Constructions with non-recursive higher inductive typesTools Kraus, Nicolai (2016) Constructions with non-recursive higher inductive types. In: Thirty-First Annual ACM/IEEE Symposium on Logic in Computer Science (LICS), July 5–8, 2016, New York City, USA. (In Press) Full text not available from this repository.AbstractHigher inductive types (HITs) in homotopy type theory are a powerful generalization of inductive types. Not only can they have ordinary constructors to define elements, but also higher constructors to define equalities (paths). We say that a HIT H is non-recursive if its constructors do not quantify over elements or paths in H. The advantage of non-recursive HITs is that their elimination principles are easier to apply than those of general HITs.
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