Theoretical Computer Science for the Working Category Theorist
Logic in Computer Science
2017-10-10 v1 Computational Complexity
Category Theory
Abstract
Theoretical computer science discusses foundational issues about computations. It asks and answers questions such as "What is a computation?", "What is computable?", "What is efficiently computable?","What is information?", "What is random?", "What is an algorithm?", etc. We will present many of the major themes and theorems with the basic language of category theory. Surprisingly, many interesting theorems and concepts of theoretical computer science are easy consequences of functoriality and composition when you look at the right categories and functors connecting them.
Cite
@article{arxiv.1710.03090,
title = {Theoretical Computer Science for the Working Category Theorist},
author = {Noson S. Yanofsky},
journal= {arXiv preprint arXiv:1710.03090},
year = {2017}
}
Comments
47 pages