cubical

An experimental library for Cubical Agda (by agda)

Cubical Alternatives

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NOTE: The number of mentions on this list indicates mentions on common posts plus user suggested alternatives. Hence, a higher number means a better cubical alternative or higher similarity.

cubical reviews and mentions

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.
  • A note from our sponsor - WorkOS
    workos.com | 23 Apr 2024
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Stats

Basic cubical repo stats
3
420
8.6
5 days ago

agda/cubical is an open source project licensed under GNU General Public License v3.0 or later which is an OSI approved license.

The primary programming language of cubical is Agda.


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