R.I. Gen. Laws § 44-3-24: Reevaluation of real property — Adjustment of exemption upon.

The city and town councils of the various cities and towns may provide, by ordinance, for the adjustment of the tax exemption for all persons entitled to it pursuant to this chapter in any year that the city or town has a real property reevaluation. The adjustment shall be made to reflect the same monetary savings that appeared on the property tax bill that existed for the year prior to reevaluation of the real property. If any provision of this section is held invalid, the remainder of this section and the application of its provisions shall not be affected by that invalidity.