(*<*)
theory S2ss_prop
imports Main Flask Flask_type Static Static_type Init_prop Tainted_prop Valid_prop Alive_prop Co2sobj_prop
begin
(*>*)
context tainting_s begin
lemma current_proc_has_sp:
"\<lbrakk>p \<in> current_procs s; valid s\<rbrakk> \<Longrightarrow> \<exists> sp. cp2sproc s p = Some sp"
by (auto simp:cp2sproc_def split:option.splits dest!:current_has_sec')
lemma current_proc_has_sp':
"\<lbrakk>cp2sproc s p = None; valid s\<rbrakk> \<Longrightarrow> p \<notin> current_procs s"
by (auto dest:current_proc_has_sp)
lemma is_dir_has_sdir':
"\<lbrakk>is_dir s f; valid s\<rbrakk> \<Longrightarrow> \<exists> sf. cf2sfile s f = Some sf"
apply (case_tac f)
apply (rule_tac x = sroot in exI)
apply (simp add:sroot_only)
apply (drule is_dir_has_sfile, auto)
done
lemma is_file_has_sfile':
"\<lbrakk>is_file s f; valid s\<rbrakk> \<Longrightarrow> \<exists> sf. cf2sfile s f = Some sf"
by (drule is_file_has_sfile, auto)
(* simpset for same_inode_files: Current_files_prop.thy *)
lemma same_inode_files_nil:
"same_inode_files [] = init_same_inode_files"
by (rule ext, simp add:same_inode_files_def init_same_inode_files_def is_file_nil)
lemma iof's_im_in_cim': "Some im = inum_of_file \<tau> f \<Longrightarrow> im \<in> current_inode_nums \<tau>"
by (auto simp add:current_inode_nums_def current_file_inums_def)
lemma same_inode_files_open:
"valid (Open p f flags fd opt # s) \<Longrightarrow> same_inode_files (Open p f flags fd opt # s) = (\<lambda> f'.
if (f' = f \<and> opt \<noteq> None) then {f} else same_inode_files s f')"
apply (frule vt_grant_os, frule vd_cons, rule ext)
apply (auto simp:same_inode_files_def is_file_simps split:if_splits option.splits
dest:iof's_im_in_cim iof's_im_in_cim')
apply (drule is_file_in_current)
apply (simp add:current_files_def)
done
lemma same_inode_files_linkhard:
"valid (LinkHard p oldf f # s) \<Longrightarrow> same_inode_files (LinkHard p oldf f # s) = (\<lambda> f'.
if (f' = f \<or> f' \<in> same_inode_files s oldf)
then same_inode_files s oldf \<union> {f}
else same_inode_files s f')"
apply (frule vt_grant_os, frule vd_cons, rule ext)
apply (auto simp:same_inode_files_def is_file_simps split:if_splits option.splits
dest:iof's_im_in_cim iof's_im_in_cim')
apply (drule is_file_in_current)
apply (simp add:current_files_def is_file_def)
apply (simp add:is_file_def)
done
lemma inum_of_file_none_prop:
"\<lbrakk>inum_of_file s f = None; valid s\<rbrakk> \<Longrightarrow> f \<notin> current_files s"
by (simp add:current_files_def)
lemma same_inode_files_closefd:
"\<lbrakk>valid (CloseFd p fd # s); f' \<in> current_files (CloseFd p fd # s)\<rbrakk> \<Longrightarrow>
same_inode_files (CloseFd p fd # s) f' = (
case (file_of_proc_fd s p fd) of
Some f \<Rightarrow> (if ((proc_fd_of_file s f = {(p, fd)}) \<and> (f \<in> files_hung_by_del s))
then same_inode_files s f' - {f}
else same_inode_files s f' )
| None \<Rightarrow> same_inode_files s f' )"
apply (frule vt_grant_os, frule vd_cons)
apply (auto simp:same_inode_files_def is_file_closefd current_files_closefd
split:if_splits option.splits
dest:iof's_im_in_cim iof's_im_in_cim' inum_of_file_none_prop)
done
lemma same_inode_files_unlink:
"\<lbrakk>valid (UnLink p f # s); f' \<in> current_files (UnLink p f # s)\<rbrakk>
\<Longrightarrow> same_inode_files (UnLink p f # s) f' = (
if (proc_fd_of_file s f = {})
then same_inode_files s f' - {f}
else same_inode_files s f')"
apply (frule vt_grant_os, frule vd_cons)
apply (auto simp:same_inode_files_def is_file_unlink current_files_unlink
split:if_splits option.splits
dest:iof's_im_in_cim iof's_im_in_cim' inum_of_file_none_prop)
done
lemma same_inode_files_mkdir:
"valid (Mkdir p f inum # s) \<Longrightarrow> same_inode_files (Mkdir p f inum # s) = (same_inode_files s)"
apply (frule vt_grant_os, frule vd_cons, rule ext)
apply (auto simp:same_inode_files_def is_file_simps current_files_simps
split:if_splits option.splits
dest:iof's_im_in_cim iof's_im_in_cim' inum_of_file_none_prop is_file_in_current)
apply (simp add:current_files_def is_file_def)
done
lemma same_inode_files_other:
"\<lbrakk>valid (e # s);
\<forall> p f flag fd opt. e \<noteq> Open p f flag fd opt;
\<forall> p fd. e \<noteq> CloseFd p fd;
\<forall> p f. e \<noteq> UnLink p f;
\<forall> p f f'. e \<noteq> LinkHard p f f'\<rbrakk> \<Longrightarrow> same_inode_files (e # s) = same_inode_files s"
apply (frule vt_grant_os, frule vd_cons, rule ext, case_tac e)
apply (auto simp:same_inode_files_def is_file_simps current_files_simps dir_is_empty_def
split:if_splits option.splits
dest:iof's_im_in_cim iof's_im_in_cim' inum_of_file_none_prop is_file_not_dir)
apply (simp add:is_file_def is_dir_def current_files_def split:option.splits t_inode_tag.splits)+
done
lemmas same_inode_files_simps = same_inode_files_nil same_inode_files_open same_inode_files_linkhard
same_inode_files_closefd same_inode_files_unlink same_inode_files_mkdir same_inode_files_other
lemma same_inode_files_prop1:
"f \<in> same_inode_files s f' \<Longrightarrow> f \<in> current_files s"
by (simp add:same_inode_files_def is_file_def current_files_def split:if_splits option.splits)
lemma same_inode_files_prop2:
"\<lbrakk>f \<in> same_inode_files s f'; f'' \<notin> current_files s\<rbrakk> \<Longrightarrow> f \<noteq> f''"
by (auto dest:same_inode_files_prop1)
