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arXiv · 2005.14240

A class of higher inductive types in Zermelo-Fraenkel set theory

Andrew Swan
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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.

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Andrew Swan. 2020-05-28. A class of higher inductive types in Zermelo-Fraenkel set theory. https://doi.org/10.1002/malq.202100040

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