Is Kolmogorov complexity computable?

While theoretically uncomputable due to the halting problem, this skill uses LLMs to provide practical, high-quality approximations of the shortest program for a given output.

What is the KoLMogorov-Test?

The KoLMogorov-Test is a 2025 evaluation framework that measures a model's intelligence based on its ability to compress data into the shortest possible executable program.

What technologies are used for these calculations?

The skill leverages Python for general scripting, MLX for machine learning performance, and Lean4 for formal verification and theorem proving.

How does this skill improve my code?

It helps identify the most 'elegant' and minimal way to represent logic, effectively reducing technical debt and maximizing algorithmic efficiency.

Kolmogorov Complexity & Compression

Name: Kolmogorov Complexity & Compression
Author: plurigrid

byplurigrid

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数据科学与机器学习

Measures and optimizes data complexity by finding the shortest program representation to evaluate intelligence and algorithmic efficiency.

This skill implements Kolmogorov complexity principles to treat compression as a fundamental measure of intelligence. By leveraging LLMs and technologies like Python, MLX, and Lean4, it approximates the shortest possible program (K(x)) required to represent specific data or logic. It is particularly useful for performing the KoLMogorov-Test (2025) to evaluate AI model performance, validating structural integrity in complex systems using topological triads, and optimizing codebases by identifying minimal algorithmic representations.

主要功能

01Supports MLX and Python for high-performance algorithmic compression

027 GitHub stars

03Utilizes GF(3) triad logic to validate claims and filter noise from signals

04Integrates with Lean4 for theorem-based complexity and formal proof analysis

05Approximates Kolmogorov complexity (K(x)) via LLM-driven code generation

06Implements the KoLMogorov-Test (2025) for intelligence evaluation

使用场景

01Formalizing the complexity of mathematical theorems and proofs

02Benchmarking LLM intelligence by measuring data-to-code compression ratios

03Optimizing code efficiency by identifying the most mathematically dense representation of logic

What are Skills?·How to Install

Install with 🐟 Skill.Fish

npx skillfish add plurigrid/asi kolmogorov-compression

For use in Claude.ai and ChatGPT

Download Skill