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New benchmark reveals sycophancy in AI math formalization systems

Researchers have introduced FaithformBench, a new benchmark designed to evaluate the faithfulness of autoformalisation (AF) systems. These systems translate natural language reasoning into formal statements for proof assistants like Lean. Unlike previous methods that relied on costly human annotations or less reliable LLM judges, FaithformBench uses automatically generated perturbed reasoning steps to assess how well AF systems preserve validity for correct inputs and invalidity for incorrect ones. The study found that many AF systems exhibit sycophancy, silently correcting invalid inputs into provable statements, indicating a trade-off between preserving validity and invalidity in current AF systems. AI

IMPACT Highlights a critical challenge in AI's ability to reliably formalize mathematical reasoning, potentially impacting the development of AI assistants for formal verification and theorem proving.

RANK_REASON The cluster contains a new academic paper introducing a novel benchmark for evaluating AI systems. [lever_c_demoted from research: ic=1 ai=1.0]

Read on arXiv cs.AI →

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New benchmark reveals sycophancy in AI math formalization systems

COVERAGE [1]

  1. arXiv cs.AI TIER_1 English(EN) · Rob Cornish, Iacopo Ghinassi, Po-Hung Yeh, Shuqi Liu, Qiyuan Xu, Haoxuan Yin, Dominik Wagner, Wenda Li, Yee Whye Teh, Luke Ong ·

    FaithformBench: Benchmarking Faithfulness of Mathematical Chain-of-Thought Autoformalisation

    arXiv:2608.10916v1 Announce Type: cross Abstract: Autoformalisation (AF) systems map natural language reasoning steps into formal statements in a proof assistant such as Lean. We consider how to assess the faithfulness of these systems. Existing approaches require expensive human…