lh-l4v/proof/invariant-abstract/ARM/ArchEmptyFail_AI.thy

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(*
* 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 ArchEmptyFail_AI
imports "../EmptyFail_AI"
begin
context Arch begin global_naming ARM
named_theorems EmptyFail_AI_assms
crunch_ignore (empty_fail)
(add: invalidateLocalTLB_ASID_impl invalidateLocalTLB_VAASID_impl cleanByVA_impl
cleanByVA_PoU_impl invalidateByVA_impl invalidateByVA_I_impl
invalidate_I_PoU_impl cleanInvalByVA_impl branchFlush_impl
clean_D_PoU_impl cleanInvalidate_D_PoC_impl cleanInvalidateL2Range_impl
invalidateL2Range_impl cleanL2Range_impl flushBTAC_impl
writeContextID_impl isb_impl dsb_impl dmb_impl setHardwareASID_impl
writeTTBR0_impl cacheRangeOp)
crunch (empty_fail) empty_fail[wp, EmptyFail_AI_assms]:
loadWord, load_word_offs, storeWord, getRestartPC, get_mrs
end
global_interpretation EmptyFail_AI_load_word?: EmptyFail_AI_load_word
proof goal_cases
interpret Arch .
case 1 show ?case by (unfold_locales; (fact EmptyFail_AI_assms)?)
qed
context Arch begin global_naming ARM
crunch (empty_fail) empty_fail[wp, EmptyFail_AI_assms]: handle_fault
(simp: kernel_object.splits option.splits arch_cap.splits cap.splits endpoint.splits
bool.splits list.splits thread_state.splits split_def catch_def sum.splits
Let_def wp: zipWithM_x_empty_fail)
crunch (empty_fail) empty_fail[wp]:
decode_tcb_configure, decode_bind_notification, decode_unbind_notification,
decode_set_priority, decode_set_mcpriority, decode_set_sched_params,
decode_set_tls_base
(simp: cap.splits arch_cap.splits split_def)
lemma decode_tcb_invocation_empty_fail[wp]:
"empty_fail (decode_tcb_invocation a b (ThreadCap p) d e)"
by (simp add: decode_tcb_invocation_def split: invocation_label.splits | wp | intro conjI impI)+
crunch (empty_fail) empty_fail[wp]: find_pd_for_asid, get_master_pde, check_vp_alignment,
create_mapping_entries, ensure_safe_mapping, get_asid_pool, resolve_vaddr
(simp: kernel_object.splits arch_kernel_obj.splits option.splits pde.splits pte.splits)
lemma arch_decode_ARMASIDControlMakePool_empty_fail:
"invocation_type label = ArchInvocationLabel ARMASIDControlMakePool
\<Longrightarrow> empty_fail (arch_decode_invocation label b c d e f)"
apply (simp add: arch_decode_invocation_def Let_def)
apply (intro impI conjI allI)
apply (simp add: isPageFlushLabel_def isPDFlushLabel_def split: arch_cap.splits)+
apply (rule impI)
apply (simp add: split_def)
apply wp
apply simp
apply (subst bindE_assoc[symmetric])
apply (rule empty_fail_bindE)
subgoal by (fastforce simp: empty_fail_def whenE_def throwError_def select_ext_def bindE_def bind_def return_def returnOk_def lift_def liftE_def fail_def gets_def get_def assert_def select_def split: if_split_asm)
by (simp add: Let_def split: cap.splits arch_cap.splits option.splits bool.splits | wp | intro conjI impI allI)+
lemma arch_decode_ARMASIDPoolAssign_empty_fail:
"invocation_type label = ArchInvocationLabel ARMASIDPoolAssign
\<Longrightarrow> empty_fail (arch_decode_invocation label b c d e f)"
apply (simp add: arch_decode_invocation_def split_def Let_def isPageFlushLabel_def isPDFlushLabel_def
split: arch_cap.splits cap.splits option.splits | intro impI allI)+
apply (rule empty_fail_bindE)
apply simp
apply (rule empty_fail_bindE)
apply ((simp | wp)+)[1]
apply (rule empty_fail_bindE)
apply ((simp | wp)+)[1]
apply (rule empty_fail_bindE)
apply ((simp | wp)+)[1]
apply (subst bindE_assoc[symmetric])
apply (rule empty_fail_bindE)
subgoal by (fastforce simp: empty_fail_def whenE_def throwError_def select_def bindE_def
bind_def return_def returnOk_def lift_def liftE_def select_ext_def
gets_def get_def assert_def fail_def)
apply wp
done
lemma arch_decode_invocation_empty_fail[wp]:
"empty_fail (arch_decode_invocation label b c d e f)"
apply (case_tac "invocation_type label")
apply (find_goal \<open>match premises in "_ = ArchInvocationLabel _" \<Rightarrow> \<open>-\<close>\<close>)
apply (rename_tac alabel)
apply (case_tac alabel; simp)
apply (find_goal \<open>succeeds \<open>erule arch_decode_ARMASIDControlMakePool_empty_fail\<close>\<close>)
apply (find_goal \<open>succeeds \<open>erule arch_decode_ARMASIDPoolAssign_empty_fail\<close>\<close>)
apply ((simp add: arch_decode_ARMASIDControlMakePool_empty_fail arch_decode_ARMASIDPoolAssign_empty_fail)+)[2]
including no_pre
by ((simp add: arch_decode_invocation_def Let_def split: arch_cap.splits cap.splits option.splits | (wp+) | intro conjI impI allI)+)
end
global_interpretation EmptyFail_AI_derive_cap?: EmptyFail_AI_derive_cap
proof goal_cases
interpret Arch .
