Abstract

Premise selection is crucial for large theory reasoning with automated theorem provers as the sheer size of the problems quickly leads to resource exhaustion. This paper proposes a premise selection method inspired by the machine learning domain of image captioning, where language models automatically generate a suitable caption for a given image. Likewise, we attempt to generate the sequence of axioms required to construct the proof of a given conjecture. In our axiom captioning approach, a pre-trained graph neural network is combined with a language model via transfer learning to encapsulate both the inter-axiom and conjecture-axiom relationships. We evaluate different configurations of our method and experience a 14% improvement in the number of solved problems over a baseline.

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