Which of the following is a true statement with regard to ademption or abatement of testamentary gift?

A$.$ Ademption prevents a bequest from lapsing if the beneficiary is no longer living.

$B.$ Abatement is the failure of a bequest if the property is not owned by the decedent at the time of death.

C$.$ Ademption establishes the order of payment of bequests and their valuation.

$($D$)$ Abatement reduces a beneficiary's share under a will.