src/HOL/Tools/Nitpick/nitpick_scope.ML
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(*  Title:      HOL/Tools/Nitpick/nitpick_scope.ML
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    Author:     Jasmin Blanchette, TU Muenchen
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    Copyright   2008, 2009, 2010
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Scope enumerator for Nitpick.
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*)
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signature NITPICK_SCOPE =
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sig
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  type styp = Nitpick_Util.styp
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  type hol_context = Nitpick_HOL.hol_context
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  type constr_spec =
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    {const: styp,
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     delta: int,
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     epsilon: int,
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     exclusive: bool,
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     explicit_max: int,
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     total: bool}
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  type datatype_spec =
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    {typ: typ,
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     card: int,
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     co: bool,
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     standard: bool,
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     self_rec: bool,
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     complete: bool * bool,
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     concrete: bool * bool,
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     deep: bool,
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     constrs: constr_spec list}
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  type scope =
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    {hol_ctxt: hol_context,
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     binarize: bool,
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     card_assigns: (typ * int) list,
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     bits: int,
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     bisim_depth: int,
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     datatypes: datatype_spec list,
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     ofs: int Typtab.table}
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  val is_asymmetric_nondatatype : typ -> bool
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  val datatype_spec : datatype_spec list -> typ -> datatype_spec option
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  val constr_spec : datatype_spec list -> styp -> constr_spec
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  val is_complete_type : datatype_spec list -> bool -> typ -> bool
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  val is_concrete_type : datatype_spec list -> bool -> typ -> bool
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  val is_exact_type : datatype_spec list -> bool -> typ -> bool
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  val offset_of_type : int Typtab.table -> typ -> int
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  val spec_of_type : scope -> typ -> int * int
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  val pretties_for_scope : scope -> bool -> Pretty.T list
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  val multiline_string_for_scope : scope -> string
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  val scopes_equivalent : scope * scope -> bool
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  val scope_less_eq : scope -> scope -> bool
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  val is_self_recursive_constr_type : typ -> bool
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  val all_scopes :
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    hol_context -> bool -> (typ option * int list) list
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    -> (styp option * int list) list -> (styp option * int list) list
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    -> int list -> int list -> typ list -> typ list -> typ list -> typ list
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    -> int * scope list
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end;
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structure Nitpick_Scope : NITPICK_SCOPE =
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struct
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open Nitpick_Util
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open Nitpick_HOL
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type constr_spec =
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  {const: styp,
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   delta: int,
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   epsilon: int,
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   exclusive: bool,
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   explicit_max: int,
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   total: bool}
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type datatype_spec =
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  {typ: typ,
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   card: int,
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   co: bool,
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   standard: bool,
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   self_rec: bool,
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   complete: bool * bool,
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   concrete: bool * bool,
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   deep: bool,
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   constrs: constr_spec list}
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type scope =
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  {hol_ctxt: hol_context,
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   binarize: bool,
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   card_assigns: (typ * int) list,
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   bits: int,
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   bisim_depth: int,
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   datatypes: datatype_spec list,
