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PROSA - Formally Proven Schedulability Analysis
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Lasse Blaauwbroek
PROSA - Formally Proven Schedulability Analysis
Commits
b782b2d7
Commit
b782b2d7
authored
3 years ago
by
Pierre Roux
Committed by
Björn Brandenburg
2 years ago
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Remove leq_addk
leq_trans and leq_addr seem to be enough.
parent
eda66272
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3 changed files
model/readiness/jitter.v
+1
-1
1 addition, 1 deletion
model/readiness/jitter.v
model/readiness/suspension.v
+1
-1
1 addition, 1 deletion
model/readiness/suspension.v
util/nat.v
+0
-7
0 additions, 7 deletions
util/nat.v
with
2 additions
and
9 deletions
model/readiness/jitter.v
+
1
−
1
View file @
b782b2d7
...
...
@@ -43,7 +43,7 @@ Section ReadinessOfJitteryJobs.
move
:
H2
=>
/
andP
[
REL
UNFINISHED
]
.
rewrite
/
pending
.
apply
/
andP
.
split
=>
//.
move
:
REL
.
rewrite
/
is_released
/
has_arrived
.
by
apply
leq_add
k
.
by
apply
:
leq_trans
;
rewrite
leq_add
r
.
Qed
.
End
ReadinessOfJitteryJobs
.
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Click to expand it.
model/readiness/suspension.v
+
1
−
1
View file @
b782b2d7
...
...
@@ -52,7 +52,7 @@ Section ReadinessOfSelfSuspendingJobs.
move
:
H2
=>
/
andP
[
PASSED
UNFINISHED
]
.
rewrite
/
pending
.
apply
/
andP
.
split
=>
//.
move
:
PASSED
.
rewrite
/
suspension_has_passed
/
has_arrived
=>
/
andP
[
ARR
_]
.
by
move
:
ARR
;
apply
leq_add
k
.
by
apply
:
leq_trans
ARR
;
rewrite
leq_add
r
.
Qed
.
End
ReadinessOfSelfSuspendingJobs
.
...
...
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util/nat.v
+
0
−
7
View file @
b782b2d7
...
...
@@ -26,13 +26,6 @@ Section NatLemmas.
m
<=
p
-
n
.
Proof
.
by
intros
;
lia
.
Qed
.
(** We can drop additive terms on the lesser side of an inequality. *)
Lemma
leq_addk
:
forall
m
n
k
,
n
+
k
<=
m
->
n
<=
m
.
Proof
.
by
intros
;
lia
.
Qed
.
(** For any numbers [a], [b], and [m], either there exists a number
[n] such that [m = a + n * b] or [m <> a + n * b] for any [n]. *)
Lemma
exists_or_not_add_mul_cases
:
...
...
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