--- a/src/HOL/IMP/Def_Init_Small.thy Fri May 17 02:57:00 2013 +0200
+++ b/src/HOL/IMP/Def_Init_Small.thy Fri May 17 08:19:52 2013 +0200
@@ -11,13 +11,13 @@
where
Assign: "aval a s = Some i \<Longrightarrow> (x ::= a, s) \<rightarrow> (SKIP, s(x := Some i))" |
-Seq1: "(SKIP;c,s) \<rightarrow> (c,s)" |
-Seq2: "(c\<^isub>1,s) \<rightarrow> (c\<^isub>1',s') \<Longrightarrow> (c\<^isub>1;c\<^isub>2,s) \<rightarrow> (c\<^isub>1';c\<^isub>2,s')" |
+Seq1: "(SKIP;;c,s) \<rightarrow> (c,s)" |
+Seq2: "(c\<^isub>1,s) \<rightarrow> (c\<^isub>1',s') \<Longrightarrow> (c\<^isub>1;;c\<^isub>2,s) \<rightarrow> (c\<^isub>1';;c\<^isub>2,s')" |
IfTrue: "bval b s = Some True \<Longrightarrow> (IF b THEN c\<^isub>1 ELSE c\<^isub>2,s) \<rightarrow> (c\<^isub>1,s)" |
IfFalse: "bval b s = Some False \<Longrightarrow> (IF b THEN c\<^isub>1 ELSE c\<^isub>2,s) \<rightarrow> (c\<^isub>2,s)" |
-While: "(WHILE b DO c,s) \<rightarrow> (IF b THEN c; WHILE b DO c ELSE SKIP,s)"
+While: "(WHILE b DO c,s) \<rightarrow> (IF b THEN c;; WHILE b DO c ELSE SKIP,s)"
lemmas small_step_induct = small_step.induct[split_format(complete)]