src/HOL/Tools/Nitpick/nitpick_nut.ML
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Tue, 07 Dec 2010 11:56:01 +0100
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simplified special handling of set products
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(*  Title:      HOL/Tools/Nitpick/nitpick_nut.ML
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    Author:     Jasmin Blanchette, TU Muenchen
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    Copyright   2008, 2009, 2010
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Nitpick underlying terms (nuts).
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*)
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signature NITPICK_NUT =
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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 scope = Nitpick_Scope.scope
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  type name_pool = Nitpick_Peephole.name_pool
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  type rep = Nitpick_Rep.rep
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  datatype cst =
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    False |
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    True |
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    Iden |
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    Num of int |
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    Unknown |
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    Unrep |
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    Suc |
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    Add |
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    Subtract |
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    Multiply |
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    Divide |
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    Gcd |
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    Lcm |
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    Fracs |
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    NormFrac |
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    NatToInt |
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    IntToNat
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  datatype op1 =
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    Not |
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    Finite |
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    Converse |
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    Closure |
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    SingletonSet |
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    IsUnknown |
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    SafeThe |
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    First |
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    Second |
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    Cast
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  datatype op2 =
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    All |
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    Exist |
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    Or |
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    And |
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    Less |
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    Subset |
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    DefEq |
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    Eq |
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    Triad |
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    Composition |
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    Image |
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    Apply |
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    Lambda
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  datatype op3 =
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    Let |
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    If
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  datatype nut =
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    Cst of cst * typ * rep |
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    Op1 of op1 * typ * rep * nut |
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    Op2 of op2 * typ * rep * nut * nut |
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    Op3 of op3 * typ * rep * nut * nut * nut |
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    Tuple of typ * rep * nut list |
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    Construct of nut list * typ * rep * nut list |
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    BoundName of int * typ * rep * string |
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    FreeName of string * typ * rep |
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    ConstName of string * typ * rep |
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    BoundRel of Kodkod.n_ary_index * typ * rep * string |
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    FreeRel of Kodkod.n_ary_index * typ * rep * string |
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    RelReg of int * typ * rep |
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    FormulaReg of int * typ * rep
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  structure NameTable : TABLE
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  exception NUT of string * nut list
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  val string_for_nut : Proof.context -> nut -> string
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  val inline_nut : nut -> bool
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  val type_of : nut -> typ
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  val rep_of : nut -> rep
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  val nickname_of : nut -> string
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  val is_skolem_name : nut -> bool
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  val is_eval_name : nut -> bool
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  val is_Cst : cst -> nut -> bool
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  val fold_nut : (nut -> 'a -> 'a) -> nut -> 'a -> 'a
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  val map_nut : (nut -> nut) -> nut -> nut
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  val untuple : (nut -> 'a) -> nut -> 'a list
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  val add_free_and_const_names :
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    nut -> nut list * nut list -> nut list * nut list
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  val name_ord : (nut * nut) -> order
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  val the_name : 'a NameTable.table -> nut -> 'a
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  val the_rel : nut NameTable.table -> nut -> Kodkod.n_ary_index
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  val nut_from_term : hol_context -> op2 -> term -> nut
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  val is_fully_representable_set : nut -> bool
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  val choose_reps_for_free_vars :
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    scope -> styp list -> nut list -> rep NameTable.table
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    -> nut list * rep NameTable.table
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  val choose_reps_for_consts :
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    scope -> bool -> nut list -> rep NameTable.table
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    -> nut list * rep NameTable.table
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  val choose_reps_for_all_sels :
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    scope -> rep NameTable.table -> nut list * rep NameTable.table
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  val choose_reps_in_nut :
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    scope -> bool -> rep NameTable.table -> bool -> nut -> nut
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  val rename_free_vars :
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    nut list -> name_pool -> nut NameTable.table
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    -> nut list * name_pool * nut NameTable.table
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  val rename_vars_in_nut : name_pool -> nut NameTable.table -> nut -> nut
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end;
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structure Nitpick_Nut : NITPICK_NUT =
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struct
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open Nitpick_Util
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open Nitpick_HOL
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open Nitpick_Scope
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open Nitpick_Peephole
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open Nitpick_Rep
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structure KK = Kodkod
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datatype cst =
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  False |
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  True |
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  Iden |
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  Num of int |
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  Unknown |
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  Unrep |
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  Suc |
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  Add |
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  Subtract |
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  Multiply |
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  Divide |
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  Gcd |
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  Lcm |
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  Fracs |
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  NormFrac |
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  NatToInt |
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  IntToNat
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datatype op1 =
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  Not |
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  Finite |
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  Converse |
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  Closure |
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  SingletonSet |
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  IsUnknown |
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  SafeThe |
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  First |
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  Second |
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  Cast
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datatype op2 =
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  All |
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  Exist |
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  Or |
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  And |
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  Less |
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  Subset |
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  DefEq |
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  Eq |
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  Triad |
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  Composition |
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  Image |
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  Apply |
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  Lambda
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datatype op3 =
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  Let |
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  If
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datatype nut =
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  Cst of cst * typ * rep |
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  Op1 of op1 * typ * rep * nut |
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  Op2 of op2 * typ * rep * nut * nut |
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  Op3 of op3 * typ * rep * nut * nut * nut |
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  Tuple of typ * rep * nut list |
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  Construct of nut list * typ * rep * nut list |
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  BoundName of int * typ * rep * string |
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  FreeName of string * typ * rep |
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  ConstName of string * typ * rep |
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  BoundRel of KK.n_ary_index * typ * rep * string |
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  FreeRel of KK.n_ary_index * typ * rep * string |
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  RelReg of int * typ * rep |
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  FormulaReg of int * typ * rep
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exception NUT of string * nut list
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fun string_for_cst False = "False"
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  | string_for_cst True = "True"
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  | string_for_cst Iden = "Iden"
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  | string_for_cst (Num j) = "Num " ^ signed_string_of_int j
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  | string_for_cst Unknown = "Unknown"
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  | string_for_cst Unrep = "Unrep"
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  | string_for_cst Suc = "Suc"
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  | string_for_cst Add = "Add"
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  | string_for_cst Subtract = "Subtract"
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  | string_for_cst Multiply = "Multiply"
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  | string_for_cst Divide = "Divide"
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  | string_for_cst Gcd = "Gcd"
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  | string_for_cst Lcm = "Lcm"
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  | string_for_cst Fracs = "Fracs"
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  | string_for_cst NormFrac = "NormFrac"
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  | string_for_cst NatToInt = "NatToInt"
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  | string_for_cst IntToNat = "IntToNat"
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fun string_for_op1 Not = "Not"
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  | string_for_op1 Finite = "Finite"
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  | string_for_op1 Converse = "Converse"
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  | string_for_op1 Closure = "Closure"
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  | string_for_op1 SingletonSet = "SingletonSet"
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  | string_for_op1 IsUnknown = "IsUnknown"
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  | string_for_op1 SafeThe = "SafeThe"
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  | string_for_op1 First = "First"
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  | string_for_op1 Second = "Second"
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  | string_for_op1 Cast = "Cast"
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fun string_for_op2 All = "All"
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  | string_for_op2 Exist = "Exist"
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  | string_for_op2 Or = "Or"
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  | string_for_op2 And = "And"
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  | string_for_op2 Less = "Less"
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  | string_for_op2 Subset = "Subset"
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  | string_for_op2 DefEq = "DefEq"
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  | string_for_op2 Eq = "Eq"
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  | string_for_op2 Triad = "Triad"
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  | string_for_op2 Composition = "Composition"
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  | string_for_op2 Image = "Image"
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  | string_for_op2 Apply = "Apply"
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  | string_for_op2 Lambda = "Lambda"
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fun string_for_op3 Let = "Let"
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  | string_for_op3 If = "If"
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fun basic_string_for_nut indent ctxt u =
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  let
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    val sub = basic_string_for_nut (indent + 1) ctxt
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  in
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    (if indent = 0 then "" else "\n" ^ implode (replicate (2 * indent) " ")) ^
