DeepAlgebra - an outline of a program

TL;DR

DeepAlgebra proposes a formalization framework using deep learning to connect automated theorem proving with LaTeX, aiming to automate algebraic geometry proofs by leveraging a repository of human knowledge.

Contribution

It introduces a novel approach combining deep learning, syntactic parsing, and formalization to enhance automated theorem proving in algebraic geometry.

Findings

Successful integration with The Stacks Project repository

Effective use of deep learning for syntactic parsing

Potential for automating algebraic geometry proofs

Abstract

We outline a program in the area of formalization of mathematics to automate theorem proving in algebra and algebraic geometry. We propose a construction of a dictionary between automated theorem provers and (La)TeX exploiting syntactic parsers. We describe its application to a repository of human-written facts and definitions in algebraic geometry (The Stacks Project). We use deep learning techniques.