src/HOL/hologic.ML
author wenzelm
Sun, 30 Jul 2000 13:02:14 +0200
changeset 9473 7d13a5ace928
parent 9362 b78d4246a320
child 9856 c34d3c94298c
permissions -rw-r--r--
added atomic_Trueprop;
Ignore whitespace changes - Everywhere: Within whitespace: At end of lines:
923
ff1574a81019 new version of HOL with curried function application
clasohm
parents:
diff changeset
     1
(*  Title:      HOL/hologic.ML
ff1574a81019 new version of HOL with curried function application
clasohm
parents:
diff changeset
     2
    ID:         $Id$
ff1574a81019 new version of HOL with curried function application
clasohm
parents:
diff changeset
     3
    Author:     Lawrence C Paulson and Markus Wenzel
ff1574a81019 new version of HOL with curried function application
clasohm
parents:
diff changeset
     4
ff1574a81019 new version of HOL with curried function application
clasohm
parents:
diff changeset
     5
Abstract syntax operations for HOL.
ff1574a81019 new version of HOL with curried function application
clasohm
parents:
diff changeset
     6
*)
ff1574a81019 new version of HOL with curried function application
clasohm
parents:
diff changeset
     7
ff1574a81019 new version of HOL with curried function application
clasohm
parents:
diff changeset
     8
signature HOLOGIC =
ff1574a81019 new version of HOL with curried function application
clasohm
parents:
diff changeset
     9
sig
ff1574a81019 new version of HOL with curried function application
clasohm
parents:
diff changeset
    10
  val termC: class
ff1574a81019 new version of HOL with curried function application
clasohm
parents:
diff changeset
    11
  val termS: sort
8100
6186ee807f2e replaced HOLogic.termTVar by HOLogic.termT;
wenzelm
parents: 7690
diff changeset
    12
  val termT: typ
8275
32387a2c7749 added boolN;
wenzelm
parents: 8100
diff changeset
    13
  val boolN: string
923
ff1574a81019 new version of HOL with curried function application
clasohm
parents:
diff changeset
    14
  val boolT: typ
7073
a959b4391fd8 added boolean and binary constants
paulson
parents: 6380
diff changeset
    15
  val false_const: term
a959b4391fd8 added boolean and binary constants
paulson
parents: 6380
diff changeset
    16
  val true_const: term
923
ff1574a81019 new version of HOL with curried function application
clasohm
parents:
diff changeset
    17
  val mk_setT: typ -> typ
ff1574a81019 new version of HOL with curried function application
clasohm
parents:
diff changeset
    18
  val dest_setT: typ -> typ
ff1574a81019 new version of HOL with curried function application
clasohm
parents:
diff changeset
    19
  val mk_Trueprop: term -> term
9473
7d13a5ace928 added atomic_Trueprop;
wenzelm
parents: 9362
diff changeset
    20
  val atomic_Trueprop: string -> term
923
ff1574a81019 new version of HOL with curried function application
clasohm
parents:
diff changeset
    21
  val dest_Trueprop: term -> term
ff1574a81019 new version of HOL with curried function application
clasohm
parents:
diff changeset
    22
  val conj: term
ff1574a81019 new version of HOL with curried function application
clasohm
parents:
diff changeset
    23
  val disj: term
ff1574a81019 new version of HOL with curried function application
clasohm
parents:
diff changeset
    24
  val imp: term
8429
515fa7533354 added Not;
wenzelm
parents: 8302
diff changeset
    25
  val Not: term
7690
27676b51243d added mk_conj, mk_disj, mk_imp;
wenzelm
parents: 7548
diff changeset
    26
  val mk_conj: term * term -> term
27676b51243d added mk_conj, mk_disj, mk_imp;
wenzelm
parents: 7548
diff changeset
    27
  val mk_disj: term * term -> term
27676b51243d added mk_conj, mk_disj, mk_imp;
wenzelm
parents: 7548
diff changeset
    28
  val mk_imp: term * term -> term
4571
6b02fc8a97f6 added unit and prod stuff;
wenzelm
parents: 4466
diff changeset
    29
  val dest_imp: term -> term * term
8302
da404f79c1fc added dest_conj;
wenzelm
parents: 8275
diff changeset
    30
  val dest_conj: term -> term list
923
ff1574a81019 new version of HOL with curried function application
clasohm
parents:
diff changeset
    31
  val eq_const: typ -> term
ff1574a81019 new version of HOL with curried function application
clasohm
parents:
diff changeset
    32
  val all_const: typ -> term
ff1574a81019 new version of HOL with curried function application
clasohm
parents:
diff changeset
    33
  val exists_const: typ -> term
