Comedy Central is keeping a short list of people to replace Daily Show host Jon Stewart, but the network is not revealing any names, an executive said Wednesday. Doug Herzog, president of Viacom Entertainment Group, declined to name any candidates but said, “there’s a short list” of possible contenders to become Stewart’s successor. Herzog also dismissed the idea of former Daily Show correspondent John Oliver, who moved to HBO to star in his own show, as the rightful heir to the hit news-satire show. “John Oliver’s got a job,” Herzog said. “I think he’s spoken for.” As for whether Stewart will still hold a role on the show, Herzog said that’s “TBD,” or to be determined. “It’s not out of the question.” Stewart announced Tuesday that he would leave the show when his contract ends this fall.