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   ofs: int Typtab.table}
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datatype row_kind = Card of typ | Max of styp
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type row = row_kind * int list
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type block = row list
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val is_asymmetric_nondatatype =
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  is_iterator_type orf is_integer_type orf is_bit_type
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fun datatype_spec (dtypes : datatype_spec list) T =
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  List.find (curry (op =) T o #typ) dtypes
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fun constr_spec [] x = raise TERM ("Nitpick_Scope.constr_spec", [Const x])
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  | constr_spec ({constrs, ...} :: dtypes : datatype_spec list) (x as (s, T)) =
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    case List.find (curry (op =) (s, body_type T) o (apsnd body_type o #const))
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                   constrs of
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      SOME c => c
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    | NONE => constr_spec dtypes x
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fun is_complete_type dtypes facto (Type (@{type_name fun}, [T1, T2])) =
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    is_concrete_type dtypes facto T1 andalso is_complete_type dtypes facto T2
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  | is_complete_type dtypes facto (Type (@{type_name fin_fun}, [T1, T2])) =
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    is_exact_type dtypes facto T1 andalso is_complete_type dtypes facto T2
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  | is_complete_type dtypes facto (Type (@{type_name Product_Type.prod}, Ts)) =
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    forall (is_complete_type dtypes facto) Ts
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  | is_complete_type dtypes facto T =
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    not (is_integer_like_type T) andalso not (is_bit_type T) andalso
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    fun_from_pair (#complete (the (datatype_spec dtypes T))) facto
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    handle Option.Option => true
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and is_concrete_type dtypes facto (Type (@{type_name fun}, [T1, T2])) =
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    is_complete_type dtypes facto T1 andalso is_concrete_type dtypes facto T2
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  | is_concrete_type dtypes facto (Type (@{type_name fin_fun}, [_, T2])) =
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    is_concrete_type dtypes facto T2
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  | is_concrete_type dtypes facto (Type (@{type_name Product_Type.prod}, Ts)) =
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    forall (is_concrete_type dtypes facto) Ts
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  | is_concrete_type dtypes facto T =
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    fun_from_pair (#concrete (the (datatype_spec dtypes T))) facto
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    handle Option.Option => true
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and is_exact_type dtypes facto =
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  is_complete_type dtypes facto andf is_concrete_type dtypes facto
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fun offset_of_type ofs T =
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  case Typtab.lookup ofs T of
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    SOME j0 => j0
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  | NONE => Typtab.lookup ofs dummyT |> the_default 0
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fun spec_of_type ({card_assigns, ofs, ...} : scope) T =
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  (card_of_type card_assigns T
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   handle TYPE ("Nitpick_HOL.card_of_type", _, _) => ~1, offset_of_type ofs T)
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fun quintuple_for_scope quote
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        ({hol_ctxt = {ctxt, stds, ...}, card_assigns, bits, bisim_depth,
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         datatypes, ...} : scope) =
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  let
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    val boring_Ts = [@{typ unsigned_bit}, @{typ signed_bit},
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                     @{typ bisim_iterator}]
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    val (iter_assigns, card_assigns) =
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      card_assigns |> filter_out (member (op =) boring_Ts o fst)
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                   |> List.partition (is_fp_iterator_type o fst)
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    val (secondary_card_assigns, primary_card_assigns) =
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      card_assigns
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      |> List.partition ((is_integer_type orf is_datatype ctxt stds) o fst)
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    val cards =
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      map (fn (T, k) => quote (string_for_type ctxt T) ^ " = " ^
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                        string_of_int k)
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    fun maxes () =
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      maps (map_filter
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                (fn {const, explicit_max, ...} =>
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                    if explicit_max < 0 then
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                      NONE
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                    else
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                      SOME (Syntax.string_of_term ctxt (Const const) ^ " = " ^
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                            string_of_int explicit_max))
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                 o #constrs) datatypes
