New York Consolidated Laws, Civil Practice Law and Rules - CVP § 402. Pleadings

There shall be a petition, which shall comply with the requirements for a complaint in an action, and an answer where there is an adverse party.  There shall be a reply to a counterclaim denominated as such and there may be a reply to new matter in the answer in any case.  The court may permit such other pleadings as are authorized in an action upon such terms as it may specify.  Where there is no adverse party the petition shall state the result of any prior application for similar relief and shall specify the new facts, if any, that were not previously shown.