86 lines
2.4 KiB
Plaintext
86 lines
2.4 KiB
Plaintext
(*
|
|
* Copyright 2014, General Dynamics C4 Systems
|
|
*
|
|
* This software may be distributed and modified according to the terms of
|
|
* the GNU General Public License version 2. Note that NO WARRANTY is provided.
|
|
* See "LICENSE_GPLv2.txt" for details.
|
|
*
|
|
* @TAG(GD_GPL)
|
|
*)
|
|
|
|
theory LevityCatch_AI
|
|
imports
|
|
"./$L4V_ARCH/ArchLevityCatch_AI"
|
|
begin
|
|
|
|
context begin interpretation Arch .
|
|
requalify_facts
|
|
aobj_ref_arch_cap
|
|
|
|
end
|
|
|
|
lemmas aobj_ref_arch_cap_simps[simp] = aobj_ref_arch_cap
|
|
|
|
lemma detype_arch_state :
|
|
"arch_state (detype S s) = arch_state s"
|
|
by (simp add: detype_def)
|
|
|
|
lemma obj_ref_elemD:
|
|
"r \<in> obj_refs cap \<Longrightarrow> obj_refs cap = {r}"
|
|
by (cases cap, simp_all)
|
|
|
|
|
|
definition
|
|
"diminished cap cap' \<equiv> \<exists>R. cap = mask_cap R cap'"
|
|
|
|
|
|
lemma const_on_failure_wp :
|
|
"\<lbrace>P\<rbrace> m \<lbrace>Q\<rbrace>, \<lbrace>\<lambda>rv. Q n\<rbrace> \<Longrightarrow> \<lbrace>P\<rbrace> const_on_failure n m \<lbrace>Q\<rbrace>"
|
|
apply (simp add: const_on_failure_def)
|
|
apply wp
|
|
apply simp
|
|
done
|
|
|
|
lemma get_cap_id:
|
|
"(v, s') \<in> fst (get_cap p s) \<Longrightarrow> (s' = s)"
|
|
by (clarsimp simp: get_cap_def get_object_def in_monad
|
|
split_def
|
|
split: Structures_A.kernel_object.splits)
|
|
|
|
|
|
lemmas cap_irq_opt_simps[simp] =
|
|
cap_irq_opt_def [split_simps cap.split sum.split]
|
|
|
|
lemmas cap_irqs_simps[simp] =
|
|
cap_irqs_def [unfolded cap_irq_opt_def, split_simps cap.split sum.split, simplified option.simps]
|
|
|
|
|
|
lemma all_eq_trans: "\<lbrakk> \<forall>x. P x = Q x; \<forall>x. Q x = R x \<rbrakk> \<Longrightarrow> \<forall>x. P x = R x"
|
|
by simp
|
|
|
|
|
|
declare liftE_wp[wp]
|
|
declare case_sum_True[simp]
|
|
declare select_singleton[simp]
|
|
|
|
crunch_ignore (add: cap_swap_ext
|
|
cap_move_ext cap_insert_ext empty_slot_ext create_cap_ext
|
|
do_extended_op)
|
|
|
|
lemma select_ext_weak_wp[wp]: "\<lbrace>\<lambda>s. \<forall>x\<in>S. Q x s\<rbrace> select_ext a S \<lbrace>Q\<rbrace>"
|
|
apply (simp add: select_ext_def)
|
|
apply (wp select_wp)
|
|
apply simp
|
|
done
|
|
|
|
lemma select_ext_wp[wp]:"\<lbrace>\<lambda>s. a s \<in> S \<longrightarrow> Q (a s) s\<rbrace> select_ext a S \<lbrace>Q\<rbrace>"
|
|
apply (simp add: select_ext_def unwrap_ext_det_ext_ext_def)
|
|
apply (wp select_wp)
|
|
apply (simp add: unwrap_ext_det_ext_ext_def select_switch_det_ext_ext_def)
|
|
done
|
|
|
|
(* FIXME: move *)
|
|
lemmas mapM_UNIV_wp = mapM_wp[where S="UNIV", simplified]
|
|
|
|
end
|