English

What is Applied Category Theory?

Category Theory 2018-10-05 v2

Abstract

This is a collection of introductory, expository notes on applied category theory, inspired by the 2018 Applied Category Theory Workshop, and in these notes we take a leisurely stroll through two themes (functorial semantics and compositionality), two constructions (monoidal categories and decorated cospans) and two examples (chemical reaction networks and natural language processing) within the field.

Keywords

Cite

@article{arxiv.1809.05923,
  title  = {What is Applied Category Theory?},
  author = {Tai-Danae Bradley},
  journal= {arXiv preprint arXiv:1809.05923},
  year   = {2018}
}

Comments

50 pages, 49 figures; in v2: corrected typos & figure p. 38

R2 v1 2026-06-23T04:07:58.837Z