Holophrasm: a neural Automated Theorem Prover for higher-order logic

Daniel Whalen

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arXiv · 1608.02644

Holophrasm: a neural Automated Theorem Prover for higher-order logic

Daniel Whalen

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Abstract

I propose a system for Automated Theorem Proving in higher order logic using deep learning and eschewing hand-constructed features. Holophrasm exploits the formalism of the Metamath language and explores partial proof trees using a neural-network-augmented bandit algorithm and a sequence-to-sequence model for action enumeration. The system proves 14% of its test theorems from Metamath's set.mm module.

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Daniel Whalen. 2016-08-08. Holophrasm: a neural Automated Theorem Prover for higher-order logic. https://arxiv.org/abs/1608.02644

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