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Free Higher Groups in Homotopy Type Theory (2018)
Conference Proceeding
Kraus, N., & Altenkirch, T. (2018). Free Higher Groups in Homotopy Type Theory. In LICS '18: Proceedings of the 33rd Annual ACM/IEEE Symposium on Logic in Computer Science (599-608). https://doi.org/10.1145/3209108.3209183

© 2018 ACM. Given a type A in homotopy type theory (HoTT), we can define the free∞-group onA as the loop space of the suspension ofA+1. Equivalently, this free higher group can be defined as a higher inductive type F(A) with constructors unit : F(A),... Read More about Free Higher Groups in Homotopy Type Theory.