After waiving his right to a jury trial, Mr. Guzman was convicted and condemned of the fatal stabbing of David Colvin in an armed robbery in August 1991. The conviction and death sentence were upheld by this Court on direct appeal. But in Mr. Guzman's first postconviction appeal, the Court ordered the trial court to hold an evidentiary hearing into claims that key witnesses had testified falsely at Mr. Guzman's trial. After the hearing, the trial judge rejected Mr. Guzman's appeal. That ruling is the subject of this appeal.