87 lines
2.8 KiB
Plaintext
87 lines
2.8 KiB
Plaintext
(*
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* Copyright 2014, NICTA
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*
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* This software may be distributed and modified according to the terms of
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* the GNU General Public License version 2. Note that NO WARRANTY is provided.
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* See "LICENSE_GPLv2.txt" for details.
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*
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* @TAG(NICTA_GPL)
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*)
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theory SEL4GlobalsSwap
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imports "../../tools/asmrefine/GlobalsSwap"
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"../../tools/asmrefine/FieldAccessors"
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"../../spec/cspec/Substitute"
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begin
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lemma globals_update_id:
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"globals_update id = id"
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by (rule ext, simp)
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lemma globals_update_eq_iff:
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"(globals_update f s = globals_update g s)
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= (f (globals s) = g (globals s))"
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apply (rule iffI)
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apply (drule_tac f=globals in arg_cong)
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apply simp
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apply (rule state.fold_congs, simp+)
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done
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instance ptr :: (c_type)oneMB_packed ..
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instance tcb_queue_C :: oneMB_packed ..
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instance region_C :: oneMB_packed ..
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locale graph_refine_locale = kernel_all_substitute
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+ assumes globals_list_distinct:
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"globals_list_distinct domain symbol_table globals_list"
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assumes globals_list_ok:
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"\<forall>g \<in> set globals_list. global_data_ok symbol_table g"
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begin
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lemmas globals_list_def = kernel_all_global_addresses.global_data_list_def
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lemmas global_data_defs = kernel_all_global_addresses.global_data_defs
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lemma globals_list_valid:
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"globals_list_valid symbol_table t_hrs_' t_hrs_'_update globals_list"
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apply (rule globals_list_valid_optimisation[OF _ _ globals_list_ok])
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apply (simp_all add: globals_list_def globals_list_valid_def
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global_data_defs
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del: distinct_prop.simps split del: split_if)
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apply (simp add: global_data_swappable_def global_data_def)
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apply (simp_all add: global_data_valid)
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apply (simp_all add: global_data_valid_def addressed_global_data_def
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const_global_data_def global_data_ok_def global_data_def
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to_bytes_p_from_bytes)
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done
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lemma global_acc_valid:
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"global_acc_valid t_hrs_' t_hrs_'_update"
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by (simp add: global_acc_valid_def)
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abbreviation "gswap == globals_swap t_hrs_' t_hrs_'_update symbol_table globals_list"
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lemma globals_swap_twice:
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"globals_list_distinct D symbol_table globals_list
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\<Longrightarrow> gswap (gswap gs) = gs"
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by (intro globals_swap_twice_helper globals_list_valid global_acc_valid)
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lemma ghost'state_update_globals_swap:
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"gswap (ghost'state_'_update f gs) = ghost'state_'_update f (gswap gs)"
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apply (simp add: globals_swap_def)
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apply (rule foldr_update_commutes[symmetric])
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apply (auto simp: globals_list_def global_data_defs global_swap_def
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global_data_def const_global_data_def addressed_global_data_def)
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done
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(* FIXME: this has to be done and should be standardised *)
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lemma t_hrs_ghost'state_update_globals_swap[simp]:
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"t_hrs_' (gswap (ghost'state_'_update f gs)) = t_hrs_' (gswap gs)"
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by (simp add: ghost'state_update_globals_swap)
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end
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end
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