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
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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 extended_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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    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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    skolemize: bool,
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    star_linear_preds: bool,
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    uncurry: 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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    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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  val name_sep : string
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  val numeral_prefix : string
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  val skolem_prefix : string
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  val eval_prefix : string
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  val original_name : string -> string
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  val unbit_and_unbox_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 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 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_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_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 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 instantiate_type : theory -> typ -> typ -> typ -> typ
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  val is_real_datatype : theory -> string -> bool
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  val is_codatatype : theory -> typ -> bool
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  val is_pure_typedef : theory -> typ -> bool
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  val is_univ_typedef : theory -> typ -> bool
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  val is_datatype : theory -> 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 : theory -> styp -> bool
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  val is_rep_fun : theory -> styp -> bool
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  val is_constr : theory -> styp -> bool
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  val is_stale_constr : theory -> 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 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 boxed_nth_sel_for_constr : extended_context -> styp -> int -> styp
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  val sel_no_from_name : string -> int
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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 : extended_context -> typ -> styp list
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  val boxed_datatype_constrs : extended_context -> typ -> styp list
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  val num_datatype_constrs : extended_context -> typ -> int
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  val constr_name_for_sel_like : string -> string
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  val boxed_constr_for_sel : extended_context -> styp -> styp
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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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    extended_context -> int -> int -> (typ * int) list -> typ -> int
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  val is_finite_type : extended_context -> typ -> bool
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  val all_axioms_of : theory -> term list * term list * term list
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  val arity_of_built_in_const : bool -> styp -> int option
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  val is_built_in_const : bool -> styp -> bool
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  val case_const_names : theory -> (string * int) list
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  val const_def_table : Proof.context -> 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 -> const_table
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  val const_psimp_table : Proof.context -> const_table
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  val inductive_intro_table : Proof.context -> 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 def_of_const : theory -> const_table -> styp -> term option
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  val is_inductive_pred : extended_context -> styp -> bool
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  val is_constr_pattern_lhs : theory -> term -> bool
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  val is_constr_pattern_formula : theory -> term -> bool
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  val merge_type_vars_in_terms : term list -> term list
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  val ground_types_in_type : extended_context -> typ -> typ list
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  val ground_types_in_terms : extended_context -> term list -> typ list
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  val format_type : int list -> int list -> typ -> typ
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  val format_term_type :
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    theory -> const_table -> (term option * int list) list -> term -> typ
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  val user_friendly_const :
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   extended_context -> string * string -> (term option * int list) list
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   -> styp -> term * typ
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  val assign_operator_for_const : styp -> string
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  val preprocess_term :
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    extended_context -> term -> ((term list * term list) * (bool * bool)) * term
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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 extended_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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  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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  skolemize: bool,
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  star_linear_preds: bool,
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  uncurry: 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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  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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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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(* term * term -> term *)
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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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(* term -> term -> term *)
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fun mk_exists v t =
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  HOLogic.exists_const (fastype_of v) $ lambda v (incr_boundvars 1 t)
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(* term -> term -> term list *)
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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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(* term -> term list * term *)
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fun strip_any_connective (t as (t0 $ t1 $ t2)) =
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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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(* term -> term list *)
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val conjuncts = strip_connective @{const "op &"}
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val disjuncts = strip_connective @{const "op |"}
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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 nwf_prefix = nitpick_prefix ^ "nwf" ^ 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 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 bound_var_prefix = "b"
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val cong_var_prefix = "c"
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val iter_var_prefix = "i"
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val val_var_prefix = nitpick_prefix ^ "v"
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val arg_var_prefix = "x"
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(* int -> string *)
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fun sel_prefix_for j = sel_prefix ^ string_of_int j ^ name_sep
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fun special_prefix_for j = special_prefix ^ string_of_int j ^ name_sep
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(* int -> int -> string *)
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fun skolem_prefix_for k j =
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  skolem_prefix ^ string_of_int k ^ "@" ^ string_of_int j ^ name_sep
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fun uncurry_prefix_for k j =
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  uncurry_prefix ^ string_of_int k ^ "@" ^ string_of_int j ^ name_sep
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(* string -> string * string *)
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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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(* string -> 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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val after_name_sep = snd o strip_first_name_sep
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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 Suc}, 0),
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   (@{const_name finite}, 1),
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   (@{const_name nat}, 0),
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   (@{const_name zero_nat_inst.zero_nat}, 0),
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   (@{const_name one_nat_inst.one_nat}, 0),
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   (@{const_name plus_nat_inst.plus_nat}, 0),
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   (@{const_name minus_nat_inst.minus_nat}, 0),
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   (@{const_name times_nat_inst.times_nat}, 0),
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   (@{const_name div_nat_inst.div_nat}, 0),
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   (@{const_name ord_nat_inst.less_nat}, 2),
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   (@{const_name ord_nat_inst.less_eq_nat}, 2),
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   (@{const_name nat_gcd}, 0),
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   (@{const_name nat_lcm}, 0),
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   (@{const_name zero_int_inst.zero_int}, 0),
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   (@{const_name one_int_inst.one_int}, 0),
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   (@{const_name plus_int_inst.plus_int}, 0),
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   (@{const_name minus_int_inst.minus_int}, 0),
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   (@{const_name times_int_inst.times_int}, 0),
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   (@{const_name div_int_inst.div_int}, 0),
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   (@{const_name uminus_int_inst.uminus_int}, 0),
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   (@{const_name ord_int_inst.less_int}, 2),
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   (@{const_name ord_int_inst.less_eq_int}, 2),
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   (@{const_name Tha}, 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_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 of_nat}, nat_T --> int_T), 0),
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   ((@{const_name of_nat}, @{typ "unsigned_bit word => signed_bit word"}), 0)]
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val built_in_set_consts =
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  [(@{const_name lower_semilattice_fun_inst.inf_fun}, 2),
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   (@{const_name upper_semilattice_fun_inst.sup_fun}, 2),
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   (@{const_name minus_fun_inst.minus_fun}, 2),
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   (@{const_name ord_fun_inst.less_eq_fun}, 2)]
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(* typ -> typ *)
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fun unbit_type @{typ "unsigned_bit word"} = nat_T
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  | unbit_type @{typ "signed_bit word"} = int_T
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  | unbit_type @{typ bisim_iterator} = nat_T
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  | unbit_type (Type (s, Ts as _ :: _)) = Type (s, map unbit_type Ts)
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  | unbit_type T = T
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fun unbit_and_unbox_type (Type (@{type_name fun_box}, Ts)) =
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    unbit_and_unbox_type (Type ("fun", Ts))
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  | unbit_and_unbox_type (Type (@{type_name pair_box}, Ts)) =
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    Type ("*", map unbit_and_unbox_type Ts)
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  | unbit_and_unbox_type @{typ "unsigned_bit word"} = nat_T
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  | unbit_and_unbox_type @{typ "signed_bit word"} = int_T
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  | unbit_and_unbox_type @{typ bisim_iterator} = nat_T
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  | unbit_and_unbox_type (Type (s, Ts as _ :: _)) =
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    Type (s, map unbit_and_unbox_type Ts)
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  | unbit_and_unbox_type T = T
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(* Proof.context -> typ -> string *)
