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Paper · arXiv

Stress-Testing the Reasoning Competence of LLMs With Proofs Under Minimal Formalism

We introduce ProofGrid, a benchmark suite for evaluating LLM reasoning through machine-checkable proofs rather than final answers alone. ProofGrid contains 15 tasks spanning proof writing, proof checking, proof masking, and proof gap-filling. Tasks are expressed in minimal formal notation, especially NDL, a compact natural-deduction language that fits in short prompts and supports precise, auditable verification. This yields mechanical, reproducible, and fine-grained evaluation rather than judgments by humans or LLMs. ProofGrid covers a calibrated difficulty spectrum, from foundational reasoning tests to structurally rich challenge tasks that no current model solves, while minimizing reli...

AuthorsKonstantine Arkoudas, Serafim Batzoglou
Primary categorycs.LO
Published7 April 2026
Last updated at source7 April 2026
cs.LOcs.AI
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