src/HOL/Tools/Nitpick/nitpick_hol.ML
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(*  Title:      HOL/Tools/Nitpick/nitpick_hol.ML
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    Author:     Jasmin Blanchette, TU Muenchen
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    Copyright   2008, 2009, 2010
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Auxiliary HOL-related functions used by Nitpick.
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*)
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signature NITPICK_HOL =
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sig
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  type styp = Nitpick_Util.styp
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  type const_table = term list Symtab.table
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  type special_fun = (styp * int list * term list) * styp
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  type unrolled = styp * styp
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  type wf_cache = (styp * (bool * bool)) list
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  type hol_context =
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    {thy: theory,
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     ctxt: Proof.context,
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     max_bisim_depth: int,
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     boxes: (typ option * bool option) list,
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     stds: (typ option * bool) list,
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     wfs: (styp option * bool option) list,
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     user_axioms: bool option,
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     debug: bool,
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     binary_ints: bool option,
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     destroy_constrs: bool,
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     specialize: bool,
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     star_linear_preds: bool,
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     fast_descrs: bool,
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     tac_timeout: Time.time option,
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     evals: term list,
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     case_names: (string * int) list,
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     def_table: const_table,
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     nondef_table: const_table,
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     user_nondefs: term list,
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     simp_table: const_table Unsynchronized.ref,
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     psimp_table: const_table,
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     choice_spec_table: const_table,
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     intro_table: const_table,
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     ground_thm_table: term list Inttab.table,
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     ersatz_table: (string * string) list,
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     skolems: (string * string list) list Unsynchronized.ref,
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     special_funs: special_fun list Unsynchronized.ref,
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     unrolled_preds: unrolled list Unsynchronized.ref,
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     wf_cache: wf_cache Unsynchronized.ref,
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     constr_cache: (typ * styp list) list Unsynchronized.ref}
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  datatype fixpoint_kind = Lfp | Gfp | NoFp
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  datatype boxability =
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    InConstr | InSel | InExpr | InPair | InFunLHS | InFunRHS1 | InFunRHS2
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  val name_sep : string
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  val numeral_prefix : string
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  val base_prefix : string
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  val step_prefix : string
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  val unrolled_prefix : string
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  val ubfp_prefix : string
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  val lbfp_prefix : string
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  val quot_normal_prefix : string
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  val skolem_prefix : string
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  val special_prefix : string
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  val uncurry_prefix : string
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  val eval_prefix : string
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  val iter_var_prefix : string
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  val strip_first_name_sep : string -> string * string
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  val original_name : string -> string
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  val s_conj : term * term -> term
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  val s_disj : term * term -> term
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  val strip_any_connective : term -> term list * term
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  val conjuncts_of : term -> term list
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  val disjuncts_of : term -> term list
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  val unarize_unbox_etc_type : typ -> typ
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  val uniterize_unarize_unbox_etc_type : typ -> typ
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  val string_for_type : Proof.context -> typ -> string
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  val prefix_name : string -> string -> string
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  val shortest_name : string -> string
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  val short_name : string -> string
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  val shorten_names_in_term : term -> term
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  val strict_type_match : theory -> typ * typ -> bool
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  val type_match : theory -> typ * typ -> bool
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  val const_match : theory -> styp * styp -> bool
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  val term_match : theory -> term * term -> bool
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  val frac_from_term_pair : typ -> term -> term -> term
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  val is_TFree : typ -> bool
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  val is_higher_order_type : typ -> bool
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  val is_fun_type : typ -> bool
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  val is_set_type : typ -> bool
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  val is_pair_type : typ -> bool
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  val is_lfp_iterator_type : typ -> bool
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  val is_gfp_iterator_type : typ -> bool
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  val is_fp_iterator_type : typ -> bool
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  val is_iterator_type : typ -> bool
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  val is_boolean_type : typ -> bool
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  val is_integer_type : typ -> bool
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  val is_bit_type : typ -> bool
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  val is_word_type : typ -> bool
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  val is_integer_like_type : typ -> bool
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  val is_record_type : typ -> bool
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  val is_number_type : theory -> typ -> bool
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  val const_for_iterator_type : typ -> styp
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  val strip_n_binders : int -> typ -> typ list * typ
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  val nth_range_type : int -> typ -> typ
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  val num_factors_in_type : typ -> int
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  val num_binder_types : typ -> int
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  val curried_binder_types : typ -> typ list
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  val mk_flat_tuple : typ -> term list -> term
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  val dest_n_tuple : int -> term -> term list
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  val is_real_datatype : theory -> string -> bool
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  val is_standard_datatype : theory -> (typ option * bool) list -> typ -> bool
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  val is_quot_type : theory -> typ -> bool
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  val is_codatatype : theory -> typ -> bool
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  val is_pure_typedef : Proof.context -> typ -> bool
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  val is_univ_typedef : Proof.context -> typ -> bool
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  val is_datatype : Proof.context -> (typ option * bool) list -> typ -> bool
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  val is_record_constr : styp -> bool
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  val is_record_get : theory -> styp -> bool
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  val is_record_update : theory -> styp -> bool
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  val is_abs_fun : Proof.context -> styp -> bool
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  val is_rep_fun : Proof.context -> styp -> bool
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  val is_quot_abs_fun : Proof.context -> styp -> bool
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  val is_quot_rep_fun : Proof.context -> styp -> bool
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  val mate_of_rep_fun : Proof.context -> styp -> styp
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  val is_constr_like : Proof.context -> styp -> bool
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  val is_constr : Proof.context -> (typ option * bool) list -> styp -> bool
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  val is_sel : string -> bool
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  val is_sel_like_and_no_discr : string -> bool
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  val box_type : hol_context -> boxability -> typ -> typ
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  val binarize_nat_and_int_in_type : typ -> typ
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  val binarize_nat_and_int_in_term : term -> term
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  val discr_for_constr : styp -> styp
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  val num_sels_for_constr_type : typ -> int
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  val nth_sel_name_for_constr_name : string -> int -> string
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  val nth_sel_for_constr : styp -> int -> styp
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  val binarized_and_boxed_nth_sel_for_constr :
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    hol_context -> bool -> styp -> int -> styp
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  val sel_no_from_name : string -> int
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  val close_form : term -> term
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  val eta_expand : typ list -> term -> int -> term
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  val extensionalize : term -> term
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  val distinctness_formula : typ -> term list -> term
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  val register_frac_type : string -> (string * string) list -> theory -> theory
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  val unregister_frac_type : string -> theory -> theory
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  val register_codatatype : typ -> string -> styp list -> theory -> theory
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  val unregister_codatatype : typ -> theory -> theory
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  val datatype_constrs : hol_context -> typ -> styp list
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  val binarized_and_boxed_datatype_constrs :
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    hol_context -> bool -> typ -> styp list
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  val num_datatype_constrs : hol_context -> typ -> int
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  val constr_name_for_sel_like : string -> string
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  val binarized_and_boxed_constr_for_sel : hol_context -> bool -> styp -> styp
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  val discriminate_value : hol_context -> styp -> term -> term
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  val select_nth_constr_arg :
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    Proof.context -> (typ option * bool) list -> styp -> term -> int -> typ
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    -> term
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  val construct_value :
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    Proof.context -> (typ option * bool) list -> styp -> term list -> term
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  val coerce_term : hol_context -> typ list -> typ -> typ -> term -> term
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  val card_of_type : (typ * int) list -> typ -> int
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  val bounded_card_of_type : int -> int -> (typ * int) list -> typ -> int
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  val bounded_exact_card_of_type :
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    hol_context -> typ list -> int -> int -> (typ * int) list -> typ -> int
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  val is_finite_type : hol_context -> typ -> bool
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  val is_small_finite_type : hol_context -> typ -> bool
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  val special_bounds : term list -> (indexname * typ) list
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  val abs_var : indexname * typ -> term -> term
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  val is_funky_typedef : theory -> typ -> bool
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  val all_axioms_of :
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    Proof.context -> (term * term) list -> term list * term list * term list
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  val arity_of_built_in_const :
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    theory -> (typ option * bool) list -> bool -> styp -> int option
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  val is_built_in_const :
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    theory -> (typ option * bool) list -> bool -> styp -> bool
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  val term_under_def : term -> term
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  val case_const_names :
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    theory -> (typ option * bool) list -> (string * int) list
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  val unfold_defs_in_term : hol_context -> term -> term
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  val const_def_table :
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    Proof.context -> (term * term) list -> term list -> const_table
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  val const_nondef_table : term list -> const_table
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  val const_simp_table : Proof.context -> (term * term) list -> const_table
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  val const_psimp_table : Proof.context -> (term * term) list -> const_table
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  val const_choice_spec_table :
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    Proof.context -> (term * term) list -> const_table
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  val inductive_intro_table :
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    Proof.context -> (term * term) list -> const_table -> const_table
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  val ground_theorem_table : theory -> term list Inttab.table
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  val ersatz_table : theory -> (string * string) list
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  val add_simps : const_table Unsynchronized.ref -> string -> term list -> unit
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  val inverse_axioms_for_rep_fun : Proof.context -> styp -> term list
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  val optimized_typedef_axioms : Proof.context -> string * typ list -> term list
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  val optimized_quot_type_axioms :
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    Proof.context -> (typ option * bool) list -> string * typ list -> term list
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  val def_of_const : theory -> const_table -> styp -> term option
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  val fixpoint_kind_of_rhs : term -> fixpoint_kind
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  val fixpoint_kind_of_const :
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    theory -> const_table -> string * typ -> fixpoint_kind
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  val is_inductive_pred : hol_context -> styp -> bool
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  val is_equational_fun : hol_context -> styp -> bool
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  val is_constr_pattern_lhs : Proof.context -> term -> bool
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  val is_constr_pattern_formula : Proof.context -> term -> bool
