A judge in Manhattan indicated on Monday that he would throw out the conviction and dismiss the indictment of a Bronx man who spent four years in prison for rape before his accuser admitted that her story had been a lie.

The judge, Justice Richard D. Carruthers of State Supreme Court, spoke after prosecutors filed papers saying that they consented to a request by lawyers for the man, William McCaffrey, that both actions be taken.

“Certainly, it seems from what I hear, the case against William McCaffrey should be dismissed,” Justice Carruthers said during a brief hearing. “But I want to craft a decision about it that will encompass or treat both grounds that have been raised. I don’t want this gentleman to have to wait any longer than is absolutely necessary for finality in this case.”

Mr. McCaffrey, 32, has been free on bail since Sept. 1, while prosecutors investigated new evidence that cast doubt on his conviction. Justice Carruthers is expected to submit an official ruling clearing Mr. McCaffrey on Dec. 10.