Univalent Foundations and the UniMath Library

Abstract

We give a concise presentation of the Univalent Foundations of mathematics underlining the main ideas (section 1), followed by a discussion of the large-scale UniMath library of formalized mathematics implementing the ideas of the Univalent Foundations, and the challenges one faces in designing such a library (section 2). This leads us to a general discussion about the links between architecture and mathematics where a meeting of minds is revealed between architects and mathematicians (section 3). On the way our odyssey from foundations to the “horizon” of mathematics will lead us to meet the mathematicians David Hilbert and Nicolas Bourbaki as well as the architect Christopher Alexander.

Cite this paper

@article{Bordg2017UnivalentFA, title={Univalent Foundations and the UniMath Library}, author={Anthony Bordg}, journal={CoRR}, year={2017}, volume={abs/1710.02723} }