Opinions on the death penalty?

I agree with the death penalty in principle. In practice, I would only agree with it under the dictatorship of the proletariat because a bourgeois state should not have that amount of power.

I'm all for rehabilitative justice, but if it can be proven beyond any reasonable doubt that you:

1. intentionally murdered an innocent person
2. raped someone
3. molested a child
4. are a nazi
5. committed war crimes

then you have forfeited your right to be a part of society and should be removed from it. Imo there is no amount of re-education or rehabilitation that can fix a person who has done any of the aforementioned things.

Thoughts?