Google AI system proves over 1200 mathematical theorems (2019)

Dec 17, 2023 ·

In 2019, researchers from Google AI revealed that their automated theorem-proving system had successfully proven over 1200 mathematical theorems. This marked a significant milestone in the development of artificial intelligence (AI). By using deep learning and optimization techniques, the Google AI system was able to solve some complex mathematical problems whose solutions had previously eluded even human mathematicians.

The AI system used two neural networks to achieve its results. The first network, called the "theorem generator", was tasked with generating new theorems. It did this by analyzing existing mathematical proofs and using them to identify patterns in the data. Once the patterns were identified, the theorem generator would construct a hypothesis based on those patterns.

The second neural network, called the "proof verifier" then took over. Its job was to verify whether the hypotheses generated by the theorem generator were correct. In order to do so, it searched for counterexamples that could refute the claim being made. If none could be found, then the proof was accepted as true.

Using these two networks, the Google AI system was able to prove complex theorems in a fraction of the time that it would take a human mathematician. It also demonstrated the ability to find new theorems and develop new mathematical insights based on existing knowledge. This is an important breakthrough in the field of AI, as it signals the potential for machines to have the same level of cognitive abilities as humans.

Overall, the success of the Google AI system in proving over 1200 mathematical theorems showcases the incredible capabilities of AI technology. It provides hope for the future of machine learning and the development of more intelligent systems that can significantly reduce the need for manual labor in the sciences and other areas. Moreover, the results of this research encourage further exploration into the potential of AI for solving difficult problems in mathematics and other disciplines.