them
blanchet
parents:
58347
diff
changeset
|
1473 |
fun unzip_recT (Type (@{type_name prod}, [_, TFree x])) |
37745650a3f4
register 'prod' and 'sum' as datatypes, to allow N2M through them
blanchet
parents:
58347
diff
changeset
|
1474 |
(T as Type (@{type_name prod}, Ts as [_, TFree y])) = |
37745650a3f4
register 'prod' and 'sum' as datatypes, to allow N2M through them
blanchet
parents:
58347
diff
changeset
|
1475 |
if x = y then [T] else Ts |
37745650a3f4
register 'prod' and 'sum' as datatypes, to allow N2M through them
blanchet
parents:
58347
diff
changeset
|
1476 |
| unzip_recT _ (Type (@{type_name prod}, Ts as [_, TFree _])) = Ts |
58159 | 1477 |
| unzip_recT _ T = [T]; |
1478 |
||
61551 | 1479 |
fun mk_recs_args_types ctxt ctr_Tsss Cs absTs repTs ns mss ctor_rec_fun_Ts = |
51832 | 1480 |
let |
52214
4cc5a80bba80
generalized recursors, effectively reverting inductive half of c7a034d01936
blanchet
parents:
52213
diff
changeset
|
1481 |
val Css = map2 replicate ns Cs; |
55869 | 1482 |
val x_Tssss = |
58634
9f10d82e8188
added parameterized ML antiquotations @{map N}, @{fold N}, @{fold_map N}, @{split_list N};
wenzelm
parents:
58586
diff
changeset
|
1483 |
@{map 6} (fn absT => fn repT => fn n => fn ms => fn ctr_Tss => fn ctor_rec_fun_T => |
55803
74d3fe9031d8
joint work with blanchet: intermediate typedef for the input to fp-operations
traytel
parents:
55772
diff
changeset
|
1484 |
map2 (map2 unzip_recT) |
55867 | 1485 |
ctr_Tss (dest_absumprodT absT repT n ms (domain_type ctor_rec_fun_T))) |
1486 |
absTs repTs ns mss ctr_Tsss ctor_rec_fun_Ts; |
|
51832 | 1487 |
|
55869 | 1488 |
val x_Tsss' = map (map flat_rec_arg_args) x_Tssss; |
1489 |
val f_Tss = map2 (map2 (curry (op --->))) x_Tsss' Css; |
|
51832 | 1490 |
|
61551 | 1491 |
val ((fss, xssss), _) = ctxt |
55869 | 1492 |
|> mk_Freess "f" f_Tss |
1493 |
||>> mk_Freessss "x" x_Tssss; |
|
51832 | 1494 |
in |
61551 | 1495 |
(f_Tss, x_Tssss, fss, xssss) |
51832 | 1496 |
end; |
1497 |
||
58159 | 1498 |
fun unzip_corecT (Type (@{type_name sum}, _)) T = [T] |
1499 |
| unzip_corecT _ (Type (@{type_name sum}, Ts)) = Ts |
|
1500 |
| unzip_corecT _ T = [T]; |
|
1501 |
||
55867 | 1502 |
(*avoid "'a itself" arguments in corecursors*) |
55966 | 1503 |
fun repair_nullary_single_ctr [[]] = [[HOLogic.unitT]] |
55772
367ec44763fd
correct most general type for mutual recursion when several identical types are involved
blanchet
parents:
55701
diff
changeset
|
1504 |
| repair_nullary_single_ctr Tss = Tss; |
367ec44763fd
correct most general type for mutual recursion when several identical types are involved
blanchet
parents:
55701
diff
changeset
|
1505 |
|
55867 | 1506 |
fun mk_corec_fun_arg_types0 ctr_Tsss Cs absTs repTs ns mss fun_Ts = |
51829 | 1507 |
let |
55772
367ec44763fd
correct most general type for mutual recursion when several identical types are involved
blanchet
parents:
55701
diff
changeset
|
1508 |
val ctr_Tsss' = map repair_nullary_single_ctr ctr_Tsss; |
55869 | 1509 |
val g_absTs = map range_type fun_Ts; |
61760 | 1510 |
val g_Tsss = |
1511 |
map repair_nullary_single_ctr (@{map 5} dest_absumprodT absTs repTs ns mss g_absTs); |
|
58634
9f10d82e8188
added parameterized ML antiquotations @{map N}, @{fold N}, @{fold_map N}, @{split_list N};
wenzelm
parents:
58586
diff
changeset
|
1512 |
val g_Tssss = @{map 3} (fn C => map2 (map2 (map (curry (op -->) C) oo unzip_corecT))) |
55869 | 1513 |
Cs ctr_Tsss' g_Tsss; |
1514 |
val q_Tssss = map (map (map (fn [_] => [] | [_, T] => [mk_pred1T (domain_type T)]))) g_Tssss; |
|
52870 | 1515 |
in |
55869 | 1516 |
(q_Tssss, g_Tsss, g_Tssss, g_absTs) |
52870 | 1517 |
end; |
51829 | 1518 |
|
55867 | 1519 |
fun mk_corec_p_pred_types Cs ns = map2 (fn n => replicate (Int.max (0, n - 1)) o mk_pred1T) ns Cs; |
52898 | 1520 |
|
55867 | 1521 |
fun mk_corec_fun_arg_types ctr_Tsss Cs absTs repTs ns mss dtor_corec = |
1522 |
(mk_corec_p_pred_types Cs ns, |
|
1523 |
mk_corec_fun_arg_types0 ctr_Tsss Cs absTs repTs ns mss |
|
1524 |
(binder_fun_types (fastype_of dtor_corec))); |
|
51829 | 1525 |
|
61551 | 1526 |
fun mk_corecs_args_types ctxt ctr_Tsss Cs absTs repTs ns mss dtor_corec_fun_Ts = |
55867 | 1527 |
let |
1528 |
val p_Tss = mk_corec_p_pred_types Cs ns; |
|
51829 | 1529 |
|
55869 | 1530 |
val (q_Tssss, g_Tsss, g_Tssss, corec_types) = |
55867 | 1531 |
mk_corec_fun_arg_types0 ctr_Tsss Cs absTs repTs ns mss dtor_corec_fun_Ts; |
51831 | 1532 |
|
61551 | 1533 |
val (((((Free (x, _), cs), pss), qssss), gssss), _) = ctxt |
55869 | 1534 |
|> yield_singleton (mk_Frees "x") dummyT |
52347
ead18e3b2c1b
changed back type of corecursor for nested case, effectively reverting aa66ea552357 and 78a3d5006cf1
blanchet
parents:
52346
diff
changeset
|
1535 |
||>> mk_Frees "a" Cs |
51829 | 1536 |
||>> mk_Freess "p" p_Tss |
55869 | 1537 |
||>> mk_Freessss "q" q_Tssss |
1538 |
||>> mk_Freessss "g" g_Tssss; |
|
51831 | 1539 |
|
1540 |
val cpss = map2 (map o rapp) cs pss; |
|
51829 | 1541 |
|
61551 | 1542 |
fun build_sum_inj mk_inj = build_map ctxt [] (uncurry mk_inj o dest_sumT o snd); |
52347
ead18e3b2c1b
changed back type of corecursor for nested case, effectively reverting aa66ea552357 and 78a3d5006cf1
blanchet
parents:
52346
diff
changeset
|
1543 |
|
55871 | 1544 |
fun build_dtor_corec_arg _ [] [cg] = cg |
1545 |
| build_dtor_corec_arg T [cq] [cg, cg'] = |
|
1546 |
mk_If cq (build_sum_inj Inl_const (fastype_of cg, T) $ cg) |
|
1547 |
(build_sum_inj Inr_const (fastype_of cg', T) $ cg'); |
|
52347
ead18e3b2c1b
changed back type of corecursor for nested case, effectively reverting aa66ea552357 and 78a3d5006cf1
blanchet
parents:
52346
diff
changeset
|
1548 |
|
58634
9f10d82e8188
added parameterized ML antiquotations @{map N}, @{fold N}, @{fold_map N}, @{split_list N};
wenzelm
parents:
58586
diff
changeset
|
1549 |
val pgss = @{map 3} flat_corec_preds_predsss_gettersss pss qssss gssss; |
55869 | 1550 |
val cqssss = map2 (map o map o map o rapp) cs qssss; |
1551 |
val cgssss = map2 (map o map o map o rapp) cs gssss; |
|
58634
9f10d82e8188
added parameterized ML antiquotations @{map N}, @{fold N}, @{fold_map N}, @{split_list N};
wenzelm
parents:
58586
diff
changeset
|
1552 |
val cqgsss = @{map 3} (@{map 3} (@{map 3} build_dtor_corec_arg)) g_Tsss cqssss cgssss; |
51831 | 1553 |
in |
61551 | 1554 |
(x, cs, cpss, (((pgss, pss, qssss, gssss), cqgsss), corec_types)) |
51831 | 1555 |
end; |
51829 | 1556 |
|
61551 | 1557 |
fun mk_co_recs_prelims ctxt fp ctr_Tsss fpTs Cs absTs repTs ns mss xtor_co_recs0 = |
51903 | 1558 |
let |
61551 | 1559 |
val thy = Proof_Context.theory_of ctxt; |
52169 | 1560 |
|
55867 | 1561 |
val (xtor_co_rec_fun_Ts, xtor_co_recs) = |
1562 |
mk_xtor_co_recs thy fp fpTs Cs xtor_co_recs0 |> `(binder_fun_types o fastype_of o hd); |
|
51903 | 1563 |
|
61551 | 1564 |
val (recs_args_types, corecs_args_types) = |
52207
21026c312cc3
tuning -- avoided unreadable true/false all over the place for LFP/GFP
blanchet
parents:
52197
diff
changeset
|
1565 |
if fp = Least_FP then |
61551 | 1566 |
mk_recs_args_types ctxt ctr_Tsss Cs absTs repTs ns mss xtor_co_rec_fun_Ts |
1567 |
|> (rpair NONE o SOME) |
|
51903 | 1568 |
else |
61551 | 1569 |
mk_corecs_args_types ctxt ctr_Tsss Cs absTs repTs ns mss xtor_co_rec_fun_Ts |
1570 |
|> (pair NONE o SOME); |
|
51903 | 1571 |
in |
61551 | 1572 |
(xtor_co_recs, recs_args_types, corecs_args_types) |
51903 | 1573 |
end; |
1574 |
||
55869 | 1575 |
fun mk_preds_getterss_join c cps absT abs cqgss = |
55803
74d3fe9031d8
joint work with blanchet: intermediate typedef for the input to fp-operations
traytel
parents:
55772
diff
changeset
|
1576 |
let |
55869 | 1577 |
val n = length cqgss; |
1578 |
val ts = map2 (mk_absumprod absT abs n) (1 upto n) cqgss; |
|
55803
74d3fe9031d8
joint work with blanchet: intermediate typedef for the input to fp-operations
traytel
parents:
55772
diff
changeset
|
1579 |
in |
74d3fe9031d8
joint work with blanchet: intermediate typedef for the input to fp-operations
traytel
parents:
55772
diff
changeset
|
1580 |
Term.lambda c (mk_IfN absT cps ts) |
51900 | 1581 |
end; |
51886 | 1582 |
|
58210 | 1583 |
fun define_co_rec_as fp Cs fpT b rhs lthy0 = |
51897 | 1584 |
let |
52170
564be617ae84
generalized "mk_co_iter" to handle mutualized (co)iterators
blanchet
parents:
52169
diff
changeset
|
1585 |
val thy = Proof_Context.theory_of lthy0; |
564be617ae84
generalized "mk_co_iter" to handle mutualized (co)iterators
blanchet
parents:
52169
diff
changeset
|
1586 |
|
55864 | 1587 |
val ((cst, (_, def)), (lthy', lthy)) = lthy0 |
61101
7b915ca69af1
use open/close_target rather than Local_Theory.restore to get polymorphic definitions;
traytel
parents:
60801
diff
changeset
|
1588 |
|> Local_Theory.open_target |> snd |
62093 | 1589 |
|> Local_Theory.define |
1590 |
((b, NoSyn), ((Thm.make_def_binding (Config.get lthy0 bnf_internals) b, []), rhs)) |
|
61101
7b915ca69af1
use open/close_target rather than Local_Theory.restore to get polymorphic definitions;
traytel
parents:
60801
diff
changeset
|
1591 |
||> `Local_Theory.close_target; |
52327 | 1592 |
|
1593 |
val phi = Proof_Context.export_morphism lthy lthy'; |
|
1594 |
||
58211
c1f3fa32d322
extended 'datatype_compat' to generate the expected, old-style recursor in the presence of recursion through functions
blanchet
parents:
58210
diff
changeset
|
1595 |
val cst' = mk_co_rec thy fp Cs fpT (Morphism.term phi cst); |
55864 | 1596 |
val def' = Morphism.thm phi def; |
52327 | 1597 |
in |
55864 | 1598 |
((cst', def'), lthy') |
52327 | 1599 |
end; |
1600 |
||
56641
029997d3b5d8
reverted rb458558cbcc2 -- better to keep 'case' and 'rec' distinct, otherwise we lose the connection between 'ctor_rec' (the low-level recursor) and 'rec'
blanchet
parents:
56640
diff
changeset
|
1601 |
fun define_rec (_, _, fss, xssss) mk_binding fpTs Cs reps ctor_rec = |
029997d3b5d8
reverted rb458558cbcc2 -- better to keep 'case' and 'rec' distinct, otherwise we lose the connection between 'ctor_rec' (the low-level recursor) and 'rec'
blanchet
parents:
56640
diff
changeset
|
1602 |
let |
029997d3b5d8
reverted rb458558cbcc2 -- better to keep 'case' and 'rec' distinct, otherwise we lose the connection between 'ctor_rec' (the low-level recursor) and 'rec'
blanchet
parents:
56640
diff
changeset
|
1603 |
val nn = length fpTs; |
029997d3b5d8
reverted rb458558cbcc2 -- better to keep 'case' and 'rec' distinct, otherwise we lose the connection between 'ctor_rec' (the low-level recursor) and 'rec'
blanchet
parents:
56640
diff
changeset
|
1604 |
val (ctor_rec_absTs, fpT) = strip_typeN nn (fastype_of ctor_rec) |
029997d3b5d8
reverted rb458558cbcc2 -- better to keep 'case' and 'rec' distinct, otherwise we lose the connection between 'ctor_rec' (the low-level recursor) and 'rec'
blanchet
parents:
56640
diff
changeset
|
1605 |
|>> map domain_type ||> domain_type; |
029997d3b5d8
reverted rb458558cbcc2 -- better to keep 'case' and 'rec' distinct, otherwise we lose the connection between 'ctor_rec' (the low-level recursor) and 'rec'
blanchet
parents:
56640
diff
changeset
|
1606 |
in |
58210 | 1607 |
define_co_rec_as Least_FP Cs fpT (mk_binding recN) |
56641
029997d3b5d8
reverted rb458558cbcc2 -- better to keep 'case' and 'rec' distinct, otherwise we lose the connection between 'ctor_rec' (the low-level recursor) and 'rec'
blanchet
parents:
56640
diff
changeset
|
1608 |
(fold_rev (fold_rev Term.lambda) fss (Term.list_comb (ctor_rec, |
58634
9f10d82e8188
added parameterized ML antiquotations @{map N}, @{fold N}, @{fold_map N}, @{split_list N};
wenzelm
parents:
58586
diff
changeset
|
1609 |
@{map 4} (fn ctor_rec_absT => fn rep => fn fs => fn xsss => |
56641
029997d3b5d8
reverted rb458558cbcc2 -- better to keep 'case' and 'rec' distinct, otherwise we lose the connection between 'ctor_rec' (the low-level recursor) and 'rec'
blanchet
parents:
56640
diff
changeset
|
1610 |
mk_case_absumprod ctor_rec_absT rep fs (map (map HOLogic.mk_tuple) xsss) |
029997d3b5d8
reverted rb458558cbcc2 -- better to keep 'case' and 'rec' distinct, otherwise we lose the connection between 'ctor_rec' (the low-level recursor) and 'rec'
blanchet
parents:
56640
diff
changeset
|
1611 |
(map flat_rec_arg_args xsss)) |
029997d3b5d8
reverted rb458558cbcc2 -- better to keep 'case' and 'rec' distinct, otherwise we lose the connection between 'ctor_rec' (the low-level recursor) and 'rec'
blanchet
parents:
56640
diff
changeset
|
1612 |
ctor_rec_absTs reps fss xssss))) |
029997d3b5d8
reverted rb458558cbcc2 -- better to keep 'case' and 'rec' distinct, otherwise we lose the connection between 'ctor_rec' (the low-level recursor) and 'rec'
blanchet
parents:
56640
diff
changeset
|
1613 |
end; |
51897 | 1614 |
|
61760 | 1615 |
fun define_corec (_, cs, cpss, (((pgss, _, _, _), cqgsss), f_absTs)) mk_binding fpTs Cs abss |
1616 |
dtor_corec = |
|
51897 | 1617 |
let |
51899 | 1618 |
val nn = length fpTs; |
55867 | 1619 |
val fpT = range_type (snd (strip_typeN nn (fastype_of dtor_corec))); |
51897 | 1620 |
in |
58210 | 1621 |
define_co_rec_as Greatest_FP Cs fpT (mk_binding corecN) |
55869 | 1622 |
(fold_rev (fold_rev Term.lambda) pgss (Term.list_comb (dtor_corec, |
58634
9f10d82e8188
added parameterized ML antiquotations @{map N}, @{fold N}, @{fold_map N}, @{split_list N};
wenzelm
parents:
58586
diff
changeset
|
1623 |
@{map 5} mk_preds_getterss_join cs cpss f_absTs abss cqgsss))) |
52320 | 1624 |
end; |
51897 | 1625 |
|
64576
ce8802dc3145
refactored induction principle generation code, for reuse for nonuniform datatypes
blanchet
parents:
64416
diff
changeset
|
1626 |
fun mk_induct_raw_prem_prems names_lthy Xss setss_fp_nesting (x as Free (s, Type (T_name, Ts0))) |
ce8802dc3145
refactored induction principle generation code, for reuse for nonuniform datatypes
blanchet
parents:
64416
diff
changeset
|
1627 |
(Type (_, Xs_Ts0)) = |
ce8802dc3145
refactored induction principle generation code, for reuse for nonuniform datatypes
blanchet
parents:
64416
diff
changeset
|
1628 |
(case AList.lookup (op =) setss_fp_nesting T_name of |
ce8802dc3145
refactored induction principle generation code, for reuse for nonuniform datatypes
blanchet
parents:
64416
diff
changeset
|
1629 |
NONE => [] |
ce8802dc3145
refactored induction principle generation code, for reuse for nonuniform datatypes
blanchet
parents:
64416
diff
changeset
|
1630 |
| SOME raw_sets0 => |
ce8802dc3145
refactored induction principle generation code, for reuse for nonuniform datatypes
blanchet
parents:
64416
diff
changeset
|
1631 |
let |
ce8802dc3145
refactored induction principle generation code, for reuse for nonuniform datatypes
blanchet
parents:
64416
diff
changeset
|
1632 |
val (Xs_Ts, (Ts, raw_sets)) = |
ce8802dc3145
refactored induction principle generation code, for reuse for nonuniform datatypes
blanchet
parents:
64416
diff
changeset
|
1633 |
filter (exists_subtype_in (flat Xss) o fst) (Xs_Ts0 ~~ (Ts0 ~~ raw_sets0)) |
ce8802dc3145
refactored induction principle generation code, for reuse for nonuniform datatypes
blanchet
parents:
64416
diff
changeset
|
1634 |
|> split_list ||> split_list; |
ce8802dc3145
refactored induction principle generation code, for reuse for nonuniform datatypes
blanchet
parents:
64416
diff
changeset
|
1635 |
val sets = map (mk_set Ts0) raw_sets; |
ce8802dc3145
refactored induction principle generation code, for reuse for nonuniform datatypes
blanchet
parents:
64416
diff
changeset
|
1636 |
val (ys, names_lthy') = names_lthy |> mk_Frees s Ts; |
ce8802dc3145
refactored induction principle generation code, for reuse for nonuniform datatypes
blanchet
parents:
64416
diff
changeset
|
1637 |
val xysets = map (pair x) (ys ~~ sets); |
ce8802dc3145
refactored induction principle generation code, for reuse for nonuniform datatypes
blanchet
parents:
64416
diff