lemma same_inode_files_prop3:
"\<lbrakk>f \<in> same_inode_files s f'; is_dir s f''\<rbrakk> \<Longrightarrow> f \<noteq> f''"
apply (rule notI)
apply (simp add:same_inode_files_def is_file_def is_dir_def
split:if_splits option.splits t_inode_tag.splits)
done
lemma same_inode_files_prop4:
"\<lbrakk>f' \<in> same_inode_files s f; f'' \<in> same_inode_files s f'\<rbrakk> \<Longrightarrow> f'' \<in> same_inode_files s f"
by (auto simp:same_inode_files_def split:if_splits)
lemma same_inode_files_prop5:
"f' \<in> same_inode_files s f \<Longrightarrow> f \<in> same_inode_files s f'"
by (auto simp:same_inode_files_def is_file_def split:if_splits)
lemma same_inode_files_prop6:
"f' \<in> same_inode_files s f \<Longrightarrow> same_inode_files s f' = same_inode_files s f"
by (auto simp:same_inode_files_def is_file_def split:if_splits)
lemma same_inode_files_prop7:
"f' \<in> same_inode_files s f \<Longrightarrow> has_same_inode s f f'"
by (auto simp:same_inode_files_def is_file_def has_same_inode_def split:if_splits option.splits)
lemma same_inode_files_prop8:
"f' \<in> same_inode_files s f \<Longrightarrow> has_same_inode s f' f"
by (auto simp:same_inode_files_def is_file_def has_same_inode_def split:if_splits option.splits)
(* simpset for cf2sfiles *)
lemma cf2sfiles_open:
"\<lbrakk>valid (Open p f flag fd opt # s); f' \<in> current_files (Open p f flag fd opt # s)\<rbrakk>
\<Longrightarrow> cf2sfiles (Open p f flag fd opt # s) f' = (
if (f' = f \<and> opt \<noteq> None)
then (case cf2sfile (Open p f flag fd opt # s) f of
Some sf \<Rightarrow> {sf}
| _ \<Rightarrow> {} )
else cf2sfiles s f')"
apply (frule vt_grant_os, frule vd_cons)
apply (auto simp:cf2sfiles_def cf2sfile_open_none cf2sfile_simps same_inode_files_open
split:if_splits option.splits dest!:current_file_has_sfile' dest:cf2sfile_open)
apply (rule_tac x = "f'a" in bexI, drule same_inode_files_prop1, simp add:cf2sfile_open_some1, simp)+
done
lemma cf2sfiles_other:
"\<lbrakk>valid (e # s);
\<forall> p f flag fd opt. e \<noteq> Open p f flag fd opt;
\<forall> p fd. e \<noteq> CloseFd p fd;
\<forall> p f. e \<noteq> UnLink p f;
\<forall> p f f'. e \<noteq> LinkHard p f f'\<rbrakk> \<Longrightarrow> cf2sfiles (e # s) = cf2sfiles s"
apply (frule vt_grant_os, frule vd_cons, rule ext)
apply (simp add:cf2sfiles_def, rule set_eqI, rule iffI)
apply (drule Set.CollectD, erule bexE, rule CollectI)
apply (rule_tac x = f' in bexI, case_tac e)
apply (auto simp:cf2sfiles_def cf2sfile_simps same_inode_files_simps current_files_simps
split:if_splits option.splits dest!:current_file_has_sfile' dest:same_inode_files_prop1 cf2sfile_other')
apply (drule_tac f' = f' in cf2sfile_rmdir)
apply (simp add:current_files_simps same_inode_files_prop1 same_inode_files_prop3 dir_is_empty_def)+
apply (rule_tac x = f' in bexI, case_tac e)
apply (auto simp:cf2sfiles_def cf2sfile_simps same_inode_files_simps current_files_simps
split:if_splits option.splits dest!:current_file_has_sfile' dest:same_inode_files_prop1 cf2sfile_other')
apply (drule_tac f' = f' in cf2sfile_rmdir)
apply (simp add:current_files_simps same_inode_files_prop1 same_inode_files_prop3 dir_is_empty_def)+
done
lemma cf2sfile_linkhard1':
"\<lbrakk>valid (LinkHard p oldf f # s); f' \<in> same_inode_files s f''\<rbrakk>
\<Longrightarrow> cf2sfile (LinkHard p oldf f# s) f' = cf2sfile s f'"
apply (drule same_inode_files_prop1)
by (simp add:cf2sfile_linkhard1)
lemma cf2sfiles_linkhard:
"valid (LinkHard p oldf f # s) \<Longrightarrow> cf2sfiles (LinkHard p oldf f # s) = (\<lambda> f'.
if (f' = f \<or> f' \<in> same_inode_files s oldf)
then (case (cf2sfile (LinkHard p oldf f # s) f) of
Some sf \<Rightarrow> cf2sfiles s oldf \<union> {sf}
| _ \<Rightarrow> {})
else cf2sfiles s f')"
apply (frule vt_grant_os, frule vd_cons, rule ext)
apply (auto simp:cf2sfiles_def cf2sfile_linkhard1' same_inode_files_linkhard current_files_linkhard
split:if_splits option.splits dest!:current_file_has_sfile' current_has_sec' dest:same_inode_files_prop1)
done
lemma cf2sfile_unlink':
"\<lbrakk>valid (UnLink p f # s); f' \<in> same_inode_files (UnLink p f # s) f''\<rbrakk>
\<Longrightarrow> cf2sfile (UnLink p f # s) f' = cf2sfile s f'"
apply (drule same_inode_files_prop1)
by (simp add:cf2sfile_unlink)
lemma cf2sfiles_unlink:
"\<lbrakk>valid (UnLink p f # s); f' \<in> current_files (UnLink p f # s)\<rbrakk> \<Longrightarrow> cf2sfiles (UnLink p f # s) f' = (
if (f' \<in> same_inode_files s f \<and> proc_fd_of_file s f = {} \<and>
(\<forall> f'' \<in> same_inode_files s f. f'' \<noteq> f \<longrightarrow> cf2sfile s f'' \<noteq> cf2sfile s f)) then
(case (cf2sfile s f) of
Some sf \<Rightarrow> cf2sfiles s f' - {sf}
| _ \<Rightarrow> {})
else cf2sfiles s f')"
apply (frule vt_grant_os, frule vd_cons, simp add:current_files_simps split:if_splits)
apply (rule conjI, clarify, frule is_file_has_sfile', simp, erule exE, simp)
apply (simp add:cf2sfiles_def, rule set_eqI, rule iffI, drule CollectD)
apply (erule bexE, frule_tac f' = f' in same_inode_files_unlink)
apply (simp add:current_files_unlink, simp, erule conjE)
apply (erule_tac x = f'a in ballE, frule_tac f' = "f'a" in cf2sfile_unlink)
apply (simp add:current_files_unlink same_inode_files_prop1, simp)
apply (rule_tac x = f'a in bexI, simp, simp)
