src/HOL/Tools/hologic.ML
author haftmann
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`set` is now a proper type constructor
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(*  Title:      HOL/Tools/hologic.ML
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    Author:     Lawrence C Paulson and Markus Wenzel
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Abstract syntax operations for HOL.
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*)
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signature HOLOGIC =
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sig
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  val typeS: sort
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  val typeT: typ
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  val id_const: typ -> term
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  val mk_comp: term * term -> term
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  val boolN: string
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  val boolT: typ
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  val Trueprop: term
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  val mk_Trueprop: term -> term
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  val dest_Trueprop: term -> term
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  val mk_induct_forall: typ -> term
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  val mk_setT: typ -> typ
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  val dest_setT: typ -> typ
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  val Collect_const: typ -> term
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  val mk_Collect: string * typ * term -> term
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  val mk_mem: term * term -> term
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  val dest_mem: term -> term * term
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  val mk_set: typ -> term list -> term
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  val dest_set: term -> term list
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  val mk_UNIV: typ -> term
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  val conj_intr: thm -> thm -> thm
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  val conj_elim: thm -> thm * thm
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  val conj_elims: thm -> thm list
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  val conj: term
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  val disj: term
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  val imp: term
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  val Not: term
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  val mk_conj: term * term -> term
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  val mk_disj: term * term -> term
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  val mk_imp: term * term -> term
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  val mk_not: term -> term
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  val dest_conj: term -> term list
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  val dest_disj: term -> term list
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  val disjuncts: term -> term list
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  val dest_imp: term -> term * term
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  val dest_not: term -> term
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  val eq_const: typ -> term
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  val mk_eq: term * term -> term
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  val dest_eq: term -> term * term
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  val all_const: typ -> term
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  val mk_all: string * typ * term -> term
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  val list_all: (string * typ) list * term -> term
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  val exists_const: typ -> term
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  val mk_exists: string * typ * term -> term
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  val choice_const: typ -> term
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  val class_equal: string
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  val mk_binop: string -> term * term -> term
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  val mk_binrel: string -> term * term -> term
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  val dest_bin: string -> typ -> term -> term * term
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  val unitT: typ
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  val is_unitT: typ -> bool
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  val unit: term
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  val is_unit: term -> bool
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  val mk_prodT: typ * typ -> typ
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  val dest_prodT: typ -> typ * typ
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  val pair_const: typ -> typ -> term
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  val mk_prod: term * term -> term
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  val dest_prod: term -> term * term
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  val mk_fst: term -> term
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  val mk_snd: term -> term
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  val split_const: typ * typ * typ -> term
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  val mk_split: term -> term
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  val flatten_tupleT: typ -> typ list
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  val tupled_lambda: term -> term -> term
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  val mk_tupleT: typ list -> typ
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  val strip_tupleT: typ -> typ list
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  val mk_tuple: term list -> term
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  val strip_tuple: term -> term list
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  val mk_ptupleT: int list list -> typ list -> typ
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  val strip_ptupleT: int list list -> typ -> typ list
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  val flat_tupleT_paths: typ -> int list list
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  val mk_ptuple: int list list -> typ -> term list -> term
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  val strip_ptuple: int list list -> term -> term list
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  val flat_tuple_paths: term -> int list list
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  val mk_psplits: int list list -> typ -> typ -> term -> term
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  val strip_psplits: term -> term * typ list * int list list
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  val natT: typ
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  val zero: term
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  val is_zero: term -> bool
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  val mk_Suc: term -> term
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  val dest_Suc: term -> term
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  val Suc_zero: term
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  val mk_nat: int -> term
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  val dest_nat: term -> int
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  val class_size: string
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  val size_const: typ -> term
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  val code_numeralT: typ
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  val intT: typ
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  val pls_const: term
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  val min_const: term
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  val bit0_const: term
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  val bit1_const: term
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  val mk_bit: int -> term
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  val dest_bit: term -> int
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  val mk_numeral: int -> term
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  val dest_numeral: term -> int
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  val number_of_const: typ -> term
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  val add_numerals: term -> (term * typ) list -> (term * typ) list
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  val mk_number: typ -> int -> term
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  val dest_number: term -> typ * int
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  val realT: typ
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  val nibbleT: typ
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  val mk_nibble: int -> term
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  val dest_nibble: term -> int
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  val charT: typ
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  val mk_char: int -> term
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  val dest_char: term -> int
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  val listT: typ -> typ
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  val nil_const: typ -> term
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  val cons_const: typ -> term
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  val mk_list: typ -> term list -> term
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  val dest_list: term -> term list
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  val stringT: typ
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  val mk_string: string -> term
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  val dest_string: term -> string
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  val literalT: typ
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  val mk_literal: string -> term
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  val dest_literal: term -> string
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  val mk_typerep: typ -> term
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  val termT: typ
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  val term_of_const: typ -> term
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  val mk_term_of: typ -> term -> term
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  val reflect_term: term -> term
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  val mk_valtermify_app: string -> (string * typ) list -> typ -> term
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  val mk_return: typ -> typ -> term -> term
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  val mk_ST: ((term * typ) * (string * typ) option)  list -> term -> typ -> typ option * typ -> term
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  val mk_random: typ -> term -> term
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end;
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structure HOLogic: HOLOGIC =
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struct
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(* HOL syntax *)
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val typeS: sort = ["HOL.type"];
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val typeT = Type_Infer.anyT typeS;
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(* functions *)
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fun id_const T = Const ("Fun.id", T --> T);
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fun mk_comp (f, g) =
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  let
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    val fT = fastype_of f;
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    val gT = fastype_of g;
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    val compT = fT --> gT --> domain_type gT --> range_type fT;
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  in Const ("Fun.comp", compT) $ f $ g end;