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  val nondef_props_for_const :
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    theory -> bool -> const_table -> styp -> term list
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  val is_choice_spec_fun : hol_context -> styp -> bool
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  val is_choice_spec_axiom : theory -> const_table -> term -> bool
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  val codatatype_bisim_axioms : hol_context -> typ -> term list
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  val is_well_founded_inductive_pred : hol_context -> styp -> bool
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  val unrolled_inductive_pred_const : hol_context -> bool -> styp -> term
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  val equational_fun_axioms : hol_context -> styp -> term list
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  val is_equational_fun_surely_complete : hol_context -> styp -> bool
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  val merge_type_vars_in_terms : term list -> term list
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  val ground_types_in_type : hol_context -> bool -> typ -> typ list
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  val ground_types_in_terms : hol_context -> bool -> term list -> typ list
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end;
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structure Nitpick_HOL : NITPICK_HOL =
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struct
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open Nitpick_Util
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type const_table = term list Symtab.table
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type special_fun = (styp * int list * term list) * styp
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type unrolled = styp * styp
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type wf_cache = (styp * (bool * bool)) list
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type hol_context =
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  {thy: theory,
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   ctxt: Proof.context,
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   max_bisim_depth: int,
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   boxes: (typ option * bool option) list,
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   stds: (typ option * bool) list,
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   wfs: (styp option * bool option) list,
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   user_axioms: bool option,
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   debug: bool,
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   binary_ints: bool option,
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   destroy_constrs: bool,
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   specialize: bool,
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   star_linear_preds: bool,
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   fast_descrs: bool,
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   tac_timeout: Time.time option,
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   evals: term list,
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   case_names: (string * int) list,
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   def_table: const_table,
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   nondef_table: const_table,
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   user_nondefs: term list,
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   simp_table: const_table Unsynchronized.ref,
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   psimp_table: const_table,
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   choice_spec_table: const_table,
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   intro_table: const_table,
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   ground_thm_table: term list Inttab.table,
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   ersatz_table: (string * string) list,
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   skolems: (string * string list) list Unsynchronized.ref,
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   special_funs: special_fun list Unsynchronized.ref,
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   unrolled_preds: unrolled list Unsynchronized.ref,
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   wf_cache: wf_cache Unsynchronized.ref,
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   constr_cache: (typ * styp list) list Unsynchronized.ref}
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datatype fixpoint_kind = Lfp | Gfp | NoFp
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datatype boxability =
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  InConstr | InSel | InExpr | InPair | InFunLHS | InFunRHS1 | InFunRHS2
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structure Data = Theory_Data(
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  type T = {frac_types: (string * (string * string) list) list,
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            codatatypes: (string * (string * styp list)) list}
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  val empty = {frac_types = [], codatatypes = []}
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  val extend = I
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  fun merge ({frac_types = fs1, codatatypes = cs1},
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             {frac_types = fs2, codatatypes = cs2}) : T =
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    {frac_types = AList.merge (op =) (K true) (fs1, fs2),
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     codatatypes = AList.merge (op =) (K true) (cs1, cs2)})
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val name_sep = "$"
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val numeral_prefix = nitpick_prefix ^ "num" ^ name_sep
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val sel_prefix = nitpick_prefix ^ "sel"
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val discr_prefix = nitpick_prefix ^ "is" ^ name_sep
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val set_prefix = nitpick_prefix ^ "set" ^ name_sep
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val lfp_iterator_prefix = nitpick_prefix ^ "lfpit" ^ name_sep
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val gfp_iterator_prefix = nitpick_prefix ^ "gfpit" ^ name_sep
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val unrolled_prefix = nitpick_prefix ^ "unroll" ^ name_sep
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val base_prefix = nitpick_prefix ^ "base" ^ name_sep
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val step_prefix = nitpick_prefix ^ "step" ^ name_sep
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val ubfp_prefix = nitpick_prefix ^ "ubfp" ^ name_sep
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val lbfp_prefix = nitpick_prefix ^ "lbfp" ^ name_sep
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val quot_normal_prefix = nitpick_prefix ^ "qn" ^ name_sep
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val skolem_prefix = nitpick_prefix ^ "sk"
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val special_prefix = nitpick_prefix ^ "sp"
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val uncurry_prefix = nitpick_prefix ^ "unc"
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val eval_prefix = nitpick_prefix ^ "eval"
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val iter_var_prefix = "i"
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(** Constant/type information and term/type manipulation **)
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fun sel_prefix_for j = sel_prefix ^ string_of_int j ^ name_sep
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fun quot_normal_name_for_type ctxt T =
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  quot_normal_prefix ^ unyxml (Syntax.string_of_typ ctxt T)
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val strip_first_name_sep =
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  Substring.full #> Substring.position name_sep ##> Substring.triml 1
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  #> pairself Substring.string
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fun original_name s =
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  if String.isPrefix nitpick_prefix s then
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    case strip_first_name_sep s of (s1, "") => s1 | (_, s2) => original_name s2
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  else
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    s
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fun s_betapply (Const (@{const_name If}, _) $ @{const True} $ t, _) = t
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  | s_betapply (Const (@{const_name If}, _) $ @{const False} $ _, t) = t
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  | s_betapply p = betapply p
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val s_betapplys = Library.foldl s_betapply
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fun s_conj (t1, @{const True}) = t1
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  | s_conj (@{const True}, t2) = t2
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  | s_conj (t1, t2) =
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    if t1 = @{const False} orelse t2 = @{const False} then @{const False}
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    else HOLogic.mk_conj (t1, t2)
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fun s_disj (t1, @{const False}) = t1
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  | s_disj (@{const False}, t2) = t2
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  | s_disj (t1, t2) =
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    if t1 = @{const True} orelse t2 = @{const True} then @{const True}
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    else HOLogic.mk_disj (t1, t2)
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fun strip_connective conn_t (t as (t0 $ t1 $ t2)) =
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    if t0 = conn_t then strip_connective t0 t2 @ strip_connective t0 t1 else [t]
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  | strip_connective _ t = [t]
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fun strip_any_connective (t as (t0 $ _ $ _)) =
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    if t0 = @{const "op &"} orelse t0 = @{const "op |"} then
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      (strip_connective t0 t, t0)
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    else
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      ([t], @{const Not})
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  | strip_any_connective t = ([t], @{const Not})
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val conjuncts_of = strip_connective @{const "op &"}
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val disjuncts_of = strip_connective @{const "op |"}
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(* When you add constants to these lists, make sure to handle them in
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   "Nitpick_Nut.nut_from_term", and perhaps in "Nitpick_Mono.consider_term" as
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   well. *)
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val built_in_consts =
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  [(@{const_name all}, 1),
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   (@{const_name "=="}, 2),
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   (@{const_name "==>"}, 2),
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   (@{const_name Pure.conjunction}, 2),
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   (@{const_name Trueprop}, 1),
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   (@{const_name Not}, 1),
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   (@{const_name False}, 0),
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   (@{const_name True}, 0),
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   (@{const_name All}, 1),
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   (@{const_name Ex}, 1),
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   (@{const_name "op ="}, 2),
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   (@{const_name "op &"}, 2),
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   (@{const_name "op |"}, 2),
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   (@{const_name "op -->"}, 2),
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   (@{const_name If}, 3),
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   (@{const_name Let}, 2),
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   (@{const_name Unity}, 0),
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   (@{const_name Pair}, 2),
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   (@{const_name fst}, 1),
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   (@{const_name snd}, 1),
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   (@{const_name Id}, 0),
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   (@{const_name insert}, 2),
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   (@{const_name converse}, 1),
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   (@{const_name trancl}, 1),
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   (@{const_name rel_comp}, 2),
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   (@{const_name image}, 2),
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   (@{const_name finite}, 1),
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   (@{const_name unknown}, 0),
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   (@{const_name is_unknown}, 1),
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   (@{const_name safe_The}, 1),
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   (@{const_name safe_Eps}, 1),
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   (@{const_name Frac}, 0),
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   (@{const_name norm_frac}, 0)]
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val built_in_nat_consts =
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  [(@{const_name Suc}, 0),
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   (@{const_name nat}, 0),
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   (@{const_name nat_gcd}, 0),
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   (@{const_name nat_lcm}, 0)]
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val built_in_descr_consts =
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  [(@{const_name The}, 1),
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   (@{const_name Eps}, 1)]
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val built_in_typed_consts =
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  [((@{const_name zero_class.zero}, int_T), 0),
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   ((@{const_name one_class.one}, int_T), 0),
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   ((@{const_name plus_class.plus}, int_T --> int_T --> int_T), 0),
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   ((@{const_name minus_class.minus}, int_T --> int_T --> int_T), 0),
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   ((@{const_name times_class.times}, int_T --> int_T --> int_T), 0),
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   ((@{const_name div_class.div}, int_T --> int_T --> int_T), 0),
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   ((@{const_name uminus_class.uminus}, int_T --> int_T), 0),
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   ((@{const_name ord_class.less}, int_T --> int_T --> bool_T), 2),
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   ((@{const_name ord_class.less_eq}, int_T --> int_T --> bool_T), 2)]
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val built_in_typed_nat_consts =
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  [((@{const_name zero_class.zero}, nat_T), 0),
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   390
   ((@{const_name one_class.one}, nat_T), 0),
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   391
   ((@{const_name plus_class.plus}, nat_T --> nat_T --> nat_T), 0),
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   ((@{const_name minus_class.minus}, nat_T --> nat_T --> nat_T), 0),
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   393
   ((@{const_name times_class.times}, nat_T --> nat_T --> nat_T), 0),
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   394
   ((@{const_name div_class.div}, nat_T --> nat_T --> nat_T), 0),
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   395
   ((@{const_name ord_class.less}, nat_T --> nat_T --> bool_T), 2),
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diff changeset
   396
   ((@{const_name ord_class.less_eq}, nat_T --> nat_T --> bool_T), 2),
2bcdae5f4fdb added support for nonstandard "nat"s to Nitpick and fixed bugs in binary "nat"s and "int"s
blanchet
parents: 35190
diff changeset
   397
   ((@{const_name of_nat}, nat_T --> int_T), 0)]
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   398
val built_in_set_consts =
35220
2bcdae5f4fdb added support for nonstandard "nat"s to Nitpick and fixed bugs in binary "nat"s and "int"s
blanchet
parents: 35190
diff changeset
   399
  [(@{const_name semilattice_inf_class.inf}, 2),
2bcdae5f4fdb added support for nonstandard "nat"s to Nitpick and fixed bugs in binary "nat"s and "int"s
blanchet
parents: 35190
diff changeset
   400
   (@{const_name semilattice_sup_class.sup}, 2),
2bcdae5f4fdb added support for nonstandard "nat"s to Nitpick and fixed bugs in binary "nat"s and "int"s
blanchet
parents: 35190
diff changeset
   401
   (@{const_name minus_class.minus}, 2),
2bcdae5f4fdb added support for nonstandard "nat"s to Nitpick and fixed bugs in binary "nat"s and "int"s
blanchet
parents: 35190
diff changeset
   402
   (@{const_name ord_class.less_eq}, 2)]
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   403
35190
ce653cc27a94 make sure that Nitpick uses binary notation consistently if "binary_ints" is enabled
blanchet
parents: 35181
diff changeset
   404
fun unarize_type @{typ "unsigned_bit word"} = nat_T
ce653cc27a94 make sure that Nitpick uses binary notation consistently if "binary_ints" is enabled
blanchet
parents: 35181
diff changeset
   405
  | unarize_type @{typ "signed_bit word"} = int_T
ce653cc27a94 make sure that Nitpick uses binary notation consistently if "binary_ints" is enabled
blanchet
parents: 35181
diff changeset
   406
  | unarize_type (Type (s, Ts as _ :: _)) = Type (s, map unarize_type Ts)
ce653cc27a94 make sure that Nitpick uses binary notation consistently if "binary_ints" is enabled
blanchet
parents: 35181
diff changeset