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    "(" ^
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    (case u of
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       Cst (c, T, R) =>
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       "Cst " ^ string_for_cst c ^ " " ^ Syntax.string_of_typ ctxt T ^ " " ^
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       string_for_rep R
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     | Op1 (oper, T, R, u1) =>
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       "Op1 " ^ string_for_op1 oper ^ " " ^ Syntax.string_of_typ ctxt T ^ " " ^
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       string_for_rep R ^ " " ^ sub u1
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     | Op2 (oper, T, R, u1, u2) =>
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       "Op2 " ^ string_for_op2 oper ^ " " ^ Syntax.string_of_typ ctxt T ^ " " ^
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       string_for_rep R ^ " " ^ sub u1 ^ " " ^ sub u2
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     | Op3 (oper, T, R, u1, u2, u3) =>
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       "Op3 " ^ string_for_op3 oper ^ " " ^ Syntax.string_of_typ ctxt T ^ " " ^
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       string_for_rep R ^ " " ^ sub u1 ^ " " ^ sub u2 ^ " " ^ sub u3
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     | Tuple (T, R, us) =>
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       "Tuple " ^ Syntax.string_of_typ ctxt T ^ " " ^ string_for_rep R ^
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       implode (map sub us)
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     | Construct (us', T, R, us) =>
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       "Construct " ^ implode (map sub us') ^ " " ^
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       Syntax.string_of_typ ctxt T ^ " " ^ string_for_rep R ^ " " ^
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       implode (map sub us)
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     | BoundName (j, T, R, nick) =>
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       "BoundName " ^ signed_string_of_int j ^ " " ^
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       Syntax.string_of_typ ctxt T ^ " " ^ string_for_rep R ^ " " ^ nick
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     | FreeName (s, T, R) =>
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       "FreeName " ^ s ^ " " ^ Syntax.string_of_typ ctxt T ^ " " ^
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       string_for_rep R
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     | ConstName (s, T, R) =>
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       "ConstName " ^ s ^ " " ^ Syntax.string_of_typ ctxt T ^ " " ^
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       string_for_rep R
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     | BoundRel ((n, j), T, R, nick) =>
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       "BoundRel " ^ string_of_int n ^ "." ^ signed_string_of_int j ^ " " ^
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       Syntax.string_of_typ ctxt T ^ " " ^ string_for_rep R ^ " " ^ nick
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     | FreeRel ((n, j), T, R, nick) =>
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       "FreeRel " ^ string_of_int n ^ "." ^ signed_string_of_int j ^ " " ^
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       Syntax.string_of_typ ctxt T ^ " " ^ string_for_rep R ^ " " ^ nick
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     | RelReg (j, T, R) =>
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       "RelReg " ^ signed_string_of_int j ^ " " ^ Syntax.string_of_typ ctxt T ^
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       " " ^ string_for_rep R
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     | FormulaReg (j, T, R) =>
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       "FormulaReg " ^ signed_string_of_int j ^ " " ^
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       Syntax.string_of_typ ctxt T ^ " " ^ string_for_rep R) ^
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    ")"
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  end
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val string_for_nut = basic_string_for_nut 0
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   293
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   294
fun inline_nut (Op1 _) = false
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   295
  | inline_nut (Op2 _) = false
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   296
  | inline_nut (Op3 _) = false
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   297
  | inline_nut (Tuple (_, _, us)) = forall inline_nut us
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diff changeset
   298
  | inline_nut _ = true
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parents:
diff changeset
   299
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
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parents:
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   300
fun type_of (Cst (_, T, _)) = T
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parents:
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   301
  | type_of (Op1 (_, T, _, _)) = T
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
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parents:
diff changeset
   302
  | type_of (Op2 (_, T, _, _, _)) = T
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
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parents:
diff changeset
   303
  | type_of (Op3 (_, T, _, _, _, _)) = T
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
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parents:
diff changeset
   304
  | type_of (Tuple (T, _, _)) = T
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
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parents:
diff changeset
   305
  | type_of (Construct (_, T, _, _)) = T
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
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parents:
diff changeset
   306
  | type_of (BoundName (_, T, _, _)) = T
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
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parents:
diff changeset
   307
  | type_of (FreeName (_, T, _)) = T
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
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parents:
diff changeset
   308
  | type_of (ConstName (_, T, _)) = T
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
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parents:
diff changeset
   309
  | type_of (BoundRel (_, T, _, _)) = T
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
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parents:
diff changeset
   310
  | type_of (FreeRel (_, T, _, _)) = T
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
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parents:
diff changeset
   311
  | type_of (RelReg (_, T, _)) = T
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
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parents:
diff changeset
   312
  | type_of (FormulaReg (_, T, _)) = T
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
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parents:
diff changeset
   313
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
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parents:
diff changeset
   314
fun rep_of (Cst (_, _, R)) = R
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
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parents:
diff changeset
   315
  | rep_of (Op1 (_, _, R, _)) = R
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
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parents:
diff changeset
   316
  | rep_of (Op2 (_, _, R, _, _)) = R
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
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parents:
diff changeset
   317
  | rep_of (Op3 (_, _, R, _, _, _)) = R
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
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parents:
diff changeset
   318
  | rep_of (Tuple (_, R, _)) = R
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
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parents:
diff changeset
   319
  | rep_of (Construct (_, _, R, _)) = R
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
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parents:
diff changeset
   320
  | rep_of (BoundName (_, _, R, _)) = R
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
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parents:
diff changeset
   321
  | rep_of (FreeName (_, _, R)) = R
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
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parents:
diff changeset
   322
  | rep_of (ConstName (_, _, R)) = R
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   323
  | rep_of (BoundRel (_, _, R, _)) = R
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
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parents:
diff changeset
   324
  | rep_of (FreeRel (_, _, R, _)) = R
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
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parents:
diff changeset
   325
  | rep_of (RelReg (_, _, R)) = R
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
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parents:
diff changeset
   326
  | rep_of (FormulaReg (_, _, R)) = R
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
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parents:
diff changeset
   327
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
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parents:
diff changeset
   328
fun nickname_of (BoundName (_, _, _, nick)) = nick
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
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parents:
diff changeset
   329
  | nickname_of (FreeName (s, _, _)) = s
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
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parents:
diff changeset
   330
  | nickname_of (ConstName (s, _, _)) = s
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
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parents:
diff changeset
   331
  | nickname_of (BoundRel (_, _, _, nick)) = nick
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   332
  | nickname_of (FreeRel (_, _, _, nick)) = nick
33232
f93390060bbe internal renaming in Nitpick and fixed Kodkodi invokation on Linux;
blanchet
parents: 33192
diff changeset
   333
  | nickname_of u = raise NUT ("Nitpick_Nut.nickname_of", [u])
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
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parents:
diff changeset
   334
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
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parents:
diff changeset
   335
fun is_skolem_name u =
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
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parents:
diff changeset
   336
  space_explode name_sep (nickname_of u)
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
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parents:
diff changeset
   337
  |> exists (String.isPrefix skolem_prefix)
33232
f93390060bbe internal renaming in Nitpick and fixed Kodkodi invokation on Linux;
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parents: 33192
diff changeset
   338
  handle NUT ("Nitpick_Nut.nickname_of", _) => false
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
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parents:
diff changeset
   339
fun is_eval_name u =
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
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parents:
diff changeset
   340
  String.isPrefix eval_prefix (nickname_of u)
33232
f93390060bbe internal renaming in Nitpick and fixed Kodkodi invokation on Linux;
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parents: 33192
diff changeset
   341
  handle NUT ("Nitpick_Nut.nickname_of", _) => false
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
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parents:
diff changeset
   342
fun is_Cst cst (Cst (cst', _, _)) = (cst = cst')
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
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parents:
diff changeset
   343
  | is_Cst _ _ = false
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
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parents:
diff changeset
   344
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
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parents:
diff changeset
   345
fun fold_nut f u =
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
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parents:
diff changeset
   346
  case u of
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
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parents:
diff changeset
   347
    Op1 (_, _, _, u1) => fold_nut f u1
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
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parents:
diff changeset
   348
  | Op2 (_, _, _, u1, u2) => fold_nut f u1 #> fold_nut f u2
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
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parents:
diff changeset
   349
  | Op3 (_, _, _, u1, u2, u3) => fold_nut f u1 #> fold_nut f u2 #> fold_nut f u3
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
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parents:
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   350
  | Tuple (_, _, us) => fold (fold_nut f) us
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
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parents:
diff changeset
   351
  | Construct (us', _, _, us) => fold (fold_nut f) us #> fold (fold_nut f) us'
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
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parents:
diff changeset
   352
  | _ => f u
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   353
fun map_nut f u =
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
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parents:
diff changeset
   354
  case u of
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   355
    Op1 (oper, T, R, u1) => Op1 (oper, T, R, map_nut f u1)
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   356
  | Op2 (oper, T, R, u1, u2) => Op2 (oper, T, R, map_nut f u1, map_nut f u2)
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
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parents:
diff changeset
   357
  | Op3 (oper, T, R, u1, u2, u3) =>
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
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parents:
diff changeset
   358
    Op3 (oper, T, R, map_nut f u1, map_nut f u2, map_nut f u3)
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   359
  | Tuple (T, R, us) => Tuple (T, R, map (map_nut f) us)
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
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parents:
diff changeset
   360
  | Construct (us', T, R, us) =>
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   361
    Construct (map (map_nut f) us', T, R, map (map_nut f) us)
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
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parents:
diff changeset
   362
  | _ => f u
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   363
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   364
fun name_ord (BoundName (j1, _, _, _), BoundName (j2, _, _, _)) =
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
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parents:
diff changeset
   365
    int_ord (j1, j2)
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
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parents:
diff changeset
   366
  | name_ord (BoundName _, _) = LESS
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
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parents:
diff changeset
   367
  | name_ord (_, BoundName _) = GREATER
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
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parents:
diff changeset
   368
  | name_ord (FreeName (s1, T1, _), FreeName (s2, T2, _)) =
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   369
    (case fast_string_ord (s1, s2) of
35408
b48ab741683b modernized structure Term_Ord;
wenzelm
parents: 35385
diff changeset
   370
       EQUAL => Term_Ord.typ_ord (T1, T2)
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
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parents:
diff changeset
   371
     | ord => ord)
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
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parents:
diff changeset
   372
  | name_ord (FreeName _, _) = LESS
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
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parents:
diff changeset
   373
  | name_ord (_, FreeName _) = GREATER
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   374
  | name_ord (ConstName (s1, T1, _), ConstName (s2, T2, _)) =
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   375
    (case fast_string_ord (s1, s2) of
35408
b48ab741683b modernized structure Term_Ord;
