Instead use discriminator and selector provided by the datatype package. Signed-off-by: Corey Lewis <corey.lewis@proofcraft.systems>
558 lines
25 KiB
Plaintext
558 lines
25 KiB
Plaintext
(*
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* Copyright 2020, Data61, CSIRO (ABN 41 687 119 230)
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*
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* SPDX-License-Identifier: GPL-2.0-only
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*)
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theory Tcb_AC
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imports ArchFinalise_AC
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begin
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(* FIXME-NTFN: The 'NotificationControl' case of the following definition needs to be changed. *)
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definition authorised_tcb_inv :: "'a PAS \<Rightarrow> tcb_invocation \<Rightarrow> bool" where
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"authorised_tcb_inv aag ti \<equiv> case ti of
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Suspend t \<Rightarrow> is_subject aag t
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| Resume t \<Rightarrow> is_subject aag t
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| ThreadControl t sl ep mcp priority croot vroot buf \<Rightarrow>
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is_subject aag t \<and>
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(\<forall>(cap, slot) \<in> set_option croot \<union> set_option vroot \<union>
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(case_option {} (set_option \<circ> snd) buf). pas_cap_cur_auth aag cap \<and>
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is_subject aag (fst slot))
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| NotificationControl t ntfn \<Rightarrow>
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is_subject aag t \<and>
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case_option True (\<lambda>a. \<forall>auth \<in> {Receive, Reset}. aag_has_auth_to aag auth a) ntfn
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| ReadRegisters src susp n arch \<Rightarrow> is_subject aag src
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| WriteRegisters dest res values arch \<Rightarrow> is_subject aag dest
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| CopyRegisters dest src susp res frame int_regs arch \<Rightarrow> is_subject aag src \<and> is_subject aag dest
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| SetTLSBase tcb tls_base \<Rightarrow> is_subject aag tcb"
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subsection\<open>invoke\<close>
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lemma setup_reply_master_respects:
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"\<lbrace>integrity aag X st and K (is_subject aag t)\<rbrace>
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setup_reply_master t
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\<lbrace>\<lambda>_. integrity aag X st\<rbrace>"
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apply (simp add: setup_reply_master_def)
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apply (wp get_cap_wp set_cap_integrity_autarch[unfolded K_def pred_conj_def]
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set_original_integrity_autarch)+
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apply simp
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done
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crunch eintegrity[wp]: possible_switch_to "integrity aag X st"
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(ignore: tcb_sched_action)
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lemma restart_integrity_autarch:
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"\<lbrace>integrity aag X st and K (is_subject aag t) and einvs and tcb_at t and pas_refined aag\<rbrace>
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restart t
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\<lbrace>\<lambda>_. integrity aag X st\<rbrace>"
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apply (simp add: restart_def)
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apply (wp set_thread_state_integrity_autarch setup_reply_master_respects
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hoare_drop_imps
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| simp add: if_apply_def2)+
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done
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crunch integrity_autarch: option_update_thread "integrity aag X st"
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crunch arch_state [wp]: cap_swap_for_delete "\<lambda>s. P (arch_state s)"
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lemmas itr_wps =
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restart_integrity_autarch as_user_integrity_autarch thread_set_integrity_autarch
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option_update_thread_integrity_autarch thread_set_pas_refined
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cap_insert_integrity_autarch cap_insert_pas_refined
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hoare_vcg_all_liftE wp_throw_const_impE hoare_weak_lift_imp hoare_vcg_all_lift
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check_cap_inv[where P="valid_cap c" for c]
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check_cap_inv[where P="tcb_cap_valid c p" for c p]
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check_cap_inv[where P="cte_at p0" for p0]
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check_cap_inv[where P="tcb_at p0" for p0]
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check_cap_inv[where P="ex_cte_cap_wp_to P p" for P p]
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check_cap_inv[where P="ex_nonz_cap_to p" for p]
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check_cap_inv2[where Q="\<lambda>_. integrity aag X st" for aag X st]
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check_cap_inv2[where Q="\<lambda>_. pas_refined aag" for aag]
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checked_insert_no_cap_to cap_insert_ex_cap
