smlredprl
The People's Refinement Logic (by RedPRL)
cubicaltt
Experimental implementation of Cubical Type Theory (by mortberg)
smlredprl  cubicaltt  

1  3  
225  566  
    
10.0  2.3  
over 1 year ago  10 months ago  
Standard ML  Haskell  
MIT License  MIT License 
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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.
smlredprl
Posts with mentions or reviews of smlredprl.
We have used some of these posts to build our list of alternatives
and similar projects.
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 20221115.

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

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).

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.
What are some alternatives?
When comparing smlredprl and cubicaltt you can also consider the following projects:
redtt  "Between the darkness and the dawn, a red cube rises!": a proof assistant for cartesian cubical type theory
CoqHoTT  A Coq library for Homotopy Type Theory