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(* bool and set *)
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val boolN = "HOL.bool";
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val boolT = Type (boolN, []);
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fun mk_induct_forall T = Const ("HOL.induct_forall", (T --> boolT) --> boolT);
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fun mk_setT T = Type ("Set.set", [T]);
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fun dest_setT (Type ("Set.set", [T])) = T
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  | dest_setT T = raise TYPE ("dest_setT: set type expected", [T], []);
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fun mk_set T ts =
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  let
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    val sT = mk_setT T;
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    val empty = Const ("Orderings.bot_class.bot", sT);
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    fun insert t u = Const ("Set.insert", T --> sT --> sT) $ t $ u;
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  in fold_rev insert ts empty end;
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fun mk_UNIV T = Const ("Orderings.top_class.top", mk_setT T);
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fun dest_set (Const ("Orderings.bot_class.bot", _)) = []
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  | dest_set (Const ("Set.insert", _) $ t $ u) = t :: dest_set u
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  | dest_set t = raise TERM ("dest_set", [t]);
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fun Collect_const T = Const ("Set.Collect", (T --> boolT) --> mk_setT T);
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fun mk_Collect (a, T, t) = Collect_const T $ absfree (a, T) t;
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fun mk_mem (x, A) =
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  let val setT = fastype_of A in
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    Const ("Set.member", dest_setT setT --> setT --> boolT) $ x $ A
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  end;
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fun dest_mem (Const ("Set.member", _) $ x $ A) = (x, A)
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  | dest_mem t = raise TERM ("dest_mem", [t]);
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(* logic *)
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val Trueprop = Const ("HOL.Trueprop", boolT --> propT);
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fun mk_Trueprop P = Trueprop $ P;
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fun dest_Trueprop (Const ("HOL.Trueprop", _) $ P) = P
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  | dest_Trueprop t = raise TERM ("dest_Trueprop", [t]);
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fun conj_intr thP thQ =
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  let
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    val (P, Q) = pairself (Object_Logic.dest_judgment o Thm.cprop_of) (thP, thQ)
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      handle CTERM (msg, _) => raise THM (msg, 0, [thP, thQ]);
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    val inst = Thm.instantiate ([], [(@{cpat "?P::bool"}, P), (@{cpat "?Q::bool"}, Q)]);
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  in Drule.implies_elim_list (inst @{thm conjI}) [thP, thQ] end;
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fun conj_elim thPQ =
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  let
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    val (P, Q) = Thm.dest_binop (Object_Logic.dest_judgment (Thm.cprop_of thPQ))
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      handle CTERM (msg, _) => raise THM (msg, 0, [thPQ]);
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    val inst = Thm.instantiate ([], [(@{cpat "?P::bool"}, P), (@{cpat "?Q::bool"}, Q)]);
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    val thP = Thm.implies_elim (inst @{thm conjunct1}) thPQ;
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    val thQ = Thm.implies_elim (inst @{thm conjunct2}) thPQ;
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  in (thP, thQ) end;
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fun conj_elims th =
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  let val (th1, th2) = conj_elim th
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  in conj_elims th1 @ conj_elims th2 end handle THM _ => [th];
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val conj = @{term HOL.conj}
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and disj = @{term HOL.disj}
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and imp = @{term implies}
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and Not = @{term Not};
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fun mk_conj (t1, t2) = conj $ t1 $ t2
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and mk_disj (t1, t2) = disj $ t1 $ t2
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and mk_imp (t1, t2) = imp $ t1 $ t2
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and mk_not t = Not $ t;
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fun dest_conj (Const ("HOL.conj", _) $ t $ t') = t :: dest_conj t'
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  | dest_conj t = [t];
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fun dest_disj (Const ("HOL.disj", _) $ t $ t') = t :: dest_disj t'
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  | dest_disj t = [t];
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(*Like dest_disj, but flattens disjunctions however nested*)
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fun disjuncts_aux (Const ("HOL.disj", _) $ t $ t') disjs = disjuncts_aux t (disjuncts_aux t' disjs)
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  | disjuncts_aux t disjs = t::disjs;
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fun disjuncts t = disjuncts_aux t [];
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fun dest_imp (Const ("HOL.implies", _) $ A $ B) = (A, B)
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  | dest_imp  t = raise TERM ("dest_imp", [t]);
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fun dest_not (Const ("HOL.Not", _) $ t) = t
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  | dest_not t = raise TERM ("dest_not", [t]);
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fun eq_const T = Const ("HOL.eq", T --> T --> boolT);
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fun mk_eq (t, u) = eq_const (fastype_of t) $ t $ u;
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fun dest_eq (Const ("HOL.eq", _) $ lhs $ rhs) = (lhs, rhs)
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  | dest_eq t = raise TERM ("dest_eq", [t])
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fun all_const T = Const ("HOL.All", [T --> boolT] ---> boolT);
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fun mk_all (x, T, P) = all_const T $ absfree (x, T) P;
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fun list_all (xs, t) = fold_rev (fn (x, T) => fn P => all_const T $ Abs (x, T, P)) xs t;
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fun exists_const T = Const ("HOL.Ex", [T --> boolT] ---> boolT);
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fun mk_exists (x, T, P) = exists_const T $ absfree (x, T) P;
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fun choice_const T = Const("Hilbert_Choice.Eps", (T --> boolT) --> T);
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val class_equal = "HOL.equal";
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(* binary operations and relations *)
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fun mk_binop c (t, u) =
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  let val T = fastype_of t in
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    Const (c, [T, T] ---> T) $ t $ u
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  end;
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fun mk_binrel c (t, u) =
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  let val T = fastype_of t in
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    Const (c, [T, T] ---> boolT) $ t $ u
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  end;
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(*destruct the application of a binary operator. The dummyT case is a crude
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  way of handling polymorphic operators.*)
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fun dest_bin c T (tm as Const (c', Type ("fun", [T', _])) $ t $ u) =
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      if c = c' andalso (T=T' orelse T=dummyT) then (t, u)
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      else raise TERM ("dest_bin " ^ c, [tm])
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  | dest_bin c _ tm = raise TERM ("dest_bin " ^ c, [tm]);
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(* unit *)
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val unitT = Type ("Product_Type.unit", []);
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fun is_unitT (Type ("Product_Type.unit", [])) = true
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  | is_unitT _ = false;
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val unit = Const ("Product_Type.Unity", unitT);
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fun is_unit (Const ("Product_Type.Unity", _)) = true
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  | is_unit _ = false;
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(* prod *)
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fun mk_prodT (T1, T2) = Type ("Product_Type.prod", [T1, T2]);
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fun dest_prodT (Type ("Product_Type.prod", [T1, T2])) = (T1, T2)
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  | dest_prodT T = raise TYPE ("dest_prodT", [T], []);
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fun pair_const T1 T2 = Const ("Product_Type.Pair", [T1, T2] ---> mk_prodT (T1, T2));
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fun mk_prod (t1, t2) =
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  let val T1 = fastype_of t1 and T2 = fastype_of t2 in
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    pair_const T1 T2 $ t1 $ t2
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  end;
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fun dest_prod (Const ("Product_Type.Pair", _) $ t1 $ t2) = (t1, t2)
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  | dest_prod t = raise TERM ("dest_prod", [t]);
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fun mk_fst p =
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  let val pT = fastype_of p in
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    Const ("Product_Type.fst", pT --> fst (dest_prodT pT)) $ p
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  end;
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fun mk_snd p =
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  let val pT = fastype_of p in
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    Const ("Product_Type.snd", pT --> snd (dest_prodT pT)) $ p
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  end;
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   329
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fun split_const (A, B, C) =
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  Const ("Product_Type.prod.prod_case", (A --> B --> C) --> mk_prodT (A, B) --> C);
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fun mk_split t =
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  (case Term.fastype_of t of
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    T as (Type ("fun", [A, Type ("fun", [B, C])])) =>
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      Const ("Product_Type.prod.prod_case", T --> mk_prodT (A, B) --> C) $ t
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  | _ => raise TERM ("mk_split: bad body type", [t]));
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   338
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84b00be693b4 Moved most of the Prod_Syntax - stuff to HOLogic.
