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Ankit Anand

Alumni

Publications

Training a First-Order Theorem Prover from Synthetic Data
Vlad Firoiu
Eser Aygün
Laurent Orseau
Lei Zhang
Shibl Mourad
Learning to Prove from Synthetic Theorems
Eser Aygün
Vlad Firoiu
Laurent Orseau
Shibl Mourad
A major challenge in applying machine learning to automated theorem proving is the scarcity of training data, which is a key ingredient in t… (voir plus)raining successful deep learning models. To tackle this problem, we propose an approach that relies on training with synthetic theorems, generated from a set of axioms. We show that such theorems can be used to train an automated prover and that the learned prover transfers successfully to human-generated theorems. We demonstrate that a prover trained exclusively on synthetic theorems can solve a substantial fraction of problems in TPTP, a benchmark dataset that is used to compare state-of-the-art heuristic provers. Our approach outperforms a model trained on human-generated problems in most axiom sets, thereby showing the promise of using synthetic data for this task.