English

Algebraic Type Theory, Part 1: Martin-L\"of algebras

Category Theory 2025-05-19 v1 Logic

Abstract

A new algebraic treatment of dependent type theory is proposed using ideas derived from topos theory and algebraic set theory.

Keywords

Cite

@article{arxiv.2505.10761,
  title  = {Algebraic Type Theory, Part 1: Martin-L\"of algebras},
  author = {Steve Awodey},
  journal= {arXiv preprint arXiv:2505.10761},
  year   = {2025}
}

Comments

In memory of Phil Scott, friend and mentor