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Towards a Bridge Layer Between Bibliographic and Formalized Mathematical Knowledge

2026-06-09 20:29:18
A. Mayeux
arXiv_AI
           
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.

Abstract (translated)

URL

https://arxiv.org/abs/2606.11430

PDF

https://arxiv.org/pdf/2606.11430.pdf

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