# Homotopy Type Theory by the Univalent Foundations Program

4 Hacker News commenters recommended Homotopy Type Theory by the Univalent Foundations Program and 0 criticized it, November 2025 to November 2026. It was recommended in 2 of 13 months.

**Verdict:** People recommend it for explaining type theory and mind-altering ideas like higher inductive types. One mixed review says the second chapter is hard to follow.

## Why people recommend it

- Easy-to-follow first chapter (1 comments): "First chapter on type theory is great and pretty easy to follow. The second chapter, I got completely lost." ([source](https://news.ycombinator.com/item?id=49282048))
- Helpful for understanding core concepts (1 comments): "HoTT is a really helpful way to better understand those concepts." ([source](https://news.ycombinator.com/item?id=49285700))
- Clarifies mere propositions (1 comments): "Mere propositions is probably best viewed with Homotopy Type Theory" ([source](https://news.ycombinator.com/item?id=47066299))
- Mind-altering higher inductive types (1 comments): "higher inductive types are downright mind-altering" ([source](https://news.ycombinator.com/item?id=49281331))

## What people warn about

- Second chapter is hard to follow (1 comments): "First chapter on type theory is great and pretty easy to follow. The second chapter, I got completely lost." ([source](https://news.ycombinator.com/item?id=49282048))

## Alternatives hackers recommend

- [Algorithms for Optimization by Kochenderfer and Wheeler](https://hackerapproved.com/p/algorithms-for-optimization.md): 10 recommend
- [Mathematics for Computer Science by Lehman, Leighton and Meyer](https://hackerapproved.com/p/mathematics-for-computer-science.md): 8 recommend
- [Numerical Recipes by Press et al.](https://hackerapproved.com/p/numerical-recipes.md): 7 recommend
- [Concrete Mathematics by Graham, Knuth and Patashnik](https://hackerapproved.com/p/concrete-mathematics.md): 7 recommend
- [Start Doing Graph Theory by Sam Burns](https://hackerapproved.com/p/start-doing-graph-theory.md): 7 recommend

## Where to get it

- [See price on Amazon](https://www.amazon.com/s?k=Homotopy+Type+Theory+by+the+Univalent+Foundations+Program&tag=hackerapprove-20) (affiliate link)

## Cite as

Hacker Approved, "Homotopy Type Theory by the Univalent Foundations Program", https://hackerapproved.com/p/homotopy-type-theory/ (counts from 1,795,640 Hacker News comments, November 2025 to November 2026).