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PROSA - Formally Proven Schedulability Analysis
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Lasse Blaauwbroek
PROSA - Formally Proven Schedulability Analysis
Commits
0540f45a
Commit
0540f45a
authored
9 years ago
by
Felipe Cerqueira
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BertognaResponseTimeDefsEDF.v
+1
-10
1 addition, 10 deletions
BertognaResponseTimeDefsEDF.v
BertognaResponseTimeEDFComp.v
+245
-185
245 additions, 185 deletions
BertognaResponseTimeEDFComp.v
helper.v
+5
-19
5 additions, 19 deletions
helper.v
with
251 additions
and
214 deletions
BertognaResponseTimeDefsEDF.v
+
1
−
10
View file @
0540f45a
...
...
@@ -66,16 +66,7 @@ Module ResponseTimeAnalysisEDF.
Section
Proofs
.
(* The EDF-specific bound is is monotonically increasing
with the size of the interval. *)
Lemma
edf_specific_bound_monotonic
:
forall
tsk_other
R
R'
,
R
<=
R'
->
edf_specific_bound
(
tsk_other
,
R
)
<=
edf_specific_bound
(
tsk_other
,
R'
)
.
Proof
.
admit
.
Qed
.
(* Proof of edf-specific bound should go here *)
End
Proofs
.
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BertognaResponseTimeEDFComp.v
+
245
−
185
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0540f45a
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helper.v
+
5
−
19
View file @
0540f45a
...
...
@@ -386,27 +386,13 @@ Lemma fun_mon_iter_mon_generic :
forall
T
(
f
:
T
->
T
)
(
le
:
rel
T
)
(
REFL
:
reflexive
le
)
(
TRANS
:
transitive
le
)
x0
x1
x2
(
LE
:
x1
<=
x2
)
(
MIN
:
le
x0
(
f
x0
))
(
MON
:
forall
x1
x2
,
le
x1
x2
->
le
(
f
x1
)
(
f
x2
)),
x0
x1
x2
(
LE
:
x1
<=
x2
)
(
MIN
:
le
x0
(
f
x0
))
(*(LE: le x0 (iter x1 f x0))*)
(
MON
:
forall
x1
x2
,
le
x0
x1
->
le
x1
x2
->
le
(
f
x1
)
(
f
x2
)),
le
(
iter
x1
f
x0
)
(
iter
x2
f
x0
)
.
Proof
.
unfold
reflexive
,
transitive
in
*.
ins
;
revert
LE
;
revert
x2
;
rewrite
leq_as_delta
;
intros
delta
.
induction
x1
;
try
rewrite
add0n
.
{
induction
delta
;
first
by
apply
REFL
.
apply
TRANS
with
(
y
:=
iter
delta
f
x0
);
first
by
done
.
clear
IHdelta
.
induction
delta
;
first
by
done
.
{
rewrite
2
!
iterS
;
apply
MON
.
apply
IHdelta
.
}
}
{
rewrite
iterS
-
addn1
-
addnA
[
1
+
delta
]
addnC
addnA
addn1
iterS
.
by
apply
MON
,
IHx1
.
}
admit
.
Qed
.
(*Lemma fun_monotonic_iter_monotonic :
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