Abolishing capital punishment isn't intended to fix the issue you're describing. You may not have done so intentionally but you've created a Straw Man there. A

Abolishing capital punishment isn't intended to fix the issue you're describing. You may not have done so intentionally but you've created a Straw Man there. Abolishing capital punishment allows us to reverse the decision later when new evidence comes to light exonerating the convict. You can't free a dead person. There are other justifications as well in terms of financial cost although the facts are more cloudy there, I've seen good quality analyses presenting cases in favour of both arguments around the cost of the death penalty vs lifetime incarceration.