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cap_delete_valid_cap cap_delete_deletes
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hoare_case_option_wp thread_set_valid_cap
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thread_set_tcb_ipc_buffer_cap_cleared_invs
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thread_set_invs_trivial[OF ball_tcb_cap_casesI]
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thread_set_cte_wp_at_trivial[where Q="\<lambda>x. x", OF ball_tcb_cap_casesI]
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thread_set_no_cap_to_trivial[OF ball_tcb_cap_casesI]
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(*FIXME MOVE *)
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lemma aag_cap_auth_master_Reply:
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"\<lbrakk> pas_refined aag s ; AllowGrant \<in> R \<rbrakk>
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\<Longrightarrow> pas_cap_cur_auth aag (ReplyCap tcb True R) = is_subject aag tcb"
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unfolding aag_cap_auth_def
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by (fastforce intro: aag_wellformed_refl aag_wellformed_control_is_owns[THEN iffD1]
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simp: pas_refined_def cli_no_irqs clas_no_asid cap_auth_conferred_def
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reply_cap_rights_to_auth_def)
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(* FIXME MOVE *)
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lemma cdt_NullCap:
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"\<lbrakk> valid_mdb s; caps_of_state s src = Some NullCap \<rbrakk>
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\<Longrightarrow> cdt s src = None"
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by (rule ccontr) (force dest: mdb_cte_atD simp: valid_mdb_def2)
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lemma setup_reply_master_pas_refined:
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"\<lbrace>pas_refined aag and pspace_aligned and valid_vspace_objs and valid_arch_state
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and valid_mdb and K (is_subject aag t)\<rbrace>
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setup_reply_master t
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\<lbrace>\<lambda>_. pas_refined aag\<rbrace>"
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apply (simp add: setup_reply_master_def)
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apply (wp get_cap_wp set_cap_pas_refined set_original_wp)+
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by (force dest: cdt_NullCap simp: aag_cap_auth_master_Reply cte_wp_at_caps_of_state)
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crunches possible_switch_to
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for tcb_domain_map_wellformed[wp]: "tcb_domain_map_wellformed aag"
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crunches setup_reply_master
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for pspace_aligned[wp]: pspace_aligned
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lemma restart_pas_refined:
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"\<lbrace>pas_refined aag and invs and tcb_at t and K (is_subject aag t)\<rbrace>
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restart t
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\<lbrace>\<lambda>_. pas_refined aag\<rbrace>"
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apply (simp add: restart_def get_thread_state_def)
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apply (wp set_thread_state_pas_refined setup_reply_master_pas_refined thread_get_wp'
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| strengthen invs_mdb
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| fastforce)+
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done
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lemma option_update_thread_set_safe_lift:
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"\<lbrakk> \<And>v. \<lbrace>P\<rbrace> thread_set (f v) t \<lbrace>\<lambda>rv. P\<rbrace> \<rbrakk>
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\<Longrightarrow> \<lbrace>P\<rbrace> option_update_thread t f v \<lbrace>\<lambda>rv. P\<rbrace>"
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by (simp add: option_update_thread_def split: option.split)
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crunch integrity_autarch[wp]: thread_set_priority "integrity aag X st"
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(ignore: tcb_sched_action)
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lemma set_priority_integrity_autarch[wp]:
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"\<lbrace>integrity aag X st and pas_refined aag and K (is_subject aag tptr)\<rbrace>
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set_priority tptr prio
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\<lbrace>\<lambda>_. integrity aag X st\<rbrace>"
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by (simp add: set_priority_def | wp)+
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lemma set_priority_pas_refined[wp]:
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"\<lbrace>pas_refined aag\<rbrace>
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set_priority tptr prio
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\<lbrace>\<lambda>_. pas_refined aag\<rbrace>"
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apply (simp add: set_priority_def thread_set_priority_def
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ethread_set_def set_eobject_def get_etcb_def
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| wp hoare_vcg_imp_lift')+
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apply (simp add: tcb_sched_action_def | wp)+
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apply (clarsimp simp: etcb_at_def pas_refined_def tcb_domain_map_wellformed_aux_def
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split: option.splits)
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apply (erule_tac x="(a, b)" in ballE)
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apply simp
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apply (erule domains_of_state_aux.cases)