changeset
|
1638 |
val ppremss = map2 (mk_induct_raw_prem_prems names_lthy' Xss setss_fp_nesting) ys Xs_Ts; |
ce8802dc3145
refactored induction principle generation code, for reuse for nonuniform datatypes
blanchet
parents:
64416
diff
changeset
|
1639 |
in |
ce8802dc3145
refactored induction principle generation code, for reuse for nonuniform datatypes
blanchet
parents:
64416
diff
changeset
|
1640 |
flat (map2 (map o apfst o cons) xysets ppremss) |
ce8802dc3145
refactored induction principle generation code, for reuse for nonuniform datatypes
blanchet
parents:
64416
diff
changeset
|
1641 |
end) |
ce8802dc3145
refactored induction principle generation code, for reuse for nonuniform datatypes
blanchet
parents:
64416
diff
changeset
|
1642 |
| mk_induct_raw_prem_prems _ Xss _ (x as Free (_, Type _)) X = |
ce8802dc3145
refactored induction principle generation code, for reuse for nonuniform datatypes
blanchet
parents:
64416
diff
changeset
|
1643 |
[([], (find_index (fn Xs => member (op =) Xs X) Xss + 1, x))] |
ce8802dc3145
refactored induction principle generation code, for reuse for nonuniform datatypes
blanchet
parents:
64416
diff
changeset
|
1644 |
| mk_induct_raw_prem_prems _ _ _ _ _ = []; |
ce8802dc3145
refactored induction principle generation code, for reuse for nonuniform datatypes
blanchet
parents:
64416
diff
changeset
|
1645 |
|
ce8802dc3145
refactored induction principle generation code, for reuse for nonuniform datatypes
blanchet
parents:
64416
diff
changeset
|
1646 |
fun mk_induct_raw_prem names_lthy Xss setss_fp_nesting p ctr ctr_Ts ctrXs_Ts = |
ce8802dc3145
refactored induction principle generation code, for reuse for nonuniform datatypes
blanchet
parents:
64416
diff
changeset
|
1647 |
let |
ce8802dc3145
refactored induction principle generation code, for reuse for nonuniform datatypes
blanchet
parents:
64416
diff
changeset
|
1648 |
val (xs, names_lthy') = names_lthy |> mk_Frees "x" ctr_Ts; |
ce8802dc3145
refactored induction principle generation code, for reuse for nonuniform datatypes
blanchet
parents:
64416
diff
changeset
|
1649 |
val pprems = |
ce8802dc3145
refactored induction principle generation code, for reuse for nonuniform datatypes
blanchet
parents:
64416
diff
changeset
|
1650 |
flat (map2 (mk_induct_raw_prem_prems names_lthy' Xss setss_fp_nesting) xs ctrXs_Ts); |
ce8802dc3145
refactored induction principle generation code, for reuse for nonuniform datatypes
blanchet
parents:
64416
diff
changeset
|
1651 |
in (xs, pprems, HOLogic.mk_Trueprop (p $ Term.list_comb (ctr, xs))) end; |
ce8802dc3145
refactored induction principle generation code, for reuse for nonuniform datatypes
blanchet
parents:
64416
diff
changeset
|
1652 |
|
ce8802dc3145
refactored induction principle generation code, for reuse for nonuniform datatypes
blanchet
parents:
64416
diff
changeset
|
1653 |
fun close_induct_prem_prem nn ps xs t = |
ce8802dc3145
refactored induction principle generation code, for reuse for nonuniform datatypes
blanchet
parents:
64416
diff
changeset
|
1654 |
fold_rev Logic.all (map Free (drop (nn + length xs) |
ce8802dc3145
refactored induction principle generation code, for reuse for nonuniform datatypes
blanchet
parents:
64416
diff
changeset
|
1655 |
(rev (Term.add_frees t (map dest_Free xs @ map_filter (try dest_Free) ps))))) t; |
ce8802dc3145
refactored induction principle generation code, for reuse for nonuniform datatypes
blanchet
parents:
64416
diff
changeset
|
1656 |
|
ce8802dc3145
refactored induction principle generation code, for reuse for nonuniform datatypes
blanchet
parents:
64416
diff
changeset
|
1657 |
fun finish_induct_prem_prem lthy nn ps xs (xysets, (j, x)) = |
ce8802dc3145
refactored induction principle generation code, for reuse for nonuniform datatypes
blanchet
parents:
64416
diff
changeset
|
1658 |
close_induct_prem_prem nn ps xs (Logic.list_implies (map (fn (x', (y, set)) => |
ce8802dc3145
refactored induction principle generation code, for reuse for nonuniform datatypes
blanchet
parents:
64416
diff
changeset
|
1659 |
mk_Trueprop_mem (y, set $ x')) xysets, |
ce8802dc3145
refactored induction principle generation code, for reuse for nonuniform datatypes
blanchet
parents:
64416
diff
changeset
|
1660 |
HOLogic.mk_Trueprop (enforce_type lthy domain_type (fastype_of x) (nth ps (j - 1)) $ x))); |
ce8802dc3145
refactored induction principle generation code, for reuse for nonuniform datatypes
blanchet
parents:
64416
diff
changeset
|
1661 |
|
ce8802dc3145
refactored induction principle generation code, for reuse for nonuniform datatypes
blanchet
parents:
64416
diff
changeset
|
1662 |
fun finish_induct_prem lthy nn ps (xs, raw_pprems, concl) = |
ce8802dc3145
refactored induction principle generation code, for reuse for nonuniform datatypes
blanchet
parents:
64416
diff
changeset
|
1663 |
fold_rev Logic.all xs (Logic.list_implies |
ce8802dc3145
refactored induction principle generation code, for reuse for nonuniform datatypes
blanchet
parents:
64416
diff
changeset
|
1664 |
(map (finish_induct_prem_prem lthy nn ps xs) raw_pprems, concl)); |
ce8802dc3145
refactored induction principle generation code, for reuse for nonuniform datatypes
blanchet
parents:
64416
diff
changeset
|
1665 |
|
62158
c25c62055180
generate stronger 'rel_(co)induct' and 'coinduct' principles for mutually (co)recursive (co)datatypes
blanchet
parents:
62093
diff
changeset
|
1666 |
fun postproc_co_induct ctxt nn prop prop_conj = |
57471 | 1667 |
Drule.zero_var_indexes |
1668 |
#> `(conj_dests nn) |
|
58472 | 1669 |
#>> map (fn thm => Thm.permute_prems 0 ~1 (thm RS prop)) |
1670 |
##> (fn thm => Thm.permute_prems 0 (~ nn) |
|
57471 | 1671 |
(if nn = 1 then thm RS prop |
62158
c25c62055180
generate stronger 'rel_(co)induct' and 'coinduct' principles for mutually (co)recursive (co)datatypes
blanchet
parents:
62093
diff
changeset
|
1672 |
else funpow nn (fn thm => unfold_thms ctxt @{thms conj_assoc} (thm RS prop_conj)) thm)); |
57471 | 1673 |
|
1674 |
fun mk_induct_attrs ctrss = |
|
63019 | 1675 |
let val induct_cases = quasi_unambiguous_case_names (maps (map name_of_ctr) ctrss); |
1676 |
in [Attrib.case_names induct_cases] end; |
|
57471 | 1677 |
|
62158
c25c62055180
generate stronger 'rel_(co)induct' and 'coinduct' principles for mutually (co)recursive (co)datatypes
blanchet
parents:
62093
diff
changeset
|
1678 |
fun derive_rel_induct_thms_for_types lthy nn fpA_Ts As Bs ctrAss ctrAs_Tsss exhausts ctor_rel_induct |
57535 | 1679 |
ctor_defss ctor_injects pre_rel_defs abs_inverses live_nesting_rel_eqs = |
57471 | 1680 |
let |
58446 | 1681 |
val B_ify_T = Term.typ_subst_atomic (As ~~ Bs); |
63839 | 1682 |
val B_ify = Term.map_types B_ify_T; |
58446 | 1683 |
|
1684 |
val fpB_Ts = map B_ify_T fpA_Ts; |
|
1685 |
val ctrBs_Tsss = map (map (map B_ify_T)) ctrAs_Tsss; |
|
1686 |
val ctrBss = map (map B_ify) ctrAss; |
|
57471 | 1687 |
|
1688 |
val ((((Rs, IRs), ctrAsss), ctrBsss), names_lthy) = lthy |
|
1689 |
|> mk_Frees "R" (map2 mk_pred2T As Bs) |
|
1690 |
||>> mk_Frees "IR" (map2 mk_pred2T fpA_Ts fpB_Ts) |
|
1691 |
||>> mk_Freesss "a" ctrAs_Tsss |
|
1692 |
||>> mk_Freesss "b" ctrBs_Tsss; |
|
1693 |
||
58291 | 1694 |
val prems = |
57471 | 1695 |
let |
1696 |
fun mk_prem ctrA ctrB argAs argBs = |
|
1697 |
fold_rev Logic.all (argAs @ argBs) (fold_rev (curry Logic.mk_implies) |
|
57565 | 1698 |
(map2 (HOLogic.mk_Trueprop oo build_rel_app names_lthy (Rs @ IRs) fpA_Ts) argAs argBs) |
1699 |
(HOLogic.mk_Trueprop (build_rel_app names_lthy (Rs @ IRs) fpA_Ts |
|
1700 |
(Term.list_comb (ctrA, argAs)) (Term.list_comb (ctrB, argBs))))); |
|
57471 | 1701 |
in |
58634
9f10d82e8188
added parameterized ML antiquotations @{map N}, @{fold N}, @{fold_map N}, @{split_list N};
wenzelm
parents:
58586
diff
changeset
|
1702 |
flat (@{map 4} (@{map 4} mk_prem) ctrAss ctrBss ctrAsss ctrBsss) |
57471 | 1703 |
end; |
1704 |
||
57525 | 1705 |
val goal = HOLogic.mk_Trueprop (Library.foldr1 HOLogic.mk_conj (map2 mk_leq |
62385 | 1706 |
(map2 (build_the_rel lthy (Rs @ IRs) []) fpA_Ts fpB_Ts) IRs)); |
61334
8d40ddaa427f
collect the names from goals in favor of fragile exports
traytel
parents:
61301
diff
changeset
|
1707 |
val vars = Variable.add_free_names lthy goal []; |
57471 | 1708 |
|
57898
f7f75b33d6c8
avoid needless (and wrong w.r.t. sorts) generation of type variables; tuned whitespaces;
blanchet
parents:
57893
diff
changeset
|
1709 |
val rel_induct0_thm = |
61334
8d40ddaa427f
collect the names from goals in favor of fragile exports
traytel
parents:
61301
diff
changeset
|
1710 |
Goal.prove_sorry lthy vars prems goal (fn {context = ctxt, prems} => |
61760 | 1711 |
mk_rel_induct0_tac ctxt ctor_rel_induct prems (map (Thm.cterm_of ctxt) IRs) exhausts |
1712 |
ctor_defss ctor_injects pre_rel_defs abs_inverses live_nesting_rel_eqs) |
|
57471 | 1713 |
|> Thm.close_derivation; |
1714 |
in |
|
62158
c25c62055180
generate stronger 'rel_(co)induct' and 'coinduct' principles for mutually (co)recursive (co)datatypes
blanchet
parents:
62093
diff
changeset
|
1715 |
(postproc_co_induct lthy nn @{thm predicate2D} @{thm predicate2D_conj} rel_induct0_thm, |
57471 | 1716 |
mk_induct_attrs ctrAss) |
1717 |
end; |
|
1718 |
||
58335
a5a3b576fcfb
generate 'code' attribute only if 'code' plugin is enabled
blanchet
parents:
58332
diff
changeset
|
1719 |
fun derive_induct_recs_thms_for_types plugins pre_bnfs rec_args_typess ctor_induct ctor_rec_thms |
57397 | 1720 |
live_nesting_bnfs fp_nesting_bnfs fpTs Cs Xs ctrXs_Tsss fp_abs_inverses fp_type_definitions |
1721 |
abs_inverses ctrss ctr_defss recs rec_defs 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
|
1722 |
let |
51827 | 1723 |
val ctr_Tsss = map (map (binder_types o fastype_of)) ctrss; |
1724 |
||
51815 | 1725 |
val nn = length pre_bnfs; |
51827 | 1726 |
val ns = map length ctr_Tsss; |
1727 |
val mss = map (map length) ctr_Tsss; |
|
51815 | 1728 |
|
51808
355dcd6a9b3c
factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents:
51805
diff
changeset
|
1729 |
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
|
1730 |
val pre_set_defss = map set_defs_of_bnf pre_bnfs; |
57399 | 1731 |
val live_nesting_map_ident0s = map map_ident0_of_bnf live_nesting_bnfs; |
1732 |
val fp_nesting_map_ident0s = map map_ident0_of_bnf fp_nesting_bnfs; |
|
57397 | 1733 |
val fp_nesting_set_maps = maps set_map_of_bnf fp_nesting_bnfs; |
51808
355dcd6a9b3c
factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents:
51805
diff
changeset
|
1734 |
|
51816 | 1735 |
val fp_b_names = map base_name_of_typ fpTs; |
51811 | 1736 |
|
64576
ce8802dc3145
refactored induction principle generation code, for reuse for nonuniform datatypes
blanchet
parents:
64416
diff
changeset
|
1737 |
val (((ps, xsss), us'), names_lthy) = lthy |
ce8802dc3145
refactored induction principle generation code, for reuse for nonuniform datatypes
blanchet
parents:
64416
diff
changeset
|
1738 |
|> mk_Frees "P" (map mk_pred1T fpTs) |
51827 | 1739 |
||>> mk_Freesss "x" ctr_Tsss |
51816 | 1740 |
||>> 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
|
1741 |
|
355dcd6a9b3c
factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents:
51805
diff
changeset
|
1742 |
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
|
1743 |
|
64576
ce8802dc3145
refactored induction principle generation code, for reuse for nonuniform datatypes
blanchet
parents:
64416
diff
changeset
|
1744 |
val setss_fp_nesting = map mk_bnf_sets fp_nesting_bnfs; |
51808
355dcd6a9b3c
factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents:
51805
diff
changeset
|
1745 |
|
355dcd6a9b3c
factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents:
51805
diff
changeset
|
1746 |
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
|
1747 |
let |
64576
ce8802dc3145
refactored induction principle generation code, for reuse for nonuniform datatypes
blanchet
parents:
64416
diff
changeset
|
1748 |
val raw_premss = @{map 4} (@{map 3} |
ce8802dc3145
refactored induction principle generation code, for reuse for nonuniform datatypes
blanchet
parents:
64416
diff
changeset
|
1749 |
o mk_induct_raw_prem names_lthy (map single Xs) setss_fp_nesting) |
ce8802dc3145
refactored induction principle generation code, for reuse for nonuniform datatypes
blanchet
parents:
64416
diff
changeset
|
1750 |
ps ctrss ctr_Tsss ctrXs_Tsss; |
ce8802dc3145
refactored induction principle generation code, for reuse for nonuniform datatypes
blanchet
parents:
64416
diff
changeset
|
1751 |
val concl = |
ce8802dc3145
refactored induction principle generation code, for reuse for nonuniform datatypes
blanchet
parents:
64416
diff
changeset
|
1752 |
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
|
1753 |
val goal = |
64576
ce8802dc3145
refactored induction principle generation code, for reuse for nonuniform datatypes
blanchet
parents:
64416
diff
changeset
|
1754 |
Library.foldr (Logic.list_implies o apfst (map (finish_induct_prem lthy nn ps))) |
ce8802dc3145
refactored induction principle generation code, for reuse for nonuniform datatypes
blanchet
parents:
64416
diff
changeset
|
1755 |
(raw_premss, concl); |
61334
8d40ddaa427f
collect the names from goals in favor of fragile exports
traytel
parents:
61301
diff
changeset
|
1756 |
val vars = Variable.add_free_names lthy goal []; |
51808
355dcd6a9b3c
factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents:
51805
diff
changeset
|
1757 |
|
355dcd6a9b3c
factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents:
51805
diff
changeset
|
1758 |
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
|
1759 |
|
55803
74d3fe9031d8
joint work with blanchet: intermediate typedef for the input to fp-operations
traytel
parents:
55772
diff
changeset
|
1760 |
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
|
1761 |
|
355dcd6a9b3c
factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents:
51805
diff
changeset
|
1762 |
val thm = |
61334
8d40ddaa427f
collect the names from goals in favor of fragile exports
traytel
parents:
61301
diff
changeset
|
1763 |
Goal.prove_sorry lthy vars [] goal (fn {context = ctxt, ...} => |
55803
74d3fe9031d8
joint work with blanchet: intermediate typedef for the input to fp-operations
traytel
parents:
55772
diff
changeset
|
1764 |
mk_induct_tac ctxt nn ns mss kksss (flat ctr_defss) ctor_induct' fp_abs_inverses |
57397 | 1765 |
abs_inverses fp_nesting_set_maps pre_set_defss) |
61334
8d40ddaa427f
collect the names from goals in favor of fragile exports
traytel
parents:
61301
diff
changeset
|
1766 |
|> Thm.close_derivation; |
51808
355dcd6a9b3c
factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents:
51805
diff
changeset
|
1767 |
in |
355dcd6a9b3c
factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents:
51805
diff
changeset
|
1768 |
`(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
|
1769 |
end; |
355dcd6a9b3c
factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents:
51805
diff
changeset
|
1770 |
|
52305 | 1771 |
val xctrss = map2 (map2 (curry Term.list_comb)) ctrss xsss; |
1772 |
||
55867 | 1773 |
fun mk_rec_thmss (_, x_Tssss, fss, _) recs rec_defs ctor_rec_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
|
1774 |
let |
55867 | 1775 |
val frecs = map (lists_bmoc fss) recs; |
51808
355dcd6a9b3c
factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents:
51805
diff
changeset
|
1776 |
|
55871 | 1777 |
fun mk_goal frec 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
|
1778 |
fold_rev (fold_rev Logic.all) (xs :: fss) |
55867 | 1779 |
(mk_Trueprop_eq (frec $ 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
|
1780 |
|
52302 | 1781 |
fun maybe_tick (T, U) u f = |
1782 |
if try (fst o HOLogic.dest_prodT) U = SOME T then |
|
1783 |
Term.lambda u (HOLogic.mk_prod (u, f $ u)) |
|
1784 |
else |