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(*Maps the type T1 * ... * Tn to [T1, ..., Tn], however nested*)
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fun flatten_tupleT (Type ("Product_Type.prod", [T1, T2])) = flatten_tupleT T1 @ flatten_tupleT T2
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  | flatten_tupleT T = [T];
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   342
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(*abstraction over nested tuples*)
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fun tupled_lambda (x as Free _) b = lambda x b
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  | tupled_lambda (x as Var _) b = lambda x b
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  | tupled_lambda (Const ("Product_Type.Pair", _) $ u $ v) b =
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      mk_split (tupled_lambda u (tupled_lambda v b))
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  | tupled_lambda (Const ("Product_Type.Unity", _)) b =
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      Abs ("x", unitT, b)
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  | tupled_lambda t _ = raise TERM ("tupled_lambda: bad tuple", [t]);
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(* tuples with right-fold structure *)
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fun mk_tupleT [] = unitT
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  | mk_tupleT Ts = foldr1 mk_prodT Ts;
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fun strip_tupleT (Type ("Product_Type.unit", [])) = []
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  | strip_tupleT (Type ("Product_Type.prod", [T1, T2])) = T1 :: strip_tupleT T2
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  | strip_tupleT T = [T];
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fun mk_tuple [] = unit
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  | mk_tuple ts = foldr1 mk_prod ts;
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   364
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   365
fun strip_tuple (Const ("Product_Type.Unity", _)) = []
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  | strip_tuple (Const ("Product_Type.Pair", _) $ t1 $ t2) = t1 :: strip_tuple t2
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  | strip_tuple t = [t];
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   369
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   370
(* tuples with specific arities
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   an "arity" of a tuple is a list of lists of integers,
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   373
   denoting paths to subterms that are pairs
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   374
*)
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   376
fun ptuple_err s = raise TERM (s ^ ": inconsistent use of nested products", []);
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   377
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   378
fun mk_ptupleT ps =
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   379
  let
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diff changeset
   380
    fun mk p Ts =
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54b64d4ad524 farewell to old-style mem infixes -- type inference in situations with mem_int and mem_string should provide enough information to resolve the type of (op =)
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   381
      if member (op =) ps p then
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parents: 23576
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   382
        let
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berghofe
parents: 23576
diff changeset
   383
          val (T, Ts') = mk (1::p) Ts;
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parents: 23576
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   384
          val (U, Ts'') = mk (2::p) Ts'
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berghofe
parents: 23576
diff changeset
   385
        in (mk_prodT (T, U), Ts'') end
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parents: 23576
diff changeset
   386
      else (hd Ts, tl Ts)
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parents: 23576
diff changeset
   387
  in fst o mk [] end;
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parents: 23576
diff changeset
   388
32342
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   389
fun strip_ptupleT ps =
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   390
  let
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54b64d4ad524 farewell to old-style mem infixes -- type inference in situations with mem_int and mem_string should provide enough information to resolve the type of (op =)
haftmann
parents: 35625
diff changeset
   391
    fun factors p T = if member (op =) ps p then (case T of
37676
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haftmann
parents: 37591
diff changeset
   392
        Type ("Product_Type.prod", [T1, T2]) =>
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haftmann
parents: 32264
diff changeset
   393
          factors (1::p) T1 @ factors (2::p) T2
32342
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parents: 32339
diff changeset
   394
      | _ => ptuple_err "strip_ptupleT") else [T]
32287
65d5c5b30747 cleaned up abstract tuple operations and named them consistently
haftmann
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diff changeset
   395
  in factors [] end;
65d5c5b30747 cleaned up abstract tuple operations and named them consistently
haftmann
parents: 32264
diff changeset
   396
65d5c5b30747 cleaned up abstract tuple operations and named them consistently
haftmann
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diff changeset
   397
val flat_tupleT_paths =
65d5c5b30747 cleaned up abstract tuple operations and named them consistently
haftmann
parents: 32264
diff changeset
   398
  let
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f433cb9caea4 "prod" and "sum" replace "*" and "+" respectively; qualified constants Set.member and Set.Collect
haftmann
parents: 37591
diff changeset
   399
    fun factors p (Type ("Product_Type.prod", [T1, T2])) =
32287
65d5c5b30747 cleaned up abstract tuple operations and named them consistently
haftmann
parents: 32264
diff changeset
   400
          p :: factors (1::p) T1 @ factors (2::p) T2
65d5c5b30747 cleaned up abstract tuple operations and named them consistently
haftmann
parents: 32264
diff changeset
   401
      | factors p _ = []
65d5c5b30747 cleaned up abstract tuple operations and named them consistently
haftmann
parents: 32264
diff changeset
   402
  in factors [] end;
65d5c5b30747 cleaned up abstract tuple operations and named them consistently
haftmann
parents: 32264
diff changeset
   403
32342
3fabf5b5fc83 path-sensitive tuple combinators carry a "p"(ath) prefix; combinators for standard right-fold tuples
haftmann
parents: 32339
diff changeset
   404
fun mk_ptuple ps =
32287
65d5c5b30747 cleaned up abstract tuple operations and named them consistently
haftmann
parents: 32264
diff changeset
   405
  let
65d5c5b30747 cleaned up abstract tuple operations and named them consistently
haftmann
parents: 32264
diff changeset
   406
    fun mk p T ts =
36692
54b64d4ad524 farewell to old-style mem infixes -- type inference in situations with mem_int and mem_string should provide enough information to resolve the type of (op =)
haftmann
parents: 35625
diff changeset
   407
      if member (op =) ps p then (case T of
37676
f433cb9caea4 "prod" and "sum" replace "*" and "+" respectively; qualified constants Set.member and Set.Collect
haftmann
parents: 37591
diff changeset
   408
          Type ("Product_Type.prod", [T1, T2]) =>
32287
65d5c5b30747 cleaned up abstract tuple operations and named them consistently
haftmann
parents: 32264
diff changeset
   409
            let
65d5c5b30747 cleaned up abstract tuple operations and named them consistently
haftmann
parents: 32264
diff changeset
   410
              val (t, ts') = mk (1::p) T1 ts;
65d5c5b30747 cleaned up abstract tuple operations and named them consistently
haftmann
parents: 32264
diff changeset
   411
              val (u, ts'') = mk (2::p) T2 ts'
65d5c5b30747 cleaned up abstract tuple operations and named them consistently
haftmann
parents: 32264
diff changeset
   412
            in (pair_const T1 T2 $ t $ u, ts'') end
32342
3fabf5b5fc83 path-sensitive tuple combinators carry a "p"(ath) prefix; combinators for standard right-fold tuples
haftmann
parents: 32339
diff changeset
   413
        | _ => ptuple_err "mk_ptuple")
32287
65d5c5b30747 cleaned up abstract tuple operations and named them consistently
haftmann
parents: 32264
diff changeset
   414
      else (hd ts, tl ts)
65d5c5b30747 cleaned up abstract tuple operations and named them consistently
haftmann
parents: 32264
