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Dependencies in Formal Mathematics: Applications and Extraction for Coq and Mizar

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arxiv 1109.3687 v2 pith:G3PRQBRO submitted 2011-09-16 cs.DL cs.LOmath.LO

Jesse Alama , Lionel Mamane , Josef Urban This is my paper
classification cs.DLcs.LOmath.LO
keywords applicationsdependenciesdependencyextractionmethodsmizardetailedformal
verification ladder T0 review T1 audit T2 compute T3 formal
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Two methods for extracting detailed formal dependencies from the Coq and Mizar system are presented and compared. The methods are used for dependency extraction from two large mathematical repositories: the Coq Repository at Nijmegen and the Mizar Mathematical Library. Several applications of the detailed dependency analysis are described and proposed. Motivated by the different applications, we discuss the various kinds of dependencies that we are interested in,and the suitability of various dependency extraction methods.

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  1. TheoremGraph: Bridging Formal and Informal Mathematics

    cs.IR 2026-06 unverdicted novelty 7.0 of 10

    TheoremGraph builds a unified statement-level dependency graph across informal arXiv math and formal Lean code via parsing, embeddings, and LLM validation, releasing the data and APIs for search and retrieval.

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