author | chaieb |
Sun, 08 Jul 2007 19:01:32 +0200 | |
changeset 23650 | 0a6a719d24d5 |
parent 23576 | 1ffe739e5ee0 |
child 23745 | 28df61d931e2 |
permissions | -rw-r--r-- |
923 | 1 |
(* Title: HOL/hologic.ML |
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ID: $Id$ |
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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 boolN: string |
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val boolT: typ |
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val true_const: term |
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val false_const: term |
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val mk_setT: typ -> typ |
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val dest_setT: typ -> typ |
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val Trueprop: term |
923 | 19 |
val mk_Trueprop: term -> term |
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val dest_Trueprop: term -> 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 dest_imp: term -> term * term |
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val dest_not: term -> term |
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val dest_concls: term -> term list |
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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 Collect_const: typ -> term |
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val mk_Collect: string * typ * term -> term |
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val class_eq: string |
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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_UNIV: typ -> term |
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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 prodT_factors: typ -> typ list |
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val mk_tuple: typ -> term list -> term |
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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: integer -> term |
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val dest_nat: term -> integer |
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val class_size: string |
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val size_const: typ -> term |
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val bitT: typ |
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val B0_const: term |
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val B1_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 intT: typ |
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val pls_const: term |
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val min_const: term |
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val bit_const: term |
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val mk_numeral: integer -> term |
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val dest_numeral: term -> integer |
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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 -> integer -> term |
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val dest_number: term -> typ * integer |
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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 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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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 = TypeInfer.anyT typeS; |
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(* bool and set *) |
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val boolN = "bool"; |
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val boolT = Type (boolN, []); |
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val true_const = Const ("True", boolT); |
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val false_const = Const ("False", boolT); |
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fun mk_setT T = Type ("set", [T]); |