diff changeset
   415
  in fst oo mk [] end;
65d5c5b30747 cleaned up abstract tuple operations and named them consistently
haftmann
parents: 32264
diff changeset
   416
32342
3fabf5b5fc83 path-sensitive tuple combinators carry a "p"(ath) prefix; combinators for standard right-fold tuples
haftmann
parents: 32339
diff changeset
   417
fun strip_ptuple ps =
32287
65d5c5b30747 cleaned up abstract tuple operations and named them consistently
haftmann
parents: 32264
diff changeset
   418
  let
36692
54b64d4ad524 farewell to old-style mem infixes -- type inference in situations with mem_int and mem_string should provide enough information to resolve the type of (op =)
haftmann
parents: 35625
diff changeset
   419
    fun dest p t = if member (op =) ps p then (case t of
37389
09467cdfa198 qualified type "*"; qualified constants Pair, fst, snd, split
haftmann
parents: 37387
diff changeset
   420
        Const ("Product_Type.Pair", _) $ t $ u =>
32287
65d5c5b30747 cleaned up abstract tuple operations and named them consistently
haftmann
parents: 32264
diff changeset
   421
          dest (1::p) t @ dest (2::p) u
32342
3fabf5b5fc83 path-sensitive tuple combinators carry a "p"(ath) prefix; combinators for standard right-fold tuples
haftmann
parents: 32339
diff changeset
   422
      | _ => ptuple_err "strip_ptuple") else [t]
32287
65d5c5b30747 cleaned up abstract tuple operations and named them consistently
haftmann
parents: 32264
diff changeset
   423
  in dest [] end;
65d5c5b30747 cleaned up abstract tuple operations and named them consistently
haftmann
parents: 32264
diff changeset
   424
65d5c5b30747 cleaned up abstract tuple operations and named them consistently
haftmann
parents: 32264
diff changeset
   425
val flat_tuple_paths =
65d5c5b30747 cleaned up abstract tuple operations and named them consistently
haftmann
parents: 32264
diff changeset
   426
  let
37389
09467cdfa198 qualified type "*"; qualified constants Pair, fst, snd, split
haftmann
parents: 37387
diff changeset
   427
    fun factors p (Const ("Product_Type.Pair", _) $ t $ u) =
32287
65d5c5b30747 cleaned up abstract tuple operations and named them consistently
haftmann
parents: 32264
diff changeset
   428
          p :: factors (1::p) t @ factors (2::p) u
65d5c5b30747 cleaned up abstract tuple operations and named them consistently
haftmann
parents: 32264
diff changeset
   429
      | factors p _ = []
65d5c5b30747 cleaned up abstract tuple operations and named them consistently
haftmann
parents: 32264
diff changeset
   430
  in factors [] end;
65d5c5b30747 cleaned up abstract tuple operations and named them consistently
haftmann
parents: 32264
diff changeset
   431
32342
3fabf5b5fc83 path-sensitive tuple combinators carry a "p"(ath) prefix; combinators for standard right-fold tuples
haftmann
parents: 32339
diff changeset
   432
(*In mk_psplits ps S T u, term u expects separate arguments for the factors of S,
32287
65d5c5b30747 cleaned up abstract tuple operations and named them consistently
haftmann
parents: 32264
diff changeset
   433
  with result type T.  The call creates a new term expecting one argument
65d5c5b30747 cleaned up abstract tuple operations and named them consistently
haftmann
parents: 32264
diff changeset
   434
  of type S.*)
32342
3fabf5b5fc83 path-sensitive tuple combinators carry a "p"(ath) prefix; combinators for standard right-fold tuples
haftmann
parents: 32339
diff changeset
   435
fun mk_psplits ps T T3 u =
32287
65d5c5b30747 cleaned up abstract tuple operations and named them consistently
haftmann
parents: 32264
diff changeset
   436
  let
65d5c5b30747 cleaned up abstract tuple operations and named them consistently
haftmann
parents: 32264
diff changeset
   437
    fun ap ((p, T) :: pTs) =
36692
54b64d4ad524 farewell to old-style mem infixes -- type inference in situations with mem_int and mem_string should provide enough information to resolve the type of (op =)
haftmann
parents: 35625
diff changeset
   438
          if member (op =) ps p then (case T of
37676
f433cb9caea4 "prod" and "sum" replace "*" and "+" respectively; qualified constants Set.member and Set.Collect
haftmann
parents: 37591
diff changeset
   439
              Type ("Product_Type.prod", [T1, T2]) =>
32287
65d5c5b30747 cleaned up abstract tuple operations and named them consistently
haftmann
parents: 32264
diff changeset
   440
                split_const (T1, T2, map snd pTs ---> T3) $
65d5c5b30747 cleaned up abstract tuple operations and named them consistently
haftmann
parents: 32264
diff changeset
   441
                  ap ((1::p, T1) :: (2::p, T2) :: pTs)
32342
3fabf5b5fc83 path-sensitive tuple combinators carry a "p"(ath) prefix; combinators for standard right-fold tuples
haftmann
parents: 32339
diff changeset
   442
            | _ => ptuple_err "mk_psplits")
32287
65d5c5b30747 cleaned up abstract tuple operations and named them consistently
haftmann
parents: 32264
diff changeset
   443
          else Abs ("x", T, ap pTs)
65d5c5b30747 cleaned up abstract tuple operations and named them consistently
haftmann
parents: 32264
diff changeset
   444
      | ap [] =
65d5c5b30747 cleaned up abstract tuple operations and named them consistently
haftmann
parents: 32264
diff changeset
   445
          let val k = length ps
65d5c5b30747 cleaned up abstract tuple operations and named them consistently
haftmann
parents: 32264
diff changeset
   446
          in list_comb (incr_boundvars (k + 1) u, map Bound (k downto 0)) end
65d5c5b30747 cleaned up abstract tuple operations and named them consistently
haftmann
parents: 32264
diff changeset
   447
  in ap [([], T)] end;
65d5c5b30747 cleaned up abstract tuple operations and named them consistently
haftmann
parents: 32264
diff changeset
   448
32342
3fabf5b5fc83 path-sensitive tuple combinators carry a "p"(ath) prefix; combinators for standard right-fold tuples
haftmann
parents: 32339
diff changeset
   449
val strip_psplits =
23745
28df61d931e2 New operations on tuples with specific arities.
berghofe
parents: 23576
diff changeset
   450
  let
34962
807f6ce0273d HOLogic.strip_psplits: types are ordered after syntactic appearance, not after corresponding de-Bruin index (closer correspondence to similar strip operations)
haftmann
parents: 33245
diff changeset
   451
    fun strip [] qs Ts t = (t, rev Ts, qs)
37591
d3daea901123 merged constants "split" and "prod_case"
haftmann
parents: 37389
diff changeset
   452
      | strip (p :: ps) qs Ts (Const ("Product_Type.prod.prod_case", _) $ t) =
23745
28df61d931e2 New operations on tuples with specific arities.
berghofe
parents: 23576
diff changeset
   453
          strip ((1 :: p) :: (2 :: p) :: ps) (p :: qs) Ts t
28df61d931e2 New operations on tuples with specific arities.
berghofe
parents: 23576
diff changeset
   454
      | strip (p :: ps) qs Ts (Abs (s, T, t)) = strip ps qs (T :: Ts) t
28df61d931e2 New operations on tuples with specific arities.
berghofe
parents: 23576
diff changeset
   455
      | strip (p :: ps) qs Ts t = strip ps qs
28df61d931e2 New operations on tuples with specific arities.
berghofe
parents: 23576
diff changeset
   456
          (hd (binder_types (fastype_of1 (Ts, t))) :: Ts)
28df61d931e2 New operations on tuples with specific arities.
berghofe
parents: 23576
diff changeset
   457
          (incr_boundvars 1 t $ Bound 0)
32287
65d5c5b30747 cleaned up abstract tuple operations and named them consistently
haftmann
parents: 32264
diff changeset
   458
  in strip [[]] [] [] end;
23745
28df61d931e2 New operations on tuples with specific arities.
berghofe
parents: 23576
diff changeset
   459
5207
wenzelm
parents: 5096
diff changeset
   460
wenzelm
parents: 5096
diff changeset
   461
(* nat *)
wenzelm
parents: 5096
diff changeset
   462
37387
3581483cca6c qualified types "+" and nat; qualified constants Ball, Bex, Suc, curry; modernized some specifications
haftmann
parents: 37145
diff changeset
   463
val natT = Type ("Nat.nat", []);
5207
wenzelm
parents: 5096
diff changeset
   464
35267
8dfd816713c6 moved remaning class operations from Algebras.thy to Groups.thy
haftmann
parents: 34974
diff changeset
   465
val zero = Const ("Groups.zero_class.zero", natT);
5207
wenzelm
parents: 5096
diff changeset
   466
35267
8dfd816713c6 moved remaning class operations from Algebras.thy to Groups.thy
haftmann
parents: 34974
diff changeset
   467
fun is_zero (Const ("Groups.zero_class.zero", _)) = true
5207
wenzelm
parents: 5096
diff changeset
   468
  | is_zero _ = false;
wenzelm
parents: 5096
diff changeset
   469
37387
3581483cca6c qualified types "+" and nat; qualified constants Ball, Bex, Suc, curry; modernized some specifications
haftmann
parents: 37145
diff changeset
   470
fun mk_Suc t = Const ("Nat.Suc", natT --> natT) $ t;
5207
wenzelm
parents: 5096
diff changeset
   471
37387
3581483cca6c qualified types "+" and nat; qualified constants Ball, Bex, Suc, curry; modernized some specifications
haftmann
parents: 37145