ff1574a81019 new version of HOL with curried function application
clasohm
parents:
diff changeset
    34
  val Collect_const: typ -> term
ff1574a81019 new version of HOL with curried function application
clasohm
parents:
diff changeset
    35
  val mk_eq: term * term -> term
6031
d9fa148383e2 new function dest_eq
paulson
parents: 5207
diff changeset
    36
  val dest_eq: term -> term * term
923
ff1574a81019 new version of HOL with curried function application
clasohm
parents:
diff changeset
    37
  val mk_all: string * typ * term -> term
ff1574a81019 new version of HOL with curried function application
clasohm
parents:
diff changeset
    38
  val mk_exists: string * typ * term -> term
ff1574a81019 new version of HOL with curried function application
clasohm
parents:
diff changeset
    39
  val mk_Collect: string * typ * term -> term
ff1574a81019 new version of HOL with curried function application
clasohm
parents:
diff changeset
    40
  val mk_mem: term * term -> term
6380
32fda1090a13 added dest_mem;
wenzelm
parents: 6031
diff changeset
    41
  val dest_mem: term -> term * term
2510
e3d0ac75c723 binary oprations and relations;
wenzelm
parents: 923
diff changeset
    42
  val mk_binop: string -> term * term -> term
e3d0ac75c723 binary oprations and relations;
wenzelm
parents: 923
diff changeset
    43
  val mk_binrel: string -> term * term -> term
e3d0ac75c723 binary oprations and relations;
wenzelm
parents: 923
diff changeset
    44
  val dest_bin: string -> typ -> term -> term * term
4571
6b02fc8a97f6 added unit and prod stuff;
wenzelm
parents: 4466
diff changeset
    45
  val unitT: typ
9362
b78d4246a320 added is_unitT;
wenzelm
parents: 8768
diff changeset
    46
  val is_unitT: typ -> bool
4571
6b02fc8a97f6 added unit and prod stuff;
wenzelm
parents: 4466
diff changeset
    47
  val unit: term
6b02fc8a97f6 added unit and prod stuff;
wenzelm
parents: 4466
diff changeset
    48
  val is_unit: term -> bool
6b02fc8a97f6 added unit and prod stuff;
wenzelm
parents: 4466
diff changeset
    49
  val mk_prodT: typ * typ -> typ
6b02fc8a97f6 added unit and prod stuff;
wenzelm
parents: 4466
diff changeset
    50
  val dest_prodT: typ -> typ * typ
6b02fc8a97f6 added unit and prod stuff;
wenzelm
parents: 4466
diff changeset
    51
  val mk_prod: term * term -> term
6b02fc8a97f6 added unit and prod stuff;
wenzelm
parents: 4466
diff changeset
    52
  val dest_prod: term -> term * term
6b02fc8a97f6 added unit and prod stuff;
wenzelm
parents: 4466
diff changeset
    53
  val mk_fst: term -> term
6b02fc8a97f6 added unit and prod stuff;
wenzelm
parents: 4466
diff changeset
    54
  val mk_snd: term -> term
5096
84b00be693b4 Moved most of the Prod_Syntax - stuff to HOLogic.
berghofe
parents: 4571
diff changeset
    55
  val prodT_factors: typ -> typ list
84b00be693b4 Moved most of the Prod_Syntax - stuff to HOLogic.
berghofe
parents: 4571
diff changeset
    56
  val split_const: typ * typ * typ -> term
84b00be693b4 Moved most of the Prod_Syntax - stuff to HOLogic.
berghofe
parents: 4571
diff changeset
    57
  val mk_tuple: typ -> term list -> term
5207
wenzelm
parents: 5096
diff changeset
    58
  val natT: typ
wenzelm
parents: 5096
diff changeset
    59
  val zero: term
wenzelm
parents: 5096
diff changeset
    60
  val is_zero: term -> bool
wenzelm
parents: 5096
diff changeset
    61
  val mk_Suc: term -> term
wenzelm
parents: 5096
diff changeset
    62
  val dest_Suc: term -> term
wenzelm
parents: 5096
diff changeset
    63
  val mk_nat: int -> term
wenzelm
parents: 5096
diff changeset
    64
  val dest_nat: term -> int
7073
a959b4391fd8 added boolean and binary constants
paulson
parents: 6380
diff changeset
    65
  val intT: typ
7163
3a2f8fdf4dab added realT
paulson
parents: 7073
diff changeset
    66
  val realT: typ
7073
a959b4391fd8 added boolean and binary constants
paulson
parents: 6380
diff changeset
    67
  val binT: typ
a959b4391fd8 added boolean and binary constants
paulson
parents: 6380
diff changeset
    68
  val pls_const: term
a959b4391fd8 added boolean and binary constants
paulson
parents: 6380
diff changeset
    69
  val min_const: term
a959b4391fd8 added boolean and binary constants
paulson
parents: 6380
diff changeset
    70
  val bit_const: term
8768
9f18aba48519 number_of now takes a type arg
paulson
parents: 8739
diff changeset
    71
  val number_of_const: typ -> term
7548