case 1 show ?case by (unfold_locales; (fact EmptyFail_AI_assms)?)
qed
context Arch begin global_naming ARM
crunch (empty_fail) empty_fail[wp, EmptyFail_AI_assms]: maskInterrupt, empty_slot,
setHardwareASID, set_current_pd, finalise_cap, preemption_point,
cap_swap_for_delete, decode_invocation
(simp: Let_def catch_def split_def OR_choiceE_def mk_ef_def option.splits endpoint.splits
notification.splits thread_state.splits sum.splits cap.splits arch_cap.splits
kernel_object.splits vmpage_size.splits pde.splits bool.splits list.splits)
crunch (empty_fail) empty_fail[wp, EmptyFail_AI_assms]: setRegister, setNextPC
end
global_interpretation EmptyFail_AI_rec_del?: EmptyFail_AI_rec_del
proof goal_cases
interpret Arch .
case 1 show ?case by (unfold_locales; (fact EmptyFail_AI_assms)?)
qed
context Arch begin global_naming ARM
crunch (empty_fail) empty_fail[wp, EmptyFail_AI_assms]:
cap_delete, choose_thread
end
global_interpretation EmptyFail_AI_schedule_unit?: EmptyFail_AI_schedule_unit
proof goal_cases
interpret Arch .
case 1 show ?case by (unfold_locales; (fact EmptyFail_AI_assms)?)
qed
global_interpretation EmptyFail_AI_schedule_det?: EmptyFail_AI_schedule_det
proof goal_cases
interpret Arch .
case 1 show ?case by (unfold_locales; (fact EmptyFail_AI_assms)?)
qed
global_interpretation EmptyFail_AI_schedule?: EmptyFail_AI_schedule
proof goal_cases
interpret Arch .
case 1 show ?case by (unfold_locales; (fact EmptyFail_AI_assms)?)
qed
context Arch begin global_naming ARM
crunch (empty_fail) empty_fail[wp, EmptyFail_AI_assms]: handle_event, activate_thread
(simp: cap.splits arch_cap.splits split_def invocation_label.splits Let_def
kernel_object.splits arch_kernel_obj.splits option.splits pde.splits pte.splits
bool.splits apiobject_type.splits aobject_type.splits notification.splits
thread_state.splits endpoint.splits catch_def sum.splits cnode_invocation.splits
page_table_invocation.splits page_invocation.splits asid_control_invocation.splits
asid_pool_invocation.splits arch_invocation.splits irq_state.splits syscall.splits
flush_type.splits page_directory_invocation.splits
ignore: resetTimer_impl ackInterrupt_impl)
end
global_interpretation EmptyFail_AI_call_kernel_unit?: EmptyFail_AI_call_kernel_unit
proof goal_cases
interpret Arch .
case 1 show ?case by (unfold_locales; (fact EmptyFail_AI_assms)?)
qed
global_interpretation EmptyFail_AI_call_kernel_det?: EmptyFail_AI_call_kernel_det
proof goal_cases
interpret Arch .
case 1 show ?case by (unfold_locales; (fact EmptyFail_AI_assms)?)
qed
global_interpretation EmptyFail_AI_call_kernel?: EmptyFail_AI_call_kernel
proof goal_cases
interpret Arch .
case 1 show ?case by (unfold_locales; (fact EmptyFail_AI_assms)?)
qed
end