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    fun iters () =
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      map (fn (T, k) =>
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              quote (Syntax.string_of_term ctxt
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                         (Const (const_for_iterator_type T))) ^ " = " ^
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              string_of_int (k - 1)) iter_assigns
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    fun miscs () =
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      (if bits = 0 then [] else ["bits = " ^ string_of_int bits]) @
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      (if bisim_depth < 0 andalso forall (not o #co) datatypes then []
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       else ["bisim_depth = " ^ signed_string_of_int bisim_depth])
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  in
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    setmp_show_all_types
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        (fn () => (cards primary_card_assigns, cards secondary_card_assigns,
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                   maxes (), iters (), miscs ())) ()
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  end
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fun pretties_for_scope scope verbose =
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  let
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    val (primary_cards, secondary_cards, maxes, iters, bisim_depths) =
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      quintuple_for_scope maybe_quote scope
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    val ss = map (prefix "card ") primary_cards @
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             (if verbose then
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                map (prefix "card ") secondary_cards @
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                map (prefix "max ") maxes @
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                map (prefix "iter ") iters @
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                bisim_depths
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              else
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                [])
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  in
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    if null ss then []
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    else serial_commas "and" ss |> map Pretty.str |> Pretty.breaks
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  end
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fun multiline_string_for_scope scope =
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  let
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    val (primary_cards, secondary_cards, maxes, iters, bisim_depths) =
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      quintuple_for_scope I scope
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    val cards = primary_cards @ secondary_cards
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  in
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    case (if null cards then [] else ["card: " ^ commas cards]) @
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         (if null maxes then [] else ["max: " ^ commas maxes]) @
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         (if null iters then [] else ["iter: " ^ commas iters]) @
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         bisim_depths of
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      [] => "empty"
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    | lines => space_implode "\n" lines
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  end
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fun scopes_equivalent (s1 : scope, s2 : scope) =
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  #datatypes s1 = #datatypes s2 andalso #card_assigns s1 = #card_assigns s2
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fun scope_less_eq (s1 : scope) (s2 : scope) =
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  (s1, s2) |> pairself (map snd o #card_assigns) |> op ~~ |> forall (op <=)
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fun rank_of_row (_, ks) = length ks
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fun rank_of_block block = fold Integer.max (map rank_of_row block) 1
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fun project_row column (y, ks) = (y, [nth ks (Int.min (column, length ks - 1))])
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fun project_block (column, block) = map (project_row column) block
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fun lookup_ints_assign eq assigns key =
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  case triple_lookup eq assigns key of
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    SOME ks => ks
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  | NONE => raise ARG ("Nitpick_Scope.lookup_ints_assign", "")
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fun lookup_type_ints_assign thy assigns T =
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  map (Integer.max 1) (lookup_ints_assign (type_match thy) assigns T)
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  handle ARG ("Nitpick_Scope.lookup_ints_assign", _) =>
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         raise TYPE ("Nitpick_Scope.lookup_type_ints_assign", [T], [])
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fun lookup_const_ints_assign thy assigns x =
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  lookup_ints_assign (const_match thy) assigns x
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  handle ARG ("Nitpick_Scope.lookup_ints_assign", _) =>
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         raise TERM ("Nitpick_Scope.lookup_const_ints_assign", [Const x])
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fun row_for_constr thy maxes_assigns constr =
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  SOME (Max constr, lookup_const_ints_assign thy maxes_assigns constr)
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  handle TERM ("lookup_const_ints_assign", _) => NONE
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val max_bits = 31 (* Kodkod limit *)
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fun block_for_type (hol_ctxt as {thy, ...}) binarize cards_assigns maxes_assigns
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                   iters_assigns bitss bisim_depths T =
