Algorithm and abstraction in formal mathematics
arXiv:2405.04699
Abstract
I analyse differences in style between traditional prose mathematics writing and computer-formalised mathematics writing, presenting five case studies. I note two aspects where good style seems to differ between the two: in their incorporation of computation and of abstraction. I argue that this reflects a different mathematical aesthetic for formalised mathematics.
14 pages, 2 figures; extended abstract for an invited lecture at the 2024 International Congress on Mathematical Software