--- a/src/HOL/IMP/Procs_Stat_Vars_Stat.thy Tue Aug 13 14:20:22 2013 +0200
+++ b/src/HOL/IMP/Procs_Stat_Vars_Stat.thy Tue Aug 13 16:25:47 2013 +0200
@@ -17,19 +17,19 @@
where
Skip: "e \<turnstile> (SKIP,s) \<Rightarrow> s" |
Assign: "(pe,ve,f) \<turnstile> (x ::= a,s) \<Rightarrow> s(ve x := aval a (s o ve))" |
-Seq: "\<lbrakk> e \<turnstile> (c\<^isub>1,s\<^isub>1) \<Rightarrow> s\<^isub>2; e \<turnstile> (c\<^isub>2,s\<^isub>2) \<Rightarrow> s\<^isub>3 \<rbrakk> \<Longrightarrow>
- e \<turnstile> (c\<^isub>1;;c\<^isub>2, s\<^isub>1) \<Rightarrow> s\<^isub>3" |
+Seq: "\<lbrakk> e \<turnstile> (c\<^sub>1,s\<^sub>1) \<Rightarrow> s\<^sub>2; e \<turnstile> (c\<^sub>2,s\<^sub>2) \<Rightarrow> s\<^sub>3 \<rbrakk> \<Longrightarrow>
+ e \<turnstile> (c\<^sub>1;;c\<^sub>2, s\<^sub>1) \<Rightarrow> s\<^sub>3" |
-IfTrue: "\<lbrakk> bval b (s \<circ> venv e); e \<turnstile> (c\<^isub>1,s) \<Rightarrow> t \<rbrakk> \<Longrightarrow>
- e \<turnstile> (IF b THEN c\<^isub>1 ELSE c\<^isub>2, s) \<Rightarrow> t" |
-IfFalse: "\<lbrakk> \<not>bval b (s \<circ> venv e); e \<turnstile> (c\<^isub>2,s) \<Rightarrow> t \<rbrakk> \<Longrightarrow>
- e \<turnstile> (IF b THEN c\<^isub>1 ELSE c\<^isub>2, s) \<Rightarrow> t" |
+IfTrue: "\<lbrakk> bval b (s \<circ> venv e); e \<turnstile> (c\<^sub>1,s) \<Rightarrow> t \<rbrakk> \<Longrightarrow>
+ e \<turnstile> (IF b THEN c\<^sub>1 ELSE c\<^sub>2, s) \<Rightarrow> t" |
+IfFalse: "\<lbrakk> \<not>bval b (s \<circ> venv e); e \<turnstile> (c\<^sub>2,s) \<Rightarrow> t \<rbrakk> \<Longrightarrow>
+ e \<turnstile> (IF b THEN c\<^sub>1 ELSE c\<^sub>2, s) \<Rightarrow> t" |
WhileFalse: "\<not>bval b (s \<circ> venv e) \<Longrightarrow> e \<turnstile> (WHILE b DO c,s) \<Rightarrow> s" |
WhileTrue:
- "\<lbrakk> bval b (s\<^isub>1 \<circ> venv e); e \<turnstile> (c,s\<^isub>1) \<Rightarrow> s\<^isub>2;
- e \<turnstile> (WHILE b DO c, s\<^isub>2) \<Rightarrow> s\<^isub>3 \<rbrakk> \<Longrightarrow>
- e \<turnstile> (WHILE b DO c, s\<^isub>1) \<Rightarrow> s\<^isub>3" |
+ "\<lbrakk> bval b (s\<^sub>1 \<circ> venv e); e \<turnstile> (c,s\<^sub>1) \<Rightarrow> s\<^sub>2;
+ e \<turnstile> (WHILE b DO c, s\<^sub>2) \<Rightarrow> s\<^sub>3 \<rbrakk> \<Longrightarrow>
+ e \<turnstile> (WHILE b DO c, s\<^sub>1) \<Rightarrow> s\<^sub>3" |
Var: "(pe,ve(x:=f),f+1) \<turnstile> (c,s) \<Rightarrow> t \<Longrightarrow>
(pe,ve,f) \<turnstile> ({VAR x; c}, s) \<Rightarrow> t" |