wenzelm
parents: 35385
diff changeset
   376
       EQUAL => Term_Ord.typ_ord (T1, T2)
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
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parents:
diff changeset
   377
     | ord => ord)
33232
f93390060bbe internal renaming in Nitpick and fixed Kodkodi invokation on Linux;
blanchet
parents: 33192
diff changeset
   378
  | name_ord (u1, u2) = raise NUT ("Nitpick_Nut.name_ord", [u1, u2])
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
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parents:
diff changeset
   379
36913
0010f08e288e improve precision of set constructs in Nitpick
blanchet
parents: 36912
diff changeset
   380
fun num_occurrences_in_nut needle_u stack_u =
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
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parents:
diff changeset
   381
  fold_nut (fn u => if u = needle_u then Integer.add 1 else I) stack_u 0
36913
0010f08e288e improve precision of set constructs in Nitpick
blanchet
parents: 36912
diff changeset
   382
val is_subnut_of = not_equal 0 oo num_occurrences_in_nut
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   383
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   384
fun substitute_in_nut needle_u needle_u' =
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   385
  map_nut (fn u => if u = needle_u then needle_u' else u)
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   386
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   387
val add_free_and_const_names =
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   388
  fold_nut (fn u => case u of
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   389
                      FreeName _ => apfst (insert (op =) u)
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   390
                    | ConstName _ => apsnd (insert (op =) u)
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   391
                    | _ => I)
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   392
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   393
fun modify_name_rep (BoundName (j, T, _, nick)) R = BoundName (j, T, R, nick)
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   394
  | modify_name_rep (FreeName (s, T, _)) R = FreeName (s, T, R)
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   395
  | modify_name_rep (ConstName (s, T, _)) R = ConstName (s, T, R)
33232
f93390060bbe internal renaming in Nitpick and fixed Kodkodi invokation on Linux;
blanchet
parents: 33192
diff changeset
   396
  | modify_name_rep u _ = raise NUT ("Nitpick_Nut.modify_name_rep", [u])
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   397
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   398
structure NameTable = Table(type key = nut val ord = name_ord)
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   399
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   400
fun the_name table name =
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   401
  case NameTable.lookup table name of
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   402
    SOME u => u
33232
f93390060bbe internal renaming in Nitpick and fixed Kodkodi invokation on Linux;
blanchet
parents: 33192
diff changeset
   403
  | NONE => raise NUT ("Nitpick_Nut.the_name", [name])
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   404
fun the_rel table name =
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   405
  case the_name table name of
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   406
    FreeRel (x, _, _, _) => x
33232
f93390060bbe internal renaming in Nitpick and fixed Kodkodi invokation on Linux;
blanchet
parents: 33192
diff changeset
   407
  | u => raise NUT ("Nitpick_Nut.the_rel", [u])
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   408
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   409
fun mk_fst (_, Const (@{const_name Pair}, T) $ t1 $ _) = (domain_type T, t1)
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   410
  | mk_fst (T, t) =
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   411
    let val res_T = fst (HOLogic.dest_prodT T) in
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   412
      (res_T, Const (@{const_name fst}, T --> res_T) $ t)
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   413
    end
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   414
fun mk_snd (_, Const (@{const_name Pair}, T) $ _ $ t2) =
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   415
    (domain_type (range_type T), t2)
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   416
  | mk_snd (T, t) =
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   417
    let val res_T = snd (HOLogic.dest_prodT T) in
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   418
      (res_T, Const (@{const_name snd}, T --> res_T) $ t)
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   419
    end
38190
b02e204b613a get rid of all "optimizations" regarding "unit" and other cardinality-1 types
blanchet
parents: 38171
diff changeset
   420
fun factorize (z as (Type (@{type_name prod}, _), _)) =
35665
ff2bf50505ab added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents: 35408
diff changeset
   421
    maps factorize [mk_fst z, mk_snd z]
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   422
  | factorize z = [z]
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   423
39359
6f49c7fbb1b1 remove "fast_descs" option from Nitpick;
blanchet
parents: 39343
diff changeset
   424
fun nut_from_term (hol_ctxt as {thy, ctxt, stds, ...}) eq =
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   425
  let
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   426
    fun aux eq ss Ts t =
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   427
      let
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   428
        val sub = aux Eq ss Ts
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   429
        val sub' = aux eq ss Ts
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   430
        fun sub_abs s T = aux eq (s :: ss) (T :: Ts)
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   431
        fun sub_equals T t1 t2 =
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   432
          let
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   433
            val (binder_Ts, body_T) = strip_type (domain_type T)
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   434
            val n = length binder_Ts
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   435
          in
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   436
            if eq = Eq andalso n > 0 then
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   437
              let
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   438
                val t1 = incr_boundvars n t1
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   439
                val t2 = incr_boundvars n t2
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   440
                val xs = map Bound (n - 1 downto 0)
38864
4abe644fcea5 formerly unnamed infix equality now named HOL.eq
haftmann
parents: 38795
diff changeset
   441
                val equation = Const (@{const_name HOL.eq},
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   442
                                      body_T --> body_T --> bool_T)
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   443
                                   $ betapplys (t1, xs) $ betapplys (t2, xs)
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   444
                val t =
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   445
                  fold_rev (fn T => fn (t, j) =>
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   446
                               (Const (@{const_name All}, T --> bool_T)
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   447
                                $ Abs ("x" ^ nat_subscript j, T, t), j - 1))
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   448
                           binder_Ts (equation, n) |> fst
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   449
              in sub' t end
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   450
            else
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   451
              Op2 (eq, bool_T, Any, aux Eq ss Ts t1, aux Eq ss Ts t2)
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   452
          end
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   453
        fun do_quantifier quant s T t1 =
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   454
          let
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   455
            val bound_u = BoundName (length Ts, T, Any, s)
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   456
            val body_u = sub_abs s T t1
36913
0010f08e288e improve precision of set constructs in Nitpick
blanchet
parents: 36912
diff changeset
   457
          in Op2 (quant, bool_T, Any, bound_u, body_u) end
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   458
        fun do_apply t0 ts =
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   459
          let
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   460
            val (ts', t2) = split_last ts
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   461
            val t1 = list_comb (t0, ts')
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   462
            val T1 = fastype_of1 (Ts, t1)
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   463
          in Op2 (Apply, range_type T1, Any, sub t1, sub t2) end
35671
ed2c3830d881 improved Nitpick's precision for "card" and "setsum" + fix incorrect outcome code w.r.t. "bisim_depth = -1"
blanchet
parents: 35665
diff changeset
   464
        fun do_construct (x as (_, T)) ts =
35280
54ab4921f826 fixed a few bugs in Nitpick and removed unreferenced variables
blanchet
parents: 35220
diff changeset
   465
          case num_binder_types T - length ts of
54ab4921f826 fixed a few bugs in Nitpick and removed unreferenced variables
blanchet
parents: 35220
diff changeset
   466
            0 => Construct (map ((fn (s', T') => ConstName (s', T', Any))
54ab4921f826 fixed a few bugs in Nitpick and removed unreferenced variables
blanchet
parents: 35220
diff changeset
   467
                                  o nth_sel_for_constr x)
54ab4921f826 fixed a few bugs in Nitpick and removed unreferenced variables
blanchet
parents: 35220
diff changeset
   468
                                (~1 upto num_sels_for_constr_type T - 1),
54ab4921f826 fixed a few bugs in Nitpick and removed unreferenced variables
blanchet
parents: 35220
diff changeset
   469
                            body_type T, Any,
54ab4921f826 fixed a few bugs in Nitpick and removed unreferenced variables
blanchet
parents: 35220
diff changeset
   470
                            ts |> map (`(curry fastype_of1 Ts))
54ab4921f826 fixed a few bugs in Nitpick and removed unreferenced variables
blanchet
parents: 35220
diff changeset
   471
                               |> maps factorize |> map (sub o snd))
54ab4921f826 fixed a few bugs in Nitpick and removed unreferenced variables
blanchet
parents: 35220
diff changeset
   472
          | k => sub (eta_expand Ts t k)
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   473
      in
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   474
        case strip_comb t of
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   475
          (Const (@{const_name all}, _), [Abs (s, T, t1)]) =>
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   476
          do_quantifier All s T t1
35280
54ab4921f826 fixed a few bugs in Nitpick and removed unreferenced variables
blanchet
parents: 35220
diff changeset
   477
        | (t0 as Const (@{const_name all}, _), [t1]) =>
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   478
          sub' (t0 $ eta_expand Ts t1 1)
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   479
        | (Const (@{const_name "=="}, T), [t1, t2]) => sub_equals T t1 t2
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   480
        | (Const (@{const_name "==>"}, _), [t1, t2]) =>
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   481
          Op2 (Or, prop_T, Any, Op1 (Not, prop_T, Any, sub t1), sub' t2)
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   482
        | (Const (@{const_name Pure.conjunction}, _), [t1, t2]) =>
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   483
          Op2 (And, prop_T, Any, sub' t1, sub' t2)
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   484
        | (Const (@{const_name Trueprop}, _), [t1]) => sub' t1
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   485
        | (Const (@{const_name Not}, _), [t1]) =>
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   486
          (case sub t1 of
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   487
             Op1 (Not, _, _, u11) => u11
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   488
           | u1 => Op1 (Not, bool_T, Any, u1))
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   489
        | (Const (@{const_name False}, T), []) => Cst (False, T, Any)
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   490
        | (Const (@{const_name True}, T), []) => Cst (True, T, Any)
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   491
        | (Const (@{const_name All}, _), [Abs (s, T, t1)]) =>
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   492
          do_quantifier All s T t1
35280
54ab4921f826 fixed a few bugs in Nitpick and removed unreferenced variables
blanchet
parents: 35220
diff changeset
   493
        | (t0 as Const (@{const_name All}, _), [t1]) =>
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   494
          sub' (t0 $ eta_expand Ts t1 1)
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   495
        | (Const (@{const_name Ex}, _), [Abs (s, T, t1)]) =>
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   496
          do_quantifier Exist s T t1
35280
54ab4921f826 fixed a few bugs in Nitpick and removed unreferenced variables
blanchet
parents: 35220
diff changeset
   497
        | (t0 as Const (@{const_name Ex}, _), [t1]) =>
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   498
          sub' (t0 $ eta_expand Ts t1 1)
38864
4abe644fcea5 formerly unnamed infix equality now named HOL.eq
haftmann
parents: 38795
diff changeset
   499
        | (Const (@{const_name HOL.eq}, T), [t1]) =>
37476
0681e46b4022 optimized code generated for datatype cases + more;
blanchet
parents: 37266
diff changeset
   500
          Op1 (SingletonSet, range_type T, Any, sub t1)
38864
4abe644fcea5 formerly unnamed infix equality now named HOL.eq
haftmann
parents: 38795
diff changeset
   501
        | (Const (@{const_name HOL.eq}, T), [t1, t2]) => sub_equals T t1 t2
38795
848be46708dc formerly unnamed infix conjunction and disjunction now named HOL.conj and HOL.disj
haftmann
parents: 38786
diff changeset
   502
        | (Const (@{const_name HOL.conj}, _), [t1, t2]) =>
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   503
          Op2 (And, bool_T, Any, sub' t1, sub' t2)
38795
848be46708dc formerly unnamed infix conjunction and disjunction now named HOL.conj and HOL.disj
haftmann
parents: 38786
diff changeset
   504
        | (Const (@{const_name HOL.disj}, _), [t1, t2]) =>
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   505
          Op2 (Or, bool_T, Any, sub t1, sub t2)
38786
e46e7a9cb622 formerly unnamed infix impliciation now named HOL.implies
haftmann
parents: 38190
diff changeset
   506
        | (Const (@{const_name HOL.implies}, _), [t1, t2]) =>
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   507
          Op2 (Or, bool_T, Any, Op1 (Not, bool_T, Any, sub t1), sub' t2)
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   508
        | (Const (@{const_name If}, T), [t1, t2, t3]) =>
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   509
          Op3 (If, nth_range_type 3 T, Any, sub t1, sub t2, sub t3)
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   510
        | (Const (@{const_name Let}, T), [t1, Abs (s, T', t2)]) =>
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   511
          Op3 (Let, nth_range_type 2 T, Any, BoundName (length Ts, T', Any, s),
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   512
               sub t1, sub_abs s T' t2)
35280
54ab4921f826 fixed a few bugs in Nitpick and removed unreferenced variables
blanchet
parents: 35220
diff changeset
   513
        | (t0 as Const (@{const_name Let}, _), [t1, t2]) =>
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   514
          sub (t0 $ t1 $ eta_expand Ts t2 1)
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   515
        | (Const (@{const_name Pair}, T), [t1, t2]) =>
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   516
          Tuple (nth_range_type 2 T, Any, map sub [t1, t2])
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   517
        | (Const (@{const_name fst}, T), [t1]) =>
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   518
          Op1 (First, range_type T, Any, sub t1)
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   519
        | (Const (@{const_name snd}, T), [t1]) =>
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   520
          Op1 (Second, range_type T, Any, sub t1)
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   521
        | (Const (@{const_name Id}, T), []) => Cst (Iden, T, Any)
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   522
        | (Const (@{const_name converse}, T), [t1]) =>
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   523
