With just a few prompts, ChatGPT was able to improve the upper bound on f(k) (which I will define very soon) from exponential in k to polynomial in k. While its first improvement of the bound, from exponential in k to exponential in log k, was a routine modification of my work, the improvement to polynomial in k is quite impressive.
AI在极短时间内实现了数学上质的飞跃，从指数级改进到多项式级，这种突破性进展展示了AI在数学创新方面的潜力。