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PROSA - Formally Proven Schedulability Analysis
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RT-PROOFS
PROSA - Formally Proven Schedulability Analysis
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ce7fc8de
Commit
ce7fc8de
authored
1 year ago
by
Sergey Bozhko
Committed by
Björn Brandenburg
1 year ago
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relate [scheduled_jobs_at] with [scheduled_at] on uniprocessors
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9eb24f08
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!317
Remove ideal assumption from aRTA-seq and generalize proof [task_IBF -> job_IBF]
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analysis/facts/model/scheduled.v
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View file @
ce7fc8de
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@@ -154,6 +154,17 @@ Section ScheduledJobs.
by
have
[
/
eqP
->
//|
[
j'
/
eqP
->
//=
]]
:=
scheduled_jobs_at_uni_cases
t
.
Qed
.
(** Similarly to [scheduled_job_at_scheduled_at], we relate
[scheduled_jobs_at] to [scheduled_at]. *)
Corollary
scheduled_jobs_at_scheduled_at
:
forall
j
t
,
(
scheduled_jobs_at
arr_seq
sched
t
==
[::
j
])
=
scheduled_at
sched
j
t
.
Proof
.
move
=>
j
t
.
by
rewrite
scheduled_jobs_at_uni
scheduled_job_at_scheduled_at
.
Qed
.
(** Then [scheduled_job_at t] is correct: it yields some job [j] if and only
if [j] is scheduled at time [t]. *)
Corollary
scheduled_job_at_iff
:
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