English

Two-dimensional models of type theory

Logic 2011-10-17 v2 Category Theory

Abstract

We describe a non-extensional variant of Martin-L\"of type theory which we call two-dimensional type theory, and equip it with a sound and complete semantics valued in 2-categories.

Cite

@article{arxiv.0808.2122,
  title  = {Two-dimensional models of type theory},
  author = {Richard Garner},
  journal= {arXiv preprint arXiv:0808.2122},
  year   = {2011}
}

Comments

46 pages; v2: final journal version

R2 v1 2026-06-21T11:10:40.231Z