Theory-Level Autoformalization: From Isolated Statements to Unified Formal Knowledge Bases

[Submitted on 14 Jul 2026]

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Abstract:Autoformalization translates informal natural language into formal, machine-verifiable languages. While most work focuses on individual statements, real formalization efforts are inherently theory-level: they require an entire web of axioms, definitions, and lemmas before target theorems can even be stated. In this position paper, we argue for theory-level autoformalization: formalizing complete theories, including all their inter-dependencies, as structured libraries. We examine the significance of this shift, address alternative views, identify open challenges, and propose three promising paths forward. Our survey of autoformalization is available at this https URL.

Submission history

From: Marcus J. Min [view email]
[v1] Tue, 14 Jul 2026 21:58:52 UTC (8,020 KB)