9e29a3af64ab ROOT: Integ/bin_simprocs.ML now loaded in Integ/Bin.ML
nipkow
parents: 7163
diff changeset
    72
  val int_of: int list -> int
9e29a3af64ab ROOT: Integ/bin_simprocs.ML now loaded in Integ/Bin.ML
nipkow
parents: 7163
diff changeset
    73
  val dest_binum: term -> int
923
ff1574a81019 new version of HOL with curried function application
clasohm
parents:
diff changeset
    74
end;
ff1574a81019 new version of HOL with curried function application
clasohm
parents:
diff changeset
    75
2510
e3d0ac75c723 binary oprations and relations;
wenzelm
parents: 923
diff changeset
    76
923
ff1574a81019 new version of HOL with curried function application
clasohm
parents:
diff changeset
    77
structure HOLogic: HOLOGIC =
ff1574a81019 new version of HOL with curried function application
clasohm
parents:
diff changeset
    78
struct
ff1574a81019 new version of HOL with curried function application
clasohm
parents:
diff changeset
    79
2510
e3d0ac75c723 binary oprations and relations;
wenzelm
parents: 923
diff changeset
    80
(* basics *)
923
ff1574a81019 new version of HOL with curried function application
clasohm
parents:
diff changeset
    81
ff1574a81019 new version of HOL with curried function application
clasohm
parents:
diff changeset
    82
val termC: class = "term";
ff1574a81019 new version of HOL with curried function application
clasohm
parents:
diff changeset
    83
val termS: sort = [termC];
8100
6186ee807f2e replaced HOLogic.termTVar by HOLogic.termT;
wenzelm
parents: 7690
diff changeset
    84
val termT = TypeInfer.anyT termS;
923
ff1574a81019 new version of HOL with curried function application
clasohm
parents:
diff changeset
    85
ff1574a81019 new version of HOL with curried function application
clasohm
parents:
diff changeset
    86
2510
e3d0ac75c723 binary oprations and relations;
wenzelm
parents: 923
diff changeset
    87
(* bool and set *)
923
ff1574a81019 new version of HOL with curried function application
clasohm
parents:
diff changeset
    88
8275
32387a2c7749 added boolN;
wenzelm
parents: 8100
diff changeset
    89
val boolN = "bool";
32387a2c7749 added boolN;
wenzelm
parents: 8100
diff changeset
    90
val boolT = Type (boolN, []);
923
ff1574a81019 new version of HOL with curried function application
clasohm
parents:
diff changeset
    91
7073
a959b4391fd8 added boolean and binary constants
paulson
parents: 6380
diff changeset
    92
val true_const =  Const ("True", boolT)
a959b4391fd8 added boolean and binary constants
paulson
parents: 6380
diff changeset
    93
and false_const = Const ("False", boolT);
a959b4391fd8 added boolean and binary constants
paulson
parents: 6380
diff changeset
    94
923
ff1574a81019 new version of HOL with curried function application
clasohm
parents:
diff changeset
    95
fun mk_setT T = Type ("set", [T]);
ff1574a81019 new version of HOL with curried function application
clasohm
parents:
diff changeset
    96
ff1574a81019 new version of HOL with curried function application
clasohm
parents:
diff changeset
    97
fun dest_setT (Type ("set", [T])) = T
3794
d543bb9ab896 eliminated raise_term, raise_typ;
wenzelm
parents: 2510
diff changeset
    98
  | dest_setT T = raise TYPE ("dest_setT: set type expected", [T], []);
923
ff1574a81019 new version of HOL with curried function application
clasohm
parents:
diff changeset
    99
8275
32387a2c7749 added boolN;
wenzelm
parents: 8100
diff changeset
   100
7073
a959b4391fd8 added boolean and binary constants
paulson
parents: 6380
diff changeset
   101
(* logic *)
923
ff1574a81019 new version of HOL with curried function application
clasohm
parents:
diff changeset
   102
ff1574a81019 new version of HOL with curried function application
clasohm
parents:
diff changeset
   103
val Trueprop = Const ("Trueprop", boolT --> propT);
ff1574a81019 new version of HOL with curried function application
clasohm
parents:
diff changeset
   104
ff1574a81019 new version of HOL with curried function application
clasohm
parents:
diff changeset
   105
fun mk_Trueprop P = Trueprop $ P;
ff1574a81019 new version of HOL with curried function application
clasohm
parents:
diff changeset
   106
9473
7d13a5ace928 added atomic_Trueprop;
wenzelm
parents: 9362
diff changeset
   107
fun atomic_Trueprop x = mk_Trueprop (Free (x, boolT));
7d13a5ace928 added atomic_Trueprop;
wenzelm
parents: 9362
diff changeset
   108
923
