Giter Site home page Giter Site logo

cubical's Introduction

A standard library for Cubical Agda

The source code has a glorious clickable rendered version.

There is also a discord server, shared with agda-unimath and the 1lab.

Compiling, using and installing

This library checks with Agda version indicated in the table below. For detailed install instructions see the INSTALL file. If you want to use some specific release of Agda, the following table lists which releases of Agda you can use with which release of this library. Agda versions as written below, correspond to tags.

cubical library version Agda versions
current master v2.6.4 v2.6.4.1 v2.6.4.3
v0.7 v2.6.4 v2.6.4.1
v0.6 v2.6.4
v0.5 v2.6.3 v2.6.4
v0.4 v2.6.2.2
v0.3 v2.6.2
v0.2 v2.6.1.3
v0.1 v2.6.0.1

For example, if you have Agda 2.6.2.2, you can switch to version 0.4 of the cubical library with

git checkout v0.4

Learning materials

Theoretical background

For a paper with details about Cubical Agda, see Cubical Agda: a dependently typed programming language with univalence and higher inductive types by Andrea Vezzosi, Anders Mörtberg, and Andreas Abel.

The type theory that Cubical Agda implements is a variation of the cubical type theory of:

Cubical Type Theory: a constructive interpretation of the univalence axiom - Cyril Cohen, Thierry Coquand, Simon Huber, Anders Mörtberg.

The key difference is that the Kan composition operations are decomposed into homogeneous composition and generalized transport as in:

On Higher Inductive Types in Cubical Type Theory - Thierry Coquand, Simon Huber, Anders Mörtberg.

This makes it possible to directly represent higher inductive types.

Reviewing of pull requests

If you switch your draft pull request (PR) to 'ready to merge', or directly create an open PR, we should request a review, by one of the reviewers below. If that doesn't happen, you can also request a reviewer yourself (for reviewer expertise see below), to make us aware of the open PR. Feel free to use Discord to get in touch with a reviewer in case reviewing is taking a very long time.

Reviewer github handle Area of expertise Queue
Anders Mörtberg mortberg Most topics link
Evan Cavallo ecavallo Most topics link
Felix Cherubini felixwellen Mainly algebra related topics link
Max Zeuner mzeuner Algebra related topics link
Axel Ljungström aljungstrom Synthetic homotopy theory and cohomology link
Andrea Vezzosi Saizan Inactive link

Overview of the current open PRs, descending time since last action.

Build Status

cubical's People

Contributors

3abc avatar aljungstrom avatar andreasabel avatar anuyts avatar awswan avatar barrettj12 avatar dan-iel-lee avatar dolio avatar ecavallo avatar fabianmasato avatar felixwellen avatar guilhermehas avatar ice1000 avatar jonsterling avatar jpoiret avatar kangrongji avatar l-tchen avatar luubluum avatar m-yac avatar marcinjangrzybowski avatar matthiashu avatar mortberg avatar mzeuner avatar oisdk avatar phadej avatar riaqn avatar rotsor avatar saizan avatar thomas-lamiaux avatar worldsender avatar

Recommend Projects

  • React photo React

    A declarative, efficient, and flexible JavaScript library for building user interfaces.

  • Vue.js photo Vue.js

    🖖 Vue.js is a progressive, incrementally-adoptable JavaScript framework for building UI on the web.

  • Typescript photo Typescript

    TypeScript is a superset of JavaScript that compiles to clean JavaScript output.

  • TensorFlow photo TensorFlow

    An Open Source Machine Learning Framework for Everyone

  • Django photo Django

    The Web framework for perfectionists with deadlines.

  • D3 photo D3

    Bring data to life with SVG, Canvas and HTML. 📊📈🎉

Recommend Topics

  • javascript

    JavaScript (JS) is a lightweight interpreted programming language with first-class functions.

  • web

    Some thing interesting about web. New door for the world.

  • server

    A server is a program made to process requests and deliver data to clients.

  • Machine learning

    Machine learning is a way of modeling and interpreting data that allows a piece of software to respond intelligently.

  • Game

    Some thing interesting about game, make everyone happy.

Recommend Org

  • Facebook photo Facebook

    We are working to build community through open source technology. NB: members must have two-factor auth.

  • Microsoft photo Microsoft

    Open source projects and samples from Microsoft.

  • Google photo Google

    Google ❤️ Open Source for everyone.

  • D3 photo D3

    Data-Driven Documents codes.