Homotopy Type Theory Higher-Dimensional Types in the Mechanization of Homotopy Theory > history (Rev #1)

Higher-Dimensional Types in the Mechanization of Homotopy Theory, Kuen-Bang Hou (Favonia), Ph. D. Thesis 2017


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.

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category: reference

Revision on February 14, 2019 at 08:39:12 by Ali Caglayan. See the history of this page for a list of all contributions to it.