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apply (force intro: domtcbs split: if_split_asm)
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done
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lemma gts_test[wp]:
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"\<lbrace>\<top>\<rbrace> get_thread_state t \<lbrace>\<lambda>rv s. test rv = st_tcb_at test t s\<rbrace>"
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apply (simp add: get_thread_state_def thread_get_def)
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apply wp
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apply (clarsimp simp add: st_tcb_def2)
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done
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crunch exst[wp]: option_update_thread "\<lambda>s. P (exst s)"
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crunch pas_refined[wp]: set_mcpriority "pas_refined aag"
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crunch integrity_autarch: set_mcpriority "integrity aag X st"
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lemma (in is_extended') valid_cap_syn[wp]: "I (\<lambda>s. valid_cap_syn s a)"
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by (rule lift_inv, simp)
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lemma (in is_extended') no_cap_to_obj_dr_emp[wp]: "I (no_cap_to_obj_dr_emp a)"
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by (rule lift_inv, simp)
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lemma (in is_extended') cte_wp_at[wp]: "I (cte_wp_at P a)"
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by (rule lift_inv, simp)
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lemma checked_insert_pas_refined:
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"\<lbrace>pas_refined aag and pspace_aligned and valid_vspace_objs and valid_arch_state and valid_mdb and
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K (\<not> is_master_reply_cap new_cap \<and> is_subject aag target \<and>
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is_subject aag (fst src_slot) \<and> pas_cap_cur_auth aag new_cap)\<rbrace>
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check_cap_at new_cap src_slot
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(check_cap_at (ThreadCap target) slot
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(cap_insert new_cap src_slot (target, ref)))
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\<lbrace>\<lambda>_. pas_refined aag\<rbrace>"
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apply (unfold check_cap_at_def)
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apply (wp cap_insert_pas_refined_same_object_as get_cap_wp)
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by (fastforce simp: cte_wp_at_caps_of_state)
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(* FIXME MOVE *)
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lemma update_cdt_wp:
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"\<lbrace>\<lambda>s. P (s\<lparr>cdt := m (cdt s)\<rparr>)\<rbrace> update_cdt m \<lbrace>\<lambda>_. P\<rbrace>"
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by (simp add: update_cdt_def set_cdt_def) wp
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(* FIXME MOVE *)
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lemma parent_ofD: "m \<Turnstile> src \<leadsto> x \<Longrightarrow> m x = Some src"
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by (simp add: cdt_parent_of_def)
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crunch tcb_states_of_state[wp]: set_untyped_cap_as_full "\<lambda>s. P (tcb_states_of_state s)"
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(* FIXME MOVE *)
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lemma map_le_to_rtrancl:
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"m \<subseteq>\<^sub>m m' \<Longrightarrow> m \<Turnstile> pptr \<rightarrow>* ptr \<Longrightarrow> m' \<Turnstile> pptr \<rightarrow>* ptr"
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apply (erule subsetD[rotated])
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apply (rule rtrancl_mono)
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apply (fastforce simp:cdt_parent_of_def map_le_def dom_def)
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done
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lemma map_le_to_cca:
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"m \<subseteq>\<^sub>m m' \<Longrightarrow> cdt_change_allowed aag subjects m tcbsts ptr
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\<Longrightarrow> cdt_change_allowed aag subjects m' tcbsts ptr"
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apply (elim cdt_change_allowedE cdt_change_allowedI[rotated])
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by (rule map_le_to_rtrancl)
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lemma cap_insert_cdt_change_allowed[wp]:
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"\<lbrace>valid_mdb and cdt_change_allowed' aag slot\<rbrace>
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cap_insert new_cap src_slot dest_slot
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\<lbrace>\<lambda>_. cdt_change_allowed' aag slot\<rbrace>"
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apply (rule hoare_pre, unfold cap_insert_def)
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apply (wp add: dxo_wp_weak update_cdt_wp | simp)+
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apply (rule hoare_post_imp[of
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"\<lambda>_. cdt_change_allowed' aag slot and (\<lambda>s. cdt s dest_slot = None)"])
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apply (fastforce elim: map_le_to_cca[rotated] simp:map_le_def dom_def)
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apply (wps | wp get_cap_wp)+
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apply (clarsimp)
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apply (drule valid_mdb_mdb_cte_at)
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apply (subst not_Some_eq[symmetric])
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apply (intro allI notI)
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apply (drule(1) mdb_cte_atD[rotated])
