cubicaltt
Experimental implementation of Cubical Type Theory (by mortberg)
Agda
Agda formalisation of the Introduction to Homotopy Type Theory (by HoTT-Intro)
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| cubicaltt | Agda | |
|---|---|---|
| 3 | 1 | |
| 556 | 116 | |
| - | 0.0% | |
| 2.3 | 0.0 | |
| 7 months ago | over 2 years ago | |
| Haskell | Agda | |
| MIT License | GNU General Public License v3.0 only |
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.
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.
cubicaltt
Posts with mentions or reviews of cubicaltt.
We have used some of these posts to build our list of alternatives
and similar projects. The last one was on 2022-11-15.
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Let's collect relatively new research programming languages in this thread
- cubicialtt a programming language based on cubical type theory in which univalence from homotopy type theory isn't an axiom but a theorem
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How and where to learn the latest mathematical concepts?
If you’re interested in programming languages specifically, the current state of the art is called Cubical Type Theory. CuTT has lots of flavours and the community hasn’t coalesced around a single design. The paper I personally found easiest to digest was the “ABCFHL” paper, but I’d recommend reading it alongside the original CCHM paper. None of the publications made an ounce of sense to me until after I’d digested Favonia’s YouTube channel, Mortberg’s lecture notes and this other series of lectures from Harper (particularly the final one).
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Plato’s Cave Found in Mathematics
I updated the blog post to include some people in academia who contributed. I've been interacting with Kent Palmer and Sylvester James Gates, Jr. The latter held lectures about the philosophy of mathematics. I've been using work inspired by Vladimir Voevodsky, e.g. cubicaltt (https://github.com/mortberg/cubicaltt), which is also performed by academics.
Agda
Posts with mentions or reviews of Agda.
We have used some of these posts to build our list of alternatives
and similar projects.
What are some alternatives?
When comparing cubicaltt and Agda you can also consider the following projects:
Coq-HoTT - A Coq library for Homotopy Type Theory
agdarsec - Total Parser Combinators in Agda
cooltt - 😎TT
jasmin - Language for high-assurance and high-speed cryptography
agda-life - Conway's Game of Life in Agda.
anders - 🧊 Модальний гомотопічний верифікатор математики
agda-stdlib - The Agda standard library
sml-redprl - The People's Refinement Logic
template-agda - An Agda template, configured for Gitpod (www.gitpod.io) to give you pre-built, ephemeral development environments in the cloud.
karamel - KaRaMeL is a tool for extracting low-level F* programs to readable C code
TypeTopology - Logical manifestations of topological concepts, and other things, via the univalent point of view.