A mathematician's lifelong Hilbert's Tenth Problem quest ends with OpenAI proof
aran_nayebi · x · 2026-10-08
Author Aran Nayebi adds personal context: he fell in love with Hilbert's Tenth Problem at 18 and, as a freshman summer project, worked out efficient ways to write Diophantine representations of unprovable statements in PA (his 2013 arXiv paper "Exponential prefixed polynomial equations" built EPPEs equivalent to Goodstein's theorem and Paris-Harrington for pairs).
He reflects on finally seeing the problem over Q fall, in the same event as his earlier analysis of OpenAI's proof.
Related event: OpenAI Model Proves Hilbert's Tenth Problem Undecidable over the Rationals(5 posts)→
More from Research
- Full Slides Released for ECCV'26 Tutorial on Diffusion Model Post-Training and Alignment — CSProfKGD · 2026-10-08
- Norvig's Classic Essay on Chomsky and the Two Cultures of Statistical Learning Still Reads Fresh in the LLM Era — 3scorciav · 2026-10-08
- DatologyAI open-sources Zephon, cutting data-order noise from 0.82 to 0.05 points when GPU count changes — lmoroney · 2026-10-08
- ProactiveCoach: Hierarchical Guidance Boosts Proactive AI Assistants by 57.1 Points — skku · 2026-10-08
- STEPQuant: 6-bit quantization of Delta-rule recurrent states cuts serving memory by up to 68.7% — zju-community · 2026-10-08
- RoboQuest Benchmark: Best Multimodal Agent Succeeds in Only 23% of Embodied Exploration Tasks — declare-lab · 2026-10-08