On categorical models of dependent types via locally Cartesian closed categories:
On synthetic Tait computability theory:
Jonathan Sterling, First Steps in Synthetic Tait Computability: The Objective Metatheory of Cubical Type Theory (2021) [PhD thesis]
Jonathan Sterling, Naïve logical relations in synthetic Tait computability (2022) [pdf]
On XTT:
Jonathan Sterling, Carlo Angiuli, Daniel Gratzer, Cubical syntax for reflection-free extensional equality. In Herman Geuvers, editor, 4th International Conference on Formal Structures for Computation and Deduction (FSCD 2019), volume 131 of Leibniz International Proceedings in Informatics (LIPIcs), pages 31:1-31:25. (arXiv:1904.08562, doi:10.4230/LIPIcs.FCSD.2019.31)
Jonathan Sterling, Carlo Angiuli, Daniel Gratzer, A Cubical Language for Bishop Sets, Logical Methods in Computer Science, 18 (1), 2022. (arXiv:2003.01491).
Last revised on February 19, 2025 at 23:15:40. See the history of this page for a list of all contributions to it.