|
1785 |
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
|
1786 |
|
55867 | 1787 |
fun build_rec (x as Free (_, T)) U = |
52368 | 1788 |
if T = U then |
1789 |
x |
|
1790 |
else |
|
58352
37745650a3f4
register 'prod' and 'sum' as datatypes, to allow N2M through them
blanchet
parents:
58347
diff
changeset
|
1791 |
let |
37745650a3f4
register 'prod' and 'sum' as datatypes, to allow N2M through them
blanchet
parents:
58347
diff
changeset
|
1792 |
val build_simple = |
37745650a3f4
register 'prod' and 'sum' as datatypes, to allow N2M through them
blanchet
parents:
58347
diff
changeset
|
1793 |
indexify (perhaps (try (snd o HOLogic.dest_prodT)) o snd) Cs |
37745650a3f4
register 'prod' and 'sum' as datatypes, to allow N2M through them
blanchet
parents:
58347
diff
changeset
|
1794 |
(fn kk => fn TU => maybe_tick TU (nth us kk) (nth frecs kk)); |
37745650a3f4
register 'prod' and 'sum' as datatypes, to allow N2M through them
blanchet
parents:
58347
diff
changeset
|
1795 |
in |
37745650a3f4
register 'prod' and 'sum' as datatypes, to allow N2M through them
blanchet
parents:
58347
diff
changeset
|
1796 |
build_map lthy [] build_simple (T, U) $ x |
37745650a3f4
register 'prod' and 'sum' as datatypes, to allow N2M through them
blanchet
parents:
58347
diff
changeset
|
1797 |
end; |
52301
7935e82a4ae4
simpler, more robust iterator goal construction code
blanchet
parents:
52300
diff
changeset
|
1798 |
|
55867 | 1799 |
val fxsss = map2 (map2 (flat_rec_arg_args oo map2 (map o build_rec))) xsss x_Tssss; |
58634
9f10d82e8188
added parameterized ML antiquotations @{map N}, @{fold N}, @{fold_map N}, @{split_list N};
wenzelm
parents:
58586
diff
changeset
|
1800 |
val goalss = @{map 5} (@{map 4} o mk_goal) frecs 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
|
1801 |
|
58634
9f10d82e8188
added parameterized ML antiquotations @{map N}, @{fold N}, @{fold_map N}, @{split_list N};
wenzelm
parents:
58586
diff
changeset
|
1802 |
val tacss = @{map 4} (map ooo |
57399 | 1803 |
mk_rec_tac pre_map_defs (fp_nesting_map_ident0s @ live_nesting_map_ident0s) rec_defs) |
55867 | 1804 |
ctor_rec_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
|
1805 |
|
355dcd6a9b3c
factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents:
51805
diff
changeset
|
1806 |
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
|
1807 |
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
|
1808 |
|> 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
|
1809 |
in |
52305 | 1810 |
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
|
1811 |
end; |
355dcd6a9b3c
factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents:
51805
diff
changeset
|
1812 |
|
56641
029997d3b5d8
reverted rb458558cbcc2 -- better to keep 'case' and 'rec' distinct, otherwise we lose the connection between 'ctor_rec' (the low-level recursor) and 'rec'
blanchet
parents:
56640
diff
changeset
|
1813 |
val rec_thmss = mk_rec_thmss (the rec_args_typess) recs rec_defs ctor_rec_thms; |
58335
a5a3b576fcfb
generate 'code' attribute only if 'code' plugin is enabled
blanchet
parents:
58332
diff
changeset
|
1814 |
|
63839 | 1815 |
val code_attrs = |
1816 |
if plugins code_plugin then [Code.add_default_eqn_attrib Code.Equation] else []; |
|
51808
355dcd6a9b3c
factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents:
51805
diff
changeset
|
1817 |
in |
57471 | 1818 |
((induct_thms, induct_thm, mk_induct_attrs ctrss), |
58335
a5a3b576fcfb
generate 'code' attribute only if 'code' plugin is enabled
blanchet
parents:
58332
diff
changeset
|
1819 |
(rec_thmss, code_attrs @ 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
|
1820 |
end; |
355dcd6a9b3c
factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents:
51805
diff
changeset
|
1821 |
|
58283
71d74e641538
preserve case names in '(co)induct' theorems generated by prim(co)rec'
blanchet
parents:
58267
diff
changeset
|
1822 |
fun mk_coinduct_attrs fpTs ctrss discss mss = |
57302 | 1823 |
let |
1824 |
val fp_b_names = map base_name_of_typ fpTs; |
|
57535 | 1825 |
|
57302 | 1826 |
fun mk_coinduct_concls ms discs ctrs = |
1827 |
let |
|
1828 |
fun mk_disc_concl disc = [name_of_disc disc]; |
|
1829 |
fun mk_ctr_concl 0 _ = [] |
|
58284
f9b6af3017fd
nicer case names in the N2M case, similar to those generated by the old package (e.g. 'Cons_tree' instead of just 'Cons')
blanchet
parents:
58283
diff
changeset
|
1830 |
| mk_ctr_concl _ ctr = [name_of_ctr ctr]; |
57302 | 1831 |
val disc_concls = map mk_disc_concl (fst (split_last discs)) @ [[]]; |
1832 |
val ctr_concls = map2 mk_ctr_concl ms ctrs; |
|
1833 |
in |
|
1834 |
flat (map2 append disc_concls ctr_concls) |
|
1835 |
end; |
|
57535 | 1836 |
|
62321
1abe81758619
keep 'ctor_iff_dtor' theorem around in BNF FP database
blanchet
parents:
62320
diff
changeset
|
1837 |
val coinduct_cases = quasi_unambiguous_case_names (map (prefix Eq_prefix) fp_b_names); |
57302 | 1838 |
val coinduct_conclss = |
58634
9f10d82e8188
added parameterized ML antiquotations @{map N}, @{fold N}, @{fold_map N}, @{split_list N};
wenzelm
parents:
58586
diff
changeset
|
1839 |
@{map 3} (quasi_unambiguous_case_names ooo mk_coinduct_concls) mss discss ctrss; |
57302 | 1840 |
|
63019 | 1841 |
val coinduct_case_names_attr = Attrib.case_names coinduct_cases; |
57302 | 1842 |
val coinduct_case_concl_attrs = |
63019 | 1843 |
map2 (fn casex => fn concls => Attrib.case_conclusion (casex, concls)) |
57302 | 1844 |
coinduct_cases coinduct_conclss; |
1845 |
||
62158
c25c62055180
generate stronger 'rel_(co)induct' and 'coinduct' principles for mutually (co)recursive (co)datatypes
blanchet
parents:
62093
diff
changeset
|
1846 |
val common_coinduct_attrs = coinduct_case_names_attr :: coinduct_case_concl_attrs; |
63019 | 1847 |
val coinduct_attrs = Attrib.consumes 1 :: coinduct_case_names_attr :: coinduct_case_concl_attrs; |
57302 | 1848 |
in |
1849 |
(coinduct_attrs, common_coinduct_attrs) |
|
1850 |
end; |
|
1851 |
||
62158
c25c62055180
generate stronger 'rel_(co)induct' and 'coinduct' principles for mutually (co)recursive (co)datatypes
blanchet
parents:
62093
diff
changeset
|
1852 |
fun derive_rel_coinduct_thms_for_types lthy nn fpA_Ts ns As Bs mss (ctr_sugars : ctr_sugar list) |
57535 | 1853 |
abs_inverses abs_injects ctor_injects dtor_ctors rel_pre_defs ctor_defss dtor_rel_coinduct |
1854 |
live_nesting_rel_eqs = |
|
57301
7b997028aaac
generate 'rel_coinduct0' theorem for codatatypes
desharna
parents:
57279
diff
changeset
|
1855 |
let |
58446 | 1856 |
val B_ify_T = Term.typ_subst_atomic (As ~~ Bs); |
1857 |
val fpB_Ts = map B_ify_T fpA_Ts; |
|
57301
7b997028aaac
generate 'rel_coinduct0' theorem for codatatypes
desharna
parents:
57279
diff
changeset
|
1858 |
|
61334
8d40ddaa427f
collect the names from goals in favor of fragile exports
traytel
parents:
61301
diff
changeset
|
1859 |
val (Rs, IRs, fpAs, fpBs, _) = |
57301
7b997028aaac
generate 'rel_coinduct0' theorem for codatatypes
desharna
parents:
57279
diff
changeset
|
1860 |
let |
7b997028aaac
generate 'rel_coinduct0' theorem for codatatypes
desharna
parents:
57279
diff
changeset
|
1861 |
val fp_names = map base_name_of_typ fpA_Ts; |
7b997028aaac
generate 'rel_coinduct0' theorem for codatatypes
desharna
parents:
57279
diff
changeset
|
1862 |
val ((((Rs, IRs), fpAs_names), fpBs_names), names_lthy) = lthy |
7b997028aaac
generate 'rel_coinduct0' theorem for codatatypes
desharna
parents:
57279
diff
changeset
|
1863 |
|> mk_Frees "R" (map2 mk_pred2T As Bs) |
7b997028aaac
generate 'rel_coinduct0' theorem for codatatypes
desharna
parents:
57279
diff
changeset
|
1864 |
||>> mk_Frees "IR" (map2 mk_pred2T fpA_Ts fpB_Ts) |
7b997028aaac
generate 'rel_coinduct0' theorem for codatatypes
desharna
parents:
57279
diff
changeset
|
1865 |
||>> Variable.variant_fixes fp_names |
7b997028aaac
generate 'rel_coinduct0' theorem for codatatypes
desharna
parents:
57279
diff
changeset
|
1866 |
||>> Variable.variant_fixes (map (suffix "'") fp_names); |
7b997028aaac
generate 'rel_coinduct0' theorem for codatatypes
desharna
parents:
57279
diff
changeset
|
1867 |
in |
58291 | 1868 |
(Rs, IRs, map2 (curry Free) fpAs_names fpA_Ts, map2 (curry Free) fpBs_names fpB_Ts, |
1869 |
names_lthy) |
|
57301
7b997028aaac
generate 'rel_coinduct0' theorem for codatatypes
desharna
parents:
57279
diff
changeset
|
1870 |
end; |
7b997028aaac
generate 'rel_coinduct0' theorem for codatatypes
desharna
parents:
57279
diff
changeset
|
1871 |
|
7b997028aaac
generate 'rel_coinduct0' theorem for codatatypes
desharna
parents:
57279
diff
changeset
|
1872 |
val ((discA_tss, selA_tsss), (discB_tss, selB_tsss)) = |
7b997028aaac
generate 'rel_coinduct0' theorem for codatatypes
desharna
parents:
57279
diff
changeset
|
1873 |
let |
7b997028aaac
generate 'rel_coinduct0' theorem for codatatypes
desharna
parents:
57279
diff
changeset
|
1874 |
val discss = map #discs ctr_sugars; |
7b997028aaac
generate 'rel_coinduct0' theorem for codatatypes
desharna
parents:
57279
diff
changeset
|
1875 |
val selsss = map #selss ctr_sugars; |
58291 | 1876 |
|
57301
7b997028aaac
generate 'rel_coinduct0' theorem for codatatypes
desharna
parents:
57279
diff
changeset
|
1877 |
fun mk_discss ts Ts = map2 (map o rapp) ts (map (map (mk_disc_or_sel Ts)) discss); |
58291 | 1878 |
fun mk_selsss ts Ts = |
1879 |
map2 (map o map o rapp) ts (map (map (map (mk_disc_or_sel Ts))) selsss); |
|
57301
7b997028aaac
generate 'rel_coinduct0' theorem for codatatypes
desharna
parents:
57279
diff
changeset
|
1880 |
in |
57302 | 1881 |
((mk_discss fpAs As, mk_selsss fpAs As), |
1882 |
(mk_discss fpBs Bs, mk_selsss fpBs Bs)) |
|
57301
7b997028aaac
generate 'rel_coinduct0' theorem for codatatypes
desharna
parents:
57279
diff
changeset
|
1883 |
end; |
7b997028aaac
generate 'rel_coinduct0' theorem for codatatypes
desharna
parents:
57279
diff
changeset
|
1884 |
|
58291 | 1885 |
val prems = |
57301
7b997028aaac
generate 'rel_coinduct0' theorem for codatatypes
desharna
parents:
57279
diff
changeset
|
1886 |
let |
7b997028aaac
generate 'rel_coinduct0' theorem for codatatypes
desharna
parents:
57279
diff
changeset
|
1887 |
fun mk_prem_ctr_concls n k discA_t selA_ts discB_t selB_ts = |
7b997028aaac
generate 'rel_coinduct0' theorem for codatatypes
desharna
parents:
57279
diff
changeset
|
1888 |
(if k = n then [] else [HOLogic.mk_eq (discA_t, discB_t)]) @ |
7b997028aaac
generate 'rel_coinduct0' theorem for codatatypes
desharna
parents:
57279
diff
changeset
|
1889 |
(case (selA_ts, selB_ts) of |
57303 | 1890 |
([], []) => [] |
57301
7b997028aaac
generate 'rel_coinduct0' theorem for codatatypes
desharna
parents:
57279
diff
changeset
|
1891 |
| (_ :: _, _ :: _) => |
57565 | 1892 |
[Library.foldr HOLogic.mk_imp |
1893 |
(if n = 1 then [] else [discA_t, discB_t], |
|
1894 |
Library.foldr1 HOLogic.mk_conj |
|
1895 |
(map2 (build_rel_app lthy (Rs @ IRs) fpA_Ts) selA_ts selB_ts))]); |
|
57301
7b997028aaac
generate 'rel_coinduct0' theorem for codatatypes
desharna
parents:
57279
diff
changeset
|
1896 |
|
7b997028aaac
generate 'rel_coinduct0' theorem for codatatypes
desharna
parents:
57279
diff
changeset
|
1897 |
fun mk_prem_concl n discA_ts selA_tss discB_ts selB_tss = |
58634
9f10d82e8188
added parameterized ML antiquotations @{map N}, @{fold N}, @{fold_map N}, @{split_list N};
wenzelm
parents:
58586
diff
changeset
|
1898 |
Library.foldr1 HOLogic.mk_conj (flat (@{map 5} (mk_prem_ctr_concls n) |
57301
7b997028aaac
generate 'rel_coinduct0' theorem for codatatypes
desharna
parents:
57279
diff
changeset
|
1899 |
(1 upto n) discA_ts selA_tss discB_ts selB_tss)) |
7b997028aaac
generate 'rel_coinduct0' theorem for codatatypes
desharna
parents:
57279
diff
changeset
|
1900 |
handle List.Empty => @{term True}; |
7b997028aaac
generate 'rel_coinduct0' theorem for codatatypes
desharna
parents:
57279
diff
changeset
|
1901 |
|
7b997028aaac
generate 'rel_coinduct0' theorem for codatatypes
desharna
parents:
57279
diff
changeset
|
1902 |
fun mk_prem IR tA tB n discA_ts selA_tss discB_ts selB_tss = |
7b997028aaac
generate 'rel_coinduct0' theorem for codatatypes
desharna
parents:
57279
diff
changeset
|
1903 |
fold_rev Logic.all [tA, tB] (Logic.mk_implies (HOLogic.mk_Trueprop (IR $ tA $ tB), |
7b997028aaac
generate 'rel_coinduct0' theorem for codatatypes
desharna
parents:
57279
diff
changeset
|
1904 |
HOLogic.mk_Trueprop (mk_prem_concl n discA_ts selA_tss discB_ts selB_tss))); |
7b997028aaac
generate 'rel_coinduct0' theorem for codatatypes
desharna
parents:
57279
diff
changeset
|
1905 |
in |
58634
9f10d82e8188
added parameterized ML antiquotations @{map N}, @{fold N}, @{fold_map N}, @{split_list N};
wenzelm
parents:
58586
diff
changeset
|
1906 |
@{map 8} mk_prem IRs fpAs fpBs ns discA_tss selA_tsss discB_tss selB_tsss |
57301
7b997028aaac
generate 'rel_coinduct0' theorem for codatatypes
desharna
parents:
57279
diff
changeset
|
1907 |
end; |
7b997028aaac
generate 'rel_coinduct0' theorem for codatatypes
desharna
parents:
57279
diff
changeset
|
1908 |
|
57525 | 1909 |
val goal = HOLogic.mk_Trueprop (Library.foldr1 HOLogic.mk_conj (map2 mk_leq |
62385 | 1910 |
IRs (map2 (build_the_rel lthy (Rs @ IRs) []) fpA_Ts fpB_Ts))); |
61334
8d40ddaa427f
collect the names from goals in favor of fragile exports
traytel
parents:
61301
diff
changeset
|
1911 |
val vars = Variable.add_free_names lthy goal []; |
57302 | 1912 |
|
57898
f7f75b33d6c8
avoid needless (and wrong w.r.t. sorts) generation of type variables; tuned whitespaces;
blanchet
parents:
57893
diff
changeset
|
1913 |
val rel_coinduct0_thm = |
61334
8d40ddaa427f
collect the names from goals in favor of fragile exports
traytel
parents:
61301
diff
changeset
|
1914 |
Goal.prove_sorry lthy vars prems goal (fn {context = ctxt, prems} => |
59621
291934bac95e
Thm.cterm_of and Thm.ctyp_of operate on local context;
wenzelm
parents:
59582
diff
changeset
|
1915 |
mk_rel_coinduct0_tac ctxt dtor_rel_coinduct (map (Thm.cterm_of ctxt) IRs) prems |
57898
f7f75b33d6c8
avoid needless (and wrong w.r.t. sorts) generation of type variables; tuned whitespaces;
blanchet
parents:
57893
diff
changeset
|
1916 |
(map #exhaust ctr_sugars) (map (flat o #disc_thmss) ctr_sugars) |
f7f75b33d6c8
avoid needless (and wrong w.r.t. sorts) generation of type variables; tuned whitespaces;
blanchet
parents:
57893
diff
changeset
|
1917 |
(map (flat o #sel_thmss) ctr_sugars) ctor_defss dtor_ctors ctor_injects abs_injects |
f7f75b33d6c8
avoid needless (and wrong w.r.t. sorts) generation of type variables; tuned whitespaces;
blanchet
parents:
57893
diff
changeset
|
1918 |
rel_pre_defs abs_inverses live_nesting_rel_eqs) |
57302 | 1919 |
|> Thm.close_derivation; |
1920 |
in |
|
62158
c25c62055180
generate stronger 'rel_(co)induct' and 'coinduct' principles for mutually (co)recursive (co)datatypes
blanchet
parents:
62093
diff
changeset
|
1921 |
(postproc_co_induct lthy nn @{thm predicate2D} @{thm predicate2D_conj} rel_coinduct0_thm, |
58283
71d74e641538
preserve case names in '(co)induct' theorems generated by prim(co)rec'
blanchet
parents:
58267
diff
changeset
|
1922 |
mk_coinduct_attrs fpA_Ts (map #ctrs ctr_sugars) (map #discs ctr_sugars) mss) |
57301
7b997028aaac
generate 'rel_coinduct0' theorem for codatatypes
desharna
parents:
57279
diff
changeset
|
1923 |
end; |
7b997028aaac
generate 'rel_coinduct0' theorem for codatatypes
desharna
parents:
57279
diff
changeset
|
1924 |
|
63814 | 1925 |
fun derive_set_induct_thms_for_types lthy nn fpTs ctrss setss dtor_set_inducts exhausts set_pre_defs |
1926 |
ctor_defs dtor_ctors Abs_pre_inverses = |
|
57700 | 1927 |
let |
1928 |
fun mk_prems A Ps ctr_args t ctxt = |
|
1929 |
(case fastype_of t of |
|
57891 | 1930 |
Type (type_name, innerTs) => |
57700 | 1931 |
(case bnf_of ctxt type_name of |
1932 |
NONE => ([], ctxt) |
|
1933 |
| SOME bnf => |