   407
  | unarize_type T = T
35665
ff2bf50505ab added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents: 35625
diff changeset
   408
fun unarize_unbox_etc_type (Type (@{type_name fin_fun}, Ts)) =
ff2bf50505ab added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents: 35625
diff changeset
   409
    unarize_unbox_etc_type (Type (@{type_name fun}, Ts))
ff2bf50505ab added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents: 35625
diff changeset
   410
  | unarize_unbox_etc_type (Type (@{type_name fun_box}, Ts)) =
ff2bf50505ab added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents: 35625
diff changeset
   411
    unarize_unbox_etc_type (Type (@{type_name fun}, Ts))
ff2bf50505ab added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents: 35625
diff changeset
   412
  | unarize_unbox_etc_type (Type (@{type_name pair_box}, Ts)) =
ff2bf50505ab added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents: 35625
diff changeset
   413
    Type (@{type_name "*"}, map unarize_unbox_etc_type Ts)
ff2bf50505ab added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents: 35625
diff changeset
   414
  | unarize_unbox_etc_type @{typ "unsigned_bit word"} = nat_T
ff2bf50505ab added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents: 35625
diff changeset
   415
  | unarize_unbox_etc_type @{typ "signed_bit word"} = int_T
ff2bf50505ab added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents: 35625
diff changeset
   416
  | unarize_unbox_etc_type (Type (s, Ts as _ :: _)) =
ff2bf50505ab added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents: 35625
diff changeset
   417
    Type (s, map unarize_unbox_etc_type Ts)
ff2bf50505ab added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents: 35625
diff changeset
   418
  | unarize_unbox_etc_type T = T
35280
54ab4921f826 fixed a few bugs in Nitpick and removed unreferenced variables
blanchet
parents: 35220
diff changeset
   419
fun uniterize_type (Type (s, Ts as _ :: _)) = Type (s, map uniterize_type Ts)
54ab4921f826 fixed a few bugs in Nitpick and removed unreferenced variables
blanchet
parents: 35220
diff changeset
   420
  | uniterize_type @{typ bisim_iterator} = nat_T
54ab4921f826 fixed a few bugs in Nitpick and removed unreferenced variables
blanchet
parents: 35220
diff changeset
   421
  | uniterize_type T = T
35665
ff2bf50505ab added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents: 35625
diff changeset
   422
val uniterize_unarize_unbox_etc_type = uniterize_type o unarize_unbox_etc_type
35280
54ab4921f826 fixed a few bugs in Nitpick and removed unreferenced variables
blanchet
parents: 35220
diff changeset
   423
35665
ff2bf50505ab added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents: 35625
diff changeset
   424
fun string_for_type ctxt = Syntax.string_of_typ ctxt o unarize_unbox_etc_type
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   425
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   426
val prefix_name = Long_Name.qualify o Long_Name.base_name
34121
5e831d805118 get rid of polymorphic equality in Nitpick's code + a few minor cleanups
blanchet
parents: 33978
diff changeset
   427
fun shortest_name s = List.last (space_explode "." s) handle List.Empty => ""
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   428
val prefix_abs_vars = Term.map_abs_vars o prefix_name
34121
5e831d805118 get rid of polymorphic equality in Nitpick's code + a few minor cleanups
blanchet
parents: 33978
diff changeset
   429
fun short_name s =
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   430
  case space_explode name_sep s of
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   431
    [_] => s |> String.isPrefix nitpick_prefix s ? unprefix nitpick_prefix
34121
5e831d805118 get rid of polymorphic equality in Nitpick's code + a few minor cleanups
blanchet
parents: 33978
diff changeset
   432
  | ss => map shortest_name ss |> space_implode "_"
5e831d805118 get rid of polymorphic equality in Nitpick's code + a few minor cleanups
blanchet
parents: 33978
diff changeset
   433
fun shorten_names_in_type (Type (s, Ts)) =
5e831d805118 get rid of polymorphic equality in Nitpick's code + a few minor cleanups
blanchet
parents: 33978
diff changeset
   434
    Type (short_name s, map shorten_names_in_type Ts)
5e831d805118 get rid of polymorphic equality in Nitpick's code + a few minor cleanups
blanchet
parents: 33978
diff changeset
   435
  | shorten_names_in_type T = T
5e831d805118 get rid of polymorphic equality in Nitpick's code + a few minor cleanups
blanchet
parents: 33978
diff changeset
   436
val shorten_names_in_term =
5e831d805118 get rid of polymorphic equality in Nitpick's code + a few minor cleanups
blanchet
parents: 33978
diff changeset
   437
  map_aterms (fn Const (s, T) => Const (short_name s, T) | t => t)
5e831d805118 get rid of polymorphic equality in Nitpick's code + a few minor cleanups
blanchet
parents: 33978
diff changeset
   438
  #> map_types shorten_names_in_type
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   439
35665
ff2bf50505ab added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents: 35625
diff changeset
   440
fun strict_type_match thy (T1, T2) =
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   441
  (Sign.typ_match thy (T2, T1) Vartab.empty; true)
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   442
  handle Type.TYPE_MATCH => false
35665
ff2bf50505ab added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents: 35625
diff changeset
   443
fun type_match thy = strict_type_match thy o pairself unarize_unbox_etc_type
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   444
fun const_match thy ((s1, T1), (s2, T2)) =
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   445
  s1 = s2 andalso type_match thy (T1, T2)
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   446
fun term_match thy (Const x1, Const x2) = const_match thy (x1, x2)
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   447
  | term_match thy (Free (s1, T1), Free (s2, T2)) =
34121
5e831d805118 get rid of polymorphic equality in Nitpick's code + a few minor cleanups
blanchet
parents: 33978
diff changeset
   448
    const_match thy ((shortest_name s1, T1), (shortest_name s2, T2))
35280
54ab4921f826 fixed a few bugs in Nitpick and removed unreferenced variables
blanchet
parents: 35220
diff changeset
   449
  | term_match _ (t1, t2) = t1 aconv t2
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   450
35711
548d3f16404b added term postprocessor to Nitpick, to provide custom syntax for typedefs
blanchet
parents: 35671
diff changeset
   451
fun frac_from_term_pair T t1 t2 =
548d3f16404b added term postprocessor to Nitpick, to provide custom syntax for typedefs
blanchet
parents: 35671
diff changeset
   452
  case snd (HOLogic.dest_number t1) of
548d3f16404b added term postprocessor to Nitpick, to provide custom syntax for typedefs
blanchet
parents: 35671
diff changeset
   453
    0 => HOLogic.mk_number T 0
548d3f16404b added term postprocessor to Nitpick, to provide custom syntax for typedefs
blanchet
parents: 35671
diff changeset
   454
  | n1 => case snd (HOLogic.dest_number t2) of
548d3f16404b added term postprocessor to Nitpick, to provide custom syntax for typedefs
blanchet
parents: 35671
diff changeset
   455
            1 => HOLogic.mk_number T n1
548d3f16404b added term postprocessor to Nitpick, to provide custom syntax for typedefs
blanchet
parents: 35671
diff changeset
   456
          | n2 => Const (@{const_name divide}, T --> T --> T)
548d3f16404b added term postprocessor to Nitpick, to provide custom syntax for typedefs
blanchet
parents: 35671
diff changeset
   457
                  $ HOLogic.mk_number T n1 $ HOLogic.mk_number T n2
548d3f16404b added term postprocessor to Nitpick, to provide custom syntax for typedefs
blanchet
parents: 35671
diff changeset
   458
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   459
fun is_TFree (TFree _) = true
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   460
  | is_TFree _ = false
35665
ff2bf50505ab added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents: 35625
diff changeset
   461
fun is_higher_order_type (Type (@{type_name fun}, _)) = true
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   462
  | is_higher_order_type (Type (_, Ts)) = exists is_higher_order_type Ts
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   463
  | is_higher_order_type _ = false
35665
ff2bf50505ab added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents: 35625
diff changeset
   464
fun is_fun_type (Type (@{type_name fun}, _)) = true
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   465
  | is_fun_type _ = false
35665
ff2bf50505ab added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents: 35625
diff changeset
   466
fun is_set_type (Type (@{type_name fun}, [_, @{typ bool}])) = true
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   467
  | is_set_type _ = false
35665
ff2bf50505ab added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents: 35625
diff changeset
   468
fun is_pair_type (Type (@{type_name "*"}, _)) = true
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   469
  | is_pair_type _ = false
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   470
fun is_lfp_iterator_type (Type (s, _)) = String.isPrefix lfp_iterator_prefix s
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   471
  | is_lfp_iterator_type _ = false
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   472
fun is_gfp_iterator_type (Type (s, _)) = String.isPrefix gfp_iterator_prefix s
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   473
  | is_gfp_iterator_type _ = false
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   474
val is_fp_iterator_type = is_lfp_iterator_type orf is_gfp_iterator_type
35280
54ab4921f826 fixed a few bugs in Nitpick and removed unreferenced variables
blanchet
parents: 35220
diff changeset
   475
fun is_iterator_type T =
54ab4921f826 fixed a few bugs in Nitpick and removed unreferenced variables
blanchet
parents: 35220
diff changeset
   476
  (T = @{typ bisim_iterator} orelse is_fp_iterator_type T)
34121
5e831d805118 get rid of polymorphic equality in Nitpick's code + a few minor cleanups
blanchet
parents: 33978
diff changeset
   477
fun is_boolean_type T = (T = prop_T orelse T = bool_T)
35220
2bcdae5f4fdb added support for nonstandard "nat"s to Nitpick and fixed bugs in binary "nat"s and "int"s
blanchet
parents: 35190
diff changeset
   478
fun is_integer_type T = (T = nat_T orelse T = int_T)
34124
c4628a1dcf75 added support for binary nat/int representation to Nitpick
blanchet
parents: 34123
diff changeset
   479
fun is_bit_type T = (T = @{typ unsigned_bit} orelse T = @{typ signed_bit})
c4628a1dcf75 added support for binary nat/int representation to Nitpick
blanchet
parents: 34123
diff changeset
   480
fun is_word_type (Type (@{type_name word}, _)) = true
c4628a1dcf75 added support for binary nat/int representation to Nitpick
blanchet
parents: 34123
diff changeset
   481
  | is_word_type _ = false
35280
54ab4921f826 fixed a few bugs in Nitpick and removed unreferenced variables
blanchet
parents: 35220
diff changeset
   482
val is_integer_like_type = is_iterator_type orf is_integer_type orf is_word_type
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   483
val is_record_type = not o null o Record.dest_recTs
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   484
fun is_frac_type thy (Type (s, [])) =
33583
b5e0909cd5ea merged, and renamed local "TheoryData" to "Data" (following common Isabelle conventions)
blanchet
parents: 33522 33581
diff changeset
   485
    not (null (these (AList.lookup (op =) (#frac_types (Data.get thy)) s)))
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   486
  | is_frac_type _ _ = false
35220
2bcdae5f4fdb added support for nonstandard "nat"s to Nitpick and fixed bugs in binary "nat"s and "int"s
blanchet
parents: 35190
diff changeset
   487
fun is_number_type thy = is_integer_like_type orf is_frac_type thy
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   488
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   489
fun iterator_type_for_const gfp (s, T) =
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   490
  Type ((if gfp then gfp_iterator_prefix else lfp_iterator_prefix) ^ s,
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   491
        binder_types T)
35718
eee1a5e0d334 moved some Nitpick code around
blanchet
parents: 35711
diff changeset
   492
fun const_for_iterator_type (Type (s, Ts)) =
eee1a5e0d334 moved some Nitpick code around
blanchet
parents: 35711
diff changeset
   493
    (strip_first_name_sep s |> snd, Ts ---> bool_T)
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   494
  | const_for_iterator_type T =
33232
f93390060bbe internal renaming in Nitpick and fixed Kodkodi invokation on Linux;
blanchet
parents: 33202
diff changeset
   495
    raise TYPE ("Nitpick_HOL.const_for_iterator_type", [T], [])
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   496
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   497
fun strip_n_binders 0 T = ([], T)
35665
ff2bf50505ab added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents: 35625
diff changeset
   498
  | strip_n_binders n (Type (@{type_name fun}, [T1, T2])) =
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   499
    strip_n_binders (n - 1) T2 |>> cons T1
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   500
  | strip_n_binders n (Type (@{type_name fun_box}, Ts)) =
35665
ff2bf50505ab added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents: 35625
diff changeset
   501
    strip_n_binders n (Type (@{type_name fun}, Ts))
33232
f93390060bbe internal renaming in Nitpick and fixed Kodkodi invokation on Linux;
blanchet
parents: 33202
diff changeset
   502
  | strip_n_binders _ T = raise TYPE ("Nitpick_HOL.strip_n_binders", [T], [])
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   503
val nth_range_type = snd oo strip_n_binders
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   504
35665
ff2bf50505ab added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents: 35625
diff changeset
   505
fun num_factors_in_type (Type (@{type_name "*"}, [T1, T2])) =
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   506
    fold (Integer.add o num_factors_in_type) [T1, T2] 0
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   507
  | num_factors_in_type _ = 1
35665
ff2bf50505ab added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents: 35625
diff changeset
   508
fun num_binder_types (Type (@{type_name fun}, [_, T2])) =
ff2bf50505ab added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents: 35625
diff changeset
   509
    1 + num_binder_types T2
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   510
  | num_binder_types _ = 0
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   511
val curried_binder_types = maps HOLogic.flatten_tupleT o binder_types
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   512
fun maybe_curried_binder_types T =
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   513
  (if is_pair_type (body_type T) then binder_types else curried_binder_types) T
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   514
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   515
fun mk_flat_tuple _ [t] = t
35665
ff2bf50505ab added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents: 35625
diff changeset
   516
  | mk_flat_tuple (Type (@{type_name "*"}, [T1, T2])) (t :: ts) =
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   517
    HOLogic.pair_const T1 T2 $ t $ (mk_flat_tuple T2 ts)
33232
f93390060bbe internal renaming in Nitpick and fixed Kodkodi invokation on Linux;
blanchet
parents: 33202
diff changeset
   518
  | mk_flat_tuple T ts = raise TYPE ("Nitpick_HOL.mk_flat_tuple", [T], ts)
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   519
fun dest_n_tuple 1 t = [t]
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   520
  | dest_n_tuple n t = HOLogic.dest_prod t ||> dest_n_tuple (n - 1) |> op ::
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   521
35220
2bcdae5f4fdb added support for nonstandard "nat"s to Nitpick and fixed bugs in binary "nat"s and "int"s
blanchet
parents: 35190
diff changeset
   522
type typedef_info =
2bcdae5f4fdb added support for nonstandard "nat"s to Nitpick and fixed bugs in binary "nat"s and "int"s
blanchet
parents: 35190
diff changeset
   523
  {rep_type: typ, abs_type: typ, Rep_name: string, Abs_name: string,
2bcdae5f4fdb added support for nonstandard "nat"s to Nitpick and fixed bugs in binary "nat"s and "int"s
blanchet
parents: 35190
diff changeset
   524
   set_def: thm option, prop_of_Rep: thm, set_name: string,
2bcdae5f4fdb added support for nonstandard "nat"s to Nitpick and fixed bugs in binary "nat"s and "int"s
blanchet
parents: 35190
diff changeset
   525
   Abs_inverse: thm option, Rep_inverse: thm option}
2bcdae5f4fdb added support for nonstandard "nat"s to Nitpick and fixed bugs in binary "nat"s and "int"s
blanchet
parents: 35190
diff changeset
   526
37256
0dca1ec52999 thread along context instead of theory for typedef lookup
blanchet
parents: 37253
diff changeset
   527
fun typedef_info ctxt s =
0dca1ec52999 thread along context instead of theory for typedef lookup
blanchet
parents: 37253
diff changeset
   528
  let val thy = ProofContext.theory_of ctxt in
0dca1ec52999 thread along context instead of theory for typedef lookup
blanchet
parents: 37253
diff changeset
   529
    if is_frac_type thy (Type (s, [])) then
0dca1ec52999 thread along context instead of theory for typedef lookup
blanchet
parents: 37253
diff changeset
   530
      SOME {abs_type = Type (s, []), rep_type = @{typ "int * int"},
0dca1ec52999 thread along context instead of theory for typedef lookup
blanchet
parents: 37253
diff changeset
   531
            Abs_name = @{const_name Abs_Frac}, Rep_name = @{const_name Rep_Frac},
0dca1ec52999 thread along context instead of theory for typedef lookup
blanchet
parents: 37253
diff changeset
   532
            set_def = NONE, prop_of_Rep = @{prop "Rep_Frac x \<in> Frac"}
0dca1ec52999 thread along context instead of theory for typedef lookup
blanchet
parents: 37253
diff changeset
   533
                            |> Logic.varify_global,
0dca1ec52999 thread along context instead of theory for typedef lookup
blanchet
parents: 37253
diff changeset
   534
            set_name = @{const_name Frac}, Abs_inverse = NONE, Rep_inverse = NONE}
0dca1ec52999 thread along context instead of theory for typedef lookup
blanchet
parents: 37253
diff changeset
   535
    else case Typedef.get_info ctxt s of
0dca1ec52999 thread along context instead of theory for typedef lookup
blanchet
parents: 37253
diff changeset
   536
      (* ### multiple *)
0dca1ec52999 thread along context instead of theory for typedef lookup
blanchet
parents: 37253
diff changeset
   537
      [({abs_type, rep_type, Abs_name, Rep_name, ...},
0dca1ec52999 thread along context instead of theory for typedef lookup
blanchet
parents: 37253
diff changeset
   538
        {set_def, Rep, Abs_inverse, Rep_inverse, ...})] =>
0dca1ec52999 thread along context instead of theory for typedef lookup
