1700
|
1 |
(* Title: HOL/IMP/Natural.ML
|
|
2 |
ID: $Id$
|
|
3 |
Author: Tobias Nipkow & Larry Paulson, TUM
|
|
4 |
Copyright 1996 TUM
|
|
5 |
*)
|
|
6 |
|
|
7 |
open Natural;
|
|
8 |
|
|
9 |
val evalc_elim_cases = map (evalc.mk_cases com.simps)
|
|
10 |
["<SKIP,s> -c-> t", "<x:=a,s> -c-> t", "<c1;c2, s> -c-> t",
|
|
11 |
"<IF b THEN c1 ELSE c2, s> -c-> t"];
|
|
12 |
|
|
13 |
val evalc_WHILE_case = evalc.mk_cases com.simps "<WHILE b DO c,s> -c-> t";
|
|
14 |
|
|
15 |
val evalc_cs = set_cs addSEs evalc_elim_cases
|
|
16 |
addEs [evalc_WHILE_case];
|
|
17 |
|
|
18 |
(* evaluation of com is deterministic *)
|
1730
|
19 |
goal Natural.thy "!!c s t. <c,s> -c-> t ==> (!u. <c,s> -c-> u --> u=t)";
|
|
20 |
by (etac evalc.induct 1);
|
1958
|
21 |
by (thin_tac "<?c,s2> -c-> s1" 7);
|
1700
|
22 |
by (ALLGOALS (deepen_tac evalc_cs 4));
|
|
23 |
qed_spec_mp "com_det";
|