https://arxiv.org/abs/2512.17548v1
Yet another cubical type theory, but via a semantic approach
We propose a new cubical type theory, termed (self-deprecatingly) the naive cubical type theory, and study its semantics using the universe category framework, which is similar to Uemura's categories with representable morphisms. In particular, we show that this new type theory admits an interpretation in a wide variety of settings, including simplicial sets and cartesian cubical sets.
Here you maybe can read the paper in mobile friendly way
Yet another cubical type theory, but via a semantic approach
We propose a new cubical type theory, termed (self-deprecatingly) the naive cubical type theory, and study its semantics using the universe category framework, which is similar to Uemura's categories with representable morphisms. In particular, we show that this new type theory admits an interpretation in a wide variety of settings, including simplicial sets and cartesian cubical sets.
Here you maybe can read the paper in mobile friendly way