apply (drule_tac f = f and f' = f' and f'' = f'a in same_inode_files_prop4, simp+)
apply (erule conjE|erule exE|erule bexE)+
apply (case_tac "f'a = f", simp)
apply (frule_tac f' = f' in same_inode_files_unlink, simp add:current_files_unlink)
apply (frule_tac f' = f'a in cf2sfile_unlink, simp add:current_files_unlink same_inode_files_prop1)
apply (rule_tac x = f'a in bexI, simp, simp)
apply (rule impI)+
apply (simp add:cf2sfiles_def, rule set_eqI, rule iffI, drule CollectD)
apply (erule bexE, frule_tac f' = f' in same_inode_files_unlink)
apply (simp add:current_files_unlink, simp, (erule conjE)+)
apply (rule_tac x = f'a in bexI, frule_tac f' = "f'a" in cf2sfile_unlink)
apply (simp add:current_files_unlink same_inode_files_prop1, simp, simp)
apply (drule CollectD, erule bexE, frule_tac f' = f' in same_inode_files_unlink)
apply (simp add:current_files_unlink, simp)
apply (case_tac "f'a = f", simp)
apply (frule_tac f = f' and f' = f in same_inode_files_prop5, simp)
apply (erule bexE, erule conjE)
apply (rule_tac x = f'' in bexI)
apply (drule_tac f' = f'' in cf2sfile_unlink, simp add:current_files_unlink same_inode_files_prop1)
apply (simp, simp, erule same_inode_files_prop4, simp)
apply (rule_tac x = f'a in bexI)
apply (drule_tac f' = f'a in cf2sfile_unlink, simp add:current_files_unlink same_inode_files_prop1)
apply (simp, simp)
apply (simp add:cf2sfiles_def, rule set_eqI, rule iffI, drule CollectD)
apply (erule bexE, frule_tac f' = f' in same_inode_files_unlink)
apply (simp add:current_files_unlink, simp)
apply (rule_tac x = f'a in bexI)
apply (frule_tac f' = f'a in cf2sfile_unlink)
apply (simp add:same_inode_files_prop1 current_files_unlink, simp, simp)
apply (drule CollectD, erule bexE, frule_tac f' = f' in same_inode_files_unlink)
apply (simp add:current_files_unlink, simp)
apply (rule_tac x = f'a in bexI)
apply (frule_tac f' = f'a in cf2sfile_unlink)
apply (simp add:same_inode_files_prop1 current_files_unlink, simp, simp)
done
lemma cf2sfiles_closefd:
"\<lbrakk>valid (CloseFd p fd # s); f' \<in> current_files (CloseFd p fd # s)\<rbrakk> \<Longrightarrow> cf2sfiles (CloseFd p fd # s) f' = (
case (file_of_proc_fd s p fd) of
Some f \<Rightarrow> if (f' \<in> same_inode_files s f \<and> proc_fd_of_file s f = {(p, fd)} \<and> f \<in> files_hung_by_del s \<and>
(\<forall> f'' \<in> same_inode_files s f. f'' \<noteq> f \<longrightarrow> cf2sfile s f'' \<noteq> cf2sfile s f))
then (case (cf2sfile s f) of
Some sf \<Rightarrow> cf2sfiles s f' - {sf}
| _ \<Rightarrow> {})
else cf2sfiles s f'
| _ \<Rightarrow> cf2sfiles s f')"
apply (frule vt_grant_os, frule vd_cons, case_tac "file_of_proc_fd s p fd")
apply (simp_all add:current_files_simps split:if_splits)
apply (simp add:cf2sfiles_def, rule set_eqI, rule iffI, drule CollectD)
apply (erule bexE, frule_tac f' = f' in same_inode_files_closefd)
apply (simp add:current_files_closefd, simp)
apply (rule_tac x = f'a in bexI)
apply (frule_tac f = f'a in cf2sfile_closefd)
apply (simp add:same_inode_files_prop1 current_files_closefd, simp, simp)
apply (drule CollectD, erule bexE, frule_tac f' = f' in same_inode_files_closefd)
apply (simp add:current_files_closefd, simp)
apply (rule_tac x = f'a in bexI)
apply (frule_tac f = f'a in cf2sfile_closefd)
apply (simp add:same_inode_files_prop1 current_files_closefd, simp, simp)
apply (rule conjI, clarify, frule file_of_pfd_is_file, simp)
apply (frule is_file_has_sfile', simp, erule exE, simp)
apply (simp add:cf2sfiles_def, rule set_eqI, rule iffI, drule CollectD)
apply (erule bexE, frule_tac f' = f' in same_inode_files_closefd)
apply (simp add:current_files_closefd, simp, erule conjE)
apply (erule_tac x = f'a in ballE, frule_tac f = "f'a" in cf2sfile_closefd)
apply (simp add:current_files_closefd same_inode_files_prop1, simp)
apply (rule_tac x = f'a in bexI, simp, simp)
apply (drule_tac f = a and f' = f' and f'' = f'a in same_inode_files_prop4, simp+)
apply (erule conjE|erule exE|erule bexE)+
apply (case_tac "f'a = a", simp)
apply (frule_tac f' = f' in same_inode_files_closefd, simp add:current_files_closefd, simp)
apply (frule_tac f = f'a in cf2sfile_closefd, simp add:current_files_closefd same_inode_files_prop1)
apply (rule_tac x = f'a in bexI, simp, simp)
apply (rule impI)+
apply (simp add:cf2sfiles_def, rule set_eqI, rule iffI, drule CollectD)
apply (erule bexE, frule_tac f' = f' in same_inode_files_closefd)
apply (simp add:current_files_closefd, simp, (erule conjE)+)
apply (rule_tac x = f'a in bexI, frule_tac f = f'a in cf2sfile_closefd)
apply (simp add:current_files_closefd same_inode_files_prop1, simp, simp)
apply (drule CollectD, erule bexE, frule_tac f' = f' in same_inode_files_closefd)
apply (simp add:current_files_closefd, simp)
apply (case_tac "f'a = a", simp)
apply (frule_tac f = f' and f' = a in same_inode_files_prop5, simp)
apply (erule bexE, erule conjE)
apply (rule_tac x = f'' in bexI)
apply (drule_tac f = f'' in cf2sfile_closefd, simp add:current_files_closefd same_inode_files_prop1)
apply (simp, simp, erule same_inode_files_prop4, simp)
apply (rule_tac x = f'a in bexI)
apply (drule_tac f = f'a in cf2sfile_closefd, simp add:current_files_closefd same_inode_files_prop1)
apply (simp, simp)
apply (rule conjI, clarify)
apply (rule impI)
apply (case_tac "a \<in> files_hung_by_del s", simp_all)
apply (simp add:cf2sfiles_def, rule set_eqI, rule iffI, drule CollectD)