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fun dest_setT (Type ("set", [T])) = T |
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| dest_setT T = raise TYPE ("dest_setT: set type expected", [T], []); |
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(* logic *) |
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val Trueprop = Const ("Trueprop", boolT --> propT); |
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fun mk_Trueprop P = Trueprop $ P; |
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fun dest_Trueprop (Const ("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 (ObjectLogic.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 (ObjectLogic.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 "op &"} |
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and disj = @{term "op |"} |
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and imp = @{term "op -->"} |
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and Not = @{term "Not"}; |
923 | 166 |
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7690 | 167 |
fun mk_conj (t1, t2) = conj $ t1 $ t2 |
168 |
and mk_disj (t1, t2) = disj $ t1 $ t2 |
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16835 | 169 |
and mk_imp (t1, t2) = imp $ t1 $ t2 |
170 |
and mk_not t = Not $ t; |
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7690 | 171 |
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15151 | 172 |
fun dest_conj (Const ("op &", _) $ t $ t') = t :: dest_conj t' |
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| dest_conj t = [t]; |
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15945 | 175 |
fun dest_disj (Const ("op |", _) $ t $ t') = t :: dest_disj t' |
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| dest_disj t = [t]; |
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fun dest_imp (Const("op -->",_) $ A $ B) = (A, B) |
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| dest_imp t = raise TERM ("dest_imp", [t]); |
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15151 | 181 |
fun dest_not (Const ("Not", _) $ t) = t |
182 |
| dest_not t = raise TERM ("dest_not", [t]); |
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8302 | 183 |
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11683 | 184 |
fun imp_concl_of t = imp_concl_of (#2 (dest_imp t)) handle TERM _ => t; |
185 |
val dest_concls = map imp_concl_of o dest_conj o dest_Trueprop; |
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923 | 187 |
fun eq_const T = Const ("op =", [T, T] ---> boolT); |
188 |
fun mk_eq (t, u) = eq_const (fastype_of t) $ t $ u; |
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6031 | 190 |
fun dest_eq (Const ("op =", _) $ lhs $ rhs) = (lhs, rhs) |
191 |
| dest_eq t = raise TERM ("dest_eq", [t]) |
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923 | 193 |
fun all_const T = Const ("All", [T --> boolT] ---> boolT); |
194 |
fun mk_all (x, T, P) = all_const T $ absfree (x, T, P); |
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195 |
fun list_all (xs, t) = fold_rev (fn (x, T) => fn P => all_const T $ Abs (x, T, P)) xs t; |
923 | 196 |
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197 |
fun exists_const T = Const ("Ex", [T --> boolT] ---> boolT); |
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198 |
fun mk_exists (x, T, P) = exists_const T $ absfree (x, T, P); |
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21755 | 200 |
fun choice_const T = Const("Hilbert_Choice.Eps", (T --> boolT) --> T); |
15945 | 201 |
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923 | 202 |
fun Collect_const T = Const ("Collect", [T --> boolT] ---> mk_setT T); |
203 |
fun mk_Collect (a, T, t) = Collect_const T $ absfree (a, T, t); |
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23247 | 205 |
val class_eq = "HOL.eq"; |
21045 | 206 |
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923 | 207 |
fun mk_mem (x, A) = |
208 |
let val setT = fastype_of A in |
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209 |
Const ("op :", [dest_setT setT, setT] ---> boolT) $ x $ A |
