The work of numerous mathematicians culminated in the discovery of hyperbolic geometry; today, thanks to virtual reality, it is possible to glimpse it beyond its formulas ...
AI could soon spew out hundreds of mathematical proofs that look "right" but contain hidden flaws, or proofs so complex we can't verify them. How will we know if they're right?
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The 'obviously true' theorem that no one can prove
Some mathematical statements feel so intuitive that they seem beyond doubt. Yet in certain cases, proving them has resisted ...
Doyne Farmer says a super-simulator of the global economy would accelerate the transition to a green, clean world ...
In mathematics, proofs can be written down and shared. In cryptography, when people are trying to avoid revealing their ...
Large language models struggle to solve research-level math questions. It takes a human to assess just how poorly they ...
Abstract: We present computer-assisted proofs for Lyapunov stability theorems for autonomous discrete-time dynamical systems. Our approach is supported by the concrete formally-verified realization of ...
Alethfeld is a system for developing mathematical proofs with machine-checked rigour. It coordinates multiple AI agents—each with a specific role—to produce proofs that are structured, verified, and ...
Brand visibility is replacing rankings as the most important metric in SEO. AI search engines now answer questions directly – often without a single click to a website. If your brand isn’t mentioned ...
Talia Ringer is in the Siebel School of Computing and Data Science, University of Illinois at Urbana–Champaign, Urbana, Illinois, 61801, USA. Read the paper: Olympiad-level formal mathematical ...
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