arXiv Machine Learning By Fredrik R{\o}mming, Mantas Bak\v{s}ys, Martin S. Fixman, Sean B. Holden

Imitation Learning for Connection-Tableau Construction

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The paper presents an approach to automated theorem proving by framing the construction of clausal connection tableaux as a policy in a transition system. It introduces a graph neural network that scores proof edits based on structure, trained via imitation learning from existing proofs. Experiments on M2k, MPTP2078-bushy, and TPTP v9.2.1 show that the learned policies solve up to 46% more problems than leanCoP and find proofs in an order of magnitude fewer steps.

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