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210 |
end; |
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211 |
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6380 | 212 |
fun dest_mem (Const ("op :", _) $ x $ A) = (x, A) |
213 |
| dest_mem t = raise TERM ("dest_mem", [t]); |
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11818 | 215 |
fun mk_UNIV T = Const ("UNIV", mk_setT T); |
216 |
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923 | 217 |
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218 |
(* binary operations and relations *) |
2510 | 219 |
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220 |
fun mk_binop c (t, u) = |
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221 |
let val T = fastype_of t in |
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222 |
Const (c, [T, T] ---> T) $ t $ u |
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223 |
end; |
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224 |
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225 |
fun mk_binrel c (t, u) = |
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226 |
let val T = fastype_of t in |
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Const (c, [T, T] ---> boolT) $ t $ u |
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228 |
end; |
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230 |
(*destruct the application of a binary operator. The dummyT case is a crude |
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231 |
way of handling polymorphic operators.*) |
2510 | 232 |
fun dest_bin c T (tm as Const (c', Type ("fun", [T', _])) $ t $ u) = |
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233 |
if c = c' andalso (T=T' orelse T=dummyT) then (t, u) |
3794 | 234 |
else raise TERM ("dest_bin " ^ c, [tm]) |
235 |
| dest_bin c _ tm = raise TERM ("dest_bin " ^ c, [tm]); |
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2510 | 236 |
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237 |
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4571 | 238 |
(* unit *) |
239 |
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11604 | 240 |
val unitT = Type ("Product_Type.unit", []); |
4571 | 241 |
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11604 | 242 |
fun is_unitT (Type ("Product_Type.unit", [])) = true |
9362 | 243 |
| is_unitT _ = false; |
244 |
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11604 | 245 |
val unit = Const ("Product_Type.Unity", unitT); |
4571 | 246 |
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11604 | 247 |
fun is_unit (Const ("Product_Type.Unity", _)) = true |
4571 | 248 |
| is_unit _ = false; |
249 |
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251 |
(* prod *) |
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252 |
||
253 |
fun mk_prodT (T1, T2) = Type ("*", [T1, T2]); |
|
254 |
||
255 |
fun dest_prodT (Type ("*", [T1, T2])) = (T1, T2) |
|
256 |
| dest_prodT T = raise TYPE ("dest_prodT", [T], []); |
|
257 |
||
14048 | 258 |
fun pair_const T1 T2 = Const ("Pair", [T1, T2] ---> mk_prodT (T1, T2)); |
259 |
||
4571 | 260 |
fun mk_prod (t1, t2) = |
261 |
let val T1 = fastype_of t1 and T2 = fastype_of t2 in |
|
14048 | 262 |
pair_const T1 T2 $ t1 $ t2 |
4571 | 263 |
end; |
264 |
||
265 |
fun dest_prod (Const ("Pair", _) $ t1 $ t2) = (t1, t2) |
|
266 |
| dest_prod t = raise TERM ("dest_prod", [t]); |
|
267 |
||
268 |
fun mk_fst p = |
|
269 |
let val pT = fastype_of p in |
|
270 |
Const ("fst", pT --> fst (dest_prodT pT)) $ p |
|
271 |
end; |
|
272 |
||
273 |
fun mk_snd p = |
|
274 |
let val pT = fastype_of p in |
|
275 |
Const ("snd", pT --> snd (dest_prodT pT)) $ p |
|
276 |
end; |
|
277 |
||
18285 | 278 |
fun split_const (A, B, C) = |
279 |
Const ("split", (A --> B --> C) --> mk_prodT (A, B) --> C); |
|
280 |
||
281 |
fun mk_split t = |
|
282 |
(case Term.fastype_of t of |
|
283 |
T as (Type ("fun", [A, Type ("fun", [B, C])])) => |
|
284 |
Const ("split", T --> mk_prodT (A, B) --> C) $ t |
|
285 |
