PHILADELPHIA (CBS) — It is one of the highest profile cases ever heard in the city of Philadelphia as Mumia Abu-Jamal had a court hearing Monday in hopes to overturn appeals that were previously denied.

Abu-Jamal is serving a life sentence for the murder of Philadelphia Police Officer Daniel Faulkner.

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Demonstrators have been outside the Criminal Justice Center and inside the courtroom all morning as the hearing has wrapped up.

The hearing is a new post-conviction relief act petition, which is essentially an indirect appeal of his 1982 murder conviction. All of Abu-Jamal’s appeals have been exhausted.

Demonstrators are hoping the hearing will result in a court overturning all of that state Supreme Court decisions from 1995 through 2008.

“This is the first time that one of his appeals his actually being heard in a proper sense,” said demonstrator Zayid Muhammad.

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The post-conviction relief act petition cites bias and conflict of interest.

The judge who denied Abu-Jamal’s appeals was the senior assistant district attorney during his trial.

Demonstrators are hoping the court rules in Abu-Jamal’s favor so his case could eventually be retried.

“Our long term goal is for him to be released and brought back to his family,” said one demonstrator.

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After hearing arguments from both sides, a judge said he will give his decision at a later unscheduled time.