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apply (simp add:cte_wp_at_caps_of_state)
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done
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lemma invoke_tcb_unbind_notification_respects:
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"\<lbrace>integrity aag X st and pas_refined aag and simple_sched_action and einvs
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and tcb_inv_wf (NotificationControl t None)
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and K (authorised_tcb_inv aag (NotificationControl t None))\<rbrace>
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invoke_tcb (tcb_invocation.NotificationControl t None)
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\<lbrace>\<lambda>_. integrity aag X st\<rbrace>"
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apply (clarsimp)
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apply (wp unbind_notification_respects)
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apply (clarsimp simp: authorised_tcb_inv_def tcb_at_def pred_tcb_def2)
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apply (clarsimp split: option.split)
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apply (frule(1) bound_tcb_at_implies_reset[unfolded pred_tcb_def2, OF _ exI, OF _ conjI])
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apply simp
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apply simp
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done
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lemma sbn_bind_respects:
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"\<lbrace>integrity aag X st and bound_tcb_at ((=) None) t and
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K (aag_has_auth_to aag Receive ntfn \<and> is_subject aag t)\<rbrace>
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set_bound_notification t (Some ntfn)
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\<lbrace>\<lambda>_. integrity aag X st \<rbrace>"
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apply (simp add: set_bound_notification_def)
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apply (wpsimp wp: set_object_wp)
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apply (erule integrity_trans)
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apply (clarsimp simp: integrity_def obj_at_def pred_tcb_at_def integrity_asids_kh_upds)
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done
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lemma bind_notification_respects:
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"\<lbrace>integrity aag X st and pas_refined aag and bound_tcb_at ((=) None) t
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and K (aag_has_auth_to aag Receive ntfn \<and> is_subject aag t)\<rbrace>
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bind_notification t ntfn
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\<lbrace>\<lambda>_. integrity aag X st\<rbrace>"
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apply (rule hoare_gen_asm)
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apply (clarsimp simp: bind_notification_def)
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apply (rule hoare_seq_ext[OF _ get_simple_ko_sp])
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apply (wp set_ntfn_respects hoare_vcg_imp_lift sbn_bind_respects | wpc | clarsimp)+
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apply fastforce
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done
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lemma invoke_tcb_bind_notification_respects:
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"\<lbrace>integrity aag X st and pas_refined aag and einvs and simple_sched_action
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and tcb_inv_wf (NotificationControl t (Some ntfn))
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and K (authorised_tcb_inv aag (NotificationControl t (Some ntfn)))\<rbrace>
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invoke_tcb (NotificationControl t (Some ntfn))
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\<lbrace>\<lambda>_. integrity aag X st\<rbrace>"
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apply (rule hoare_gen_asm)
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apply (clarsimp)
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apply (wp bind_notification_respects)
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apply (clarsimp simp: authorised_tcb_inv_def)
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done
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lemma invoke_tcb_ntfn_control_respects[wp]:
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"\<lbrace>integrity aag X st and pas_refined aag and einvs and simple_sched_action
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and tcb_inv_wf (NotificationControl t ntfn)
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and K (authorised_tcb_inv aag (NotificationControl t ntfn))\<rbrace>
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invoke_tcb (NotificationControl t ntfn)
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\<lbrace>\<lambda>_. integrity aag X st\<rbrace>"
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apply (case_tac ntfn, simp_all del: invoke_tcb.simps Tcb_AI.tcb_inv_wf.simps K_def)
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apply (wp invoke_tcb_bind_notification_respects invoke_tcb_unbind_notification_respects | simp)+
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done
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locale Tcb_AC_1 =
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fixes aag :: "'a PAS"
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assumes arch_post_modify_registers_invs[wp]:
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"arch_post_modify_registers cur t \<lbrace>pas_refined aag\<rbrace>"
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and arch_post_modify_registers_respects:
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"\<lbrace>integrity aag X st and K (is_subject aag t)\<rbrace>
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arch_post_modify_registers cur t
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\<lbrace>\<lambda>_ s. integrity aag X st s\<rbrace>"
