Axiovora-X: An Autonomous Mathematical Discovery System

This repository is dedicated to the development of Project V1, a self-contained, autonomous mathematical discovery system. The goal of this project is to create a platform for fundamental research in mathematics and artificial intelligence.

Vision

Project V1 aims to build a system with five core technical components:

1. The Genesis Engine: A program that can define a mathematical universe from axioms and autonomously derive theorems.
2. The Cross-Universe Analysis Module: A tool to compare different mathematical universes and identify invariants.
3. The Neuro-Symbolic Network: An AI model to guide the Genesis Engine's proof search.
4. The Quantum-Inspired Layer: An experimental component to explore quantum-inspired algorithms for proof search.
5. The Human Interface: A 3D visualization and interaction layer for exploring the system's discoveries.

Roadmap

The development of Project V1 is divided into several phases:

• Phase 0: Foundation and Strategic Pivot: Transitioning the project from a web development exercise into a serious research endeavor.
• Phase 1: The Genesis Engine: Building the core logic engine.
• Phase 2: Neuro-Symbolic Integration: Infusing the Genesis Engine with intelligence.
• Phase 3: Advanced Analytics & Exploration: Building systems for large-scale analysis.
• Phase 4: The Human Interface: Creating a sophisticated interface for human interaction.

This project is a long-term research effort. The current focus is on Phase 0, which involves a deep dive into the relevant literature and setting up the foundational environment for the project.