          Op1 (Converse, range_type T, Any, sub t1)
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   524
        | (Const (@{const_name trancl}, T), [t1]) =>
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   525
          Op1 (Closure, range_type T, Any, sub t1)
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   526
        | (Const (@{const_name rel_comp}, T), [t1, t2]) =>
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   527
          Op2 (Composition, nth_range_type 2 T, Any, sub t1, sub t2)
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   528
        | (Const (@{const_name image}, T), [t1, t2]) =>
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   529
          Op2 (Image, nth_range_type 2 T, Any, sub t1, sub t2)
35280
54ab4921f826 fixed a few bugs in Nitpick and removed unreferenced variables
blanchet
parents: 35220
diff changeset
   530
        | (Const (x as (s as @{const_name Suc}, T)), []) =>
39359
6f49c7fbb1b1 remove "fast_descs" option from Nitpick;
blanchet
parents: 39343
diff changeset
   531
          if is_built_in_const thy stds x then Cst (Suc, T, Any)
37256
0dca1ec52999 thread along context instead of theory for typedef lookup
blanchet
parents: 36913
diff changeset
   532
          else if is_constr ctxt stds x then do_construct x []
35280
54ab4921f826 fixed a few bugs in Nitpick and removed unreferenced variables
blanchet
parents: 35220
diff changeset
   533
          else ConstName (s, T, Any)
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   534
        | (Const (@{const_name finite}, T), [t1]) =>
35070
96136eb6218f split "nitpick_hol.ML" into two files to make it more manageable;
blanchet
parents: 34982
diff changeset
   535
          (if is_finite_type hol_ctxt (domain_type T) then
33877
e779bea3d337 fix Nitpick soundness bug related to "finite (UNIV::'a set)" where "'a" is constrained by a sort to be infinite
blanchet
parents: 33853
diff changeset
   536
             Cst (True, bool_T, Any)
e779bea3d337 fix Nitpick soundness bug related to "finite (UNIV::'a set)" where "'a" is constrained by a sort to be infinite
blanchet
parents: 33853
diff changeset
   537
           else case t1 of
e779bea3d337 fix Nitpick soundness bug related to "finite (UNIV::'a set)" where "'a" is constrained by a sort to be infinite
blanchet
parents: 33853
diff changeset
   538
             Const (@{const_name top}, _) => Cst (False, bool_T, Any)
e779bea3d337 fix Nitpick soundness bug related to "finite (UNIV::'a set)" where "'a" is constrained by a sort to be infinite
blanchet
parents: 33853
diff changeset
   539
           | _ => Op1 (Finite, bool_T, Any, sub t1))
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   540
        | (Const (@{const_name nat}, T), []) => Cst (IntToNat, T, Any)
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
   541
        | (Const (x as (s as @{const_name zero_class.zero}, T)), []) =>
39359
6f49c7fbb1b1 remove "fast_descs" option from Nitpick;
blanchet
parents: 39343
diff changeset
   542
          if is_built_in_const thy stds x then Cst (Num 0, T, Any)
37256
0dca1ec52999 thread along context instead of theory for typedef lookup
blanchet
parents: 36913
diff changeset
   543
          else if is_constr ctxt stds x then do_construct x []
35280
54ab4921f826 fixed a few bugs in Nitpick and removed unreferenced variables
blanchet
parents: 35220
diff changeset
   544
          else ConstName (s, T, Any)
35220
2bcdae5f4fdb added support for nonstandard "nat"s to Nitpick and fixed bugs in binary "nat"s and "int"s
blanchet
parents: 35190
diff changeset
   545
        | (Const (x as (s as @{const_name one_class.one}, T)), []) =>
39359
6f49c7fbb1b1 remove "fast_descs" option from Nitpick;
blanchet
parents: 39343
diff changeset
   546
          if is_built_in_const thy stds x then Cst (Num 1, T, Any)
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
   547
          else ConstName (s, T, Any)
2bcdae5f4fdb added support for nonstandard "nat"s to Nitpick and fixed bugs in binary "nat"s and "int"s
blanchet
parents: 35190
diff changeset
   548
        | (Const (x as (s as @{const_name plus_class.plus}, T)), []) =>
39359
6f49c7fbb1b1 remove "fast_descs" option from Nitpick;
blanchet
parents: 39343
diff changeset
   549
          if is_built_in_const thy stds x then Cst (Add, T, Any)
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
   550
          else ConstName (s, T, Any)
2bcdae5f4fdb added support for nonstandard "nat"s to Nitpick and fixed bugs in binary "nat"s and "int"s
blanchet
parents: 35190
diff changeset
   551
        | (Const (x as (s as @{const_name minus_class.minus}, T)), []) =>
39359
6f49c7fbb1b1 remove "fast_descs" option from Nitpick;
blanchet
parents: 39343
diff changeset
   552
          if is_built_in_const thy stds x then Cst (Subtract, T, Any)
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
   553
          else ConstName (s, T, Any)
2bcdae5f4fdb added support for nonstandard "nat"s to Nitpick and fixed bugs in binary "nat"s and "int"s
blanchet
parents: 35190
diff changeset
   554
        | (Const (x as (s as @{const_name times_class.times}, T)), []) =>
39359
6f49c7fbb1b1 remove "fast_descs" option from Nitpick;
blanchet
parents: 39343
diff changeset
   555
          if is_built_in_const thy stds x then Cst (Multiply, T, Any)
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
   556
          else ConstName (s, T, Any)
2bcdae5f4fdb added support for nonstandard "nat"s to Nitpick and fixed bugs in binary "nat"s and "int"s
blanchet
parents: 35190
diff changeset
   557
        | (Const (x as (s as @{const_name div_class.div}, T)), []) =>
39359
6f49c7fbb1b1 remove "fast_descs" option from Nitpick;
blanchet
parents: 39343
diff changeset
   558
          if is_built_in_const thy stds x then Cst (Divide, T, Any)
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
   559
          else ConstName (s, T, Any)
35280
54ab4921f826 fixed a few bugs in Nitpick and removed unreferenced variables
blanchet
parents: 35220
diff changeset
   560
        | (t0 as Const (x as (@{const_name ord_class.less}, _)),
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
   561
           ts as [t1, t2]) =>
39359
6f49c7fbb1b1 remove "fast_descs" option from Nitpick;
blanchet
parents: 39343
diff changeset
   562
          if is_built_in_const thy stds x then
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
   563
            Op2 (Less, bool_T, Any, sub t1, sub t2)
2bcdae5f4fdb added support for nonstandard "nat"s to Nitpick and fixed bugs in binary "nat"s and "int"s
blanchet
parents: 35190
diff changeset
   564
          else
2bcdae5f4fdb added support for nonstandard "nat"s to Nitpick and fixed bugs in binary "nat"s and "int"s
blanchet
parents: 35190
diff changeset
   565
            do_apply t0 ts
2bcdae5f4fdb added support for nonstandard "nat"s to Nitpick and fixed bugs in binary "nat"s and "int"s
blanchet
parents: 35190
diff changeset
   566
        | (Const (@{const_name ord_class.less_eq},
35665
ff2bf50505ab added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents: 35408
diff changeset
   567
                  Type (@{type_name fun},
ff2bf50505ab added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents: 35408
diff changeset
   568
                        [Type (@{type_name fun}, [_, @{typ bool}]), _])),
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
   569
           [t1, t2]) =>
2bcdae5f4fdb added support for nonstandard "nat"s to Nitpick and fixed bugs in binary "nat"s and "int"s
blanchet
parents: 35190
diff changeset
   570
          Op2 (Subset, bool_T, Any, sub t1, sub t2)
2bcdae5f4fdb added support for nonstandard "nat"s to Nitpick and fixed bugs in binary "nat"s and "int"s
blanchet
parents: 35190
diff changeset
   571
        (* FIXME: find out if this case is necessary *)
35280
54ab4921f826 fixed a few bugs in Nitpick and removed unreferenced variables
blanchet
parents: 35220
diff changeset
   572
        | (t0 as Const (x as (@{const_name ord_class.less_eq}, _)),
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
   573
           ts as [t1, t2]) =>
39359
6f49c7fbb1b1 remove "fast_descs" option from Nitpick;
blanchet
parents: 39343
diff changeset
   574
          if is_built_in_const thy stds x then
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
   575
            Op1 (Not, bool_T, Any, Op2 (Less, bool_T, Any, sub t2, sub t1))
2bcdae5f4fdb added support for nonstandard "nat"s to Nitpick and fixed bugs in binary "nat"s and "int"s
blanchet
parents: 35190
diff changeset
   576
          else
2bcdae5f4fdb added support for nonstandard "nat"s to Nitpick and fixed bugs in binary "nat"s and "int"s
blanchet
parents: 35190
diff changeset
   577
            do_apply t0 ts
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   578
        | (Const (@{const_name nat_gcd}, T), []) => Cst (Gcd, T, Any)
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   579
        | (Const (@{const_name nat_lcm}, T), []) => Cst (Lcm, T, Any)
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
   580
        | (Const (x as (s as @{const_name uminus_class.uminus}, T)), []) =>
39359
6f49c7fbb1b1 remove "fast_descs" option from Nitpick;
blanchet
parents: 39343
diff changeset
   581
          if is_built_in_const thy stds x then
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
   582
            let val num_T = domain_type T in
2bcdae5f4fdb added support for nonstandard "nat"s to Nitpick and fixed bugs in binary "nat"s and "int"s
blanchet
parents: 35190
diff changeset
   583
              Op2 (Apply, num_T --> num_T, Any,
2bcdae5f4fdb added support for nonstandard "nat"s to Nitpick and fixed bugs in binary "nat"s and "int"s
blanchet
parents: 35190
diff changeset
   584
                   Cst (Subtract, num_T --> num_T --> num_T, Any),
2bcdae5f4fdb added support for nonstandard "nat"s to Nitpick and fixed bugs in binary "nat"s and "int"s
blanchet
parents: 35190
diff changeset
   585
                   Cst (Num 0, num_T, Any))
2bcdae5f4fdb added support for nonstandard "nat"s to Nitpick and fixed bugs in binary "nat"s and "int"s
blanchet
parents: 35190
diff changeset
   586
            end
2bcdae5f4fdb added support for nonstandard "nat"s to Nitpick and fixed bugs in binary "nat"s and "int"s
blanchet
parents: 35190
diff changeset
   587
          else
2bcdae5f4fdb added support for nonstandard "nat"s to Nitpick and fixed bugs in binary "nat"s and "int"s
blanchet
parents: 35190
diff changeset
   588
            ConstName (s, T, Any)
34936
c4f04bee79f3 some work on Nitpick's support for quotient types;
blanchet
parents: 34288
diff changeset
   589
        | (Const (@{const_name unknown}, T), []) => Cst (Unknown, T, Any)
35280
54ab4921f826 fixed a few bugs in Nitpick and removed unreferenced variables
blanchet
parents: 35220
diff changeset
   590
        | (Const (@{const_name is_unknown}, _), [t1]) =>
34936
c4f04bee79f3 some work on Nitpick's support for quotient types;
blanchet
parents: 34288
diff changeset
   591
          Op1 (IsUnknown, bool_T, Any, sub t1)
35671
ed2c3830d881 improved Nitpick's precision for "card" and "setsum" + fix incorrect outcome code w.r.t. "bisim_depth = -1"
blanchet
parents: 35665
diff changeset
   592
        | (Const (@{const_name safe_The},
ed2c3830d881 improved Nitpick's precision for "card" and "setsum" + fix incorrect outcome code w.r.t. "bisim_depth = -1"
blanchet
parents: 35665
diff changeset
   593
                  Type (@{type_name fun}, [_, T2])), [t1]) =>
ed2c3830d881 improved Nitpick's precision for "card" and "setsum" + fix incorrect outcome code w.r.t. "bisim_depth = -1"
blanchet
parents: 35665
diff changeset
   594
          Op1 (SafeThe, T2, Any, sub t1)
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   595
        | (Const (@{const_name Frac}, T), []) => Cst (Fracs, T, Any)
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   596
        | (Const (@{const_name norm_frac}, T), []) => Cst (NormFrac, T, Any)
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   597
        | (Const (@{const_name of_nat}, T as @{typ "nat => int"}), []) =>
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   598
          Cst (NatToInt, T, Any)
34124
c4628a1dcf75 added support for binary nat/int representation to Nitpick
blanchet
parents: 34123
diff changeset
   599
        | (Const (@{const_name of_nat},
c4628a1dcf75 added support for binary nat/int representation to Nitpick
blanchet
parents: 34123
diff changeset
   600
                  T as @{typ "unsigned_bit word => signed_bit word"}), []) =>
c4628a1dcf75 added support for binary nat/int representation to Nitpick
blanchet
parents: 34123
diff changeset
   601
          Cst (NatToInt, T, Any)
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   602
        | (t0 as Const (x as (s, T)), ts) =>
37256
0dca1ec52999 thread along context instead of theory for typedef lookup
blanchet
parents: 36913
diff changeset
   603
          if is_constr ctxt stds x then
35671
ed2c3830d881 improved Nitpick's precision for "card" and "setsum" + fix incorrect outcome code w.r.t. "bisim_depth = -1"
blanchet
parents: 35665
diff changeset
   604
            do_construct x ts
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   605
          else if String.isPrefix numeral_prefix s then
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   606
            Cst (Num (the (Int.fromString (unprefix numeral_prefix s))), T, Any)
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   607
          else
39359
6f49c7fbb1b1 remove "fast_descs" option from Nitpick;
blanchet
parents: 39343
diff changeset
   608
            (case arity_of_built_in_const thy stds x of
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   609
               SOME n =>
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   610
               (case n - length ts of
33232
f93390060bbe internal renaming in Nitpick and fixed Kodkodi invokation on Linux;
blanchet
parents: 33192
diff changeset
   611
                  0 => raise TERM ("Nitpick_Nut.nut_from_term.aux", [t])
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   612
                | k => if k > 0 then sub (eta_expand Ts t k)
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   613
                       else do_apply t0 ts)
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   614
             | NONE => if null ts then ConstName (s, T, Any)
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   615
                       else do_apply t0 ts)
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   616
        | (Free (s, T), []) => FreeName (s, T, Any)
33877
e779bea3d337 fix Nitpick soundness bug related to "finite (UNIV::'a set)" where "'a" is constrained by a sort to be infinite
blanchet
parents: 33853
diff changeset
   617
        | (Var _, []) => raise TERM ("Nitpick_Nut.nut_from_term.aux", [t])
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   618
        | (Bound j, []) =>
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   619
          BoundName (length Ts - j - 1, nth Ts j, Any, nth ss j)
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   620
        | (Abs (s, T, t1), []) =>
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   621
          Op2 (Lambda, T --> fastype_of1 (T :: Ts, t1), Any,
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   622
               BoundName (length Ts, T, Any, s), sub_abs s T t1)
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   623
        | (t0, ts) => do_apply t0 ts
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   624
      end
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   625
  in aux eq [] [] end
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   626
37262
c0fe8fa35771 don't show spurious "..." in Nitpick's output for free variables of set type (e.g., P (op +) example from Manual_Nits.thy); undoes parts of 38ba15040455, which was too aggressive
blanchet
parents: 37256
diff changeset
   627
fun is_fully_representable_set u =
c0fe8fa35771 don't show spurious "..." in Nitpick's output for free variables of set type (e.g., P (op +) example from Manual_Nits.thy); undoes parts of 38ba15040455, which was too aggressive
blanchet
parents: 37256
diff changeset
   628
  not (is_opt_rep (rep_of u)) andalso
c0fe8fa35771 don't show spurious "..." in Nitpick's output for free variables of set type (e.g., P (op +) example from Manual_Nits.thy); undoes parts of 38ba15040455, which was too aggressive
blanchet
parents: 37256
diff changeset
   629
  case u of
c0fe8fa35771 don't show spurious "..." in Nitpick's output for free variables of set type (e.g., P (op +) example from Manual_Nits.thy); undoes parts of 38ba15040455, which was too aggressive
blanchet
parents: 37256
diff changeset
   630
    FreeName _ => true
c0fe8fa35771 don't show spurious "..." in Nitpick's output for free variables of set type (e.g., P (op +) example from Manual_Nits.thy); undoes parts of 38ba15040455, which was too aggressive
blanchet
parents: 37256
diff changeset
   631
  | Op1 (SingletonSet, _, _, _) => true
c0fe8fa35771 don't show spurious "..." in Nitpick's output for free variables of set type (e.g., P (op +) example from Manual_Nits.thy); undoes parts of 38ba15040455, which was too aggressive
blanchet
parents: 37256
diff changeset
   632
  | Op1 (Converse, _, _, u1) => is_fully_representable_set u1
39343
eac5f82eefb6 move equation up where it's not ignored
blanchet
parents: 38864
diff changeset
   633
  | Op2 (Lambda, _, _, _, Cst (False, _, _)) => true
eac5f82eefb6 move equation up where it's not ignored
blanchet
parents: 38864
diff changeset
   634
  | Op2 (oper, _, _, u1, _) =>
37476
0681e46b4022 optimized code generated for datatype cases + more;
