# Matching concepts across HOL libraries

arXiv: https://arxiv.org/abs/1405.3906 · HTML: https://mlsanity.com/paper/1405.3906/

## Key facts

- Cited by 1 papers in the map (data through 14 Oct 2026).
- First posted on arXiv 15 May 2014.

## Built on by (most cited first, 1 of 1)

- [JEFL: Joint Embedding of Formal Proof Libraries](https://mlsanity.com/paper/2107.10188/) (2021)

## Abstract (arXiv)

Many proof assistant libraries contain formalizations of the same mathematical concepts. The concepts are often introduced (defined) in different ways, but the properties that they have, and are in turn formalized, are the same. For the basic concepts, like natural numbers, matching them between libraries is often straightforward, because of mathematical naming conventions. However, for more advanced concepts, finding similar formalizations in different libraries is a non-trivial task even for an expert. In this paper we investigate automatic discovery of similar concepts across libraries of proof assistants. We propose an approach for normalizing properties of concepts in formal libraries and a number of similarity measures. We evaluate the approach on HOL based proof assistants HOL4, HOL Light and Isabelle/HOL, discovering 398 pairs of isomorphic constants and types.