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  if T = @{typ unsigned_bit} then
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    [(Card T, map (Integer.min max_bits o Integer.max 1) bitss)]
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  else if T = @{typ signed_bit} then
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    [(Card T, map (Integer.add 1 o Integer.min max_bits o Integer.max 1) bitss)]
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  else if T = @{typ "unsigned_bit word"} then
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    [(Card T, lookup_type_ints_assign thy cards_assigns nat_T)]
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  else if T = @{typ "signed_bit word"} then
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    [(Card T, lookup_type_ints_assign thy cards_assigns int_T)]
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  else if T = @{typ bisim_iterator} then
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    [(Card T, map (Integer.add 1 o Integer.max 0) bisim_depths)]
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  else if is_fp_iterator_type T then
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    [(Card T, map (Integer.add 1 o Integer.max 0)
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                  (lookup_const_ints_assign thy iters_assigns
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                                            (const_for_iterator_type T)))]
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  else
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    (Card T, lookup_type_ints_assign thy cards_assigns T) ::
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    (case binarized_and_boxed_datatype_constrs hol_ctxt binarize T of
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       [_] => []
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     | constrs => map_filter (row_for_constr thy maxes_assigns) constrs)
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fun blocks_for_types hol_ctxt binarize cards_assigns maxes_assigns iters_assigns
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                     bitss bisim_depths mono_Ts nonmono_Ts =
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  let
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    val block_for = block_for_type hol_ctxt binarize cards_assigns maxes_assigns
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                                   iters_assigns bitss bisim_depths
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    val mono_block = maps block_for mono_Ts
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    val nonmono_blocks = map block_for nonmono_Ts
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  in mono_block :: nonmono_blocks end
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val sync_threshold = 5
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fun all_combinations_ordered_smartly ks =
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  let
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    fun cost_with_monos [] = 0
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      | cost_with_monos (k :: ks) =
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        if k < sync_threshold andalso forall (curry (op =) k) ks then
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          k - sync_threshold
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        else
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          k * (k + 1) div 2 + Integer.sum ks
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    fun cost_without_monos [] = 0
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      | cost_without_monos [k] = k
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      | cost_without_monos (_ :: k :: ks) =
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        if k < sync_threshold andalso forall (curry (op =) k) ks then
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          k - sync_threshold
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        else
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          Integer.sum (k :: ks)
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  in
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    ks |> all_combinations
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       |> map (`(if fst (hd ks) > 1 then cost_with_monos
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                 else cost_without_monos))
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       |> sort (int_ord o pairself fst) |> map snd
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  end
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fun is_self_recursive_constr_type T =
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  exists (exists_subtype (curry (op =) (body_type T))) (binder_types T)
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fun constr_max maxes x = the_default ~1 (AList.lookup (op =) maxes x)
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type scope_desc = (typ * int) list * (styp * int) list
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fun is_surely_inconsistent_card_assign hol_ctxt binarize
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                                       (card_assigns, max_assigns) (T, k) =
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  case binarized_and_boxed_datatype_constrs hol_ctxt binarize T of
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    [] => false
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  | xs =>
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    let
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      val dom_cards =
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        map (Integer.prod o map (bounded_card_of_type k ~1 card_assigns)
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             o binder_types o snd) xs
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      val maxes = map (constr_max max_assigns) xs
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      fun effective_max card ~1 = card
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        | effective_max card max = Int.min (card, max)
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      val max = map2 effective_max dom_cards maxes |> Integer.sum
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    in max < k end
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fun is_surely_inconsistent_scope_description hol_ctxt binarize seen rest
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                                             max_assigns =