apply (erule bexE, frule_tac f' = f' in same_inode_files_closefd)
apply (simp add:current_files_closefd, simp)
apply (rule_tac x = f'a in bexI)
apply (frule_tac f = f'a in cf2sfile_closefd)
apply (simp add:same_inode_files_prop1 current_files_closefd, simp, simp)
apply (drule CollectD, erule bexE, frule_tac f' = f' in same_inode_files_closefd)
apply (simp add:current_files_closefd, simp)
apply (rule_tac x = f'a in bexI)
apply (frule_tac f = f'a in cf2sfile_closefd)
apply (simp add:same_inode_files_prop1 current_files_closefd, simp, simp)
apply (simp add:cf2sfiles_def, rule set_eqI, rule iffI, drule CollectD)
apply (erule bexE, frule_tac f' = f' in same_inode_files_closefd)
apply (simp add:current_files_closefd, simp)
apply (rule_tac x = f'a in bexI)
apply (frule_tac f = f'a in cf2sfile_closefd)
apply (simp add:same_inode_files_prop1 current_files_closefd, simp, simp)
apply (drule CollectD, erule bexE, frule_tac f' = f' in same_inode_files_closefd)
apply (simp add:current_files_closefd, simp)
apply (rule_tac x = f'a in bexI)
apply (frule_tac f = f'a in cf2sfile_closefd)
apply (simp add:same_inode_files_prop1 current_files_closefd, simp, simp)
done
lemmas cf2sfiles_simps = cf2sfiles_open cf2sfiles_linkhard cf2sfiles_other
cf2sfiles_unlink cf2sfiles_closefd
(* simpset for co2sobj *)
lemma co2sobj_execve:
"\<lbrakk>valid (Execve p f fds # s); alive s obj\<rbrakk> \<Longrightarrow> co2sobj (Execve p f fds # s) obj = (
if (obj = O_proc p)
then (case (cp2sproc (Execve p f fds # s) p) of
Some sp \<Rightarrow> Some (S_proc sp (O_proc p \<in> Tainted s \<or> O_file f \<in> Tainted s))
| _ \<Rightarrow> None)
else co2sobj s obj )"
apply (frule vt_grant_os, frule vd_cons, case_tac obj)
apply (simp_all add:current_files_simps cf2sfiles_other ch2sshm_other cq2smsgq_other tainted_eq_Tainted)
apply (case_tac "cp2sproc (Execve p f fds # s) p")
apply (drule current_proc_has_sp', simp, simp)
apply (simp (no_asm_simp) add:cp2sproc_execve tainted_eq_Tainted split:option.splits)
apply (frule_tac s = s in is_dir_has_sdir', simp, erule exE, simp)
apply (frule_tac ff = list in cf2sfile_other', simp_all)
apply (simp add:is_dir_in_current)
done
lemma co2sobj_clone:
"\<lbrakk>valid (Clone p p' fds shms # s); alive s obj\<rbrakk> \<Longrightarrow> co2sobj (Clone p p' fds shms # s) obj = (
if (obj = O_proc p')
then (case (cp2sproc (Clone p p' fds shms # s) p') of
Some sp \<Rightarrow> Some (S_proc sp (O_proc p \<in> Tainted s))
| _ \<Rightarrow> None)
else co2sobj s obj )"
apply (frule vt_grant_os, frule vd_cons, case_tac obj)
apply (simp_all add:current_files_simps cf2sfiles_other ch2sshm_other cq2smsgq_other tainted_eq_Tainted)
apply (case_tac "cp2sproc (Clone p p' fds shms # s) p'")
apply (drule current_proc_has_sp', simp, simp)
apply ((erule conjE)+, frule_tac p = p in current_proc_has_sec, simp, erule exE, simp)
apply (rule conjI, rule impI, simp)
apply (simp (no_asm_simp) add:cp2sproc_clone tainted_eq_Tainted split:option.splits)
apply (frule_tac s = s in is_dir_has_sdir', simp, erule exE, simp)
apply (frule_tac ff = list in cf2sfile_other', simp_all)
apply (simp add:is_dir_in_current)
done
lemma co2sobj_ptrace:
"\<lbrakk>valid (Ptrace p p' # s); alive s obj\<rbrakk>\<Longrightarrow> co2sobj (Ptrace p p' # s) obj = (
case obj of
O_proc p'' \<Rightarrow> if (info_flow_shm s p' p'')
then (case (cp2sproc s p'') of
Some sp \<Rightarrow> Some (S_proc sp (O_proc p'' \<in> Tainted s \<or> O_proc p \<in> Tainted s))
| _ \<Rightarrow> None)
else if (info_flow_shm s p p'')
then (case (cp2sproc s p'') of
Some sp \<Rightarrow> Some (S_proc sp (O_proc p'' \<in> Tainted s \<or> O_proc p' \<in> Tainted s))
| _ \<Rightarrow> None)
else co2sobj s (O_proc p'')
| _ \<Rightarrow> co2sobj s obj)"
apply (frule vt_grant_os, frule vd_cons, case_tac obj)
apply (simp_all add:current_files_simps ch2sshm_other cq2smsgq_other cf2sfiles_other tainted_eq_Tainted)
apply (auto simp:cp2sproc_other tainted_eq_Tainted split:option.splits
dest!:current_proc_has_sec' current_proc_has_sp' intro:info_flow_shm_Tainted)[1]
apply (frule_tac s = s in is_dir_has_sdir', simp, erule exE, simp)
apply (frule_tac ff = list in cf2sfile_other', simp_all)
apply (simp add:is_dir_in_current)
done
lemma co2sobj_open:
"\<lbrakk>valid (Open p f flag fd opt # s); alive (Open p f flag fd opt # s) obj\<rbrakk>
\<Longrightarrow> co2sobj (Open p f flag fd opt # s) obj = (case obj of
O_file f' \<Rightarrow> if (f' = f \<and> opt \<noteq> None)
then (case (cf2sfile (Open p f flag fd opt # s) f) of
Some sf \<Rightarrow> Some (S_file {sf} (O_proc p \<in> Tainted s))
| _ \<Rightarrow> None)
else co2sobj s (O_file f')
| O_proc p' \<Rightarrow> if (p' = p)
then (case (cp2sproc (Open p f flag fd opt # s) p) of
Some sp \<Rightarrow> Some (S_proc sp (O_proc p \<in> Tainted s))
| _ \<Rightarrow> None)
else co2sobj s (O_proc p')
| _ \<Rightarrow> co2sobj s obj )"
apply (frule vt_grant_os, frule vd_cons, case_tac obj)
apply (auto simp:cp2sproc_simps tainted_eq_Tainted split:option.splits
dest!:current_proc_has_sp' intro:info_flow_shm_Tainted)[1]
apply (simp split:if_splits t_object.splits)
apply (rule conjI, rule impI, erule conjE, erule exE, simp, (erule exE|erule conjE)+)
apply (case_tac "cf2sfile (Open p f flag fd (Some y) # s) f")
