65 lines
2.3 KiB
Plaintext
65 lines
2.3 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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(*
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* Toplevel capDL refinement theorem.
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*)
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theory Refine_D
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imports Syscall_DR
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begin
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context begin interpretation Arch . (*FIXME: arch_split*)
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text \<open>
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Toplevel @{text dcorres} theorem.
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\<close>
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lemma valid_etcbs_sched: "valid_sched s \<longrightarrow> valid_etcbs s" by (fastforce simp: valid_sched_def)
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lemma handle_event_invs_and_valid_sched:
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"\<lbrace>invs and valid_sched and (\<lambda>s. e \<noteq> Interrupt \<longrightarrow> ct_active s)
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and (\<lambda>s. scheduler_action s = resume_cur_thread)\<rbrace> Syscall_A.handle_event e
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\<lbrace>\<lambda>rv. invs and valid_sched\<rbrace>"
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by ((wp he_invs handle_event_valid_sched), clarsimp)
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lemma dcorres_call_kernel:
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"dcorres dc \<top>
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(invs and valid_sched and valid_pdpt_objs
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and (\<lambda>s. e \<noteq> Interrupt \<longrightarrow> ct_running s)
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and (\<lambda>s. scheduler_action s = resume_cur_thread))
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(Syscall_D.call_kernel e) (Syscall_A.call_kernel e)"
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apply (simp_all add: Syscall_D.call_kernel_def Syscall_A.call_kernel_def)
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apply (rule corres_guard_imp)
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apply (rule corres_split)
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apply (rule corres_split_handle [OF handle_event_corres])
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prefer 4
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apply (subst bind_return[symmetric])
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apply (rule corres_split)
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apply simp
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apply (rule schedule_dcorres)
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apply (rule activate_thread_corres[unfolded fun_app_def])
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apply (wp schedule_valid_sched | strengthen valid_etcbs_sched)+
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apply (simp add: handle_pending_interrupts_def)
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apply (rule corres_split[OF get_active_irq_corres])
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apply (clarsimp simp: when_def split: option.splits)
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apply (rule handle_interrupt_corres[simplified dc_def])
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apply ((wp | simp)+)[3]
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apply (rule hoare_post_imp_dc2E, rule handle_event_invs_and_valid_sched)
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apply (clarsimp simp: invs_def valid_state_def)
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apply (simp add: conj_comms if_apply_def2 non_kernel_IRQs_def
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| wp | strengthen valid_etcbs_sched valid_idle_invs_strg)+
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apply (rule valid_validE2)
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apply (rule hoare_vcg_conj_lift)
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apply (rule he_invs)
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apply (rule handle_event_valid_sched)
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apply (fastforce intro: active_from_running simp: valid_sched_def)+
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done
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end
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end
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