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fun string_for_type ctxt = Syntax.string_of_typ ctxt o unbit_and_unbox_type
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(* string -> string -> string *)
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val prefix_name = Long_Name.qualify o Long_Name.base_name
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(* string -> string *)
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fun shortest_name s = List.last (space_explode "." s) handle List.Empty => ""
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(* string -> term -> term *)
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val prefix_abs_vars = Term.map_abs_vars o prefix_name
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(* term -> term *)
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val shorten_abs_vars = Term.map_abs_vars shortest_name
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(* string -> string *)
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fun short_name s =
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  case space_explode name_sep s of
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    [_] => s |> String.isPrefix nitpick_prefix s ? unprefix nitpick_prefix
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  | ss => map shortest_name ss |> space_implode "_"
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(* typ -> typ *)
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fun shorten_names_in_type (Type (s, Ts)) =
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    Type (short_name s, map shorten_names_in_type Ts)
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  | shorten_names_in_type T = T
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(* term -> term *)
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val shorten_names_in_term =
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  map_aterms (fn Const (s, T) => Const (short_name s, T) | t => t)
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  #> map_types shorten_names_in_type
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   383
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   384
(* theory -> typ * typ -> bool *)
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   385
fun type_match thy (T1, T2) =
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   386
  (Sign.typ_match thy (T2, T1) Vartab.empty; true)
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   387
  handle Type.TYPE_MATCH => false
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   388
(* theory -> styp * styp -> bool *)
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   389
fun const_match thy ((s1, T1), (s2, T2)) =
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   390
  s1 = s2 andalso type_match thy (T1, T2)
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   391
(* theory -> term * term -> bool *)
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   392
fun term_match thy (Const x1, Const x2) = const_match thy (x1, x2)
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   393
  | term_match thy (Free (s1, T1), Free (s2, T2)) =
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   394
    const_match thy ((shortest_name s1, T1), (shortest_name s2, T2))
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   395
  | term_match thy (t1, t2) = t1 aconv t2
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   396
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   397
(* typ -> bool *)
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   398
fun is_TFree (TFree _) = true
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   399
  | is_TFree _ = false
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   400
fun is_higher_order_type (Type ("fun", _)) = true
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   401
  | is_higher_order_type (Type (_, Ts)) = exists is_higher_order_type Ts
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   402
  | is_higher_order_type _ = false
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   403
fun is_fun_type (Type ("fun", _)) = true
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   404
  | is_fun_type _ = false
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   405
fun is_set_type (Type ("fun", [_, @{typ bool}])) = true
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   406
  | is_set_type _ = false
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   407
fun is_pair_type (Type ("*", _)) = true
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   408
  | is_pair_type _ = false
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   409
fun is_lfp_iterator_type (Type (s, _)) = String.isPrefix lfp_iterator_prefix s
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   410
  | is_lfp_iterator_type _ = false
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   411
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
   412
  | is_gfp_iterator_type _ = false
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   413
val is_fp_iterator_type = is_lfp_iterator_type orf is_gfp_iterator_type
34121
5e831d805118 get rid of polymorphic equality in Nitpick's code + a few minor cleanups
blanchet
parents: 33978
diff changeset
   414
fun is_boolean_type T = (T = prop_T orelse T = bool_T)
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   415
val is_integer_type =
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   416
  member (op =) [nat_T, int_T, @{typ bisim_iterator}] orf is_fp_iterator_type
34124
c4628a1dcf75 added support for binary nat/int representation to Nitpick
blanchet
parents: 34123
diff changeset
   417
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
   418
fun is_word_type (Type (@{type_name word}, _)) = true
c4628a1dcf75 added support for binary nat/int representation to Nitpick
blanchet
parents: 34123
diff changeset
   419
  | is_word_type _ = false
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   420
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
   421
(* theory -> typ -> bool *)
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   422
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
   423
    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
   424
  | is_frac_type _ _ = false
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   425
fun is_number_type thy = is_integer_type orf is_frac_type thy
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   426
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   427
(* bool -> styp -> typ *)
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   428
fun iterator_type_for_const gfp (s, T) =
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   429
  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
   430
        binder_types T)
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   431
(* typ -> styp *)
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   432
fun const_for_iterator_type (Type (s, Ts)) = (after_name_sep s, Ts ---> bool_T)
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   433
  | const_for_iterator_type T =
33232
f93390060bbe internal renaming in Nitpick and fixed Kodkodi invokation on Linux;
blanchet
parents: 33202
diff changeset
   434
    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
   435
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   436
(* int -> typ -> typ * typ *)
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   437
fun strip_n_binders 0 T = ([], T)
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   438
  | strip_n_binders n (Type ("fun", [T1, T2])) =
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   439
    strip_n_binders (n - 1) T2 |>> cons T1
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   440
  | strip_n_binders n (Type (@{type_name fun_box}, Ts)) =
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   441
    strip_n_binders n (Type ("fun", Ts))
33232
f93390060bbe internal renaming in Nitpick and fixed Kodkodi invokation on Linux;
blanchet
parents: 33202
diff changeset
   442
  | 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
   443
(* typ -> typ *)
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   444
val nth_range_type = snd oo strip_n_binders
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   445
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   446
(* typ -> int *)
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   447
fun num_factors_in_type (Type ("*", [T1, T2])) =
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   448
    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
   449
  | num_factors_in_type _ = 1
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   450
fun num_binder_types (Type ("fun", [_, T2])) = 1 + num_binder_types T2
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   451
  | num_binder_types _ = 0
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   452
(* typ -> typ list *)
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   453
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
   454
fun maybe_curried_binder_types T =
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   455
  (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
   456
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   457
(* typ -> term list -> term *)
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   458
fun mk_flat_tuple _ [t] = t
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   459
  | mk_flat_tuple (Type ("*", [T1, T2])) (t :: ts) =
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   460
    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
   461
  | 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
   462
(* int -> term -> term list *)
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   463
fun dest_n_tuple 1 t = [t]
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   464
  | 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
   465
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   466
(* int -> typ -> typ list *)
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   467
fun dest_n_tuple_type 1 T = [T]
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   468
  | dest_n_tuple_type n (Type (_, [T1, T2])) =
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   469
    T1 :: dest_n_tuple_type (n - 1) T2
33232
f93390060bbe internal renaming in Nitpick and fixed Kodkodi invokation on Linux;
blanchet
parents: 33202
diff changeset
   470
  | dest_n_tuple_type _ T =
f93390060bbe internal renaming in Nitpick and fixed Kodkodi invokation on Linux;
blanchet
parents: 33202
diff changeset
   471
    raise TYPE ("Nitpick_HOL.dest_n_tuple_type", [T], [])
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   472
34121
5e831d805118 get rid of polymorphic equality in Nitpick's code + a few minor cleanups
blanchet
parents: 33978
diff changeset
   473
(* 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
   474
   e.g., by adding a field to "Datatype_Aux.info". *)
5e831d805118 get rid of polymorphic equality in Nitpick's code + a few minor cleanups
blanchet
parents: 33978
diff changeset
   475
(* string -> bool *)
5e831d805118 get rid of polymorphic equality in Nitpick's code + a few minor cleanups
blanchet
parents: 33978
diff changeset
   476
val is_basic_datatype =
5e831d805118 get rid of polymorphic equality in Nitpick's code + a few minor cleanups
blanchet
parents: 33978
diff changeset
   477
    member (op =) [@{type_name "*"}, @{type_name bool}, @{type_name unit},
5e831d805118 get rid of polymorphic equality in Nitpick's code + a few minor cleanups
blanchet
parents: 33978
diff changeset
   478
                   @{type_name nat}, @{type_name int},
5e831d805118 get rid of polymorphic equality in Nitpick's code + a few minor cleanups
blanchet
parents: 33978
diff changeset
   479
                   "Code_Numeral.code_numeral"]
5e831d805118 get rid of polymorphic equality in Nitpick's code + a few minor cleanups
blanchet
parents: 33978
diff changeset
   480
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   481
(* theory -> typ -> typ -> typ -> typ *)
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   482
fun instantiate_type thy T1 T1' T2 =
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   483
  Same.commit (Envir.subst_type_same
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   484
                   (Sign.typ_match thy (Logic.varifyT T1, T1') Vartab.empty))
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   485
              (Logic.varifyT T2)
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   486
  handle Type.TYPE_MATCH =>
33232
f93390060bbe internal renaming in Nitpick and fixed Kodkodi invokation on Linux;
blanchet
parents: 33202
diff changeset
   487
         raise TYPE ("Nitpick_HOL.instantiate_type", [T1, T1'], [])
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
(* theory -> typ -> typ -> styp *)
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   490
fun repair_constr_type thy body_T' T =
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   491
  instantiate_type thy (body_type T) body_T' T
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   492
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   493
(* string -> (string * string) list -> theory -> theory *)
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   494
fun register_frac_type frac_s ersaetze thy =
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   495
  let
33583
b5e0909cd5ea merged, and renamed local "TheoryData" to "Data" (following common Isabelle conventions)
blanchet
parents: 33522 33581
diff changeset
   496
    val {frac_types, codatatypes} = Data.get thy
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   497
    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
   498
  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
   499
(* string -> theory -> theory *)
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   500
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
   501
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   502
(* typ -> string -> styp list -> theory -> theory *)
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   503
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
   504
  let
33583
b5e0909cd5ea merged, and renamed local "TheoryData" to "Data" (following common Isabelle conventions)
blanchet
parents: 33522 33581
diff changeset
   505
    val {frac_types, codatatypes} = Data.get thy
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   506
    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
   507
    val (co_s, co_Ts) = dest_Type co_T