diff changeset
   472
fun dest_Suc (Const ("Nat.Suc", _) $ t) = t
5207
wenzelm
parents: 5096
diff changeset
   473
  | dest_Suc t = raise TERM ("dest_Suc", [t]);
wenzelm
parents: 5096
diff changeset
   474
21621
f9fd69d96c4e slight cleanup in hologic.ML
haftmann
parents: 21550
diff changeset
   475
val Suc_zero = mk_Suc zero;
f9fd69d96c4e slight cleanup in hologic.ML
haftmann
parents: 21550
diff changeset
   476
24630
351a308ab58d simplified type int (eliminated IntInf.int, integer);
wenzelm
parents: 23745
diff changeset
   477
fun mk_nat n =
22994
02440636214f abstract size function in hologic.ML
haftmann
parents: 22391
diff changeset
   478
  let
02440636214f abstract size function in hologic.ML
haftmann
parents: 22391
diff changeset
   479
    fun mk 0 = zero
23297
06f108974fa1 simplified type integer;
wenzelm
parents: 23269
diff changeset
   480
      | mk n = mk_Suc (mk (n - 1));
23576
1ffe739e5ee0 removed dest_cTrueprop (cf. ObjectLogic.dest_judgment);
wenzelm
parents: 23566
diff changeset
   481
  in if n < 0 then raise TERM ("mk_nat: negative number", []) else mk n end;
5207
wenzelm
parents: 5096
diff changeset
   482
35267
8dfd816713c6 moved remaning class operations from Algebras.thy to Groups.thy
haftmann
parents: 34974
diff changeset
   483
fun dest_nat (Const ("Groups.zero_class.zero", _)) = 0
37387
3581483cca6c qualified types "+" and nat; qualified constants Ball, Bex, Suc, curry; modernized some specifications
haftmann
parents: 37145
diff changeset
   484
  | dest_nat (Const ("Nat.Suc", _) $ t) = dest_nat t + 1
5207
wenzelm
parents: 5096
diff changeset
   485
  | dest_nat t = raise TERM ("dest_nat", [t]);
wenzelm
parents: 5096
diff changeset
   486
22994
02440636214f abstract size function in hologic.ML
haftmann
parents: 22391
diff changeset
   487
val class_size = "Nat.size";
02440636214f abstract size function in hologic.ML
haftmann
parents: 22391
diff changeset
   488
02440636214f abstract size function in hologic.ML
haftmann
parents: 22391
diff changeset
   489
fun size_const T = Const ("Nat.size_class.size", T --> natT);
02440636214f abstract size function in hologic.ML
haftmann
parents: 22391
diff changeset
   490
5207
wenzelm
parents: 5096
diff changeset
   491
31205
98370b26c2ce String.literal replaces message_string, code_numeral replaces (code_)index
haftmann
parents: 31183
diff changeset
   492
(* code numeral *)
26036
f9e779f11949 added indexT
haftmann
parents: 25919
diff changeset
   493
31205
98370b26c2ce String.literal replaces message_string, code_numeral replaces (code_)index
haftmann
parents: 31183
diff changeset
   494
val code_numeralT = Type ("Code_Numeral.code_numeral", []);
26036
f9e779f11949 added indexT
haftmann
parents: 25919
diff changeset
   495
f9e779f11949 added indexT
haftmann
parents: 25919
diff changeset
   496
21778
66440bf72cdc binary numerals: restricted to actual abstract syntax;
wenzelm
parents: 21755
diff changeset
   497
(* binary numerals and int -- non-unique representation due to leading zeros/ones! *)
66440bf72cdc binary numerals: restricted to actual abstract syntax;
wenzelm
parents: 21755
diff changeset
   498
25919
8b1c0d434824 joined theories IntDef, Numeral, IntArith to theory Int
haftmann
parents: 25887
diff changeset
   499
val intT = Type ("Int.int", []);
21778
66440bf72cdc binary numerals: restricted to actual abstract syntax;
wenzelm
parents: 21755
diff changeset
   500
25919
8b1c0d434824 joined theories IntDef, Numeral, IntArith to theory Int
haftmann
parents: 25887
diff changeset
   501
val pls_const = Const ("Int.Pls", intT)
8b1c0d434824 joined theories IntDef, Numeral, IntArith to theory Int
haftmann
parents: 25887
diff changeset
   502
and min_const = Const ("Int.Min", intT)
26086
3c243098b64a New simpler representation of numerals, using Bit0 and Bit1 instead of BIT, B0, and B1
huffman
parents: 26036
diff changeset
   503
and bit0_const = Const ("Int.Bit0", intT --> intT)
3c243098b64a New simpler representation of numerals, using Bit0 and Bit1 instead of BIT, B0, and B1
huffman
parents: 26036
diff changeset
   504
and bit1_const = Const ("Int.Bit1", intT --> intT);
3c243098b64a New simpler representation of numerals, using Bit0 and Bit1 instead of BIT, B0, and B1
huffman
parents: 26036
diff changeset
   505
3c243098b64a New simpler representation of numerals, using Bit0 and Bit1 instead of BIT, B0, and B1
huffman
parents: 26036
diff changeset
   506
fun mk_bit 0 = bit0_const
3c243098b64a New simpler representation of numerals, using Bit0 and Bit1 instead of BIT, B0, and B1
huffman
parents: 26036
diff changeset
   507
  | mk_bit 1 = bit1_const
3c243098b64a New simpler representation of numerals, using Bit0 and Bit1 instead of BIT, B0, and B1
huffman
parents: 26036
diff changeset
   508
  | mk_bit _ = raise TERM ("mk_bit", []);
3c243098b64a New simpler representation of numerals, using Bit0 and Bit1 instead of BIT, B0, and B1
huffman
parents: 26036
diff changeset
   509
3c243098b64a New simpler representation of numerals, using Bit0 and Bit1 instead of BIT, B0, and B1
huffman
parents: 26036
diff changeset
   510
fun dest_bit (Const ("Int.Bit0", _)) = 0
3c243098b64a New simpler representation of numerals, using Bit0 and Bit1 instead of BIT, B0, and B1
huffman
parents: 26036
diff changeset
   511
  | dest_bit (Const ("Int.Bit1", _)) = 1
3c243098b64a New simpler representation of numerals, using Bit0 and Bit1 instead of BIT, B0, and B1
huffman
parents: 26036
diff changeset
   512
  | dest_bit t = raise TERM ("dest_bit", [t]);
8768
9f18aba48519 number_of now takes a type arg
paulson
parents: 8739
diff changeset
   513
21829
016eff9c5699 simplified mk/dest_numeral (cf. mk/dest_binum of 1.65);
wenzelm
parents: 21820
diff changeset
   514
fun mk_numeral 0 = pls_const
016eff9c5699 simplified mk/dest_numeral (cf. mk/dest_binum of 1.65);
wenzelm
parents: 21820
diff changeset
   515
  | mk_numeral ~1 = min_const
016eff9c5699 simplified mk/dest_numeral (cf. mk/dest_binum of 1.65);
wenzelm
parents: 21820
diff changeset
   516
  | mk_numeral i =
24630
351a308ab58d simplified type int (eliminated IntInf.int, integer);
wenzelm
parents: 23745
diff changeset
   517
      let val (q, r) = Integer.div_mod i 2;
26086
3c243098b64a New simpler representation of numerals, using Bit0 and Bit1 instead of BIT, B0, and B1
huffman
parents: 26036
diff changeset
   518
      in mk_bit r $ mk_numeral q end;
13755
a9bb54a3cfb7 Added mk_int and mk_list.
berghofe
parents: 13743
diff changeset
   519
25919
8b1c0d434824 joined theories IntDef, Numeral, IntArith to theory Int
haftmann
parents: 25887
diff changeset
   520
fun dest_numeral (Const ("Int.Pls", _)) = 0
8b1c0d434824 joined theories IntDef, Numeral, IntArith to theory Int
haftmann
parents: 25887
diff changeset
   521
  | dest_numeral (Const ("Int.Min", _)) = ~1
26086
3c243098b64a New simpler representation of numerals, using Bit0 and Bit1 instead of BIT, B0, and B1
huffman
parents: 26036
diff changeset
   522
  | dest_numeral (Const ("Int.Bit0", _) $ bs) = 2 * dest_numeral bs
3c243098b64a New simpler representation of numerals, using Bit0 and Bit1 instead of BIT, B0, and B1
huffman
parents: 26036
diff changeset
   523
  | dest_numeral (Const ("Int.Bit1", _) $ bs) = 2 * dest_numeral bs + 1
21829
016eff9c5699 simplified mk/dest_numeral (cf. mk/dest_binum of 1.65);
wenzelm
parents: 21820
diff changeset
   524
  | dest_numeral t = raise TERM ("dest_numeral", [t]);
13755
a9bb54a3cfb7 Added mk_int and mk_list.
berghofe
parents: 13743
diff changeset
   525
25919
8b1c0d434824 joined theories IntDef, Numeral, IntArith to theory Int
haftmann
parents: 25887
diff changeset
   526
fun number_of_const T = Const ("Int.number_class.number_of", intT --> T);
21820
2f2b6a965ccc introduced mk/dest_numeral/number for mk/dest_binum etc.
haftmann
parents: 21788
diff changeset
   527
25919
8b1c0d434824 joined theories IntDef, Numeral, IntArith to theory Int
haftmann
parents: 25887
diff changeset
   528
fun add_numerals (Const ("Int.number_class.number_of", Type (_, [_, T])) $ t) = cons (t, T)
23269
851b8ea067ac simplified/renamed add_numerals;
wenzelm
parents: 23247
diff changeset
   529
  | add_numerals (t $ u) = add_numerals t #> add_numerals u
851b8ea067ac simplified/renamed add_numerals;
wenzelm
parents: 23247
diff changeset
   530
  | add_numerals (Abs (_, _, t)) = add_numerals t
851b8ea067ac simplified/renamed add_numerals;
wenzelm
parents: 23247
diff changeset
   531
  | add_numerals _ = I;
22391
56861fe9c22c added add_numerals_of
haftmann
parents: 21829
diff changeset
   532
35267
8dfd816713c6 moved remaning class operations from Algebras.thy to Groups.thy
haftmann
parents: 34974
diff changeset
   533
fun mk_number T 0 = Const ("Groups.zero_class.zero", T)
8dfd816713c6 moved remaning class operations from Algebras.thy to Groups.thy
haftmann
parents: 34974
diff changeset
   534
  | mk_number T 1 = Const ("Groups.one_class.one", T)
21820
2f2b6a965ccc introduced mk/dest_numeral/number for mk/dest_binum etc.
