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New benchmark AxQM tests LLMs on formalizing quantum mechanics

Researchers have introduced AxQM, a new benchmark designed to evaluate the capabilities of large language models in formalizing physics. This benchmark consists of over a thousand proof-synthesis tasks derived from the textbook "Quantum Computation and Quantum Information" by Nielsen and Chuang. AxQM is built using a custom Lean library for finite-dimensional quantum mechanics and is intended to be the largest physics proof-synthesis benchmark available, four times larger than its predecessors by task count. The benchmark ensures that every task has a verifiable solution, with grading performed by the Lean kernel to confirm proof compilation and the absence of unresolved declarations. AI

IMPACT This benchmark could accelerate the development of AI systems capable of rigorous formalization in scientific domains.

RANK_REASON The cluster describes a new benchmark for formal proof synthesis in physics, based on a textbook and using a proof assistant. [lever_c_demoted from research: ic=1 ai=1.0]

Read on arXiv cs.AI →

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New benchmark AxQM tests LLMs on formalizing quantum mechanics

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The cluster describes a new benchmark for formal proof synthesis in physics, based on a textbook and using a proof assistant. [lever_c_demoted from research: ic=1 ai=1.0]
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COVERAGE [1]

  1. arXiv cs.AI TIER_1 English(EN) · Weichen Winston Yin, Jacob M. Taylor, Dirk R. Englund, Frank H. L. Koppens ·

    AxQM: A Textbook-Scale Benchmark for Formal Proof Synthesis in a Library of Finite-Dimensional Quantum Mechanics

    arXiv:2609.05157v1 Announce Type: cross Abstract: Formalizing mathematics in a proof assistant, where a machine checks every definition, statement and proof, has set a new standard of rigor. Large language models are now capable of formalizing autonomously, even at the scale of w…