blanchet
parents: 37266
diff changeset
   635
    if oper = Apply then
37262
c0fe8fa35771 don't show spurious "..." in Nitpick's output for free variables of set type (e.g., P (op +) example from Manual_Nits.thy); undoes parts of 38ba15040455, which was too aggressive
blanchet
parents: 37256
diff changeset
   636
      case u1 of
37266
773dc74118f6 improved precision of "set" based on an example from Lukas
blanchet
parents: 37262
diff changeset
   637
        ConstName (s, _, _) =>
773dc74118f6 improved precision of "set" based on an example from Lukas
blanchet
parents: 37262
diff changeset
   638
        is_sel_like_and_no_discr s orelse s = @{const_name set}
37262
c0fe8fa35771 don't show spurious "..." in Nitpick's output for free variables of set type (e.g., P (op +) example from Manual_Nits.thy); undoes parts of 38ba15040455, which was too aggressive
blanchet
parents: 37256
diff changeset
   639
      | _ => false
c0fe8fa35771 don't show spurious "..." in Nitpick's output for free variables of set type (e.g., P (op +) example from Manual_Nits.thy); undoes parts of 38ba15040455, which was too aggressive
blanchet
parents: 37256
diff changeset
   640
    else
c0fe8fa35771 don't show spurious "..." in Nitpick's output for free variables of set type (e.g., P (op +) example from Manual_Nits.thy); undoes parts of 38ba15040455, which was too aggressive
blanchet
parents: 37256
diff changeset
   641
      false
c0fe8fa35771 don't show spurious "..." in Nitpick's output for free variables of set type (e.g., P (op +) example from Manual_Nits.thy); undoes parts of 38ba15040455, which was too aggressive
blanchet
parents: 37256
diff changeset
   642
  | _ => false
c0fe8fa35771 don't show spurious "..." in Nitpick's output for free variables of set type (e.g., P (op +) example from Manual_Nits.thy); undoes parts of 38ba15040455, which was too aggressive
blanchet
parents: 37256
diff changeset
   643
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   644
fun rep_for_abs_fun scope T =
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   645
  let val (R1, R2) = best_non_opt_symmetric_reps_for_fun_type scope T in
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   646
    Func (R1, (card_of_rep R1 <> card_of_rep R2 ? Opt) R2)
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   647
  end
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   648
38170
d74b66ec02ce handle free variables even more gracefully;
blanchet
parents: 38126
diff changeset
   649
fun choose_rep_for_free_var scope pseudo_frees v (vs, table) =
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   650
  let
38170
d74b66ec02ce handle free variables even more gracefully;
blanchet
parents: 38126
diff changeset
   651
    val R = (if exists (curry (op =) (nickname_of v) o fst) pseudo_frees then
d74b66ec02ce handle free variables even more gracefully;
blanchet
parents: 38126
diff changeset
   652
               best_opt_set_rep_for_type
d74b66ec02ce handle free variables even more gracefully;
blanchet
parents: 38126
diff changeset
   653
             else
d74b66ec02ce handle free variables even more gracefully;
blanchet
parents: 38126
diff changeset
   654
               best_non_opt_set_rep_for_type) scope (type_of v)
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   655
    val v = modify_name_rep v R
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   656
  in (v :: vs, NameTable.update (v, R) table) end
37256
0dca1ec52999 thread along context instead of theory for typedef lookup
blanchet
parents: 36913
diff changeset
   657
fun choose_rep_for_const (scope as {hol_ctxt = {ctxt, ...}, ...}) all_exact v
35280
54ab4921f826 fixed a few bugs in Nitpick and removed unreferenced variables
blanchet
parents: 35220
diff changeset
   658
                         (vs, table) =
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   659
  let
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   660
    val x as (s, T) = (nickname_of v, type_of v)
37256
0dca1ec52999 thread along context instead of theory for typedef lookup
blanchet
parents: 36913
diff changeset
   661
    val R = (if is_abs_fun ctxt x then
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   662
               rep_for_abs_fun
37256
0dca1ec52999 thread along context instead of theory for typedef lookup
blanchet
parents: 36913
diff changeset
   663
             else if is_rep_fun ctxt x then
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   664
               Func oo best_non_opt_symmetric_reps_for_fun_type
34936
c4f04bee79f3 some work on Nitpick's support for quotient types;
blanchet
parents: 34288
diff changeset
   665
             else if all_exact orelse is_skolem_name v orelse
39360
cdf2c3341422 eliminate more clutter related to "fast_descrs" optimization
blanchet
parents: 39359
diff changeset
   666
                     member (op =) [@{const_name bisim},
cdf2c3341422 eliminate more clutter related to "fast_descrs" optimization
blanchet
parents: 39359
diff changeset
   667
                                    @{const_name bisim_iterator_max}]
cdf2c3341422 eliminate more clutter related to "fast_descrs" optimization
blanchet
parents: 39359
diff changeset
   668
                            (original_name s) then
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   669
               best_non_opt_set_rep_for_type
34121
5e831d805118 get rid of polymorphic equality in Nitpick's code + a few minor cleanups
blanchet
parents: 33982
diff changeset
   670
             else if member (op =) [@{const_name set}, @{const_name distinct},
5e831d805118 get rid of polymorphic equality in Nitpick's code + a few minor cleanups
blanchet
parents: 33982
diff changeset
   671
                                    @{const_name ord_class.less},
5e831d805118 get rid of polymorphic equality in Nitpick's code + a few minor cleanups
blanchet
parents: 33982
diff changeset
   672
                                    @{const_name ord_class.less_eq}]
39360
cdf2c3341422 eliminate more clutter related to "fast_descrs" optimization
blanchet
parents: 39359
diff changeset
   673
                            (original_name s) then
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   674
               best_set_rep_for_type
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   675
             else
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   676
               best_opt_set_rep_for_type) scope T
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   677
    val v = modify_name_rep v R
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   678
  in (v :: vs, NameTable.update (v, R) table) end
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   679
38170
d74b66ec02ce handle free variables even more gracefully;
blanchet
parents: 38126
diff changeset
   680
fun choose_reps_for_free_vars scope pseudo_frees vs table =
d74b66ec02ce handle free variables even more gracefully;
blanchet
parents: 38126
diff changeset
   681
  fold (choose_rep_for_free_var scope pseudo_frees) vs ([], table)
34123
c4988215a691 distinguish better between "complete" (vs. incomplete) types and "concrete" (vs. abstract) types in Nitpick;
blanchet
parents: 34121
diff changeset
   682
fun choose_reps_for_consts scope all_exact vs table =
c4988215a691 distinguish better between "complete" (vs. incomplete) types and "concrete" (vs. abstract) types in Nitpick;
blanchet
parents: 34121
diff changeset
   683
  fold (choose_rep_for_const scope all_exact) vs ([], table)
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   684
35190
ce653cc27a94 make sure that Nitpick uses binary notation consistently if "binary_ints" is enabled
blanchet
parents: 35185
diff changeset
   685
fun choose_rep_for_nth_sel_for_constr (scope as {hol_ctxt, binarize, ...})
ce653cc27a94 make sure that Nitpick uses binary notation consistently if "binary_ints" is enabled
blanchet
parents: 35185
diff changeset
   686
                                      (x as (_, T)) n (vs, table) =
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   687
  let
35190
ce653cc27a94 make sure that Nitpick uses binary notation consistently if "binary_ints" is enabled
blanchet
parents: 35185
diff changeset
   688
    val (s', T') = binarized_and_boxed_nth_sel_for_constr hol_ctxt binarize x n
34936
c4f04bee79f3 some work on Nitpick's support for quotient types;
blanchet
parents: 34288
diff changeset
   689
    val R' = if n = ~1 orelse is_word_type (body_type T) orelse
c4f04bee79f3 some work on Nitpick's support for quotient types;
blanchet
parents: 34288
diff changeset
   690
                (is_fun_type (range_type T') andalso
c4f04bee79f3 some work on Nitpick's support for quotient types;
blanchet
parents: 34288
diff changeset
   691
                 is_boolean_type (body_type T')) then
34124
c4628a1dcf75 added support for binary nat/int representation to Nitpick
blanchet
parents: 34123
diff changeset
   692
               best_non_opt_set_rep_for_type scope T'
c4628a1dcf75 added support for binary nat/int representation to Nitpick
blanchet
parents: 34123
diff changeset
   693
             else
c4628a1dcf75 added support for binary nat/int representation to Nitpick
blanchet
parents: 34123
diff changeset
   694
               best_opt_set_rep_for_type scope T' |> unopt_rep
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   695
    val v = ConstName (s', T', R')
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   696
  in (v :: vs, NameTable.update (v, R') table) end
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   697
fun choose_rep_for_sels_for_constr scope (x as (_, T)) =
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   698
  fold_rev (choose_rep_for_nth_sel_for_constr scope x)
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   699
           (~1 upto num_sels_for_constr_type T - 1)
38126
8031d099379a added manual symmetry breaking for datatypes
blanchet
parents: 37678
diff changeset
   700
fun choose_rep_for_sels_of_datatype _ ({deep = false, ...} : datatype_spec) = I
33558
a2db56854b83 optimized Nitpick's encoding and rendering of datatypes whose constructors don't appear in the problem
blanchet
parents: 33232
diff changeset
   701
  | choose_rep_for_sels_of_datatype scope {constrs, ...} =
a2db56854b83 optimized Nitpick's encoding and rendering of datatypes whose constructors don't appear in the problem
blanchet
parents: 33232
diff changeset
   702
    fold_rev (choose_rep_for_sels_for_constr scope o #const) constrs
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   703
fun choose_reps_for_all_sels (scope as {datatypes, ...}) =
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   704
  fold (choose_rep_for_sels_of_datatype scope) datatypes o pair []
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   705
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   706
fun choose_rep_for_bound_var scope v table =
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   707
  let val R = best_one_rep_for_type scope (type_of v) in
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   708
    NameTable.update (v, R) table
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   709
  end
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   710
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   711
(* A nut is said to be constructive if whenever it evaluates to unknown in our
36913
0010f08e288e improve precision of set constructs in Nitpick
blanchet
parents: 36912
diff changeset
   712
   three-valued logic, it would evaluate to an unrepresentable value ("Unrep")
33631
d3af5b21cbaf fixed soundness bug in Nitpick related to sets
blanchet
parents: 33571
diff changeset
   713
   according to the HOL semantics. For example, "Suc n" is constructive if "n"
35312
99cd1f96b400 improved precision of small sets in Nitpick
blanchet
parents: 35280
diff changeset
   714
   is representable or "Unrep", because unknown implies "Unrep". *)
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   715
fun is_constructive u =
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   716
  is_Cst Unrep u orelse
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   717
  (not (is_fun_type (type_of u)) andalso not (is_opt_rep (rep_of u))) orelse
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   718
  case u of
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   719
    Cst (Num _, _, _) => true
38171
5f2ea92319e0 fix soundness bug w.r.t. "Suc" with "binary_ints"
blanchet
parents: 38170
diff changeset
   720
  | Cst (cst, T, _) => body_type T = nat_T andalso (cst = Suc orelse cst = Add)
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   721
  | Op2 (Apply, _, _, u1, u2) => forall is_constructive [u1, u2]
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   722
  | Op3 (If, _, _, u1, u2, u3) =>
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   723
    not (is_opt_rep (rep_of u1)) andalso forall is_constructive [u2, u3]
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   724
  | Tuple (_, _, us) => forall is_constructive us
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   725
  | Construct (_, _, _, us) => forall is_constructive us
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   726
  | _ => false
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   727
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   728
fun unknown_boolean T R =
34936
c4f04bee79f3 some work on Nitpick's support for quotient types;
blanchet
parents: 34288
diff changeset
   729
  Cst (case R of Formula Pos => False | Formula Neg => True | _ => Unknown,
c4f04bee79f3 some work on Nitpick's support for quotient types;
blanchet
parents: 34288
diff changeset
   730
       T, R)
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   731
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   732
fun s_op1 oper T R u1 =
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   733
  ((if oper = Not then
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   734
      if is_Cst True u1 then Cst (False, T, R)
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   735
      else if is_Cst False u1 then Cst (True, T, R)
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   736
      else raise SAME ()
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   737
    else
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   738
      raise SAME ())
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   739
   handle SAME () => Op1 (oper, T, R, u1))
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   740
fun s_op2 oper T R u1 u2 =
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   741
  ((case oper of
36913
0010f08e288e improve precision of set constructs in Nitpick
blanchet
parents: 36912
diff changeset
   742
      All => if is_subnut_of u1 u2 then Op2 (All, T, R, u1, u2) else u2
0010f08e288e improve precision of set constructs in Nitpick
blanchet
parents: 36912
diff changeset
   743
    | Exist => if is_subnut_of u1 u2 then Op2 (Exist, T, R, u1, u2) else u2
0010f08e288e improve precision of set constructs in Nitpick
blanchet
parents: 36912
diff changeset
   744
    | Or =>
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   745
      if exists (is_Cst True) [u1, u2] then Cst (True, T, unopt_rep R)
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   746
      else if is_Cst False u1 then u2
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   747
      else if is_Cst False u2 then u1
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   748
      else raise SAME ()
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   749
    | And =>
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   750
      if exists (is_Cst False) [u1, u2] then Cst (False, T, unopt_rep R)
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   751
      else if is_Cst True u1 then u2
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   752
      else if is_Cst True u2 then u1
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   753
      else raise SAME ()
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   754
    | Eq =>
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   755
      (case pairself (is_Cst Unrep) (u1, u2) of
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   756
         (true, true) => unknown_boolean T R
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   757
       | (false, false) => raise SAME ()
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   758
       | _ => if forall (is_opt_rep o rep_of) [u1, u2] then raise SAME ()
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   759
              else Cst (False, T, Formula Neut))
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   760
    | Triad =>
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   761
      if is_Cst True u1 then u1
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   762
      else if is_Cst False u2 then u2
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   763
      else raise SAME ()
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   764
    | Apply =>
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   765
      if is_Cst Unrep u1 then
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   766
        Cst (Unrep, T, R)
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   767
      else if is_Cst Unrep u2 then
36913
0010f08e288e improve precision of set constructs in Nitpick
blanchet
parents: 36912
diff changeset
   768
        if is_boolean_type T then
35312
99cd1f96b400 improved precision of small sets in Nitpick
blanchet
parents: 35280
diff changeset
   769
          if is_fully_representable_set u1 then Cst (False, T, Formula Neut)
33631