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  exists (is_surely_inconsistent_card_assign hol_ctxt binarize
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                                             (seen @ rest, max_assigns)) seen
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fun repair_card_assigns hol_ctxt binarize (card_assigns, max_assigns) =
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  let
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    fun aux seen [] = SOME seen
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      | aux _ ((_, 0) :: _) = NONE
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      | aux seen ((T, k) :: rest) =
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        (if is_surely_inconsistent_scope_description hol_ctxt binarize
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                ((T, k) :: seen) rest max_assigns then
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           raise SAME ()
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         else
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           case aux ((T, k) :: seen) rest of
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             SOME assigns => SOME assigns
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           | NONE => raise SAME ())
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        handle SAME () => aux seen ((T, k - 1) :: rest)
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  in aux [] (rev card_assigns) end
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fun repair_iterator_assign thy assigns (T as Type (_, Ts), k) =
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    (T, if T = @{typ bisim_iterator} then
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          let
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            val co_cards = map snd (filter (is_codatatype thy o fst) assigns)
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          in Int.min (k, Integer.sum co_cards) end
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        else if is_fp_iterator_type T then
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          case Ts of
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            [] => 1
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          | _ => bounded_card_of_type k ~1 assigns (foldr1 HOLogic.mk_prodT Ts)
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        else
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          k)
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  | repair_iterator_assign _ _ assign = assign
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fun add_row_to_scope_descriptor (kind, ks) (card_assigns, max_assigns) =
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  case kind of
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    Card T => ((T, the_single ks) :: card_assigns, max_assigns)
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  | Max x => (card_assigns, (x, the_single ks) :: max_assigns)
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   356
fun scope_descriptor_from_block block =
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   357
  fold_rev add_row_to_scope_descriptor block ([], [])
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fun scope_descriptor_from_combination (hol_ctxt as {thy, ...}) binarize blocks
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   359
                                      columns =
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  let
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   361
    val (card_assigns, max_assigns) =
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      maps project_block (columns ~~ blocks) |> scope_descriptor_from_block
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   363
    val card_assigns =
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      repair_card_assigns hol_ctxt binarize (card_assigns, max_assigns) |> the
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  in
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   366
    SOME (map (repair_iterator_assign thy card_assigns) card_assigns,
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          max_assigns)
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  end
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  handle Option.Option => NONE
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   370
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fun offset_table_for_card_assigns dtypes assigns =
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  let
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   373
    fun aux next _ [] = Typtab.update_new (dummyT, next)
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      | aux next reusable ((T, k) :: assigns) =
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        if k = 1 orelse is_asymmetric_nondatatype T then
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          aux next reusable assigns
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        else if length (these (Option.map #constrs (datatype_spec dtypes T)))
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                > 1 then
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          Typtab.update_new (T, next) #> aux (next + k) reusable assigns
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        else
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   381
          case AList.lookup (op =) reusable k of
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            SOME j0 => Typtab.update_new (T, j0) #> aux next reusable assigns
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          | NONE => Typtab.update_new (T, next)
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                    #> aux (next + k) ((k, next) :: reusable) assigns
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  in Typtab.empty |> aux 0 [] assigns end
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   386
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   387
fun domain_card max card_assigns =
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   388
  Integer.prod o map (bounded_card_of_type max max card_assigns) o binder_types
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   389
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   390
fun add_constr_spec (card_assigns, max_assigns) acyclic card sum_dom_cards
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   391
                    num_self_recs num_non_self_recs (self_rec, x as (_, T))