blanchet
parents: 37253
diff changeset
   539
      SOME {abs_type = abs_type, rep_type = rep_type, Abs_name = Abs_name,
0dca1ec52999 thread along context instead of theory for typedef lookup
blanchet
parents: 37253
diff changeset
   540
            Rep_name = Rep_name, set_def = set_def, prop_of_Rep = prop_of Rep,
0dca1ec52999 thread along context instead of theory for typedef lookup
blanchet
parents: 37253
diff changeset
   541
            set_name = set_prefix ^ s, Abs_inverse = SOME Abs_inverse,
0dca1ec52999 thread along context instead of theory for typedef lookup
blanchet
parents: 37253
diff changeset
   542
            Rep_inverse = SOME Rep_inverse}
0dca1ec52999 thread along context instead of theory for typedef lookup
blanchet
parents: 37253
diff changeset
   543
    | _ => NONE
0dca1ec52999 thread along context instead of theory for typedef lookup
blanchet
parents: 37253
diff changeset
   544
  end
35220
2bcdae5f4fdb added support for nonstandard "nat"s to Nitpick and fixed bugs in binary "nat"s and "int"s
blanchet
parents: 35190
diff changeset
   545
2bcdae5f4fdb added support for nonstandard "nat"s to Nitpick and fixed bugs in binary "nat"s and "int"s
blanchet
parents: 35190
diff changeset
   546
val is_typedef = is_some oo typedef_info
2bcdae5f4fdb added support for nonstandard "nat"s to Nitpick and fixed bugs in binary "nat"s and "int"s
blanchet
parents: 35190
diff changeset
   547
val is_real_datatype = is_some oo Datatype.get_info
2bcdae5f4fdb added support for nonstandard "nat"s to Nitpick and fixed bugs in binary "nat"s and "int"s
blanchet
parents: 35190
diff changeset
   548
fun is_standard_datatype thy = the oo triple_lookup (type_match thy)
2bcdae5f4fdb added support for nonstandard "nat"s to Nitpick and fixed bugs in binary "nat"s and "int"s
blanchet
parents: 35190
diff changeset
   549
34121
5e831d805118 get rid of polymorphic equality in Nitpick's code + a few minor cleanups
blanchet
parents: 33978
diff changeset
   550
(* FIXME: Use antiquotation for "code_numeral" below or detect "rep_datatype",
5e831d805118 get rid of polymorphic equality in Nitpick's code + a few minor cleanups
blanchet
parents: 33978
diff changeset
   551
   e.g., by adding a field to "Datatype_Aux.info". *)
35220
2bcdae5f4fdb added support for nonstandard "nat"s to Nitpick and fixed bugs in binary "nat"s and "int"s
blanchet
parents: 35190
diff changeset
   552
fun is_basic_datatype thy stds s =
2bcdae5f4fdb added support for nonstandard "nat"s to Nitpick and fixed bugs in binary "nat"s and "int"s
blanchet
parents: 35190
diff changeset
   553
  member (op =) [@{type_name "*"}, @{type_name bool}, @{type_name unit},
2bcdae5f4fdb added support for nonstandard "nat"s to Nitpick and fixed bugs in binary "nat"s and "int"s
blanchet
parents: 35190
diff changeset
   554
                 @{type_name int}, "Code_Numeral.code_numeral"] s orelse
2bcdae5f4fdb added support for nonstandard "nat"s to Nitpick and fixed bugs in binary "nat"s and "int"s
blanchet
parents: 35190
diff changeset
   555
  (s = @{type_name nat} andalso is_standard_datatype thy stds nat_T)
34121
5e831d805118 get rid of polymorphic equality in Nitpick's code + a few minor cleanups
blanchet
parents: 33978
diff changeset
   556
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   557
fun instantiate_type thy T1 T1' T2 =
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   558
  Same.commit (Envir.subst_type_same
35311
8f9a66fc9f80 improved Nitpick's support for quotient types
blanchet
parents: 35309
diff changeset
   559
                   (Sign.typ_match thy (T1, T1') Vartab.empty)) T2
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   560
  handle Type.TYPE_MATCH =>
33232
f93390060bbe internal renaming in Nitpick and fixed Kodkodi invokation on Linux;
blanchet
parents: 33202
diff changeset
   561
         raise TYPE ("Nitpick_HOL.instantiate_type", [T1, T1'], [])
35311
8f9a66fc9f80 improved Nitpick's support for quotient types
blanchet
parents: 35309
diff changeset
   562
fun varify_and_instantiate_type thy T1 T1' T2 =
35845
e5980f0ad025 renamed varify/unvarify operations to varify_global/unvarify_global to emphasize that these only work in a global situation;
wenzelm
parents: 35807
diff changeset
   563
  instantiate_type thy (Logic.varifyT_global T1) T1' (Logic.varifyT_global T2)
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   564
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   565
fun repair_constr_type thy body_T' T =
35311
8f9a66fc9f80 improved Nitpick's support for quotient types
blanchet
parents: 35309
diff changeset
   566
  varify_and_instantiate_type thy (body_type T) body_T' T
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   567
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   568
fun register_frac_type frac_s ersaetze thy =
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   569
  let
33583
b5e0909cd5ea merged, and renamed local "TheoryData" to "Data" (following common Isabelle conventions)
blanchet
parents: 33522 33581
diff changeset
   570
    val {frac_types, codatatypes} = Data.get thy
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   571
    val frac_types = AList.update (op =) (frac_s, ersaetze) frac_types
33583
b5e0909cd5ea merged, and renamed local "TheoryData" to "Data" (following common Isabelle conventions)
blanchet
parents: 33522 33581
diff changeset
   572
  in Data.put {frac_types = frac_types, codatatypes = codatatypes} thy end
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   573
fun unregister_frac_type frac_s = register_frac_type frac_s []
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   574
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   575
fun register_codatatype co_T case_name constr_xs thy =
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   576
  let
33583
b5e0909cd5ea merged, and renamed local "TheoryData" to "Data" (following common Isabelle conventions)
blanchet
parents: 33522 33581
diff changeset
   577
    val {frac_types, codatatypes} = Data.get thy
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   578
    val constr_xs = map (apsnd (repair_constr_type thy co_T)) constr_xs
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   579
    val (co_s, co_Ts) = dest_Type co_T
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   580
    val _ =
34936
c4f04bee79f3 some work on Nitpick's support for quotient types;
blanchet
parents: 34126
diff changeset
   581
      if forall is_TFree co_Ts andalso not (has_duplicates (op =) co_Ts) andalso
35665
ff2bf50505ab added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents: 35625
diff changeset
   582
         co_s <> @{type_name fun} andalso
35220
2bcdae5f4fdb added support for nonstandard "nat"s to Nitpick and fixed bugs in binary "nat"s and "int"s
blanchet
parents: 35190
diff changeset
   583
         not (is_basic_datatype thy [(NONE, true)] co_s) then
34121
5e831d805118 get rid of polymorphic equality in Nitpick's code + a few minor cleanups
blanchet
parents: 33978
diff changeset
   584
        ()
5e831d805118 get rid of polymorphic equality in Nitpick's code + a few minor cleanups
blanchet
parents: 33978
diff changeset
   585
      else
5e831d805118 get rid of polymorphic equality in Nitpick's code + a few minor cleanups
blanchet
parents: 33978
diff changeset
   586
        raise TYPE ("Nitpick_HOL.register_codatatype", [co_T], [])
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   587
    val codatatypes = AList.update (op =) (co_s, (case_name, constr_xs))
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   588
                                   codatatypes
33583
b5e0909cd5ea merged, and renamed local "TheoryData" to "Data" (following common Isabelle conventions)
blanchet
parents: 33522 33581
diff changeset
   589
  in Data.put {frac_types = frac_types, codatatypes = codatatypes} thy end
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   590
fun unregister_codatatype co_T = register_codatatype co_T "" []
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   591
35284
9edc2bd6d2bd enabled Nitpick's support for quotient types + shortened the Nitpick tests a bit
blanchet
parents: 35283
diff changeset
   592
fun is_quot_type thy (Type (s, _)) =
9edc2bd6d2bd enabled Nitpick's support for quotient types + shortened the Nitpick tests a bit
blanchet
parents: 35283
diff changeset
   593
    is_some (Quotient_Info.quotdata_lookup_raw thy s)
34936
c4f04bee79f3 some work on Nitpick's support for quotient types;
blanchet
parents: 34126
diff changeset
   594
  | is_quot_type _ _ = false
35280
54ab4921f826 fixed a few bugs in Nitpick and removed unreferenced variables
blanchet
parents: 35220
diff changeset
   595
fun is_codatatype thy (Type (s, _)) =
33583
b5e0909cd5ea merged, and renamed local "TheoryData" to "Data" (following common Isabelle conventions)
blanchet
parents: 33522 33581
diff changeset
   596
    not (null (AList.lookup (op =) (#codatatypes (Data.get thy)) s
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   597
               |> Option.map snd |> these))
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   598
  | is_codatatype _ _ = false
37256
0dca1ec52999 thread along context instead of theory for typedef lookup
blanchet
parents: 37253
diff changeset
   599
fun is_pure_typedef ctxt (T as Type (s, _)) =
0dca1ec52999 thread along context instead of theory for typedef lookup
blanchet
parents: 37253
diff changeset
   600
    let val thy = ProofContext.theory_of ctxt in
0dca1ec52999 thread along context instead of theory for typedef lookup
blanchet
parents: 37253
diff changeset
   601
      is_typedef ctxt s andalso
0dca1ec52999 thread along context instead of theory for typedef lookup
blanchet
parents: 37253
diff changeset
   602
      not (is_real_datatype thy s orelse is_quot_type thy T orelse
0dca1ec52999 thread along context instead of theory for typedef lookup
blanchet
parents: 37253
diff changeset
   603
           is_codatatype thy T orelse is_record_type T orelse
0dca1ec52999 thread along context instead of theory for typedef lookup
blanchet
parents: 37253
diff changeset
   604
           is_integer_like_type T)
0dca1ec52999 thread along context instead of theory for typedef lookup
blanchet
parents: 37253
diff changeset
   605
    end
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   606
  | is_pure_typedef _ _ = false
37256
0dca1ec52999 thread along context instead of theory for typedef lookup
blanchet
parents: 37253
diff changeset
   607
fun is_univ_typedef ctxt (Type (s, _)) =
0dca1ec52999 thread along context instead of theory for typedef lookup
blanchet
parents: 37253
diff changeset
   608
    (case typedef_info ctxt s of
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   609
       SOME {set_def, prop_of_Rep, ...} =>
35332
22442ab3e7a3 optimized multisets in Nitpick by fishing "finite"
blanchet
parents: 35311
diff changeset
   610
       let
22442ab3e7a3 optimized multisets in Nitpick by fishing "finite"
blanchet
parents: 35311
diff changeset
   611
         val t_opt =
22442ab3e7a3 optimized multisets in Nitpick by fishing "finite"
blanchet
parents: 35311
diff changeset
   612
           case set_def of
22442ab3e7a3 optimized multisets in Nitpick by fishing "finite"
blanchet
parents: 35311
diff changeset
   613
             SOME thm => try (snd o Logic.dest_equals o prop_of) thm
22442ab3e7a3 optimized multisets in Nitpick by fishing "finite"
blanchet
parents: 35311
diff changeset
   614
           | NONE => try (snd o HOLogic.dest_mem o HOLogic.dest_Trueprop)
22442ab3e7a3 optimized multisets in Nitpick by fishing "finite"
blanchet
parents: 35311
diff changeset
   615
                         prop_of_Rep
22442ab3e7a3 optimized multisets in Nitpick by fishing "finite"
blanchet
parents: 35311
diff changeset
   616
       in
22442ab3e7a3 optimized multisets in Nitpick by fishing "finite"
blanchet
parents: 35311
diff changeset
   617
         case t_opt of
22442ab3e7a3 optimized multisets in Nitpick by fishing "finite"
blanchet
parents: 35311
diff changeset
   618
           SOME (Const (@{const_name top}, _)) => true
35386
45a4e19d3ebd more work on the new monotonicity stuff in Nitpick
blanchet
parents: 35385
diff changeset
   619
           (* "Multiset.multiset" *)
35332
22442ab3e7a3 optimized multisets in Nitpick by fishing "finite"
blanchet
parents: 35311
diff changeset
   620
         | SOME (Const (@{const_name Collect}, _)
22442ab3e7a3 optimized multisets in Nitpick by fishing "finite"
blanchet
parents: 35311
diff changeset
   621
                 $ Abs (_, _, Const (@{const_name finite}, _) $ _)) => true
35386
45a4e19d3ebd more work on the new monotonicity stuff in Nitpick
blanchet
parents: 35385
diff changeset
   622
           (* "FinFun.finfun" *)
45a4e19d3ebd more work on the new monotonicity stuff in Nitpick
blanchet
parents: 35385
diff changeset
   623
         | SOME (Const (@{const_name Collect}, _) $ Abs (_, _,
45a4e19d3ebd more work on the new monotonicity stuff in Nitpick
blanchet
parents: 35385
diff changeset
   624
                     Const (@{const_name Ex}, _) $ Abs (_, _,
45a4e19d3ebd more work on the new monotonicity stuff in Nitpick
blanchet
parents: 35385
diff changeset
   625
                         Const (@{const_name finite}, _) $ _))) => true
35332
22442ab3e7a3 optimized multisets in Nitpick by fishing "finite"
blanchet
parents: 35311
diff changeset
   626
         | _ => false
22442ab3e7a3 optimized multisets in Nitpick by fishing "finite"
blanchet
parents: 35311
diff changeset
   627
       end
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   628
     | NONE => false)
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   629
  | is_univ_typedef _ _ = false
37256
0dca1ec52999 thread along context instead of theory for typedef lookup
blanchet
parents: 37253
diff changeset
   630
fun is_datatype ctxt stds (T as Type (s, _)) =
0dca1ec52999 thread along context instead of theory for typedef lookup
blanchet
parents: 37253
diff changeset
   631
    let val thy = ProofContext.theory_of ctxt in
0dca1ec52999 thread along context instead of theory for typedef lookup
blanchet
parents: 37253
diff changeset
   632
      (is_typedef ctxt s orelse is_codatatype thy T orelse T = @{typ ind} orelse
0dca1ec52999 thread along context instead of theory for typedef lookup
blanchet
parents: 37253
diff changeset
   633
       is_quot_type thy T) andalso not (is_basic_datatype thy stds s)
0dca1ec52999 thread along context instead of theory for typedef lookup
blanchet
parents: 37253
diff changeset
   634
    end
35220
2bcdae5f4fdb added support for nonstandard "nat"s to Nitpick and fixed bugs in binary "nat"s and "int"s
blanchet
parents: 35190
diff changeset
   635
  | is_datatype _ _ _ = false
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   636
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   637
fun all_record_fields thy T =
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   638
  let val (recs, more) = Record.get_extT_fields thy T in
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   639
    recs @ more :: all_record_fields thy (snd more)
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   640
  end
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   641
  handle TYPE _ => []
35280
54ab4921f826 fixed a few bugs in Nitpick and removed unreferenced variables
blanchet
parents: 35220
diff changeset
   642
fun is_record_constr (s, T) =
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   643
  String.isSuffix Record.extN s andalso
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   644
  let val dataT = body_type T in
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   645
    is_record_type dataT andalso
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   646
    s = unsuffix Record.ext_typeN (fst (dest_Type dataT)) ^ Record.extN
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   647
  end
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   648
val num_record_fields = Integer.add 1 o length o fst oo Record.get_extT_fields
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   649
fun no_of_record_field thy s T1 =
34121
5e831d805118 get rid of polymorphic equality in Nitpick's code + a few minor cleanups
blanchet
parents: 33978
diff changeset
   650
  find_index (curry (op =) s o fst)
5e831d805118 get rid of polymorphic equality in Nitpick's code + a few minor cleanups
blanchet
parents: 33978
diff changeset
   651
             (Record.get_extT_fields thy T1 ||> single |> op @)
35665
ff2bf50505ab added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents: 35625
diff changeset
   652
fun is_record_get thy (s, Type (@{type_name fun}, [T1, _])) =
34121
5e831d805118 get rid of polymorphic equality in Nitpick's code + a few minor cleanups
blanchet
parents: 33978
diff changeset
   653
    exists (curry (op =) s o fst) (all_record_fields thy T1)
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   654
  | is_record_get _ _ = false
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   655
fun is_record_update thy (s, T) =
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   656
  String.isSuffix Record.updateN s andalso
34121
5e831d805118 get rid of polymorphic equality in Nitpick's code + a few minor cleanups
blanchet
parents: 33978
diff changeset
   657
  exists (curry (op =) (unsuffix Record.updateN s) o fst)
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   658
         (all_record_fields thy (body_type T))
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   659
  handle TYPE _ => false
37256
0dca1ec52999 thread along context instead of theory for typedef lookup
blanchet
parents: 37253
diff changeset
   660
fun is_abs_fun ctxt (s, Type (@{type_name fun}, [_, Type (s', _)])) =
0dca1ec52999 thread along context instead of theory for typedef lookup
blanchet
parents: 37253
diff changeset
   661
    (case typedef_info ctxt s' of
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   662
       SOME {Abs_name, ...} => s = Abs_name
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   663
     | NONE => false)
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   664
  | is_abs_fun _ _ = false
37256
0dca1ec52999 thread along context instead of theory for typedef lookup
blanchet
parents: 37253
diff changeset
   665
fun is_rep_fun ctxt (s, Type (@{type_name fun}, [Type (s', _), _])) =
0dca1ec52999 thread along context instead of theory for typedef lookup
blanchet
parents: 37253
diff changeset
   666
    (case typedef_info ctxt s' of
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   667
       SOME {Rep_name, ...} => s = Rep_name
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   668
     | NONE => false)
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   669
  | is_rep_fun _ _ = false
35665
ff2bf50505ab added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents: 35625
diff changeset
   670
fun is_quot_abs_fun ctxt
ff2bf50505ab added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents: 35625
diff changeset
   671
                    (x as (_, Type (@{type_name fun}, [_, Type (s', _)]))) =
35284
