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PROSA - Formally Proven Schedulability Analysis
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Lasse Blaauwbroek
PROSA - Formally Proven Schedulability Analysis
Commits
90f217ce
Commit
90f217ce
authored
9 years ago
by
Felipe Cerqueira
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BertognaResponseTimeDefs.v
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...
@@ -826,6 +826,16 @@ Module ResponseTimeAnalysis.
...
@@ -826,6 +826,16 @@ Module ResponseTimeAnalysis.
else
None
else
None
end
)
ts
.
end
)
ts
.
Definition
R_list'
:
option
(
seq
task_with_response_time
)
:=
foldr
(
fun
tsk
hp_pairs
=>
if
hp_pairs
is
Some
rt_bounds
then
let
R
:=
per_task_rta
tsk
rt_bounds
(
max_steps
tsk
)
in
if
R
<=
task_deadline
tsk
then
Some
(
rcons
rt_bounds
(
tsk
,
R
))
else
None
else
None
)
(
Some
[::])
ts
.
Definition
fp_schedulability_test
:=
R_list
!=
None
.
Definition
fp_schedulability_test
:=
R_list
!=
None
.
(*Section AuxiliaryLemmas.
(*Section AuxiliaryLemmas.
...
@@ -1100,6 +1110,7 @@ Module ResponseTimeAnalysis.
...
@@ -1100,6 +1110,7 @@ Module ResponseTimeAnalysis.
Hypothesis
H_test_passes
:
fp_schedulability_test
.
Hypothesis
H_test_passes
:
fp_schedulability_test
.
(*..., then no task misses its deadline. *)
(*..., then no task misses its deadline. *)
Theorem
taskset_schedulable_by_fp_rta
:
Theorem
taskset_schedulable_by_fp_rta
:
forall
tsk
,
tsk
\
in
ts
->
no_deadline_missed_by
tsk
.
forall
tsk
,
tsk
\
in
ts
->
no_deadline_missed_by
tsk
.
Proof
.
Proof
.
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