The New York Times is reporting former New York mayor and Republican presidential hopeful Rudy Giuliani has given grand jury testimony that differs from what he previously said about his knowledge of former police commissioner Bernard Kerik. Giuliani claimed he had no knowledge of Kerik’s links to a company accused of mob ties when Giuliani supported his bid for police commissioner and later as head of Homeland Security. But in the newly revealed testimony, Giuliani said his former chief investigator told him he had briefed Giuliani on some aspects of the case. Giuliani says he does not remember the briefing but is not disputing his investigator’s recollection. Kerik pleaded guilty last year to letting the company conduct more than $100,000 in free renovations to his Bronx apartment.