Mathematical Reasoning With AI
Last Updated on July 26, 2023 by Editorial Team
Author(s): Teemu Maatta
Originally published on Towards AI.
New neural theorem proving techniques lead towards AGI.
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Photo by Louis Vanleer on Unsplash
Introduction
Mathematics is a challenge to AI research due to (a) infinite action space & (b) lack of self-play.
Yet, the AGI implies the ability for mathematical reasoning.
Lean, Metamath, and Equations are environments used for proving formal mathematical theorems.
Such tools offer high-level tactics to apply to the problem. The algorithm solves theorems by generating a set of tactics without human interaction.
Letβs review three techniques for automated neural theorem proving:
Expert iteration applied with GPT-fHyperTree Proof Search with online training (Evariste)Chain of thought-prompting applied with the PaLM model
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