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   508
    val _ =
34121
5e831d805118 get rid of polymorphic equality in Nitpick's code + a few minor cleanups
blanchet
parents: 33978
diff changeset
   509
      if forall is_TFree co_Ts andalso not (has_duplicates (op =) co_Ts)
5e831d805118 get rid of polymorphic equality in Nitpick's code + a few minor cleanups
blanchet
parents: 33978
diff changeset
   510
         andalso co_s <> "fun" andalso not (is_basic_datatype co_s) then
5e831d805118 get rid of polymorphic equality in Nitpick's code + a few minor cleanups
blanchet
parents: 33978
diff changeset
   511
        ()
5e831d805118 get rid of polymorphic equality in Nitpick's code + a few minor cleanups
blanchet
parents: 33978
diff changeset
   512
      else
5e831d805118 get rid of polymorphic equality in Nitpick's code + a few minor cleanups
blanchet
parents: 33978
diff changeset
   513
        raise TYPE ("Nitpick_HOL.register_codatatype", [co_T], [])
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   514
    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
   515
                                   codatatypes
33583
b5e0909cd5ea merged, and renamed local "TheoryData" to "Data" (following common Isabelle conventions)
blanchet
parents: 33522 33581
diff changeset
   516
  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
   517
(* typ -> theory -> theory *)
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   518
fun unregister_codatatype co_T = register_codatatype co_T "" []
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   519
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   520
type typedef_info =
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   521
  {rep_type: typ, abs_type: typ, Rep_name: string, Abs_name: string,
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   522
   set_def: thm option, prop_of_Rep: thm, set_name: string,
33876
62bcf6a52493 fixed soundness bug in Nitpick's handling of typedefs
blanchet
parents: 33864
diff changeset
   523
   Abs_inverse: thm option, Rep_inverse: thm option}
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   524
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   525
(* theory -> string -> typedef_info *)
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   526
fun typedef_info thy s =
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   527
  if is_frac_type thy (Type (s, [])) then
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   528
    SOME {abs_type = Type (s, []), rep_type = @{typ "int * int"},
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   529
          Abs_name = @{const_name Abs_Frac}, Rep_name = @{const_name Rep_Frac},
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   530
          set_def = NONE, prop_of_Rep = @{prop "Rep_Frac x \<in> Frac"}
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   531
                          |> Logic.varify,
33876
62bcf6a52493 fixed soundness bug in Nitpick's handling of typedefs
blanchet
parents: 33864
diff changeset
   532
          set_name = @{const_name Frac}, Abs_inverse = NONE, Rep_inverse = NONE}
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   533
  else case Typedef.get_info thy s of
33876
62bcf6a52493 fixed soundness bug in Nitpick's handling of typedefs
blanchet
parents: 33864
diff changeset
   534
    SOME {abs_type, rep_type, Abs_name, Rep_name, set_def, Rep, Abs_inverse,
62bcf6a52493 fixed soundness bug in Nitpick's handling of typedefs
blanchet
parents: 33864
diff changeset
   535
          Rep_inverse, ...} =>
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   536
    SOME {abs_type = abs_type, rep_type = rep_type, Abs_name = Abs_name,
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   537
          Rep_name = Rep_name, set_def = set_def, prop_of_Rep = prop_of Rep,
33876
62bcf6a52493 fixed soundness bug in Nitpick's handling of typedefs
blanchet
parents: 33864
diff changeset
   538
          set_name = set_prefix ^ s, Abs_inverse = SOME Abs_inverse,
62bcf6a52493 fixed soundness bug in Nitpick's handling of typedefs
blanchet
parents: 33864
diff changeset
   539
          Rep_inverse = SOME Rep_inverse}
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   540
  | NONE => NONE
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   541
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   542
(* theory -> string -> bool *)
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   543
val is_typedef = is_some oo typedef_info
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   544
val is_real_datatype = is_some oo Datatype.get_info
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   545
(* theory -> typ -> bool *)
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   546
fun is_codatatype thy (T as Type (s, _)) =
33583
b5e0909cd5ea merged, and renamed local "TheoryData" to "Data" (following common Isabelle conventions)
blanchet
parents: 33522 33581
diff changeset
   547
    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
   548
               |> Option.map snd |> these))
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   549
  | is_codatatype _ _ = false
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   550
fun is_pure_typedef thy (T as Type (s, _)) =
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   551
    is_typedef thy s andalso
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   552
    not (is_real_datatype thy s orelse is_codatatype thy T
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   553
         orelse is_record_type T orelse is_integer_type T)
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   554
  | is_pure_typedef _ _ = false
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   555
fun is_univ_typedef thy (Type (s, _)) =
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   556
    (case typedef_info thy s of
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   557
       SOME {set_def, prop_of_Rep, ...} =>
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   558
       (case set_def of
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   559
          SOME thm =>
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   560
          try (fst o dest_Const o snd o Logic.dest_equals o prop_of) thm
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   561
        | NONE =>
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   562
          try (fst o dest_Const o snd o HOLogic.dest_mem
33864
232daf7eafaf fix Nitpick soundness bugs related to integration (in particular, "code_numeral")
blanchet
parents: 33851
diff changeset
   563
               o HOLogic.dest_Trueprop) prop_of_Rep) = SOME @{const_name top}
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   564
     | NONE => false)
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   565
  | is_univ_typedef _ _ = false
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   566
fun is_datatype thy (T as Type (s, _)) =
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   567
    (is_typedef thy s orelse is_codatatype thy T orelse T = @{typ ind})
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   568
    andalso not (is_basic_datatype s)
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   569
  | is_datatype _ _ = false
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   570
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   571
(* theory -> typ -> (string * typ) list * (string * typ) *)
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   572
fun all_record_fields thy T =
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   573
  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
   574
    recs @ more :: all_record_fields thy (snd more)
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   575
  end
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   576
  handle TYPE _ => []
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   577
(* styp -> bool *)
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   578
fun is_record_constr (x as (s, T)) =
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   579
  String.isSuffix Record.extN s andalso
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   580
  let val dataT = body_type T in
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   581
    is_record_type dataT andalso
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   582
    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
   583
  end
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   584
(* theory -> typ -> int *)
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   585
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
   586
(* theory -> string -> typ -> int *)
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   587
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
   588
  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
   589
             (Record.get_extT_fields thy T1 ||> single |> op @)
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   590
(* theory -> styp -> bool *)
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   591
fun is_record_get thy (s, Type ("fun", [T1, _])) =
34121
5e831d805118 get rid of polymorphic equality in Nitpick's code + a few minor cleanups
blanchet
parents: 33978
diff changeset
   592
    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
   593
  | is_record_get _ _ = false
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   594
fun is_record_update thy (s, T) =
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   595
  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
   596
  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
   597
         (all_record_fields thy (body_type T))
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   598
  handle TYPE _ => false
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   599
fun is_abs_fun thy (s, Type ("fun", [_, Type (s', _)])) =
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   600
    (case typedef_info thy s' of
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   601
       SOME {Abs_name, ...} => s = Abs_name
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   602
     | NONE => false)
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   603
  | is_abs_fun _ _ = false
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   604
fun is_rep_fun thy (s, Type ("fun", [Type (s', _), _])) =
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   605
    (case typedef_info thy s' of
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   606
       SOME {Rep_name, ...} => s = Rep_name
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   607
     | NONE => false)
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   608
  | is_rep_fun _ _ = false
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   609
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   610
(* theory -> styp -> styp *)
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   611
fun mate_of_rep_fun thy (x as (_, Type ("fun", [T1 as Type (s', _), T2]))) =
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   612
    (case typedef_info thy s' of
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   613
       SOME {Abs_name, ...} => (Abs_name, Type ("fun", [T2, T1]))
33232
f93390060bbe internal renaming in Nitpick and fixed Kodkodi invokation on Linux;
blanchet
parents: 33202
diff changeset
   614
     | 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
   615
  | mate_of_rep_fun _ x = raise TERM ("Nitpick_HOL.mate_of_rep_fun", [Const x])
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   616
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   617
(* theory -> styp -> bool *)
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   618
fun is_coconstr thy (s, T) =
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   619
  let
33583
b5e0909cd5ea merged, and renamed local "TheoryData" to "Data" (following common Isabelle conventions)
blanchet
parents: 33522 33581
diff changeset
   620
    val {codatatypes, ...} = Data.get thy
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   621
    val co_T = body_type T
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   622
    val co_s = dest_Type co_T |> fst
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   623
  in
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   624
    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
   625
           (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
   626
  end
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   627
  handle TYPE ("dest_Type", _, _) => false
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   628
fun is_constr_like thy (s, T) =
34121
5e831d805118 get rid of polymorphic equality in Nitpick's code + a few minor cleanups
blanchet
parents: 33978
diff changeset
   629
  s = @{const_name FunBox} orelse s = @{const_name PairBox} orelse
34124
c4628a1dcf75 added support for binary nat/int representation to Nitpick
blanchet
parents: 34123
diff changeset
   630
  let val (x as (s, T)) = (s, unbit_and_unbox_type T) in
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   631
    Refute.is_IDT_constructor thy x orelse is_record_constr x
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   632
    orelse (is_abs_fun thy x andalso is_pure_typedef thy (range_type T))
34121
5e831d805118 get rid of polymorphic equality in Nitpick's code + a few minor cleanups
blanchet
parents: 33978
diff changeset
   633
    orelse s = @{const_name Zero_Rep} orelse s = @{const_name Suc_Rep}
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   634
    orelse x = (@{const_name zero_nat_inst.zero_nat}, nat_T)
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   635
    orelse is_coconstr thy x
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   636
  end
33581
e1e77265fb1d added possibility to register datatypes as codatatypes in Nitpick;
blanchet
parents: 33580
diff changeset
   637
fun is_stale_constr thy (x as (_, T)) =
e1e77265fb1d added possibility to register datatypes as codatatypes in Nitpick;
blanchet
parents: 33580
diff changeset
   638
  is_codatatype thy (body_type T) andalso is_constr_like thy x
e1e77265fb1d added possibility to register datatypes as codatatypes in Nitpick;
blanchet
parents: 33580
diff changeset
   639
  andalso not (is_coconstr thy x)
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   640
fun is_constr thy (x as (_, T)) =
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   641
  is_constr_like thy x
34124
c4628a1dcf75 added support for binary nat/int representation to Nitpick
blanchet
parents: 34123
diff changeset
   642