9edc2bd6d2bd enabled Nitpick's support for quotient types + shortened the Nitpick tests a bit
blanchet
parents: 35283
diff changeset
   672
    (try (Quotient_Term.absrep_const_chk Quotient_Term.AbsF ctxt) s'
9edc2bd6d2bd enabled Nitpick's support for quotient types + shortened the Nitpick tests a bit
blanchet
parents: 35283
diff changeset
   673
     = SOME (Const x))
34936
c4f04bee79f3 some work on Nitpick's support for quotient types;
blanchet
parents: 34126
diff changeset
   674
  | is_quot_abs_fun _ _ = false
35665
ff2bf50505ab added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents: 35625
diff changeset
   675
fun is_quot_rep_fun ctxt
ff2bf50505ab added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents: 35625
diff changeset
   676
                    (x as (_, Type (@{type_name fun}, [Type (s', _), _]))) =
35284
9edc2bd6d2bd enabled Nitpick's support for quotient types + shortened the Nitpick tests a bit
blanchet
parents: 35283
diff changeset
   677
    (try (Quotient_Term.absrep_const_chk Quotient_Term.RepF ctxt) s'
9edc2bd6d2bd enabled Nitpick's support for quotient types + shortened the Nitpick tests a bit
blanchet
parents: 35283
diff changeset
   678
     = SOME (Const x))
34936
c4f04bee79f3 some work on Nitpick's support for quotient types;
blanchet
parents: 34126
diff changeset
   679
  | is_quot_rep_fun _ _ = false
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   680
37256
0dca1ec52999 thread along context instead of theory for typedef lookup
blanchet
parents: 37253
diff changeset
   681
fun mate_of_rep_fun ctxt (x as (_, Type (@{type_name fun},
0dca1ec52999 thread along context instead of theory for typedef lookup
blanchet
parents: 37253
diff changeset
   682
                                         [T1 as Type (s', _), T2]))) =
0dca1ec52999 thread along context instead of theory for typedef lookup
blanchet
parents: 37253
diff changeset
   683
    (case typedef_info ctxt s' of
35665
ff2bf50505ab added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents: 35625
diff changeset
   684
       SOME {Abs_name, ...} => (Abs_name, Type (@{type_name fun}, [T2, T1]))
33232
f93390060bbe internal renaming in Nitpick and fixed Kodkodi invokation on Linux;
blanchet
parents: 33202
diff changeset
   685
     | NONE => raise TERM ("Nitpick_HOL.mate_of_rep_fun", [Const x]))
f93390060bbe internal renaming in Nitpick and fixed Kodkodi invokation on Linux;
blanchet
parents: 33202
diff changeset
   686
  | mate_of_rep_fun _ x = raise TERM ("Nitpick_HOL.mate_of_rep_fun", [Const x])
35284
9edc2bd6d2bd enabled Nitpick's support for quotient types + shortened the Nitpick tests a bit
blanchet
parents: 35283
diff changeset
   687
fun rep_type_for_quot_type thy (T as Type (s, _)) =
9edc2bd6d2bd enabled Nitpick's support for quotient types + shortened the Nitpick tests a bit
blanchet
parents: 35283
diff changeset
   688
  let val {qtyp, rtyp, ...} = Quotient_Info.quotdata_lookup thy s in
9edc2bd6d2bd enabled Nitpick's support for quotient types + shortened the Nitpick tests a bit
blanchet
parents: 35283
diff changeset
   689
    instantiate_type thy qtyp T rtyp
9edc2bd6d2bd enabled Nitpick's support for quotient types + shortened the Nitpick tests a bit
blanchet
parents: 35283
diff changeset
   690
  end
9edc2bd6d2bd enabled Nitpick's support for quotient types + shortened the Nitpick tests a bit
blanchet
parents: 35283
diff changeset
   691
fun equiv_relation_for_quot_type thy (Type (s, Ts)) =
9edc2bd6d2bd enabled Nitpick's support for quotient types + shortened the Nitpick tests a bit
blanchet
parents: 35283
diff changeset
   692
    let
9edc2bd6d2bd enabled Nitpick's support for quotient types + shortened the Nitpick tests a bit
blanchet
parents: 35283
diff changeset
   693
      val {qtyp, equiv_rel, ...} = Quotient_Info.quotdata_lookup thy s
9edc2bd6d2bd enabled Nitpick's support for quotient types + shortened the Nitpick tests a bit
blanchet
parents: 35283
diff changeset
   694
      val Ts' = qtyp |> dest_Type |> snd
9edc2bd6d2bd enabled Nitpick's support for quotient types + shortened the Nitpick tests a bit
blanchet
parents: 35283
diff changeset
   695
    in subst_atomic_types (Ts' ~~ Ts) equiv_rel end
34936
c4f04bee79f3 some work on Nitpick's support for quotient types;
blanchet
parents: 34126
diff changeset
   696
  | equiv_relation_for_quot_type _ T =
c4f04bee79f3 some work on Nitpick's support for quotient types;
blanchet
parents: 34126
diff changeset
   697
    raise TYPE ("Nitpick_HOL.equiv_relation_for_quot_type", [T], [])
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   698
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   699
fun is_coconstr thy (s, T) =
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   700
  let
33583
b5e0909cd5ea merged, and renamed local "TheoryData" to "Data" (following common Isabelle conventions)
blanchet
parents: 33522 33581
diff changeset
   701
    val {codatatypes, ...} = Data.get thy
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   702
    val co_T = body_type T
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   703
    val co_s = dest_Type co_T |> fst
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   704
  in
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   705
    exists (fn (s', T') => s = s' andalso repair_constr_type thy co_T T' = T)
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   706
           (AList.lookup (op =) codatatypes co_s |> Option.map snd |> these)
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   707
  end
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   708
  handle TYPE ("dest_Type", _, _) => false
37256
0dca1ec52999 thread along context instead of theory for typedef lookup
blanchet
parents: 37253
diff changeset
   709
fun is_constr_like ctxt (s, T) =
35665
ff2bf50505ab added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents: 35625
diff changeset
   710
  member (op =) [@{const_name FinFun}, @{const_name FunBox},
ff2bf50505ab added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents: 35625
diff changeset
   711
                 @{const_name PairBox}, @{const_name Quot},
ff2bf50505ab added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents: 35625
diff changeset
   712
                 @{const_name Zero_Rep}, @{const_name Suc_Rep}] s orelse
37256
0dca1ec52999 thread along context instead of theory for typedef lookup
blanchet
parents: 37253
diff changeset
   713
  let
0dca1ec52999 thread along context instead of theory for typedef lookup
blanchet
parents: 37253
diff changeset
   714
    val thy = ProofContext.theory_of ctxt
0dca1ec52999 thread along context instead of theory for typedef lookup
blanchet
parents: 37253
diff changeset
   715
    val (x as (_, T)) = (s, unarize_unbox_etc_type T)
0dca1ec52999 thread along context instead of theory for typedef lookup
blanchet
parents: 37253
diff changeset
   716
  in
34936
c4f04bee79f3 some work on Nitpick's support for quotient types;
blanchet
parents: 34126
diff changeset
   717
    Refute.is_IDT_constructor thy x orelse is_record_constr x orelse
37256
0dca1ec52999 thread along context instead of theory for typedef lookup
blanchet
parents: 37253
diff changeset
   718
    (is_abs_fun ctxt x andalso is_pure_typedef ctxt (range_type T)) orelse
34936
c4f04bee79f3 some work on Nitpick's support for quotient types;
blanchet
parents: 34126
diff changeset
   719
    is_coconstr thy x
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   720
  end
37256
0dca1ec52999 thread along context instead of theory for typedef lookup
blanchet
parents: 37253
diff changeset
   721
fun is_stale_constr ctxt (x as (_, T)) =
0dca1ec52999 thread along context instead of theory for typedef lookup
blanchet
parents: 37253
diff changeset
   722
  let val thy = ProofContext.theory_of ctxt in
0dca1ec52999 thread along context instead of theory for typedef lookup
blanchet
parents: 37253
diff changeset
   723
    is_codatatype thy (body_type T) andalso is_constr_like ctxt x andalso
0dca1ec52999 thread along context instead of theory for typedef lookup
blanchet
parents: 37253
diff changeset
   724
    not (is_coconstr thy x)
0dca1ec52999 thread along context instead of theory for typedef lookup
blanchet
parents: 37253
diff changeset
   725
  end
0dca1ec52999 thread along context instead of theory for typedef lookup
blanchet
parents: 37253
diff changeset
   726
fun is_constr ctxt stds (x as (_, T)) =
0dca1ec52999 thread along context instead of theory for typedef lookup
blanchet
parents: 37253
diff changeset
   727
  let val thy = ProofContext.theory_of ctxt in
0dca1ec52999 thread along context instead of theory for typedef lookup
blanchet
parents: 37253
diff changeset
   728
    is_constr_like ctxt x andalso
0dca1ec52999 thread along context instead of theory for typedef lookup
blanchet
parents: 37253
diff changeset
   729
    not (is_basic_datatype thy stds
35220
2bcdae5f4fdb added support for nonstandard "nat"s to Nitpick and fixed bugs in binary "nat"s and "int"s
blanchet
parents: 35190
diff changeset
   730
                         (fst (dest_Type (unarize_type (body_type T))))) andalso
37256
0dca1ec52999 thread along context instead of theory for typedef lookup
blanchet
parents: 37253
diff changeset
   731
    not (is_stale_constr ctxt x)
0dca1ec52999 thread along context instead of theory for typedef lookup
blanchet
parents: 37253
diff changeset
   732
  end
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   733
val is_sel = String.isPrefix discr_prefix orf String.isPrefix sel_prefix
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   734
val is_sel_like_and_no_discr =
35665
ff2bf50505ab added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents: 35625
diff changeset
   735
  String.isPrefix sel_prefix orf
ff2bf50505ab added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents: 35625
diff changeset
   736
  (member (op =) [@{const_name fst}, @{const_name snd}])
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   737
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   738
fun in_fun_lhs_for InConstr = InSel
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   739
  | in_fun_lhs_for _ = InFunLHS
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   740
fun in_fun_rhs_for InConstr = InConstr
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   741
  | in_fun_rhs_for InSel = InSel
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   742
  | in_fun_rhs_for InFunRHS1 = InFunRHS2
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   743
  | in_fun_rhs_for _ = InFunRHS1
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   744
35070
96136eb6218f split "nitpick_hol.ML" into two files to make it more manageable;
blanchet
parents: 34998
diff changeset
   745
fun is_boxing_worth_it (hol_ctxt : hol_context) boxy T =
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   746
  case T of
35665
ff2bf50505ab added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents: 35625
diff changeset
   747
    Type (@{type_name fun}, _) =>
34936
c4f04bee79f3 some work on Nitpick's support for quotient types;
blanchet
parents: 34126
diff changeset
   748
    (boxy = InPair orelse boxy = InFunLHS) andalso
c4f04bee79f3 some work on Nitpick's support for quotient types;
blanchet
parents: 34126
diff changeset
   749
    not (is_boolean_type (body_type T))
35665
ff2bf50505ab added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents: 35625
diff changeset
   750
  | Type (@{type_name "*"}, Ts) =>
34936
c4f04bee79f3 some work on Nitpick's support for quotient types;
blanchet
parents: 34126
diff changeset
   751
    boxy = InPair orelse boxy = InFunRHS1 orelse boxy = InFunRHS2 orelse
c4f04bee79f3 some work on Nitpick's support for quotient types;
blanchet
parents: 34126
diff changeset
   752
    ((boxy = InExpr orelse boxy = InFunLHS) andalso
35070
96136eb6218f split "nitpick_hol.ML" into two files to make it more manageable;
blanchet
parents: 34998
diff changeset
   753
     exists (is_boxing_worth_it hol_ctxt InPair)
96136eb6218f split "nitpick_hol.ML" into two files to make it more manageable;
blanchet
parents: 34998
diff changeset
   754
            (map (box_type hol_ctxt InPair) Ts))
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   755
  | _ => false
35280
54ab4921f826 fixed a few bugs in Nitpick and removed unreferenced variables
blanchet
parents: 35220
diff changeset
   756
and should_box_type (hol_ctxt as {thy, boxes, ...}) boxy z =
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   757
  case triple_lookup (type_match thy) boxes (Type z) of
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   758
    SOME (SOME box_me) => box_me
35070
96136eb6218f split "nitpick_hol.ML" into two files to make it more manageable;
blanchet
parents: 34998
diff changeset
   759
  | _ => is_boxing_worth_it hol_ctxt boxy (Type z)
96136eb6218f split "nitpick_hol.ML" into two files to make it more manageable;
blanchet
parents: 34998
diff changeset
   760
and box_type hol_ctxt boxy T =
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   761
  case T of
35665
ff2bf50505ab added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents: 35625
diff changeset
   762
    Type (z as (@{type_name fun}, [T1, T2])) =>
34936
c4f04bee79f3 some work on Nitpick's support for quotient types;
blanchet
parents: 34126
diff changeset
   763
    if boxy <> InConstr andalso boxy <> InSel andalso
35070
96136eb6218f split "nitpick_hol.ML" into two files to make it more manageable;
blanchet
parents: 34998
diff changeset
   764
       should_box_type hol_ctxt boxy z then
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   765
      Type (@{type_name fun_box},
35070
96136eb6218f split "nitpick_hol.ML" into two files to make it more manageable;
blanchet
parents: 34998
diff changeset
   766
            [box_type hol_ctxt InFunLHS T1, box_type hol_ctxt InFunRHS1 T2])
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   767
    else
35070
96136eb6218f split "nitpick_hol.ML" into two files to make it more manageable;
blanchet
parents: 34998
diff changeset
   768
      box_type hol_ctxt (in_fun_lhs_for boxy) T1
96136eb6218f split "nitpick_hol.ML" into two files to make it more manageable;
blanchet
parents: 34998
diff changeset
   769
      --> box_type hol_ctxt (in_fun_rhs_for boxy) T2
35665
ff2bf50505ab added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents: 35625
diff changeset
   770
  | Type (z as (@{type_name "*"}, Ts)) =>
34982
7b8c366e34a2 added support for nonstandard models to Nitpick (based on an idea by Koen Claessen) and did other fixes to Nitpick
blanchet
parents: 34936
diff changeset
   771
    if boxy <> InConstr andalso boxy <> InSel
35070
96136eb6218f split "nitpick_hol.ML" into two files to make it more manageable;
blanchet
parents: 34998
diff changeset
   772
       andalso should_box_type hol_ctxt boxy z then
96136eb6218f split "nitpick_hol.ML" into two files to make it more manageable;
blanchet
parents: 34998
diff changeset
   773
      Type (@{type_name pair_box}, map (box_type hol_ctxt InSel) Ts)
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   774
    else
35665
ff2bf50505ab added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents: 35625
diff changeset
   775
      Type (@{type_name "*"},
ff2bf50505ab added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents: 35625
diff changeset
   776
            map (box_type hol_ctxt
34121
5e831d805118 get rid of polymorphic equality in Nitpick's code + a few minor cleanups
blanchet
parents: 33978
diff changeset
   777
                          (if boxy = InConstr orelse boxy = InSel then boxy
5e831d805118 get rid of polymorphic equality in Nitpick's code + a few minor cleanups
blanchet
parents: 33978
diff changeset
   778
                           else InPair)) Ts)
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   779
  | _ => T
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   780
35190
ce653cc27a94 make sure that Nitpick uses binary notation consistently if "binary_ints" is enabled
blanchet
parents: 35181
diff changeset
   781
fun binarize_nat_and_int_in_type @{typ nat} = @{typ "unsigned_bit word"}
ce653cc27a94 make sure that Nitpick uses binary notation consistently if "binary_ints" is enabled
blanchet
parents: 35181
diff changeset
   782
  | binarize_nat_and_int_in_type @{typ int} = @{typ "signed_bit word"}
ce653cc27a94 make sure that Nitpick uses binary notation consistently if "binary_ints" is enabled
blanchet
parents: 35181
diff changeset
   783
  | binarize_nat_and_int_in_type (Type (s, Ts)) =
ce653cc27a94 make sure that Nitpick uses binary notation consistently if "binary_ints" is enabled
blanchet
parents: 35181
diff changeset
   784
    Type (s, map binarize_nat_and_int_in_type Ts)
ce653cc27a94 make sure that Nitpick uses binary notation consistently if "binary_ints" is enabled
blanchet
parents: 35181
diff changeset
   785
  | binarize_nat_and_int_in_type T = T
ce653cc27a94 make sure that Nitpick uses binary notation consistently if "binary_ints" is enabled
blanchet
parents: 35181
diff changeset
   786
val binarize_nat_and_int_in_term = map_types binarize_nat_and_int_in_type
ce653cc27a94 make sure that Nitpick uses binary notation consistently if "binary_ints" is enabled
blanchet
parents: 35181
diff changeset
   787
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   788
fun discr_for_constr (s, T) = (discr_prefix ^ s, body_type T --> bool_T)
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   789
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   790
fun num_sels_for_constr_type T = length (maybe_curried_binder_types T)
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   791
fun nth_sel_name_for_constr_name s n =
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   792
  if s = @{const_name Pair} then
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   793
    if n = 0 then @{const_name fst} else @{const_name snd}
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   794
  else
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   795
    sel_prefix_for n ^ s
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   796
fun nth_sel_for_constr x ~1 = discr_for_constr x
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   797
  | nth_sel_for_constr (s, T) n =
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   798
    (nth_sel_name_for_constr_name s n,
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   799
     body_type T --> nth (maybe_curried_binder_types T) n)
35190
ce653cc27a94 make sure that Nitpick uses binary notation consistently if "binary_ints" is enabled
blanchet
parents: 35181
diff changeset
   800
fun binarized_and_boxed_nth_sel_for_constr hol_ctxt binarize =
ce653cc27a94 make sure that Nitpick uses binary notation consistently if "binary_ints" is enabled
blanchet
parents: 35181
diff changeset
   801
  apsnd ((binarize ? binarize_nat_and_int_in_type) o box_type hol_ctxt InSel)
ce653cc27a94 make sure that Nitpick uses binary notation consistently if "binary_ints" is enabled
blanchet
parents: 35181
diff changeset
   802
  oo nth_sel_for_constr
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   803