haftmann
parents: 21788
diff changeset
   535
  | mk_number T i = number_of_const T $ mk_numeral i;
2f2b6a965ccc introduced mk/dest_numeral/number for mk/dest_binum etc.
haftmann
parents: 21788
diff changeset
   536
35267
8dfd816713c6 moved remaning class operations from Algebras.thy to Groups.thy
haftmann
parents: 34974
diff changeset
   537
fun dest_number (Const ("Groups.zero_class.zero", T)) = (T, 0)
8dfd816713c6 moved remaning class operations from Algebras.thy to Groups.thy
haftmann
parents: 34974
diff changeset
   538
  | dest_number (Const ("Groups.one_class.one", T)) = (T, 1)
25919
8b1c0d434824 joined theories IntDef, Numeral, IntArith to theory Int
haftmann
parents: 25887
diff changeset
   539
  | dest_number (Const ("Int.number_class.number_of", Type ("fun", [_, T])) $ t) =
22994
02440636214f abstract size function in hologic.ML
haftmann
parents: 22391
diff changeset
   540
      (T, dest_numeral t)
21820
2f2b6a965ccc introduced mk/dest_numeral/number for mk/dest_binum etc.
haftmann
parents: 21788
diff changeset
   541
  | dest_number t = raise TERM ("dest_number", [t]);
13755
a9bb54a3cfb7 Added mk_int and mk_list.
berghofe
parents: 13743
diff changeset
   542
21829
016eff9c5699 simplified mk/dest_numeral (cf. mk/dest_binum of 1.65);
wenzelm
parents: 21820
diff changeset
   543
13755
a9bb54a3cfb7 Added mk_int and mk_list.
berghofe
parents: 13743
diff changeset
   544
(* real *)
a9bb54a3cfb7 Added mk_int and mk_list.
berghofe
parents: 13743
diff changeset
   545
16971
968adbfbf93b removed read_cterm;
wenzelm
parents: 16835
diff changeset
   546
val realT = Type ("RealDef.real", []);
13755
a9bb54a3cfb7 Added mk_int and mk_list.
berghofe
parents: 13743
diff changeset
   547
a9bb54a3cfb7 Added mk_int and mk_list.
berghofe
parents: 13743
diff changeset
   548
21755
22dd32812116 misc cleanup -- removed non-HOL operations;
wenzelm
parents: 21621
diff changeset
   549
(* list *)
21455
b6be1d1b66c5 incorporated structure HOList into HOLogic
haftmann
parents: 21219
diff changeset
   550
21755
22dd32812116 misc cleanup -- removed non-HOL operations;
wenzelm
parents: 21621
diff changeset
   551
fun listT T = Type ("List.list", [T]);
21455
b6be1d1b66c5 incorporated structure HOList into HOLogic
haftmann
parents: 21219
diff changeset
   552
25887
5dcc3c257922 Added nil_const and cons_const.
berghofe
parents: 25172
diff changeset
   553
fun nil_const T = Const ("List.list.Nil", listT T);
5dcc3c257922 Added nil_const and cons_const.
berghofe
parents: 25172
diff changeset
   554
5dcc3c257922 Added nil_const and cons_const.
berghofe
parents: 25172
diff changeset
   555
fun cons_const T =
5dcc3c257922 Added nil_const and cons_const.
berghofe
parents: 25172
diff changeset
   556
  let val lT = listT T
5dcc3c257922 Added nil_const and cons_const.
berghofe
parents: 25172
diff changeset
   557
  in Const ("List.list.Cons", T --> lT --> lT) end;
5dcc3c257922 Added nil_const and cons_const.
berghofe
parents: 25172
diff changeset
   558
21755
22dd32812116 misc cleanup -- removed non-HOL operations;
wenzelm
parents: 21621
diff changeset
   559
fun mk_list T ts =
21455
b6be1d1b66c5 incorporated structure HOList into HOLogic
haftmann
parents: 21219
diff changeset
   560
  let
21755
22dd32812116 misc cleanup -- removed non-HOL operations;
wenzelm
parents: 21621
diff changeset
   561
    val lT = listT T;
22dd32812116 misc cleanup -- removed non-HOL operations;
wenzelm
parents: 21621
diff changeset
   562
    val Nil = Const ("List.list.Nil", lT);
22dd32812116 misc cleanup -- removed non-HOL operations;
wenzelm
parents: 21621
diff changeset
   563
    fun Cons t u = Const ("List.list.Cons", T --> lT --> lT) $ t $ u;
22dd32812116 misc cleanup -- removed non-HOL operations;
wenzelm
parents: 21621
diff changeset
   564
  in fold_rev Cons ts Nil end;
22dd32812116 misc cleanup -- removed non-HOL operations;
wenzelm
parents: 21621
diff changeset
   565
22dd32812116 misc cleanup -- removed non-HOL operations;
wenzelm
parents: 21621
diff changeset
   566
fun dest_list (Const ("List.list.Nil", _)) = []
22dd32812116 misc cleanup -- removed non-HOL operations;
wenzelm
parents: 21621
diff changeset
   567
  | dest_list (Const ("List.list.Cons", _) $ t $ u) = t :: dest_list u
22dd32812116 misc cleanup -- removed non-HOL operations;
wenzelm
parents: 21621
diff changeset
   568
  | dest_list t = raise TERM ("dest_list", [t]);
21455
b6be1d1b66c5 incorporated structure HOList into HOLogic
haftmann
parents: 21219
diff changeset
   569
b6be1d1b66c5 incorporated structure HOList into HOLogic
haftmann
parents: 21219
diff changeset
   570
31048
ac146fc38b51 refined HOL string theories and corresponding ML fragments
haftmann
parents: 30453
diff changeset
   571
(* nibble *)
ac146fc38b51 refined HOL string theories and corresponding ML fragments
haftmann
parents: 30453
diff changeset
   572
ac146fc38b51 refined HOL string theories and corresponding ML fragments
haftmann
parents: 30453
diff changeset
   573
val nibbleT = Type ("String.nibble", []);
ac146fc38b51 refined HOL string theories and corresponding ML fragments
haftmann
parents: 30453
diff changeset
   574
ac146fc38b51 refined HOL string theories and corresponding ML fragments
haftmann
parents: 30453
diff changeset
   575
fun mk_nibble n =
ac146fc38b51 refined HOL string theories and corresponding ML fragments
haftmann
parents: 30453
diff changeset
   576
  let val s =
ac146fc38b51 refined HOL string theories and corresponding ML fragments
haftmann
parents: 30453
diff changeset
   577
    if 0 <= n andalso n <= 9 then chr (n + ord "0")
ac146fc38b51 refined HOL string theories and corresponding ML fragments
haftmann
parents: 30453
diff changeset
   578
    else if 10 <= n andalso n <= 15 then chr (n + ord "A" - 10)
ac146fc38b51 refined HOL string theories and corresponding ML fragments
haftmann
parents: 30453
diff changeset
   579
    else raise TERM ("mk_nibble", [])
ac146fc38b51 refined HOL string theories and corresponding ML fragments
haftmann
parents: 30453
diff changeset
   580
  in Const ("String.nibble.Nibble" ^ s, nibbleT) end;
ac146fc38b51 refined HOL string theories and corresponding ML fragments
haftmann
parents: 30453
diff changeset
   581
ac146fc38b51 refined HOL string theories and corresponding ML fragments
haftmann
parents: 30453
diff changeset
   582
fun dest_nibble t =
ac146fc38b51 refined HOL string theories and corresponding ML fragments
haftmann
parents: 30453
diff changeset
   583
  let fun err () = raise TERM ("dest_nibble", [t]) in
ac146fc38b51 refined HOL string theories and corresponding ML fragments
haftmann
parents: 30453
diff changeset
   584
    (case try (unprefix "String.nibble.Nibble" o fst o Term.dest_Const) t of
ac146fc38b51 refined HOL string theories and corresponding ML fragments
haftmann
parents: 30453
diff changeset
   585
      NONE => err ()
ac146fc38b51 refined HOL string theories and corresponding ML fragments
haftmann
parents: 30453
diff changeset
   586
    | SOME c =>
ac146fc38b51 refined HOL string theories and corresponding ML fragments
haftmann
parents: 30453
diff changeset