d3af5b21cbaf fixed soundness bug in Nitpick related to sets
blanchet
parents: 33571
diff changeset
   770
          else unknown_boolean T R
36913
0010f08e288e improve precision of set constructs in Nitpick
blanchet
parents: 36912
diff changeset
   771
        else if is_constructive u1 then
0010f08e288e improve precision of set constructs in Nitpick
blanchet
parents: 36912
diff changeset
   772
          Cst (Unrep, T, R)
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   773
        else case u1 of
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   774
          Op2 (Apply, _, _, ConstName (@{const_name List.append}, _, _), _) =>
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   775
          Cst (Unrep, T, R)
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   776
        | _ => raise SAME ()
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   777
      else
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   778
        raise SAME ()
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   779
    | _ => raise SAME ())
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   780
   handle SAME () => Op2 (oper, T, R, u1, u2))
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   781
fun s_op3 oper T R u1 u2 u3 =
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   782
  ((case oper of
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   783
      Let =>
36913
0010f08e288e improve precision of set constructs in Nitpick
blanchet
parents: 36912
diff changeset
   784
      if inline_nut u2 orelse num_occurrences_in_nut u1 u3 < 2 then
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   785
        substitute_in_nut u1 u2 u3
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   786
      else
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   787
        raise SAME ()
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   788
    | _ => raise SAME ())
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   789
   handle SAME () => Op3 (oper, T, R, u1, u2, u3))
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   790
fun s_tuple T R us =
38190
b02e204b613a get rid of all "optimizations" regarding "unit" and other cardinality-1 types
blanchet
parents: 38171
diff changeset
   791
  if exists (is_Cst Unrep) us then Cst (Unrep, T, R) else Tuple (T, R, us)
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   792
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   793
fun untuple f (Tuple (_, _, us)) = maps (untuple f) us
38190
b02e204b613a get rid of all "optimizations" regarding "unit" and other cardinality-1 types
blanchet
parents: 38171
diff changeset
   794
  | untuple f u = [f u]
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   795
35280
54ab4921f826 fixed a few bugs in Nitpick and removed unreferenced variables
blanchet
parents: 35220
diff changeset
   796
fun choose_reps_in_nut (scope as {card_assigns, bits, datatypes, ofs, ...})
35185
9b8f351cced6 added yet another hint to Nitpick's output, this time warning about problems for which nothing was effectively tested
blanchet
parents: 35079
diff changeset
   797
                       unsound table def =
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   798
  let
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   799
    val bool_atom_R = Atom (2, offset_of_type ofs bool_T)
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   800
    fun bool_rep polar opt =
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   801
      if polar = Neut andalso opt then Opt bool_atom_R else Formula polar
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   802
    fun triad u1 u2 = s_op2 Triad (type_of u1) (Opt bool_atom_R) u1 u2
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   803
    fun triad_fn f = triad (f Pos) (f Neg)
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   804
    fun unrepify_nut_in_nut table def polar needle_u =
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   805
      let val needle_T = type_of needle_u in
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   806
        substitute_in_nut needle_u (Cst (if is_fun_type needle_T then Unknown
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   807
                                         else Unrep, needle_T, Any))
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   808
        #> aux table def polar
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   809
      end
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   810
    and aux table def polar u =
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   811
      let
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   812
        val gsub = aux table
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   813
        val sub = gsub false Neut
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   814
      in
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   815
        case u of
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   816
          Cst (False, T, _) => Cst (False, T, Formula Neut)
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   817
        | Cst (True, T, _) => Cst (True, T, Formula Neut)
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   818
        | Cst (Num j, T, _) =>
34124
c4628a1dcf75 added support for binary nat/int representation to Nitpick
blanchet
parents: 34123
diff changeset
   819
          if is_word_type T then
34126
8a2c5d7aff51 polished Nitpick's binary integer support etc.;
blanchet
parents: 34124
diff changeset
   820
            Cst (if is_twos_complement_representable bits j then Num j
8a2c5d7aff51 polished Nitpick's binary integer support etc.;
blanchet
parents: 34124
diff changeset
   821
                 else Unrep, T, best_opt_set_rep_for_type scope T)
34124
c4628a1dcf75 added support for binary nat/int representation to Nitpick
blanchet
parents: 34123
diff changeset
   822
          else
38190
b02e204b613a get rid of all "optimizations" regarding "unit" and other cardinality-1 types
blanchet
parents: 38171
diff changeset
   823
             let
b02e204b613a get rid of all "optimizations" regarding "unit" and other cardinality-1 types
blanchet
parents: 38171
diff changeset
   824
               val (k, j0) = spec_of_type scope T
b02e204b613a get rid of all "optimizations" regarding "unit" and other cardinality-1 types
blanchet
parents: 38171
diff changeset
   825
               val ok = (if T = int_T then atom_for_int (k, j0) j <> ~1
b02e204b613a get rid of all "optimizations" regarding "unit" and other cardinality-1 types
blanchet
parents: 38171
diff changeset
   826
                         else j < k)
b02e204b613a get rid of all "optimizations" regarding "unit" and other cardinality-1 types
blanchet
parents: 38171
diff changeset
   827
             in
b02e204b613a get rid of all "optimizations" regarding "unit" and other cardinality-1 types
blanchet
parents: 38171
diff changeset
   828
               if ok then Cst (Num j, T, Atom (k, j0))
b02e204b613a get rid of all "optimizations" regarding "unit" and other cardinality-1 types
blanchet
parents: 38171
diff changeset
   829
               else Cst (Unrep, T, Opt (Atom (k, j0)))
b02e204b613a get rid of all "optimizations" regarding "unit" and other cardinality-1 types
blanchet
parents: 38171
diff changeset
   830
             end
35665
ff2bf50505ab added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents: 35408
diff changeset
   831
        | Cst (Suc, T as Type (@{type_name fun}, [T1, _]), _) =>
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   832
          let val R = Atom (spec_of_type scope T1) in
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   833
            Cst (Suc, T, Func (R, Opt R))
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   834
          end
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   835
        | Cst (Fracs, T, _) =>
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   836
          Cst (Fracs, T, best_non_opt_set_rep_for_type scope T)
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   837
        | Cst (NormFrac, T, _) =>
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   838
          let val R1 = Atom (spec_of_type scope (domain_type T)) in
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   839
            Cst (NormFrac, T, Func (R1, Func (R1, Opt (Struct [R1, R1]))))
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   840
          end
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   841
        | Cst (cst, T, _) =>
34121
5e831d805118 get rid of polymorphic equality in Nitpick's code + a few minor cleanups
blanchet
parents: 33982
diff changeset
   842
          if cst = Unknown orelse cst = Unrep then
37483
4de0b0c38bdf make Nitpick's unsound mode a bit more unsound
blanchet
parents: 37476
diff changeset
   843
            case (is_boolean_type T, polar |> unsound ? flip_polarity) of
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   844
              (true, Pos) => Cst (False, T, Formula Pos)
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   845
            | (true, Neg) => Cst (True, T, Formula Neg)
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   846
            | _ => Cst (cst, T, best_opt_set_rep_for_type scope T)
34124
c4628a1dcf75 added support for binary nat/int representation to Nitpick
blanchet
parents: 34123
diff changeset
   847
          else if member (op =) [Add, Subtract, Multiply, Divide, Gcd, Lcm]
c4628a1dcf75 added support for binary nat/int representation to Nitpick
blanchet
parents: 34123
diff changeset
   848
                         cst then
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   849
            let
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   850
              val T1 = domain_type T
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   851
              val R1 = Atom (spec_of_type scope T1)
34936
c4f04bee79f3 some work on Nitpick's support for quotient types;
blanchet
parents: 34288
diff changeset
   852
              val total = T1 = nat_T andalso
c4f04bee79f3 some work on Nitpick's support for quotient types;
blanchet
parents: 34288
diff changeset
   853
                          (cst = Subtract orelse cst = Divide orelse cst = Gcd)
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   854
            in Cst (cst, T, Func (R1, Func (R1, (not total ? Opt) R1))) end
34121
5e831d805118 get rid of polymorphic equality in Nitpick's code + a few minor cleanups
blanchet
parents: 33982
diff changeset
   855
          else if cst = NatToInt orelse cst = IntToNat then
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   856
            let
34124
c4628a1dcf75 added support for binary nat/int representation to Nitpick
blanchet
parents: 34123
diff changeset
   857
              val (dom_card, dom_j0) = spec_of_type scope (domain_type T)
c4628a1dcf75 added support for binary nat/int representation to Nitpick
blanchet
parents: 34123
diff changeset
   858
              val (ran_card, ran_j0) = spec_of_type scope (range_type T)
34936
c4f04bee79f3 some work on Nitpick's support for quotient types;
blanchet
parents: 34288
diff changeset
   859
              val total = not (is_word_type (domain_type T)) andalso
c4f04bee79f3 some work on Nitpick's support for quotient types;
blanchet
parents: 34288
diff changeset
   860
                          (if cst = NatToInt then
c4f04bee79f3 some work on Nitpick's support for quotient types;
blanchet
parents: 34288
diff changeset
   861
                             max_int_for_card ran_card >= dom_card + 1
c4f04bee79f3 some work on Nitpick's support for quotient types;
blanchet
parents: 34288
diff changeset
   862
                           else
c4f04bee79f3 some work on Nitpick's support for quotient types;
blanchet
parents: 34288
diff changeset
   863
                             max_int_for_card dom_card < ran_card)
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   864
            in
34124
c4628a1dcf75 added support for binary nat/int representation to Nitpick
blanchet
parents: 34123
diff changeset
   865
              Cst (cst, T, Func (Atom (dom_card, dom_j0),
c4628a1dcf75 added support for binary nat/int representation to Nitpick
blanchet
parents: 34123
diff changeset
   866
                                 Atom (ran_card, ran_j0) |> not total ? Opt))
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   867
            end
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   868
          else
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   869
            Cst (cst, T, best_set_rep_for_type scope T)
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   870
        | Op1 (Not, T, _, u1) =>
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   871
          (case gsub def (flip_polarity polar) u1 of
35280
54ab4921f826 fixed a few bugs in Nitpick and removed unreferenced variables
blanchet
parents: 35220
diff changeset
   872
             Op2 (Triad, T, _, u11, u12) =>
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   873
             triad (s_op1 Not T (Formula Pos) u12)
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   874
                   (s_op1 Not T (Formula Neg) u11)
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   875
           | u1' => s_op1 Not T (flip_rep_polarity (rep_of u1')) u1')
34936
c4f04bee79f3 some work on Nitpick's support for quotient types;
blanchet
parents: 34288
diff changeset
   876
        | Op1 (IsUnknown, T, _, u1) =>
c4f04bee79f3 some work on Nitpick's support for quotient types;
blanchet
parents: 34288
diff changeset
   877
          let val u1 = sub u1 in
c4f04bee79f3 some work on Nitpick's support for quotient types;
blanchet
parents: 34288
diff changeset
   878
            if is_opt_rep (rep_of u1) then Op1 (IsUnknown, T, Formula Neut, u1)
c4f04bee79f3 some work on Nitpick's support for quotient types;
blanchet
parents: 34288
diff changeset
   879
            else Cst (False, T, Formula Neut)
c4f04bee79f3 some work on Nitpick's support for quotient types;
blanchet
parents: 34288
diff changeset
   880
          end
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   881
        | Op1 (oper, T, _, u1) =>
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   882
          let
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   883
            val u1 = sub u1
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   884
            val R1 = rep_of u1
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   885
            val R = case oper of
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   886
                      Finite => bool_rep polar (is_opt_rep R1)
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   887
                    | _ => (if is_opt_rep R1 then best_opt_set_rep_for_type
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   888
                            else best_non_opt_set_rep_for_type) scope T
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   889
          in s_op1 oper T R u1 end
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   890
        | Op2 (Less, T, _, u1, u2) =>
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   891
          let
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   892
            val u1 = sub u1
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   893
            val u2 = sub u2
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   894
            val R = bool_rep polar (exists (is_opt_rep o rep_of) [u1, u2])
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   895
          in s_op2 Less T R u1 u2 end
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   896
        | Op2 (Subset, T, _, u1, u2) =>
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   897
          let
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   898
            val u1 = sub u1
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   899
            val u2 = sub u2
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   900
            val opt = exists (is_opt_rep o rep_of) [u1, u2]
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   901
            val R = bool_rep polar opt
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   902
          in
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   903
            if is_opt_rep R then
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   904
              triad_fn (fn polar => s_op2 Subset T (Formula polar) u1 u2)
36912
55b97cb3806e produce more potential counterexamples for subset operator (cf. quantifiers)
blanchet
parents: 36385
diff changeset
   905
            else if not opt orelse unsound orelse polar = Neg orelse
55b97cb3806e produce more potential counterexamples for subset operator (cf. quantifiers)
blanchet
parents: 36385
diff changeset
   906
                    is_concrete_type datatypes true (type_of u1) then
55b97cb3806e produce more potential counterexamples for subset operator (cf. quantifiers)
blanchet
parents: 36385
diff changeset
   907
              s_op2 Subset T R u1 u2
55b97cb3806e produce more potential counterexamples for subset operator (cf. quantifiers)
blanchet
parents: 36385
diff changeset
   908
            else
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   909
              Cst (False, T, Formula Pos)
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   910
          end
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   911
        | Op2 (DefEq, T, _, u1, u2) =>
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   912
          s_op2 DefEq T (Formula Neut) (sub u1) (sub u2)
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   913