  andalso not (is_basic_datatype (fst (dest_Type (unbit_type (body_type T)))))
33581
e1e77265fb1d added possibility to register datatypes as codatatypes in Nitpick;
blanchet
parents: 33580
diff changeset
   643
  andalso not (is_stale_constr thy x)
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   644
(* string -> bool *)
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   645
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
   646
val is_sel_like_and_no_discr =
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   647
  String.isPrefix sel_prefix
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   648
  orf (member (op =) [@{const_name fst}, @{const_name snd}])
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   649
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   650
datatype boxability =
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   651
  InConstr | InSel | InExpr | InPair | InFunLHS | InFunRHS1 | InFunRHS2
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   652
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   653
(* boxability -> boxability *)
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   654
fun in_fun_lhs_for InConstr = InSel
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   655
  | in_fun_lhs_for _ = InFunLHS
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   656
fun in_fun_rhs_for InConstr = InConstr
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   657
  | in_fun_rhs_for InSel = InSel
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   658
  | in_fun_rhs_for InFunRHS1 = InFunRHS2
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   659
  | in_fun_rhs_for _ = InFunRHS1
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   660
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   661
(* extended_context -> boxability -> typ -> bool *)
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   662
fun is_boxing_worth_it (ext_ctxt : extended_context) boxy T =
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   663
  case T of
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   664
    Type ("fun", _) =>
34121
5e831d805118 get rid of polymorphic equality in Nitpick's code + a few minor cleanups
blanchet
parents: 33978
diff changeset
   665
    (boxy = InPair orelse boxy = InFunLHS)
5e831d805118 get rid of polymorphic equality in Nitpick's code + a few minor cleanups
blanchet
parents: 33978
diff changeset
   666
    andalso not (is_boolean_type (body_type T))
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   667
  | Type ("*", Ts) =>
34121
5e831d805118 get rid of polymorphic equality in Nitpick's code + a few minor cleanups
blanchet
parents: 33978
diff changeset
   668
    boxy = InPair orelse boxy = InFunRHS1 orelse boxy = InFunRHS2
5e831d805118 get rid of polymorphic equality in Nitpick's code + a few minor cleanups
blanchet
parents: 33978
diff changeset
   669
    orelse ((boxy = InExpr orelse boxy = InFunLHS)
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   670
            andalso exists (is_boxing_worth_it ext_ctxt InPair)
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   671
                           (map (box_type ext_ctxt InPair) Ts))
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   672
  | _ => false
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   673
(* extended_context -> boxability -> string * typ list -> string *)
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   674
and should_box_type (ext_ctxt as {thy, boxes, ...}) boxy (z as (s, Ts)) =
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   675
  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
   676
    SOME (SOME box_me) => box_me
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   677
  | _ => is_boxing_worth_it ext_ctxt boxy (Type z)
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   678
(* extended_context -> boxability -> typ -> typ *)
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   679
and box_type ext_ctxt boxy T =
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   680
  case T of
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   681
    Type (z as ("fun", [T1, T2])) =>
34121
5e831d805118 get rid of polymorphic equality in Nitpick's code + a few minor cleanups
blanchet
parents: 33978
diff changeset
   682
    if boxy <> InConstr andalso boxy <> InSel
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   683
       andalso should_box_type ext_ctxt boxy z then
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   684
      Type (@{type_name fun_box},
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   685
            [box_type ext_ctxt InFunLHS T1, box_type ext_ctxt InFunRHS1 T2])
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   686
    else
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   687
      box_type ext_ctxt (in_fun_lhs_for boxy) T1
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   688
      --> box_type ext_ctxt (in_fun_rhs_for boxy) T2
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   689
  | Type (z as ("*", Ts)) =>
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   690
    if should_box_type ext_ctxt boxy z then
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   691
      Type (@{type_name pair_box}, map (box_type ext_ctxt InSel) Ts)
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   692
    else
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   693
      Type ("*", map (box_type ext_ctxt
34121
5e831d805118 get rid of polymorphic equality in Nitpick's code + a few minor cleanups
blanchet
parents: 33978
diff changeset
   694
                          (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
   695
                           else InPair)) Ts)
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   696
  | _ => T
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   697
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   698
(* styp -> styp *)
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   699
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
   700
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   701
(* typ -> int *)
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   702
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
   703
(* string -> int -> string *)
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   704
fun nth_sel_name_for_constr_name s n =
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   705
  if s = @{const_name Pair} then
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   706
    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
   707
  else
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   708
    sel_prefix_for n ^ s
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   709
(* styp -> int -> styp *)
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   710
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
   711
  | nth_sel_for_constr (s, T) n =
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   712
    (nth_sel_name_for_constr_name s n,
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   713
     body_type T --> nth (maybe_curried_binder_types T) n)
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   714
(* extended_context -> styp -> int -> styp *)
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   715
fun boxed_nth_sel_for_constr ext_ctxt =
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   716
  apsnd (box_type ext_ctxt InSel) oo nth_sel_for_constr
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   717
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   718
(* string -> int *)
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   719
fun sel_no_from_name s =
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   720
  if String.isPrefix discr_prefix s then
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   721
    ~1
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   722
  else if String.isPrefix sel_prefix s then
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   723
    s |> unprefix sel_prefix |> Int.fromString |> the
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   724
  else if s = @{const_name snd} then
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   725
    1
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   726
  else
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   727
    0
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   728
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   729
(* typ list -> term -> int -> term *)
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   730
fun eta_expand _ t 0 = t
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   731
  | eta_expand Ts (Abs (s, T, t')) n =
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   732
    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
   733
  | eta_expand Ts t n =
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   734
    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
   735
             (List.take (binder_types (fastype_of1 (Ts, t)), n))
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   736
             (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
   737
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   738
(* term -> term *)
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   739
fun extensionalize t =
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   740
  case t of
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   741
    (t0 as @{const Trueprop}) $ t1 => t0 $ extensionalize t1
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   742
  | Const (@{const_name "op ="}, _) $ t1 $ Abs (s, T, t2) =>
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   743
    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
   744
      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
   745
    end
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   746
  | _ => t
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   747
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   748
(* typ -> term list -> term *)
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   749
fun distinctness_formula T =
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   750
  all_distinct_unordered_pairs_of
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   751
  #> 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
   752
  #> List.foldr (s_conj o swap) @{const True}
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   753
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   754
(* typ -> term *)
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   755
fun zero_const T = Const (@{const_name zero_nat_inst.zero_nat}, T)
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   756
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
   757
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   758
(* theory -> typ -> styp list *)
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
   759
fun uncached_datatype_constrs thy (T as Type (s, Ts)) =
33583
b5e0909cd5ea merged, and renamed local "TheoryData" to "Data" (following common Isabelle conventions)
blanchet
parents: 33522 33581
diff changeset
   760
    (case AList.lookup (op =) (#codatatypes (Data.get thy)) s of
33581
e1e77265fb1d added possibility to register datatypes as codatatypes in Nitpick;
blanchet
parents: 33580
diff changeset
   761
       SOME (_, xs' as (_ :: _)) =>
e1e77265fb1d added possibility to register datatypes as codatatypes in Nitpick;
blanchet
parents: 33580
diff changeset
   762
       map (apsnd (repair_constr_type thy T)) xs'
e1e77265fb1d added possibility to register datatypes as codatatypes in Nitpick;
blanchet
parents: 33580
diff changeset
   763
     | _ =>
e1e77265fb1d added possibility to register datatypes as codatatypes in Nitpick;
blanchet
parents: 33580
diff changeset
   764
       if is_datatype thy T then
e1e77265fb1d added possibility to register datatypes as codatatypes in Nitpick;
blanchet
parents: 33580
diff changeset
   765
         case Datatype.get_info thy s of
e1e77265fb1d added possibility to register datatypes as codatatypes in Nitpick;
blanchet
parents: 33580
diff changeset
   766
           SOME {index, descr, ...} =>
e1e77265fb1d added possibility to register datatypes as codatatypes in Nitpick;
blanchet
parents: 33580
diff changeset
   767
           let
e1e77265fb1d added possibility to register datatypes as codatatypes in Nitpick;
blanchet
parents: 33580
diff changeset
   768
             val (_, dtyps, constrs) = AList.lookup (op =) descr index |> the
e1e77265fb1d added possibility to register datatypes as codatatypes in Nitpick;
blanchet
parents: 33580
diff changeset
   769
           in
e1e77265fb1d added possibility to register datatypes as codatatypes in Nitpick;
blanchet
parents: 33580
diff changeset
   770
             map (fn (s', Us) =>
e1e77265fb1d added possibility to register datatypes as codatatypes in Nitpick;
blanchet
parents: 33580
diff changeset
   771
                     (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
   772
                          ---> T)) constrs
e1e77265fb1d added possibility to register datatypes as codatatypes in Nitpick;
blanchet
parents: 33580
diff changeset
   773
           end
e1e77265fb1d added possibility to register datatypes as codatatypes in Nitpick;
blanchet
parents: 33580
diff changeset
   774
         | NONE =>
e1e77265fb1d added possibility to register datatypes as codatatypes in Nitpick;
blanchet
parents: 33580
diff changeset
   775
           if is_record_type T then
e1e77265fb1d added possibility to register datatypes as codatatypes in Nitpick;
blanchet
parents: 33580
diff changeset
   776
             let
e1e77265fb1d added possibility to register datatypes as codatatypes in Nitpick;
blanchet
parents: 33580
diff changeset
   777
               val s' = unsuffix Record.ext_typeN s ^ Record.extN
e1e77265fb1d added possibility to register datatypes as codatatypes in Nitpick;
blanchet
parents: 33580
diff changeset
   778
               val T' = (Record.get_extT_fields thy T
e1e77265fb1d added possibility to register datatypes as codatatypes in Nitpick;
blanchet
parents: 33580
diff changeset
   779
                        |> apsnd single |> uncurry append |> map snd) ---> T
e1e77265fb1d added possibility to register datatypes as codatatypes in Nitpick;
blanchet
parents: 33580
diff changeset
   780
             in [(s', T')] end
e1e77265fb1d added possibility to register datatypes as codatatypes in Nitpick;
blanchet
parents: 33580
diff changeset
   781
           else case typedef_info thy s of
