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AI Breakthrough: Solving 90-Year-Old Math Problems

11/11/2025

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Summary

Story summary

Marijn Heule, a Carnegie Mellon University researcher, used satisfiability (SAT) to crack geometry and combinatorics problems unsolved for more than 90 years.
SAT relies on binary true or false statements to build logical proofs and enable automated reasoning in mathematics.
Heule aims to combine SAT with large language models (LLMs) to tackle even more complex mathematical challenges.
He believes artificial intelligence could eventually solve problems beyond human capability.

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Story summary

Marijn Heule, a Carnegie Mellon University researcher, used satisfiability (SAT) to crack geometry and combinatorics problems unsolved for more than 90 years.
SAT relies on binary true or false statements to build logical proofs and enable automated reasoning in mathematics.
Heule aims to combine SAT with large language models (LLMs) to tackle even more complex mathematical challenges.
He believes artificial intelligence could eventually solve problems beyond human capability.