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   392
                    constrs =
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   393
  let
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   394
    val max = constr_max max_assigns x
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   395
    fun next_delta () = if null constrs then 0 else #epsilon (hd constrs)
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   396
    val {delta, epsilon, exclusive, total} =
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   397
      if max = 0 then
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   398
        let val delta = next_delta () in
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   399
          {delta = delta, epsilon = delta, exclusive = true, total = false}
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   400
        end
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   401
      else if num_self_recs > 0 then
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diff changeset
   402
        (if num_self_recs = 1 andalso num_non_self_recs = 1 then
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   403
           if self_rec then
d79308423aea optimize Nitpick's encoding for other datatypes than list that have a constant constructor like "Nil";
blanchet
parents: 35071
diff changeset
   404
             case constrs of
d79308423aea optimize Nitpick's encoding for other datatypes than list that have a constant constructor like "Nil";
blanchet
parents: 35071
diff changeset
   405
               [{delta = 0, epsilon = 1, exclusive = true, ...}] =>
d79308423aea optimize Nitpick's encoding for other datatypes than list that have a constant constructor like "Nil";
blanchet
parents: 35071
diff changeset
   406
               {delta = 1, epsilon = card, exclusive = true, total = false}
d79308423aea optimize Nitpick's encoding for other datatypes than list that have a constant constructor like "Nil";
blanchet
parents: 35071
diff changeset
   407
             | _ => raise SAME ()
d79308423aea optimize Nitpick's encoding for other datatypes than list that have a constant constructor like "Nil";
blanchet
parents: 35071
diff changeset
   408
           else
d79308423aea optimize Nitpick's encoding for other datatypes than list that have a constant constructor like "Nil";
blanchet
parents: 35071
diff changeset
   409
             if domain_card 2 card_assigns T = 1 then
38162
824e940a3dd0 minor symmetry breaking for codatatypes like llist
blanchet
parents: 38127
diff changeset
   410
               {delta = 0, epsilon = 1, exclusive = acyclic, total = acyclic}
35072
d79308423aea optimize Nitpick's encoding for other datatypes than list that have a constant constructor like "Nil";
blanchet
parents: 35071
diff changeset
   411
             else
d79308423aea optimize Nitpick's encoding for other datatypes than list that have a constant constructor like "Nil";
blanchet
parents: 35071
diff changeset
   412
               raise SAME ()
d79308423aea optimize Nitpick's encoding for other datatypes than list that have a constant constructor like "Nil";
blanchet
parents: 35071
diff changeset
   413
         else
d79308423aea optimize Nitpick's encoding for other datatypes than list that have a constant constructor like "Nil";
blanchet
parents: 35071
diff changeset
   414
           raise SAME ())
d79308423aea optimize Nitpick's encoding for other datatypes than list that have a constant constructor like "Nil";
blanchet
parents: 35071
diff changeset
   415
        handle SAME () =>
d79308423aea optimize Nitpick's encoding for other datatypes than list that have a constant constructor like "Nil";
blanchet
parents: 35071
diff changeset
   416
               {delta = 0, epsilon = card, exclusive = false, total = false}
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   417
      else if card = sum_dom_cards (card + 1) then
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   418
        let val delta = next_delta () in
34123
c4988215a691 distinguish better between "complete" (vs. incomplete) types and "concrete" (vs. abstract) types in Nitpick;
blanchet
parents: 34121
diff changeset
   419
          {delta = delta, epsilon = delta + domain_card card card_assigns T,
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   420
           exclusive = true, total = true}
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   421
        end
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   422
      else
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   423
        {delta = 0, epsilon = card,
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   424
         exclusive = (num_self_recs + num_non_self_recs = 1), total = false}
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   425
  in
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   426
    {const = x, delta = delta, epsilon = epsilon, exclusive = exclusive,
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   427
     explicit_max = max, total = total} :: constrs
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   428
  end
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   429
35385
29f81babefd7 improved precision of infinite "shallow" datatypes in Nitpick;
blanchet
parents: 35280
diff changeset
   430
fun has_exact_card hol_ctxt facto finitizable_dataTs card_assigns T =
34123
c4988215a691 distinguish better between "complete" (vs. incomplete) types and "concrete" (vs. abstract) types in Nitpick;
blanchet
parents: 34121
diff changeset
   431
  let val card = card_of_type card_assigns T in
35385
29f81babefd7 improved precision of infinite "shallow" datatypes in Nitpick;
blanchet
parents: 35280
diff changeset
   432
    card = bounded_exact_card_of_type hol_ctxt
29f81babefd7 improved precision of infinite "shallow" datatypes in Nitpick;
blanchet
parents: 35280
diff changeset
   433
               (if facto then finitizable_dataTs else []) (card + 1) 0
29f81babefd7 improved precision of infinite "shallow" datatypes in Nitpick;
blanchet
parents: 35280
diff changeset
   434
               card_assigns T
34123
c4988215a691 distinguish better between "complete" (vs. incomplete) types and "concrete" (vs. abstract) types in Nitpick;
blanchet
parents: 34121
diff changeset
   435
  end
c4988215a691 distinguish better between "complete" (vs. incomplete) types and "concrete" (vs. abstract) types in Nitpick;
blanchet
parents: 34121
diff changeset
   436
35220
2bcdae5f4fdb added support for nonstandard "nat"s to Nitpick and fixed bugs in binary "nat"s and "int"s
blanchet
parents: 35190
diff changeset
   437
fun datatype_spec_from_scope_descriptor (hol_ctxt as {thy, stds, ...}) binarize
35385
