Gödel Machine Skill

"A Gödel Machine can rewrite any part of itself, including the learning algorithm, provided it can first prove that the rewrite is beneficial." — Jürgen Schmidhuber

Overview

The Gödel Machine is a self-improving system that:

1. Contains a formal proof system (e.g., Lean4, Coq)
2. Has a utility function defining "better"
3. Can rewrite any part of itself if it proves the rewrite improves utility
4. The proof constraint prevents reckless self-modification

Core Architecture