| _ => raise TERM ("mk_split: bad body type", [t])); |
|
286 |
||
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Moved most of the Prod_Syntax - stuff to HOLogic.
berghofe
parents:
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diff
changeset
|
287 |
(*Maps the type T1 * ... * Tn to [T1, ..., Tn], however nested*) |
84b00be693b4
Moved most of the Prod_Syntax - stuff to HOLogic.
berghofe
parents:
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diff
changeset
|
288 |
fun prodT_factors (Type ("*", [T1, T2])) = prodT_factors T1 @ prodT_factors T2 |
84b00be693b4
Moved most of the Prod_Syntax - stuff to HOLogic.
berghofe
parents:
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diff
changeset
|
289 |
| prodT_factors T = [T]; |
84b00be693b4
Moved most of the Prod_Syntax - stuff to HOLogic.
berghofe
parents:
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diff
changeset
|
290 |
|
84b00be693b4
Moved most of the Prod_Syntax - stuff to HOLogic.
berghofe
parents:
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diff
changeset
|
291 |
(*Makes a nested tuple from a list, following the product type structure*) |
16971 | 292 |
fun mk_tuple (Type ("*", [T1, T2])) tms = |
293 |
mk_prod (mk_tuple T1 tms, |
|
15570 | 294 |
mk_tuple T2 (Library.drop (length (prodT_factors T1), tms))) |
5096
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Moved most of the Prod_Syntax - stuff to HOLogic.
berghofe
parents:
4571
diff
changeset
|
295 |
| mk_tuple T (t::_) = t; |
4571 | 296 |
|
5207 | 297 |
|
298 |
(* nat *) |
|
299 |
||
300 |
val natT = Type ("nat", []); |
|
301 |
||
22994 | 302 |
val zero = Const ("HOL.zero_class.zero", natT); |
5207 | 303 |
|
22994 | 304 |
fun is_zero (Const ("HOL.zero_class.zero", _)) = true |
5207 | 305 |
| is_zero _ = false; |
306 |
||
307 |
fun mk_Suc t = Const ("Suc", natT --> natT) $ t; |
|
308 |
||
309 |
fun dest_Suc (Const ("Suc", _) $ t) = t |
|
310 |
| dest_Suc t = raise TERM ("dest_Suc", [t]); |
|
311 |
||
21621 | 312 |
val Suc_zero = mk_Suc zero; |
313 |
||
23297 | 314 |
fun mk_nat (n: integer) = |
22994 | 315 |
let |
316 |
fun mk 0 = zero |
|
23297 | 317 |
| mk n = mk_Suc (mk (n - 1)); |
23576
1ffe739e5ee0
removed dest_cTrueprop (cf. ObjectLogic.dest_judgment);
wenzelm
parents:
23566
diff
changeset
|
318 |
in if n < 0 then raise TERM ("mk_nat: negative number", []) else mk n end; |
5207 | 319 |
|
23297 | 320 |
fun dest_nat (Const ("HOL.zero_class.zero", _)) = (0: integer) |
321 |
| dest_nat (Const ("Suc", _) $ t) = dest_nat t + 1 |
|
5207 | 322 |
| dest_nat t = raise TERM ("dest_nat", [t]); |
323 |
||
22994 | 324 |
val class_size = "Nat.size"; |
325 |
||
326 |
fun size_const T = Const ("Nat.size_class.size", T --> natT); |
|
327 |
||
5207 | 328 |
|
21778
66440bf72cdc
binary numerals: restricted to actual abstract syntax;
wenzelm
parents:
21755
diff
changeset
|
329 |
(* bit *) |
7073 | 330 |
|
15620
8ccdc8bc66a2
replaced bool by a new datatype "bit" for binary numerals
paulson
parents:
15595
diff
changeset
|
331 |
val bitT = Type ("Numeral.bit", []); |
8ccdc8bc66a2
replaced bool by a new datatype "bit" for binary numerals
paulson
parents:
15595
diff
changeset
|
332 |
|
8ccdc8bc66a2
replaced bool by a new datatype "bit" for binary numerals
paulson
parents:
15595
diff
changeset
|
333 |
val B0_const = Const ("Numeral.bit.B0", bitT); |
8ccdc8bc66a2
replaced bool by a new datatype "bit" for binary numerals
paulson
parents:
15595
diff
changeset
|
334 |
val B1_const = Const ("Numeral.bit.B1", bitT); |
8ccdc8bc66a2
replaced bool by a new datatype "bit" for binary numerals
paulson
parents:
15595
diff
changeset
|
335 |
|
21778
66440bf72cdc
binary numerals: restricted to actual abstract syntax;
wenzelm
parents:
21755
diff
changeset
|
336 |
fun mk_bit 0 = B0_const |
66440bf72cdc
binary numerals: restricted to actual abstract syntax;
wenzelm
parents:
21755
diff
changeset
|
337 |
| mk_bit 1 = B1_const |
66440bf72cdc
binary numerals: restricted to actual abstract syntax;
wenzelm
parents:
21755
diff
changeset
|
338 |
