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# Library prosa.model.readiness.sequential

Require Export prosa.behavior.all.
Require Export prosa.model.task.sequentiality.

# Sequential Readiness Model

In this module, we define the notion of sequential task readiness. This notion is similar to the classic Liu & Layland model without jitter or self-suspensions. However, an important difference is that in the sequential task readiness model only the earliest pending job of a task is ready.
Section SequentialTasksReadiness.
Consider any type of job associated with any type of tasks...
Context {Job : JobType}.
Context {Task : TaskType}.
Context `{JobTask Job Task}.
Context `{JobArrival Job}.
Context `{JobCost Job}.
... and any kind of processor state.
Context {PState : ProcessorState Job}.
Consider any job arrival sequence ...
Variable arr_seq : arrival_sequence Job.
A job j is ready at a time instant t iff all jobs from task job_task j that arrived earlier than job j are already completed by time t.
#[local,program] Instance sequential_ready_instance : JobReady Job PState :=
{
job_ready sched j t := pending sched j t
&& prior_jobs_complete arr_seq sched j t;
}.
Next Obligation. by move⇒ sched j t /andP[]. Qed.
End SequentialTasksReadiness.