--- a/src/HOL/MicroJava/BV/BVSpec.thy Fri Jun 11 17:14:01 2010 +0200
+++ b/src/HOL/MicroJava/BV/BVSpec.thy Fri Jun 11 17:14:01 2010 +0200
@@ -15,48 +15,53 @@
to type \emph{checking}.
*}
-constdefs
+definition
-- "The program counter will always be inside the method:"
- check_bounded :: "instr list \<Rightarrow> exception_table \<Rightarrow> bool"
- "check_bounded ins et \<equiv>
+ check_bounded :: "instr list \<Rightarrow> exception_table \<Rightarrow> bool" where
+ "check_bounded ins et \<longleftrightarrow>
(\<forall>pc < length ins. \<forall>pc' \<in> set (succs (ins!pc) pc). pc' < length ins) \<and>
(\<forall>e \<in> set et. fst (snd (snd e)) < length ins)"
+definition
-- "The method type only contains declared classes:"
- check_types :: "jvm_prog \<Rightarrow> nat \<Rightarrow> nat \<Rightarrow> JVMType.state list \<Rightarrow> bool"
- "check_types G mxs mxr phi \<equiv> set phi \<subseteq> states G mxs mxr"
+ check_types :: "jvm_prog \<Rightarrow> nat \<Rightarrow> nat \<Rightarrow> JVMType.state list \<Rightarrow> bool" where
+ "check_types G mxs mxr phi \<longleftrightarrow> set phi \<subseteq> states G mxs mxr"
+definition
-- "An instruction is welltyped if it is applicable and its effect"
-- "is compatible with the type at all successor instructions:"
wt_instr :: "[instr,jvm_prog,ty,method_type,nat,p_count,
- exception_table,p_count] \<Rightarrow> bool"
- "wt_instr i G rT phi mxs max_pc et pc \<equiv>
+ exception_table,p_count] \<Rightarrow> bool" where
+ "wt_instr i G rT phi mxs max_pc et pc \<longleftrightarrow>
app i G mxs rT pc et (phi!pc) \<and>
(\<forall>(pc',s') \<in> set (eff i G pc et (phi!pc)). pc' < max_pc \<and> G \<turnstile> s' <=' phi!pc')"
+definition
-- {* The type at @{text "pc=0"} conforms to the method calling convention: *}
- wt_start :: "[jvm_prog,cname,ty list,nat,method_type] \<Rightarrow> bool"
- "wt_start G C pTs mxl phi ==
+ wt_start :: "[jvm_prog,cname,ty list,nat,method_type] \<Rightarrow> bool" where
+ "wt_start G C pTs mxl phi \<longleftrightarrow>
G \<turnstile> Some ([],(OK (Class C))#((map OK pTs))@(replicate mxl Err)) <=' phi!0"
+definition
-- "A method is welltyped if the body is not empty, if execution does not"
-- "leave the body, if the method type covers all instructions and mentions"
-- "declared classes only, if the method calling convention is respected, and"
-- "if all instructions are welltyped."
wt_method :: "[jvm_prog,cname,ty list,ty,nat,nat,instr list,
- exception_table,method_type] \<Rightarrow> bool"
- "wt_method G C pTs rT mxs mxl ins et phi \<equiv>
- let max_pc = length ins in
+ exception_table,method_type] \<Rightarrow> bool" where
+ "wt_method G C pTs rT mxs mxl ins et phi \<longleftrightarrow>
+ (let max_pc = length ins in
0 < max_pc \<and>
length phi = length ins \<and>
check_bounded ins et \<and>
check_types G mxs (1+length pTs+mxl) (map OK phi) \<and>
wt_start G C pTs mxl phi \<and>
- (\<forall>pc. pc<max_pc \<longrightarrow> wt_instr (ins!pc) G rT phi mxs max_pc et pc)"
+ (\<forall>pc. pc<max_pc \<longrightarrow> wt_instr (ins!pc) G rT phi mxs max_pc et pc))"
+definition
-- "A program is welltyped if it is wellformed and all methods are welltyped"
- wt_jvm_prog :: "[jvm_prog,prog_type] \<Rightarrow> bool"
- "wt_jvm_prog G phi ==
+ wt_jvm_prog :: "[jvm_prog,prog_type] \<Rightarrow> bool" where
+ "wt_jvm_prog G phi \<longleftrightarrow>
wf_prog (\<lambda>G C (sig,rT,(maxs,maxl,b,et)).
wt_method G C (snd sig) rT maxs maxl b et (phi C sig)) G"