e1e77265fb1d added possibility to register datatypes as codatatypes in Nitpick;
blanchet
parents: 33580
diff changeset
   782
             SOME {abs_type, rep_type, Abs_name, ...} =>
e1e77265fb1d added possibility to register datatypes as codatatypes in Nitpick;
blanchet
parents: 33580
diff changeset
   783
             [(Abs_name, instantiate_type thy abs_type T rep_type --> T)]
e1e77265fb1d added possibility to register datatypes as codatatypes in Nitpick;
blanchet
parents: 33580
diff changeset
   784
           | NONE =>
e1e77265fb1d added possibility to register datatypes as codatatypes in Nitpick;
blanchet
parents: 33580
diff changeset
   785
             if T = @{typ ind} then
e1e77265fb1d added possibility to register datatypes as codatatypes in Nitpick;
blanchet
parents: 33580
diff changeset
   786
               [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
   787
             else
e1e77265fb1d added possibility to register datatypes as codatatypes in Nitpick;
blanchet
parents: 33580
diff changeset
   788
               []
e1e77265fb1d added possibility to register datatypes as codatatypes in Nitpick;
blanchet
parents: 33580
diff changeset
   789
       else
e1e77265fb1d added possibility to register datatypes as codatatypes in Nitpick;
blanchet
parents: 33580
diff changeset
   790
         [])
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
   791
  | uncached_datatype_constrs _ _ = []
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   792
(* extended_context -> typ -> styp list *)
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
   793
fun datatype_constrs (ext_ctxt as {thy, constr_cache, ...} : extended_context)
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
   794
                     T =
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
   795
  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
   796
    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
   797
  | NONE =>
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
   798
    let val xs = uncached_datatype_constrs thy T in
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
   799
      (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
   800
    end
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
   801
fun boxed_datatype_constrs ext_ctxt =
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
   802
  map (apsnd (box_type ext_ctxt InConstr)) o datatype_constrs ext_ctxt
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
   803
(* extended_context -> typ -> int *)
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   804
val num_datatype_constrs = length oo datatype_constrs
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   805
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   806
(* string -> string *)
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   807
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
   808
  | 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
   809
  | constr_name_for_sel_like s' = original_name s'
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   810
(* extended_context -> styp -> styp *)
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   811
fun boxed_constr_for_sel ext_ctxt (s', T') =
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   812
  let val s = constr_name_for_sel_like s' in
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   813
    AList.lookup (op =) (boxed_datatype_constrs ext_ctxt (domain_type T')) s
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   814
    |> the |> pair s
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   815
  end
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
   816
(* extended_context -> styp -> term *)
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
   817
fun discr_term_for_constr ext_ctxt (x as (s, T)) =
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   818
  let val dataT = body_type T in
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   819
    if s = @{const_name Suc} then
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   820
      Abs (Name.uu, dataT,
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   821
           @{const Not} $ HOLogic.mk_eq (zero_const dataT, Bound 0))
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
   822
    else if num_datatype_constrs ext_ctxt dataT >= 2 then
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   823
      Const (discr_for_constr x)
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   824
    else
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   825
      Abs (Name.uu, dataT, @{const True})
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   826
  end
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   827
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
   828
(* extended_context -> styp -> term -> term *)
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
   829
fun discriminate_value (ext_ctxt as {thy, ...}) (x as (_, T)) t =
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   830
  case strip_comb t of
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   831
    (Const x', args) =>
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   832
    if x = x' then @{const True}
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   833
    else if is_constr_like thy x' then @{const False}
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
   834
    else betapply (discr_term_for_constr ext_ctxt x, t)
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
   835
  | _ => betapply (discr_term_for_constr ext_ctxt x, t)
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   836
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   837
(* styp -> term -> term *)
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   838
fun nth_arg_sel_term_for_constr (x as (s, T)) n =
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   839
  let val (arg_Ts, dataT) = strip_type T in
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   840
    if dataT = nat_T then
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   841
      @{term "%n::nat. minus_nat_inst.minus_nat n one_nat_inst.one_nat"}
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   842
    else if is_pair_type dataT then
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   843
      Const (nth_sel_for_constr x n)
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   844
    else
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   845
      let
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   846
        (* int -> typ -> int * term *)
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   847
        fun aux m (Type ("*", [T1, T2])) =
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   848
            let
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   849
              val (m, t1) = aux m T1
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   850
              val (m, t2) = aux m T2
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   851
            in (m, HOLogic.mk_prod (t1, t2)) end
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   852
          | aux m T =
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   853
            (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
   854
                    $ Bound 0)
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   855
        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
   856
                     (List.take (arg_Ts, n)) 0
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   857
      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
   858
  end
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   859
(* theory -> styp -> term -> int -> typ -> term *)
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   860
fun select_nth_constr_arg thy x t n res_T =
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   861
  case strip_comb t of
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   862
    (Const x', args) =>
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   863
    if x = x' then nth args n
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   864
    else if is_constr_like thy x' then Const (@{const_name unknown}, res_T)
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   865
    else betapply (nth_arg_sel_term_for_constr x n, t)
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   866
  | _ => betapply (nth_arg_sel_term_for_constr x n, t)
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   867
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   868
(* theory -> styp -> term list -> term *)
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   869
fun construct_value _ x [] = Const x
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   870
  | construct_value thy (x as (s, _)) args =
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   871
    let val args = map Envir.eta_contract args in
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   872
      case hd args of
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   873
        Const (x' as (s', _)) $ t =>
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   874
        if is_sel_like_and_no_discr s' andalso constr_name_for_sel_like s' = s
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   875
           andalso forall (fn (n, t') =>
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   876
                              select_nth_constr_arg thy x t n dummyT = t')
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   877
                          (index_seq 0 (length args) ~~ args) then
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   878
          t
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   879
        else
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   880
          list_comb (Const x, args)
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   881
      | _ => list_comb (Const x, args)
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   882
    end
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   883
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
   884
(* extended_context -> typ -> term -> term *)
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
   885
fun constr_expand (ext_ctxt as {thy, ...}) T t =
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   886
  (case head_of t of
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   887
     Const x => if is_constr_like thy x then t else raise SAME ()
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   888
   | _ => raise SAME ())
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   889
  handle SAME () =>
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   890
         let
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   891
           val x' as (_, T') =
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   892
             if is_pair_type T then
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   893
               let val (T1, T2) = HOLogic.dest_prodT T in
34124
c4628a1dcf75 added support for binary nat/int representation to Nitpick
blanchet
parents: 34123
diff changeset
   894
                 (@{const_name Pair}, T1 --> T2 --> T)
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   895
               end
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   896
             else
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
   897
               datatype_constrs ext_ctxt T |> the_single
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   898
           val arg_Ts = binder_types T'
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   899
         in
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   900
           list_comb (Const x', map2 (select_nth_constr_arg thy x' t)
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   901
                                     (index_seq 0 (length arg_Ts)) arg_Ts)
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   902
         end
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   903
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   904
(* (typ * int) list -> typ -> int *)
34123
c4988215a691 distinguish better between "complete" (vs. incomplete) types and "concrete" (vs. abstract) types in Nitpick;
blanchet
parents: 34121
diff changeset
   905
fun card_of_type assigns (Type ("fun", [T1, T2])) =
c4988215a691 distinguish better between "complete" (vs. incomplete) types and "concrete" (vs. abstract) types in Nitpick;
blanchet
parents: 34121
diff changeset
   906
    reasonable_power (card_of_type assigns T2) (card_of_type assigns T1)
c4988215a691 distinguish better between "complete" (vs. incomplete) types and "concrete" (vs. abstract) types in Nitpick;
blanchet
parents: 34121
diff changeset
   907
  | card_of_type assigns (Type ("*", [T1, T2])) =
c4988215a691 distinguish better between "complete" (vs. incomplete) types and "concrete" (vs. abstract) types in Nitpick;
blanchet
parents: 34121
diff changeset
   908
    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
   909
  | card_of_type _ (Type (@{type_name itself}, _)) = 1
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   910
  | card_of_type _ @{typ prop} = 2
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   911
  | card_of_type _ @{typ bool} = 2
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   912
  | 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
   913
  | 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
   914
    case AList.lookup (op =) assigns T of
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   915
      SOME k => k
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   916
    | 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
   917
              else raise TYPE ("Nitpick_HOL.card_of_type", [T], [])
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   918
(* int -> (typ * int) list -> typ -> int *)
34123
c4988215a691 distinguish better between "complete" (vs. incomplete) types and "concrete" (vs. abstract) types in Nitpick;
blanchet
parents: 34121
diff changeset
   919
fun bounded_card_of_type max default_card assigns (Type ("fun", [T1, T2])) =
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   920
    let
34123
c4988215a691 distinguish better between "complete" (vs. incomplete) types and "concrete" (vs. abstract) types in Nitpick;
blanchet
parents: 34121
diff changeset
   921
      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
   922
      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
   923
    in
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   924
