IMP/Com.ML

--- /dev/null	Thu Jan 01 00:00:00 1970 +0000
+++ b/IMP/Com.ML	Fri Jan 19 12:49:36 1996 +0100
@@ -0,0 +1,30 @@
+(*  Title: 	HOL/IMP/Com.ML
+    ID:         $Id$
+    Author: 	Heiko Loetzbeyer & Robert Sandner, TUM
+    Copyright   1994 TUM
+*)
+
+open Com;
+
+val evala_elim_cases = map (evala.mk_cases aexp.simps)
+   ["<N(n),sigma> -a-> i", "<X(x),sigma> -a-> i",
+    "<Op1(f,e),sigma> -a-> i", "<Op2(f,a1,a2),sigma>  -a-> i"
+   ];
+
+val evalb_elim_cases = map (evalb.mk_cases bexp.simps)
+   ["<true,sigma> -b-> x", "<false,sigma> -b-> x",
+    "<ROp(f,a0,a1),sigma> -b-> x", "<noti(b),sigma> -b-> x",
+    "<b0 andi b1,sigma> -b-> x", "<b0 ori b1,sigma> -b-> x"
+   ];
+
+val evalb_simps = map (fn s => prove_goal Com.thy s
+    (fn _ => [fast_tac (HOL_cs addSIs evalb.intrs addSEs evalb_elim_cases) 1]))
+  ["(<true,sigma> -b-> w) = (w=True)",
+   "(<false,sigma> -b-> w) = (w=False)",
+   "(<ROp(f,a0,a1),sigma> -b-> w) = \
+\   (? m. <a0,sigma> -a-> m & (? n. <a1,sigma> -a-> n & w = f(m,n)))",
+   "(<noti(b),sigma> -b-> w) = (? x. <b,sigma> -b-> x & w = (~x))",
+   "(<b0 andi b1,sigma> -b-> w) = \
+\   (? x. <b0,sigma> -b-> x & (? y. <b1,sigma> -b-> y & w = (x&y)))",
+   "(<b0 ori b1,sigma> -b-> w) = \
+\   (? x. <b0,sigma> -b-> x & (? y. <b1,sigma> -b-> y & w = (x|y)))"];