|
1934 |
let |
|
1935 |
fun seq_assm a set ctxt = |
|
1936 |
let |
|
1937 |
val X = HOLogic.dest_setT (range_type (fastype_of set)); |
|
1938 |
val (x, ctxt') = yield_singleton (mk_Frees "x") X ctxt; |
|
1939 |
val assm = mk_Trueprop_mem (x, set $ a); |
|
1940 |
in |
|
1941 |
(case build_binary_fun_app Ps x a of |
|
1942 |
NONE => |
|
1943 |
mk_prems A Ps ctr_args x ctxt' |
|
1944 |
|>> map (Logic.all x o Logic.mk_implies o pair assm) |
|
1945 |
| SOME f => |
|
1946 |
([Logic.all x |
|
1947 |
(Logic.mk_implies (assm, |
|
1948 |
Logic.mk_implies (HOLogic.mk_Trueprop f, |
|
1949 |
HOLogic.mk_Trueprop (the (build_binary_fun_app Ps x ctr_args)))))], |
|
1950 |
ctxt')) |
|
1951 |
end; |
|
1952 |
in |
|
57891 | 1953 |
fold_map (seq_assm t o mk_set innerTs) (sets_of_bnf bnf) ctxt |
57700 | 1954 |
|>> flat |
1955 |
end) |
|
1956 |
| T => |
|
1957 |
if T = A then ([HOLogic.mk_Trueprop (the (build_binary_fun_app Ps t ctr_args))], ctxt) |
|
1958 |
else ([], ctxt)); |
|
1959 |
||
1960 |
fun mk_prems_for_ctr A Ps ctr ctxt = |
|
1961 |
let |
|
57893 | 1962 |
val (args, ctxt') = mk_Frees "z" (binder_types (fastype_of ctr)) ctxt; |
57700 | 1963 |
in |
1964 |
fold_map (mk_prems A Ps (list_comb (ctr, args))) args ctxt' |
|
1965 |
|>> map (fold_rev Logic.all args) o flat |
|
1966 |
|>> (fn prems => (prems, mk_names (length prems) (name_of_ctr ctr))) |
|
1967 |
end; |
|
1968 |
||
1969 |
fun mk_prems_and_concl_for_type A Ps ((fpT, ctrs), set) ctxt = |
|
1970 |
let |
|
1971 |
val ((x, fp), ctxt') = ctxt |
|
1972 |
|> yield_singleton (mk_Frees "x") A |
|
1973 |
||>> yield_singleton (mk_Frees "a") fpT; |
|
1974 |
val concl = mk_Ball (set $ fp) (Term.absfree (dest_Free x) |
|
1975 |
(the (build_binary_fun_app Ps x fp))); |
|
1976 |
in |
|
1977 |
fold_map (mk_prems_for_ctr A Ps) ctrs ctxt' |
|
1978 |
|>> split_list |
|
1979 |
|>> map_prod flat flat |
|
1980 |
|>> apfst (rpair concl) |
|
1981 |
end; |
|
1982 |
||
1983 |
fun mk_thm ctxt fpTs ctrss sets = |
|
1984 |
let |
|
1985 |
val A = HOLogic.dest_setT (range_type (fastype_of (hd sets))); |
|
1986 |
val (Ps, ctxt') = mk_Frees "P" (map (fn fpT => A --> fpT --> HOLogic.boolT) fpTs) ctxt; |
|
58291 | 1987 |
val (((prems, concl), case_names), ctxt'') = |
1988 |
fold_map (mk_prems_and_concl_for_type A Ps) (fpTs ~~ ctrss ~~ sets) ctxt' |
|
57700 | 1989 |
|>> apfst split_list o split_list |
1990 |
|>> apfst (apfst flat) |
|
1991 |
|>> apfst (apsnd (Library.foldr1 HOLogic.mk_conj)) |
|
1992 |
|>> apsnd flat; |
|
1993 |
||
61334
8d40ddaa427f
collect the names from goals in favor of fragile exports
traytel
parents:
61301
diff
changeset
|
1994 |
val vars = fold (Variable.add_free_names lthy) (concl :: prems) []; |
57898
f7f75b33d6c8
avoid needless (and wrong w.r.t. sorts) generation of type variables; tuned whitespaces;
blanchet
parents:
57893
diff
changeset
|
1995 |
val thm = |
61334
8d40ddaa427f
collect the names from goals in favor of fragile exports
traytel
parents:
61301
diff
changeset
|
1996 |
Goal.prove_sorry lthy vars prems (HOLogic.mk_Trueprop concl) |
57898
f7f75b33d6c8
avoid needless (and wrong w.r.t. sorts) generation of type variables; tuned whitespaces;
blanchet
parents:
57893
diff
changeset
|
1997 |
(fn {context = ctxt, prems} => |
61760 | 1998 |
mk_set_induct0_tac ctxt (map (Thm.cterm_of ctxt'') Ps) prems dtor_set_inducts |
1999 |
exhausts set_pre_defs ctor_defs dtor_ctors Abs_pre_inverses) |
|
57700 | 2000 |
|> Thm.close_derivation; |
2001 |
||
63019 | 2002 |
val case_names_attr = Attrib.case_names (quasi_unambiguous_case_names case_names); |
57700 | 2003 |
val induct_set_attrs = map (Attrib.internal o K o Induct.induct_pred o name_of_set) sets; |
2004 |
in |
|
2005 |
(thm, case_names_attr :: induct_set_attrs) |
|
2006 |
end |
|
63019 | 2007 |
val consumes_attr = Attrib.consumes 1; |
57700 | 2008 |
in |
58472 | 2009 |
map (mk_thm lthy fpTs ctrss |
2010 |
#> nn = 1 ? map_prod (fn thm => rotate_prems ~1 (thm RS bspec)) (cons consumes_attr)) |
|
2011 |
(transpose setss) |
|
57700 | 2012 |
end; |
2013 |
||
60737 | 2014 |
fun mk_coinduct_strong_thm coind rel_eqs rel_monos mk_vimage2p ctxt = |
2015 |
let |
|
2016 |
val n = Thm.nprems_of coind; |
|
2017 |
val m = Thm.nprems_of (hd rel_monos) - n; |
|
2018 |
fun mk_inst phi = |
|
2019 |
(phi, Thm.cterm_of ctxt (mk_union (Var phi, HOLogic.eq_const (fst (dest_pred2T (#2 phi)))))); |
|
2020 |
val insts = Term.add_vars (Thm.prop_of coind) [] |> rev |> take n |> map mk_inst; |
|
2021 |
fun mk_unfold rel_eq rel_mono = |
|
2022 |
let |
|
2023 |
val eq = iffD2 OF [rel_eq RS @{thm predicate2_eqD}, refl]; |
|
2024 |
val mono = rel_mono OF (replicate m @{thm order_refl} @ replicate n @{thm eq_subset}); |
|
2025 |
in mk_vimage2p (eq RS (mono RS @{thm predicate2D})) RS eqTrueI end; |
|
2026 |
val unfolds = map2 mk_unfold rel_eqs rel_monos @ @{thms sup_fun_def sup_bool_def |
|
2027 |
imp_disjL all_conj_distrib subst_eq_imp simp_thms(18,21,35)}; |
|
2028 |
in |
|
2029 |
Thm.instantiate ([], insts) coind |
|
2030 |
|> unfold_thms ctxt unfolds |
|
2031 |
end; |
|
2032 |
||
62395 | 2033 |
fun derive_coinduct_thms_for_types strong alter_r pre_bnfs dtor_coinduct dtor_ctors |
2034 |
live_nesting_bnfs fpTs Xs ctrXs_Tsss ns fp_abs_inverses abs_inverses mk_vimage2p ctr_defss |
|
2035 |
(ctr_sugars : ctr_sugar list) ctxt = |
|
51810
7b75fab5ebf5
factored out derivation of coinduction, unfold, corec
blanchet
parents:
51808
diff
changeset
|
2036 |
let |
51815 | 2037 |
val nn = length pre_bnfs; |
2038 |
||
51810
7b75fab5ebf5
factored out derivation of coinduction, unfold, corec
blanchet
parents:
51808
diff
changeset
|
2039 |
val pre_rel_defs = map rel_def_of_bnf pre_bnfs; |
57397 | 2040 |
val live_nesting_rel_eqs = map rel_eq_of_bnf live_nesting_bnfs; |
51810
7b75fab5ebf5
factored out derivation of coinduction, unfold, corec
blanchet
parents:
51808
diff
changeset
|
2041 |
|
51816 | 2042 |
val fp_b_names = map base_name_of_typ fpTs; |
51811 | 2043 |
|
53210
7219c61796c0
simplify code (now that ctr_sugar uses the same type variables as fp_sugar)
blanchet
parents:
53203
diff
changeset
|
2044 |
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
|
2045 |
val selsss = map #selss ctr_sugars; |
51840 | 2046 |
val exhausts = map #exhaust ctr_sugars; |
2047 |
val disc_thmsss = map #disc_thmss ctr_sugars; |
|
2048 |
val sel_thmsss = map #sel_thmss ctr_sugars; |
|
51810
7b75fab5ebf5
factored out derivation of coinduction, unfold, corec
blanchet
parents:
51808
diff
changeset
|
2049 |
|
62395 | 2050 |
val (((rs, us'), vs'), _) = ctxt |
51810
7b75fab5ebf5
factored out derivation of coinduction, unfold, corec
blanchet
parents:
51808
diff
changeset
|
2051 |
|> mk_Frees "R" (map (fn T => mk_pred2T T T) fpTs) |
51816 | 2052 |
||>> Variable.variant_fixes fp_b_names |
2053 |
||>> Variable.variant_fixes (map (suffix "'") fp_b_names); |
|
51810
7b75fab5ebf5
factored out derivation of coinduction, unfold, corec
blanchet
parents:
51808
diff
changeset
|
2054 |
|
7b75fab5ebf5
factored out derivation of coinduction, unfold, corec
blanchet
parents:
51808
diff
changeset
|
2055 |
val us = map2 (curry Free) us' fpTs; |
7b75fab5ebf5
factored out derivation of coinduction, unfold, corec
blanchet
parents:
51808
diff
changeset
|
2056 |
val udiscss = map2 (map o rapp) us discss; |
7b75fab5ebf5
factored out derivation of coinduction, unfold, corec
blanchet
parents:
51808
diff
changeset
|
2057 |
val uselsss = map2 (map o map o rapp) us selsss; |
7b75fab5ebf5
factored out derivation of coinduction, unfold, corec
blanchet
parents:
51808
diff
changeset
|
2058 |
|
7b75fab5ebf5
factored out derivation of coinduction, unfold, corec
blanchet
parents:
51808
diff
changeset
|
2059 |
val vs = map2 (curry Free) vs' fpTs; |
7b75fab5ebf5
factored out derivation of coinduction, unfold, corec
blanchet
parents:
51808
diff
changeset
|
2060 |
val vdiscss = map2 (map o rapp) vs discss; |
7b75fab5ebf5
factored out derivation of coinduction, unfold, corec
blanchet
parents:
51808
diff
changeset
|
2061 |
val vselsss = map2 (map o map o rapp) vs selsss; |
7b75fab5ebf5
factored out derivation of coinduction, unfold, corec
blanchet
parents:
51808
diff
changeset
|
2062 |
|
62395 | 2063 |
val uvrs = @{map 3} (fn r => fn u => fn v => r $ u $ v) rs us vs; |
2064 |
val uv_eqs = map2 (curry HOLogic.mk_eq) us vs; |
|
2065 |
val strong_rs = |
|
2066 |
@{map 4} (fn u => fn v => fn uvr => fn uv_eq => |
|
2067 |
fold_rev Term.lambda [u, v] (HOLogic.mk_disj (uvr, uv_eq))) us vs uvrs uv_eqs; |
|
2068 |
||
2069 |
fun build_the_rel rs' T Xs_T = |
|
2070 |
build_rel [] ctxt [] (fn (_, X) => nth rs' (find_index (curry (op =) X) Xs)) (T, Xs_T) |
|
2071 |
|> Term.subst_atomic_types (Xs ~~ fpTs); |
|
2072 |
||
2073 |
fun build_rel_app rs' usel vsel Xs_T = |
|
2074 |
fold rapp [usel, vsel] (build_the_rel rs' (fastype_of usel) Xs_T); |
|
2075 |
||
2076 |
fun mk_prem_ctr_concls rs' n k udisc usels vdisc vsels ctrXs_Ts = |
|
2077 |
(if k = n then [] else [HOLogic.mk_eq (udisc, vdisc)]) @ |
|
2078 |
(if null usels then |
|
2079 |
[] |
|
2080 |
else |
|
2081 |
[Library.foldr HOLogic.mk_imp (if n = 1 then [] else [udisc, vdisc], |
|
2082 |
Library.foldr1 HOLogic.mk_conj (@{map 3} (build_rel_app rs') usels vsels ctrXs_Ts))]); |
|
2083 |
||
2084 |
fun mk_prem_concl rs' n udiscs uselss vdiscs vselss ctrXs_Tss = |
|
2085 |
flat (@{map 6} (mk_prem_ctr_concls rs' n) (1 upto n) udiscs uselss vdiscs vselss ctrXs_Tss) |
|
2086 |
|> Library.foldr1 HOLogic.mk_conj |
|
2087 |
handle List.Empty => @{term True}; |
|
2088 |
||
2089 |
fun mk_prem rs' uvr u v n udiscs uselss vdiscs vselss ctrXs_Tss = |
|
2090 |
fold_rev Logic.all [u, v] (Logic.mk_implies (HOLogic.mk_Trueprop uvr, |
|
2091 |
HOLogic.mk_Trueprop (mk_prem_concl rs' n udiscs uselss vdiscs vselss ctrXs_Tss))); |
|
2092 |
||
2093 |
val concl = |
|
2094 |
HOLogic.mk_Trueprop (Library.foldr1 HOLogic.mk_conj |
|
2095 |
(@{map 3} (fn uvr => fn u => fn v => HOLogic.mk_imp (uvr, HOLogic.mk_eq (u, v))) |
|
2096 |
uvrs us vs)); |
|
2097 |
||
2098 |
fun mk_goal rs0' = |
|
2099 |
Logic.list_implies (@{map 9} (mk_prem (map alter_r rs0')) uvrs us vs ns udiscss uselsss |
|
2100 |
vdiscss vselsss ctrXs_Tsss, concl); |
|
2101 |
||
2102 |
val goals = map mk_goal ([rs] @ (if strong then [strong_rs] else [])); |
|
2103 |
||
2104 |
fun prove dtor_coinduct' goal = |
|
2105 |
Variable.add_free_names ctxt goal [] |
|
2106 |
|> (fn vars => Goal.prove_sorry ctxt vars [] goal (fn {context = ctxt, ...} => |
|
2107 |
mk_coinduct_tac ctxt live_nesting_rel_eqs nn ns dtor_coinduct' pre_rel_defs fp_abs_inverses |
|
2108 |
abs_inverses dtor_ctors exhausts ctr_defss disc_thmsss sel_thmsss)) |
|
2109 |
|> Thm.close_derivation; |
|
2110 |
||
2111 |
val rel_eqs = map rel_eq_of_bnf pre_bnfs; |
|
2112 |
val rel_monos = map rel_mono_of_bnf pre_bnfs; |
|
2113 |
val dtor_coinducts = |
|
2114 |
[dtor_coinduct] @ |
|
2115 |
(if strong then [mk_coinduct_strong_thm dtor_coinduct rel_eqs rel_monos mk_vimage2p ctxt] |
|
2116 |
else []); |
|
2117 |
in |
|
2118 |
map2 (postproc_co_induct ctxt nn mp @{thm conj_commute[THEN iffD1]} oo prove) |
|
2119 |
dtor_coinducts goals |
|
2120 |
end; |
|
2121 |
||
2122 |
fun derive_coinduct_corecs_thms_for_types pre_bnfs (x, cs, cpss, (((pgss, _, _, _), cqgsss), _)) |
|
2123 |
dtor_coinduct dtor_injects dtor_ctors dtor_corec_thms live_nesting_bnfs fpTs Cs Xs ctrXs_Tsss |
|
2124 |
kss mss ns fp_abs_inverses abs_inverses mk_vimage2p ctr_defss (ctr_sugars : ctr_sugar list) |
|
2125 |
corecs corec_defs ctxt = |
|
2126 |
let |
|
2127 |
fun mk_ctor_dtor_corec_thm dtor_inject dtor_ctor corec = |
|
2128 |
iffD1 OF [dtor_inject, trans OF [corec, dtor_ctor RS sym]]; |
|
2129 |
||
2130 |
val ctor_dtor_corec_thms = |
|
2131 |
@{map 3} mk_ctor_dtor_corec_thm dtor_injects dtor_ctors dtor_corec_thms; |
|
2132 |
||
2133 |
val pre_map_defs = map map_def_of_bnf pre_bnfs; |
|
2134 |
val live_nesting_map_ident0s = map map_ident0_of_bnf live_nesting_bnfs; |
|
2135 |
||
2136 |
val fp_b_names = map base_name_of_typ fpTs; |
|
2137 |
||
2138 |
val ctrss = map #ctrs ctr_sugars; |
|
2139 |
val discss = map #discs ctr_sugars; |
|
2140 |
val selsss = map #selss ctr_sugars; |
|
2141 |
val disc_thmsss = map #disc_thmss ctr_sugars; |
|
2142 |
val discIss = map #discIs ctr_sugars; |
|
2143 |
val sel_thmsss = map #sel_thmss ctr_sugars; |
|
2144 |
||
2145 |
val coinduct_thms_pairs = derive_coinduct_thms_for_types true I pre_bnfs dtor_coinduct |
|
2146 |
dtor_ctors live_nesting_bnfs fpTs Xs ctrXs_Tsss ns fp_abs_inverses abs_inverses mk_vimage2p |
|
2147 |
ctr_defss ctr_sugars ctxt; |
|
51810
7b75fab5ebf5
factored out derivation of coinduction, unfold, corec
blanchet
parents:
51808
diff
changeset
|
2148 |
|
7b75fab5ebf5
factored out derivation of coinduction, unfold, corec
blanchet
parents:
51808
diff
changeset
|
2149 |
fun mk_maybe_not pos = not pos ? HOLogic.mk_not; |
7b75fab5ebf5
factored out derivation of coinduction, unfold, corec
blanchet
parents:
51808
diff
changeset
|
2150 |
|
55869 | 2151 |
val gcorecs = map (lists_bmoc pgss) corecs; |
51810
7b75fab5ebf5
factored out derivation of coinduction, unfold, corec
blanchet
parents:
51808
diff
changeset
|
2152 |
|
55856
bddaada24074
got rid of automatically generated fold constant and theorems (to reduce overhead)
blanchet
parents:
55803
diff
changeset
|
2153 |
val corec_thmss = |
51810
7b75fab5ebf5
factored out derivation of coinduction, unfold, corec
blanchet
parents:
51808
diff
changeset
|
2154 |
let |
62395 | 2155 |
val (us', _) = ctxt |
2156 |
|> Variable.variant_fixes fp_b_names; |
|
2157 |
||
2158 |
val us = map2 (curry Free) us' fpTs; |
|
2159 |
||
55869 | 2160 |
fun mk_goal c cps gcorec n k ctr m cfs' = |
2161 |
fold_rev (fold_rev Logic.all) ([c] :: pgss) |
|
51810
7b75fab5ebf5
factored out derivation of coinduction, unfold, corec
blanchet
parents:
51808
diff
changeset
|
2162 |
(Logic.list_implies (seq_conds (HOLogic.mk_Trueprop oo mk_maybe_not) n k cps, |
55869 | 2163 |
mk_Trueprop_eq (gcorec $ c, Term.list_comb (ctr, take m cfs')))); |
51810
7b75fab5ebf5
factored out derivation of coinduction, unfold, corec
blanchet
parents:
51808
diff
changeset
|
2164 |
|
55869 | 2165 |
val mk_U = typ_subst_nonatomic (map2 (fn C => fn fpT => (mk_sumT (fpT, C), fpT)) Cs fpTs); |
52347
ead18e3b2c1b
changed back type of corecursor for nested case, effectively reverting aa66ea552357 and 78a3d5006cf1
blanchet
parents:
52346
diff
changeset
|
2166 |
|
55869 | 2167 |
fun tack (c, u) f = |
2168 |
let val x' = Free (x, mk_sumT (fastype_of u, fastype_of c)) in |
|
2169 |
Term.lambda x' (mk_case_sum (Term.lambda u u, Term.lambda c (f $ c)) $ x') |
|
52347
ead18e3b2c1b
changed back type of corecursor for nested case, effectively reverting aa66ea552357 and 78a3d5006cf1
blanchet
parents:
52346
diff
changeset
|
2170 |
end; |
51810
7b75fab5ebf5
factored out derivation of coinduction, unfold, corec
blanchet
parents:
51808
diff
changeset
|
2171 |
|
55869 | 2172 |
fun build_corec cqg = |
2173 |
let val T = fastype_of cqg in |
|
52347
ead18e3b2c1b
changed back type of corecursor for nested case, effectively reverting aa66ea552357 and 78a3d5006cf1
blanchet
parents:
52346
diff
changeset
|
2174 |
if exists_subtype_in Cs T then |
58352
37745650a3f4
register 'prod' and 'sum' as datatypes, to allow N2M through them
blanchet
parents:
58347
diff
changeset
|
2175 |
let |
37745650a3f4
register 'prod' and 'sum' as datatypes, to allow N2M through them
blanchet
parents:
58347
diff
changeset
|
2176 |
val U = mk_U T; |
37745650a3f4
register 'prod' and 'sum' as datatypes, to allow N2M through them
blanchet
parents:
58347
diff
changeset
|
2177 |
val build_simple = |
37745650a3f4
register 'prod' and 'sum' as datatypes, to allow N2M through them
blanchet
parents:
58347
diff
changeset
|
2178 |