      if k1 = max orelse k2 = max then max
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   925
      else Int.min (max, reasonable_power k2 k1)
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   926
    end
34123
c4988215a691 distinguish better between "complete" (vs. incomplete) types and "concrete" (vs. abstract) types in Nitpick;
blanchet
parents: 34121
diff changeset
   927
  | bounded_card_of_type max default_card assigns (Type ("*", [T1, T2])) =
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   928
    let
34123
c4988215a691 distinguish better between "complete" (vs. incomplete) types and "concrete" (vs. abstract) types in Nitpick;
blanchet
parents: 34121
diff changeset
   929
      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
   930
      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
   931
    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
   932
  | 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
   933
    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
   934
                    card_of_type assigns T
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   935
                  else
34123
c4988215a691 distinguish better between "complete" (vs. incomplete) types and "concrete" (vs. abstract) types in Nitpick;
blanchet
parents: 34121
diff changeset
   936
                    card_of_type assigns T
33232
f93390060bbe internal renaming in Nitpick and fixed Kodkodi invokation on Linux;
blanchet
parents: 33202
diff changeset
   937
                    handle TYPE ("Nitpick_HOL.card_of_type", _, _) =>
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   938
                           default_card)
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
   939
(* extended_context -> int -> (typ * int) list -> typ -> int *)
34123
c4988215a691 distinguish better between "complete" (vs. incomplete) types and "concrete" (vs. abstract) types in Nitpick;
blanchet
parents: 34121
diff changeset
   940
fun bounded_exact_card_of_type ext_ctxt max default_card assigns T =
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   941
  let
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   942
    (* typ list -> typ -> int *)
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   943
    fun aux avoid T =
34121
5e831d805118 get rid of polymorphic equality in Nitpick's code + a few minor cleanups
blanchet
parents: 33978
diff changeset
   944
      (if member (op =) avoid T then
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   945
         0
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   946
       else case T of
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   947
         Type ("fun", [T1, T2]) =>
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   948
         let
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   949
           val k1 = aux avoid T1
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   950
           val k2 = aux avoid T2
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   951
         in
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   952
           if k1 = 0 orelse k2 = 0 then 0
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   953
           else if k1 >= max orelse k2 >= max then max
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   954
           else Int.min (max, reasonable_power k2 k1)
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   955
         end
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   956
       | Type ("*", [T1, T2]) =>
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   957
         let
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   958
           val k1 = aux avoid T1
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   959
           val k2 = aux avoid T2
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   960
         in
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   961
           if k1 = 0 orelse k2 = 0 then 0
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   962
           else if k1 >= max orelse k2 >= max then max
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   963
           else Int.min (max, k1 * k2)
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   964
         end
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   965
       | Type (@{type_name itself}, _) => 1
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   966
       | @{typ prop} => 2
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   967
       | @{typ bool} => 2
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   968
       | @{typ unit} => 1
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   969
       | Type _ =>
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
   970
         (case datatype_constrs ext_ctxt T of
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   971
            [] => if is_integer_type T then 0 else raise SAME ()
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   972
          | constrs =>
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   973
            let
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   974
              val constr_cards =
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
   975
                datatype_constrs ext_ctxt T
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   976
                |> map (Integer.prod o map (aux (T :: avoid)) o binder_types
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   977
                        o snd)
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   978
            in
34121
5e831d805118 get rid of polymorphic equality in Nitpick's code + a few minor cleanups
blanchet
parents: 33978
diff changeset
   979
              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
   980
              else Integer.sum constr_cards
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   981
            end)
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   982
       | _ => raise SAME ())
34123
c4988215a691 distinguish better between "complete" (vs. incomplete) types and "concrete" (vs. abstract) types in Nitpick;
blanchet
parents: 34121
diff changeset
   983
      handle SAME () =>
c4988215a691 distinguish better between "complete" (vs. incomplete) types and "concrete" (vs. abstract) types in Nitpick;
blanchet
parents: 34121
diff changeset
   984
             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
   985
  in Int.min (max, aux [] T) end
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   986
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
   987
(* extended_context -> typ -> bool *)
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
   988
fun is_finite_type ext_ctxt =
34123
c4988215a691 distinguish better between "complete" (vs. incomplete) types and "concrete" (vs. abstract) types in Nitpick;
blanchet
parents: 34121
diff changeset
   989
  not_equal 0 o bounded_exact_card_of_type ext_ctxt 1 2 []
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   990
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   991
(* term -> bool *)
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   992
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
   993
  | is_ground_term (Const _) = true
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   994
  | is_ground_term _ = false
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   995
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   996
(* term -> word -> word *)
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   997
fun hashw_term (t1 $ t2) = Polyhash.hashw (hashw_term t1, hashw_term t2)
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   998
  | hashw_term (Const (s, _)) = Polyhash.hashw_string (s, 0w0)
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   999
  | hashw_term _ = 0w0
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1000
(* term -> int *)
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1001
val hash_term = Word.toInt o hashw_term
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1002
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1003
(* term list -> (indexname * typ) list *)
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1004
fun special_bounds ts =
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1005
  fold Term.add_vars ts [] |> sort (TermOrd.fast_indexname_ord o pairself fst)
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1006
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1007
(* indexname * typ -> term -> term *)
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1008
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
  1009
33571
3655e51f9958 minor cleanup in Nitpick
blanchet
parents: 33557
diff changeset
  1010
(* theory -> string -> bool *)
3655e51f9958 minor cleanup in Nitpick
blanchet
parents: 33557
diff changeset
  1011
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
  1012
  member (op =) [@{type_name unit}, @{type_name "*"}, @{type_name "+"},
5e831d805118 get rid of polymorphic equality in Nitpick's code + a few minor cleanups
blanchet
parents: 33978
diff changeset
  1013
                 @{type_name int}] s
33571
3655e51f9958 minor cleanup in Nitpick
blanchet
parents: 33557
diff changeset
  1014
  orelse is_frac_type thy (Type (s, []))
3655e51f9958 minor cleanup in Nitpick
blanchet
parents: 33557
diff changeset
  1015
(* theory -> term -> bool *)
3655e51f9958 minor cleanup in Nitpick
blanchet
parents: 33557
diff changeset
  1016
fun is_funky_typedef thy (Type (s, _)) = is_funky_typedef_name thy s
3655e51f9958 minor cleanup in Nitpick
blanchet
parents: 33557
diff changeset
  1017
  | is_funky_typedef _ _ = false
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1018
(* term -> bool *)
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1019
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
  1020
                         $ Const (@{const_name TYPE}, _)) = true
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1021
  | is_arity_type_axiom _ = false
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1022
(* theory -> bool -> term -> bool *)
33197
de6285ebcc05 continuation of Nitpick's integration into Isabelle;
blanchet
parents: 33192
diff changeset
  1023
fun is_typedef_axiom thy boring (@{const "==>"} $ _ $ t2) =
de6285ebcc05 continuation of Nitpick's integration into Isabelle;
blanchet
parents: 33192
diff changeset
  1024
    is_typedef_axiom thy boring t2
de6285ebcc05 continuation of Nitpick's integration into Isabelle;
blanchet
parents: 33192
diff changeset
  1025
  | is_typedef_axiom thy boring
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1026
        (@{const Trueprop} $ (Const (@{const_name Typedef.type_definition}, _)
33197
de6285ebcc05 continuation of Nitpick's integration into Isabelle;
blanchet
parents: 33192
diff changeset
  1027
         $ Const (_, Type ("fun", [Type (s, _), _])) $ Const _ $ _)) =
33571
3655e51f9958 minor cleanup in Nitpick
blanchet
parents: 33557
diff changeset
  1028
    boring <> is_funky_typedef_name thy s andalso is_typedef thy s
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1029
  | is_typedef_axiom _ _ _ = false
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1030
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1031
(* 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
  1032
   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
  1033
   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
  1034
   using "typedef_info". *)
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1035
(* theory -> (string * term) list -> string list -> term list * term list *)
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1036
fun partition_axioms_by_definitionality thy axioms def_names =
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1037
  let
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1038
    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
  1039
    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
  1040
    val nondefs =
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1041
      OrdList.subtract (fast_string_ord o apsnd fst) def_names axioms
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1042
      |> filter_out ((is_arity_type_axiom orf is_typedef_axiom thy true) o snd)
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1043
  in pairself (map snd) (defs, nondefs) end
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1044
33197
de6285ebcc05 continuation of Nitpick's integration into Isabelle;
blanchet
parents: 33192
diff changeset
  1045
(* 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
  1046
   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
  1047
   commands. *)
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1048
(* theory -> bool *)
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1049
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
  1050
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1051
(* term -> bool *)
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1052
val is_plain_definition =
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1053
  let
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1054
    (* term -> bool *)
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1055
    fun do_lhs t1 =
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1056
      case strip_comb t1 of
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1057
        (Const _, args) => forall is_Var args
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1058
                           andalso not (has_duplicates (op =) args)
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1059
      | _ => false
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1060
    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
  1061
      | do_eq (@{const Trueprop} $ (Const (@{const_name "op ="}, _) $ t1 $ _)) =
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1062
        do_lhs t1
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1063
      | do_eq _ = false
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1064
  in do_eq end
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1065
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1066
(* theory -> term list * term list * term list *)
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1067
fun all_axioms_of thy =
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1068
  let
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1069
    (* theory list -> term list *)
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1070
    val axioms_of_thys = maps Thm.axioms_of #> map (apsnd prop_of)
