This library compiles with the latest official release of Agda. For detailed install instructions see the INSTALL file.
The source code has a glorious clickable rendered version.
If you want to use Agda 2.6.2 instead of the latest release version, you
can check out the tag v0.3 of this library.
If you want to use Agda 2.6.1.3 instead of the latest release version, you
can check out the tag v0.2 of this library.
If you want to use Agda 2.6.0.1 instead of the latest release version, you
can check out the tag v0.1 of this library.
For some introductory lecture notes see the material for the Cubical Agda course of the EPIT 2021 spring school.
For a paper on 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.
For an introduction to this library, see this blog post. Note that many files and results have moved since this blog post was written.
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.