apply (drule current_file_has_sfile', simp, simp add:current_files_simps, simp)
apply (frule_tac f' = f in cf2sfiles_open, simp add:current_files_simps)
apply (simp add:tainted_eq_Tainted)
apply (rule impI, rule notI, drule Tainted_in_current, simp, simp add:is_file_in_current)
apply (rule impI, simp add:tainted_eq_Tainted cf2sfiles_open is_file_in_current split:option.splits)
apply (simp_all add:current_files_simps is_dir_simps ch2sshm_other cq2smsgq_other tainted_eq_Tainted)
apply (frule is_dir_in_current)
apply (frule_tac f' = list in cf2sfile_open)
apply (simp add:current_files_simps split:option.splits)
apply (simp split:if_splits option.splits)
done
lemma co2sobj_readfile:
"\<lbrakk>valid (ReadFile p fd # s); alive s obj\<rbrakk> \<Longrightarrow> co2sobj (ReadFile p fd # s) obj = (
case obj of
O_proc p' \<Rightarrow> (case (file_of_proc_fd s p fd) of
Some f \<Rightarrow> (if (info_flow_shm s p p' \<and> O_file f \<in> Tainted s)
then (case (cp2sproc s p') of
Some sp \<Rightarrow> Some (S_proc sp True)
| _ \<Rightarrow> None)
else co2sobj s obj)
| _ \<Rightarrow> None)
| _ \<Rightarrow> co2sobj s obj)"
apply (frule vt_grant_os, frule vd_cons, case_tac obj)
apply (auto simp:cp2sproc_simps tainted_eq_Tainted split:option.splits
dest!:current_proc_has_sp' intro:info_flow_shm_Tainted)[1]
apply (simp_all add:current_files_simps is_dir_simps ch2sshm_other cq2smsgq_other tainted_eq_Tainted)
apply (auto split:if_splits option.splits dest!:current_file_has_sfile'
simp:current_files_simps cf2sfiles_simps cf2sfile_simps
dest:is_file_in_current is_dir_in_current)
done
lemma co2sobj_writefile:
"\<lbrakk>valid (WriteFile p fd # s); alive s obj\<rbrakk> \<Longrightarrow> co2sobj (WriteFile p fd # s) obj = (
case obj of
O_file f' \<Rightarrow> (case (file_of_proc_fd s p fd) of
Some f \<Rightarrow> (if (f \<in> same_inode_files s f')
then Some (S_file (cf2sfiles s f')
(O_file f' \<in> Tainted s \<or> O_proc p \<in> Tainted s))
else co2sobj s obj)
| _ \<Rightarrow> None)
| _ \<Rightarrow> co2sobj s obj)"
apply (frule vt_grant_os, frule vd_cons, case_tac obj)
apply (simp_all add:current_files_simps is_dir_simps ch2sshm_other cq2smsgq_other tainted_eq_Tainted)
apply (auto split:if_splits option.splits dest!:current_file_has_sfile' current_proc_has_sp'
simp:current_files_simps cf2sfiles_simps cf2sfile_simps cp2sproc_simps tainted_eq_Tainted
same_inode_files_prop6
dest:is_file_in_current is_dir_in_current)
(* should delete has_same_inode !?!?*)
by (auto simp:same_inode_files_def is_file_def has_same_inode_def split:if_splits option.splits)
lemma co2sobj_closefd:
"\<lbrakk>valid (CloseFd p fd # s); alive (CloseFd p fd # s) obj\<rbrakk> \<Longrightarrow> co2sobj (CloseFd p fd # s) obj = (
case obj of
O_file f' \<Rightarrow> (case (file_of_proc_fd s p fd) of
Some f \<Rightarrow> (if (f' \<in> same_inode_files s f \<and> proc_fd_of_file s f = {(p, fd)} \<and>
f \<in> files_hung_by_del s \<and> (\<forall> f'' \<in> same_inode_files s f.
f'' \<noteq> f \<longrightarrow> cf2sfile s f'' \<noteq> cf2sfile s f))
then (case (cf2sfile s f, co2sobj s (O_file f')) of
(Some sf, Some (S_file sfs b)) \<Rightarrow> Some (S_file (sfs - {sf}) b)
| _ \<Rightarrow> None)
else co2sobj s obj)
| _ \<Rightarrow> co2sobj s obj)
| O_proc p' \<Rightarrow> (if (p = p')
then (case (cp2sproc (CloseFd p fd # s) p) of
Some sp \<Rightarrow> Some (S_proc sp (O_proc p \<in> Tainted s))
| _ \<Rightarrow> None)
else co2sobj s obj)
| _ \<Rightarrow> co2sobj s obj) "
apply (frule vt_grant_os, frule vd_cons, case_tac obj)
apply (simp_all add:current_files_simps ch2sshm_other cq2smsgq_other tainted_eq_Tainted)
apply (auto simp:cp2sproc_simps tainted_eq_Tainted split:option.splits if_splits
dest!:current_proc_has_sp' intro:info_flow_shm_Tainted)[1]
apply (frule is_file_in_current)
apply (case_tac "file_of_proc_fd s p fd")
apply (simp add:tainted_eq_Tainted)
apply (drule_tac f' = list in cf2sfiles_closefd, simp add:current_files_closefd, simp)
apply (frule_tac f' = list in cf2sfiles_closefd, simp)
apply (simp add:is_file_simps current_files_simps)
apply (auto simp add:tainted_eq_Tainted cf2sfile_closefd split:if_splits option.splits
dest!:current_file_has_sfile' dest:hung_file_in_current)[1]
apply (simp add:is_dir_simps, frule is_dir_in_current)
apply (frule_tac f = list in cf2sfile_closefd)
apply (clarsimp simp:current_files_closefd split:option.splits)
apply (drule file_of_pfd_is_file', simp+)
done
lemma co2sobj_unlink:
"\<lbrakk>valid (UnLink p f # s); alive (UnLink p f # s) obj\<rbrakk> \<Longrightarrow> co2sobj (UnLink p f # s) obj = (
case obj of
O_file f' \<Rightarrow> if (f' \<in> same_inode_files s f \<and> proc_fd_of_file s f = {} \<and>
(\<forall> f'' \<in> same_inode_files s f. f'' \<noteq> f \<longrightarrow> cf2sfile s f'' \<noteq> cf2sfile s f))
then (case (cf2sfile s f, co2sobj s (O_file f')) of
(Some sf, Some (S_file sfs b)) \<Rightarrow> Some (S_file (sfs - {sf}) b)
| _ \<Rightarrow> None)
else co2sobj s obj
| _ \<Rightarrow> co2sobj s obj)"
apply (frule vt_grant_os, frule vd_cons, case_tac obj)
apply (simp_all add:current_files_simps ch2sshm_other cq2smsgq_other tainted_eq_Tainted)
apply (auto simp:cp2sproc_simps tainted_eq_Tainted split:option.splits if_splits
dest!:current_proc_has_sp' intro:info_flow_shm_Tainted)[1]
