Its really neither. A person on parole is considered under the legal custody of the Department of Corrections and shall be subject at any time to be taken back within the inclosure of the prison. A parolee is entitled to a parole hearing to determine if they violated any condition thereof. If they have violated a condition of parole they are returned within the inclosure of the prison.
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Violating your parole is not a separate crime (felony or misdemeanor) UNLESS the parole violation itself derives from a criminal act. For example, failing to report to your parole officer on time may not be a crime in and of itself, but puts you on the hook for a violation sentence up to the max limit of your original incarceration.