| mk_bit _ = raise TERM ("mk_bit", []); |
66440bf72cdc
binary numerals: restricted to actual abstract syntax;
wenzelm
parents:
21755
diff
changeset
|
339 |
|
66440bf72cdc
binary numerals: restricted to actual abstract syntax;
wenzelm
parents:
21755
diff
changeset
|
340 |
fun dest_bit (Const ("Numeral.bit.B0", _)) = 0 |
66440bf72cdc
binary numerals: restricted to actual abstract syntax;
wenzelm
parents:
21755
diff
changeset
|
341 |
| dest_bit (Const ("Numeral.bit.B1", _)) = 1 |
66440bf72cdc
binary numerals: restricted to actual abstract syntax;
wenzelm
parents:
21755
diff
changeset
|
342 |
| dest_bit t = raise TERM ("dest_bit", [t]); |
66440bf72cdc
binary numerals: restricted to actual abstract syntax;
wenzelm
parents:
21755
diff
changeset
|
343 |
|
66440bf72cdc
binary numerals: restricted to actual abstract syntax;
wenzelm
parents:
21755
diff
changeset
|
344 |
|
66440bf72cdc
binary numerals: restricted to actual abstract syntax;
wenzelm
parents:
21755
diff
changeset
|
345 |
(* 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
|
346 |
|
66440bf72cdc
binary numerals: restricted to actual abstract syntax;
wenzelm
parents:
21755
diff
changeset
|
347 |
val intT = Type ("IntDef.int", []); |
66440bf72cdc
binary numerals: restricted to actual abstract syntax;
wenzelm
parents:
21755
diff
changeset
|
348 |
|
20485 | 349 |
val pls_const = Const ("Numeral.Pls", intT) |
350 |
and min_const = Const ("Numeral.Min", intT) |
|
23247 | 351 |
and bit_const = Const ("Numeral.Bit", intT --> bitT --> intT); |
8768 | 352 |
|
21829
016eff9c5699
simplified mk/dest_numeral (cf. mk/dest_binum of 1.65);
wenzelm
parents:
21820
diff
changeset
|
353 |
fun mk_numeral 0 = pls_const |
016eff9c5699
simplified mk/dest_numeral (cf. mk/dest_binum of 1.65);
wenzelm
parents:
21820
diff
changeset
|
354 |
| mk_numeral ~1 = min_const |
016eff9c5699
simplified mk/dest_numeral (cf. mk/dest_binum of 1.65);
wenzelm
parents:
21820
diff
changeset
|
355 |
| mk_numeral i = |
23247 | 356 |
let val (q, r) = Integer.divmod i 2 |
357 |
in bit_const $ mk_numeral q $ mk_bit (Integer.machine_int r) end; |
|
13755 | 358 |
|
21829
016eff9c5699
simplified mk/dest_numeral (cf. mk/dest_binum of 1.65);
wenzelm
parents:
21820
diff
changeset
|
359 |
fun dest_numeral (Const ("Numeral.Pls", _)) = 0 |
016eff9c5699
simplified mk/dest_numeral (cf. mk/dest_binum of 1.65);
wenzelm
parents:
21820
diff
changeset
|
360 |
| dest_numeral (Const ("Numeral.Min", _)) = ~1 |
016eff9c5699
simplified mk/dest_numeral (cf. mk/dest_binum of 1.65);
wenzelm
parents:
21820
diff
changeset
|
361 |
| dest_numeral (Const ("Numeral.Bit", _) $ bs $ b) = |
23297 | 362 |
2 * dest_numeral bs + Integer.int (dest_bit b) |
21829
016eff9c5699
simplified mk/dest_numeral (cf. mk/dest_binum of 1.65);
wenzelm
parents:
21820
diff
changeset
|
363 |
| dest_numeral t = raise TERM ("dest_numeral", [t]); |
13755 | 364 |
|
22994 | 365 |
fun number_of_const T = Const ("Numeral.number_class.number_of", intT --> T); |
21820
2f2b6a965ccc
introduced mk/dest_numeral/number for mk/dest_binum etc.
haftmann
parents:
21788
diff
changeset
|
366 |
|
23269 | 367 |
fun add_numerals (Const ("Numeral.number_class.number_of", Type (_, [_, T])) $ t) = cons (t, T) |
368 |
| add_numerals (t $ u) = add_numerals t #> add_numerals u |
|
369 |
| add_numerals (Abs (_, _, t)) = add_numerals t |
|
370 |
| add_numerals _ = I; |
|
22391 | 371 |
|
22994 | 372 |
fun mk_number T 0 = Const ("HOL.zero_class.zero", T) |
373 |
| mk_number T 1 = Const ("HOL.one_class.one", T) |
|
21820
2f2b6a965ccc
introduced mk/dest_numeral/number for mk/dest_binum etc.
haftmann
parents:
21788
diff
changeset
|
374 |
| 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
|
375 |
|
22994 | 376 |
fun dest_number (Const ("HOL.zero_class.zero", T)) = (T, 0) |
377 |
| dest_number (Const ("HOL.one_class.one", T)) = (T, 1) |
|
378 |
| dest_number (Const ("Numeral.number_class.number_of", Type ("fun", [_, T])) $ t) = |
|
379 |
(T, dest_numeral t) |
|
21820
2f2b6a965ccc
introduced mk/dest_numeral/number for mk/dest_binum etc.