ff1574a81019 new version of HOL with curried function application
clasohm
parents:
diff changeset
   109
fun dest_Trueprop (Const ("Trueprop", _) $ P) = P
3794
d543bb9ab896 eliminated raise_term, raise_typ;
wenzelm
parents: 2510
diff changeset
   110
  | dest_Trueprop t = raise TERM ("dest_Trueprop", [t]);
923
ff1574a81019 new version of HOL with curried function application
clasohm
parents:
diff changeset
   111
ff1574a81019 new version of HOL with curried function application
clasohm
parents:
diff changeset
   112
ff1574a81019 new version of HOL with curried function application
clasohm
parents:
diff changeset
   113
val conj = Const ("op &", [boolT, boolT] ---> boolT)
ff1574a81019 new version of HOL with curried function application
clasohm
parents:
diff changeset
   114
and disj = Const ("op |", [boolT, boolT] ---> boolT)
8429
515fa7533354 added Not;
wenzelm
parents: 8302
diff changeset
   115
and imp = Const ("op -->", [boolT, boolT] ---> boolT)
515fa7533354 added Not;
wenzelm
parents: 8302
diff changeset
   116
and Not = Const ("Not", boolT --> boolT);
923
ff1574a81019 new version of HOL with curried function application
clasohm
parents:
diff changeset
   117
7690
27676b51243d added mk_conj, mk_disj, mk_imp;
wenzelm
parents: 7548
diff changeset
   118
fun mk_conj (t1, t2) = conj $ t1 $ t2
27676b51243d added mk_conj, mk_disj, mk_imp;
wenzelm
parents: 7548
diff changeset
   119
and mk_disj (t1, t2) = disj $ t1 $ t2
27676b51243d added mk_conj, mk_disj, mk_imp;
wenzelm
parents: 7548
diff changeset
   120
and mk_imp (t1, t2) = imp $ t1 $ t2;
27676b51243d added mk_conj, mk_disj, mk_imp;
wenzelm
parents: 7548
diff changeset
   121
4466
305390f23734 Better equality handling in Blast_tac, usingd a new variant of hyp_subst_tac
paulson
parents: 4294
diff changeset
   122
fun dest_imp (Const("op -->",_) $ A $ B) = (A, B)
305390f23734 Better equality handling in Blast_tac, usingd a new variant of hyp_subst_tac
paulson
parents: 4294
diff changeset
   123
  | dest_imp  t = raise TERM ("dest_imp", [t]);
305390f23734 Better equality handling in Blast_tac, usingd a new variant of hyp_subst_tac
paulson
parents: 4294
diff changeset
   124
8302
da404f79c1fc added dest_conj;
wenzelm
parents: 8275
diff changeset
   125
fun dest_conj (Const ("op &", _) $ t $ t') = t :: dest_conj t'
da404f79c1fc added dest_conj;
wenzelm
parents: 8275
diff changeset
   126
  | dest_conj t = [t];
da404f79c1fc added dest_conj;
wenzelm
parents: 8275
diff changeset
   127
923
ff1574a81019 new version of HOL with curried function application
clasohm
parents:
diff changeset
   128
fun eq_const T = Const ("op =", [T, T] ---> boolT);
ff1574a81019 new version of HOL with curried function application
clasohm
parents:
diff changeset
   129
fun mk_eq (t, u) = eq_const (fastype_of t) $ t $ u;
ff1574a81019 new version of HOL with curried function application
clasohm
parents:
diff changeset
   130
6031
d9fa148383e2 new function dest_eq
paulson
parents: 5207
diff changeset
   131
fun dest_eq (Const ("op =", _) $ lhs $ rhs) = (lhs, rhs)
d9fa148383e2 new function dest_eq
paulson
parents: 5207
diff changeset
   132
  | dest_eq t = raise TERM ("dest_eq", [t])
d9fa148383e2 new function dest_eq
paulson
parents: 5207
diff changeset
   133
923
ff1574a81019 new version of HOL with curried function application
clasohm
parents:
diff changeset
   134
fun all_const T = Const ("All", [T --> boolT] ---> boolT);
ff1574a81019 new version of HOL with curried function application
clasohm
parents:
diff changeset
   135
fun mk_all (x, T, P) = all_const T $ absfree (x, T, P);
ff1574a81019 new version of HOL with curried function application
clasohm
parents:
diff changeset
   136
ff1574a81019 new version of HOL with curried function application
clasohm
parents:
diff changeset
   137
fun exists_const T = Const ("Ex", [T --> boolT] ---> boolT);
ff1574a81019 new version of HOL with curried function application
clasohm
parents:
diff changeset
   138
fun mk_exists (x, T, P) = exists_const T $ absfree (x, T, P);
ff1574a81019 new version of HOL with curried function application
clasohm
parents:
diff changeset
   139
ff1574a81019 new version of HOL with curried function application
clasohm
parents:
diff changeset
   140
fun Collect_const T = Const ("Collect", [T --> boolT] ---> mk_setT T);
ff1574a81019 new version of HOL with curried function application
clasohm
parents:
diff changeset