   587
        if size c <> 1 then err ()
ac146fc38b51 refined HOL string theories and corresponding ML fragments
haftmann
parents: 30453
diff changeset
   588
        else if "0" <= c andalso c <= "9" then ord c - ord "0"
ac146fc38b51 refined HOL string theories and corresponding ML fragments
haftmann
parents: 30453
diff changeset
   589
        else if "A" <= c andalso c <= "F" then ord c - ord "A" + 10
ac146fc38b51 refined HOL string theories and corresponding ML fragments
haftmann
parents: 30453
diff changeset
   590
        else err ())
ac146fc38b51 refined HOL string theories and corresponding ML fragments
haftmann
parents: 30453
diff changeset
   591
  end;
ac146fc38b51 refined HOL string theories and corresponding ML fragments
haftmann
parents: 30453
diff changeset
   592
ac146fc38b51 refined HOL string theories and corresponding ML fragments
haftmann
parents: 30453
diff changeset
   593
ac146fc38b51 refined HOL string theories and corresponding ML fragments
haftmann
parents: 30453
diff changeset
   594
(* char *)
ac146fc38b51 refined HOL string theories and corresponding ML fragments
haftmann
parents: 30453
diff changeset
   595
ac146fc38b51 refined HOL string theories and corresponding ML fragments
haftmann
parents: 30453
diff changeset
   596
val charT = Type ("String.char", []);
ac146fc38b51 refined HOL string theories and corresponding ML fragments
haftmann
parents: 30453
diff changeset
   597
ac146fc38b51 refined HOL string theories and corresponding ML fragments
haftmann
parents: 30453
diff changeset
   598
fun mk_char n =
ac146fc38b51 refined HOL string theories and corresponding ML fragments
haftmann
parents: 30453
diff changeset
   599
  if 0 <= n andalso n <= 255 then
ac146fc38b51 refined HOL string theories and corresponding ML fragments
haftmann
parents: 30453
diff changeset
   600
    Const ("String.char.Char", nibbleT --> nibbleT --> charT) $
ac146fc38b51 refined HOL string theories and corresponding ML fragments
haftmann
parents: 30453
diff changeset
   601
      mk_nibble (n div 16) $ mk_nibble (n mod 16)
ac146fc38b51 refined HOL string theories and corresponding ML fragments
haftmann
parents: 30453
diff changeset
   602
  else raise TERM ("mk_char", []);
ac146fc38b51 refined HOL string theories and corresponding ML fragments
haftmann
parents: 30453
diff changeset
   603
ac146fc38b51 refined HOL string theories and corresponding ML fragments
haftmann
parents: 30453
diff changeset
   604
fun dest_char (Const ("String.char.Char", _) $ t $ u) =
ac146fc38b51 refined HOL string theories and corresponding ML fragments
haftmann
parents: 30453
diff changeset
   605
      dest_nibble t * 16 + dest_nibble u
ac146fc38b51 refined HOL string theories and corresponding ML fragments
haftmann
parents: 30453
diff changeset
   606
  | dest_char t = raise TERM ("dest_char", [t]);
ac146fc38b51 refined HOL string theories and corresponding ML fragments
haftmann
parents: 30453
diff changeset
   607
ac146fc38b51 refined HOL string theories and corresponding ML fragments
haftmann
parents: 30453
diff changeset
   608
21455
b6be1d1b66c5 incorporated structure HOList into HOLogic
haftmann
parents: 21219
diff changeset
   609
(* string *)
b6be1d1b66c5 incorporated structure HOList into HOLogic
haftmann
parents: 21219
diff changeset
   610
32446
cde4f2c8bdd5 fixed HOLogic.stringT
krauss
parents: 32342
diff changeset
   611
val stringT = listT charT;
21455
b6be1d1b66c5 incorporated structure HOList into HOLogic
haftmann
parents: 21219
diff changeset
   612
40627
becf5d5187cc renamed raw "explode" function to "raw_explode" to emphasize its meaning;
wenzelm
parents: 39756
diff changeset
   613
val mk_string = mk_list charT o map (mk_char o ord) o raw_explode;
21755
22dd32812116 misc cleanup -- removed non-HOL operations;
wenzelm
parents: 21621
diff changeset
   614
val dest_string = implode o map (chr o dest_char) o dest_list;
21455
b6be1d1b66c5 incorporated structure HOList into HOLogic
haftmann
parents: 21219
diff changeset
   615
31048
ac146fc38b51 refined HOL string theories and corresponding ML fragments
haftmann
parents: 30453
diff changeset
   616
31205
98370b26c2ce String.literal replaces message_string, code_numeral replaces (code_)index
haftmann
parents: 31183
diff changeset
   617
(* literal *)
31048
ac146fc38b51 refined HOL string theories and corresponding ML fragments
haftmann
parents: 30453
diff changeset
   618
31205
98370b26c2ce String.literal replaces message_string, code_numeral replaces (code_)index
haftmann
parents: 31183
diff changeset
   619
val literalT = Type ("String.literal", []);
31048
ac146fc38b51 refined HOL string theories and corresponding ML fragments
haftmann
parents: 30453
diff changeset
   620
39250
548a3e5521ab changing String.literal to a type instead of a datatype
bulwahn
parents: 38864
diff changeset
   621
fun mk_literal s = Const ("String.STR", stringT --> literalT)
31048
ac146fc38b51 refined HOL string theories and corresponding ML fragments
haftmann
parents: 30453
diff changeset
   622
      $ mk_string s;
39250
548a3e5521ab changing String.literal to a type instead of a datatype
bulwahn
parents: 38864
diff changeset
   623
fun dest_literal (Const ("String.STR", _) $ t) =
31048
ac146fc38b51 refined HOL string theories and corresponding ML fragments
haftmann
parents: 30453
diff changeset
   624
      dest_string t
31205
98370b26c2ce String.literal replaces message_string, code_numeral replaces (code_)index
haftmann
parents: 31183
diff changeset
   625
  | dest_literal t = raise TERM ("dest_literal", [t]);
31048
ac146fc38b51 refined HOL string theories and corresponding ML fragments
haftmann
parents: 30453
diff changeset
   626
31135
e2d777dcf161 added abstract operations for typerep/term_of
haftmann
parents: 31048
diff changeset
   627
e2d777dcf161 added abstract operations for typerep/term_of
haftmann
parents: 31048
diff changeset
   628
(* typerep and term *)
e2d777dcf161 added abstract operations for typerep/term_of
haftmann
parents: 31048
diff changeset
   629
e2d777dcf161 added abstract operations for typerep/term_of
haftmann
parents: 31048
diff changeset
   630
val typerepT = Type ("Typerep.typerep", []);
e2d777dcf161 added abstract operations for typerep/term_of
haftmann
parents: 31048
diff changeset
   631
31736
926ebca5a145 more appropriate mk_typerep
haftmann
parents: 31463
diff changeset
   632
fun mk_typerep (Type (tyco, Ts)) = Const ("Typerep.typerep.Typerep",
926ebca5a145 more appropriate mk_typerep
haftmann
parents: 31463
diff changeset
   633
      literalT --> listT typerepT --> typerepT) $ mk_literal tyco
926ebca5a145 more appropriate mk_typerep
haftmann
parents: 31463
diff changeset
   634
        $ mk_list typerepT (map mk_typerep Ts)
926ebca5a145 more appropriate mk_typerep
haftmann
parents: 31463
diff changeset
   635
  | mk_typerep (T as TFree _) = Const ("Typerep.typerep_class.typerep",
926ebca5a145 more appropriate mk_typerep
haftmann
parents: 31463
diff changeset
   636
      Term.itselfT T --> typerepT) $ Logic.mk_type T;
31135
e2d777dcf161 added abstract operations for typerep/term_of
