--- a/src/HOL/MicroJava/BV/BVSpec.thy Wed Sep 20 21:20:41 2000 +0200
+++ b/src/HOL/MicroJava/BV/BVSpec.thy Thu Sep 21 10:42:49 2000 +0200
@@ -11,53 +11,53 @@
types
method_type = "state_type option list"
- class_type = "sig \<Rightarrow> method_type"
- prog_type = "cname \<Rightarrow> class_type"
+ class_type = "sig => method_type"
+ prog_type = "cname => class_type"
constdefs
-wt_instr :: "[instr,jvm_prog,ty,method_type,p_count,p_count] \<Rightarrow> bool"
-"wt_instr i G rT phi max_pc pc \<equiv>
+wt_instr :: "[instr,jvm_prog,ty,method_type,p_count,p_count] => bool"
+"wt_instr i G rT phi max_pc pc ==
app i G rT (phi!pc) \<and>
(\<forall> pc' \<in> set (succs i pc). pc' < max_pc \<and> (G \<turnstile> step i G (phi!pc) <=' phi!pc'))"
-wt_start :: "[jvm_prog,cname,ty list,nat,method_type] \<Rightarrow> bool"
-"wt_start G C pTs mxl phi \<equiv>
+wt_start :: "[jvm_prog,cname,ty list,nat,method_type] => bool"
+"wt_start G C pTs mxl phi ==
G \<turnstile> Some ([],(Ok (Class C))#((map Ok pTs))@(replicate mxl Err)) <=' phi!0"
-wt_method :: "[jvm_prog,cname,ty list,ty,nat,instr list,method_type] \<Rightarrow> bool"
-"wt_method G C pTs rT mxl ins phi \<equiv>
+wt_method :: "[jvm_prog,cname,ty list,ty,nat,instr list,method_type] => bool"
+"wt_method G C pTs rT mxl ins phi ==
let max_pc = length ins
in
0 < max_pc \<and> wt_start G C pTs mxl phi \<and>
- (\<forall>pc. pc<max_pc \<longrightarrow> wt_instr (ins ! pc) G rT phi max_pc pc)"
+ (\<forall>pc. pc<max_pc --> wt_instr (ins ! pc) G rT phi max_pc pc)"
-wt_jvm_prog :: "[jvm_prog,prog_type] \<Rightarrow> bool"
-"wt_jvm_prog G phi \<equiv>
+wt_jvm_prog :: "[jvm_prog,prog_type] => bool"
+"wt_jvm_prog G phi ==
wf_prog (\<lambda>G C (sig,rT,maxl,b).
wt_method G C (snd sig) rT maxl b (phi C sig)) G"
lemma wt_jvm_progD:
-"wt_jvm_prog G phi \<Longrightarrow> (\<exists>wt. wf_prog wt G)"
+"wt_jvm_prog G phi ==> (\<exists>wt. wf_prog wt G)"
by (unfold wt_jvm_prog_def, blast)
lemma wt_jvm_prog_impl_wt_instr:
-"\<lbrakk> wt_jvm_prog G phi; method (G,C) sig = Some (C,rT,maxl,ins); pc < length ins \<rbrakk>
- \<Longrightarrow> wt_instr (ins!pc) G rT (phi C sig) (length ins) pc";
+"[| wt_jvm_prog G phi; method (G,C) sig = Some (C,rT,maxl,ins); pc < length ins |]
+ ==> wt_instr (ins!pc) G rT (phi C sig) (length ins) pc";
by (unfold wt_jvm_prog_def, drule method_wf_mdecl,
simp, simp add: wf_mdecl_def wt_method_def)
lemma wt_jvm_prog_impl_wt_start:
-"\<lbrakk> wt_jvm_prog G phi; method (G,C) sig = Some (C,rT,maxl,ins) \<rbrakk> \<Longrightarrow>
+"[| wt_jvm_prog G phi; method (G,C) sig = Some (C,rT,maxl,ins) |] ==>
0 < (length ins) \<and> wt_start G C (snd sig) maxl (phi C sig)"
by (unfold wt_jvm_prog_def, drule method_wf_mdecl,
simp, simp add: wf_mdecl_def wt_method_def)
(* for most instructions wt_instr collapses: *)
lemma
-"succs i pc = [pc+1] \<Longrightarrow> wt_instr i G rT phi max_pc pc =
+"succs i pc = [pc+1] ==> wt_instr i G rT phi max_pc pc =
(app i G rT (phi!pc) \<and> pc+1 < max_pc \<and> (G \<turnstile> step i G (phi!pc) <=' phi!(pc+1)))"
by (simp add: wt_instr_def)