Quelle  Exceptions.thy   Sprache: Isabelle

(*  Title:      HOL/MicroJava/J/Exceptions.thy
    Author:     Gerwin Klein, Martin Strecker
    Copyright   2002 Technische Universitaet Muenchen
*)

theory Exceptions imports State begin

text ‹a new, blank object with default values in all fields:›
definition blank :: "'c prog → cname → obj" where
  "blank G C ≡ (C,init_vars (fields(G,C)))" 

definition start_heap :: "'c prog → aheap" where
  "start_heap G ≡ Map.empty (XcptRef NullPointer ↦ blank G (Xcpt NullPointer),
                        XcptRef ClassCast ↦ blank G (Xcpt ClassCast),
                        XcptRef OutOfMemory ↦ blank G (Xcpt OutOfMemory))"


abbreviation
  cname_of :: "aheap → val → cname"
  where "cname_of hp v == fst (the (hp (the_Addr v)))"


definition preallocated :: "aheap → bool" where
  "preallocated hp ≡ ∀x. ∃fs. hp (XcptRef x) = Some (Xcpt x, fs)"

lemma preallocatedD:
  "preallocated hp ==> ∃fs. hp (XcptRef x) = Some (Xcpt x, fs)"
  by (unfold preallocated_def) fast

lemma preallocatedE [elim?]:
  "preallocated hp ==> (∧fs. hp (XcptRef x) = Some (Xcpt x, fs) ==> P hp) ==> P hp"
  by (fast dest: preallocatedD)

lemma cname_of_xcp:
  "raise_if b x None = Some xcp ==> preallocated hp
  ==> cname_of (hp::aheap) xcp = Xcpt x"
proof -
  assume "raise_if b x None = Some xcp"
  hence "xcp = Addr (XcptRef x)"
    by (simp add: raise_if_def split: if_split_asm)
  moreover
  assume "preallocated hp" 
  then obtain fs where "hp (XcptRef x) = Some (Xcpt x, fs)" ..
  ultimately
  show ?thesis by simp
qed

lemma preallocated_start:
  "preallocated (start_heap G)"
  apply (unfold preallocated_def)
  apply (unfold start_heap_def)
  apply (rule allI)
  apply (case_tac x)
  apply (auto simp add: blank_def)
  done



end