Web3 Platform for Formal Mathematics

Introduction

Mathematics is today on the verge of a revolution. Formal, computer-verified proofs become ubiquitous and largely adopted as the new means of communication and collaboration. This led to landmark proofs, such as Hales's verification of the Kepler conjecture and Scholze's condensed mathematics recently validated by computers, generating considerable momentum in the mathematical community.

Industrial Demand

Simultaneously, there is growing industrial demand for formal proofs of software and hardware. Similarly, Web3 constitutes a transformation of how data and collaboration are realized in a decentralized, intelligent, and interconnected way.

Project Overview

In this project, we will develop a Web3 platform for formal proofs, designed to establish connections between mathematicians, researchers in formalization, communities, and businesses.

Platform Features

This platform will also integrate state-of-the-art verification, AI, and autoformalization tools to assist in the creation of computer-understandable proofs. The proposed work will include:

1. Development of a Wiki for formal mathematics with integrated blockchain-based tokens that reward users for their contributions.
2. Provision of translations for various logics and proof systems.
3. Investigation of the safety and security of the protocols.

Business Engagement

On the business side, we will conduct market research, engage potential customers, clarify intellectual property rights, and formulate licensing solutions.

Previous Work

The project builds on the success of our ERC project SMART, where we have already developed software that harnesses artificial intelligence for advanced logical reasoning and proposed novel approaches to decentralizing proof verification using blockchain technology.

Future Aspirations

In the current proof of concept project, we aspire to expand these software capabilities into a holistic Web3 platform that will serve as a collaborative hub, enabling diverse stakeholders to collaboratively address practical verification and formalization challenges while rewarding users for their contributions.