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• System-states

Update-network-state

Update the state of the network in the system.

Signature

(update-network-state network systate) → new-systate

Arguments

network — Guard (message-setp network).

systate — Guard (system-statep systate).

Returns

new-systate — Type (system-statep new-systate).

This is a thin layer, but it provides more abstraction.

Definitions and Theorems

Function: update-network-state

(defun update-network-state (network systate)
  (declare (xargs :guard (and (message-setp network)
                              (system-statep systate))))
  (let ((__function__ 'update-network-state))
    (declare (ignorable __function__))
    (change-system-state systate
                         :network network)))

Theorem: system-statep-of-update-network-state

(defthm system-statep-of-update-network-state
  (b* ((new-systate (update-network-state network systate)))
    (system-statep new-systate))
  :rule-classes :rewrite)

Theorem: all-addresses-of-update-network-state

(defthm all-addresses-of-update-network-state
  (b* ((?new-systate (update-network-state network systate)))
    (equal (all-addresses new-systate)
           (all-addresses systate))))

Theorem: correct-addresses-of-update-network-state

(defthm correct-addresses-of-update-network-state
  (b* ((?new-systate (update-network-state network systate)))
    (equal (correct-addresses new-systate)
           (correct-addresses systate))))

Theorem: faulty-addresses-of-update-network-state

(defthm faulty-addresses-of-update-network-state
  (b* ((?new-systate (update-network-state network systate)))
    (equal (faulty-addresses new-systate)
           (faulty-addresses systate))))

Theorem: get-network-state-of-update-network-state

(defthm get-network-state-of-update-network-state
  (equal (get-network-state (update-network-state network systate))
         (message-set-fix network)))

Theorem: get-validator-state-of-update-network-state

(defthm get-validator-state-of-update-network-state
 (equal (get-validator-state val
                             (update-network-state network systate))
        (get-validator-state val systate)))

Theorem: update-network-state-of-message-set-fix-network

(defthm update-network-state-of-message-set-fix-network
  (equal (update-network-state (message-set-fix network)
                               systate)
         (update-network-state network systate)))

Theorem: update-network-state-message-set-equiv-congruence-on-network

(defthm update-network-state-message-set-equiv-congruence-on-network
  (implies (message-set-equiv network network-equiv)
           (equal (update-network-state network systate)
                  (update-network-state network-equiv systate)))
  :rule-classes :congruence)

Theorem: update-network-state-of-system-state-fix-systate

(defthm update-network-state-of-system-state-fix-systate
  (equal (update-network-state network (system-state-fix systate))
         (update-network-state network systate)))

Theorem: update-network-state-system-state-equiv-congruence-on-systate

(defthm
      update-network-state-system-state-equiv-congruence-on-systate
  (implies (system-state-equiv systate systate-equiv)
           (equal (update-network-state network systate)
                  (update-network-state network systate-equiv)))
  :rule-classes :congruence)