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PROSA - Formally Proven Schedulability Analysis
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RT-PROOFS
PROSA - Formally Proven Schedulability Analysis
Commits
f88c28db
Commit
f88c28db
authored
9 years ago
by
Felipe Cerqueira
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Clean up code
parent
0e4a8e16
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workload_bound.v
+4
-3
4 additions, 3 deletions
workload_bound.v
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and
3 deletions
workload_bound.v
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3
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f88c28db
...
...
@@ -203,7 +203,7 @@ Module WorkloadBound.
job_arrival
j
+
R_tsk
<
t1
+
delta
->
job_has_completed_by
j
(
job_arrival
j
+
R_tsk
)
.
Section
BertognaCirinei
.
Section
MainProof
.
(* In this section, we prove that the workload of a task in the
interval [t1, t1 + delta) is bounded by W. *)
...
...
@@ -703,7 +703,8 @@ Module WorkloadBound.
by
rewrite
H_at_least_two_jobs
.
have
INfst
:=
workload_bound_j_fst_is_job_of_tsk
SIZE
elem
;
have
INlst
:=
workload_bound_j_lst_is_job_of_tsk
;
des
.
by
apply
leq_add
;
apply
cumulative_service_le_task_cost
with
(
task_deadline0
:=
task_deadline
)
(
job_cost0
:=
job_cost
)
(
job_deadline0
:=
job_deadline
)
(
job_task0
:=
job_task
)
.
by
apply
leq_add
;
apply
cumulative_service_le_task_cost
with
(
task_deadline0
:=
task_deadline
)
(
job_cost0
:=
job_cost
)
(
job_deadline0
:=
job_deadline
)
(
job_task0
:=
job_task
)
.
}
{
rewrite
subnAC
subnK
;
last
first
.
...
...
@@ -788,7 +789,7 @@ Module WorkloadBound.
}
Qed
.
End
BertognaCirinei
.
End
MainProof
.
End
ProofWorkloadBound
.
...
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