Only work that comes with a scorecard gets finished on its own

The first misconception to clear away from the news that 13 million lines of proof code were produced in 11 days is that a long-standing open problem was solved. The proof itself was completed by humans in 1994; what was achieved this time is formalization, turning a proof written in human language into code that a machine can check line by line. Because a single line in a paper declaring a step obvious balloons into hundreds of lines of code, mathematicians had regarded this as a project of several years, but the time shrank by repeating a four-step loop millions of times (split the goal into lemmas, write code, run the checker, fix the red lines and run it again) and running a separate agent on each piece in parallel. The main point is that this structure is identical to a coding agent's debug loop, which leads to the conclusion that what decides whether work can be delegated is not how smart the model is but three conditions: a scorecard, divisibility and cheap failure. Work without a scorecard ends with the agent declaring on its own that it went well and stopping, so the key is to supply, along with the task, a one-line command that checks the result.

Key points

  • Formalization is not proving but turning a human-language proof into code a machine can check
  • A four-step loop (split → write → check → fix) run by parallel agents for each piece cut the timeline
  • Three conditions for delegation: a machine-run scorecard, divisibility, and cheap, reversible failure
  • A single line, "done when this command passes," decides how long an agent keeps going

This is a note: my own write-up after reading several sources. It has no source link; events checked against a source are kept as records.

Same week's notes

Agents you clone from a repository, and self-check loopsA prompt skeleton for producing presentation slides as HTMLA week when open-weight models arrived all at onceThe person holding the settings, not the equipment, decides qualityClaude's features, remapped by level of delegation