cubical VS UniMath

Compare cubical vs UniMath and see what are their differences.

UniMath

This coq library aims to formalize a substantial body of mathematics using the univalent point of view. (by UniMath)
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cubical UniMath
3 2
421 910
2.4% 1.1%
8.5 9.5
4 days ago 16 days ago
Agda Coq
GNU General Public License v3.0 or later GNU General Public License v3.0 or later
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.

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 2023-06-30.
  • Will Computers Redefine the Roots of Math?
    6 projects | news.ycombinator.com | 30 Jun 2023
    For those interested in formalisation of homotopy type theory, there are several (more or less) active and developed libraries. To mention a few:

    UniMath (https://github.com/UniMath/UniMath, mentioned in the article)

    Coq-HoTT (https://github.com/HoTT/Coq-HoTT)

    agda-unimath (https://unimath.github.io/agda-unimath/)

    cubical agda (https://github.com/agda/cubical)

    All of these are open to contributions, and there are lots of useful basic things that haven't been done and which I think would make excellent semester projects for a cs/math undergrad (for example).

  • Homotopy Type Theory
    3 projects | news.ycombinator.com | 23 Jun 2021
  • Cubical Type Theory?
    2 projects | /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.

UniMath

Posts with mentions or reviews of UniMath. We have used some of these posts to build our list of alternatives and similar projects. The last one was on 2023-06-30.
  • Will Computers Redefine the Roots of Math?
    6 projects | news.ycombinator.com | 30 Jun 2023
    For those interested in formalisation of homotopy type theory, there are several (more or less) active and developed libraries. To mention a few:

    UniMath (https://github.com/UniMath/UniMath, mentioned in the article)

    Coq-HoTT (https://github.com/HoTT/Coq-HoTT)

    agda-unimath (https://unimath.github.io/agda-unimath/)

    cubical agda (https://github.com/agda/cubical)

    All of these are open to contributions, and there are lots of useful basic things that haven't been done and which I think would make excellent semester projects for a cs/math undergrad (for example).

  • Are There People Doing Formal Math In Berlin?
    3 projects | /r/berlinsocialclub | 13 Jun 2023
    I just wonder if there are any irl meetups of people involved with formalizing mathematics, I thought that it would be a cool hobby to pick up (with some background in math and programming) but the existing libraries, like MathLib, TypeTopology or UniMath look a bit intimidating...

What are some alternatives?

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

Coq-HoTT - A Coq library for Homotopy Type Theory

analysis - Mathematical Components compliant Analysis Library