Open Research Index

Automated Conjecturing: Generation, Selection and Evaluation

Ayush Agrawal, Vedant Shah, Navin Goyal, Ankit Anand, Aaron Courville

Hexagonhexagon/2610.00631Oct 29, 2026cs.AIscore 0

Deciding which conjectures are worth proving is a crucial part of mathematical discovery, and a system that learns mathematics from its axioms alone must make that decision without human guidance. Self-play provers such as Minimo learn a conjecturer alongside the prover and reward it for producing hard conjectures, but a conjecture that is harder to prove is not necessarily more useful for improving a prover: the learned conjecturer drifts toward long, artificial statements. We study conjecturing in a controlled, single-round setting in the Peano formal environment, across propositional…

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