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   804
fun sel_no_from_name s =
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   805
  if String.isPrefix discr_prefix s then
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   806
    ~1
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   807
  else if String.isPrefix sel_prefix s then
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   808
    s |> unprefix sel_prefix |> Int.fromString |> the
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   809
  else if s = @{const_name snd} then
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   810
    1
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   811
  else
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   812
    0
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   813
35078
6fd1052fe463 optimization to quantifiers in Nitpick's handling of simp rules + renamed some SAT solvers
blanchet
parents: 35075
diff changeset
   814
val close_form =
6fd1052fe463 optimization to quantifiers in Nitpick's handling of simp rules + renamed some SAT solvers
blanchet
parents: 35075
diff changeset
   815
  let
6fd1052fe463 optimization to quantifiers in Nitpick's handling of simp rules + renamed some SAT solvers
blanchet
parents: 35075
diff changeset
   816
    fun close_up zs zs' =
6fd1052fe463 optimization to quantifiers in Nitpick's handling of simp rules + renamed some SAT solvers
blanchet
parents: 35075
diff changeset
   817
      fold (fn (z as ((s, _), T)) => fn t' =>
6fd1052fe463 optimization to quantifiers in Nitpick's handling of simp rules + renamed some SAT solvers
blanchet
parents: 35075
diff changeset
   818
               Term.all T $ Abs (s, T, abstract_over (Var z, t')))
6fd1052fe463 optimization to quantifiers in Nitpick's handling of simp rules + renamed some SAT solvers
blanchet
parents: 35075
diff changeset
   819
           (take (length zs' - length zs) zs')
6fd1052fe463 optimization to quantifiers in Nitpick's handling of simp rules + renamed some SAT solvers
blanchet
parents: 35075
diff changeset
   820
    fun aux zs (@{const "==>"} $ t1 $ t2) =
6fd1052fe463 optimization to quantifiers in Nitpick's handling of simp rules + renamed some SAT solvers
blanchet
parents: 35075
diff changeset
   821
        let val zs' = Term.add_vars t1 zs in
6fd1052fe463 optimization to quantifiers in Nitpick's handling of simp rules + renamed some SAT solvers
blanchet
parents: 35075
diff changeset
   822
          close_up zs zs' (Logic.mk_implies (t1, aux zs' t2))
6fd1052fe463 optimization to quantifiers in Nitpick's handling of simp rules + renamed some SAT solvers
blanchet
parents: 35075
diff changeset
   823
        end
6fd1052fe463 optimization to quantifiers in Nitpick's handling of simp rules + renamed some SAT solvers
blanchet
parents: 35075
diff changeset
   824
      | aux zs t = close_up zs (Term.add_vars t zs) t
6fd1052fe463 optimization to quantifiers in Nitpick's handling of simp rules + renamed some SAT solvers
blanchet
parents: 35075
diff changeset
   825
  in aux [] end
6fd1052fe463 optimization to quantifiers in Nitpick's handling of simp rules + renamed some SAT solvers
blanchet
parents: 35075
diff changeset
   826
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   827
fun eta_expand _ t 0 = t
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   828
  | eta_expand Ts (Abs (s, T, t')) n =
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   829
    Abs (s, T, eta_expand (T :: Ts) t' (n - 1))
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   830
  | eta_expand Ts t n =
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   831
    fold_rev (curry3 Abs ("x\<^isub>\<eta>" ^ nat_subscript n))
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   832
             (List.take (binder_types (fastype_of1 (Ts, t)), n))
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   833
             (list_comb (incr_boundvars n t, map Bound (n - 1 downto 0)))
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   834
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   835
fun extensionalize t =
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   836
  case t of
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   837
    (t0 as @{const Trueprop}) $ t1 => t0 $ extensionalize t1
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   838
  | Const (@{const_name "op ="}, _) $ t1 $ Abs (s, T, t2) =>
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   839
    let val v = Var ((s, maxidx_of_term t + 1), T) in
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   840
      extensionalize (HOLogic.mk_eq (t1 $ v, subst_bound (v, t2)))
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   841
    end
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   842
  | _ => t
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   843
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   844
fun distinctness_formula T =
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   845
  all_distinct_unordered_pairs_of
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   846
  #> map (fn (t1, t2) => @{const Not} $ (HOLogic.eq_const T $ t1 $ t2))
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   847
  #> List.foldr (s_conj o swap) @{const True}
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   848
35220
2bcdae5f4fdb added support for nonstandard "nat"s to Nitpick and fixed bugs in binary "nat"s and "int"s
blanchet
parents: 35190
diff changeset
   849
fun zero_const T = Const (@{const_name zero_class.zero}, T)
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   850
fun suc_const T = Const (@{const_name Suc}, T --> T)
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   851
37256
0dca1ec52999 thread along context instead of theory for typedef lookup
blanchet
parents: 37253
diff changeset
   852
fun uncached_datatype_constrs ({thy, ctxt, stds, ...} : hol_context)
35220
2bcdae5f4fdb added support for nonstandard "nat"s to Nitpick and fixed bugs in binary "nat"s and "int"s
blanchet
parents: 35190
diff changeset
   853
                              (T as Type (s, Ts)) =
33583
b5e0909cd5ea merged, and renamed local "TheoryData" to "Data" (following common Isabelle conventions)
blanchet
parents: 33522 33581
diff changeset
   854
    (case AList.lookup (op =) (#codatatypes (Data.get thy)) s of
34982
7b8c366e34a2 added support for nonstandard models to Nitpick (based on an idea by Koen Claessen) and did other fixes to Nitpick
blanchet
parents: 34936
diff changeset
   855
       SOME (_, xs' as (_ :: _)) => map (apsnd (repair_constr_type thy T)) xs'
33581
e1e77265fb1d added possibility to register datatypes as codatatypes in Nitpick;
blanchet
parents: 33580
diff changeset
   856
     | _ =>
37256
0dca1ec52999 thread along context instead of theory for typedef lookup
blanchet
parents: 37253
diff changeset
   857
       if is_datatype ctxt stds T then
33581
e1e77265fb1d added possibility to register datatypes as codatatypes in Nitpick;
blanchet
parents: 33580
diff changeset
   858
         case Datatype.get_info thy s of
e1e77265fb1d added possibility to register datatypes as codatatypes in Nitpick;
blanchet
parents: 33580
diff changeset
   859
           SOME {index, descr, ...} =>
e1e77265fb1d added possibility to register datatypes as codatatypes in Nitpick;
blanchet
parents: 33580
diff changeset
   860
           let
e1e77265fb1d added possibility to register datatypes as codatatypes in Nitpick;
blanchet
parents: 33580
diff changeset
   861
             val (_, dtyps, constrs) = AList.lookup (op =) descr index |> the
e1e77265fb1d added possibility to register datatypes as codatatypes in Nitpick;
blanchet
parents: 33580
diff changeset
   862
           in
e1e77265fb1d added possibility to register datatypes as codatatypes in Nitpick;
blanchet
parents: 33580
diff changeset
   863
             map (fn (s', Us) =>
e1e77265fb1d added possibility to register datatypes as codatatypes in Nitpick;
blanchet
parents: 33580
diff changeset
   864
                     (s', map (Refute.typ_of_dtyp descr (dtyps ~~ Ts)) Us
e1e77265fb1d added possibility to register datatypes as codatatypes in Nitpick;
blanchet
parents: 33580
diff changeset
   865
                          ---> T)) constrs
e1e77265fb1d added possibility to register datatypes as codatatypes in Nitpick;
blanchet
parents: 33580
diff changeset
   866
           end
e1e77265fb1d added possibility to register datatypes as codatatypes in Nitpick;
blanchet
parents: 33580
diff changeset
   867
         | NONE =>
e1e77265fb1d added possibility to register datatypes as codatatypes in Nitpick;
blanchet
parents: 33580
diff changeset
   868
           if is_record_type T then
e1e77265fb1d added possibility to register datatypes as codatatypes in Nitpick;
blanchet
parents: 33580
diff changeset
   869
             let
e1e77265fb1d added possibility to register datatypes as codatatypes in Nitpick;
blanchet
parents: 33580
diff changeset
   870
               val s' = unsuffix Record.ext_typeN s ^ Record.extN
e1e77265fb1d added possibility to register datatypes as codatatypes in Nitpick;
blanchet
parents: 33580
diff changeset
   871
               val T' = (Record.get_extT_fields thy T
e1e77265fb1d added possibility to register datatypes as codatatypes in Nitpick;
blanchet
parents: 33580
diff changeset
   872
                        |> apsnd single |> uncurry append |> map snd) ---> T
e1e77265fb1d added possibility to register datatypes as codatatypes in Nitpick;
blanchet
parents: 33580
diff changeset
   873
             in [(s', T')] end
34936
c4f04bee79f3 some work on Nitpick's support for quotient types;
blanchet
parents: 34126
diff changeset
   874
           else if is_quot_type thy T then
c4f04bee79f3 some work on Nitpick's support for quotient types;
blanchet
parents: 34126
diff changeset
   875
             [(@{const_name Quot}, rep_type_for_quot_type thy T --> T)]
37256
0dca1ec52999 thread along context instead of theory for typedef lookup
blanchet
parents: 37253
diff changeset
   876
           else case typedef_info ctxt s of
33581
e1e77265fb1d added possibility to register datatypes as codatatypes in Nitpick;
blanchet
parents: 33580
diff changeset
   877
             SOME {abs_type, rep_type, Abs_name, ...} =>
35311
8f9a66fc9f80 improved Nitpick's support for quotient types
blanchet
parents: 35309
diff changeset
   878
             [(Abs_name,
8f9a66fc9f80 improved Nitpick's support for quotient types
blanchet
parents: 35309
diff changeset
   879
               varify_and_instantiate_type thy abs_type T rep_type --> T)]
33581
e1e77265fb1d added possibility to register datatypes as codatatypes in Nitpick;
blanchet
parents: 33580
diff changeset
   880
           | NONE =>
e1e77265fb1d added possibility to register datatypes as codatatypes in Nitpick;
blanchet
parents: 33580
diff changeset
   881
             if T = @{typ ind} then
e1e77265fb1d added possibility to register datatypes as codatatypes in Nitpick;
blanchet
parents: 33580
diff changeset
   882
               [dest_Const @{const Zero_Rep}, dest_Const @{const Suc_Rep}]
e1e77265fb1d added possibility to register datatypes as codatatypes in Nitpick;
blanchet
parents: 33580
diff changeset
   883
             else
e1e77265fb1d added possibility to register datatypes as codatatypes in Nitpick;
blanchet
parents: 33580
diff changeset
   884
               []
e1e77265fb1d added possibility to register datatypes as codatatypes in Nitpick;
blanchet
parents: 33580
diff changeset
   885
       else
e1e77265fb1d added possibility to register datatypes as codatatypes in Nitpick;
blanchet
parents: 33580
diff changeset
   886
         [])
33580
45c33e97cb86 added datatype constructor cache in Nitpick (to speed up the scope enumeration) and never test more than 4096 scopes
blanchet
parents: 33578
diff changeset
   887
  | uncached_datatype_constrs _ _ = []
35220
2bcdae5f4fdb added support for nonstandard "nat"s to Nitpick and fixed bugs in binary "nat"s and "int"s
blanchet
parents: 35190
diff changeset
   888
fun datatype_constrs (hol_ctxt as {constr_cache, ...}) T =
33580
45c33e97cb86 added datatype constructor cache in Nitpick (to speed up the scope enumeration) and never test more than 4096 scopes
blanchet
parents: 33578
diff changeset
   889
  case AList.lookup (op =) (!constr_cache) T of
45c33e97cb86 added datatype constructor cache in Nitpick (to speed up the scope enumeration) and never test more than 4096 scopes
blanchet
parents: 33578
diff changeset
   890
    SOME xs => xs
45c33e97cb86 added datatype constructor cache in Nitpick (to speed up the scope enumeration) and never test more than 4096 scopes
blanchet
parents: 33578
diff changeset
   891
  | NONE =>
35220
2bcdae5f4fdb added support for nonstandard "nat"s to Nitpick and fixed bugs in binary "nat"s and "int"s
blanchet
parents: 35190
diff changeset
   892
    let val xs = uncached_datatype_constrs hol_ctxt T in
33580
45c33e97cb86 added datatype constructor cache in Nitpick (to speed up the scope enumeration) and never test more than 4096 scopes
blanchet
parents: 33578
diff changeset
   893
      (Unsynchronized.change constr_cache (cons (T, xs)); xs)
45c33e97cb86 added datatype constructor cache in Nitpick (to speed up the scope enumeration) and never test more than 4096 scopes
blanchet
parents: 33578
diff changeset
   894
    end
35190
ce653cc27a94 make sure that Nitpick uses binary notation consistently if "binary_ints" is enabled
blanchet
parents: 35181
diff changeset
   895
fun binarized_and_boxed_datatype_constrs hol_ctxt binarize =
ce653cc27a94 make sure that Nitpick uses binary notation consistently if "binary_ints" is enabled
blanchet
parents: 35181
diff changeset
   896
  map (apsnd ((binarize ? binarize_nat_and_int_in_type)
ce653cc27a94 make sure that Nitpick uses binary notation consistently if "binary_ints" is enabled
blanchet
parents: 35181
diff changeset
   897
              o box_type hol_ctxt InConstr)) o datatype_constrs hol_ctxt
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   898
val num_datatype_constrs = length oo datatype_constrs
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   899
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   900
fun constr_name_for_sel_like @{const_name fst} = @{const_name Pair}
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   901
  | constr_name_for_sel_like @{const_name snd} = @{const_name Pair}
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   902
  | constr_name_for_sel_like s' = original_name s'
35190
ce653cc27a94 make sure that Nitpick uses binary notation consistently if "binary_ints" is enabled
blanchet
parents: 35181
diff changeset
   903
fun binarized_and_boxed_constr_for_sel hol_ctxt binarize (s', T') =
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   904
  let val s = constr_name_for_sel_like s' in
35190
ce653cc27a94 make sure that Nitpick uses binary notation consistently if "binary_ints" is enabled
blanchet
parents: 35181
diff changeset
   905
    AList.lookup (op =)
ce653cc27a94 make sure that Nitpick uses binary notation consistently if "binary_ints" is enabled
blanchet
parents: 35181
diff changeset
   906
        (binarized_and_boxed_datatype_constrs hol_ctxt binarize (domain_type T'))
ce653cc27a94 make sure that Nitpick uses binary notation consistently if "binary_ints" is enabled
blanchet
parents: 35181
diff changeset
   907
        s
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   908
    |> the |> pair s
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   909
  end
34982
7b8c366e34a2 added support for nonstandard models to Nitpick (based on an idea by Koen Claessen) and did other fixes to Nitpick
blanchet
parents: 34936
diff changeset
   910
35070
96136eb6218f split "nitpick_hol.ML" into two files to make it more manageable;
blanchet
parents: 34998
diff changeset
   911
fun discr_term_for_constr hol_ctxt (x as (s, T)) =
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   912
  let val dataT = body_type T in
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   913
    if s = @{const_name Suc} then
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   914
      Abs (Name.uu, dataT,
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   915
           @{const Not} $ HOLogic.mk_eq (zero_const dataT, Bound 0))
35070
96136eb6218f split "nitpick_hol.ML" into two files to make it more manageable;
blanchet
parents: 34998
diff changeset
   916
    else if num_datatype_constrs hol_ctxt dataT >= 2 then
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   917
      Const (discr_for_constr x)
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   918
    else
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   919
      Abs (Name.uu, dataT, @{const True})
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   920
  end
37256
0dca1ec52999 thread along context instead of theory for typedef lookup
blanchet
parents: 37253
diff changeset
   921
fun discriminate_value (hol_ctxt as {ctxt, ...}) x t =
35280
54ab4921f826 fixed a few bugs in Nitpick and removed unreferenced variables
blanchet
parents: 35220
diff changeset
   922
  case head_of t of
54ab4921f826 fixed a few bugs in Nitpick and removed unreferenced variables
blanchet
parents: 35220
diff changeset
   923
    Const x' =>
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   924
    if x = x' then @{const True}
37256
0dca1ec52999 thread along context instead of theory for typedef lookup
blanchet
parents: 37253
diff changeset
   925
    else if is_constr_like ctxt x' then @{const False}
35070
96136eb6218f split "nitpick_hol.ML" into two files to make it more manageable;
blanchet
parents: 34998
diff changeset
   926
    else betapply (discr_term_for_constr hol_ctxt x, t)
96136eb6218f split "nitpick_hol.ML" into two files to make it more manageable;
blanchet
parents: 34998
diff changeset
   927
  | _ => betapply (discr_term_for_constr hol_ctxt x, t)
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   928
35220
2bcdae5f4fdb added support for nonstandard "nat"s to Nitpick and fixed bugs in binary "nat"s and "int"s
blanchet
parents: 35190
diff changeset
   929
fun nth_arg_sel_term_for_constr thy stds (x as (s, T)) n =
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   930
  let val (arg_Ts, dataT) = strip_type T in
35220
2bcdae5f4fdb added support for nonstandard "nat"s to Nitpick and fixed bugs in binary "nat"s and "int"s
blanchet
parents: 35190
diff changeset
   931
    if dataT = nat_T andalso is_standard_datatype thy stds nat_T then
2bcdae5f4fdb added support for nonstandard "nat"s to Nitpick and fixed bugs in binary "nat"s and "int"s
blanchet
parents: 35190
diff changeset
   932
      @{term "%n::nat. n - 1"}
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   933
    else if is_pair_type dataT then
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   934
      Const (nth_sel_for_constr x n)
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   935
    else
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   936
      let
35665
ff2bf50505ab added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents: 35625
diff changeset
   937
