Built with Alectryon, running Coq+SerAPI v8.19.0+0.19.0. Bubbles () indicate interactive fragments: hover for details, tap to reveal contents. Use Ctrl+↑ Ctrl+↓ to navigate, Ctrl+🖱️ to focus. On Mac, use ⌘ instead of Ctrl.
[Loading ML file ssrmatching_plugin.cmxs (using legacy method) ... done]
[Loading ML file ssreflect_plugin.cmxs (using legacy method) ... done]
[Loading ML file ring_plugin.cmxs (using legacy method) ... done]
[Loading ML file coq-elpi.elpi ... done]
[Loading ML file zify_plugin.cmxs (using legacy method) ... done]
[Loading ML file micromega_plugin.cmxs (using legacy method) ... done]
[Loading ML file btauto_plugin.cmxs (using legacy method) ... done]
Notation "_ + _" was already used in scope nat_scope.
[notation-overridden,parsing,default]
Notation "_ - _" was already used in scope nat_scope.
[notation-overridden,parsing,default]
Notation "_ <= _" was already used in scope nat_scope.
[notation-overridden,parsing,default]
Notation "_ < _" was already used in scope nat_scope.
[notation-overridden,parsing,default]
Notation "_ >= _" was already used in scope nat_scope.
[notation-overridden,parsing,default]
Notation "_ > _" was already used in scope nat_scope.
[notation-overridden,parsing,default]
Notation "_ <= _ <= _" was already used in scope
nat_scope. [notation-overridden,parsing,default]
Notation "_ < _ <= _" was already used in scope
nat_scope. [notation-overridden,parsing,default]
Notation "_ <= _ < _" was already used in scope
nat_scope. [notation-overridden,parsing,default]
Notation "_ < _ < _" was already used in scope
nat_scope. [notation-overridden,parsing,default]
Notation "_ * _" was already used in scope nat_scope.
[notation-overridden,parsing,default]

Require Export prosa.model.preemption.parameter.

(** * Preemption Times on a Uniprocessor *)

(** The preemption framework defines a generic predicate [job_preemptable] as
    the interface to various preemption models. Crucially, [job_preemptable]
    does not depend on the current schedule or the current time, but only on
    the job's progress, i.e., it indicates the presence or absence of a
    preemption _point_ in the job's execution. In this section, we define the
    notion of a preemption _time_ in a uniprocessor schedule based on the
    progress of the currently scheduled job. *)

Section PreemptionTime.

  (**  Consider any type of jobs, ... *)
  Context {Job : JobType}.

  (** ... any preemption model, ... *)
  Context `{JobPreemptable Job}.

  (** ... any arrival sequence, ... *)
  Variable arr_seq : arrival_sequence Job.

  (** ... any processor model, ... *)
  Context {PState : ProcessorState Job}.

  (** ... and any schedule. *)
  Variable sched : schedule PState.

  (** We say that a time [t] is a preemption time iff the job that is currently
      scheduled at [t], if any, can be preempted according to the predicate
      [job_preemptable] (which encodes the preemption model). An idle instant
      is always a preemption time. *)
  Definition preemption_time (t : instant) :=
    if (scheduled_job_at arr_seq sched t) is Some j then
      job_preemptable j (service sched j t)
    else true.

End PreemptionTime.