AGENTIC-SYSTEMSJuly 16, 20261 min read2 views

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

Researchers advocate for 'theory-level autoformalization,' shifting the AI focus from translating isolated mathematical statements to formalizing entire, interconnected theories. This approach aims to enable AI to construct comprehensive, machine-verifiable formal knowledge bases.

Computer Science > Artificial Intelligence

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

View PDF HTML (experimental)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.

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