LAPD may be testing Christopher Dorner's word by reviewing ex-cop's firing, expert says

(CBS News) The manhunt for former LAPD officer Christopher Dorner continues as new first-degree murder charges were filed Tuesday against him after last week's ambush-style killing of a police officer.

Dorner is also wanted in two other murders.

Formal murder charges levied against rogue ex-Calif. cop
Massive reward offer for Christopher Dorner
Who is Christopher Dorner?

Dorner was fired from the LAPD five years ago, when a department board determined that he falsely claimed another officer had kicked a suspect.

Asked about recent decision to reopen the case into Dorner's past with the LAPD, CBS News senior correspondent John Miller, former head of the Major Crimes Division of the LAPD, said the police may be testing Dorner.

"Dorner's manifesto says, 'I need to get my reputation back, and I didn't lie, and I shouldn't have been fired. But if I get justice, the killing stops,'" Miller said on "CBS This Morning" Tuesday. "I think if the department takes a step of, 'We'll take a second look at the case, if he is a man of his word, then the killing has to stop.' "

Tips have poured in since the reward for Dorner reached $1 million, more than any other police search outside the federal government, according to Miller.

The search, now infused with a cash incentive, is having the desired effect, according to Miller, who said, "whoever wasn't looking for him, is now."

For more on the case, watch Miller's full "CTM" analysis in the video above.