R.I. Gen. Laws § 17-18-13: Reopening of town elective meetings — Certificates.

If, in any case in a town not divided into voting districts, there is no election of the town officers voted for who are required to be elected by the people, or of any of them, the polls may be reopened and proceedings shall be had until an election takes place. In those towns, after the declaration of the result of the voting for town officers, the town clerks shall give certificates of their election to the persons elected town officers.