The Integers as a Higher Inductive Type
(2020)
Conference Proceeding
Altenkirch, T., & Scoccola, L. (2020). The Integers as a Higher Inductive Type. In LICS '20: Proceedings of the 35th Annual ACM/IEEE Symposium on Logic in Computer Science (67-73). https://doi.org/10.1145/3373718.3394760
We consider the problem of defining the integers in Homotopy Type Theory (HoTT). We can define the type of integers as signed natural numbers (i.e., using a coproduct), but its induction principle is very inconvenient to work with, since it leads to... Read More about The Integers as a Higher Inductive Type.