Davis was convicted of murdering a police officer in 1991 based on eyewitness testimony. The problem is that seven of the nine people who testified against him at his trial have since recanted, saying they were pressured and coerced by the police. Three other witnesses who did not testify at the trial have since come forward to say another man committed the murder—a man who happens to have been one of the two remaining witnesses against Davis who have yet to recant their testimony.
This morning, the Court denied Davis' appeal. It doesn't look like Davis has many more options.