29f81babefd7 improved precision of infinite "shallow" datatypes in Nitpick;
blanchet
parents: 35280
diff changeset
   438
        deep_dataTs finitizable_dataTs (desc as (card_assigns, _)) (T, card) =
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   439
  let
34982
7b8c366e34a2 added support for nonstandard models to Nitpick (based on an idea by Koen Claessen) and did other fixes to Nitpick
blanchet
parents: 34936
diff changeset
   440
    val deep = member (op =) deep_dataTs T
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   441
    val co = is_codatatype thy T
35220
2bcdae5f4fdb added support for nonstandard "nat"s to Nitpick and fixed bugs in binary "nat"s and "int"s
blanchet
parents: 35190
diff changeset
   442
    val standard = is_standard_datatype thy stds T
35190
ce653cc27a94 make sure that Nitpick uses binary notation consistently if "binary_ints" is enabled
blanchet
parents: 35179
diff changeset
   443
    val xs = binarized_and_boxed_datatype_constrs hol_ctxt binarize T
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   444
    val self_recs = map (is_self_recursive_constr_type o snd) xs
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   445
    val (num_self_recs, num_non_self_recs) =
34123
c4988215a691 distinguish better between "complete" (vs. incomplete) types and "concrete" (vs. abstract) types in Nitpick;
blanchet
parents: 34121
diff changeset
   446
      List.partition I self_recs |> pairself length
38126
8031d099379a added manual symmetry breaking for datatypes
blanchet
parents: 38124
diff changeset
   447
    val self_rec = num_self_recs > 0
35385
29f81babefd7 improved precision of infinite "shallow" datatypes in Nitpick;
blanchet
parents: 35280
diff changeset
   448
    fun is_complete facto =
29f81babefd7 improved precision of infinite "shallow" datatypes in Nitpick;
blanchet
parents: 35280
diff changeset
   449
      has_exact_card hol_ctxt facto finitizable_dataTs card_assigns T
29f81babefd7 improved precision of infinite "shallow" datatypes in Nitpick;
blanchet
parents: 35280
diff changeset
   450
    fun is_concrete facto =
29f81babefd7 improved precision of infinite "shallow" datatypes in Nitpick;
blanchet
parents: 35280
diff changeset
   451
      is_word_type T orelse
29f81babefd7 improved precision of infinite "shallow" datatypes in Nitpick;
blanchet
parents: 35280
diff changeset
   452
      xs |> maps (binder_types o snd) |> maps binder_types
29f81babefd7 improved precision of infinite "shallow" datatypes in Nitpick;
blanchet
parents: 35280
diff changeset
   453
         |> forall (has_exact_card hol_ctxt facto finitizable_dataTs
29f81babefd7 improved precision of infinite "shallow" datatypes in Nitpick;
blanchet
parents: 35280
diff changeset
   454
                                   card_assigns)
29f81babefd7 improved precision of infinite "shallow" datatypes in Nitpick;
blanchet
parents: 35280
diff changeset
   455
    val complete = pair_from_fun is_complete
29f81babefd7 improved precision of infinite "shallow" datatypes in Nitpick;
blanchet
parents: 35280
diff changeset
   456
    val concrete = pair_from_fun is_concrete
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   457
    fun sum_dom_cards max =
34123
c4988215a691 distinguish better between "complete" (vs. incomplete) types and "concrete" (vs. abstract) types in Nitpick;
blanchet
parents: 34121
diff changeset
   458
      map (domain_card max card_assigns o snd) xs |> Integer.sum
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   459
    val constrs =
38162
824e940a3dd0 minor symmetry breaking for codatatypes like llist
blanchet
parents: 38127
diff changeset
   460
      fold_rev (add_constr_spec desc (not co andalso standard) card
824e940a3dd0 minor symmetry breaking for codatatypes like llist
blanchet
parents: 38127
diff changeset
   461
                                sum_dom_cards num_self_recs num_non_self_recs)
35072
d79308423aea optimize Nitpick's encoding for other datatypes than list that have a constant constructor like "Nil";
blanchet
parents: 35071
diff changeset
   462
               (sort (bool_ord o swap o pairself fst) (self_recs ~~ xs)) []
33558
a2db56854b83 optimized Nitpick's encoding and rendering of datatypes whose constructors don't appear in the problem
blanchet
parents: 33232
diff changeset
   463
  in
38126
8031d099379a added manual symmetry breaking for datatypes
blanchet
parents: 38124
diff changeset
   464
    {typ = T, card = card, co = co, standard = standard, self_rec = self_rec,
8031d099379a added manual symmetry breaking for datatypes
blanchet
parents: 38124
diff changeset
   465
     complete = complete, concrete = concrete, deep = deep, constrs = constrs}
33558
a2db56854b83 optimized Nitpick's encoding and rendering of datatypes whose constructors don't appear in the problem
blanchet
parents: 33232
diff changeset
   466
  end
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   467
37256
0dca1ec52999 thread along context instead of theory for typedef lookup
blanchet
parents: 36390
diff changeset
   468
fun scope_from_descriptor (hol_ctxt as {ctxt, stds, ...}) binarize deep_dataTs
36386
2132f15b366f Fruhjahrsputz: remove three mostly useless Nitpick options
blanchet
parents: 36385
diff changeset
   469
                          finitizable_dataTs (desc as (card_assigns, _)) =
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   470
  let
33558
a2db56854b83 optimized Nitpick's encoding and rendering of datatypes whose constructors don't appear in the problem
blanchet
parents: 33232
diff changeset
   471
    val datatypes =
35190
ce653cc27a94 make sure that Nitpick uses binary notation consistently if "binary_ints" is enabled
blanchet
parents: 35179
diff changeset
   472
      map (datatype_spec_from_scope_descriptor hol_ctxt binarize deep_dataTs
35385
29f81babefd7 improved precision of infinite "shallow" datatypes in Nitpick;
blanchet
parents: 35280
diff changeset
   473
                                               finitizable_dataTs desc)
37256
0dca1ec52999 thread along context instead of theory for typedef lookup
blanchet
parents: 36390
diff changeset
   474
          (filter (is_datatype ctxt stds o fst) card_assigns)
34124
c4628a1dcf75 added support for binary nat/int representation to Nitpick
blanchet
parents: 34123
diff changeset
   475
    val bits = card_of_type card_assigns @{typ signed_bit} - 1
c4628a1dcf75 added support for binary nat/int representation to Nitpick
blanchet
parents: 34123
diff changeset
   476
               handle TYPE ("Nitpick_HOL.card_of_type", _, _) =>
c4628a1dcf75 added support for binary nat/int representation to Nitpick
blanchet
parents: 34123
diff changeset
   477
                      card_of_type card_assigns @{typ unsigned_bit}
