Theory JVMExceptions

(*  Title:      HOL/MicroJava/JVM/JVMExceptions.thy
    Author:     Gerwin Klein, Martin Strecker
    Copyright   2001 Technische Universitaet Muenchen

section ‹Exception handling in the JVM›

theory JVMExceptions imports JVMInstructions begin

definition match_exception_entry :: "jvm_prog  cname  p_count  exception_entry  bool" where
  "match_exception_entry G cn pc ee == 
                 let (start_pc, end_pc, handler_pc, catch_type) = ee in
                 start_pc <= pc  pc < end_pc  G cn ≼C catch_type"

primrec match_exception_table :: "jvm_prog  cname  p_count  exception_table
     p_count option"
  "match_exception_table G cn pc []     = None"
| "match_exception_table G cn pc (e#es) = (if match_exception_entry G cn pc e
                                           then Some (fst (snd (snd e))) 
                                           else match_exception_table G cn pc es)"

  ex_table_of :: "jvm_method  exception_table"
  where "ex_table_of m == snd (snd (snd m))"

primrec find_handler :: "jvm_prog  val option  aheap  frame list
  "find_handler G xcpt hp [] = (xcpt, hp, [])"
| "find_handler G xcpt hp (fr#frs) = 
      (case xcpt of
         None  (None, hp, fr#frs)
       | Some xc  
       let (stk,loc,C,sig,pc) = fr in
       (case match_exception_table G (cname_of hp xc) pc 
              (ex_table_of (snd(snd(the(method (G,C) sig))))) of
          None  find_handler G (Some xc) hp frs
        | Some handler_pc  (None, hp, ([xc], loc, C, sig, handler_pc)#frs)))"

text ‹
  System exceptions are allocated in all heaps:

text ‹
  Only program counters that are mentioned in the exception table
  can be returned by termmatch_exception_table:
lemma match_exception_table_in_et:
  "match_exception_table G C pc et = Some pc'  e  set et. pc' = fst (snd (snd e))"
  by (induct et) (auto split: if_split_asm)