haftmann
parents: 31048
diff changeset
   637
32657
5f13912245ff Code_Eval(uation)
haftmann
parents: 32446
diff changeset
   638
val termT = Type ("Code_Evaluation.term", []);
31135
e2d777dcf161 added abstract operations for typerep/term_of
haftmann
parents: 31048
diff changeset
   639
32657
5f13912245ff Code_Eval(uation)
haftmann
parents: 32446
diff changeset
   640
fun term_of_const T = Const ("Code_Evaluation.term_of_class.term_of", T --> termT);
32339
40612b7ace87 termT and term_of_const
haftmann
parents: 32287
diff changeset
   641
40612b7ace87 termT and term_of_const
haftmann
parents: 32287
diff changeset
   642
fun mk_term_of T t = term_of_const T $ t;
31135
e2d777dcf161 added abstract operations for typerep/term_of
haftmann
parents: 31048
diff changeset
   643
e2d777dcf161 added abstract operations for typerep/term_of
haftmann
parents: 31048
diff changeset
   644
fun reflect_term (Const (c, T)) =
32657
5f13912245ff Code_Eval(uation)
haftmann
parents: 32446
diff changeset
   645
      Const ("Code_Evaluation.Const", literalT --> typerepT --> termT)
31205
98370b26c2ce String.literal replaces message_string, code_numeral replaces (code_)index
haftmann
parents: 31183
diff changeset
   646
        $ mk_literal c $ mk_typerep T
31135
e2d777dcf161 added abstract operations for typerep/term_of
haftmann
parents: 31048
diff changeset
   647
  | reflect_term (t1 $ t2) =
32657
5f13912245ff Code_Eval(uation)
haftmann
parents: 32446
diff changeset
   648
      Const ("Code_Evaluation.App", termT --> termT --> termT)
31135
e2d777dcf161 added abstract operations for typerep/term_of
haftmann
parents: 31048
diff changeset
   649
        $ reflect_term t1 $ reflect_term t2
31183
13effe47174c combinators for single-threaded operations
haftmann
parents: 31135
diff changeset
   650
  | reflect_term (Abs (v, _, t)) = Abs (v, termT, reflect_term t)
13effe47174c combinators for single-threaded operations
haftmann
parents: 31135
diff changeset
   651
  | reflect_term t = t;
13effe47174c combinators for single-threaded operations
haftmann
parents: 31135
diff changeset
   652
31463
c5681ed50eab added mk_valtermify_app and mk_random
haftmann
parents: 31456
diff changeset
   653
fun mk_valtermify_app c vs T =
c5681ed50eab added mk_valtermify_app and mk_random
haftmann
parents: 31456
diff changeset
   654
  let
c5681ed50eab added mk_valtermify_app and mk_random
haftmann
parents: 31456
diff changeset
   655
    fun termifyT T = mk_prodT (T, unitT --> termT);
32657
5f13912245ff Code_Eval(uation)
haftmann
parents: 32446
diff changeset
   656
    fun valapp T T' = Const ("Code_Evaluation.valapp",
31463
c5681ed50eab added mk_valtermify_app and mk_random
haftmann
parents: 31456
diff changeset
   657
      termifyT (T --> T') --> termifyT T --> termifyT T');
c5681ed50eab added mk_valtermify_app and mk_random
haftmann
parents: 31456
diff changeset
   658
    fun mk_fTs [] _ = []
c5681ed50eab added mk_valtermify_app and mk_random
haftmann
parents: 31456
diff changeset
   659
      | mk_fTs (_ :: Ts) T = (Ts ---> T) :: mk_fTs Ts T;
c5681ed50eab added mk_valtermify_app and mk_random
haftmann
parents: 31456
diff changeset
   660
    val Ts = map snd vs;
c5681ed50eab added mk_valtermify_app and mk_random
haftmann
parents: 31456
diff changeset
   661
    val t = Const (c, Ts ---> T);
c5681ed50eab added mk_valtermify_app and mk_random
haftmann
parents: 31456
diff changeset
   662
    val tt = mk_prod (t, Abs ("u", unitT, reflect_term t));
33245
65232054ffd0 eliminated some old folds;
wenzelm
parents: 32657
diff changeset
   663
    fun app (fT, (v, T)) t = valapp T fT $ t $ Free (v, termifyT T);
65232054ffd0 eliminated some old folds;
wenzelm
parents: 32657
diff changeset
   664
  in fold app (mk_fTs Ts T ~~ vs) tt end;
31463
c5681ed50eab added mk_valtermify_app and mk_random
haftmann
parents: 31456
diff changeset
   665
31183
13effe47174c combinators for single-threaded operations
haftmann
parents: 31135
diff changeset
   666
13effe47174c combinators for single-threaded operations
haftmann
parents: 31135
diff changeset
   667
(* open state monads *)
13effe47174c combinators for single-threaded operations
haftmann
parents: 31135
diff changeset
   668
13effe47174c combinators for single-threaded operations
haftmann
parents: 31135
diff changeset
   669
fun mk_return T U x = pair_const T U $ x;
13effe47174c combinators for single-threaded operations
haftmann
parents: 31135
diff changeset
   670
13effe47174c combinators for single-threaded operations
haftmann
parents: 31135
diff changeset
   671
fun mk_ST clauses t U (someT, V) =
13effe47174c combinators for single-threaded operations
haftmann
parents: 31135
diff changeset
   672
  let
13effe47174c combinators for single-threaded operations
haftmann
parents: 31135
diff changeset
   673
    val R = case someT of SOME T => mk_prodT (T, V) | NONE => V
13effe47174c combinators for single-threaded operations
haftmann
parents: 31135
diff changeset
   674
    fun mk_clause ((t, U), SOME (v, T)) (t', U') =
13effe47174c combinators for single-threaded operations
haftmann
parents: 31135
diff changeset
   675
          (Const ("Product_Type.scomp", (U --> mk_prodT (T, U')) --> (T --> U' --> R) --> U --> R)
13effe47174c combinators for single-threaded operations
haftmann
parents: 31135
diff changeset
   676
            $ t $ lambda (Free (v, T)) t', U)
13effe47174c combinators for single-threaded operations
haftmann
parents: 31135
diff changeset
   677
      | mk_clause ((t, U), NONE) (t', U') =
13effe47174c combinators for single-threaded operations
haftmann
parents: 31135
diff changeset
   678
          (Const ("Product_Type.fcomp", (U --> U') --> (U' --> R) --> U --> R)
13effe47174c combinators for single-threaded operations
haftmann
parents: 31135
diff changeset
   679
            $ t $ t', U)
13effe47174c combinators for single-threaded operations
haftmann
parents: 31135
diff changeset
   680
  in fold_rev mk_clause clauses (t, U) |> fst end;
31135
e2d777dcf161 added abstract operations for typerep/term_of
haftmann
parents: 31048
diff changeset
   681
38550
haftmann
parents: 38548
diff changeset
   682
haftmann
parents: 38548
diff changeset
   683
(* random seeds *)
haftmann
parents: 38548
diff changeset
   684
31463
c5681ed50eab added mk_valtermify_app and mk_random
haftmann
parents: 31456
diff changeset
   685
val random_seedT = mk_prodT (code_numeralT, code_numeralT);
c5681ed50eab added mk_valtermify_app and mk_random
haftmann
parents: 31456
diff changeset
   686
c5681ed50eab added mk_valtermify_app and mk_random
haftmann
parents: 31456
diff changeset
   687
fun mk_random T t = Const ("Quickcheck.random_class.random", code_numeralT
c5681ed50eab added mk_valtermify_app and mk_random
haftmann
parents: 31456
diff changeset
   688
  --> random_seedT --> mk_prodT (mk_prodT (T, unitT --> termT), random_seedT)) $ t;
c5681ed50eab added mk_valtermify_app and mk_random
haftmann
parents: 31456
diff changeset
   689
923
ff1574a81019 new version of HOL with curried function application
clasohm
parents:
diff changeset
   690
end;