c4628a1dcf75 added support for binary nat/int representation to Nitpick
blanchet
parents: 34123
diff changeset
   478
                      handle TYPE ("Nitpick_HOL.card_of_type", _, _) => 0
34123
c4988215a691 distinguish better between "complete" (vs. incomplete) types and "concrete" (vs. abstract) types in Nitpick;
blanchet
parents: 34121
diff changeset
   479
    val bisim_depth = card_of_type card_assigns @{typ bisim_iterator} - 1
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   480
  in
35190
ce653cc27a94 make sure that Nitpick uses binary notation consistently if "binary_ints" is enabled
blanchet
parents: 35179
diff changeset
   481
    {hol_ctxt = hol_ctxt, binarize = binarize, card_assigns = card_assigns,
ce653cc27a94 make sure that Nitpick uses binary notation consistently if "binary_ints" is enabled
blanchet
parents: 35179
diff changeset
   482
     datatypes = datatypes, bits = bits, bisim_depth = bisim_depth,
38124
6538e25cf5dd started implementation of custom sym break
blanchet
parents: 37678
diff changeset
   483
     ofs = offset_table_for_card_assigns datatypes card_assigns}
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   484
  end
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   485
35665
ff2bf50505ab added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents: 35385
diff changeset
   486
fun repair_cards_assigns_wrt_boxing_etc _ _ [] = []
ff2bf50505ab added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents: 35385
diff changeset
   487
  | repair_cards_assigns_wrt_boxing_etc thy Ts ((SOME T, ks) :: cards_assigns) =
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   488
    (if is_fun_type T orelse is_pair_type T then
35665
ff2bf50505ab added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents: 35385
diff changeset
   489
       Ts |> filter (curry (type_match thy o swap) T) |> map (rpair ks o SOME)
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   490
     else
35665
ff2bf50505ab added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents: 35385
diff changeset
   491
       [(SOME T, ks)]) @
ff2bf50505ab added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents: 35385
diff changeset
   492
       repair_cards_assigns_wrt_boxing_etc thy Ts cards_assigns
ff2bf50505ab added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents: 35385
diff changeset
   493
  | repair_cards_assigns_wrt_boxing_etc thy Ts ((NONE, ks) :: cards_assigns) =
ff2bf50505ab added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents: 35385
diff changeset
   494
    (NONE, ks) :: repair_cards_assigns_wrt_boxing_etc thy Ts cards_assigns
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   495
33580
45c33e97cb86 added datatype constructor cache in Nitpick (to speed up the scope enumeration) and never test more than 4096 scopes
blanchet
parents: 33558
diff changeset
   496
val max_scopes = 4096
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   497
val distinct_threshold = 512
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   498
36386
2132f15b366f Fruhjahrsputz: remove three mostly useless Nitpick options
blanchet
parents: 36385
diff changeset
   499
fun all_scopes (hol_ctxt as {thy, ...}) binarize cards_assigns maxes_assigns
2132f15b366f Fruhjahrsputz: remove three mostly useless Nitpick options
blanchet
parents: 36385
diff changeset
   500
               iters_assigns bitss bisim_depths mono_Ts nonmono_Ts deep_dataTs
2132f15b366f Fruhjahrsputz: remove three mostly useless Nitpick options
blanchet
parents: 36385
diff changeset
   501
               finitizable_dataTs =
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   502
  let
35665
ff2bf50505ab added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents: 35385
diff changeset
   503
    val cards_assigns = repair_cards_assigns_wrt_boxing_etc thy mono_Ts
ff2bf50505ab added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents: 35385
diff changeset
   504
                                                            cards_assigns
35190
ce653cc27a94 make sure that Nitpick uses binary notation consistently if "binary_ints" is enabled
blanchet
parents: 35179
diff changeset
   505
    val blocks = blocks_for_types hol_ctxt binarize cards_assigns maxes_assigns
34124
c4628a1dcf75 added support for binary nat/int representation to Nitpick
blanchet
parents: 34123
diff changeset
   506
                                  iters_assigns bitss bisim_depths mono_Ts
c4628a1dcf75 added support for binary nat/int representation to Nitpick
blanchet
parents: 34123
diff changeset
   507
                                  nonmono_Ts
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   508
    val ranks = map rank_of_block blocks
33580
45c33e97cb86 added datatype constructor cache in Nitpick (to speed up the scope enumeration) and never test more than 4096 scopes
blanchet
parents: 33558
diff changeset
   509
    val all = all_combinations_ordered_smartly (map (rpair 0) ranks)
33957
e9afca2118d4 normalized uncurry take/drop
haftmann
parents: 33955
diff changeset
   510
    val head = take max_scopes all
35190
ce653cc27a94 make sure that Nitpick uses binary notation consistently if "binary_ints" is enabled
blanchet
parents: 35179
diff changeset
   511
    val descs =
ce653cc27a94 make sure that Nitpick uses binary notation consistently if "binary_ints" is enabled
blanchet
parents: 35179
diff changeset
   512
      map_filter (scope_descriptor_from_combination hol_ctxt binarize blocks)
ce653cc27a94 make sure that Nitpick uses binary notation consistently if "binary_ints" is enabled
blanchet
parents: 35179
diff changeset
   513
                 head
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   514
  in
33580
45c33e97cb86 added datatype constructor cache in Nitpick (to speed up the scope enumeration) and never test more than 4096 scopes
blanchet
parents: 33558
diff changeset
   515
    (length all - length head,
45c33e97cb86 added datatype constructor cache in Nitpick (to speed up the scope enumeration) and never test more than 4096 scopes
blanchet
parents: 33558
diff changeset
   516
     descs |> length descs <= distinct_threshold ? distinct (op =)
36386
2132f15b366f Fruhjahrsputz: remove three mostly useless Nitpick options
blanchet
parents: 36385
diff changeset
   517
           |> map (scope_from_descriptor hol_ctxt binarize deep_dataTs
2132f15b366f Fruhjahrsputz: remove three mostly useless Nitpick options
blanchet
parents: 36385
diff changeset
   518
                                         finitizable_dataTs))
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   519
  end
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   520
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   521
end;