indexify fst (map2 (curry mk_sumT) fpTs Cs) |
37745650a3f4
register 'prod' and 'sum' as datatypes, to allow N2M through them
blanchet
parents:
58347
diff
changeset
|
2179 |
(fn kk => fn _ => tack (nth cs kk, nth us kk) (nth gcorecs kk)); |
37745650a3f4
register 'prod' and 'sum' as datatypes, to allow N2M through them
blanchet
parents:
58347
diff
changeset
|
2180 |
in |
62395 | 2181 |
build_map ctxt [] build_simple (T, U) $ cqg |
52368 | 2182 |
end |
52347
ead18e3b2c1b
changed back type of corecursor for nested case, effectively reverting aa66ea552357 and 78a3d5006cf1
blanchet
parents:
52346
diff
changeset
|
2183 |
else |
55869 | 2184 |
cqg |
52347
ead18e3b2c1b
changed back type of corecursor for nested case, effectively reverting aa66ea552357 and 78a3d5006cf1
blanchet
parents:
52346
diff
changeset
|
2185 |
end; |
51810
7b75fab5ebf5
factored out derivation of coinduction, unfold, corec
blanchet
parents:
51808
diff
changeset
|
2186 |
|
55869 | 2187 |
val cqgsss' = map (map (map build_corec)) cqgsss; |
58634
9f10d82e8188
added parameterized ML antiquotations @{map N}, @{fold N}, @{fold_map N}, @{split_list N};
wenzelm
parents:
58586
diff
changeset
|
2188 |
val goalss = @{map 8} (@{map 4} oooo mk_goal) cs cpss gcorecs ns kss ctrss mss cqgsss'; |
51810
7b75fab5ebf5
factored out derivation of coinduction, unfold, corec
blanchet
parents:
51808
diff
changeset
|
2189 |
|
55856
bddaada24074
got rid of automatically generated fold constant and theorems (to reduce overhead)
blanchet
parents:
55803
diff
changeset
|
2190 |
val tacss = |
58634
9f10d82e8188
added parameterized ML antiquotations @{map N}, @{fold N}, @{fold_map N}, @{split_list N};
wenzelm
parents:
58586
diff
changeset
|
2191 |
@{map 4} (map ooo mk_corec_tac corec_defs live_nesting_map_ident0s) |
55867 | 2192 |
ctor_dtor_corec_thms pre_map_defs abs_inverses ctr_defss; |
51810
7b75fab5ebf5
factored out derivation of coinduction, unfold, corec
blanchet
parents:
51808
diff
changeset
|
2193 |
|
7b75fab5ebf5
factored out derivation of coinduction, unfold, corec
blanchet
parents:
51808
diff
changeset
|
2194 |
fun prove goal tac = |
62395 | 2195 |
Goal.prove_sorry ctxt [] [] goal (tac o #context) |
51815 | 2196 |
|> Thm.close_derivation; |
51810
7b75fab5ebf5
factored out derivation of coinduction, unfold, corec
blanchet
parents:
51808
diff
changeset
|
2197 |
in |
55856
bddaada24074
got rid of automatically generated fold constant and theorems (to reduce overhead)
blanchet
parents:
55803
diff
changeset
|
2198 |
map2 (map2 prove) goalss tacss |
62395 | 2199 |
|> map (map (unfold_thms ctxt @{thms case_sum_if})) |
51810
7b75fab5ebf5
factored out derivation of coinduction, unfold, corec
blanchet
parents:
51808
diff
changeset
|
2200 |
end; |
7b75fab5ebf5
factored out derivation of coinduction, unfold, corec
blanchet
parents:
51808
diff
changeset
|
2201 |
|
57983
6edc3529bb4e
reordered some (co)datatype property names for more consistency
blanchet
parents:
57932
diff
changeset
|
2202 |
val corec_disc_iff_thmss = |
51810
7b75fab5ebf5
factored out derivation of coinduction, unfold, corec
blanchet
parents:
51808
diff
changeset
|
2203 |
let |
55869 | 2204 |
fun mk_goal c cps gcorec n k disc = |
2205 |
mk_Trueprop_eq (disc $ (gcorec $ c), |
|
51810
7b75fab5ebf5
factored out derivation of coinduction, unfold, corec
blanchet
parents:
51808
diff
changeset
|
2206 |
if n = 1 then @{const True} |
7b75fab5ebf5
factored out derivation of coinduction, unfold, corec
blanchet
parents:
51808
diff
changeset
|
2207 |
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
|
2208 |
|
58634
9f10d82e8188
added parameterized ML antiquotations @{map N}, @{fold N}, @{fold_map N}, @{split_list N};
wenzelm
parents:
58586
diff
changeset
|
2209 |
val goalss = @{map 6} (map2 oooo mk_goal) cs cpss gcorecs ns kss discss; |
51810
7b75fab5ebf5
factored out derivation of coinduction, unfold, corec
blanchet
parents:
51808
diff
changeset
|
2210 |
|
62395 | 2211 |
fun mk_case_split' cp = Thm.instantiate' [] [SOME (Thm.cterm_of ctxt cp)] @{thm case_split}; |
51810
7b75fab5ebf5
factored out derivation of coinduction, unfold, corec
blanchet
parents:
51808
diff
changeset
|
2212 |
|
7b75fab5ebf5
factored out derivation of coinduction, unfold, corec
blanchet
parents:
51808
diff
changeset
|
2213 |
val case_splitss' = map (map mk_case_split') cpss; |
7b75fab5ebf5
factored out derivation of coinduction, unfold, corec
blanchet
parents:
51808
diff
changeset
|
2214 |
|
58634
9f10d82e8188
added parameterized ML antiquotations @{map N}, @{fold N}, @{fold_map N}, @{split_list N};
wenzelm
parents:
58586
diff
changeset
|
2215 |
val tacss = @{map 3} (map oo mk_corec_disc_iff_tac) case_splitss' corec_thmss disc_thmsss; |
51810
7b75fab5ebf5
factored out derivation of coinduction, unfold, corec
blanchet
parents:
51808
diff
changeset
|
2216 |
|
7b75fab5ebf5
factored out derivation of coinduction, unfold, corec
blanchet
parents:
51808
diff
changeset
|
2217 |
fun prove goal tac = |
62395 | 2218 |
Variable.add_free_names ctxt goal [] |
2219 |
|> (fn vars => Goal.prove_sorry ctxt vars [] goal (tac o #context)) |
|
51810
7b75fab5ebf5
factored out derivation of coinduction, unfold, corec
blanchet
parents:
51808
diff
changeset
|
2220 |
|> Thm.close_derivation; |
7b75fab5ebf5
factored out derivation of coinduction, unfold, corec
blanchet
parents:
51808
diff
changeset
|
2221 |
|
7b75fab5ebf5
factored out derivation of coinduction, unfold, corec
blanchet
parents:
51808
diff
changeset
|
2222 |
fun proves [_] [_] = [] |
7b75fab5ebf5
factored out derivation of coinduction, unfold, corec
blanchet
parents:
51808
diff
changeset
|
2223 |
| proves goals tacs = map2 prove goals tacs; |
7b75fab5ebf5
factored out derivation of coinduction, unfold, corec
blanchet
parents:
51808
diff
changeset
|
2224 |
in |
55856
bddaada24074
got rid of automatically generated fold constant and theorems (to reduce overhead)
blanchet
parents:
55803
diff
changeset
|
2225 |
map2 proves goalss tacss |
51810
7b75fab5ebf5
factored out derivation of coinduction, unfold, corec
blanchet
parents:
51808
diff
changeset
|
2226 |
end; |
7b75fab5ebf5
factored out derivation of coinduction, unfold, corec
blanchet
parents:
51808
diff
changeset
|
2227 |
|
57983
6edc3529bb4e
reordered some (co)datatype property names for more consistency
blanchet
parents:
57932
diff
changeset
|
2228 |
fun mk_corec_disc_thms corecs discIs = map (op RS) (corecs ~~ discIs); |
51810
7b75fab5ebf5
factored out derivation of coinduction, unfold, corec
blanchet
parents:
51808
diff
changeset
|
2229 |
|
57983
6edc3529bb4e
reordered some (co)datatype property names for more consistency
blanchet
parents:
57932
diff
changeset
|
2230 |
val corec_disc_thmss = map2 mk_corec_disc_thms corec_thmss discIss; |
51810
7b75fab5ebf5
factored out derivation of coinduction, unfold, corec
blanchet
parents:
51808
diff
changeset
|
2231 |
|
57983
6edc3529bb4e
reordered some (co)datatype property names for more consistency
blanchet
parents:
57932
diff
changeset
|
2232 |
fun mk_corec_sel_thm corec_thm sel sel_thm = |
51810
7b75fab5ebf5
factored out derivation of coinduction, unfold, corec
blanchet
parents:
51808
diff
changeset
|
2233 |
let |
7b75fab5ebf5
factored out derivation of coinduction, unfold, corec
blanchet
parents:
51808
diff
changeset
|
2234 |
val (domT, ranT) = dest_funT (fastype_of sel); |
7b75fab5ebf5
factored out derivation of coinduction, unfold, corec
blanchet
parents:
51808
diff
changeset
|
2235 |
val arg_cong' = |
62395 | 2236 |
Thm.instantiate' (map (SOME o Thm.ctyp_of ctxt) [domT, ranT]) |
2237 |
[NONE, NONE, SOME (Thm.cterm_of ctxt sel)] arg_cong |
|
51810
7b75fab5ebf5
factored out derivation of coinduction, unfold, corec
blanchet
parents:
51808
diff
changeset
|
2238 |
|> Thm.varifyT_global; |
7b75fab5ebf5
factored out derivation of coinduction, unfold, corec
blanchet
parents:
51808
diff
changeset
|
2239 |
val sel_thm' = sel_thm RSN (2, trans); |
7b75fab5ebf5
factored out derivation of coinduction, unfold, corec
blanchet
parents:
51808
diff
changeset
|
2240 |
in |
55867 | 2241 |
corec_thm RS arg_cong' RS sel_thm' |
51810
7b75fab5ebf5
factored out derivation of coinduction, unfold, corec
blanchet
parents:
51808
diff
changeset
|
2242 |
end; |
7b75fab5ebf5
factored out derivation of coinduction, unfold, corec
blanchet
parents:
51808
diff
changeset
|
2243 |
|
57983
6edc3529bb4e
reordered some (co)datatype property names for more consistency
blanchet
parents:
57932
diff
changeset
|
2244 |
fun mk_corec_sel_thms corec_thmss = |
58634
9f10d82e8188
added parameterized ML antiquotations @{map N}, @{fold N}, @{fold_map N}, @{split_list N};
wenzelm
parents:
58586
diff
changeset
|
2245 |
@{map 3} (@{map 3} (map2 o mk_corec_sel_thm)) corec_thmss selsss sel_thmsss; |
51810
7b75fab5ebf5
factored out derivation of coinduction, unfold, corec
blanchet
parents:
51808
diff
changeset
|
2246 |
|
57983
6edc3529bb4e
reordered some (co)datatype property names for more consistency
blanchet
parents:
57932
diff
changeset
|
2247 |
val corec_sel_thmsss = mk_corec_sel_thms corec_thmss; |
51810
7b75fab5ebf5
factored out derivation of coinduction, unfold, corec
blanchet
parents:
51808
diff
changeset
|
2248 |
in |
57535 | 2249 |
((coinduct_thms_pairs, |
58283
71d74e641538
preserve case names in '(co)induct' theorems generated by prim(co)rec'
blanchet
parents:
58267
diff
changeset
|
2250 |
mk_coinduct_attrs fpTs (map #ctrs ctr_sugars) (map #discs ctr_sugars) mss), |
57489 | 2251 |
corec_thmss, |
57983
6edc3529bb4e
reordered some (co)datatype property names for more consistency
blanchet
parents:
57932
diff
changeset
|
2252 |
corec_disc_thmss, |
6edc3529bb4e
reordered some (co)datatype property names for more consistency
blanchet
parents:
57932
diff
changeset
|
2253 |
(corec_disc_iff_thmss, simp_attrs), |
6edc3529bb4e
reordered some (co)datatype property names for more consistency
blanchet
parents:
57932
diff
changeset
|
2254 |
(corec_sel_thmsss, simp_attrs)) |
51810
7b75fab5ebf5
factored out derivation of coinduction, unfold, corec
blanchet
parents:
51808
diff
changeset
|
2255 |
end; |
7b75fab5ebf5
factored out derivation of coinduction, unfold, corec
blanchet
parents:
51808
diff
changeset
|
2256 |
|
58659
6c9821c32dd5
Local_Interpretation is superseded by Plugin with formal Plugin_Name management, avoiding undeclared strings;
wenzelm
parents:
58634
diff
changeset
|
2257 |
fun define_co_datatypes prepare_plugins prepare_constraint prepare_typ prepare_term fp construct_fp |
63818 | 2258 |
((raw_plugins, discs_sels0), specs) lthy = |
49112 | 2259 |
let |
63818 | 2260 |
val plugins = prepare_plugins lthy raw_plugins; |
57094
589ec121ce1a
don't generate discriminators and selectors for 'datatype_new' unless the user asked for it
blanchet
parents:
57091
diff
changeset
|
2261 |
val discs_sels = discs_sels0 orelse fp = Greatest_FP; |
49278 | 2262 |
|
49367 | 2263 |
val nn = length specs; |
55469
b19dd108f0c2
aligned the syntax for 'free_constructors' on the 'datatype_new' and 'codatatype' syntax
blanchet
parents:
55468
diff
changeset
|
2264 |
val fp_bs = map type_binding_of_spec specs; |
49498 | 2265 |
val fp_b_names = map Binding.name_of fp_bs; |
2266 |
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
|
2267 |
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
|
2268 |
val rel_bs = map rel_binding_of_spec specs; |
62324 | 2269 |
val pred_bs = map pred_binding_of_spec specs; |
49298
36e551d3af3b
support for sort constraints in new (co)data commands
blanchet
parents:
49297
diff
changeset
|
2270 |
|
51758 | 2271 |
fun prepare_type_arg (_, (ty, c)) = |
63818 | 2272 |
let val TFree (s, _) = prepare_typ lthy ty in |
2273 |
TFree (s, prepare_constraint lthy c) |
|
49298
36e551d3af3b
support for sort constraints in new (co)data commands
blanchet
parents:
49297
diff
changeset
|
2274 |
end; |
36e551d3af3b
support for sort constraints in new (co)data commands
blanchet
parents:
49297
diff
changeset
|
2275 |
|
55469
b19dd108f0c2
aligned the syntax for 'free_constructors' on the 'datatype_new' and 'codatatype' syntax
blanchet
parents:
55468
diff
changeset
|
2276 |
val Ass0 = map (map prepare_type_arg o type_args_named_constrained_of_spec) specs; |
58234 | 2277 |
val unsorted_Ass0 = map (map (resort_tfree_or_tvar @{sort type})) Ass0; |
55700 | 2278 |
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
|
2279 |
val num_As = length unsorted_As; |
55699
1f9cc432ecd4
reuse same parser for '(co)datatype(_new)' as for 'bnf_decl'
blanchet
parents:
55575
diff
changeset
|
2280 |
|
1f9cc432ecd4
reuse same parser for '(co)datatype(_new)' as for 'bnf_decl'
blanchet
parents:
55575
diff
changeset
|
2281 |
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
|
2282 |
val set_bss = map (map (the_default Binding.empty)) set_boss; |
49119 | 2283 |
|
55469
b19dd108f0c2
aligned the syntax for 'free_constructors' on the 'datatype_new' and 'codatatype' syntax
blanchet
parents:
55468
diff
changeset
|
2284 |
fun add_fake_type spec = |
61259 | 2285 |
Typedecl.basic_typedecl {final = true} |
63048
1836456b7d82
avoid duplicate mixfix messages in '(co)datatype' type name
blanchet
parents:
63019
diff
changeset
|
2286 |
(type_binding_of_spec spec, num_As, Mixfix.reset_pos (mixfix_of_spec spec)); |
51768 | 2287 |
|
63818 | 2288 |
val (fake_T_names, fake_lthy) = fold_map add_fake_type specs lthy; |
49119 | 2289 |
|
53262
23927b18dce2
rationalize message generation + added a warning
blanchet
parents:
53260
diff
changeset
|
2290 |
val qsoty = quote o Syntax.string_of_typ fake_lthy; |
23927b18dce2
rationalize message generation + added a warning
blanchet
parents:
53260
diff
changeset
|
2291 |
|
54253 | 2292 |
val _ = (case Library.duplicates (op =) unsorted_As of [] => () |
53262
23927b18dce2
rationalize message generation + added a warning
blanchet
parents:
53260
diff
changeset
|
2293 |
| A :: _ => error ("Duplicate type parameter " ^ qsoty A ^ " in " ^ co_prefix fp ^ |
23927b18dce2
rationalize message generation + added a warning
blanchet
parents:
53260
diff
changeset
|
2294 |
"datatype specification")); |
23927b18dce2
rationalize message generation + added a warning
blanchet
parents:
53260
diff
changeset
|
2295 |
|
23927b18dce2
rationalize message generation + added a warning
blanchet
parents:
53260
diff
changeset
|
2296 |
val bad_args = |
63818 | 2297 |
map (Logic.type_map (singleton (Variable.polymorphic lthy))) unsorted_As |
53262
23927b18dce2
rationalize message generation + added a warning
blanchet
parents:
53260
diff
changeset
|
2298 |
|> filter_out Term.is_TVar; |
23927b18dce2
rationalize message generation + added a warning
blanchet
parents:
53260
diff
changeset
|
2299 |
val _ = null bad_args orelse |
23927b18dce2
rationalize message generation + added a warning
blanchet
parents:
53260
diff
changeset
|
2300 |
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
|
2301 |
"datatype specification"); |
23927b18dce2
rationalize message generation + added a warning
blanchet
parents:
53260
diff
changeset
|
2302 |
|
55469
b19dd108f0c2
aligned the syntax for 'free_constructors' on the 'datatype_new' and 'codatatype' syntax
blanchet
parents:
55468
diff
changeset
|
2303 |
val mixfixes = map mixfix_of_spec specs; |
49119 | 2304 |
|
54253 | 2305 |
val _ = (case Library.duplicates Binding.eq_name fp_bs of [] => () |
49119 | 2306 |
| b :: _ => error ("Duplicate type name declaration " ^ quote (Binding.name_of b))); |
2307 |
||
55469
b19dd108f0c2
aligned the syntax for 'free_constructors' on the 'datatype_new' and 'codatatype' syntax
blanchet
parents:
55468
diff
changeset
|
2308 |
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
|
2309 |
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
|
2310 |
val ctr_mixfixess = map (map snd) mx_ctr_specss; |