apply (frule is_file_in_current)
apply (frule_tac f' = list in cf2sfile_unlink, simp)
apply (frule_tac f' = list in cf2sfiles_unlink, simp)
apply (simp add:is_file_simps current_files_simps)
apply (auto simp add:tainted_eq_Tainted is_file_in_current split:if_splits option.splits
dest!:current_file_has_sfile')[1]
apply (simp add:is_dir_simps, frule is_dir_in_current)
apply (frule_tac f' = list in cf2sfile_unlink)
apply (clarsimp simp:current_files_unlink split:option.splits)
apply (drule file_dir_conflict, simp+)
done
lemma co2sobj_rmdir:
"\<lbrakk>valid (Rmdir p f # s); alive (Rmdir p f # s) obj\<rbrakk> \<Longrightarrow> co2sobj (Rmdir p f # s) obj = co2sobj s obj"
apply (frule vt_grant_os, frule vd_cons, case_tac obj)
apply (simp_all add:current_files_simps ch2sshm_other cq2smsgq_other tainted_eq_Tainted)
apply (auto simp:cp2sproc_simps tainted_eq_Tainted split:option.splits if_splits
dest!:current_proc_has_sp' intro:info_flow_shm_Tainted)[1]
apply (simp add:is_file_simps dir_is_empty_def)
apply (case_tac "f = list", drule file_dir_conflict, simp, simp)
apply (simp add:cf2sfiles_other)
apply (auto simp:cf2sfile_simps dest:is_dir_in_current)
done
lemma co2sobj_mkdir:
"\<lbrakk>valid (Mkdir p f i # s); alive (Mkdir p f i # s) obj\<rbrakk> \<Longrightarrow> co2sobj (Mkdir p f i # s) obj = (
if (obj = O_dir f)
then (case (cf2sfile (Mkdir p f i # s) f) of
Some sf \<Rightarrow> Some (S_dir sf)
| _ \<Rightarrow> None)
else co2sobj s obj)"
apply (frule vt_grant_os, frule vd_cons, case_tac obj)
apply (simp_all add:current_files_simps ch2sshm_other cq2smsgq_other tainted_eq_Tainted)
apply (auto simp:cp2sproc_simps tainted_eq_Tainted split:option.splits if_splits
dest!:current_proc_has_sp' intro:info_flow_shm_Tainted)[1]
apply (frule_tac cf2sfiles_other, simp+)
apply (frule is_dir_in_current, rule impI, simp add:current_files_mkdir)
apply (frule current_file_has_sfile, simp, erule exE, simp)
apply (drule cf2sfile_mkdir1, simp+)
done
lemma same_inodes_Tainted:
"\<lbrakk>f \<in> same_inode_files s f'; valid s\<rbrakk> \<Longrightarrow> (O_file f \<in> Tainted s) = (O_file f' \<in> Tainted s)"
apply (frule same_inode_files_prop8, frule same_inode_files_prop7)
apply (auto intro:has_same_inode_Tainted)
done
lemma co2sobj_linkhard:
"\<lbrakk>valid (LinkHard p oldf f # s); alive (LinkHard p oldf f # s) obj\<rbrakk>
\<Longrightarrow> co2sobj (LinkHard p oldf f # s) obj = (
case obj of
O_file f' \<Rightarrow> if (f' = f \<or> f' \<in> same_inode_files s oldf)
then (case (cf2sfile (LinkHard p oldf f # s) f) of
Some sf \<Rightarrow> Some (S_file (cf2sfiles s oldf \<union> {sf}) (O_file oldf \<in> Tainted s))
| _ \<Rightarrow> None)
else co2sobj s obj
| _ \<Rightarrow> co2sobj s obj)"
apply (frule vt_grant_os, frule vd_cons, case_tac obj)
apply (simp_all add:current_files_simps ch2sshm_other cq2smsgq_other tainted_eq_Tainted)
apply (auto simp:cp2sproc_simps tainted_eq_Tainted split:option.splits if_splits
dest!:current_proc_has_sp' intro:info_flow_shm_Tainted)[1]
apply (frule_tac cf2sfiles_linkhard, simp+)
apply (frule_tac f' = f in cf2sfile_linkhard, simp add:current_files_linkhard)
apply (auto simp:is_file_simps sectxt_of_obj_simps current_files_simps is_file_in_current same_inodes_Tainted
split:option.splits if_splits dest:Tainted_in_current
dest!:current_has_sec' current_file_has_sfile')[1]
apply (frule is_dir_in_current, simp add:current_files_linkhard is_dir_simps is_dir_in_current)
apply (frule is_dir_in_current)
apply (frule current_file_has_sfile, simp)
apply (drule cf2sfile_linkhard1, simp+)
done
lemma co2sobj_truncate:
"\<lbrakk>valid (Truncate p f len # s); alive s obj\<rbrakk> \<Longrightarrow> co2sobj (Truncate p f len # s) obj = (
case obj of
O_file f' \<Rightarrow> if (f' \<in> same_inode_files s f \<and> len > 0)
then Some (S_file (cf2sfiles s f') (O_file f' \<in> Tainted s \<or> O_proc p \<in> Tainted s))
else co2sobj s obj
| _ \<Rightarrow> co2sobj s obj)"
apply (frule vt_grant_os, frule vd_cons, case_tac obj)
apply (simp_all add:current_files_simps is_dir_simps ch2sshm_other cq2smsgq_other tainted_eq_Tainted)
apply (auto split:if_splits option.splits dest!:current_file_has_sfile' current_proc_has_sp'
simp:current_files_simps cf2sfiles_simps cf2sfile_simps cp2sproc_simps tainted_eq_Tainted
same_inode_files_prop6
dest:is_file_in_current is_dir_in_current)
(* should delete has_same_inode !?!?*)
by (auto simp:same_inode_files_def is_file_def has_same_inode_def split:if_splits option.splits)
lemma co2sobj_kill:
"\<lbrakk>valid (Kill p p' # s); alive (Kill p p' # s) obj\<rbrakk> \<Longrightarrow> co2sobj (Kill p p' # s) obj = co2sobj s obj"
apply (frule vt_grant_os, frule vd_cons, case_tac obj)
apply (simp_all add:current_files_simps is_dir_simps ch2sshm_other cq2smsgq_other tainted_eq_Tainted)
apply (auto split:if_splits option.splits dest!:current_file_has_sfile' current_proc_has_sp'
simp:current_files_simps cf2sfiles_simps cf2sfile_simps cp2sproc_simps tainted_eq_Tainted
same_inode_files_prop6
dest:is_file_in_current is_dir_in_current)
done
lemma co2sobj_exit:
"\<lbrakk>valid (Exit p # s); alive (Exit p # s) obj\<rbrakk> \<Longrightarrow> co2sobj (Exit p # s) obj = co2sobj s obj"
apply (frule vt_grant_os, frule vd_cons, case_tac obj)
apply (simp_all add:current_files_simps is_dir_simps ch2sshm_other cq2smsgq_other tainted_eq_Tainted)
