lh-l4v/proof/infoflow/RISCV64/ArchInfoFlow.thy

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(*
* Copyright 2020, Data61, CSIRO (ABN 41 687 119 230)
*
* SPDX-License-Identifier: GPL-2.0-only
*)
theory ArchInfoFlow
imports
"Access.ArchSyscall_AC"
"Lib.EquivValid"
begin
context Arch begin global_naming RISCV64
section \<open>Arch-specific equivalence properties\<close>
subsection \<open>ASID equivalence\<close>
definition equiv_asid :: "asid \<Rightarrow> det_ext state \<Rightarrow> det_ext state \<Rightarrow> bool" where
"equiv_asid asid s s' \<equiv>
((riscv_asid_table (arch_state s) (asid_high_bits_of asid)) =
(riscv_asid_table (arch_state s') (asid_high_bits_of asid))) \<and>
(\<forall>pool_ptr. riscv_asid_table (arch_state s) (asid_high_bits_of asid) = Some pool_ptr
\<longrightarrow> asid_pool_at pool_ptr s = asid_pool_at pool_ptr s' \<and>
(\<forall>asid_pool asid_pool'. asid_pools_of s pool_ptr = Some asid_pool \<and>
asid_pools_of s' pool_ptr = Some asid_pool'
\<longrightarrow> asid_pool (asid_low_bits_of asid) =
asid_pool' (asid_low_bits_of asid)))"
definition equiv_asid' where
"equiv_asid' asid pool_ptr_opt pool_ptr_opt' kh kh' \<equiv>
(case pool_ptr_opt of None \<Rightarrow> pool_ptr_opt' = None
| Some pool_ptr \<Rightarrow>
(case pool_ptr_opt' of None \<Rightarrow> False
| Some pool_ptr' \<Rightarrow>
(pool_ptr' = pool_ptr \<and>
((\<exists>asid_pool. kh pool_ptr = Some (ArchObj (ASIDPool asid_pool))) =
(\<exists>asid_pool'. kh' pool_ptr' = Some (ArchObj (ASIDPool asid_pool')))) \<and>
(\<forall>asid_pool asid_pool'. kh pool_ptr = Some (ArchObj (ASIDPool asid_pool)) \<and>
kh' pool_ptr' = Some (ArchObj (ASIDPool asid_pool'))
\<longrightarrow> asid_pool (asid_low_bits_of asid) =
asid_pool' (asid_low_bits_of asid)))))"
definition non_asid_pool_kheap_update where
"non_asid_pool_kheap_update s kh \<equiv>
\<forall>x. (\<exists>asid_pool. kheap s x = Some (ArchObj (ASIDPool asid_pool)) \<or>
kh x = Some (ArchObj (ASIDPool asid_pool)))
\<longrightarrow> kheap s x = kh x"
subsection \<open>Exclusive machine state equivalence\<close>
subsection \<open>Global (Kernel) VSpace equivalence\<close>
(* globals_equiv should be maintained by everything except the scheduler, since
nothing else touches the globals frame *)
definition arch_globals_equiv :: "obj_ref \<Rightarrow> obj_ref \<Rightarrow> kheap \<Rightarrow> kheap \<Rightarrow> arch_state \<Rightarrow>
arch_state \<Rightarrow> machine_state \<Rightarrow> machine_state \<Rightarrow> bool" where
"arch_globals_equiv ct it kh kh' as as' ms ms' \<equiv>
riscv_global_pt as = riscv_global_pt as' \<and>
kh (riscv_global_pt as) = kh' (riscv_global_pt as)"
declare arch_globals_equiv_def[simp]
end
requalify_consts
RISCV64.equiv_asid
RISCV64.equiv_asid'
RISCV64.arch_globals_equiv
RISCV64.non_asid_pool_kheap_update
end