arXiv:2606.11430v1 Announce Type: cross Abstract: Mathematical knowledge is split between bibliographic databases (e.g., MathSciNet, zbMATH Open) and formal proof libraries (e.g., Lean mathlib), preventing unified access between published results and their formalizations. We propose a relational bridge-database that aligns publication metadata with formal artifacts, providing an interoperability layer between mathematical literature and machine-verifiable proofs. We introduce a paper-level formalization score that measures how much of a publication is covered in formal systems. As a feasibilit
The increasing sophistication of formal proof assistants and the growing demand for verifiable AI systems are driving the need to bridge the gap between human-readable mathematical literature and machine-verifiable knowledge.
This development could significantly enhance the reliability and trust in complex mathematical and computational systems, potentially accelerating scientific discovery and AI development.
The proposed bridge layer introduces a new standard for interoperability, allowing for more seamless integration between published mathematical results and their formal machine-checked proofs.
- · Formal proof system developers
- · AI safety and verification researchers
- · Academic institutions
- · High-assurance software developers
- · Researchers relying solely on informal mathematical proofs
- · Systems with high error tolerance in mathematical logic
Improved efficiency in mathematical research and validation through automated cross-referencing.
Accelerated development of provably correct AI algorithms and systems.
A potential shift towards requiring formal verification for critical mathematical results in various scientific disciplines.
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Read at arXiv cs.AI