   141
fun mk_Collect (a, T, t) = Collect_const T $ absfree (a, T, t);
ff1574a81019 new version of HOL with curried function application
clasohm
parents:
diff changeset
   142
ff1574a81019 new version of HOL with curried function application
clasohm
parents:
diff changeset
   143
fun mk_mem (x, A) =
ff1574a81019 new version of HOL with curried function application
clasohm
parents:
diff changeset
   144
  let val setT = fastype_of A in
ff1574a81019 new version of HOL with curried function application
clasohm
parents:
diff changeset
   145
    Const ("op :", [dest_setT setT, setT] ---> boolT) $ x $ A
ff1574a81019 new version of HOL with curried function application
clasohm
parents:
diff changeset
   146
  end;
ff1574a81019 new version of HOL with curried function application
clasohm
parents:
diff changeset
   147
6380
32fda1090a13 added dest_mem;
wenzelm
parents: 6031
diff changeset
   148
fun dest_mem (Const ("op :", _) $ x $ A) = (x, A)
32fda1090a13 added dest_mem;
wenzelm
parents: 6031
diff changeset
   149
  | dest_mem t = raise TERM ("dest_mem", [t]);
32fda1090a13 added dest_mem;
wenzelm
parents: 6031
diff changeset
   150
923
ff1574a81019 new version of HOL with curried function application
clasohm
parents:
diff changeset
   151
2510
e3d0ac75c723 binary oprations and relations;
wenzelm
parents: 923
diff changeset
   152
(* binary oprations and relations *)
e3d0ac75c723 binary oprations and relations;
wenzelm
parents: 923
diff changeset
   153
e3d0ac75c723 binary oprations and relations;
wenzelm
parents: 923
diff changeset
   154
fun mk_binop c (t, u) =
e3d0ac75c723 binary oprations and relations;
wenzelm
parents: 923
diff changeset
   155
  let val T = fastype_of t in
e3d0ac75c723 binary oprations and relations;
wenzelm
parents: 923
diff changeset
   156
    Const (c, [T, T] ---> T) $ t $ u
e3d0ac75c723 binary oprations and relations;
wenzelm
parents: 923
diff changeset
   157
  end;
e3d0ac75c723 binary oprations and relations;
wenzelm
parents: 923
diff changeset
   158
e3d0ac75c723 binary oprations and relations;
wenzelm
parents: 923
diff changeset
   159
fun mk_binrel c (t, u) =
e3d0ac75c723 binary oprations and relations;
wenzelm
parents: 923
diff changeset
   160
  let val T = fastype_of t in
e3d0ac75c723 binary oprations and relations;
wenzelm
parents: 923
diff changeset
   161
    Const (c, [T, T] ---> boolT) $ t $ u
e3d0ac75c723 binary oprations and relations;
wenzelm
parents: 923
diff changeset
   162
  end;
e3d0ac75c723 binary oprations and relations;
wenzelm
parents: 923
diff changeset
   163
e3d0ac75c723 binary oprations and relations;
wenzelm
parents: 923
diff changeset
   164
fun dest_bin c T (tm as Const (c', Type ("fun", [T', _])) $ t $ u) =
e3d0ac75c723 binary oprations and relations;
wenzelm
parents: 923
diff changeset
   165
      if c = c' andalso T = T' then (t, u)
3794
d543bb9ab896 eliminated raise_term, raise_typ;
wenzelm
parents: 2510
diff changeset
   166
      else raise TERM ("dest_bin " ^ c, [tm])
d543bb9ab896 eliminated raise_term, raise_typ;
wenzelm
parents: 2510
diff changeset
   167
  | dest_bin c _ tm = raise TERM ("dest_bin " ^ c, [tm]);
2510
e3d0ac75c723 binary oprations and relations;
wenzelm
parents: 923
diff changeset
   168
e3d0ac75c723 binary oprations and relations;
wenzelm
parents: 923
diff changeset
   169
4571
6b02fc8a97f6 added unit and prod stuff;
wenzelm
parents: 4466
diff changeset
   170
(* unit *)
6b02fc8a97f6 added unit and prod stuff;
wenzelm
parents: 4466
diff changeset
   171
6b02fc8a97f6 added unit and prod stuff;
wenzelm
parents: 4466
diff changeset
   172
val unitT = Type ("unit", []);
6b02fc8a97f6 added unit and prod stuff;
wenzelm
parents: 4466
diff changeset
   173
9362
b78d4246a320 added is_unitT;
wenzelm
parents: 8768
diff changeset
   174
fun is_unitT (Type ("unit", [])) = true
b78d4246a320 added is_unitT;
wenzelm
parents: 8768
diff changeset
   175
  | is_unitT _ = false;
b78d4246a320 added is_unitT;
wenzelm
parents: 8768
diff changeset
   176
4571
6b02fc8a97f6 added unit and prod stuff;
wenzelm
parents: 4466
diff changeset
   177
val unit = Const ("()", unitT);
6b02fc8a97f6 added unit and prod stuff;
wenzelm
parents: 4466
diff changeset
   178
6b02fc8a97f6 added unit and prod stuff;
wenzelm
parents: 4466
diff changeset
   179
fun is_unit (Const ("()", _)) = true
6b02fc8a97f6 added unit and prod stuff;
wenzelm