haftmann
parents:
21788
diff
changeset
|
380 |
| dest_number t = raise TERM ("dest_number", [t]); |
13755 | 381 |
|
21829
016eff9c5699
simplified mk/dest_numeral (cf. mk/dest_binum of 1.65);
wenzelm
parents:
21820
diff
changeset
|
382 |
|
13755 | 383 |
(* real *) |
384 |
||
16971 | 385 |
val realT = Type ("RealDef.real", []); |
13755 | 386 |
|
387 |
||
21755 | 388 |
(* nibble *) |
389 |
||
390 |
val nibbleT = Type ("List.nibble", []); |
|
13755 | 391 |
|
21755 | 392 |
fun mk_nibble n = |
393 |
let val s = |
|
394 |
if 0 <= n andalso n <= 9 then chr (n + ord "0") |
|
395 |
else if 10 <= n andalso n <= 15 then chr (n + ord "A" - 10) |
|
396 |
else raise TERM ("mk_nibble", []) |
|
397 |
in Const ("List.nibble.Nibble" ^ s, nibbleT) end; |
|
17083 | 398 |
|
21755 | 399 |
fun dest_nibble t = |
400 |
let fun err () = raise TERM ("dest_nibble", [t]) in |
|
401 |
(case try (unprefix "List.nibble.Nibble" o fst o Term.dest_Const) t of |
|
402 |
NONE => err () |
|
403 |
| SOME c => |
|
404 |
if size c <> 1 then err () |
|
405 |
else if "0" <= c andalso c <= "9" then ord c - ord "0" |
|
406 |
else if "A" <= c andalso c <= "F" then ord c - ord "A" + 10 |
|
407 |
else err ()) |
|
408 |
end; |
|
15062 | 409 |
|
21455 | 410 |
|
411 |
(* char *) |
|
412 |
||
413 |
val charT = Type ("List.char", []); |
|
414 |
||
21755 | 415 |
fun mk_char n = |
416 |
if 0 <= n andalso n <= 255 then |
|
417 |
Const ("List.char.Char", nibbleT --> nibbleT --> charT) $ |
|
418 |
mk_nibble (n div 16) $ mk_nibble (n mod 16) |
|
419 |
else raise TERM ("mk_char", []); |
|
21455 | 420 |
|
21755 | 421 |
fun dest_char (Const ("List.char.Char", _) $ t $ u) = |
422 |
dest_nibble t * 16 + dest_nibble u |
|
423 |
| dest_char t = raise TERM ("dest_char", [t]); |
|
21455 | 424 |
|
21755 | 425 |
|
426 |
(* list *) |
|
21455 | 427 |
|
21755 | 428 |
fun listT T = Type ("List.list", [T]); |
21455 | 429 |
|
21755 | 430 |
fun mk_list T ts = |
21455 | 431 |
let |
21755 | 432 |
val lT = listT T; |
433 |
val Nil = Const ("List.list.Nil", lT); |
|
434 |
fun Cons t u = Const ("List.list.Cons", T --> lT --> lT) $ t $ u; |
|
435 |
in fold_rev Cons ts Nil end; |
|
436 |
||
437 |
fun dest_list (Const ("List.list.Nil", _)) = [] |
|
438 |
| dest_list (Const ("List.list.Cons", _) $ t $ u) = t :: dest_list u |
|
439 |
| dest_list t = raise TERM ("dest_list", [t]); |
|
21455 | 440 |
|
441 |
||
442 |
(* string *) |
|
443 |
||
21820
2f2b6a965ccc
introduced mk/dest_numeral/number for mk/dest_binum etc.
haftmann
parents:
21788
diff
changeset
|
444 |
val stringT = Type ("List.string", []); |
21455 | 445 |
|
21755 | 446 |
val mk_string = mk_list charT o map (mk_char o ord) o explode; |
447 |
val dest_string = implode o map (chr o dest_char) o dest_list; |
|
21455 | 448 |
|
923 | 449 |
end; |