To answer your second question, rebuttals for both sides are rolled out at the same time per turn, meaning that Alice and Bob both see the debate as it exists at turn
To answer your first question, we wrote prompts for each setting, although we limited our iterations so as not to overfit. The things that we implemented are relatively basic coaching: solve step-by-step, come up with a list of adversarial examples and then walk through them one-by-one, try to solve independently first without using the proposer’s answer, etc. I will add the specific prompts to the preprint in the next few days.
Super cool work! It’s great that you were able to get debate RL to work without using CoT-enabled models here.