parents: 4466
diff changeset
   180
  | is_unit _ = false;
6b02fc8a97f6 added unit and prod stuff;
wenzelm
parents: 4466
diff changeset
   181
6b02fc8a97f6 added unit and prod stuff;
wenzelm
parents: 4466
diff changeset
   182
6b02fc8a97f6 added unit and prod stuff;
wenzelm
parents: 4466
diff changeset
   183
(* prod *)
6b02fc8a97f6 added unit and prod stuff;
wenzelm
parents: 4466
diff changeset
   184
6b02fc8a97f6 added unit and prod stuff;
wenzelm
parents: 4466
diff changeset
   185
fun mk_prodT (T1, T2) = Type ("*", [T1, T2]);
6b02fc8a97f6 added unit and prod stuff;
wenzelm
parents: 4466
diff changeset
   186
6b02fc8a97f6 added unit and prod stuff;
wenzelm
parents: 4466
diff changeset
   187
fun dest_prodT (Type ("*", [T1, T2])) = (T1, T2)
6b02fc8a97f6 added unit and prod stuff;
wenzelm
parents: 4466
diff changeset
   188
  | dest_prodT T = raise TYPE ("dest_prodT", [T], []);
6b02fc8a97f6 added unit and prod stuff;
wenzelm
parents: 4466
diff changeset
   189
6b02fc8a97f6 added unit and prod stuff;
wenzelm
parents: 4466
diff changeset
   190
fun mk_prod (t1, t2) =
6b02fc8a97f6 added unit and prod stuff;
wenzelm
parents: 4466
diff changeset
   191
  let val T1 = fastype_of t1 and T2 = fastype_of t2 in
6b02fc8a97f6 added unit and prod stuff;
wenzelm
parents: 4466
diff changeset
   192
    Const ("Pair", [T1, T2] ---> mk_prodT (T1, T2)) $ t1 $ t2
6b02fc8a97f6 added unit and prod stuff;
wenzelm
parents: 4466
diff changeset
   193
  end;
6b02fc8a97f6 added unit and prod stuff;
wenzelm
parents: 4466
diff changeset
   194
6b02fc8a97f6 added unit and prod stuff;
wenzelm
parents: 4466
diff changeset
   195
fun dest_prod (Const ("Pair", _) $ t1 $ t2) = (t1, t2)
6b02fc8a97f6 added unit and prod stuff;
wenzelm
parents: 4466
diff changeset
   196
  | dest_prod t = raise TERM ("dest_prod", [t]);
6b02fc8a97f6 added unit and prod stuff;
wenzelm
parents: 4466
diff changeset
   197
6b02fc8a97f6 added unit and prod stuff;
wenzelm
parents: 4466
diff changeset
   198
fun mk_fst p =
6b02fc8a97f6 added unit and prod stuff;
wenzelm
parents: 4466
diff changeset
   199
  let val pT = fastype_of p in
6b02fc8a97f6 added unit and prod stuff;
wenzelm
parents: 4466
diff changeset
   200
    Const ("fst", pT --> fst (dest_prodT pT)) $ p
6b02fc8a97f6 added unit and prod stuff;
wenzelm
parents: 4466
diff changeset
   201
  end;
6b02fc8a97f6 added unit and prod stuff;
wenzelm
parents: 4466
diff changeset
   202
6b02fc8a97f6 added unit and prod stuff;
wenzelm
parents: 4466
diff changeset
   203
fun mk_snd p =
6b02fc8a97f6 added unit and prod stuff;
wenzelm
parents: 4466
diff changeset
   204
  let val pT = fastype_of p in
6b02fc8a97f6 added unit and prod stuff;
wenzelm
parents: 4466
diff changeset
   205
    Const ("snd", pT --> snd (dest_prodT pT)) $ p
6b02fc8a97f6 added unit and prod stuff;
wenzelm
parents: 4466
diff changeset
   206
  end;
6b02fc8a97f6 added unit and prod stuff;
wenzelm
parents: 4466
diff changeset
   207
5096
84b00be693b4 Moved most of the Prod_Syntax - stuff to HOLogic.
berghofe
parents: 4571
diff changeset
   208
(*Maps the type T1 * ... * Tn to [T1, ..., Tn], however nested*)
84b00be693b4 Moved most of the Prod_Syntax - stuff to HOLogic.
berghofe
parents: 4571
diff changeset
   209
fun prodT_factors (Type ("*", [T1, T2])) = prodT_factors T1 @ prodT_factors T2
84b00be693b4 Moved most of the Prod_Syntax - stuff to HOLogic.
berghofe
parents: 4571
diff changeset
   210
  | prodT_factors T = [T];
84b00be693b4 Moved most of the Prod_Syntax - stuff to HOLogic.
berghofe
parents: 4571
diff changeset
   211
84b00be693b4 Moved most of the Prod_Syntax - stuff to HOLogic.
berghofe
parents: 4571
diff changeset
   212
fun split_const (Ta, Tb, Tc) = 
84b00be693b4 Moved most of the Prod_Syntax - stuff to HOLogic.
berghofe
parents: 4571
diff changeset
   213
    Const ("split", [[Ta, Tb] ---> Tc, mk_prodT (Ta, Tb)] ---> Tc);
84b00be693b4 Moved most of the Prod_Syntax - stuff to HOLogic.
berghofe
parents: 4571
diff changeset
   214
84b00be693b4 Moved most of the Prod_Syntax - stuff to HOLogic.
berghofe
parents: 4571
diff changeset
   215
(*Makes a nested tuple from a list, following the product type structure*)
84b00be693b4 Moved most of the Prod_Syntax - stuff to HOLogic.
berghofe
parents: 4571
diff changeset
   216
fun mk_tuple (Type ("*", [T1, T2])) tms = 
84b00be693b4 Moved most of the Prod_Syntax - stuff to HOLogic.