49119 | 2311 |
|
55469
b19dd108f0c2
aligned the syntax for 'free_constructors' on the 'datatype_new' and 'codatatype' syntax
blanchet
parents:
55468
diff
changeset
|
2312 |
val disc_bindingss = map (map disc_of_ctr_spec) ctr_specss; |
49336 | 2313 |
val ctr_bindingss = |
55469
b19dd108f0c2
aligned the syntax for 'free_constructors' on the 'datatype_new' and 'codatatype' syntax
blanchet
parents:
55468
diff
changeset
|
2314 |
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
|
2315 |
ctr_specss; |
b19dd108f0c2
aligned the syntax for 'free_constructors' on the 'datatype_new' and 'codatatype' syntax
blanchet
parents:
55468
diff
changeset
|
2316 |
val ctr_argsss = map (map args_of_ctr_spec) ctr_specss; |
49119 | 2317 |
|
49336 | 2318 |
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
|
2319 |
val fake_ctr_Tsss0 = map (map (map (prepare_typ fake_lthy o snd))) ctr_argsss; |
57200
aab87ffa60cc
use 'where' clause for selector default value syntax
blanchet
parents:
57199
diff
changeset
|
2320 |
val raw_sel_default_eqss = map sel_default_eqs_of_spec specs; |
49286 | 2321 |
|
49308
6190b701e4f4
reorganized dependencies so that the sugar does not depend on GFP -- this will be essential for bootstrapping
blanchet
parents:
49302
diff
changeset
|
2322 |
val (As :: _) :: fake_ctr_Tsss = |
49298
36e551d3af3b
support for sort constraints in new (co)data commands
blanchet
parents:
49297
diff
changeset
|
2323 |
burrow (burrow (Syntax.check_typs fake_lthy)) (Ass0 :: fake_ctr_Tsss0); |
53262
23927b18dce2
rationalize message generation + added a warning
blanchet
parents:
53260
diff
changeset
|
2324 |
val As' = map dest_TFree As; |
49298
36e551d3af3b
support for sort constraints in new (co)data commands
blanchet
parents:
49297
diff
changeset
|
2325 |
|
49183
0cc46e2dee7e
careful about constructor types w.r.t. fake context (third step of localization)
blanchet
parents:
49182
diff
changeset
|
2326 |
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
|
2327 |
val _ = (case subtract (op =) As' rhs_As' of [] => () |
23927b18dce2
rationalize message generation + added a warning
blanchet
parents:
53260
diff
changeset
|
2328 |
| extras => error ("Extra type variables on right-hand side: " ^ |
23927b18dce2
rationalize message generation + added a warning
blanchet
parents:
53260
diff
changeset
|
2329 |
commas (map (qsoty o TFree) extras))); |
49165 | 2330 |
|
53268
de1dc709f9d4
handle type class annotations on (co)datatype parameters gracefully
blanchet
parents:
53266
diff
changeset
|
2331 |
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
|
2332 |
|
63818 | 2333 |
val ((((Bs0, Cs), Es), Xs), _) = lthy |
63796 | 2334 |
|> fold (Variable.declare_typ o resort_tfree_or_tvar dummyS) unsorted_As |
2335 |
|> mk_TFrees num_As |
|
2336 |
||>> mk_TFrees nn |
|
2337 |
||>> mk_TFrees nn |
|
2338 |
||>> variant_tfrees fp_b_names; |
|
2339 |
||
53262
23927b18dce2
rationalize message generation + added a warning
blanchet
parents:
53260
diff
changeset
|
2340 |
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
|
2341 |
s = s' andalso (Ts = Ts' orelse |
23927b18dce2
rationalize message generation + added a warning
blanchet
parents:
53260
diff
changeset
|
2342 |
error ("Wrong type arguments in " ^ co_prefix fp ^ "recursive type " ^ qsoty T ^ |
23927b18dce2
rationalize message generation + added a warning
blanchet
parents:
53260
diff
changeset
|
2343 |
" (expected " ^ qsoty T' ^ ")")) |
49591
91b228e26348
generate high-level "coinduct" and "strong_coinduct" properties
blanchet
parents:
49590
diff
changeset
|
2344 |
| eq_fpT_check _ _ = false; |
49146 | 2345 |
|
53222 | 2346 |
fun freeze_fp (T as Type (s, Ts)) = |
49591
91b228e26348
generate high-level "coinduct" and "strong_coinduct" properties
blanchet
parents:
49590
diff
changeset
|
2347 |
(case find_index (eq_fpT_check T) fake_Ts of |
53222 | 2348 |
~1 => Type (s, map freeze_fp Ts) |
49591
91b228e26348
generate high-level "coinduct" and "strong_coinduct" properties
blanchet
parents:
49590
diff
changeset
|
2349 |
| kk => nth Xs kk) |
49204 | 2350 |
| freeze_fp T = T; |
49121 | 2351 |
|
53222 | 2352 |
val unfreeze_fp = Term.typ_subst_atomic (Xs ~~ fake_Ts); |
2353 |
||
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
|
2354 |
val ctrXs_Tsss = map (map (map freeze_fp)) fake_ctr_Tsss; |
55966 | 2355 |
val ctrXs_repTs = map mk_sumprodT_balanced ctrXs_Tsss; |
49119 | 2356 |
|
58731 | 2357 |
val _ = |
2358 |
let |
|
62687 | 2359 |
fun add_deps i = |
2360 |
fold (fn T => fold_index (fn (j, X) => |
|
63851 | 2361 |
(i <> j andalso exists_subtype_in [X] T) ? insert (op =) (i, j)) Xs); |
62687 | 2362 |
|
2363 |
val add_missing_nodes = fold (AList.default (op =) o rpair []) (0 upto nn - 1); |
|
2364 |
||
2365 |
val deps = fold_index (uncurry (fold o add_deps)) ctrXs_Tsss [] |
|
2366 |
|> AList.group (op =) |
|
2367 |
|> add_missing_nodes; |
|
2368 |
||
2369 |
val G = Int_Graph.make (map (apfst (rpair ())) deps); |
|
2370 |
val sccs = map (sort int_ord) (Int_Graph.strong_conn G); |
|
58731 | 2371 |
|
63694 | 2372 |
val str_of_scc = prefix (co_prefix fp ^ "datatype ") o |
58731 | 2373 |
space_implode " and " o map (suffix " = \<dots>" o Long_Name.base_name); |
2374 |
||
2375 |
fun warn [_] = () |
|
2376 |
| warn sccs = |
|
2377 |
warning ("Defined types not fully mutually " ^ co_prefix fp ^ "recursive\n\ |
|
2378 |
\Alternative specification:\n" ^ |
|
2379 |
cat_lines (map (prefix " " o str_of_scc o map (nth fp_b_names)) sccs)); |
|
62687 | 2380 |
in |
2381 |
warn (order_strong_conn (op =) Int_Graph.make Int_Graph.topological_order deps sccs) |
|
2382 |
end; |
|
58731 | 2383 |
|
55701 | 2384 |
val killed_As = |
2385 |
map_filter (fn (A, set_bos) => if exists is_none set_bos then SOME A else NONE) |
|
63551 | 2386 |
(As ~~ transpose set_boss); |
55701 | 2387 |
|
62720 | 2388 |
val (((pre_bnfs, absT_infos), _), (fp_res as {bnfs = fp_bnfs as any_fp_bnf :: _, ctors = ctors0, |
63813 | 2389 |
dtors = dtors0, xtor_co_recs = xtor_co_recs0, xtor_co_induct, dtor_ctors, ctor_dtors, |
2390 |
ctor_injects, dtor_injects, xtor_maps, xtor_setss, xtor_rels, xtor_co_rec_thms, |
|
2391 |
xtor_rel_co_induct, dtor_set_inducts, xtor_co_rec_transfers, xtor_co_rec_o_maps, ...}, |
|
53203
222ea6acbdd6
moved derivation of ctor_dtor_unfold to sugar (streamlines fp_result interface)
traytel
parents:
53143
diff
changeset
|
2392 |
lthy)) = |
63802 | 2393 |
fixpoint_bnf false I (construct_fp mixfixes map_bs rel_bs pred_bs set_bss) fp_bs |
2394 |
(map dest_TFree As) (map dest_TFree killed_As) (map dest_TFree Xs) ctrXs_repTs |
|
63818 | 2395 |
empty_comp_cache lthy |
53222 | 2396 |
handle BAD_DEAD (X, X_backdrop) => |
2397 |
(case X_backdrop of |
|
2398 |
Type (bad_tc, _) => |
|
2399 |
let |
|
2400 |
val fake_T = qsoty (unfreeze_fp X); |
|
2401 |
val fake_T_backdrop = qsoty (unfreeze_fp X_backdrop); |
|
2402 |
fun register_hint () = |
|
59936
b8ffc3dc9e24
@{command_spec} is superseded by @{command_keyword};
wenzelm
parents:
59877
diff
changeset
|
2403 |
"\nUse the " ^ quote (#1 @{command_keyword bnf}) ^ " command to register " ^ |
53222 | 2404 |
quote bad_tc ^ " as a bounded natural functor to allow nested (co)recursion through \ |
2405 |
\it"; |
|
2406 |
in |
|
63818 | 2407 |
if is_some (bnf_of lthy bad_tc) orelse is_some (fp_sugar_of lthy bad_tc) then |
53256 | 2408 |
error ("Inadmissible " ^ co_prefix fp ^ "recursive occurrence of type " ^ fake_T ^ |
2409 |
" in type expression " ^ fake_T_backdrop) |
|
63818 | 2410 |
else if is_some (Old_Datatype_Data.get_info (Proof_Context.theory_of lthy) |
53222 | 2411 |
bad_tc) then |
2412 |
error ("Unsupported " ^ co_prefix fp ^ "recursive occurrence of type " ^ fake_T ^ |
|
2413 |
" via the old-style datatype " ^ quote bad_tc ^ " in type expression " ^ |
|
2414 |
fake_T_backdrop ^ register_hint ()) |
|
2415 |
else |
|
2416 |
error ("Unsupported " ^ co_prefix fp ^ "recursive occurrence of type " ^ fake_T ^ |
|
2417 |
" via type constructor " ^ quote bad_tc ^ " in type expression " ^ fake_T_backdrop ^ |
|
2418 |
register_hint ()) |
|
2419 |
end); |
|
49585
5c4a12550491
generate high-level "maps", "sets", and "rels" properties
blanchet
parents:
49583
diff
changeset
|
2420 |
|
53143
ba80154a1118
configuration option to control timing output for (co)datatypes
traytel
parents:
53126
diff
changeset
|
2421 |
val time = time lthy; |
49585
5c4a12550491
generate high-level "maps", "sets", and "rels" properties
blanchet
parents:
49583
diff
changeset
|
2422 |
val timer = time (Timer.startRealTimer ()); |
49121 | 2423 |
|
57397 | 2424 |
val fp_nesting_bnfs = nesting_bnfs lthy ctrXs_Tsss Xs; |
2425 |
val live_nesting_bnfs = nesting_bnfs lthy ctrXs_Tsss As; |
|
49226 | 2426 |
|
49585
5c4a12550491
generate high-level "maps", "sets", and "rels" properties
blanchet
parents:
49583
diff
changeset
|
2427 |
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
|
2428 |
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
|
2429 |
val pre_rel_defs = map rel_def_of_bnf pre_bnfs; |
57397 | 2430 |
val fp_nesting_set_maps = maps set_map_of_bnf fp_nesting_bnfs; |
62335 | 2431 |
val fp_nesting_rel_eq_onps = map rel_eq_onp_of_bnf fp_nesting_bnfs; |
58347 | 2432 |
val live_nesting_map_id0s = map map_id0_of_bnf live_nesting_bnfs; |
58732 | 2433 |
val live_nesting_map_ident0s = map map_ident0_of_bnf live_nesting_bnfs; |
57397 | 2434 |
val live_nesting_set_maps = maps set_map_of_bnf live_nesting_bnfs; |
58328 | 2435 |
val live_nesting_rel_eqs = map rel_eq_of_bnf live_nesting_bnfs; |
62335 | 2436 |
val live_nesting_rel_eq_onps = map rel_eq_onp_of_bnf live_nesting_bnfs; |
49585
5c4a12550491
generate high-level "maps", "sets", and "rels" properties
blanchet
parents:
49583
diff
changeset
|
2437 |
|
63824 | 2438 |
val liveness = liveness_of_fp_bnf num_As any_fp_bnf; |
49585
5c4a12550491
generate high-level "maps", "sets", and "rels" properties
blanchet
parents:
49583
diff
changeset
|
2439 |
val live = live_of_bnf any_fp_bnf; |
52961 | 2440 |
val _ = |
62324 | 2441 |
if live = 0 andalso exists (not o Binding.is_empty) (map_bs @ rel_bs @ pred_bs) then |
2442 |
warning "Map function, relator, and predicator names ignored" |
|
52961 | 2443 |
else |
2444 |
(); |
|
49585
5c4a12550491
generate high-level "maps", "sets", and "rels" properties
blanchet
parents:
49583
diff
changeset
|
2445 |
|
63824 | 2446 |
val Bs = @{map 3} (fn alive => fn A as TFree (_, S) => fn B => |
2447 |
if alive then resort_tfree_or_tvar S B else A) |
|
2448 |
liveness As Bs0; |
|
49585
5c4a12550491
generate high-level "maps", "sets", and "rels" properties
blanchet
parents:
49583
diff
changeset
|
2449 |
|
58446 | 2450 |
val B_ify_T = Term.typ_subst_atomic (As ~~ Bs); |
63839 | 2451 |
val B_ify = Term.map_types B_ify_T; |
2452 |
||
58732 | 2453 |
val live_AsBs = filter (op <>) (As ~~ Bs); |
49167 | 2454 |
|
63824 | 2455 |
val abss = map #abs absT_infos; |
2456 |
val reps = map #rep absT_infos; |
|
2457 |
val absTs = map #absT absT_infos; |
|
2458 |
val repTs = map #repT absT_infos; |
|
2459 |
val abs_injects = map #abs_inject absT_infos; |
|
2460 |
val abs_inverses = map #abs_inverse absT_infos; |
|
2461 |
val type_definitions = map #type_definition absT_infos; |
|
2462 |
||
49501 | 2463 |
val ctors = map (mk_ctor As) ctors0; |
2464 |
val dtors = map (mk_dtor As) dtors0; |
|
49124 | 2465 |
|
49501 | 2466 |
val fpTs = map (domain_type o fastype_of) dtors; |
58446 | 2467 |
val fpBTs = map B_ify_T fpTs; |
49362
1271aca16aed
make tactic more robust in the case where "asm_simp_tac" already finishes the job
blanchet
parents:
49361
diff
changeset
|
2468 |
|
63814 | 2469 |
val code_attrs = |
2470 |
if plugins code_plugin then [Code.add_default_eqn_attrib Code.Equation] else []; |
|
58337 | 2471 |
|
63818 | 2472 |
val real_unfreeze_fp = Term.typ_subst_atomic (Xs ~~ fpTs); |
2473 |
||
2474 |
val ctr_Tsss = map (map (map real_unfreeze_fp)) ctrXs_Tsss; |
|
49203 | 2475 |
val ns = map length ctr_Tsss; |
49212 | 2476 |
val kss = map (fn n => 1 upto n) ns; |
49203 | 2477 |
val mss = map (map length) ctr_Tsss; |
2478 |
||
61551 | 2479 |
val (xtor_co_recs, recs_args_types, corecs_args_types) = |
2480 |
mk_co_recs_prelims lthy fp ctr_Tsss fpTs Cs absTs repTs ns mss xtor_co_recs0; |
|
49210 | 2481 |
|
63814 | 2482 |
fun define_ctrs_dtrs_for_type_etc fp_bnf fp_b fpT C E ctor dtor xtor_co_rec ctor_dtor dtor_ctor |
2483 |
ctor_inject pre_map_def pre_set_defs pre_rel_def fp_map_thm fp_set_thms fp_rel_thm n ks ms |
|
2484 |
abs abs_inject type_definition ctr_bindings ctr_mixfixes ctr_Tss disc_bindings sel_bindingss |
|
63818 | 2485 |
raw_sel_default_eqs lthy = |
63814 | 2486 |
let |
63815 | 2487 |
val fp_b_name = Binding.name_of fp_b; |
2488 |
||
63814 | 2489 |
val ((xss, ctrs0, ctor_iff_dtor_thm, ctr_defs), lthy) = |
63815 | 2490 |
define_ctrs_dtrs_for_type fp_b_name fpT ctor dtor ctor_dtor dtor_ctor n ks abs |
63818 | 2491 |
ctr_bindings ctr_mixfixes ctr_Tss lthy; |
63814 | 2492 |
|
49203 | 2493 |
val ctrs = map (mk_ctr As) ctrs0; |
49121 | 2494 |
|
63818 | 2495 |
val sel_default_eqs = |
2496 |
let |
|
2497 |
val sel_Tss = map (map (curry (op -->) fpT)) ctr_Tss; |
|
2498 |
val sel_bTs = |
|
2499 |
flat sel_bindingss ~~ flat sel_Tss |
|
2500 |
|> filter_out (Binding.is_empty o fst) |
|
2501 |
|> distinct (Binding.eq_name o apply2 fst); |
|
2502 |
val sel_default_lthy = fake_local_theory_for_sel_defaults sel_bTs lthy |
|
2503 |
in |
|
2504 |
map (prepare_term sel_default_lthy) raw_sel_default_eqs |
|
2505 |
end; |
|
63816 | 2506 |
|
2507 |
fun mk_binding pre = |
|
2508 |
Binding.qualify false fp_b_name (Binding.prefix_name (pre ^ "_") fp_b); |
|
2509 |
||
2510 |
fun massage_res (ctr_sugar, maps_sets_rels) = |
|
2511 |
(maps_sets_rels, (ctrs, xss, ctor_iff_dtor_thm, ctr_defs, ctr_sugar)); |
|
49119 | 2512 |
in |
63839 | 2513 |
(wrap_ctrs plugins fp discs_sels fp_b_name ctor_inject n ms abs_inject type_definition |
63816 | 2514 |
disc_bindings sel_bindingss sel_default_eqs ctrs0 ctor_iff_dtor_thm ctr_defs |
58346 | 2515 |
#> (fn (ctr_sugar, lthy) => |
63814 | 2516 |
derive_map_set_rel_pred_thms plugins fp live As Bs C E abs_inverses ctr_defs |
64416 | 2517 |
fp_nesting_set_maps fp_nesting_rel_eq_onps live_nesting_map_id0s live_nesting_set_maps |
2518 |
live_nesting_rel_eqs live_nesting_rel_eq_onps [] fp_b_name fp_bnf fp_bnfs fpT ctor |
|
2519 |
ctor_dtor dtor_ctor pre_map_def pre_set_defs pre_rel_def fp_map_thm fp_set_thms |
|
2520 |
fp_rel_thm [] [] [] ctr_Tss ctr_sugar lthy |
|
58346 | 2521 |
|>> pair ctr_sugar) |
52313 | 2522 |
##>> |
56641
029997d3b5d8
reverted rb458558cbcc2 -- better to keep 'case' and 'rec' distinct, otherwise we lose the connection between 'ctor_rec' (the low-level recursor) and 'rec'
blanchet
parents:
56640
diff
changeset
|
2523 |
(if fp = Least_FP then define_rec (the recs_args_types) mk_binding fpTs Cs reps |
58352
37745650a3f4
register 'prod' and 'sum' as datatypes, to allow N2M through them
blanchet
parents:
58347
diff
changeset
|
2524 |
else define_corec (the corecs_args_types) mk_binding fpTs Cs abss) xtor_co_rec |
63816 | 2525 |
#>> apfst massage_res, lthy) |
49119 | 2526 |
end; |
49167 | 2527 |
|
63817 | 2528 |
fun wrap_ctrs_derive_map_set_rel_pred_thms_define_co_rec_for_types (wrap_one_etcs, lthy) = |
2529 |
fold_map I wrap_one_etcs lthy |
|
62335 | 2530 |
|>> apsnd split_list o apfst (apsnd @{split_list 5} o apfst @{split_list 17} o split_list) |
52342 | 2531 |
o split_list; |
49226 | 2532 |
|
58462 | 2533 |
fun mk_simp_thms ({injects, distincts, case_thms, ...} : ctr_sugar) co_recs map_thms rel_injects |
58565 | 2534 |
rel_distincts set_thmss = |
2535 |
injects @ distincts @ case_thms @ co_recs @ map_thms @ rel_injects @ rel_distincts @ |
|
2536 |
set_thmss; |
|
49479
504f0a38f608