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1071
    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
  1072
    val def_names = specs |> maps snd |> map_filter #def
33197
de6285ebcc05 continuation of Nitpick's integration into Isabelle;
blanchet
parents: 33192
diff changeset
  1073
                    |> OrdList.make fast_string_ord
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1074
    val thys = thy :: Theory.ancestors_of thy
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1075
    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
  1076
    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
  1077
    val user_axioms = axioms_of_thys user_thys
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1078
    val (built_in_defs, built_in_nondefs) =
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1079
      partition_axioms_by_definitionality thy built_in_axioms def_names
33197
de6285ebcc05 continuation of Nitpick's integration into Isabelle;
blanchet
parents: 33192
diff changeset
  1080
      ||> filter (is_typedef_axiom thy false)
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1081
    val (user_defs, user_nondefs) =
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1082
      partition_axioms_by_definitionality thy user_axioms def_names
33197
de6285ebcc05 continuation of Nitpick's integration into Isabelle;
blanchet
parents: 33192
diff changeset
  1083
    val (built_in_nondefs, user_nondefs) =
de6285ebcc05 continuation of Nitpick's integration into Isabelle;
blanchet
parents: 33192
diff changeset
  1084
      List.partition (is_typedef_axiom thy false) user_nondefs
de6285ebcc05 continuation of Nitpick's integration into Isabelle;
blanchet
parents: 33192
diff changeset
  1085
      |>> append built_in_nondefs
34121
5e831d805118 get rid of polymorphic equality in Nitpick's code + a few minor cleanups
blanchet
parents: 33978
diff changeset
  1086
    val defs =
5e831d805118 get rid of polymorphic equality in Nitpick's code + a few minor cleanups
blanchet
parents: 33978
diff changeset
  1087
      (thy |> PureThy.all_thms_of
5e831d805118 get rid of polymorphic equality in Nitpick's code + a few minor cleanups
blanchet
parents: 33978
diff changeset
  1088
           |> filter (curry (op =) Thm.definitionK o Thm.get_kind o snd)
5e831d805118 get rid of polymorphic equality in Nitpick's code + a few minor cleanups
blanchet
parents: 33978
diff changeset
  1089
           |> map (prop_of o snd) |> filter is_plain_definition) @
5e831d805118 get rid of polymorphic equality in Nitpick's code + a few minor cleanups
blanchet
parents: 33978
diff changeset
  1090
      user_defs @ built_in_defs
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1091
  in (defs, built_in_nondefs, user_nondefs) end
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1092
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1093
(* bool -> styp -> int option *)
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1094
fun arity_of_built_in_const fast_descrs (s, T) =
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1095
  if s = @{const_name If} then
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1096
    if nth_range_type 3 T = @{typ bool} then NONE else SOME 3
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1097
  else case AList.lookup (op =)
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1098
                (built_in_consts
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1099
                 |> fast_descrs ? append built_in_descr_consts) s of
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1100
    SOME n => SOME n
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1101
  | NONE =>
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1102
    case AList.lookup (op =) built_in_typed_consts (s, T) of
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1103
      SOME n => SOME n
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1104
    | NONE =>
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1105
      if is_fun_type T andalso is_set_type (domain_type T) then
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1106
        AList.lookup (op =) built_in_set_consts s
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1107
      else
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1108
        NONE
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1109
(* bool -> styp -> bool *)
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1110
val is_built_in_const = is_some oo arity_of_built_in_const
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1111
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1112
(* This function is designed to work for both real definition axioms and
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1113
   simplification rules (equational specifications). *)
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1114
(* term -> term *)
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1115
fun term_under_def t =
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1116
  case t of
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1117
    @{const "==>"} $ _ $ t2 => term_under_def t2
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1118
  | Const (@{const_name "=="}, _) $ t1 $ _ => term_under_def t1
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1119
  | @{const Trueprop} $ t1 => term_under_def t1
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1120
  | Const (@{const_name "op ="}, _) $ t1 $ _ => term_under_def t1
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1121
  | Abs (_, _, t') => term_under_def t'
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1122
  | t1 $ _ => term_under_def t1
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1123
  | _ => t
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1124
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1125
(* Here we crucially rely on "Refute.specialize_type" performing a preorder
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1126
   traversal of the term, without which the wrong occurrence of a constant could
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1127
   be matched in the face of overloading. *)
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1128
(* theory -> bool -> const_table -> styp -> term list *)
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1129
fun def_props_for_const thy fast_descrs table (x as (s, _)) =
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1130
  if is_built_in_const fast_descrs x then
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1131
    []
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1132
  else
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1133
    these (Symtab.lookup table s)
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1134
    |> map_filter (try (Refute.specialize_type thy x))
34121
5e831d805118 get rid of polymorphic equality in Nitpick's code + a few minor cleanups
blanchet
parents: 33978
diff changeset
  1135
    |> filter (curry (op =) (Const x) o term_under_def)
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1136
33743
a58893035742 made "NitpickHOL.normalized_rhs_of" more robust in the face of locale definitions
blanchet
parents: 33706
diff changeset
  1137
(* theory -> term -> term option *)
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1138
fun normalized_rhs_of thy t =
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1139
  let
33743
a58893035742 made "NitpickHOL.normalized_rhs_of" more robust in the face of locale definitions
blanchet
parents: 33706
diff changeset
  1140
    (* term option -> term option *)
a58893035742 made "NitpickHOL.normalized_rhs_of" more robust in the face of locale definitions
blanchet
parents: 33706
diff changeset
  1141
    fun aux (v as Var _) (SOME t) = SOME (lambda v t)
a58893035742 made "NitpickHOL.normalized_rhs_of" more robust in the face of locale definitions
blanchet
parents: 33706
diff changeset
  1142
      | aux (c as Const (@{const_name TYPE}, T)) (SOME t) = SOME (lambda c t)
a58893035742 made "NitpickHOL.normalized_rhs_of" more robust in the face of locale definitions
blanchet
parents: 33706
diff changeset
  1143
      | aux _ _ = NONE
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1144
    val (lhs, rhs) =
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1145
      case t of
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1146
        Const (@{const_name "=="}, _) $ t1 $ t2 => (t1, t2)
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1147
      | @{const Trueprop} $ (Const (@{const_name "op ="}, _) $ t1 $ t2) =>
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1148
        (t1, t2)
33232
f93390060bbe internal renaming in Nitpick and fixed Kodkodi invokation on Linux;
blanchet
parents: 33202
diff changeset
  1149
      | _ => raise TERM ("Nitpick_HOL.normalized_rhs_of", [t])
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1150
    val args = strip_comb lhs |> snd
33743
a58893035742 made "NitpickHOL.normalized_rhs_of" more robust in the face of locale definitions
blanchet
parents: 33706
diff changeset
  1151
  in fold_rev aux args (SOME rhs) end
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1152
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1153
(* theory -> const_table -> styp -> term option *)
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1154
fun def_of_const thy table (x as (s, _)) =
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1155
  if is_built_in_const false x orelse original_name s <> s then
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1156
    NONE
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1157
  else
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1158
    x |> def_props_for_const thy false table |> List.last
33743
a58893035742 made "NitpickHOL.normalized_rhs_of" more robust in the face of locale definitions
blanchet
parents: 33706
diff changeset
  1159
      |> normalized_rhs_of thy |> Option.map (prefix_abs_vars s)
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1160
    handle List.Empty => NONE
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1161
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1162
datatype fixpoint_kind = Lfp | Gfp | NoFp
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1163
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1164
(* term -> fixpoint_kind *)
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1165
fun fixpoint_kind_of_rhs (Abs (_, _, t)) = fixpoint_kind_of_rhs t
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1166
  | fixpoint_kind_of_rhs (Const (@{const_name lfp}, _) $ Abs _) = Lfp
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1167
  | fixpoint_kind_of_rhs (Const (@{const_name gfp}, _) $ Abs _) = Gfp
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1168
  | fixpoint_kind_of_rhs _ = NoFp
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1169
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1170
(* theory -> const_table -> term -> bool *)
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1171
fun is_mutually_inductive_pred_def thy table t =
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1172
  let
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1173
    (* term -> bool *)
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1174
    fun is_good_arg (Bound _) = true
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1175
      | is_good_arg (Const (s, _)) =
34121
5e831d805118 get rid of polymorphic equality in Nitpick's code + a few minor cleanups
blanchet
parents: 33978
diff changeset
  1176
        s = @{const_name True} orelse s = @{const_name False}
5e831d805118 get rid of polymorphic equality in Nitpick's code + a few minor cleanups
blanchet
parents: 33978
diff changeset
  1177
        orelse s = @{const_name undefined}
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1178
      | is_good_arg _ = false
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1179
  in
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1180
    case t |> strip_abs_body |> strip_comb of
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1181
      (Const x, ts as (_ :: _)) =>
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1182
      (case def_of_const thy table x of
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1183
         SOME t' => fixpoint_kind_of_rhs t' <> NoFp andalso forall is_good_arg ts
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1184
       | NONE => false)
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1185
    | _ => false
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1186
  end
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1187
(* theory -> const_table -> term -> term *)
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1188
fun unfold_mutually_inductive_preds thy table =
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1189
  map_aterms (fn t as Const x =>
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1190
                 (case def_of_const thy table x of
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1191
                    SOME t' =>
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1192
                    let val t' = Envir.eta_contract t' in
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1193
                      if is_mutually_inductive_pred_def thy table t' then t'
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1194
                      else t
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1195
                    end
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1196
                 | NONE => t)
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1197
               | t => t)
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1198
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1199
(* term -> string * term *)
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1200
fun pair_for_prop t =
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1201
  case term_under_def t of
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1202
    Const (s, _) => (s, t)
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1203
  | Free _ => raise NOT_SUPPORTED "local definitions"
33232
f93390060bbe internal renaming in Nitpick and fixed Kodkodi invokation on Linux;
blanchet
parents: 33202
diff changeset
  1204
  | t' => raise TERM ("Nitpick_HOL.pair_for_prop", [t, t'])
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1205
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1206
