R.I. Gen. Laws § 28-41-18

Any claimant may file an appeal from the determination of the director to an appeal tribunal within the specified time. The parties to an appeal from a determination shall include all interested parties, including the director. Appeals may be withdrawn at the request of the appellant and with the permission of the appeal tribunal, if the record preceding the appeal and the request for the withdrawal support the correctness of the determination and indicate that no coercion or fraud is involved in the withdrawal.