Proof Assistant
4 reportsReporting makes sense of Proof Assistant by comparing central examples; theorems and proof methods; and computational uses. The analysis begins with explicit assumptions for computational uses, and uses worked proofs to identify where the explanation succeeds or fails; the result is bounded by the possibility that intuitive analogies can fail when definitions or domains change.
Fields Medalists warn AI-driven math proofs risk undermining research
Twenty-five Fields Medalists have issued a public warning that the push to use AI for solving major mathematical problems could disrupt the discipline's verification process and knowledge transfer.
OpenAI System Claims to Find Navier Stokes Singularity in Fluid Equations
OpenAI reports that a network of AI agents has produced a formal proof suggesting a finite-time singularity in the three-dimensional Navier Stokes equations, a result that could resolve a longstanding Millennium Prize Problem if verified
ChatGPT-Assisted Proof Solves Crouzeix's Conjecture After Decades
A postdoctoral researcher in Beijing has used ChatGPT to help resolve Crouzeix's conjecture, a matrix problem that challenged mathematicians for over 20 years, raising new questions about AI's role in mathematical discovery
AI Systems Challenge Human Role in Mathematical Discovery
Recent advances in large language models and proof assistants have enabled AI systems to generate, formalize, and verify complex mathematical proofs, raising new questions about the future of human mathematicians and the value of human understanding in mathematics