@InProceedings{uemura:LIPIcs.TYPES.2018.7, author = {Uemura, Taichi}, title = {{Cubical Assemblies, a Univalent and Impredicative Universe and a Failure of Propositional Resizing}}, booktitle = {24th International Conference on Types for Proofs and Programs (TYPES 2018)}, pages = {7:1--7:20}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-95977-106-1}, ISSN = {1868-8969}, year = {2019}, volume = {130}, editor = {Dybjer, Peter and Esp{\'\i}rito Santo, Jos\'{e} and Pinto, Lu{\'\i}s}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.TYPES.2018.7}, URN = {urn:nbn:de:0030-drops-114118}, doi = {10.4230/LIPIcs.TYPES.2018.7}, annote = {Keywords: Cubical type theory, Realizability, Impredicative universe, Univalence, Propositional resizing} }