nLab Paige Randall North

• website

Selected writings

• Niyousha Najmaei, Niels van der Weide, Benedikt Ahrens, Paige Randall North, A Type Theory for Comprehension Categories with Applications to Subtyping (arXiv:2503.10868)

• Benedikt Ahrens, Paige Randall North, Niels van der Weide, Semantics for two-dimensional type theory, LICS ‘22: Proceedings of the 37th Annual ACM/IEEE Symposium on Logic in Computer Science, August 2022, No. 12, Pages 1–14, (doi:10.1145/3531130.3533334)

• Benedikt Ahrens, Paige Randall North, Michael Shulman, Dimitris Tsementzis, The Univalence Principle (arXiv:2102.06275)

On univalence and the structure identity principle:

• Benedikt Ahrens, Paige Randall North, Univalent foundations and the equivalence principle, in: Reflections on the Foundations of Mathematics, Synthese Library 407 Springer (2019) [arXiv:2202.01892, doi:10.1007/978-3-030-15655-8]

• Benedikt Ahrens, Paige Randall North, Michael Shulman, Dimitris Tsementzis, The Univalence Principle [abs:2102.06275]

On 2-dimensional type theory:

• Benedikt Ahrens, Paige Randall North, Niels van der Weide, Semantics for two-dimensional type theory, LICS ‘22: Proceedings of the 37th Annual ACM/IEEE Symposium on Logic in Computer Science, 12 (2022) 1–14, [doi:10.1145/3531130.3533334]

An internal language for comprehension categories is developed in:

• Niyousha Najmaei, Niels van der Weide, Benedikt Ahrens, Paige Randall North, A Type Theory for Comprehension Categories with Applications to Subtyping (arXiv:2503.10868)

category: people