--- a/src/HOL/MicroJava/J/Eval.thy Sat Jan 02 18:46:36 2016 +0100
+++ b/src/HOL/MicroJava/J/Eval.thy Sat Jan 02 18:48:45 2016 +0100
@@ -8,7 +8,7 @@
theory Eval imports State WellType begin
- -- "Auxiliary notions"
+ \<comment> "Auxiliary notions"
definition fits :: "java_mb prog \<Rightarrow> state \<Rightarrow> val \<Rightarrow> ty \<Rightarrow> bool" ("_,_\<turnstile>_ fits _"[61,61,61,61]60) where
"G,s\<turnstile>a' fits T \<equiv> case T of PrimT T' \<Rightarrow> False | RefT T' \<Rightarrow> a'=Null \<or> G\<turnstile>obj_ty(lookup_obj s a')\<preceq>T"
@@ -23,7 +23,7 @@
"new_xcpt_var vn \<equiv> \<lambda>(x,s). Norm (lupd(vn\<mapsto>the x) s)"
- -- "Evaluation relations"
+ \<comment> "Evaluation relations"
inductive
eval :: "[java_mb prog,xstate,expr,val,xstate] => bool "
@@ -36,21 +36,21 @@
for G :: "java_mb prog"
where
- -- "evaluation of expressions"
+ \<comment> "evaluation of expressions"
- XcptE:"G\<turnstile>(Some xc,s) -e\<succ>undefined-> (Some xc,s)" -- "cf. 15.5"
+ XcptE:"G\<turnstile>(Some xc,s) -e\<succ>undefined-> (Some xc,s)" \<comment> "cf. 15.5"
- -- "cf. 15.8.1"
+ \<comment> "cf. 15.8.1"
| NewC: "[| h = heap s; (a,x) = new_Addr h;
h'= h(a\<mapsto>(C,init_vars (fields (G,C)))) |] ==>
G\<turnstile>Norm s -NewC C\<succ>Addr a-> c_hupd h' (x,s)"
- -- "cf. 15.15"
+ \<comment> "cf. 15.15"
| Cast: "[| G\<turnstile>Norm s0 -e\<succ>v-> (x1,s1);
x2 = raise_if (\<not> cast_ok G C (heap s1) v) ClassCast x1 |] ==>
G\<turnstile>Norm s0 -Cast C e\<succ>v-> (x2,s1)"
- -- "cf. 15.7.1"
+ \<comment> "cf. 15.7.1"
| Lit: "G\<turnstile>Norm s -Lit v\<succ>v-> Norm s"
| BinOp:"[| G\<turnstile>Norm s -e1\<succ>v1-> s1;
@@ -59,27 +59,27 @@
| Add => Intg (the_Intg v1 + the_Intg v2)) |] ==>
G\<turnstile>Norm s -BinOp bop e1 e2\<succ>v-> s2"
- -- "cf. 15.13.1, 15.2"
+ \<comment> "cf. 15.13.1, 15.2"
| LAcc: "G\<turnstile>Norm s -LAcc v\<succ>the (locals s v)-> Norm s"
- -- "cf. 15.25.1"
+ \<comment> "cf. 15.25.1"
| LAss: "[| G\<turnstile>Norm s -e\<succ>v-> (x,(h,l));
l' = (if x = None then l(va\<mapsto>v) else l) |] ==>
G\<turnstile>Norm s -va::=e\<succ>v-> (x,(h,l'))"
- -- "cf. 15.10.1, 15.2"
+ \<comment> "cf. 15.10.1, 15.2"
| FAcc: "[| G\<turnstile>Norm s0 -e\<succ>a'-> (x1,s1);
v = the (snd (the (heap s1 (the_Addr a'))) (fn,T)) |] ==>
G\<turnstile>Norm s0 -{T}e..fn\<succ>v-> (np a' x1,s1)"
- -- "cf. 15.25.1"
+ \<comment> "cf. 15.25.1"
| FAss: "[| G\<turnstile> Norm s0 -e1\<succ>a'-> (x1,s1); a = the_Addr a';
G\<turnstile>(np a' x1,s1) -e2\<succ>v -> (x2,s2);
h = heap s2; (c,fs) = the (h a);
h' = h(a\<mapsto>(c,(fs((fn,T)\<mapsto>v)))) |] ==>
G\<turnstile>Norm s0 -{T}e1..fn:=e2\<succ>v-> c_hupd h' (x2,s2)"
- -- "cf. 15.11.4.1, 15.11.4.2, 15.11.4.4, 15.11.4.5, 14.15"
+ \<comment> "cf. 15.11.4.1, 15.11.4.2, 15.11.4.4, 15.11.4.5, 14.15"
| Call: "[| G\<turnstile>Norm s0 -e\<succ>a'-> s1; a = the_Addr a';
G\<turnstile>s1 -ps[\<succ>]pvs-> (x,(h,l)); dynT = fst (the (h a));
(md,rT,pns,lvars,blk,res) = the (method (G,dynT) (mn,pTs));
@@ -88,43 +88,43 @@
G\<turnstile>Norm s0 -{C}e..mn({pTs}ps)\<succ>v-> (x4,(heap s4,l))"
- -- "evaluation of expression lists"
+ \<comment> "evaluation of expression lists"
- -- "cf. 15.5"
+ \<comment> "cf. 15.5"
| XcptEs:"G\<turnstile>(Some xc,s) -e[\<succ>]undefined-> (Some xc,s)"
- -- "cf. 15.11.???"
+ \<comment> "cf. 15.11.???"
| Nil: "G\<turnstile>Norm s0 -[][\<succ>][]-> Norm s0"
- -- "cf. 15.6.4"
+ \<comment> "cf. 15.6.4"
| Cons: "[| G\<turnstile>Norm s0 -e \<succ> v -> s1;
G\<turnstile> s1 -es[\<succ>]vs-> s2 |] ==>
G\<turnstile>Norm s0 -e#es[\<succ>]v#vs-> s2"
- -- "execution of statements"
+ \<comment> "execution of statements"
- -- "cf. 14.1"
+ \<comment> "cf. 14.1"
| XcptS:"G\<turnstile>(Some xc,s) -c-> (Some xc,s)"
- -- "cf. 14.5"
+ \<comment> "cf. 14.5"
| Skip: "G\<turnstile>Norm s -Skip-> Norm s"
- -- "cf. 14.7"
+ \<comment> "cf. 14.7"
| Expr: "[| G\<turnstile>Norm s0 -e\<succ>v-> s1 |] ==>
G\<turnstile>Norm s0 -Expr e-> s1"
- -- "cf. 14.2"
+ \<comment> "cf. 14.2"
| Comp: "[| G\<turnstile>Norm s0 -c1-> s1;
G\<turnstile> s1 -c2-> s2|] ==>
G\<turnstile>Norm s0 -c1;; c2-> s2"
- -- "cf. 14.8.2"
+ \<comment> "cf. 14.8.2"
| Cond: "[| G\<turnstile>Norm s0 -e\<succ>v-> s1;
G\<turnstile> s1 -(if the_Bool v then c1 else c2)-> s2|] ==>
G\<turnstile>Norm s0 -If(e) c1 Else c2-> s2"
- -- "cf. 14.10, 14.10.1"
+ \<comment> "cf. 14.10, 14.10.1"
| LoopF:"[| G\<turnstile>Norm s0 -e\<succ>v-> s1; \<not>the_Bool v |] ==>
G\<turnstile>Norm s0 -While(e) c-> s1"
| LoopT:"[| G\<turnstile>Norm s0 -e\<succ>v-> s1; the_Bool v;