apply (auto split:if_splits option.splits dest!:current_file_has_sfile' current_proc_has_sp'
simp:current_files_simps cf2sfiles_simps cf2sfile_simps cp2sproc_simps tainted_eq_Tainted
same_inode_files_prop6
dest:is_file_in_current is_dir_in_current)
done
lemma co2sobj_createmsgq:
"\<lbrakk>valid (CreateMsgq p q # s); alive (CreateMsgq p q # s) obj\<rbrakk> \<Longrightarrow> co2sobj (CreateMsgq p q # s) obj = (
case obj of
O_msgq q' \<Rightarrow> if (q' = q) then (case (cq2smsgq (CreateMsgq p q # s) q) of
Some sq \<Rightarrow> Some (S_msgq sq)
| _ \<Rightarrow> None)
else co2sobj s obj
| _ \<Rightarrow> co2sobj s obj)"
apply (frule vt_grant_os, frule vd_cons, case_tac obj)
apply (simp_all add:current_files_simps is_dir_simps ch2sshm_other cq2smsgq_other tainted_eq_Tainted)
apply (auto split:if_splits option.splits dest!:current_file_has_sfile' current_proc_has_sp'
simp:current_files_simps cf2sfiles_simps cf2sfile_simps cp2sproc_simps tainted_eq_Tainted
same_inode_files_prop6
dest!:current_has_smsgq'
dest:is_file_in_current is_dir_in_current cq2smsg_createmsgq)
done
lemma co2sobj_sendmsg:
"\<lbrakk>valid (SendMsg p q m # s); alive (SendMsg p q m # s) obj\<rbrakk> \<Longrightarrow> co2sobj (SendMsg p q m # s) obj = (
case obj of
O_msgq q' \<Rightarrow> if (q' = q) then (case (cq2smsgq (SendMsg p q m # s) q) of
Some sq \<Rightarrow> Some (S_msgq sq)
| _ \<Rightarrow> None)
else co2sobj s obj
| _ \<Rightarrow> co2sobj s obj)"
apply (frule vt_grant_os, frule vd_cons, case_tac obj)
apply (simp_all add:current_files_simps is_dir_simps ch2sshm_other cq2smsgq_other tainted_eq_Tainted)
apply (auto split:if_splits option.splits dest!:current_file_has_sfile' current_proc_has_sp'
simp:current_files_simps cf2sfiles_simps cf2sfile_simps cp2sproc_simps tainted_eq_Tainted
same_inode_files_prop6
dest!:current_has_smsgq'
dest:is_file_in_current is_dir_in_current cq2smsg_sendmsg)
done
lemma co2sobj_recvmsg:
"\<lbrakk>valid (RecvMsg p q m # s); alive (RecvMsg p q m # s) obj\<rbrakk> \<Longrightarrow> co2sobj (RecvMsg p q m # s) obj = (
case obj of
O_msgq q' \<Rightarrow> if (q' = q) then (case (cq2smsgq (RecvMsg p q m # s) q) of
Some sq \<Rightarrow> Some (S_msgq sq)
| _ \<Rightarrow> None)
else co2sobj s obj
| O_proc p' \<Rightarrow> if (info_flow_shm s p p' \<and> O_msg q m \<in> Tainted s)
then (case (cp2sproc s p') of
Some sp \<Rightarrow> Some (S_proc sp True)
| _ \<Rightarrow> None)
else co2sobj s obj
| _ \<Rightarrow> co2sobj s obj)"
apply (frule vt_grant_os, frule vd_cons, case_tac obj)
apply (simp_all add:current_files_simps is_dir_simps ch2sshm_other cq2smsgq_other tainted_eq_Tainted)
apply (auto split:if_splits option.splits dest!:current_file_has_sfile' current_proc_has_sp'
simp:current_files_simps cf2sfiles_simps cf2sfile_simps cp2sproc_simps tainted_eq_Tainted
same_inode_files_prop6
dest!:current_has_smsgq'
dest:is_file_in_current is_dir_in_current cq2smsg_recvmsg)
done
lemma co2sobj_removemsgq:
"\<lbrakk>valid (RemoveMsgq p q # s); alive (RemoveMsgq p q # s) obj\<rbrakk>
\<Longrightarrow> co2sobj (RemoveMsgq p q # s) obj = co2sobj s obj"
apply (frule vt_grant_os, frule vd_cons, case_tac obj)
apply (simp_all add:current_files_simps is_dir_simps ch2sshm_other cq2smsgq_other tainted_eq_Tainted)
apply (auto split:if_splits option.splits dest!:current_file_has_sfile' current_proc_has_sp'
simp:current_files_simps cf2sfiles_simps cf2sfile_simps cp2sproc_simps tainted_eq_Tainted
same_inode_files_prop6
dest!:current_has_smsgq'
dest:is_file_in_current is_dir_in_current cq2smsg_removemsgq)
done
lemma co2sobj_createshm:
"\<lbrakk>valid (CreateShM p h # s); alive s obj\<rbrakk> \<Longrightarrow> co2sobj (CreateShM p h # s) obj = co2sobj s obj"
apply (frule vt_grant_os, frule vd_cons, case_tac obj)
apply (simp_all add:current_files_simps is_dir_simps ch2sshm_other cq2smsgq_other tainted_eq_Tainted)
apply (auto split:if_splits option.splits dest!:current_file_has_sfile' current_proc_has_sp'
simp:current_files_simps cf2sfiles_simps cf2sfile_simps cp2sproc_simps tainted_eq_Tainted
same_inode_files_prop6 ch2sshm_simps
dest!:current_shm_has_sh'
dest:is_file_in_current is_dir_in_current)
done
lemma co2sobj_detach:
"\<lbrakk>valid (Detach p h # s); alive s obj\<rbrakk> \<Longrightarrow> co2sobj (Detach p h # s) obj = (
case obj of
O_proc p' \<Rightarrow> if (p' = p) then (case (cp2sproc (Detach p h # s) p) of
Some sp \<Rightarrow> Some (S_proc sp (O_proc p \<in> Tainted s))
| _ \<Rightarrow> None)
else co2sobj s obj
| _ \<Rightarrow> co2sobj s obj)"
apply (frule vt_grant_os, frule vd_cons, case_tac obj)
apply (simp_all add:current_files_simps is_dir_simps ch2sshm_other cq2smsgq_other tainted_eq_Tainted)
apply (auto split:if_splits option.splits dest!:current_file_has_sfile' current_proc_has_sp'
simp:current_files_simps cf2sfiles_simps cf2sfile_simps cp2sproc_simps tainted_eq_Tainted
same_inode_files_prop6 ch2sshm_simps
dest!:current_shm_has_sh'
dest:is_file_in_current is_dir_in_current)
done
lemma co2sobj_deleteshm:
"\<lbrakk>valid (DeleteShM p h # s); alive (DeleteShM p h # s) obj\<rbrakk> \<Longrightarrow> co2sobj (DeleteShM p h # s) obj = (
case obj of
O_proc p' \<Rightarrow> (case (cp2sproc (DeleteShM p h # s) p') of
Some sp \<Rightarrow> Some (S_proc sp (O_proc p' \<in> Tainted s))