added "simp"s to coiter/corec theorems + export under "simps" name
blanchet
parents:
49478
diff
changeset
|
2537 |
|
58448 | 2538 |
fun mk_co_rec_transfer_goals lthy co_recs = |
58446 | 2539 |
let |
63839 | 2540 |
val BE_ify = Term.subst_atomic_types (live_AsBs @ (Cs ~~ Es)); |
58446 | 2541 |
|
2542 |
val ((Rs, Ss), names_lthy) = lthy |
|
58732 | 2543 |
|> mk_Frees "R" (map (uncurry mk_pred2T) live_AsBs) |
58446 | 2544 |
||>> mk_Frees "S" (map2 mk_pred2T Cs Es); |
2545 |
||
63839 | 2546 |
val co_recBs = map BE_ify co_recs; |
58446 | 2547 |
in |
58448 | 2548 |
(Rs, Ss, map2 (mk_parametricity_goal lthy (Rs @ Ss)) co_recs co_recBs, names_lthy) |
2549 |
end; |
|
2550 |
||
58966 | 2551 |
fun derive_rec_transfer_thms lthy recs rec_defs (SOME (_, _, _, xsssss)) = |
61334
8d40ddaa427f
collect the names from goals in favor of fragile exports
traytel
parents:
61301
diff
changeset
|
2552 |
let |
8d40ddaa427f
collect the names from goals in favor of fragile exports
traytel
parents:
61301
diff
changeset
|
2553 |
val (Rs, Ss, goals, _) = mk_co_rec_transfer_goals lthy recs; |
8d40ddaa427f
collect the names from goals in favor of fragile exports
traytel
parents:
61301
diff
changeset
|
2554 |
val goal = Logic.mk_conjunction_balanced goals; |
8d40ddaa427f
collect the names from goals in favor of fragile exports
traytel
parents:
61301
diff
changeset
|
2555 |
val vars = Variable.add_free_names lthy goal []; |
8d40ddaa427f
collect the names from goals in favor of fragile exports
traytel
parents:
61301
diff
changeset
|
2556 |
in |
8d40ddaa427f
collect the names from goals in favor of fragile exports
traytel
parents:
61301
diff
changeset
|
2557 |
Goal.prove_sorry lthy vars [] goal |
58446 | 2558 |
(fn {context = ctxt, prems = _} => |
61760 | 2559 |
mk_rec_transfer_tac ctxt nn ns (map (Thm.cterm_of ctxt) Ss) |
2560 |
(map (Thm.cterm_of ctxt) Rs) xsssss rec_defs xtor_co_rec_transfers pre_rel_defs |
|
2561 |
live_nesting_rel_eqs) |
|
61116
6189d179c2b5
close derivation *before* splitting conjuncts, like Goal.prove_common (see also 757cad5a3fe9) -- potential improvement of performance;
wenzelm
parents:
61101
diff
changeset
|
2562 |
|> Thm.close_derivation |
58446 | 2563 |
|> Conjunction.elim_balanced nn |
2564 |
end; |
|
2565 |
||
58732 | 2566 |
fun derive_rec_o_map_thmss lthy recs rec_defs = |
62335 | 2567 |
if live = 0 then |
2568 |
replicate nn [] |
|
58732 | 2569 |
else |
2570 |
let |
|
2571 |
fun variant_names n pre = fst (Variable.variant_fixes (replicate n pre) lthy); |
|
2572 |
||
2573 |
val maps0 = map map_of_bnf fp_bnfs; |
|
2574 |
val f_names = variant_names num_As "f"; |
|
63824 | 2575 |
val fs = map2 (curry Free) f_names (map (op -->) (As ~~ Bs)); |
58732 | 2576 |
val live_gs = AList.find (op =) (fs ~~ liveness) true; |
2577 |
||
2578 |
val gmaps = map (fn map0 => Term.list_comb (mk_map live As Bs map0, live_gs)) maps0; |
|
2579 |
||
59819 | 2580 |
val rec_arg_Ts = binder_fun_types (hd (map fastype_of recs)); |
58732 | 2581 |
|
2582 |
val num_rec_args = length rec_arg_Ts; |
|
2583 |
val g_Ts = map B_ify_T rec_arg_Ts; |
|
2584 |
val g_names = variant_names num_rec_args "g"; |
|
2585 |
val gs = map2 (curry Free) g_names g_Ts; |
|
2586 |
val grecs = map (fn recx => Term.list_comb (Term.map_types B_ify_T recx, gs)) recs; |
|
2587 |
||
2588 |
val rec_o_map_lhss = map2 (curry HOLogic.mk_comp) grecs gmaps; |
|
2589 |
||
63824 | 2590 |
val ABfs = (As ~~ Bs) ~~ fs; |
58732 | 2591 |
|
2592 |
fun mk_rec_arg_arg (x as Free (_, T)) = |
|
2593 |
let val U = B_ify_T T in |
|
2594 |
if T = U then x else build_map lthy [] (the o AList.lookup (op =) ABfs) (T, U) $ x |
|
2595 |
end; |
|
2596 |
||
2597 |
fun mk_rec_o_map_arg rec_arg_T h = |
|
2598 |
let |
|
2599 |
val x_Ts = binder_types rec_arg_T; |
|
2600 |
val m = length x_Ts; |
|
2601 |
val x_names = variant_names m "x"; |
|
2602 |
val xs = map2 (curry Free) x_names x_Ts; |
|
2603 |
val xs' = map mk_rec_arg_arg xs; |
|
2604 |
in |
|
2605 |
fold_rev Term.lambda xs (Term.list_comb (h, xs')) |
|
2606 |
end; |
|
2607 |
||
2608 |
fun mk_rec_o_map_rhs recx = |
|
2609 |
let val args = map2 mk_rec_o_map_arg rec_arg_Ts gs in |
|
2610 |
Term.list_comb (recx, args) |
|
2611 |
end; |
|
2612 |
||
2613 |
val rec_o_map_rhss = map mk_rec_o_map_rhs recs; |
|
2614 |
||
2615 |
val rec_o_map_goals = |
|
2616 |
map2 (fold_rev (fold_rev Logic.all) [fs, gs] o HOLogic.mk_Trueprop oo |
|
2617 |
curry HOLogic.mk_eq) rec_o_map_lhss rec_o_map_rhss; |
|
2618 |
val rec_o_map_thms = |
|
2619 |
@{map 3} (fn goal => fn rec_def => fn ctor_rec_o_map => |
|
2620 |
Goal.prove_sorry lthy [] [] goal (fn {context = ctxt, ...} => |
|
58734 | 2621 |
mk_co_rec_o_map_tac ctxt rec_def pre_map_defs live_nesting_map_ident0s |
2622 |
abs_inverses ctor_rec_o_map) |
|
58732 | 2623 |
|> Thm.close_derivation) |
2624 |
rec_o_map_goals rec_defs xtor_co_rec_o_maps; |
|
2625 |
in |
|
2626 |
map single rec_o_map_thms |
|
2627 |
end; |
|
2628 |
||
55867 | 2629 |
fun derive_note_induct_recs_thms_for_types |
58672
3f0d612ebd8e
preserve the structure of 'map_sel' theorem in ML
desharna
parents:
58671
diff
changeset
|
2630 |
((((map_thmss, map_disc_iffss, map_selsss, rel_injectss, rel_distinctss, rel_selss, |
62335 | 2631 |
rel_intross, rel_casess, pred_injectss, set_thmss, set_selsssss, set_introsssss, |
58676 | 2632 |
set_casess, ctr_transferss, case_transferss, disc_transferss, sel_transferss), |
62321
1abe81758619
keep 'ctor_iff_dtor' theorem around in BNF FP database
blanchet
parents:
62320
diff
changeset
|
2633 |
(ctrss, _, ctor_iff_dtors, ctr_defss, ctr_sugars)), |
55864 | 2634 |
(recs, rec_defs)), lthy) = |
49202
f493cd25737f
some work towards iterator and recursor properties
blanchet
parents:
49201
diff
changeset
|
2635 |
let |
55869 | 2636 |
val ((induct_thms, induct_thm, induct_attrs), (rec_thmss, rec_attrs)) = |
58335
a5a3b576fcfb
generate 'code' attribute only if 'code' plugin is enabled
blanchet
parents:
58332
diff
changeset
|
2637 |
derive_induct_recs_thms_for_types plugins pre_bnfs recs_args_types xtor_co_induct |
a5a3b576fcfb
generate 'code' attribute only if 'code' plugin is enabled
blanchet
parents:
58332
diff
changeset
|
2638 |
xtor_co_rec_thms live_nesting_bnfs fp_nesting_bnfs fpTs Cs Xs ctrXs_Tsss abs_inverses |
a5a3b576fcfb
generate 'code' attribute only if 'code' plugin is enabled
blanchet
parents:
58332
diff
changeset
|
2639 |
type_definitions abs_inverses ctrss ctr_defss recs rec_defs lthy; |
49201 | 2640 |
|
58446 | 2641 |
val rec_transfer_thmss = |
58967
6b6032e99a4b
also generate '(co)rec_transfer' for (co)datatypes with 0 live type variables
desharna
parents:
58966
diff
changeset
|
2642 |
map single (derive_rec_transfer_thms lthy recs rec_defs recs_args_types); |
58446 | 2643 |
|
51830 | 2644 |
val induct_type_attr = Attrib.internal o K o Induct.induct_type; |
57471 | 2645 |
val induct_pred_attr = Attrib.internal o K o Induct.induct_pred; |
2646 |
||
2647 |
val ((rel_induct_thmss, common_rel_induct_thms), |
|
2648 |
(rel_induct_attrs, common_rel_induct_attrs)) = |
|
2649 |
if live = 0 then |
|
2650 |
((replicate nn [], []), ([], [])) |
|
2651 |
else |
|
2652 |
let |
|
2653 |
val ((rel_induct_thms, common_rel_induct_thm), rel_induct_attrs) = |
|
62158
c25c62055180
generate stronger 'rel_(co)induct' and 'coinduct' principles for mutually (co)recursive (co)datatypes
blanchet
parents:
62093
diff
changeset
|
2654 |
derive_rel_induct_thms_for_types lthy nn fpTs As Bs ctrss ctr_Tsss |
58579
b7bc5ba2f3fb
rename 'rel_xtor_co_induct_thm' to 'xtor_rel_co_induct'
desharna
parents:
58577
diff
changeset
|
2655 |
(map #exhaust ctr_sugars) xtor_rel_co_induct ctr_defss ctor_injects |
58328 | 2656 |
pre_rel_defs abs_inverses live_nesting_rel_eqs; |
57471 | 2657 |
in |
2658 |
((map single rel_induct_thms, single common_rel_induct_thm), |
|
2659 |
(rel_induct_attrs, rel_induct_attrs)) |
|
2660 |
end; |
|
51810
7b75fab5ebf5
factored out derivation of coinduction, unfold, corec
blanchet
parents:
51808
diff
changeset
|
2661 |
|
58732 | 2662 |
val rec_o_map_thmss = derive_rec_o_map_thmss lthy recs rec_defs; |
2663 |
||
51835
56523caf372f
Added maps, sets, rels to "simps" thm collection
blanchet
parents:
51833
diff
changeset
|
2664 |
val simp_thmss = |
61760 | 2665 |
@{map 6} mk_simp_thms ctr_sugars rec_thmss map_thmss rel_injectss rel_distinctss |
2666 |
set_thmss; |
|
49438 | 2667 |
|
49337 | 2668 |
val common_notes = |
57471 | 2669 |
(if nn > 1 then |
57700 | 2670 |
[(inductN, [induct_thm], K induct_attrs), |
2671 |
(rel_inductN, common_rel_induct_thms, K common_rel_induct_attrs)] |
|
57633 | 2672 |
else |
2673 |
[]) |
|
51780 | 2674 |
|> massage_simple_notes fp_common_name; |
49337 | 2675 |
|
49226 | 2676 |
val notes = |
55856
bddaada24074
got rid of automatically generated fold constant and theorems (to reduce overhead)
blanchet
parents:
55803
diff
changeset
|
2677 |
[(inductN, map single induct_thms, fn T_name => induct_attrs @ [induct_type_attr T_name]), |
55869 | 2678 |
(recN, rec_thmss, K rec_attrs), |
58732 | 2679 |
(rec_o_mapN, rec_o_map_thmss, K []), |
58446 | 2680 |
(rec_transferN, rec_transfer_thmss, K []), |
57471 | 2681 |
(rel_inductN, rel_induct_thmss, K (rel_induct_attrs @ [induct_pred_attr ""])), |
49585
5c4a12550491
generate high-level "maps", "sets", and "rels" properties
blanchet
parents:
49583
diff
changeset
|
2682 |
(simpsN, simp_thmss, K [])] |
58346 | 2683 |
|> massage_multi_notes fp_b_names fpTs; |
49202
f493cd25737f
some work towards iterator and recursor properties
blanchet
parents:
49201
diff
changeset
|
2684 |
in |
51824 | 2685 |
lthy |
56641
029997d3b5d8
reverted rb458558cbcc2 -- better to keep 'case' and 'rec' distinct, otherwise we lose the connection between 'ctor_rec' (the low-level recursor) and 'rec'
blanchet
parents:
56640
diff
changeset
|
2686 |
|> Spec_Rules.add Spec_Rules.Equational (recs, flat rec_thmss) |
57631
959caab43a3d
use the noted theorem whenever possible, also in 'BNF_Def'
blanchet
parents:
57568
diff
changeset
|
2687 |
|> Local_Theory.notes (common_notes @ notes) |
57633 | 2688 |
(* for "datatype_realizer.ML": *) |
2689 |
|>> name_noted_thms |
|
59794 | 2690 |
(fst (dest_Type (hd fpTs)) ^ implode (map (prefix "_") (tl fp_b_names))) inductN |
58189
9d714be4f028
added 'plugins' option to control which hooks are enabled
blanchet
parents:
58188
diff
changeset
|
2691 |
|-> interpret_bnfs_register_fp_sugars plugins fpTs fpBTs Xs Least_FP pre_bnfs absT_infos |
62321
1abe81758619
keep 'ctor_iff_dtor' theorem around in BNF FP database
blanchet
parents:
62320
diff
changeset
|
2692 |
fp_nesting_bnfs live_nesting_bnfs fp_res ctrXs_Tsss ctor_iff_dtors ctr_defss ctr_sugars |
1abe81758619
keep 'ctor_iff_dtor' theorem around in BNF FP database
blanchet
parents:
62320
diff
changeset
|
2693 |
recs rec_defs map_thmss [induct_thm] (map single induct_thms) rec_thmss (replicate nn []) |
58672
3f0d612ebd8e
preserve the structure of 'map_sel' theorem in ML
desharna
parents:
58671
diff
changeset
|
2694 |
(replicate nn []) rel_injectss rel_distinctss map_disc_iffss map_selsss rel_selss |
62335 | 2695 |
rel_intross rel_casess pred_injectss set_thmss set_selsssss set_introsssss set_casess |
63859
dca6fabd8060
make (co)induct component of 'fp_sugar' optional, for the benefit of nonuniform (co)datatypes and other similar extensions
blanchet
parents:
63853
diff
changeset
|
2696 |
ctr_transferss case_transferss disc_transferss sel_transferss (replicate nn []) |
dca6fabd8060
make (co)induct component of 'fp_sugar' optional, for the benefit of nonuniform (co)datatypes and other similar extensions
blanchet
parents:
63853
diff
changeset
|
2697 |
(replicate nn []) rec_transfer_thmss common_rel_induct_thms rel_induct_thmss [] |
dca6fabd8060
make (co)induct component of 'fp_sugar' optional, for the benefit of nonuniform (co)datatypes and other similar extensions
blanchet
parents:
63853
diff
changeset
|
2698 |
(replicate nn []) rec_o_map_thmss |
49202
f493cd25737f
some work towards iterator and recursor properties
blanchet
parents:
49201
diff
changeset
|
2699 |
end; |
f493cd25737f
some work towards iterator and recursor properties
blanchet
parents:
49201
diff
changeset
|
2700 |
|
58448 | 2701 |
fun derive_corec_transfer_thms lthy corecs corec_defs = |
2702 |
let |
|
61334
8d40ddaa427f
collect the names from goals in favor of fragile exports
traytel
parents:
61301
diff
changeset
|
2703 |
val (Rs, Ss, goals, _) = mk_co_rec_transfer_goals lthy corecs; |
58448 | 2704 |
val (_, _, _, (((pgss, pss, qssss, gssss), _), _)) = the corecs_args_types; |
61334
8d40ddaa427f
collect the names from goals in favor of fragile exports
traytel
parents:
61301
diff
changeset
|
2705 |
val goal = Logic.mk_conjunction_balanced goals; |
8d40ddaa427f
collect the names from goals in favor of fragile exports
traytel
parents:
61301
diff
changeset
|
2706 |
val vars = Variable.add_free_names lthy goal []; |
58448 | 2707 |
in |
61334
8d40ddaa427f
collect the names from goals in favor of fragile exports
traytel
parents:
61301
diff
changeset
|
2708 |
Goal.prove_sorry lthy vars [] goal |
58448 | 2709 |
(fn {context = ctxt, prems = _} => |
59621
291934bac95e
Thm.cterm_of and Thm.ctyp_of operate on local context;
wenzelm
parents:
59582
diff
changeset
|
2710 |
mk_corec_transfer_tac ctxt (map (Thm.cterm_of ctxt) Ss) (map (Thm.cterm_of ctxt) Rs) |
58581
e2e2d775869c
rename 'xtor_co_rec_transfer_thms' to 'xtor_co_rec_transfers'
desharna
parents:
58580
diff
changeset
|
2711 |
type_definitions corec_defs xtor_co_rec_transfers pre_rel_defs |
58448 | 2712 |
live_nesting_rel_eqs (flat pgss) pss qssss gssss) |
61116
6189d179c2b5
close derivation *before* splitting conjuncts, like Goal.prove_common (see also 757cad5a3fe9) -- potential improvement of performance;
wenzelm
parents:
61101
diff
changeset
|
2713 |
|> Thm.close_derivation |
58448 | 2714 |
|> Conjunction.elim_balanced (length goals) |
2715 |
end; |
|
2716 |
||
58734 | 2717 |
fun derive_map_o_corec_thmss lthy0 lthy2 corecs corec_defs = |
62335 | 2718 |
if live = 0 then |
2719 |
replicate nn [] |
|
58734 | 2720 |
else |
2721 |
let |
|
2722 |
fun variant_names n pre = fst (Variable.variant_fixes (replicate n pre) lthy0); |
|
63824 | 2723 |
|
58734 | 2724 |
val maps0 = map map_of_bnf fp_bnfs; |
2725 |
val f_names = variant_names num_As "f"; |
|
63824 | 2726 |
val fs = map2 (curry Free) f_names (map (op -->) (As ~~ Bs)); |
58734 | 2727 |
val live_fs = AList.find (op =) (fs ~~ liveness) true; |
2728 |
||
2729 |
val fmaps = map (fn map0 => Term.list_comb (mk_map live As Bs map0, live_fs)) maps0; |
|
2730 |
||
59819 | 2731 |
val corec_arg_Ts = binder_fun_types (hd (map fastype_of corecs)); |
58734 | 2732 |
|
2733 |
val num_rec_args = length corec_arg_Ts; |
|
2734 |
val g_names = variant_names num_rec_args "g"; |
|
2735 |
val gs = map2 (curry Free) g_names corec_arg_Ts; |
|
2736 |
val gcorecs = map (fn corecx => Term.list_comb (corecx, gs)) corecs; |
|
2737 |
||
2738 |
val map_o_corec_lhss = map2 (curry HOLogic.mk_comp) fmaps gcorecs; |
|
2739 |
||
63824 | 2740 |
val ABfs = (As ~~ Bs) ~~ fs; |
58734 | 2741 |
|
2742 |
fun mk_map_o_corec_arg corec_argB_T g = |
|
2743 |
let |
|
2744 |
val T = range_type (fastype_of g); |
|
2745 |
val U = range_type corec_argB_T; |
|
2746 |
in |
|
2747 |
if T = U then g |
|
63824 | 2748 |
else HOLogic.mk_comp (build_map lthy2 [] (the o AList.lookup (op =) ABfs) (T, U), g) |
58734 | 2749 |
end; |
2750 |
||
2751 |
fun mk_map_o_corec_rhs corecx = |
|
2752 |
let val args = map2 (mk_map_o_corec_arg o B_ify_T) corec_arg_Ts gs in |
|
2753 |
Term.list_comb (B_ify corecx, args) |
|
2754 |
end; |
|
2755 |
||
2756 |
val map_o_corec_rhss = map mk_map_o_corec_rhs corecs; |
|
2757 |
||
2758 |
val map_o_corec_goals = |
|
2759 |
map2 (fold_rev (fold_rev Logic.all) [fs, gs] o HOLogic.mk_Trueprop oo |
