English

A Coherence Construction for the Propositional Universe

Logic in Computer Science 2024-05-24 v1

Abstract

We record a particularly simple construction on top of Lumsdaine's local universes that allows for a Coquand-style universe of propositions with propositional extensionality to be interpreted in a category with subobject classifiers.

Keywords

Cite

@article{arxiv.2405.13435,
  title  = {A Coherence Construction for the Propositional Universe},
  author = {Xu Huang},
  journal= {arXiv preprint arXiv:2405.13435},
  year   = {2024}
}

Comments

5 pages

R2 v1 2026-06-28T16:35:22.142Z