berghofe
parents: 4571
diff changeset
   217
        mk_prod (mk_tuple T1 tms, 
84b00be693b4 Moved most of the Prod_Syntax - stuff to HOLogic.
berghofe
parents: 4571
diff changeset
   218
                 mk_tuple T2 (drop (length (prodT_factors T1), tms)))
84b00be693b4 Moved most of the Prod_Syntax - stuff to HOLogic.
berghofe
parents: 4571
diff changeset
   219
  | mk_tuple T (t::_) = t;
4571
6b02fc8a97f6 added unit and prod stuff;
wenzelm
parents: 4466
diff changeset
   220
5207
wenzelm
parents: 5096
diff changeset
   221
wenzelm
parents: 5096
diff changeset
   222
9362
b78d4246a320 added is_unitT;
wenzelm
parents: 8768
diff changeset
   223
(* proper tuples *)
b78d4246a320 added is_unitT;
wenzelm
parents: 8768
diff changeset
   224
b78d4246a320 added is_unitT;
wenzelm
parents: 8768
diff changeset
   225
local  (*currently unused*)
b78d4246a320 added is_unitT;
wenzelm
parents: 8768
diff changeset
   226
b78d4246a320 added is_unitT;
wenzelm
parents: 8768
diff changeset
   227
fun mk_tupleT Ts = foldr mk_prodT (Ts, unitT);
b78d4246a320 added is_unitT;
wenzelm
parents: 8768
diff changeset
   228
b78d4246a320 added is_unitT;
wenzelm
parents: 8768
diff changeset
   229
fun dest_tupleT (Type ("unit", [])) = []
b78d4246a320 added is_unitT;
wenzelm
parents: 8768
diff changeset
   230
  | dest_tupleT (Type ("*", [T, U])) = T :: dest_tupleT U
b78d4246a320 added is_unitT;
wenzelm
parents: 8768
diff changeset
   231
  | dest_tupleT T = raise TYPE ("dest_tupleT", [T], []);
b78d4246a320 added is_unitT;
wenzelm
parents: 8768
diff changeset
   232
b78d4246a320 added is_unitT;
wenzelm
parents: 8768
diff changeset
   233
fun mk_tuple ts = foldr mk_prod (ts, unit);
b78d4246a320 added is_unitT;
wenzelm
parents: 8768
diff changeset
   234
b78d4246a320 added is_unitT;
wenzelm
parents: 8768
diff changeset
   235
fun dest_tuple (Const ("()", _)) = []
b78d4246a320 added is_unitT;
wenzelm
parents: 8768
diff changeset
   236
  | dest_tuple (Const ("Pair", _) $ t $ u) = t :: dest_tuple u
b78d4246a320 added is_unitT;
wenzelm
parents: 8768
diff changeset
   237
  | dest_tuple t = raise TERM ("dest_tuple", [t]);
b78d4246a320 added is_unitT;
wenzelm
parents: 8768
diff changeset
   238
b78d4246a320 added is_unitT;
wenzelm
parents: 8768
diff changeset
   239
in val _ = unit end;
b78d4246a320 added is_unitT;
wenzelm
parents: 8768
diff changeset
   240
b78d4246a320 added is_unitT;
wenzelm
parents: 8768
diff changeset
   241
5207
wenzelm
parents: 5096
diff changeset
   242
(* nat *)
wenzelm
parents: 5096
diff changeset
   243
wenzelm
parents: 5096
diff changeset
   244
val natT = Type ("nat", []);
wenzelm
parents: 5096
diff changeset
   245
wenzelm
parents: 5096
diff changeset
   246
val zero = Const ("0", natT);
wenzelm
parents: 5096
diff changeset
   247
wenzelm
parents: 5096
diff changeset
   248
fun is_zero (Const ("0", _)) = true
wenzelm
parents: 5096
diff changeset
   249
  | is_zero _ = false;
wenzelm
parents: 5096
diff changeset
   250
wenzelm
parents: 5096
diff changeset
   251
fun mk_Suc t = Const ("Suc", natT --> natT) $ t;
wenzelm
parents: 5096
diff changeset
   252
wenzelm
parents: 5096
diff changeset
   253
fun dest_Suc (Const ("Suc", _) $ t) = t
wenzelm
parents: 5096
diff changeset
   254
  | dest_Suc t = raise TERM ("dest_Suc", [t]);
wenzelm
parents: 5096
diff changeset
   255
wenzelm
parents: 5096
diff changeset
   256
fun mk_nat 0 = zero
wenzelm
parents: 5096
diff changeset
   257
  | mk_nat n = mk_Suc (mk_nat (n - 1));
wenzelm
parents: 5096
diff changeset
   258
wenzelm
parents: 5096
diff changeset
   259
fun dest_nat (Const ("0", _)) = 0
wenzelm
parents: 5096
diff changeset
   260
  | dest_nat (Const ("Suc", _) $ t) = dest_nat t + 1
wenzelm
parents: 5096
diff changeset
   261
  | dest_nat t = raise TERM ("dest_nat", [t]);
wenzelm
parents: 5096
diff changeset
   262
wenzelm
parents: 5096
diff changeset
   263
7073
