Is it moral to punish a criminal both during his lifetime and posthumously

What is it about?

Is it moral to punish a murderer both during his lifetime by sentencing him, for instance, to life imprisonment, and posthumously—let us assume—by burial in a separate section of the cemetery exclusively assigned for murderers, which would perpetuate their ignominy?

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Why is it important?

We consider that a discussion of this crux might raise valuable insights and questions regarding the philosophy of punishment.