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and arch_get_sanitise_register_info_inv[wp]:
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"arch_get_sanitise_register_info t \<lbrace>\<lambda>s :: det_ext state. P s\<rbrace>"
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and invoke_tcb_tc_respects_aag:
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"\<lbrace>integrity aag X st and pas_refined aag and einvs and simple_sched_action
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and tcb_inv_wf (ThreadControl t sl ep mcp priority croot vroot buf)
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and K (authorised_tcb_inv aag (ThreadControl t sl ep mcp priority croot vroot buf))\<rbrace>
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invoke_tcb (ThreadControl t sl ep mcp priority croot vroot buf)
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\<lbrace>\<lambda>rv. integrity aag X st and pas_refined aag\<rbrace>"
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begin
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lemma invoke_tcb_respects:
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"\<lbrace>integrity aag X st and pas_refined aag and einvs and simple_sched_action
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and tcb_inv_wf ti and K (authorised_tcb_inv aag ti)\<rbrace>
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invoke_tcb ti
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\<lbrace>\<lambda>_. integrity aag X st\<rbrace>"
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apply (cases ti, simp_all add: hoare_conjD1 [OF invoke_tcb_tc_respects_aag [simplified simp_thms]]
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del: invoke_tcb.simps Tcb_AI.tcb_inv_wf.simps K_def)
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apply (safe intro!: hoare_gen_asm)
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by ((wp itr_wps mapM_x_wp' arch_post_modify_registers_respects
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| wpc | clarsimp simp: authorised_tcb_inv_def if_apply_def2
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| rule conjI | subst (asm) idle_no_ex_cap)+)
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end
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subsubsection\<open>@{term "pas_refined"}\<close>
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lemmas ita_wps = as_user_pas_refined restart_pas_refined cap_insert_pas_refined
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thread_set_pas_refined cap_delete_pas_refined' check_cap_inv2 hoare_vcg_all_liftE
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wp_throw_const_impE hoare_weak_lift_imp hoare_vcg_all_lift
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lemma hoare_st_refl:
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"\<lbrakk> \<And>st. \<lbrace>P st\<rbrace> f \<lbrace>Q st\<rbrace>; \<And>r s st. Q st r s \<Longrightarrow> Q' r s \<rbrakk> \<Longrightarrow> \<lbrace>\<lambda>s. P s s\<rbrace> f \<lbrace>Q'\<rbrace>"
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apply (clarsimp simp add: valid_def)
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apply (drule_tac x=s in meta_spec)
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apply force
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done
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lemma bind_notification_pas_refined[wp]:
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"\<lbrace>pas_refined aag and pspace_aligned and valid_vspace_objs and valid_arch_state and
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K (\<forall>auth \<in> {Receive, Reset}. abs_has_auth_to aag auth t ntfn)\<rbrace>
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bind_notification t ntfn
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\<lbrace>\<lambda>_. pas_refined aag\<rbrace>"
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apply (clarsimp simp: bind_notification_def)
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apply (wp set_simple_ko_pas_refined | wpc | simp)+
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done
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lemma invoke_tcb_ntfn_control_pas_refined[wp]:
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"\<lbrace>pas_refined aag and tcb_inv_wf (NotificationControl t ntfn) and einvs and simple_sched_action
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and K (authorised_tcb_inv aag (NotificationControl t ntfn))\<rbrace>
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invoke_tcb (NotificationControl t ntfn)
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\<lbrace>\<lambda>_. pas_refined aag\<rbrace>"
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apply (case_tac ntfn, simp_all del: K_def)
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apply (safe intro!: hoare_gen_asm)
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apply (wp | fastforce simp: authorised_tcb_inv_def)+
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done
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crunches suspend, restart
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for pspace_aligned[wp]: "\<lambda>s :: det_ext state. pspace_aligned s"
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and valid_vspace_objs[wp]: "\<lambda>s :: det_ext state. valid_vspace_objs s"
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and valid_arch_state[wp]: "\<lambda>s :: det_ext state. valid_arch_state s"
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(wp: dxo_wp_weak)
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context Tcb_AC_1 begin
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lemma invoke_tcb_pas_refined:
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"\<lbrace>pas_refined aag and tcb_inv_wf ti and einvs and simple_sched_action
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and K (authorised_tcb_inv aag ti)\<rbrace>
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invoke_tcb ti
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\<lbrace>\<lambda>_. pas_refined aag\<rbrace>"
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apply (cases "\<exists>t sl ep mcp priority croot vroot buf.