|
2760 |
curry HOLogic.mk_eq) map_o_corec_lhss map_o_corec_rhss; |
|
2761 |
||
2762 |
val map_o_corec_thms = |
|
2763 |
@{map 3} (fn goal => fn corec_def => fn dtor_map_o_corec => |
|
2764 |
Goal.prove_sorry lthy2 [] [] goal (fn {context = ctxt, ...} => |
|
2765 |
mk_co_rec_o_map_tac ctxt corec_def pre_map_defs live_nesting_map_ident0s |
|
2766 |
abs_inverses dtor_map_o_corec) |
|
2767 |
|> Thm.close_derivation) |
|
2768 |
map_o_corec_goals corec_defs xtor_co_rec_o_maps; |
|
2769 |
in |
|
2770 |
map single map_o_corec_thms |
|
2771 |
end; |
|
2772 |
||
55867 | 2773 |
fun derive_note_coinduct_corecs_thms_for_types |
58672
3f0d612ebd8e
preserve the structure of 'map_sel' theorem in ML
desharna
parents:
58671
diff
changeset
|
2774 |
((((map_thmss, map_disc_iffss, map_selsss, rel_injectss, rel_distinctss, rel_selss, |
62335 | 2775 |
rel_intross, rel_casess, pred_injectss, set_thmss, set_selsssss, set_introsssss, |
2776 |
set_casess, ctr_transferss, case_transferss, disc_transferss, sel_transferss), |
|
62321
1abe81758619
keep 'ctor_iff_dtor' theorem around in BNF FP database
blanchet
parents:
62320
diff
changeset
|
2777 |
(_, _, ctor_iff_dtors, ctr_defss, ctr_sugars)), |
55867 | 2778 |
(corecs, corec_defs)), lthy) = |
49212 | 2779 |
let |
57983
6edc3529bb4e
reordered some (co)datatype property names for more consistency
blanchet
parents:
57932
diff
changeset
|
2780 |
val (([(coinduct_thms, coinduct_thm), (coinduct_strong_thms, coinduct_strong_thm)], |
57260
8747af0d1012
fixed postprocessing of 'coinduct' formula to obtain right property format (without needless hypotheses)
blanchet
parents:
57206
diff
changeset
|
2781 |
(coinduct_attrs, common_coinduct_attrs)), |
57983
6edc3529bb4e
reordered some (co)datatype property names for more consistency
blanchet
parents:
57932
diff
changeset
|
2782 |
corec_thmss, corec_disc_thmss, |
6edc3529bb4e
reordered some (co)datatype property names for more consistency
blanchet
parents:
57932
diff
changeset
|
2783 |
(corec_disc_iff_thmss, corec_disc_iff_attrs), (corec_sel_thmsss, corec_sel_attrs)) = |
55867 | 2784 |
derive_coinduct_corecs_thms_for_types pre_bnfs (the corecs_args_types) xtor_co_induct |
57397 | 2785 |
dtor_injects dtor_ctors xtor_co_rec_thms live_nesting_bnfs fpTs Cs Xs ctrXs_Tsss kss mss |
61334
8d40ddaa427f
collect the names from goals in favor of fragile exports
traytel
parents:
61301
diff
changeset
|
2786 |
ns abs_inverses abs_inverses I ctr_defss ctr_sugars corecs corec_defs lthy; |
49212 | 2787 |
|
58264 | 2788 |
fun distinct_prems ctxt thm = |
57890
1e13f63fb452
use Goal.prove_sorry instead of Goal.prove where possible (= no schematics in goal and tactic is expected to succeed)
traytel
parents:
57882
diff
changeset
|
2789 |
Goal.prove (*no sorry*) ctxt [] [] |
58264 | 2790 |
(thm |> Thm.prop_of |> Logic.strip_horn |>> distinct (op aconv) |> Logic.list_implies) |
58963
26bf09b95dda
proper context for assume_tac (atac remains as fall-back without context);
wenzelm
parents:
58935
diff
changeset
|
2791 |
(fn _ => HEADGOAL (cut_tac thm THEN' assume_tac ctxt) THEN ALLGOALS eq_assume_tac); |
57489 | 2792 |
|
2793 |
fun eq_ifIN _ [thm] = thm |
|
2794 |
| eq_ifIN ctxt (thm :: thms) = |
|
2795 |
distinct_prems ctxt (@{thm eq_ifI} OF |
|
2796 |
(map (unfold_thms ctxt @{thms atomize_imp[of _ "t = u" for t u]}) |
|
2797 |
[thm, eq_ifIN ctxt thms])); |
|
2798 |
||
57890
1e13f63fb452
use Goal.prove_sorry instead of Goal.prove where possible (= no schematics in goal and tactic is expected to succeed)
traytel
parents:
57882
diff
changeset
|
2799 |
val corec_code_thms = map (eq_ifIN lthy) corec_thmss; |
57983
6edc3529bb4e
reordered some (co)datatype property names for more consistency
blanchet
parents:
57932
diff
changeset
|
2800 |
val corec_sel_thmss = map flat corec_sel_thmsss; |
53475 | 2801 |
|
51830 | 2802 |
val coinduct_type_attr = Attrib.internal o K o Induct.coinduct_type; |
57302 | 2803 |
val coinduct_pred_attr = Attrib.internal o K o Induct.coinduct_pred; |
49479
504f0a38f608
added "simp"s to coiter/corec theorems + export under "simps" name
blanchet
parents:
49478
diff
changeset
|
2804 |
|
55867 | 2805 |
val flat_corec_thms = append oo append; |
49479
504f0a38f608
added "simp"s to coiter/corec theorems + export under "simps" name
blanchet
parents:
49478
diff
changeset
|
2806 |
|
58967
6b6032e99a4b
also generate '(co)rec_transfer' for (co)datatypes with 0 live type variables
desharna
parents:
58966
diff
changeset
|
2807 |
val corec_transfer_thmss = map single (derive_corec_transfer_thms lthy corecs corec_defs); |
58448 | 2808 |
|
57471 | 2809 |
val ((rel_coinduct_thmss, common_rel_coinduct_thms), |
2810 |
(rel_coinduct_attrs, common_rel_coinduct_attrs)) = |
|
2811 |
if live = 0 then |
|
2812 |
((replicate nn [], []), ([], [])) |
|
2813 |
else |
|
2814 |
let |
|
2815 |
val ((rel_coinduct_thms, common_rel_coinduct_thm), |
|
2816 |
(rel_coinduct_attrs, common_rel_coinduct_attrs)) = |
|
62158
c25c62055180
generate stronger 'rel_(co)induct' and 'coinduct' principles for mutually (co)recursive (co)datatypes
blanchet
parents:
62093
diff
changeset
|
2817 |
derive_rel_coinduct_thms_for_types lthy nn fpTs ns As Bs mss ctr_sugars abs_inverses |
58579
b7bc5ba2f3fb
rename 'rel_xtor_co_induct_thm' to 'xtor_rel_co_induct'
desharna
parents:
58577
diff
changeset
|
2818 |
abs_injects ctor_injects dtor_ctors pre_rel_defs ctr_defss xtor_rel_co_induct |
58328 | 2819 |
live_nesting_rel_eqs; |
57471 | 2820 |
in |
2821 |
((map single rel_coinduct_thms, single common_rel_coinduct_thm), |
|
2822 |
(rel_coinduct_attrs, common_rel_coinduct_attrs)) |
|
2823 |
end; |
|
2824 |
||
58734 | 2825 |
val map_o_corec_thmss = derive_map_o_corec_thmss lthy lthy corecs corec_defs; |
2826 |
||
57700 | 2827 |
val (set_induct_thms, set_induct_attrss) = |
2828 |
derive_set_induct_thms_for_types lthy nn fpTs (map #ctrs ctr_sugars) |
|
58580
8ee2d984caa8
rename 'dtor_set_induct_thms' to 'dtor_set_inducts'
desharna
parents:
58579
diff
changeset
|
2829 |
(map (map (mk_set As)) (map sets_of_bnf fp_bnfs)) dtor_set_inducts |
62320 | 2830 |
(map #exhaust ctr_sugars) (flat pre_set_defss) (flat ctr_defss) dtor_ctors abs_inverses |
57700 | 2831 |
|> split_list; |
2832 |
||
49479
504f0a38f608
added "simp"s to coiter/corec theorems + export under "simps" name
blanchet
parents:
49478
diff
changeset
|
2833 |
val simp_thmss = |
58634
9f10d82e8188
added parameterized ML antiquotations @{map N}, @{fold N}, @{fold_map N}, @{split_list N};
wenzelm
parents:
58586
diff
changeset
|
2834 |
@{map 6} mk_simp_thms ctr_sugars |
9f10d82e8188
added parameterized ML antiquotations @{map N}, @{fold N}, @{fold_map N}, @{split_list N};
wenzelm
parents:
58586
diff
changeset
|
2835 |
(@{map 3} flat_corec_thms corec_disc_thmss corec_disc_iff_thmss corec_sel_thmss) |
58565 | 2836 |
map_thmss rel_injectss rel_distinctss set_thmss; |
49479
504f0a38f608
added "simp"s to coiter/corec theorems + export under "simps" name
blanchet
parents:
49478
diff
changeset
|
2837 |
|
49342 | 2838 |
val common_notes = |
57700 | 2839 |
(set_inductN, set_induct_thms, nth set_induct_attrss) :: |
57302 | 2840 |
(if nn > 1 then |
57700 | 2841 |
[(coinductN, [coinduct_thm], K common_coinduct_attrs), |
57983
6edc3529bb4e
reordered some (co)datatype property names for more consistency
blanchet
parents:
57932
diff
changeset
|
2842 |
(coinduct_strongN, [coinduct_strong_thm], K common_coinduct_attrs), |
6edc3529bb4e
reordered some (co)datatype property names for more consistency
blanchet
parents:
57932
diff
changeset
|
2843 |
(rel_coinductN, common_rel_coinduct_thms, K common_rel_coinduct_attrs)] |
57700 | 2844 |
else []) |
51780 | 2845 |
|> massage_simple_notes fp_common_name; |
49342 | 2846 |
|
49212 | 2847 |
val notes = |
51780 | 2848 |
[(coinductN, map single coinduct_thms, |
51810
7b75fab5ebf5
factored out derivation of coinduction, unfold, corec
blanchet
parents:
51808
diff
changeset
|
2849 |
fn T_name => coinduct_attrs @ [coinduct_type_attr T_name]), |
57983
6edc3529bb4e
reordered some (co)datatype property names for more consistency
blanchet
parents:
57932
diff
changeset
|
2850 |
(coinduct_strongN, map single coinduct_strong_thms, K coinduct_attrs), |
57489 | 2851 |
(corecN, corec_thmss, K []), |
58335
a5a3b576fcfb
generate 'code' attribute only if 'code' plugin is enabled
blanchet
parents:
58332
diff
changeset
|
2852 |
(corec_codeN, map single corec_code_thms, K (code_attrs @ nitpicksimp_attrs)), |
57983
6edc3529bb4e
reordered some (co)datatype property names for more consistency
blanchet
parents:
57932
diff
changeset
|
2853 |
(corec_discN, corec_disc_thmss, K []), |
6edc3529bb4e
reordered some (co)datatype property names for more consistency
blanchet
parents:
57932
diff
changeset
|
2854 |
(corec_disc_iffN, corec_disc_iff_thmss, K corec_disc_iff_attrs), |
6edc3529bb4e
reordered some (co)datatype property names for more consistency
blanchet
parents:
57932
diff
changeset
|
2855 |
(corec_selN, corec_sel_thmss, K corec_sel_attrs), |
58448 | 2856 |
(corec_transferN, corec_transfer_thmss, K []), |
58734 | 2857 |
(map_o_corecN, map_o_corec_thmss, K []), |
57471 | 2858 |
(rel_coinductN, rel_coinduct_thmss, K (rel_coinduct_attrs @ [coinduct_pred_attr ""])), |
57983
6edc3529bb4e
reordered some (co)datatype property names for more consistency
blanchet
parents:
57932
diff
changeset
|
2859 |
(simpsN, simp_thmss, K [])] |
58346 | 2860 |
|> massage_multi_notes fp_b_names fpTs; |
49212 | 2861 |
in |
51824 | 2862 |
lthy |
55867 | 2863 |
|> fold (curry (Spec_Rules.add Spec_Rules.Equational) corecs) |
57983
6edc3529bb4e
reordered some (co)datatype property names for more consistency
blanchet
parents:
57932
diff
changeset
|
2864 |
[flat corec_sel_thmss, flat corec_thmss] |
57631
959caab43a3d
use the noted theorem whenever possible, also in 'BNF_Def'
blanchet
parents:
57568
diff
changeset
|
2865 |
|> Local_Theory.notes (common_notes @ notes) |
58189
9d714be4f028
added 'plugins' option to control which hooks are enabled
blanchet
parents:
58188
diff
changeset
|
2866 |
|-> interpret_bnfs_register_fp_sugars plugins fpTs fpBTs Xs Greatest_FP pre_bnfs absT_infos |
62321
1abe81758619
keep 'ctor_iff_dtor' theorem around in BNF FP database
blanchet
parents:
62320
diff
changeset
|
2867 |
fp_nesting_bnfs live_nesting_bnfs fp_res ctrXs_Tsss ctor_iff_dtors ctr_defss ctr_sugars |
1abe81758619
keep 'ctor_iff_dtor' theorem around in BNF FP database
blanchet
parents:
62320
diff
changeset
|
2868 |
corecs corec_defs map_thmss [coinduct_thm, coinduct_strong_thm] |
58177
166131276380
introduced local interpretation mechanism for BNFs, to solve issues with datatypes in locales
blanchet
parents:
58175
diff
changeset
|
2869 |
(transpose [coinduct_thms, coinduct_strong_thms]) corec_thmss corec_disc_thmss |
58672
3f0d612ebd8e
preserve the structure of 'map_sel' theorem in ML
desharna
parents:
58671
diff
changeset
|
2870 |
corec_sel_thmsss rel_injectss rel_distinctss map_disc_iffss map_selsss rel_selss |
62335 | 2871 |
rel_intross rel_casess pred_injectss set_thmss set_selsssss set_introsssss set_casess |
63859
dca6fabd8060
make (co)induct component of 'fp_sugar' optional, for the benefit of nonuniform (co)datatypes and other similar extensions
blanchet
parents:
63853
diff
changeset
|
2872 |
ctr_transferss case_transferss disc_transferss sel_transferss corec_disc_iff_thmss |
62335 | 2873 |
(map single corec_code_thms) corec_transfer_thmss common_rel_coinduct_thms |
2874 |
rel_coinduct_thmss set_induct_thms (replicate nn (if nn = 1 then set_induct_thms else [])) |
|
63859
dca6fabd8060
make (co)induct component of 'fp_sugar' optional, for the benefit of nonuniform (co)datatypes and other similar extensions
blanchet
parents:
63853
diff
changeset
|
2875 |
map_o_corec_thmss |
49212 | 2876 |
end; |
2877 |
||
63817 | 2878 |
val lthy = lthy |
58177
166131276380
introduced local interpretation mechanism for BNFs, to solve issues with datatypes in locales
blanchet
parents:
58175
diff
changeset
|
2879 |
|> live > 0 ? fold2 (fn Type (s, _) => fn bnf => register_bnf_raw s bnf) fpTs fp_bnfs |
63814 | 2880 |
|> @{fold_map 29} define_ctrs_dtrs_for_type_etc fp_bnfs fp_bs fpTs Cs Es ctors dtors |
61364 | 2881 |
xtor_co_recs ctor_dtors dtor_ctors ctor_injects pre_map_defs pre_set_defss pre_rel_defs |
2882 |
xtor_maps xtor_setss xtor_rels ns kss mss abss abs_injects type_definitions ctr_bindingss |
|
2883 |
ctr_mixfixess ctr_Tsss disc_bindingss sel_bindingsss raw_sel_default_eqss |
|
62335 | 2884 |
|> wrap_ctrs_derive_map_set_rel_pred_thms_define_co_rec_for_types |
55966 | 2885 |
|> case_fp fp derive_note_induct_recs_thms_for_types |
62383 | 2886 |
derive_note_coinduct_corecs_thms_for_types; |
49167 | 2887 |
|
2888 |
val timer = time (timer ("Constructors, discriminators, selectors, etc., for the new " ^ |
|
52899 | 2889 |
co_prefix fp ^ "datatype")); |
49112 | 2890 |
in |
63817 | 2891 |
lthy |
49112 | 2892 |
end; |
2893 |
||
63826
9321b3d50abd
made it easier to catch 'empty datatype' exception
blanchet
parents:
63825
diff
changeset
|
2894 |
fun co_datatypes fp = define_co_datatypes (K I) (K I) (K I) (K I) fp; |
9321b3d50abd
made it easier to catch 'empty datatype' exception
blanchet
parents:
63825
diff
changeset
|
2895 |
|
9321b3d50abd
made it easier to catch 'empty datatype' exception
blanchet
parents:
63825
diff
changeset
|
2896 |
fun co_datatype_cmd fp construct_fp options lthy = |
63786 | 2897 |
define_co_datatypes Plugin_Name.make_filter Typedecl.read_constraint Syntax.parse_typ |
63826
9321b3d50abd
made it easier to catch 'empty datatype' exception
blanchet
parents:
63825
diff
changeset
|
2898 |
Syntax.parse_term fp construct_fp options lthy |
9321b3d50abd
made it easier to catch 'empty datatype' exception
blanchet
parents:
63825
diff
changeset
|
2899 |
handle EMPTY_DATATYPE s => error ("Cannot define empty datatype " ^ quote s); |
49119 | 2900 |
|
55469
b19dd108f0c2
aligned the syntax for 'free_constructors' on the 'datatype_new' and 'codatatype' syntax
blanchet
parents:
55468
diff
changeset
|
2901 |
val parse_ctr_arg = |
57205 | 2902 |
@{keyword "("} |-- parse_binding_colon -- Parse.typ --| @{keyword ")"} |
2903 |
|| Parse.typ >> pair Binding.empty; |
|
55469
b19dd108f0c2
aligned the syntax for 'free_constructors' on the 'datatype_new' and 'codatatype' syntax
blanchet
parents:
55468
diff
changeset
|
2904 |
|
b19dd108f0c2
aligned the syntax for 'free_constructors' on the 'datatype_new' and 'codatatype' syntax
blanchet
parents:
55468
diff
changeset
|
2905 |
val parse_ctr_specs = |
57091 | 2906 |
Parse.enum1 "|" (parse_ctr_spec Parse.binding parse_ctr_arg -- Parse.opt_mixfix); |
51767
bbcdd8519253
honor user-specified name for relator + generalize syntax
blanchet
parents:
51766
diff
changeset
|
2907 |
|
bbcdd8519253
honor user-specified name for relator + generalize syntax
blanchet
parents:
51766
diff
changeset
|
2908 |
val parse_spec = |
57206
d9be905d6283
changed syntax of map: and rel: arguments to BNF-based datatypes
blanchet
parents:
57205
diff
changeset
|
2909 |
parse_type_args_named_constrained -- Parse.binding -- Parse.opt_mixfix -- |
62324 | 2910 |
(@{keyword "="} |-- parse_ctr_specs) -- parse_map_rel_pred_bindings -- parse_sel_default_eqs; |
51767
bbcdd8519253
honor user-specified name for relator + generalize syntax
blanchet
parents:
51766
diff
changeset
|
2911 |
|
55469
b19dd108f0c2
aligned the syntax for 'free_constructors' on the 'datatype_new' and 'codatatype' syntax
blanchet
parents:
55468
diff
changeset
|
2912 |
val parse_co_datatype = parse_ctr_options -- Parse.and_list1 parse_spec; |
49278 | 2913 |
|
63786 | 2914 |
fun parse_co_datatype_cmd fp construct_fp = |
2915 |
parse_co_datatype >> co_datatype_cmd fp construct_fp; |
|
49112 | 2916 |
|
2917 |
end; |