An AI system has proven a theoretical biology theorem, marking a milestone in using large language model agents for formal scientific reasoning. The workflow involves formalizing the proposition in a …
A technical briefing from Gate of AI examines retrieval-augmented generation (RAG) for knowledge bases, citing a June 2025 research paper that compares RAG, knowledge-graph enhancement, and direct gen…
Researchers introduced Vero, the first benchmark to evaluate joint implementation and proof synthesis at the repository level, containing 43 multi-module instances from real-world repositories in Pyth…
Large language models (LLMs) function as massive pattern libraries for mathematical proofs, excelling on familiar problems but failing on novel twists, according to a technical analysis. The article a…
Astra, an AI model from OpenAI, claims to have solved 10 open math problems, but the lack of formal proof artifacts, benchmarks, or peer review raises skepticism, according to an analysis. The verific…
A team at the Institute for Advanced Study and DeepMind used an AI system called LeanMind to prove the Sylvester-Gallai conjecture in a special Euclidean geometry, marking the first time a major open …
A mathematician argues that the volume of mathematical research has outpaced human ability to verify it, creating a crisis of trust, and proposes 'AIcademia'—AI-assisted proof checking and conjecture …
Researchers applied the Verifiable Growing Physical Transformer with Recursive Self-Improvement (VGPT-RSI) to produce formally verified partial progress on problems adjacent to the Riemann Hypothesis,…
The first LCF-style proof assistant, Edinburgh LCF, was introduced in 1975, establishing the foundational principles of a proof kernel, natural deduction, and goal-directed proof that underpin modern …
This article provides instructions for an AI agent to act as a Lean 4 mentor for an experienced software engineer with a math background. It emphasizes building a correct mental model of Lean as an in…