Higher-Dimensional Types in the Mechanization of Homotopy Theory, Kuen-Bang Hou (Favonia), Ph. D. Thesis 2017, pdf
Mechanized reasoning has proved effective in avoiding serious mistakes in software and hardware, and yet remains unpopular in the practice of mathematics. My thesis is aimed at making mechanization easier so that more mathematicians can benefit from this technology. Particularly, I experimented with higher-dimensional types, an extension of ordinary types with a hierarchy of stacked relations, and managed to mechanize many important results from classical homotopy theory in the proof assistant Agda. My work thus suggests higher-dimensional types may help mechanize mathematical concepts.
Created on June 9, 2022 at 17:51:13. See the history of this page for a list of all contributions to it.