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ti = tcb_invocation.ThreadControl t sl ep mcp priority croot vroot buf")
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apply safe
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apply (rule hoare_chain, rule_tac Q'="\<lambda>_. pas_refined aag" and st1="\<lambda>x. x" in
|
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hoare_st_refl[OF invoke_tcb_tc_respects_aag])
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apply force
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apply fastforce
|
|
apply assumption
|
|
apply (rule hoare_gen_asm)
|
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apply (cases ti, simp_all add: authorised_tcb_inv_def)
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|
apply (wp ita_wps hoare_drop_imps
|
|
hoare_strengthen_post[where Q="\<lambda>_. pas_refined aag and pspace_aligned
|
|
and valid_vspace_objs
|
|
and valid_arch_state",
|
|
OF mapM_x_wp']
|
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| simp add: emptyable_def if_apply_def2 authorised_tcb_inv_def
|
|
| rule ball_tcb_cap_casesI
|
|
| wpc
|
|
| fastforce intro: notE[rotated,OF idle_no_ex_cap,simplified]
|
|
simp: invs_valid_global_refs invs_valid_objs)+
|
|
done
|
|
|
|
end
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|
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subsection\<open>TCB / decode\<close>
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lemma decode_registers_authorised:
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"\<lbrace>K (is_subject aag t)\<rbrace> decode_read_registers msg (ThreadCap t) \<lbrace>\<lambda>rv s. authorised_tcb_inv aag rv\<rbrace>, -"
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"\<lbrace>K (is_subject aag t)\<rbrace> decode_write_registers msg (ThreadCap t) \<lbrace>\<lambda>rv s. authorised_tcb_inv aag rv\<rbrace>, -"
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|
"\<lbrace>pas_refined aag and K (is_subject aag t \<and> (\<forall>(cap, slot) \<in> set excaps. pas_cap_cur_auth aag cap
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|
\<and> is_subject aag (fst slot)))\<rbrace>
|
|
decode_copy_registers msg (ThreadCap t) (map fst excaps)
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|
\<lbrace>\<lambda>rv _. authorised_tcb_inv aag rv\<rbrace>, -"
|
|
unfolding decode_read_registers_def decode_write_registers_def
|
|
decode_copy_registers_def authorised_tcb_inv_def
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|
apply (simp_all cong: list.case_cong)
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|
apply wpsimp+
|
|
apply (clarsimp simp: cap_auth_conferred_def pas_refined_all_auth_is_owns aag_cap_auth_def)
|
|
done
|
|
|
|
lemma decode_set_ipc_buffer_authorised:
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|
"\<lbrace>K (is_subject aag t \<and> (\<forall>x \<in> set excaps. is_subject aag (fst (snd x)))
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|
\<and> (\<forall>x \<in> set excaps. pas_cap_cur_auth aag (fst x)))\<rbrace>
|
|
decode_set_ipc_buffer msg (ThreadCap t) slot excaps
|
|
\<lbrace>\<lambda>rv _ :: det_ext state. authorised_tcb_inv aag rv\<rbrace>, -"
|
|
unfolding decode_set_ipc_buffer_def authorised_tcb_inv_def
|
|
apply (cases "excaps ! 0")
|
|
apply (clarsimp cong: list.case_cong split del: if_split)
|
|
apply (rule hoare_pre)
|
|
