(a) An abbreviated probate proceeding is a proceeding for probate of a will or a determination of a decedent's intestacy and for the appointment of a personal representative. This proceeding is instituted when an interested person files a petition for an abbreviated probate proceeding with the Court in accordance with the provisions of § 20-304. This proceeding may be conducted without the prior notice required for formal probate under § 20-323. (b) The finality of abbreviated probate shall be governed by § 20-331.