A class of higher inductive types in Zermelo‐Fraenkel set theory
Abstract
We define a class of higher inductive types that can be constructed in the category of sets under the assumptions of Zermelo‐Fraenkel set theory without the axiom of choice or the existence of uncountable regular cardinals. This class includes the example of unordered trees of any arity.
Document Details
- Document Type
- Pub Defense Publication
- Publication Date
- Jan 21, 2022
- Source ID
- 10.1002/malq.202100040
Entities
People
- Andrew Swan
Organizations
- Air Force Office of Scientific Research
- Carnegie Mellon University