# Developments in Formal Proofs

arXiv: https://arxiv.org/abs/1408.6474 · HTML: https://mlsanity.com/paper/1408.6474/

## Key facts

- Cited by 2 papers in the map (data through 14 Oct 2026).
- First posted on arXiv 24 Aug 2014.

## Built on by (most cited first, 2 of 2)

- [Rigor with Machine Learning from Field Theory to the Poincar'e Conjecture](https://mlsanity.com/paper/2402.13321/) (2024)
- [Artifical intelligence and inherent mathematical difficulty](https://mlsanity.com/paper/2408.03345/) (2024)

## Abstract (arXiv)

This report describes three particular technological advances in formal proofs. The HOL Light proof assistant will be used to illustrate the design of a highly reliable system. Today, proof assistants can verify large bodies of advanced mathematics; and as an example, we turn to the formal proof in Coq of the Feit-Thompson Odd Order theorem in group theory. Finally, we discuss advances in the automation of formal proofs, as implemented in proof assistants such as Mizar, Coq, Isabelle, and HOL Light.