Towards a Bridge Layer Between Bibliographic and Formalized Mathematical Knowledge

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 feasibility study, we show how such scores can be estimated via cross-document alignment between informal texts and Lean formalizations, enabling large-scale analysis of formalization coverage. This framework is a first step toward integrating bibliographic and formal mathematical ecosystems into scalable, machine-actionable knowledge graphs linking publications to formal proof objects.

Digital Libraries (cs.DL); Artificial Intelligence (cs.AI); Logic in Computer Science (cs.LO)

arXiv:2606.11430 [cs.DL]

(or arXiv:2606.11430v1 [cs.DL] for this version)

https://doi.org/10.48550/arXiv.2606.11430 Focus to learn more arXiv-issued DOI via DataCite (pending registration)

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