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Paper · arXiv

Hypothesis-Disciplined Multi-Agent Automated Formalization of Asymptotic Statistical Theory

Asymptotic statistical theory is a challenging domain for AI-assisted formalization: its central results mix convergence statements, asymptotic expansions, functional analysis, and regularity conditions that have a large gap from existing infrastructure in Lean 4 formalization. To address these challenges, we propose a hypothesis-disciplined Lean 4 formalization pipeline built from multiple agents: a manager that coordinates seven specialist roles for proof planning, skeleton scaffolding, Mathlib reconnaissance, proof construction, integration, independent review, and audit. The main methodological discipline is the hypothesis-disciplined audit, implemented by the Auditor agent: every mai...

AuthorsTingzhou Wei, Zeyu Zheng, Ethan X. Fang et al.
Primary categorycs.AI
Published3 June 2026
Last updated at source3 June 2026
cs.AIcs.LGcs.LOmath.ST
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