a959b4391fd8 added boolean and binary constants
paulson
parents: 6380
diff changeset
   264
val intT = Type ("IntDef.int", []);
a959b4391fd8 added boolean and binary constants
paulson
parents: 6380
diff changeset
   265
7163
3a2f8fdf4dab added realT
paulson
parents: 7073
diff changeset
   266
val realT = Type("RealDef.real",[]);
3a2f8fdf4dab added realT
paulson
parents: 7073
diff changeset
   267
7073
a959b4391fd8 added boolean and binary constants
paulson
parents: 6380
diff changeset
   268
a959b4391fd8 added boolean and binary constants
paulson
parents: 6380
diff changeset
   269
(* binary numerals *)
a959b4391fd8 added boolean and binary constants
paulson
parents: 6380
diff changeset
   270
a959b4391fd8 added boolean and binary constants
paulson
parents: 6380
diff changeset
   271
val binT = Type ("Numeral.bin", []);
a959b4391fd8 added boolean and binary constants
paulson
parents: 6380
diff changeset
   272
a959b4391fd8 added boolean and binary constants
paulson
parents: 6380
diff changeset
   273
val pls_const =  Const ("Numeral.bin.Pls", binT)
a959b4391fd8 added boolean and binary constants
paulson
parents: 6380
diff changeset
   274
and min_const = Const ("Numeral.bin.Min", binT)
8768
9f18aba48519 number_of now takes a type arg
paulson
parents: 8739
diff changeset
   275
and bit_const = Const ("Numeral.bin.Bit", [binT, boolT] ---> binT);
9f18aba48519 number_of now takes a type arg
paulson
parents: 8739
diff changeset
   276
9f18aba48519 number_of now takes a type arg
paulson
parents: 8739
diff changeset
   277
fun number_of_const T = Const ("Numeral.number_of", binT --> T);
8739
60a1ed9e3c34 added number_of_const: term
paulson
parents: 8429
diff changeset
   278
7073
a959b4391fd8 added boolean and binary constants
paulson
parents: 6380
diff changeset
   279
7548
9e29a3af64ab ROOT: Integ/bin_simprocs.ML now loaded in Integ/Bin.ML
nipkow
parents: 7163
diff changeset
   280
fun int_of [] = 0
9e29a3af64ab ROOT: Integ/bin_simprocs.ML now loaded in Integ/Bin.ML
nipkow
parents: 7163
diff changeset
   281
  | int_of (b :: bs) = b + 2 * int_of bs;
9e29a3af64ab ROOT: Integ/bin_simprocs.ML now loaded in Integ/Bin.ML
nipkow
parents: 7163
diff changeset
   282
9e29a3af64ab ROOT: Integ/bin_simprocs.ML now loaded in Integ/Bin.ML
nipkow
parents: 7163
diff changeset
   283
fun dest_bit (Const ("False", _)) = 0
9e29a3af64ab ROOT: Integ/bin_simprocs.ML now loaded in Integ/Bin.ML
nipkow
parents: 7163
diff changeset
   284
  | dest_bit (Const ("True", _)) = 1
9e29a3af64ab ROOT: Integ/bin_simprocs.ML now loaded in Integ/Bin.ML
nipkow
parents: 7163
diff changeset
   285
  | dest_bit t = raise TERM("dest_bit", [t]);
9e29a3af64ab ROOT: Integ/bin_simprocs.ML now loaded in Integ/Bin.ML
nipkow
parents: 7163
diff changeset
   286
9e29a3af64ab ROOT: Integ/bin_simprocs.ML now loaded in Integ/Bin.ML
nipkow
parents: 7163
diff changeset
   287
fun bin_of (Const ("Numeral.bin.Pls", _)) = []
9e29a3af64ab ROOT: Integ/bin_simprocs.ML now loaded in Integ/Bin.ML
nipkow
parents: 7163
diff changeset
   288
  | bin_of (Const ("Numeral.bin.Min", _)) = [~1]
9e29a3af64ab ROOT: Integ/bin_simprocs.ML now loaded in Integ/Bin.ML
nipkow
parents: 7163
diff changeset
   289
  | bin_of (Const ("Numeral.bin.Bit", _) $ bs $ b) = dest_bit b :: bin_of bs
9e29a3af64ab ROOT: Integ/bin_simprocs.ML now loaded in Integ/Bin.ML
nipkow
parents: 7163
diff changeset
   290
  | bin_of t = raise TERM("bin_of", [t]);
9e29a3af64ab ROOT: Integ/bin_simprocs.ML now loaded in Integ/Bin.ML
nipkow
parents: 7163
diff changeset
   291
9e29a3af64ab ROOT: Integ/bin_simprocs.ML now loaded in Integ/Bin.ML
nipkow
parents: 7163
diff changeset
   292
val dest_binum = int_of o bin_of;
9e29a3af64ab ROOT: Integ/bin_simprocs.ML now loaded in Integ/Bin.ML
nipkow
parents: 7163
diff changeset
   293
923
ff1574a81019 new version of HOL with curried function application
clasohm
parents:
diff changeset
   294
end;