English

A Toolkit for Structured Lifts

Category Theory 2025-12-18 v1 Logic in Computer Science

Abstract

We develop a general framework for working with structured lifting problems, establishing closure and uniqueness properties of their solutions. In a subsequent paper, we apply these results to axiomatize computation rules of cubical type theory.

Keywords

Cite

@article{arxiv.2512.14988,
  title  = {A Toolkit for Structured Lifts},
  author = {Chris Kapulkin and Yufeng Li},
  journal= {arXiv preprint arXiv:2512.14988},
  year   = {2025}
}

Comments

33 pages; comments very welcome

R2 v1 2026-07-01T08:28:23.238Z