(* (Proof.context -> term list) -> Proof.context -> const_table *)
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1207
fun table_for get ctxt =
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1208
  get ctxt |> map pair_for_prop |> AList.group (op =) |> Symtab.make
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1209
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1210
(* theory -> (string * int) list *)
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1211
fun case_const_names thy =
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1212
  Symtab.fold (fn (dtype_s, {index, descr, case_name, ...}) =>
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1213
                  if is_basic_datatype dtype_s then
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1214
                    I
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1215
                  else
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1216
                    cons (case_name, AList.lookup (op =) descr index
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1217
                                     |> the |> #3 |> length))
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1218
              (Datatype.get_all thy) [] @
33583
b5e0909cd5ea merged, and renamed local "TheoryData" to "Data" (following common Isabelle conventions)
blanchet
parents: 33522 33581
diff changeset
  1219
  map (apsnd length o snd) (#codatatypes (Data.get thy))
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1220
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1221
(* Proof.context -> term list -> const_table *)
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1222
fun const_def_table ctxt ts =
34124
c4628a1dcf75 added support for binary nat/int representation to Nitpick
blanchet
parents: 34123
diff changeset
  1223
  table_for (rev o map prop_of o Nitpick_Defs.get) ctxt
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1224
  |> fold (fn (s, t) => Symtab.map_default (s, []) (cons t))
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1225
          (map pair_for_prop ts)
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1226
(* term list -> const_table *)
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1227
fun const_nondef_table ts =
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1228
  fold (fn t => append (map (fn s => (s, t)) (Term.add_const_names t []))) ts []
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1229
  |> AList.group (op =) |> Symtab.make
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1230
(* Proof.context -> const_table *)
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1231
val const_simp_table = table_for (map prop_of o Nitpick_Simps.get)
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1232
val const_psimp_table = table_for (map prop_of o Nitpick_Psimps.get)
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1233
(* Proof.context -> const_table -> const_table *)
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1234
fun inductive_intro_table ctxt def_table =
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1235
  table_for (map (unfold_mutually_inductive_preds (ProofContext.theory_of ctxt)
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1236
                                                  def_table o prop_of)
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1237
             o Nitpick_Intros.get) ctxt
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1238
(* theory -> term list Inttab.table *)
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1239
fun ground_theorem_table thy =
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1240
  fold ((fn @{const Trueprop} $ t1 =>
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1241
            is_ground_term t1 ? Inttab.map_default (hash_term t1, []) (cons t1)
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1242
          | _ => I) o prop_of o snd) (PureThy.all_thms_of thy) Inttab.empty
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1243
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1244
val basic_ersatz_table =
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1245
  [(@{const_name prod_case}, @{const_name split}),
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1246
   (@{const_name card}, @{const_name card'}),
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1247
   (@{const_name setsum}, @{const_name setsum'}),
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1248
   (@{const_name fold_graph}, @{const_name fold_graph'}),
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1249
   (@{const_name wf}, @{const_name wf'}),
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1250
   (@{const_name wf_wfrec}, @{const_name wf_wfrec'}),
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1251
   (@{const_name wfrec}, @{const_name wfrec'})]
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1252
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1253
(* theory -> (string * string) list *)
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1254
fun ersatz_table thy =
33583
b5e0909cd5ea merged, and renamed local "TheoryData" to "Data" (following common Isabelle conventions)
blanchet
parents: 33522 33581
diff changeset
  1255
  fold (append o snd) (#frac_types (Data.get thy)) basic_ersatz_table
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1256
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1257
(* const_table Unsynchronized.ref -> string -> term list -> unit *)
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1258
fun add_simps simp_table s eqs =
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1259
  Unsynchronized.change simp_table
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1260
      (Symtab.update (s, eqs @ these (Symtab.lookup (!simp_table) s)))
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1261
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1262
(* Similar to "Refute.specialize_type" but returns all matches rather than only
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1263
   the first (preorder) match. *)
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1264
(* theory -> styp -> term -> term list *)
33197
de6285ebcc05 continuation of Nitpick's integration into Isabelle;
blanchet
parents: 33192
diff changeset
  1265
fun multi_specialize_type thy slack (x as (s, T)) t =
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1266
  let
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1267
    (* term -> (typ * term) list -> (typ * term) list *)
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1268
    fun aux (Const (s', T')) ys =
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1269
        if s = s' then
33197
de6285ebcc05 continuation of Nitpick's integration into Isabelle;
blanchet
parents: 33192
diff changeset
  1270
          ys |> (if AList.defined (op =) ys T' then
de6285ebcc05 continuation of Nitpick's integration into Isabelle;
blanchet
parents: 33192
diff changeset
  1271
                   I
33583
b5e0909cd5ea merged, and renamed local "TheoryData" to "Data" (following common Isabelle conventions)
blanchet
parents: 33522 33581
diff changeset
  1272
                 else
33197
de6285ebcc05 continuation of Nitpick's integration into Isabelle;
blanchet
parents: 33192
diff changeset
  1273
                  cons (T', Refute.monomorphic_term
de6285ebcc05 continuation of Nitpick's integration into Isabelle;
blanchet
parents: 33192
diff changeset
  1274
                                (Sign.typ_match thy (T', T) Vartab.empty) t)
de6285ebcc05 continuation of Nitpick's integration into Isabelle;
blanchet
parents: 33192
diff changeset
  1275
                  handle Type.TYPE_MATCH => I
de6285ebcc05 continuation of Nitpick's integration into Isabelle;
blanchet
parents: 33192
diff changeset
  1276
                       | Refute.REFUTE _ =>
de6285ebcc05 continuation of Nitpick's integration into Isabelle;
blanchet
parents: 33192
diff changeset
  1277
                         if slack then
de6285ebcc05 continuation of Nitpick's integration into Isabelle;
blanchet
parents: 33192
diff changeset
  1278
                           I
de6285ebcc05 continuation of Nitpick's integration into Isabelle;
blanchet
parents: 33192
diff changeset
  1279
                         else
de6285ebcc05 continuation of Nitpick's integration into Isabelle;
blanchet
parents: 33192
diff changeset
  1280
                           raise NOT_SUPPORTED ("too much polymorphism in \
de6285ebcc05 continuation of Nitpick's integration into Isabelle;
blanchet
parents: 33192
diff changeset
  1281
                                                \axiom involving " ^ quote s))
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1282
        else
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1283
          ys
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1284
      | aux _ ys = ys
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1285
  in map snd (fold_aterms aux t []) end
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1286
33197
de6285ebcc05 continuation of Nitpick's integration into Isabelle;
blanchet
parents: 33192
diff changeset
  1287
(* theory -> bool -> const_table -> styp -> term list *)
de6285ebcc05 continuation of Nitpick's integration into Isabelle;
blanchet
parents: 33192
diff changeset
  1288
fun nondef_props_for_const thy slack table (x as (s, _)) =
de6285ebcc05 continuation of Nitpick's integration into Isabelle;
blanchet
parents: 33192
diff changeset
  1289
  these (Symtab.lookup table s) |> maps (multi_specialize_type thy slack x)
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1290
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1291
(* theory -> styp list -> term list *)
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1292
fun optimized_typedef_axioms thy (abs_s, abs_Ts) =
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1293
  let val abs_T = Type (abs_s, abs_Ts) in
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1294
    if is_univ_typedef thy abs_T then
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1295
      []
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1296
    else case typedef_info thy abs_s of
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1297
      SOME {abs_type, rep_type, Abs_name, Rep_name, prop_of_Rep, set_name,
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1298
            ...} =>
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1299
      let
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1300
        val rep_T = instantiate_type thy abs_type abs_T rep_type
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1301
        val rep_t = Const (Rep_name, abs_T --> rep_T)
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1302
        val set_t = Const (set_name, rep_T --> bool_T)
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1303
        val set_t' =
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1304
          prop_of_Rep |> HOLogic.dest_Trueprop
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1305
                      |> Refute.specialize_type thy (dest_Const rep_t)
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1306
                      |> HOLogic.dest_mem |> snd
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1307
      in
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1308
        [HOLogic.all_const abs_T
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1309
         $ Abs (Name.uu, abs_T, set_t $ (rep_t $ Bound 0))]
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1310
        |> set_t <> set_t' ? cons (HOLogic.mk_eq (set_t, set_t'))
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1311
        |> map HOLogic.mk_Trueprop
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1312
      end
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1313
    | NONE => []
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1314
  end
33876
62bcf6a52493 fixed soundness bug in Nitpick's handling of typedefs
blanchet
parents: 33864
diff changeset
  1315
(* theory -> styp -> term list *)
62bcf6a52493 fixed soundness bug in Nitpick's handling of typedefs
blanchet
parents: 33864
diff changeset
  1316
fun inverse_axioms_for_rep_fun thy (x as (_, T)) =
33864
232daf7eafaf fix Nitpick soundness bugs related to integration (in particular, "code_numeral")
blanchet
parents: 33851
diff changeset
  1317
  let val abs_T = domain_type T in
33876
62bcf6a52493 fixed soundness bug in Nitpick's handling of typedefs
blanchet
parents: 33864
diff changeset
  1318
    typedef_info thy (fst (dest_Type abs_T)) |> the
62bcf6a52493 fixed soundness bug in Nitpick's handling of typedefs
blanchet
parents: 33864
diff changeset
  1319
    |> pairf #Abs_inverse #Rep_inverse
62bcf6a52493 fixed soundness bug in Nitpick's handling of typedefs
blanchet
parents: 33864
diff changeset
  1320
    |> pairself (Refute.specialize_type thy x o prop_of o the)
62bcf6a52493 fixed soundness bug in Nitpick's handling of typedefs
blanchet
parents: 33864
diff changeset
  1321
    ||> single |> op ::
33864
232daf7eafaf fix Nitpick soundness bugs related to integration (in particular, "code_numeral")
blanchet
parents: 33851
diff changeset
  1322
  end
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1323
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1324
(* theory -> int * styp -> term *)
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1325
fun constr_case_body thy (j, (x as (_, T))) =
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1326
  let val arg_Ts = binder_types T in
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1327
    list_comb (Bound j, map2 (select_nth_constr_arg thy x (Bound 0))
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1328
                             (index_seq 0 (length arg_Ts)) arg_Ts)
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1329
  end
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
  1330
(* extended_context -> typ -> int * styp -> term -> term *)
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
  1331
fun add_constr_case (ext_ctxt as {thy, ...}) res_T (j, x) res_t =
34124
c4628a1dcf75 added support for binary nat/int representation to Nitpick
blanchet
parents: 34123
diff changeset
  1332
  Const (@{const_name If}, bool_T --> res_T --> res_T --> res_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
  1333
  $ discriminate_value ext_ctxt x (Bound 0) $ constr_case_body thy (j, x)
45c33e97cb86 added datatype constructor cache in Nitpick (to speed up the scope enumeration) and never test more than 4096 scopes
blanchet
parents: