Skip to content
GitLab
Explore
Sign in
Primary navigation
Search or go to…
Project
P
PROSA - Formally Proven Schedulability Analysis
Manage
Activity
Members
Labels
Plan
Issues
Issue boards
Milestones
Wiki
Code
Merge requests
Repository
Branches
Commits
Tags
Repository graph
Compare revisions
Build
Pipelines
Jobs
Pipeline schedules
Artifacts
Deploy
Releases
Package Registry
Model registry
Operate
Environments
Terraform modules
Monitor
Incidents
Service Desk
Analyze
Value stream analytics
Contributor analytics
CI/CD analytics
Repository analytics
Model experiments
Help
Help
Support
GitLab documentation
Compare GitLab plans
Community forum
Contribute to GitLab
Provide feedback
Terms and privacy
Keyboard shortcuts
?
Snippets
Groups
Projects
Show more breadcrumbs
Lasse Blaauwbroek
PROSA - Formally Proven Schedulability Analysis
Commits
3eb23cbe
Commit
3eb23cbe
authored
4 years ago
by
Marco Maida
Browse files
Options
Downloads
Patches
Plain Diff
Fixed compilation errors (without classic)
parent
5b509b25
No related branches found
Branches containing commit
No related tags found
Tags containing commit
No related merge requests found
Changes
1
Hide whitespace changes
Inline
Side-by-side
Showing
1 changed file
results/edf/rta/bounded_pi.v
+9
-16
9 additions, 16 deletions
results/edf/rta/bounded_pi.v
with
9 additions
and
16 deletions
results/edf/rta/bounded_pi.v
+
9
−
16
View file @
3eb23cbe
...
...
@@ -543,14 +543,10 @@ Section AbstractRTAforEDFwithArrivalCurves.
Proof
.
move
:
(
H_busy_interval
)
=>
[[
/
andP
[
JINBI
JINBI2
]
[
QT
_]]
_]
.
apply
leq_sum_seq
;
intros
tsko
INtsko
NEQT
.
edestruct
(
leqP
Δ
(
A
+
ε
+
D
tsk
-
D
tsko
))
as
[
NEQ
|
NEQ
];
[
|
apply
ltnW
in
NEQ
]
.
-
move
:
(
NEQ
)
=>
/
minn_idPl
=>
MIN
.
rewrite
minnC
in
MIN
;
rewrite
MIN
;
clear
MIN
.
by
apply
workload_le_rbf
.
-
move
:
(
NEQ
)
=>
/
minn_idPr
=>
MIN
.
rewrite
minnC
in
MIN
;
rewrite
MIN
;
clear
MIN
.
eapply
leq_trans
.
eapply
total_workload_shorten_range
;
eauto
2
.
by
eapply
workload_le_rbf'
;
eauto
2
.
destruct
(
leqP
Δ
(
A
+
ε
+
D
tsk
-
D
tsko
))
as
[
NEQ
|
NEQ
];
first
by
apply
workload_le_rbf
.
apply
ltnW
in
NEQ
.
eapply
leq_trans
.
eapply
total_workload_shorten_range
;
eauto
2
.
now
eapply
workload_le_rbf'
;
eauto
2
.
Qed
.
End
Inequalities
.
...
...
@@ -640,19 +636,16 @@ Section AbstractRTAforEDFwithArrivalCurves.
have
CASE2
:
A
+
D
tsk
-
D
tsk_o
<=
x
by
apply
leq_trans
with
(
A
+
ε
+
D
tsk
-
D
tsk_o
);
first
(
apply
leq_sub2r
;
rewrite
leq_add2r
leq_addr
)
.
by
move
:
CASE2
;
rewrite
-
subn_eq0
;
move
=>
/
eqP
CASE2
;
rewrite
CASE2
subn0
.
now
move
:
CASE2
;
rewrite
-
subn_eq0
;
move
=>
/
eqP
CASE2
;
rewrite
CASE2
subn0
.
}
have
->
:
minn
(
A
+
ε
+
D
tsk
-
D
tsk_o
)
x
=
A
+
ε
+
D
tsk
-
D
tsk_o
by
rewrite
minnE
;
move
:
CASE
;
rewrite
-
subn_eq0
;
move
=>
/
eqP
CASE
;
rewrite
CASE
subn0
.
by
apply
/
eqP
.
now
apply
/
eqP
.
-
have
->
:
minn
(
A
+
D
tsk
-
D
tsk_o
)
x
=
x
.
{
rewrite
minnE
;
rewrite
subKn
//
;
rewrite
-
(
leq_add2r
1
)
!
addn1
-
subSn
.
+
by
rewrite
-
[
in
X
in
_
<=
X
]
addn1
-
addnA
[_
+
1
]
addnC
addnA
.
+
now
rewrite
-
[
in
X
in
_
<=
X
]
addn1
-
addnA
[_
+
1
]
addnC
addnA
.
+
enough
(
POS
:
0
<
A
+
ε
+
D
tsk
-
D
tsk_o
);
last
eapply
leq_ltn_trans
with
x
;
eauto
2
.
by
rewrite
subn_gt0
-
addnA
[
1
+
_]
addnC
addnA
addn1
ltnS
in
POS
.
now
rewrite
subn_gt0
-
addnA
[
1
+
_]
addnC
addnA
addn1
ltnS
in
POS
.
}
have
->
:
minn
(
A
+
ε
+
D
tsk
-
D
tsk_o
)
x
=
x
by
rewrite
minnE
;
rewrite
subKn
//
ltnW
.
by
apply
/
eqP
.
now
apply
/
eqP
.
}
Qed
.
...
...
This diff is collapsed.
Click to expand it.
Preview
0%
Loading
Try again
or
attach a new file
.
Cancel
You are about to add
0
people
to the discussion. Proceed with caution.
Finish editing this message first!
Save comment
Cancel
Please
register
or
sign in
to comment