        fun aux m (Type (@{type_name "*"}, [T1, T2])) =
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   938
            let
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   939
              val (m, t1) = aux m T1
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   940
              val (m, t2) = aux m T2
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   941
            in (m, HOLogic.mk_prod (t1, t2)) end
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   942
          | aux m T =
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   943
            (m + 1, Const (nth_sel_name_for_constr_name s m, dataT --> T)
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   944
                    $ Bound 0)
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   945
        val m = fold (Integer.add o num_factors_in_type)
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   946
                     (List.take (arg_Ts, n)) 0
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   947
      in Abs ("x", dataT, aux m (nth arg_Ts n) |> snd) end
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   948
  end
37256
0dca1ec52999 thread along context instead of theory for typedef lookup
blanchet
parents: 37253
diff changeset
   949
fun select_nth_constr_arg ctxt stds x t n res_T =
0dca1ec52999 thread along context instead of theory for typedef lookup
blanchet
parents: 37253
diff changeset
   950
  let val thy = ProofContext.theory_of ctxt in
0dca1ec52999 thread along context instead of theory for typedef lookup
blanchet
parents: 37253
diff changeset
   951
    (case strip_comb t of
0dca1ec52999 thread along context instead of theory for typedef lookup
blanchet
parents: 37253
diff changeset
   952
       (Const x', args) =>
0dca1ec52999 thread along context instead of theory for typedef lookup
blanchet
parents: 37253
diff changeset
   953
       if x = x' then nth args n
0dca1ec52999 thread along context instead of theory for typedef lookup
blanchet
parents: 37253
diff changeset
   954
       else if is_constr_like ctxt x' then Const (@{const_name unknown}, res_T)
0dca1ec52999 thread along context instead of theory for typedef lookup
blanchet
parents: 37253
diff changeset
   955
       else raise SAME ()
0dca1ec52999 thread along context instead of theory for typedef lookup
blanchet
parents: 37253
diff changeset
   956
     | _ => raise SAME())
0dca1ec52999 thread along context instead of theory for typedef lookup
blanchet
parents: 37253
diff changeset
   957
    handle SAME () => betapply (nth_arg_sel_term_for_constr thy stds x n, t)
0dca1ec52999 thread along context instead of theory for typedef lookup
blanchet
parents: 37253
diff changeset
   958
  end
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   959
35220
2bcdae5f4fdb added support for nonstandard "nat"s to Nitpick and fixed bugs in binary "nat"s and "int"s
blanchet
parents: 35190
diff changeset
   960
fun construct_value _ _ x [] = Const x
37256
0dca1ec52999 thread along context instead of theory for typedef lookup
blanchet
parents: 37253
diff changeset
   961
  | construct_value ctxt stds (x as (s, _)) args =
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   962
    let val args = map Envir.eta_contract args in
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   963
      case hd args of
35280
54ab4921f826 fixed a few bugs in Nitpick and removed unreferenced variables
blanchet
parents: 35220
diff changeset
   964
        Const (s', _) $ t =>
34936
c4f04bee79f3 some work on Nitpick's support for quotient types;
blanchet
parents: 34126
diff changeset
   965
        if is_sel_like_and_no_discr s' andalso
c4f04bee79f3 some work on Nitpick's support for quotient types;
blanchet
parents: 34126
diff changeset
   966
           constr_name_for_sel_like s' = s andalso
35220
2bcdae5f4fdb added support for nonstandard "nat"s to Nitpick and fixed bugs in binary "nat"s and "int"s
blanchet
parents: 35190
diff changeset
   967
           forall (fn (n, t') =>
37256
0dca1ec52999 thread along context instead of theory for typedef lookup
blanchet
parents: 37253
diff changeset
   968
                      select_nth_constr_arg ctxt stds x t n dummyT = t')
34936
c4f04bee79f3 some work on Nitpick's support for quotient types;
blanchet
parents: 34126
diff changeset
   969
                  (index_seq 0 (length args) ~~ args) then
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   970
          t
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   971
        else
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   972
          list_comb (Const x, args)
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   973
      | _ => list_comb (Const x, args)
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   974
    end
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   975
37256
0dca1ec52999 thread along context instead of theory for typedef lookup
blanchet
parents: 37253
diff changeset
   976
fun constr_expand (hol_ctxt as {ctxt, stds, ...}) T t =
35665
ff2bf50505ab added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents: 35625
diff changeset
   977
  (case head_of t of
37256
0dca1ec52999 thread along context instead of theory for typedef lookup
blanchet
parents: 37253
diff changeset
   978
     Const x => if is_constr_like ctxt x then t else raise SAME ()
35665
ff2bf50505ab added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents: 35625
diff changeset
   979
   | _ => raise SAME ())
ff2bf50505ab added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents: 35625
diff changeset
   980
  handle SAME () =>
ff2bf50505ab added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents: 35625
diff changeset
   981
         let
ff2bf50505ab added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents: 35625
diff changeset
   982
           val x' as (_, T') =
ff2bf50505ab added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents: 35625
diff changeset
   983
             if is_pair_type T then
ff2bf50505ab added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents: 35625
diff changeset
   984
               let val (T1, T2) = HOLogic.dest_prodT T in
ff2bf50505ab added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents: 35625
diff changeset
   985
                 (@{const_name Pair}, T1 --> T2 --> T)
ff2bf50505ab added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents: 35625
diff changeset
   986
               end
ff2bf50505ab added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents: 35625
diff changeset
   987
             else
ff2bf50505ab added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents: 35625
diff changeset
   988
               datatype_constrs hol_ctxt T |> hd
ff2bf50505ab added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents: 35625
diff changeset
   989
           val arg_Ts = binder_types T'
ff2bf50505ab added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents: 35625
diff changeset
   990
         in
37256
0dca1ec52999 thread along context instead of theory for typedef lookup
blanchet
parents: 37253
diff changeset
   991
           list_comb (Const x', map2 (select_nth_constr_arg ctxt stds x' t)
35665
ff2bf50505ab added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents: 35625
diff changeset
   992
                                     (index_seq 0 (length arg_Ts)) arg_Ts)
ff2bf50505ab added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents: 35625
diff changeset
   993
         end
ff2bf50505ab added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents: 35625
diff changeset
   994
ff2bf50505ab added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents: 35625
diff changeset
   995
fun coerce_bound_no f j t =
ff2bf50505ab added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents: 35625
diff changeset
   996
  case t of
ff2bf50505ab added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents: 35625
diff changeset
   997
    t1 $ t2 => coerce_bound_no f j t1 $ coerce_bound_no f j t2
ff2bf50505ab added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents: 35625
diff changeset
   998
  | Abs (s, T, t') => Abs (s, T, coerce_bound_no f (j + 1) t')
ff2bf50505ab added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents: 35625
diff changeset
   999
  | Bound j' => if j' = j then f t else t
ff2bf50505ab added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents: 35625
diff changeset
  1000
  | _ => t
ff2bf50505ab added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents: 35625
diff changeset
  1001
fun coerce_bound_0_in_term hol_ctxt new_T old_T =
ff2bf50505ab added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents: 35625
diff changeset
  1002
  old_T <> new_T ? coerce_bound_no (coerce_term hol_ctxt [new_T] old_T new_T) 0
37256
0dca1ec52999 thread along context instead of theory for typedef lookup
blanchet
parents: 37253
diff changeset
  1003
and coerce_term (hol_ctxt as {ctxt, stds, fast_descrs, ...}) Ts new_T old_T t =
35665
ff2bf50505ab added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents: 35625
diff changeset
  1004
  if old_T = new_T then
ff2bf50505ab added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents: 35625
diff changeset
  1005
    t
ff2bf50505ab added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents: 35625
diff changeset
  1006
  else
ff2bf50505ab added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents: 35625
diff changeset
  1007
    case (new_T, old_T) of
ff2bf50505ab added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents: 35625
diff changeset
  1008
      (Type (new_s, new_Ts as [new_T1, new_T2]),
ff2bf50505ab added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents: 35625
diff changeset
  1009
       Type (@{type_name fun}, [old_T1, old_T2])) =>
ff2bf50505ab added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents: 35625
diff changeset
  1010
      (case eta_expand Ts t 1 of
ff2bf50505ab added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents: 35625
diff changeset
  1011
         Abs (s, _, t') =>
ff2bf50505ab added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents: 35625
diff changeset
  1012
         Abs (s, new_T1,
ff2bf50505ab added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents: 35625
diff changeset
  1013
              t' |> coerce_bound_0_in_term hol_ctxt new_T1 old_T1
ff2bf50505ab added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents: 35625
diff changeset
  1014
                 |> coerce_term hol_ctxt (new_T1 :: Ts) new_T2 old_T2)
ff2bf50505ab added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents: 35625
diff changeset
  1015
         |> Envir.eta_contract
ff2bf50505ab added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents: 35625
diff changeset
  1016
         |> new_s <> @{type_name fun}
37256
0dca1ec52999 thread along context instead of theory for typedef lookup
blanchet
parents: 37253
diff changeset
  1017
            ? construct_value ctxt stds
35665
ff2bf50505ab added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents: 35625
diff changeset
  1018
                  (if new_s = @{type_name fin_fun} then @{const_name FinFun}
ff2bf50505ab added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents: 35625
diff changeset
  1019
                   else @{const_name FunBox},
ff2bf50505ab added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents: 35625
diff changeset
  1020
                   Type (@{type_name fun}, new_Ts) --> new_T)
ff2bf50505ab added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents: 35625
diff changeset
  1021
              o single
ff2bf50505ab added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents: 35625
diff changeset
  1022
       | t' => raise TERM ("Nitpick_HOL.coerce_term", [t']))
ff2bf50505ab added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents: 35625
diff changeset
  1023
    | (Type (new_s, new_Ts as [new_T1, new_T2]),
ff2bf50505ab added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents: 35625
diff changeset
  1024
       Type (old_s, old_Ts as [old_T1, old_T2])) =>
ff2bf50505ab added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents: 35625
diff changeset
  1025
      if old_s = @{type_name fin_fun} orelse old_s = @{type_name fun_box} orelse
ff2bf50505ab added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents: 35625
diff changeset
  1026
         old_s = @{type_name pair_box} orelse old_s = @{type_name "*"} then
ff2bf50505ab added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents: 35625
diff changeset
  1027
        case constr_expand hol_ctxt old_T t of
ff2bf50505ab added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents: 35625
diff changeset
  1028
          Const (old_s, _) $ t1 =>
ff2bf50505ab added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents: 35625
diff changeset
  1029
          if new_s = @{type_name fun} then
ff2bf50505ab added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents: 35625
diff changeset
  1030
            coerce_term hol_ctxt Ts new_T (Type (@{type_name fun}, old_Ts)) t1
ff2bf50505ab added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents: 35625
diff changeset
  1031
          else
37256
0dca1ec52999 thread along context instead of theory for typedef lookup
blanchet
parents: 37253
diff changeset
  1032
            construct_value ctxt stds
35665
ff2bf50505ab added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents: 35625
diff changeset
  1033
                (old_s, Type (@{type_name fun}, new_Ts) --> new_T)
ff2bf50505ab added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents: 35625
diff changeset
  1034
                [coerce_term hol_ctxt Ts (Type (@{type_name fun}, new_Ts))
ff2bf50505ab added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents: 35625
diff changeset
  1035
                             (Type (@{type_name fun}, old_Ts)) t1]
ff2bf50505ab added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents: 35625
diff changeset
  1036
        | Const _ $ t1 $ t2 =>
37256
0dca1ec52999 thread along context instead of theory for typedef lookup
blanchet
parents: 37253
diff changeset
  1037
          construct_value ctxt stds
35665
ff2bf50505ab added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents: 35625
diff changeset
  1038
              (if new_s = @{type_name "*"} then @{const_name Pair}
ff2bf50505ab added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents: 35625
diff changeset
  1039
               else @{const_name PairBox}, new_Ts ---> new_T)
ff2bf50505ab added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents: 35625
diff changeset
  1040
              (map3 (coerce_term hol_ctxt Ts) [new_T1, new_T2] [old_T1, old_T2]
ff2bf50505ab added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents: 35625
diff changeset
  1041
                    [t1, t2])
ff2bf50505ab added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents: 35625
diff changeset
  1042
        | t' => raise TERM ("Nitpick_HOL.coerce_term", [t'])
ff2bf50505ab added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents: 35625
diff changeset
  1043
      else
ff2bf50505ab added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents: 35625
diff changeset
  1044
        raise TYPE ("Nitpick_HOL.coerce_term", [new_T, old_T], [t])
ff2bf50505ab added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents: 35625
diff changeset
  1045
    | _ => raise TYPE ("Nitpick_HOL.coerce_term", [new_T, old_T], [t])
ff2bf50505ab added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents: 35625
diff changeset
  1046
ff2bf50505ab added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents: 35625
diff changeset
  1047
fun card_of_type assigns (Type (@{type_name fun}, [T1, T2])) =
34123
c4988215a691 distinguish better between "complete" (vs. incomplete) types and "concrete" (vs. abstract) types in Nitpick;
blanchet
parents: 34121
diff changeset
  1048
    reasonable_power (card_of_type assigns T2) (card_of_type assigns T1)
35665
ff2bf50505ab added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents: 35625
diff changeset
  1049
  | card_of_type assigns (Type (@{type_name "*"}, [T1, T2])) =
34123
c4988215a691 distinguish better between "complete" (vs. incomplete) types and "concrete" (vs. abstract) types in Nitpick;
blanchet
parents: 34121
diff changeset
  1050
    card_of_type assigns T1 * card_of_type assigns T2
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1051
  | card_of_type _ (Type (@{type_name itself}, _)) = 1
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1052
  | card_of_type _ @{typ prop} = 2
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1053
  | card_of_type _ @{typ bool} = 2
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1054
  | card_of_type _ @{typ unit} = 1
34123
c4988215a691 distinguish better between "complete" (vs. incomplete) types and "concrete" (vs. abstract) types in Nitpick;
blanchet
parents: 34121
diff changeset
  1055
  | card_of_type assigns T =
c4988215a691 distinguish better between "complete" (vs. incomplete) types and "concrete" (vs. abstract) types in Nitpick;
blanchet
parents: 34121
diff changeset
  1056
    case AList.lookup (op =) assigns T of
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1057
      SOME k => k
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1058
    | NONE => if T = @{typ bisim_iterator} then 0
33232
f93390060bbe internal renaming in Nitpick and fixed Kodkodi invokation on Linux;
blanchet
parents: 33202
diff changeset
  1059
              else raise TYPE ("Nitpick_HOL.card_of_type", [T], [])
35665
ff2bf50505ab added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents: 35625
diff changeset
  1060
fun bounded_card_of_type max default_card assigns
ff2bf50505ab added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents: 35625
diff changeset
  1061
                         (Type (@{type_name fun}, [T1, T2])) =
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1062
    let
34123
c4988215a691 distinguish better between "complete" (vs. incomplete) types and "concrete" (vs. abstract) types in Nitpick;
blanchet
parents: 34121
diff changeset
  1063
      val k1 = bounded_card_of_type max default_card assigns T1
c4988215a691 distinguish better between "complete" (vs. incomplete) types and "concrete" (vs. abstract) types in Nitpick;
blanchet
parents: 34121
diff changeset
  1064
      val k2 = bounded_card_of_type max default_card assigns T2
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1065
    in
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1066
      if k1 = max orelse k2 = max then max
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1067
      else Int.min (max, reasonable_power k2 k1)
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1068
    end
35665
ff2bf50505ab added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents: 35625
diff changeset
  1069
  | bounded_card_of_type max default_card assigns
ff2bf50505ab added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents: 35625
diff changeset
  1070
                         (Type (@{type_name "*"}, [T1, T2])) =
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1071
