HoTT VS cubical

Compare HoTT vs cubical and see what are their differences.

cubical

An experimental library for Cubical Agda (by agda)
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HoTT cubical
2 2
1,032 270
1.3% 2.2%
9.4 9.4
6 days ago 5 days ago
Coq Agda
GNU General Public License v3.0 or later MIT License
The number of mentions indicates the total number of mentions that we've tracked plus the number of user suggested alternatives.
Stars - the number of stars that a project has on GitHub. Growth - month over month growth in stars.
Activity is a relative number indicating how actively a project is being developed. Recent commits have higher weight than older ones.
For example, an activity of 9.0 indicates that a project is amongst the top 10% of the most actively developed projects that we are tracking.

HoTT

Posts with mentions or reviews of HoTT. We have used some of these posts to build our list of alternatives and similar projects. The last one was on 2021-06-23.

cubical

Posts with mentions or reviews of cubical. We have used some of these posts to build our list of alternatives and similar projects. The last one was on 2021-06-23.
  • Homotopy Type Theory
    3 projects | news.ycombinator.com | 23 Jun 2021
  • Cubical Type Theory?
    2 projects | reddit.com/r/dependent_types | 11 Feb 2021
    In the case of transpension, it seems like one of the uses is proving something about a path in inductive types by cases on an abstract point along that path. For instance, right now, the way that you prove that a path in A + B is either a path in A or a path in B is to define a family by cases and then transport like here. But I think transpension might let you just do cases on a formal intermediate point directly, which would be much simpler.

What are some alternatives?

When comparing HoTT and cubical you can also consider the following projects:

lean - Lean Theorem Prover