New York Laws
Article 12 - Hotels and Boarding Houses
209-G - Notice of Abandonment.

ยง 209-g. Notice of abandonment. The proprietor of a name registered as
provided in this article, may file a written notice of abandonment
thereof, subscribed and acknowledged by such proprietor in each public
office in which the name is registered, and thereupon all rights of the
subscriber of such notice acquired by the registration of such name
pursuant to this article shall be extinguished, and the provisions
thereof which prohibit the use of the same or a similar name shall no
longer apply.