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PROSA - Formally Proven Schedulability Analysis
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Lasse Blaauwbroek
PROSA - Formally Proven Schedulability Analysis
Commits
31002060
Commit
31002060
authored
9 years ago
by
Felipe Cerqueira
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bertogna_fp_comp.v
+3
-3
3 additions, 3 deletions
bertogna_fp_comp.v
interference_bound_edf.v
+1
-1
1 addition, 1 deletion
interference_bound_edf.v
with
4 additions
and
4 deletions
bertogna_fp_comp.v
+
3
−
3
View file @
31002060
...
...
@@ -24,14 +24,14 @@ Module ResponseTimeIterationFP.
Variable
job_deadline
:
Job
->
nat
.
Variable
job_task
:
Job
->
sporadic_task
.
(* Consider a platform with num_cpus processors, ...*)
(* Consider a platform with num_cpus processors, ...
*)
Variable
num_cpus
:
nat
.
(* ..., and priorities based on an FP policy. *)
Variable
higher_priority
:
fp_policy
sporadic_task
.
(* Next we define the fixed-point iteration for computing
Bertogna's response-time bound
for any
task
in ts
. *)
Bertogna's response-time bound
of a
task
set
. *)
(* First, given a sequence of pairs R_prev = <..., (tsk_hp, R_hp)> of
response-time bounds for the higher-priority tasks, we define an
...
...
@@ -224,7 +224,7 @@ Module ResponseTimeIterationFP.
}
Qed
.
(*
fp_claimed_bounds
contains a response-time bound for every task
s
in the
original
task set. *)
(*
The list
contains a response-time bound for every task in the task set. *)
Lemma
fp_claimed_bounds_non_empty
:
forall
ts'
rt_bounds
tsk
,
fp_claimed_bounds
ts'
=
Some
rt_bounds
->
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interference_bound_edf.v
+
1
−
1
View file @
31002060
...
...
@@ -1009,7 +1009,7 @@ Module EDFSpecificBound.
by
rewrite
big_const_nat
iter_addn
mul1n
addn0
.
Qed
.
(* ... which results in proving that (a_lst + D_k) - 1 <=
a_fst
.
(* ... which results in proving that (a_lst + D_k) -
t
1 <=
D_i
.
This holds because high-priority jobs have earlier deadlines. Therefore,
the interference caused by the first job is bounded by D_i %% p_k - (D_k - R_k). *)
Lemma
interference_bound_edf_interference_of_j_fst_limited_by_remainder_and_slack
:
...
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