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Paper · arXiv

VERITAS: Verifier-Guided Proof Search for Zero-Shot Formal Theorem Proving

LLM-based formal provers often collapse rich verifier signals (syntax errors, type mismatches, partial goal progress) into a binary pass/fail bit. We present VERITAS, a zero-shot framework that routes every verifier signal back into proof search through a two-phase protocol: Best-of-N sampling first, then a critic-guided MCTS pass that ingests Phase 1 failures as explicit negative examples. The protocol preserves every theorem solved by its own Phase 1 sweep, so Phase 2's additional solves are attributable to feedback-driven exploration. VERITAS reaches 40.6% on miniF2F (vs. an independently run Best-of-5 at 36.9%, Portfolio 26.2%) and 7.3% on VERITAS-CombiBench, a 55-theorem combinatoric...

AuthorsManish Acharya, Zhenyu Liao, Yueke Zhang et al.
Primary categorycs.LG
Published17 June 2026
Last updated at source17 June 2026
cs.LGcs.AIcs.LOcs.PL
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