How does the Darwin Gödel Machine (DGM) work?

The DGM combines evolutionary search (sampling and mutating agents) with a formal prover to ensure that only beneficial, verified improvements are integrated into the system.

Why is formal verification important for self-improving AI?

Formal verification, using tools like Lean4, ensures that an AI's self-modifications are safe and do not lead to unintended or harmful behaviors by requiring a mathematical proof of benefit.

What is a Gödel Machine in AI?

A Gödel Machine is a self-referential universal problem solver that can rewrite any part of its own code, provided it can first prove that the rewrite will improve its future utility.

Which programming languages does this skill support?

The skill is designed to work with Python for general logic, Lean4 for theorem proving, and MLX for efficient machine learning implementation.

Gödel Machine Self-Evolution

Name: Gödel Machine Self-Evolution
Author: plurigrid

byplurigrid

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Data Science & ML

Implements self-improving AI systems using formal verification and evolutionary search to safely enhance agent performance.

The Gödel Machine skill empowers Claude to design and manage self-referential, self-improving architectures based on Schmidhuber’s principles. It integrates formal proof systems like Lean4 with machine learning frameworks to ensure that code rewrites are mathematically proven to increase utility before being applied. By combining Darwinian evolutionary search with rigorous verification, this skill enables the creation of agents that autonomously optimize their own learning algorithms while maintaining strict safety and correctness guarantees through the Darwin Gödel Machine (DGM) framework.

Key Features

01Formal Proof Integration with Lean4 and Coq

02LLM-based Code Mutation and Optimization

03Darwinian Evolutionary Agent Search Logic

047 GitHub stars

05Asymptotic Optimality Convergence Framework

06Utility-driven Self-Modification Safety Checks

Use Cases

01Automating performance tuning through evolutionary search and proof-backed selection

02Implementing safety-critical AI systems requiring formal verification of all changes

03Developing autonomous agents that safely optimize their own internal logic

What are Skills?·How to Install

Install with 🐟 Skill.Fish

npx skillfish add plurigrid/asi godel-machine

For use in Claude.ai and ChatGPT

Download Skill