    let
34123
c4988215a691 distinguish better between "complete" (vs. incomplete) types and "concrete" (vs. abstract) types in Nitpick;
blanchet
parents: 34121
diff changeset
  1072
      val k1 = bounded_card_of_type max default_card assigns T1
c4988215a691 distinguish better between "complete" (vs. incomplete) types and "concrete" (vs. abstract) types in Nitpick;
blanchet
parents: 34121
diff changeset
  1073
      val k2 = bounded_card_of_type max default_card assigns T2
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1074
    in if k1 = max orelse k2 = max then max else Int.min (max, k1 * k2) end
34123
c4988215a691 distinguish better between "complete" (vs. incomplete) types and "concrete" (vs. abstract) types in Nitpick;
blanchet
parents: 34121
diff changeset
  1075
  | bounded_card_of_type max default_card assigns T =
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1076
    Int.min (max, if default_card = ~1 then
34123
c4988215a691 distinguish better between "complete" (vs. incomplete) types and "concrete" (vs. abstract) types in Nitpick;
blanchet
parents: 34121
diff changeset
  1077
                    card_of_type assigns T
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1078
                  else
34123
c4988215a691 distinguish better between "complete" (vs. incomplete) types and "concrete" (vs. abstract) types in Nitpick;
blanchet
parents: 34121
diff changeset
  1079
                    card_of_type assigns T
33232
f93390060bbe internal renaming in Nitpick and fixed Kodkodi invokation on Linux;
blanchet
parents: 33202
diff changeset
  1080
                    handle TYPE ("Nitpick_HOL.card_of_type", _, _) =>
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1081
                           default_card)
35385
29f81babefd7 improved precision of infinite "shallow" datatypes in Nitpick;
blanchet
parents: 35384
diff changeset
  1082
fun bounded_exact_card_of_type hol_ctxt finitizable_dataTs max default_card
29f81babefd7 improved precision of infinite "shallow" datatypes in Nitpick;
blanchet
parents: 35384
diff changeset
  1083
                               assigns T =
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1084
  let
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1085
    fun aux avoid T =
34121
5e831d805118 get rid of polymorphic equality in Nitpick's code + a few minor cleanups
blanchet
parents: 33978
diff changeset
  1086
      (if member (op =) avoid T then
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1087
         0
35385
29f81babefd7 improved precision of infinite "shallow" datatypes in Nitpick;
blanchet
parents: 35384
diff changeset
  1088
       else if member (op =) finitizable_dataTs T then
29f81babefd7 improved precision of infinite "shallow" datatypes in Nitpick;
blanchet
parents: 35384
diff changeset
  1089
         raise SAME ()
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1090
       else case T of
35665
ff2bf50505ab added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents: 35625
diff changeset
  1091
         Type (@{type_name fun}, [T1, T2]) =>
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1092
         let
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1093
           val k1 = aux avoid T1
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1094
           val k2 = aux avoid T2
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1095
         in
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1096
           if k1 = 0 orelse k2 = 0 then 0
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1097
           else if k1 >= max orelse k2 >= max then max
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1098
           else Int.min (max, reasonable_power k2 k1)
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1099
         end
35665
ff2bf50505ab added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents: 35625
diff changeset
  1100
       | Type (@{type_name "*"}, [T1, T2]) =>
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1101
         let
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1102
           val k1 = aux avoid T1
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1103
           val k2 = aux avoid T2
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1104
         in
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1105
           if k1 = 0 orelse k2 = 0 then 0
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1106
           else if k1 >= max orelse k2 >= max then max
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1107
           else Int.min (max, k1 * k2)
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1108
         end
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1109
       | Type (@{type_name itself}, _) => 1
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1110
       | @{typ prop} => 2
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1111
       | @{typ bool} => 2
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1112
       | @{typ unit} => 1
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1113
       | Type _ =>
35070
96136eb6218f split "nitpick_hol.ML" into two files to make it more manageable;
blanchet
parents: 34998
diff changeset
  1114
         (case datatype_constrs hol_ctxt T of
34126
8a2c5d7aff51 polished Nitpick's binary integer support etc.;
blanchet
parents: 34124
diff changeset
  1115
            [] => if is_integer_type T orelse is_bit_type T then 0
8a2c5d7aff51 polished Nitpick's binary integer support etc.;
blanchet
parents: 34124
diff changeset
  1116
                  else raise SAME ()
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1117
          | constrs =>
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1118
            let
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1119
              val constr_cards =
35280
54ab4921f826 fixed a few bugs in Nitpick and removed unreferenced variables
blanchet
parents: 35220
diff changeset
  1120
                map (Integer.prod o map (aux (T :: avoid)) o binder_types o snd)
54ab4921f826 fixed a few bugs in Nitpick and removed unreferenced variables
blanchet
parents: 35220
diff changeset
  1121
                    constrs
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1122
            in
34121
5e831d805118 get rid of polymorphic equality in Nitpick's code + a few minor cleanups
blanchet
parents: 33978
diff changeset
  1123
              if exists (curry (op =) 0) constr_cards then 0
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1124
              else Integer.sum constr_cards
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1125
            end)
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1126
       | _ => raise SAME ())
34123
c4988215a691 distinguish better between "complete" (vs. incomplete) types and "concrete" (vs. abstract) types in Nitpick;
blanchet
parents: 34121
diff changeset
  1127
      handle SAME () =>
c4988215a691 distinguish better between "complete" (vs. incomplete) types and "concrete" (vs. abstract) types in Nitpick;
blanchet
parents: 34121
diff changeset
  1128
             AList.lookup (op =) assigns T |> the_default default_card
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1129
  in Int.min (max, aux [] T) end
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1130
35665
ff2bf50505ab added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents: 35625
diff changeset
  1131
val small_type_max_card = 5
ff2bf50505ab added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents: 35625
diff changeset
  1132
35384
88dbcfe75c45 cosmetics
blanchet
parents: 35335
diff changeset
  1133
fun is_finite_type hol_ctxt T =
35665
ff2bf50505ab added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents: 35625
diff changeset
  1134
  bounded_exact_card_of_type hol_ctxt [] 1 2 [] T > 0
ff2bf50505ab added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents: 35625
diff changeset
  1135
fun is_small_finite_type hol_ctxt T =
ff2bf50505ab added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents: 35625
diff changeset
  1136
  let val n = bounded_exact_card_of_type hol_ctxt [] 1 2 [] T in
ff2bf50505ab added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents: 35625
diff changeset
  1137
    n > 0 andalso n <= small_type_max_card
ff2bf50505ab added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents: 35625
diff changeset
  1138
  end
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1139
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1140
fun is_ground_term (t1 $ t2) = is_ground_term t1 andalso is_ground_term t2
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1141
  | is_ground_term (Const _) = true
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1142
  | is_ground_term _ = false
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1143
36062
194cb6e3c13f get rid of Polyhash, since it's no longer used
blanchet
parents: 35994
diff changeset
  1144
fun hashw_term (t1 $ t2) = hashw (hashw_term t1, hashw_term t2)
194cb6e3c13f get rid of Polyhash, since it's no longer used
blanchet
parents: 35994
diff changeset
  1145
  | hashw_term (Const (s, _)) = hashw_string (s, 0w0)
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1146
  | hashw_term _ = 0w0
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1147
val hash_term = Word.toInt o hashw_term
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1148
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1149
fun special_bounds ts =
35408
b48ab741683b modernized structure Term_Ord;
wenzelm
parents: 35388
diff changeset
  1150
  fold Term.add_vars ts [] |> sort (Term_Ord.fast_indexname_ord o pairself fst)
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1151
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1152
fun abs_var ((s, j), T) body = Abs (s, T, abstract_over (Var ((s, j), T), body))
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1153
33571
3655e51f9958 minor cleanup in Nitpick
blanchet
parents: 33557
diff changeset
  1154
fun is_funky_typedef_name thy s =
34121
5e831d805118 get rid of polymorphic equality in Nitpick's code + a few minor cleanups
blanchet
parents: 33978
diff changeset
  1155
  member (op =) [@{type_name unit}, @{type_name "*"}, @{type_name "+"},
34936
c4f04bee79f3 some work on Nitpick's support for quotient types;
blanchet
parents: 34126
diff changeset
  1156
                 @{type_name int}] s orelse
c4f04bee79f3 some work on Nitpick's support for quotient types;
blanchet
parents: 34126
diff changeset
  1157
  is_frac_type thy (Type (s, []))
33571
3655e51f9958 minor cleanup in Nitpick
blanchet
parents: 33557
diff changeset
  1158
fun is_funky_typedef thy (Type (s, _)) = is_funky_typedef_name thy s
3655e51f9958 minor cleanup in Nitpick
blanchet
parents: 33557
diff changeset
  1159
  | is_funky_typedef _ _ = false
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1160
fun is_arity_type_axiom (Const (@{const_name HOL.type_class}, _)
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1161
                         $ Const (@{const_name TYPE}, _)) = true
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1162
  | is_arity_type_axiom _ = false
37256
0dca1ec52999 thread along context instead of theory for typedef lookup
blanchet
parents: 37253
diff changeset
  1163
fun is_typedef_axiom ctxt boring (@{const "==>"} $ _ $ t2) =
0dca1ec52999 thread along context instead of theory for typedef lookup
blanchet
parents: 37253
diff changeset
  1164
    is_typedef_axiom ctxt boring t2
0dca1ec52999 thread along context instead of theory for typedef lookup
blanchet
parents: 37253
diff changeset
  1165
  | is_typedef_axiom ctxt boring
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1166
        (@{const Trueprop} $ (Const (@{const_name Typedef.type_definition}, _)
35665
ff2bf50505ab added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents: 35625
diff changeset
  1167
         $ Const (_, Type (@{type_name fun}, [Type (s, _), _]))
ff2bf50505ab added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents: 35625
diff changeset
  1168
         $ Const _ $ _)) =
37256
0dca1ec52999 thread along context instead of theory for typedef lookup
blanchet
parents: 37253
diff changeset
  1169
    let val thy = ProofContext.theory_of ctxt in
0dca1ec52999 thread along context instead of theory for typedef lookup
blanchet
parents: 37253
diff changeset
  1170
      boring <> is_funky_typedef_name thy s andalso is_typedef ctxt s
0dca1ec52999 thread along context instead of theory for typedef lookup
blanchet
parents: 37253
diff changeset
  1171
    end
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1172
  | is_typedef_axiom _ _ _ = false
36126
00d550b6cfd4 cosmetics
blanchet
parents: 36062
diff changeset
  1173
val is_class_axiom =
00d550b6cfd4 cosmetics
blanchet
parents: 36062
diff changeset
  1174
  Logic.strip_horn #> swap #> op :: #> forall (can Logic.dest_of_class)
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1175
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1176
(* Distinguishes between (1) constant definition axioms, (2) type arity and
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1177
   typedef axioms, and (3) other axioms, and returns the pair ((1), (3)).
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1178
   Typedef axioms are uninteresting to Nitpick, because it can retrieve them
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1179
   using "typedef_info". *)
37256
0dca1ec52999 thread along context instead of theory for typedef lookup
blanchet
parents: 37253
diff changeset
  1180
fun partition_axioms_by_definitionality ctxt axioms def_names =
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1181
  let
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1182
    val axioms = sort (fast_string_ord o pairself fst) axioms
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1183
    val defs = OrdList.inter (fast_string_ord o apsnd fst) def_names axioms
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1184
    val nondefs =
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1185
      OrdList.subtract (fast_string_ord o apsnd fst) def_names axioms
37256
0dca1ec52999 thread along context instead of theory for typedef lookup
blanchet
parents: 37253
diff changeset
  1186
      |> filter_out ((is_arity_type_axiom orf is_typedef_axiom ctxt true) o snd)
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1187
  in pairself (map snd) (defs, nondefs) end
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1188
33197
de6285ebcc05 continuation of Nitpick's integration into Isabelle;
blanchet
parents: 33192
diff changeset
  1189
(* Ideally we would check against "Complex_Main", not "Refute", but any theory
de6285ebcc05 continuation of Nitpick's integration into Isabelle;
blanchet
parents: 33192
diff changeset
  1190
   will do as long as it contains all the "axioms" and "axiomatization"
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1191
   commands. *)
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1192
fun is_built_in_theory thy = Theory.subthy (thy, @{theory Refute})
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1193
35283
7ae51d5ea05d filter out trivial definitions in Nitpick (e.g. "Topology.topo" from AFP)
blanchet
parents: 35280
diff changeset
  1194
val is_trivial_definition =
7ae51d5ea05d filter out trivial definitions in Nitpick (e.g. "Topology.topo" from AFP)
blanchet
parents: 35280
diff changeset
  1195
  the_default false o try (op aconv o Logic.dest_equals)
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1196
val is_plain_definition =
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1197
  let
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1198
    fun do_lhs t1 =
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1199
      case strip_comb t1 of
34936
c4f04bee79f3 some work on Nitpick's support for quotient types;
blanchet
parents: 34126
diff changeset
  1200
        (Const _, args) =>
c4f04bee79f3 some work on Nitpick's support for quotient types;
blanchet
parents: 34126
diff changeset
  1201
        forall is_Var args andalso not (has_duplicates (op =) args)
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1202
      | _ => false
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1203
    fun do_eq (Const (@{const_name "=="}, _) $ t1 $ _) = do_lhs t1
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1204
      | do_eq (@{const Trueprop} $ (Const (@{const_name "op ="}, _) $ t1 $ _)) =
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1205
        do_lhs t1
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1206
      | do_eq _ = false
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1207
  in do_eq end
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1208
37256
0dca1ec52999 thread along context instead of theory for typedef lookup
blanchet
parents: 37253
diff changeset
  1209
fun all_axioms_of ctxt subst =
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1210
  let
37256
0dca1ec52999 thread along context instead of theory for typedef lookup
blanchet
parents: 37253
diff changeset
  1211
    val thy = ProofContext.theory_of ctxt
35335
f715cfde056a support local definitions in Nitpick
blanchet
parents: 35332
diff changeset
  1212
    val axioms_of_thys =
35893
02595d4a3a7c detect OFCLASS() axioms in Nitpick;
blanchet
parents: 35845
diff changeset
  1213
      maps Thm.axioms_of
02595d4a3a7c detect OFCLASS() axioms in Nitpick;
blanchet
parents: 35845
diff changeset
  1214
      #> map (apsnd (subst_atomic subst o prop_of))
02595d4a3a7c detect OFCLASS() axioms in Nitpick;
blanchet
parents: 35845
diff changeset
  1215
      #> filter_out (is_class_axiom o snd)
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1216
    val specs = Defs.all_specifications_of (Theory.defs_of thy)
33701
9dd1079cec3a primitive defs: clarified def (axiom name) vs. description;
wenzelm
parents: 33699
diff changeset
  1217
    val def_names = specs |> maps snd |> map_filter #def
33197
de6285ebcc05 continuation of Nitpick's integration into Isabelle;
blanchet
parents: 33192
diff changeset
  1218
                    |> OrdList.make fast_string_ord
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1219
    val thys = thy :: Theory.ancestors_of thy
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1220
    val (built_in_thys, user_thys) = List.partition is_built_in_theory thys
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1221
    val built_in_axioms = axioms_of_thys built_in_thys
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1222
    val user_axioms = axioms_of_thys user_thys
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1223
    val (built_in_defs, built_in_nondefs) =
37256
0dca1ec52999 thread along context instead of theory for typedef lookup
blanchet
parents: 37253
diff changeset
  1224
      partition_axioms_by_definitionality ctxt built_in_axioms def_names
0dca1ec52999 thread along context instead of theory for typedef lookup
blanchet
parents: 37253
diff changeset
  1225
      ||> filter (is_typedef_axiom ctxt false)
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1226
    val (u