        | Op2 (Eq, T, _, u1, u2) =>
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   914
          let
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   915
            val u1' = sub u1
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   916
            val u2' = sub u2
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   917
            fun non_opt_case () = s_op2 Eq T (Formula polar) u1' u2'
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   918
            fun opt_opt_case () =
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   919
              if polar = Neut then
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   920
                triad_fn (fn polar => s_op2 Eq T (Formula polar) u1' u2')
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   921
              else
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   922
                non_opt_case ()
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   923
            fun hybrid_case u =
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   924
              (* hackish optimization *)
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   925
              if is_constructive u then s_op2 Eq T (Formula Neut) u1' u2'
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   926
              else opt_opt_case ()
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   927
          in
35185
9b8f351cced6 added yet another hint to Nitpick's output, this time warning about problems for which nothing was effectively tested
blanchet
parents: 35079
diff changeset
   928
            if unsound orelse polar = Neg orelse
35385
29f81babefd7 improved precision of infinite "shallow" datatypes in Nitpick;
blanchet
parents: 35312
diff changeset
   929
               is_concrete_type datatypes true (type_of u1) then
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   930
              case (is_opt_rep (rep_of u1'), is_opt_rep (rep_of u2')) of
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   931
                (true, true) => opt_opt_case ()
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   932
              | (true, false) => hybrid_case u1'
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   933
              | (false, true) => hybrid_case u2'
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   934
              | (false, false) => non_opt_case ()
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   935
            else
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   936
              Cst (False, T, Formula Pos)
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   937
              |> polar = Neut ? (fn pos_u => triad pos_u (gsub def Neg u))
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   938
          end
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   939
        | Op2 (Image, T, _, u1, u2) =>
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   940
          let
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   941
            val u1' = sub u1
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   942
            val u2' = sub u2
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   943
          in
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   944
            (case (rep_of u1', rep_of u2') of
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   945
               (Func (R11, R12), Func (R21, Formula Neut)) =>
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   946
               if R21 = R11 andalso is_lone_rep R12 then
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   947
                 let
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   948
                   val R =
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   949
                     best_non_opt_set_rep_for_type scope T
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   950
                     |> exists (is_opt_rep o rep_of) [u1', u2'] ? opt_rep ofs T
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   951
                 in s_op2 Image T R u1' u2' end
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   952
               else
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   953
                 raise SAME ()
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   954
             | _ => raise SAME ())
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   955
            handle SAME () =>
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   956
                   let
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   957
                     val T1 = type_of u1
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   958
                     val dom_T = domain_type T1
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   959
                     val ran_T = range_type T1
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   960
                     val x_u = BoundName (~1, dom_T, Any, "image.x")
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   961
                     val y_u = BoundName (~2, ran_T, Any, "image.y")
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   962
                   in
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   963
                     Op2 (Lambda, T, Any, y_u,
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   964
                          Op2 (Exist, bool_T, Any, x_u,
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   965
                               Op2 (And, bool_T, Any,
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   966
                                    case u2 of
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   967
                                      Op2 (Lambda, _, _, u21, u22) =>
36913
0010f08e288e improve precision of set constructs in Nitpick
blanchet
parents: 36912
diff changeset
   968
                                      if num_occurrences_in_nut u21 u22 = 0 then
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   969
                                        u22
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   970
                                      else
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   971
                                        Op2 (Apply, bool_T, Any, u2, x_u)
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   972
                                    | _ => Op2 (Apply, bool_T, Any, u2, x_u),
33571
3655e51f9958 minor cleanup in Nitpick
blanchet
parents: 33558
diff changeset
   973
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   974
                                    Op2 (Eq, bool_T, Any, y_u,
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   975
                                         Op2 (Apply, ran_T, Any, u1, x_u)))))
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   976
                     |> sub
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   977
                   end
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   978
          end
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   979
        | Op2 (Apply, T, _, u1, u2) =>
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   980
          let
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   981
            val u1 = sub u1
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   982
            val u2 = sub u2
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   983
            val T1 = type_of u1
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   984
            val R1 = rep_of u1
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   985
            val R2 = rep_of u2
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   986
            val opt =
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   987
              case (u1, is_opt_rep R2) of
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   988
                (ConstName (@{const_name set}, _, _), false) => false
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   989
              | _ => exists is_opt_rep [R1, R2]
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   990
            val ran_R =
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   991
              if is_boolean_type T then
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   992
                bool_rep polar opt
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   993
              else
36128
a3d8d5329438 make Nitpick output everything to tracing in debug mode;
blanchet
parents: 35671
diff changeset
   994
                lazy_range_rep ofs T1 (fn () => card_of_type card_assigns T)
a3d8d5329438 make Nitpick output everything to tracing in debug mode;
blanchet
parents: 35671
diff changeset
   995
                               (unopt_rep R1)
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   996
                |> opt ? opt_rep ofs T
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   997
          in s_op2 Apply T ran_R u1 u2 end
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   998
        | Op2 (Lambda, T, _, u1, u2) =>
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   999
          (case best_set_rep_for_type scope T of
38190
b02e204b613a get rid of all "optimizations" regarding "unit" and other cardinality-1 types
blanchet
parents: 38171
diff changeset
  1000
             R as Func (R1, _) =>
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1001
             let
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1002
               val table' = NameTable.update (u1, R1) table
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1003
               val u1' = aux table' false Neut u1
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1004
               val u2' = aux table' false Neut u2
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1005
               val R =
34936
c4f04bee79f3 some work on Nitpick's support for quotient types;
blanchet
parents: 34288
diff changeset
  1006
                 if is_opt_rep (rep_of u2') orelse
c4f04bee79f3 some work on Nitpick's support for quotient types;
blanchet
parents: 34288
diff changeset
  1007
                    (range_type T = bool_T andalso
c4f04bee79f3 some work on Nitpick's support for quotient types;
blanchet
parents: 34288
diff changeset
  1008
                     not (is_Cst False (unrepify_nut_in_nut table false Neut
36913
0010f08e288e improve precision of set constructs in Nitpick
blanchet
parents: 36912
diff changeset
  1009
                                                            u1 u2))) then
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1010
                   opt_rep ofs T R
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1011
                 else
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1012
                   unopt_rep R
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1013
             in s_op2 Lambda T R u1' u2' end
36913
0010f08e288e improve precision of set constructs in Nitpick
blanchet
parents: 36912
diff changeset
  1014
           | _ => raise NUT ("Nitpick_Nut.choose_reps_in_nut.aux", [u]))
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1015
        | Op2 (oper, T, _, u1, u2) =>
34121
5e831d805118 get rid of polymorphic equality in Nitpick's code + a few minor cleanups
blanchet
parents: 33982
diff changeset
  1016
          if oper = All orelse oper = Exist then
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1017
            let
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1018
              val table' = fold (choose_rep_for_bound_var scope) (untuple I u1)
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1019
                                table
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1020
              val u1' = aux table' def polar u1
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1021
              val u2' = aux table' def polar u2
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1022
            in
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1023
              if polar = Neut andalso is_opt_rep (rep_of u2') then
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1024
                triad_fn (fn polar => gsub def polar u)
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1025
              else
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1026
                let val quant_u = s_op2 oper T (Formula polar) u1' u2' in
34936
c4f04bee79f3 some work on Nitpick's support for quotient types;
blanchet
parents: 34288
diff changeset
  1027
                  if def orelse
35185
9b8f351cced6 added yet another hint to Nitpick's output, this time warning about problems for which nothing was effectively tested
blanchet
parents: 35079
diff changeset
  1028
                     (unsound andalso (polar = Pos) = (oper = All)) orelse
35385
29f81babefd7 improved precision of infinite "shallow" datatypes in Nitpick;
blanchet
parents: 35312
diff changeset
  1029
                     is_complete_type datatypes true (type_of u1) then
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1030
                    quant_u
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1031
                  else
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1032
                    let
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1033
                      val connective = if oper = All then And else Or
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1034
                      val unrepified_u = unrepify_nut_in_nut table def polar
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1035
                                                             u1 u2
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1036
                    in
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1037
                      s_op2 connective T
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1038
                            (min_rep (rep_of quant_u) (rep_of unrepified_u))
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1039
                            quant_u unrepified_u
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1040
                    end
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1041
                end
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1042
            end
34121
5e831d805118 get rid of polymorphic equality in Nitpick's code + a few minor cleanups
blanchet
parents: 33982
diff changeset
  1043
          else if oper = Or orelse oper = And then
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1044
            let
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1045
              val u1' = gsub def polar u1
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1046
              val u2' = gsub def polar u2
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1047
            in
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1048
              (if polar = Neut then
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1049
                 case (is_opt_rep (rep_of u1'), is_opt_rep (rep_of u2')) of
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1050
                   (true, true) => triad_fn (fn polar => gsub def polar u)
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1051
                 | (true, false) =>
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1052
                   s_op2 oper T (Opt bool_atom_R)
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1053
                         (triad_fn (fn polar => gsub def polar u1)) u2'
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1054
                 | (false, true) =>
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1055
                   s_op2 oper T (Opt bool_atom_R)
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1056
                         u1' (triad_fn (fn polar => gsub def polar u2))
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1057
                 | (false, false) => raise SAME ()
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1058
               else
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1059
                 raise SAME ())
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1060
              handle SAME () => s_op2 oper T (Formula polar) u1' u2'
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1061
            end
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1062
          else
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1063
            let
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1064
              val u1 = sub u1
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1065
              val u2 = sub u2
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1066
              val R =
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1067
                best_non_opt_set_rep_for_type scope T
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1068
                |> exists (is_opt_rep o rep_of) [u1, u2] ? opt_rep ofs T
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1069
            in s_op2 oper T R u1 u2 end
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1070
        | Op3 (Let, T, _, u1, u2, u3) =>
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1071
          let
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1072
            val u2 = sub u2
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1073
            val R2 = rep_of u2
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1074
            val table' = NameTable.update (u1, R2) table
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1075
            val u1 = modify_name_rep u1 R2
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1076
