Resolution

“The work took about a week, taking 'on the order of 100B input tokens (90% cache reads) and about 300 million output tokens (totaling an estimated $135,000 in token spend), and produced about 600k lines of Lean.'”

“Formalizing resolution of singularities lets us automate more of the theory, for example, to better understand sampling, and that understanding is what lets us shape how models learn, which is the goal of what we call patterning.”