cubicaltt
Experimental implementation of Cubical Type Theory (by mortberg)
TypeTopology
Logical manifestations of topological concepts, and other things, via the univalent point of view. (by martinescardo)
| cubicaltt | TypeTopology | |
|---|---|---|
| 3 | 1 | |
| 557 | 212 | |
| - | - | |
| 2.3 | 9.8 | |
| 8 months ago | 6 days 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.
TypeTopology
Posts with mentions or reviews of TypeTopology.
We have used some of these posts to build our list of alternatives
and similar projects. The last one was on 2023-06-13.
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Are There People Doing Formal Math In Berlin?
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 cubicaltt and TypeTopology you can also consider the following projects:
Coq-HoTT - A Coq library for Homotopy Type Theory
Agda - Agda formalisation of the Introduction to Homotopy Type Theory
cooltt - 😎TT
UniMath - This coq library aims to formalize a substantial body of mathematics using the univalent point of view.
jasmin - Language for high-assurance and high-speed cryptography
karamel - KaRaMeL is a tool for extracting low-level F* programs to readable C code
mathlib4 - The math library of Lean 4
sml-redprl - The People's Refinement Logic
agda-stdlib - The Agda standard library
anders - 🧊 Модальний гомотопічний верифікатор математики
template-agda - An Agda template, configured for Gitpod (www.gitpod.io) to give you pre-built, ephemeral development environments in the cloud.