| _ \<Rightarrow> None)
| _ \<Rightarrow> co2sobj s obj)"
apply (frule vt_grant_os, frule vd_cons, case_tac obj)
apply (simp_all add:current_files_simps is_dir_simps ch2sshm_other cq2smsgq_other tainted_eq_Tainted)
apply (auto split:if_splits option.splits dest!:current_file_has_sfile' current_proc_has_sp'
simp:current_files_simps cf2sfiles_simps cf2sfile_simps tainted_eq_Tainted
same_inode_files_prop6 ch2sshm_simps
dest!:current_shm_has_sh'
dest:is_file_in_current is_dir_in_current)
done
lemma co2sobj_attach:
"\<lbrakk>valid (Attach p h flag # s); alive s obj\<rbrakk> \<Longrightarrow> co2sobj (Attach p h flag # s) obj = (
case obj of
O_proc p' \<Rightarrow> if (p' = p)
then (case (cp2sproc (Attach p h flag # s) p) of
Some sp \<Rightarrow> Some (S_proc sp (O_proc p \<in> Tainted s \<or>
(\<exists> p'. O_proc p' \<in> Tainted s \<and> (p', SHM_RDWR) \<in> procs_of_shm s h)))
| _ \<Rightarrow> None)
else if (\<exists> flag'. (p', flag') \<in> procs_of_shm s h)
then (case (cp2sproc s p') of
Some sp \<Rightarrow> Some (S_proc sp (O_proc p' \<in> Tainted s \<or>
(O_proc p \<in> Tainted s \<and> flag = SHM_RDWR)))
| _ \<Rightarrow> None)
else co2sobj s obj
| _ \<Rightarrow> co2sobj s obj)"
apply (frule vt_grant_os, frule vd_cons, case_tac obj)
apply (simp_all add:current_files_simps is_dir_simps ch2sshm_other cq2smsgq_other tainted_eq_Tainted)
apply (rule conjI|rule impI|erule exE)+
apply (simp split:option.splits)
apply (rule impI, frule current_proc_has_sp, simp)
apply ((erule exE)+, auto simp:cp2sproc_attach tainted_eq_Tainted)[1]
apply (rule impI|rule conjI)+
apply (subgoal_tac "p \<in> current_procs (Attach p h flag # s)")
apply (drule_tac p = p in current_proc_has_sp, simp, erule exE)
apply (auto simp:tainted_eq_Tainted)[1]
apply (simp, rule impI)
apply (subgoal_tac "nat \<in> current_procs (Attach p h flag # s)")
apply (drule_tac p = nat in current_proc_has_sp, simp, erule exE)
apply (drule_tac p = nat in current_proc_has_sp, simp, erule exE)
apply (auto simp:cp2sproc_attach tainted_eq_Tainted)[1]
apply simp
apply (auto split:if_splits option.splits dest!:current_file_has_sfile'
simp:current_files_simps cf2sfiles_simps cf2sfile_simps tainted_eq_Tainted
same_inode_files_prop6
dest:is_file_in_current is_dir_in_current)
done
lemma co2sobj_other:
"\<lbrakk>valid (e # s); alive (e # s) obj;
\<forall> p f fds. e \<noteq> Execve p f fds;
\<forall> p p' fds shms. e \<noteq> Clone p p' fds shms;
\<forall> p p'. e \<noteq> Ptrace p p';
\<forall> p f flags fd opt. e \<noteq> Open p f flags fd opt;
\<forall> p fd. e \<noteq> ReadFile p fd;
\<forall> p fd. e \<noteq> WriteFile p fd;
\<forall> p fd. e \<noteq> CloseFd p fd;
\<forall> p f. e \<noteq> UnLink p f;
\<forall> p f. e \<noteq> Rmdir p f;
\<forall> p f i. e \<noteq> Mkdir p f i;
\<forall> p f f'. e \<noteq> LinkHard p f f';
\<forall> p f len. e \<noteq> Truncate p f len;
\<forall> p q. e \<noteq> CreateMsgq p q;
\<forall> p q m. e \<noteq> SendMsg p q m;
\<forall> p q m. e \<noteq> RecvMsg p q m;
\<forall> p q. e \<noteq> RemoveMsgq p q;
\<forall> p h. e \<noteq> CreateShM p h;
\<forall> p h flag. e \<noteq> Attach p h flag;
\<forall> p h. e \<noteq> Detach p h;
\<forall> p h. e \<noteq> DeleteShM p h
\<rbrakk> \<Longrightarrow> co2sobj (e # s) obj = co2sobj s obj"
apply (frule vt_grant, case_tac e)
apply (auto intro:co2sobj_kill co2sobj_exit)
done
lemmas co2sobj_simps = co2sobj_execve co2sobj_clone co2sobj_ptrace co2sobj_open co2sobj_readfile
co2sobj_writefile co2sobj_closefd co2sobj_unlink co2sobj_rmdir co2sobj_mkdir co2sobj_linkhard
co2sobj_truncate co2sobj_kill co2sobj_exit co2sobj_createmsgq co2sobj_sendmsg co2sobj_recvmsg
co2sobj_removemsgq co2sobj_attach co2sobj_detach co2sobj_createshm co2sobj_deleteshm
(* simpset for s2ss*)
lemma s2ss_execve:
"valid (Execve p f fds # s) \<Longrightarrow> s2ss (Execve p f fds # s) = (
if (\<exists> p'. p' \<noteq> p \<and> p' \<in> current_procs s \<and> co2sobj s (O_proc p') = co2sobj s (O_proc p))
then (case (cp2sproc (Execve p f fds # s) p) of
Some sp \<Rightarrow> s2ss s \<union> {S_proc sp (O_proc p \<in> Tainted s \<or> O_file f \<in> Tainted s)}
| _ \<Rightarrow> s2ss s)
else (case (cp2sproc (Execve p f fds # s) p) of
Some sp \<Rightarrow> s2ss s - {S_proc sp (O_proc p \<in> Tainted s)}
\<union> {S_proc sp (O_proc p \<in> Tainted s \<or> O_file f \<in> Tainted s)}
| _ \<Rightarrow> s2ss s) )"
apply (frule vd_cons, frule vt_grant_os, simp split:if_splits)
apply (rule conjI, clarify)
apply (frule_tac p = p in current_proc_has_sp, simp, erule exE)
apply (frule_tac p = p' in current_proc_has_sp, simp, erule exE)
apply (simp, (erule conjE)+)
apply (split option.splits, rule conjI, rule impI, drule current_proc_has_sp', simp, simp)
apply (rule allI, rule impI)
apply (rule set_eqI, rule iffI)
apply (simp split:option.splits)
apply (frule_tac p = p and s = "Execve p f fds # s" in current_proc_has_sp)
thm current_proc_has_sp
apply (simp split:option.splits)
apply (drule current_proc_has_sp', simp, simp)
apply (rule conjI, rule impI, drule current_proc_has_sp', simp, simp)
apply (simp add:s2ss_def)
apply (rule allI|rule impI)+
apply (rule set_eqI, rule iffI)
apply (auto simp:alive_simps)
apply (case_tac obj, auto split:option.splits simp:cp2sproc_execve)
apply (auto split:if_splits)