            val u3 = aux table' false polar u3
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1077
          in s_op3 Let T (rep_of u3) u1 u2 u3 end
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1078
        | Op3 (If, T, _, u1, u2, u3) =>
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1079
          let
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1080
            val u1 = sub u1
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1081
            val u2 = gsub def polar u2
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1082
            val u3 = gsub def polar u3
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1083
            val min_R = min_rep (rep_of u2) (rep_of u3)
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1084
            val R = min_R |> is_opt_rep (rep_of u1) ? opt_rep ofs T
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1085
          in s_op3 If T R u1 u2 u3 end
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1086
        | Tuple (T, _, us) =>
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1087
          let
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1088
            val Rs = map (best_one_rep_for_type scope o type_of) us
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1089
            val us = map sub us
38190
b02e204b613a get rid of all "optimizations" regarding "unit" and other cardinality-1 types
blanchet
parents: 38171
diff changeset
  1090
            val R' = Struct Rs
b02e204b613a get rid of all "optimizations" regarding "unit" and other cardinality-1 types
blanchet
parents: 38171
diff changeset
  1091
                     |> exists (is_opt_rep o rep_of) us ? opt_rep ofs T
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1092
          in s_tuple T R' us end
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1093
        | Construct (us', T, _, us) =>
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1094
          let
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1095
            val us = map sub us
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1096
            val Rs = map rep_of us
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1097
            val R = best_one_rep_for_type scope T
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1098
            val {total, ...} =
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1099
              constr_spec datatypes (original_name (nickname_of (hd us')), T)
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1100
            val opt = exists is_opt_rep Rs orelse not total
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1101
          in Construct (map sub us', T, R |> opt ? Opt, us) end
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1102
        | _ =>
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1103
          let val u = modify_name_rep u (the_name table u) in
34936
c4f04bee79f3 some work on Nitpick's support for quotient types;
blanchet
parents: 34288
diff changeset
  1104
            if polar = Neut orelse not (is_boolean_type (type_of u)) orelse
c4f04bee79f3 some work on Nitpick's support for quotient types;
blanchet
parents: 34288
diff changeset
  1105
               not (is_opt_rep (rep_of u)) then
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1106
              u
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
              s_op1 Cast (type_of u) (Formula polar) u
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1109
          end
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1110
      end
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1111
  in aux table def Pos end
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1112
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1113
fun fresh_n_ary_index n [] ys = (0, (n, 1) :: ys)
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1114
  | fresh_n_ary_index n ((m, j) :: xs) ys =
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1115
    if m = n then (j, ys @ ((m, j + 1) :: xs))
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1116
    else fresh_n_ary_index n xs ((m, j) :: ys)
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1117
fun fresh_rel n {rels, vars, formula_reg, rel_reg} =
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1118
  let val (j, rels') = fresh_n_ary_index n rels [] in
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1119
    (j, {rels = rels', vars = vars, formula_reg = formula_reg,
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1120
         rel_reg = rel_reg})
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1121
  end
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1122
fun fresh_var n {rels, vars, formula_reg, rel_reg} =
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1123
  let val (j, vars') = fresh_n_ary_index n vars [] in
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1124
    (j, {rels = rels, vars = vars', formula_reg = formula_reg,
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1125
         rel_reg = rel_reg})
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1126
  end
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1127
fun fresh_formula_reg {rels, vars, formula_reg, rel_reg} =
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1128
  (formula_reg, {rels = rels, vars = vars, formula_reg = formula_reg + 1,
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1129
                 rel_reg = rel_reg})
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1130
fun fresh_rel_reg {rels, vars, formula_reg, rel_reg} =
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1131
  (rel_reg, {rels = rels, vars = vars, formula_reg = formula_reg,
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1132
             rel_reg = rel_reg + 1})
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1133
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1134
fun rename_plain_var v (ws, pool, table) =
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1135
  let
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1136
    val is_formula = (rep_of v = Formula Neut)
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1137
    val fresh = if is_formula then fresh_formula_reg else fresh_rel_reg
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1138
    val (j, pool) = fresh pool
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1139
    val constr = if is_formula then FormulaReg else RelReg
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1140
    val w = constr (j, type_of v, rep_of v)
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1141
  in (w :: ws, pool, NameTable.update (v, w) table) end
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1142
38190
b02e204b613a get rid of all "optimizations" regarding "unit" and other cardinality-1 types
blanchet
parents: 38171
diff changeset
  1143
fun shape_tuple (T as Type (@{type_name prod}, [T1, T2])) (R as Struct [R1, R2])
35665
ff2bf50505ab added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents: 35408
diff changeset
  1144
                us =
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1145
    let val arity1 = arity_of_rep R1 in
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1146
      Tuple (T, R, [shape_tuple T1 R1 (List.take (us, arity1)),
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1147
                    shape_tuple T2 R2 (List.drop (us, arity1))])
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1148
    end
35665
ff2bf50505ab added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents: 35408
diff changeset
  1149
  | shape_tuple (T as Type (@{type_name fun}, [_, T2])) (R as Vect (k, R')) us =
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1150
    Tuple (T, R, map (shape_tuple T2 R') (batch_list (length us div k) us))
35280
54ab4921f826 fixed a few bugs in Nitpick and removed unreferenced variables
blanchet
parents: 35220
diff changeset
  1151
  | shape_tuple T _ [u] =
33232
f93390060bbe internal renaming in Nitpick and fixed Kodkodi invokation on Linux;
blanchet
parents: 33192
diff changeset
  1152
    if type_of u = T then u else raise NUT ("Nitpick_Nut.shape_tuple", [u])
f93390060bbe internal renaming in Nitpick and fixed Kodkodi invokation on Linux;
blanchet
parents: 33192
diff changeset
  1153
  | shape_tuple _ _ us = raise NUT ("Nitpick_Nut.shape_tuple", us)
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1154
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1155
fun rename_n_ary_var rename_free v (ws, pool, table) =
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1156
  let
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1157
    val T = type_of v
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1158
    val R = rep_of v
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1159
    val arity = arity_of_rep R
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1160
    val nick = nickname_of v
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1161
    val (constr, fresh) = if rename_free then (FreeRel, fresh_rel)
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1162
                          else (BoundRel, fresh_var)
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1163
  in
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1164
    if not rename_free andalso arity > 1 then
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1165
      let
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1166
        val atom_schema = atom_schema_of_rep R
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1167
        val type_schema = type_schema_of_rep T R
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1168
        val (js, pool) = funpow arity (fn (js, pool) =>
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1169
                                          let val (j, pool) = fresh 1 pool in
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1170
                                            (j :: js, pool)
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1171
                                          end)
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1172
                                ([], pool)
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1173
        val ws' = map3 (fn j => fn x => fn T =>
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1174
                           constr ((1, j), T, Atom x,
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1175
                                   nick ^ " [" ^ string_of_int j ^ "]"))
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1176
                       (rev js) atom_schema type_schema
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1177
      in (ws' @ ws, pool, NameTable.update (v, shape_tuple T R ws') table) end
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1178
    else
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1179
      let
34124
c4628a1dcf75 added support for binary nat/int representation to Nitpick
blanchet
parents: 34123
diff changeset
  1180
        val (j, pool) =
c4628a1dcf75 added support for binary nat/int representation to Nitpick
blanchet
parents: 34123
diff changeset
  1181
          case v of
c4628a1dcf75 added support for binary nat/int representation to Nitpick
blanchet
parents: 34123
diff changeset
  1182
            ConstName _ =>
c4628a1dcf75 added support for binary nat/int representation to Nitpick
blanchet
parents: 34123
diff changeset
  1183
            if is_sel_like_and_no_discr nick then
c4628a1dcf75 added support for binary nat/int representation to Nitpick
blanchet
parents: 34123
diff changeset
  1184
              case domain_type T of
c4628a1dcf75 added support for binary nat/int representation to Nitpick
blanchet
parents: 34123
diff changeset
  1185
                @{typ "unsigned_bit word"} =>
c4628a1dcf75 added support for binary nat/int representation to Nitpick
blanchet
parents: 34123
diff changeset
  1186
                (snd unsigned_bit_word_sel_rel, pool)
c4628a1dcf75 added support for binary nat/int representation to Nitpick
blanchet
parents: 34123
diff changeset
  1187
              | @{typ "signed_bit word"} => (snd signed_bit_word_sel_rel, pool)
c4628a1dcf75 added support for binary nat/int representation to Nitpick
blanchet
parents: 34123
diff changeset
  1188
              | _ => fresh arity pool
c4628a1dcf75 added support for binary nat/int representation to Nitpick
blanchet
parents: 34123
diff changeset
  1189
            else
c4628a1dcf75 added support for binary nat/int representation to Nitpick
blanchet
parents: 34123
diff changeset
  1190
              fresh arity pool
c4628a1dcf75 added support for binary nat/int representation to Nitpick
blanchet
parents: 34123
diff changeset
  1191
          | _ => fresh arity pool
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1192
        val w = constr ((arity, j), T, R, nick)
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1193
      in (w :: ws, pool, NameTable.update (v, w) table) end
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1194
  end
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1195
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1196
fun rename_free_vars vs pool table =
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1197
  let
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1198
    val (vs, pool, table) = fold (rename_n_ary_var true) vs ([], pool, table)
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1199
  in (rev vs, pool, table) end
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1200
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1201
fun rename_vars_in_nut pool table u =
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1202
  case u of
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1203
    Cst _ => u
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1204
  | Op1 (oper, T, R, u1) => Op1 (oper, T, R, rename_vars_in_nut pool table u1)
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1205
  | Op2 (oper, T, R, u1, u2) =>
34121
5e831d805118 get rid of polymorphic equality in Nitpick's code + a few minor cleanups
blanchet
parents: 33982
diff changeset
  1206
    if oper = All orelse oper = Exist orelse oper = Lambda then
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1207
      let
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1208
        val (_, pool, table) = fold (rename_n_ary_var false) (untuple I u1)
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1209
                                    ([], pool, table)
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1210
      in
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1211
        Op2 (oper, T, R, rename_vars_in_nut pool table u1,
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1212
             rename_vars_in_nut pool table u2)
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1213
      end
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1214
    else
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1215
      Op2 (oper, T, R, rename_vars_in_nut pool table u1,
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1216
           rename_vars_in_nut pool table u2)
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1217
  | Op3 (Let, T, R, u1, u2, u3) =>
38190
b02e204b613a get rid of all "optimizations" regarding "unit" and other cardinality-1 types
blanchet
parents: 38171
diff changeset
  1218
    if inline_nut u2 then
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1219
      let
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1220
        val u2 = rename_vars_in_nut pool table u2
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1221
        val table = NameTable.update (u1, u2) table
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1222
      in rename_vars_in_nut pool table u3 end
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1223
    else
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1224
      let
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1225
        val bs = untuple I u1
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1226
        val (_, pool, table') = fold rename_plain_var bs ([], pool, table)
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1227
      in
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1228
        Op3 (Let, T, R, rename_vars_in_nut pool table' u1,
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1229
             rename_vars_in_nut pool table u2,
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1230
             rename_vars_in_nut pool table' u3)
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1231
      end
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1232
  | Op3 (oper, T, R, u1, u2, u3) =>
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1233
    Op3 (oper, T, R, rename_vars_in_nut pool table u1,
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1234
         rename_vars_in_nut pool table u2, rename_vars_in_nut pool table u3)
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1235
  | Tuple (T, R, us) => Tuple (T, R, map (rename_vars_in_nut pool table) us)
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1236
  | Construct (us', T, R, us) =>
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1237
    Construct (map (rename_vars_in_nut pool table) us', T, R,
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1238
               map (rename_vars_in_nut pool table) us)
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1239
  | _ => the_name table u
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1240
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1241
end;