AIPS: An Olympiad-level AI System for  Algebraic Inequalities

Pushing the Boundaries of AI in Math Reasoning

Inspired by the spirit of the ancient Greek Olympics, the International Mathematical Olympiad (IMO) is the world's most reputed theorem-proving competition, aimed at discovering young human geniuses. It also serves as a platform for testing advanced AI systems in math reasoning.

In our paper, we introduce AIPS, an advanced inequality prover. AIPS not only solves 10 out of 20 IMO-level inequality problems, outperforming current state-of-the-art methods without brute-force computation, but also autonomously discovers a wide array of non-trivial inequality theorems without human intervention. Some of these theorems have been evaluated by professional contestants and are deemed to reach the level of the IMO.

Mimicking Human Genius: How AIPS Redefines AI Reasoning

Much like the work style of human brains, our system integrates symbolic reasoning, neural networks, and an efficient search method, representing logical reasoning, mathematical intuition, and efficient thinking methods, respectively. By employing a novel value curriculum learning strategy, AIPS has reached a new level of proficiency in automated theorem proving. It is a powerful example of the future of AI in education and professional mathematics, providing advanced tools and methodologies for solving complex mathematical challenges.