The state Supreme Court is set to hear arguments in several closely watched cases starting Tuesday, but a dispute stemming from the high-profile grand jury report outlining decades of sex abuse at Catholic dioceses across Pennsylvania is expected to highlight the two-day session.

A full complement of the court is scheduled to hear arguments in In re 40th Investigating Grand Jury on Wednesday. The court is set to consider what due process rights should be given to people and institutions that are named as perpetrators in the grand jury reports, but were not charged criminally over the conduct.