apply (clarsimp simp: ball_Un aag_cap_auth_def split del: if_split split: prod.split
|
|
| wp (once) derive_cap_obj_refs_auth derive_cap_untyped_range_subset derive_cap_clas
|
|
derive_cap_cli hoare_vcg_all_lift_R whenE_throwError_wp slot_long_running_inv
|
|
| wpc)+
|
|
apply (cases excaps, simp)
|
|
apply fastforce
|
|
done
|
|
|
|
lemma decode_set_space_authorised:
|
|
"\<lbrace>K (is_subject aag t \<and> (\<forall>x \<in> set excaps. is_subject aag (fst (snd x)))
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|
\<and> (\<forall>x \<in> set excaps. pas_cap_cur_auth aag (fst x)))\<rbrace>
|
|
decode_set_space ws (ThreadCap t) slot excaps
|
|
\<lbrace>\<lambda>rv _ :: det_ext state. authorised_tcb_inv aag rv\<rbrace>, -"
|
|
unfolding decode_set_space_def authorised_tcb_inv_def
|
|
apply (rule hoare_pre)
|
|
apply (simp cong: list.case_cong split del: if_split)
|
|
apply (clarsimp simp: ball_Un split del: if_split
|
|
| wp (once) derive_cap_obj_refs_auth derive_cap_untyped_range_subset derive_cap_clas
|
|
derive_cap_cli hoare_vcg_const_imp_lift_R hoare_vcg_all_lift_R
|
|
whenE_throwError_wp slot_long_running_inv)+
|
|
apply (clarsimp simp: not_less all_set_conv_all_nth dest!: P_0_1_spec)
|
|
apply (auto simp: aag_cap_auth_def update_cap_cli
|
|
intro: update_cap_obj_refs_subset
|
|
dest!: update_cap_cap_auth_conferred_subset)
|
|
done
|
|
|
|
(* grot: this is from the bowels of decode_tcb_configure_authorised. *)
|
|
lemma decode_tcb_configure_authorised_helper:
|
|
"\<lbrace>K True and K (is_subject aag t \<and> (\<forall>x \<in> set excaps. is_subject aag (fst (snd x)))
|
|
\<and> (\<forall>x \<in> set excaps. pas_cap_cur_auth aag (fst x))
|
|
\<and> authorised_tcb_inv aag set_param
|
|
\<and> is_ThreadControl set_param)\<rbrace>
|
|
decode_set_space ws (ThreadCap t) slot excaps
|
|
\<lbrace>\<lambda>rv _ :: det_ext state. authorised_tcb_inv aag (ThreadControl t slot (tc_new_fault_ep rv)
|
|
None None (tc_new_croot rv)
|
|
(tc_new_vroot rv)
|
|
(tc_new_buffer set_param))\<rbrace>, -"
|
|
apply (rule hoare_gen_asmE)
|
|
apply (cases set_param)
|
|
apply (simp_all add: decode_set_space_def authorised_tcb_inv_def
|
|
cong: list.case_cong option.case_cong prod.case_cong
|
|
split: prod.split_asm split del: if_split)
|
|
apply (cases "excaps!0")
|
|
apply (cases "excaps!Suc 0")
|
|
apply (rule hoare_pre)
|
|
apply (clarsimp simp: ball_Un split del: if_split split: prod.split
|
|
| wp (once) derive_cap_obj_refs_auth derive_cap_untyped_range_subset derive_cap_clas derive_cap_cli
|
|
hoare_vcg_all_lift_R whenE_throwError_wp slot_long_running_inv)+
|
|
apply (clarsimp cong: list.case_cong option.case_cong prod.case_cong split: prod.split_asm)
|
|
apply (clarsimp simp: not_less all_set_conv_all_nth dest!: P_0_1_spec)
|
|
apply (auto simp: aag_cap_auth_def update_cap_cli
|
|
intro: update_cap_obj_refs_subset
|
|
dest!: update_cap_cap_auth_conferred_subset)
|
|
done
|
|
|
|
lemma decode_tcb_configure_authorised:
|
|
"\<lbrace>K (is_subject aag t \<and> (\<forall>x \<in> set excaps. is_subject aag (fst (snd x)))
|
|
\<and> (\<forall>x \<in> set excaps. pas_cap_cur_auth aag (fst x)))\<rbrace>
|
|
decode_tcb_configure msg (ThreadCap t) slot excaps
|
|
\<lbrace>\<lambda>rv _ :: det_ext state. authorised_tcb_inv aag rv\<rbrace>, -"
|
|
apply (wpsimp simp: decode_tcb_configure_def
|
|
wp: whenE_throwError_wp decode_tcb_configure_authorised_helper
|
|
