R.I. Gen. Laws § 17-15-24
No person shall be debarred from voting in a party primary solely because of that person's signing of nomination papers of a candidate to be voted for at any primary. A person having designated their party affiliation as set forth in chapter 9.1 of this title shall be deemed to have taken part in the primary as a member of that political party, and shall be debarred from voting in the primary as a member of the opposite political party until that person has changed his or her party affiliation as provided in chapter 9.1 of this title. Any person who is not affiliated with any political party shall not be debarred from voting in a party primary due to their participation in a previous party primary while not affiliated with a party.
R.I. Gen. Laws § 17-15-24