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Transitions-advance

Advance-next

New system state resulting from an advance event.

Signature
(advance-next val systate) → new-systate
Arguments: val — Guard (addressp val).; systate — Guard (system-statep systate).
Returns: new-systate — Type (system-statep new-systate).

The val parameter of this function is the corresponding component of the advance event.

We increment the validator's round by one.

Definitions and Theorems

Function: advance-next

(defun advance-next (val systate)
  (declare (xargs :guard (and (addressp val)
                              (system-statep systate))))
  (declare (xargs :guard (advance-possiblep val systate)))
  (let ((__function__ 'advance-next))
    (declare (ignorable __function__))
    (b* (((validator-state vstate)
          (get-validator-state val systate))
         (new-round (1+ vstate.round))
         (new-vstate (change-validator-state vstate
                                             :round new-round))
         (systate (update-validator-state val new-vstate systate)))
      systate)))

Theorem: system-statep-of-advance-next

(defthm system-statep-of-advance-next
  (b* ((new-systate (advance-next val systate)))
    (system-statep new-systate))
  :rule-classes :rewrite)

Theorem: advance-next-of-address-fix-val

(defthm advance-next-of-address-fix-val
  (equal (advance-next (address-fix val) systate)
         (advance-next val systate)))

Theorem: advance-next-address-equiv-congruence-on-val

(defthm advance-next-address-equiv-congruence-on-val
  (implies (address-equiv val val-equiv)
           (equal (advance-next val systate)
                  (advance-next val-equiv systate)))
  :rule-classes :congruence)

Theorem: advance-next-of-system-state-fix-systate

(defthm advance-next-of-system-state-fix-systate
  (equal (advance-next val (system-state-fix systate))
         (advance-next val systate)))

Theorem: advance-next-system-state-equiv-congruence-on-systate

(defthm advance-next-system-state-equiv-congruence-on-systate
  (implies (system-state-equiv systate systate-equiv)
           (equal (advance-next val systate)
                  (advance-next val systate-equiv)))
  :rule-classes :congruence)