decode_set_ipc_buffer_authorised)
|
|
apply (auto dest: in_set_takeD)
|
|
done
|
|
|
|
lemma decode_set_priority_authorised:
|
|
"\<lbrace>K (is_subject aag t)\<rbrace>
|
|
decode_set_priority msg (ThreadCap t) slot excs
|
|
\<lbrace>\<lambda>rv _. authorised_tcb_inv aag rv\<rbrace>, -"
|
|
by (wpsimp simp: decode_set_priority_def check_prio_def authorised_tcb_inv_def)
|
|
|
|
lemma decode_set_mcpriority_authorised:
|
|
"\<lbrace>K (is_subject aag t)\<rbrace>
|
|
decode_set_mcpriority msg (ThreadCap t) slot excs
|
|
\<lbrace>\<lambda>rv _. authorised_tcb_inv aag rv\<rbrace>, -"
|
|
by (wpsimp simp: decode_set_mcpriority_def check_prio_def authorised_tcb_inv_def)
|
|
|
|
lemma decode_set_sched_params_authorised:
|
|
"\<lbrace>K (is_subject aag t)\<rbrace>
|
|
decode_set_sched_params msg (ThreadCap t) slot excs
|
|
\<lbrace>\<lambda>rv _. authorised_tcb_inv aag rv\<rbrace>, -"
|
|
by (wpsimp simp: decode_set_sched_params_def check_prio_def authorised_tcb_inv_def)
|
|
|
|
lemma decode_unbind_notification_authorised:
|
|
"\<lbrace>K (is_subject aag t)\<rbrace>
|
|
decode_unbind_notification (ThreadCap t)
|
|
\<lbrace>\<lambda>rv _. authorised_tcb_inv aag rv\<rbrace>, -"
|
|
unfolding decode_unbind_notification_def authorised_tcb_inv_def
|
|
apply clarsimp
|
|
apply (wp gbn_wp, clarsimp)
|
|
done
|
|
|
|
lemma decode_bind_notification_authorised:
|
|
"\<lbrace>K (is_subject aag t \<and> (\<forall>x \<in> set excaps. is_subject aag (fst (snd x)))
|
|
\<and> (\<forall>x \<in> set excaps. pas_cap_cur_auth aag (fst x)) )\<rbrace>
|
|
decode_bind_notification (ThreadCap t) excaps
|
|
\<lbrace>\<lambda>rv _. authorised_tcb_inv aag rv\<rbrace>, -"
|
|
unfolding decode_bind_notification_def authorised_tcb_inv_def
|
|
apply clarsimp
|
|
apply (wp gbn_wp get_simple_ko_wp whenE_throwError_wp | wpc | simp add:)+
|
|
apply (clarsimp dest!: hd_in_set)
|
|
apply (drule_tac x="hd excaps" in bspec, simp)+
|
|
apply (auto simp: aag_cap_auth_def cap_auth_conferred_def cap_rights_to_auth_def AllowRecv_def)
|
|
done
|
|
|
|
lemma decode_set_tls_base_authorised:
|
|
"\<lbrace>K (is_subject aag t)\<rbrace>
|
|
decode_set_tls_base msg (ThreadCap t)
|
|
\<lbrace>\<lambda>rv _. authorised_tcb_inv aag rv\<rbrace>, -"
|
|
unfolding decode_set_tls_base_def authorised_tcb_inv_def
|
|
apply clarsimp
|
|
apply (wpsimp wp: gbn_wp)
|
|
done
|
|
|
|
lemma decode_tcb_invocation_authorised:
|
|
"\<lbrace>invs and pas_refined aag
|
|
and K (is_subject aag t \<and> (\<forall>x \<in> set excaps. is_subject aag (fst (snd x)))
|
|
\<and> (\<forall>x \<in> set excaps. pas_cap_cur_auth aag (fst x)))\<rbrace>
|
|
decode_tcb_invocation label msg (ThreadCap t) slot excaps
|
|
\<lbrace>\<lambda>rv _. authorised_tcb_inv aag rv\<rbrace>, -"
|
|
unfolding decode_tcb_invocation_def
|
|
apply (rule hoare_pre)
|
|
apply wpc
|
|
apply (wp decode_registers_authorised decode_tcb_configure_authorised
|
|
decode_set_priority_authorised decode_set_mcpriority_authorised
|
|
decode_set_sched_params_authorised
|
|
decode_set_ipc_buffer_authorised decode_set_space_authorised
|
|
decode_bind_notification_authorised
|
|
decode_unbind_notification_authorised
|
|
decode_set_tls_base_authorised)+
|
|
by (auto iff: authorised_tcb_inv_def)
|
|
|
|
text\<open>
|
|
|
|
@{term "decode_tcb_invocation"} preserves all invariants, so no need
|
|
to show @{term "integrity"} or @{term "pas_refined"}.
|
|
|
|
\<close>
|
|
|
|
end
|