{"title":"立方体集合，一个单值和意指的全域以及命题大小调整的失败","authors":"Taichi Uemura","doi":"10.4230/LIPIcs.TYPES.2018.7","DOIUrl":null,"url":null,"abstract":"We construct a model of cubical type theory with a univalent and impredicative universe in a category of cubical assemblies. We show that this impredicative universe in the cubical assembly model does not satisfy a form of propositional resizing.","PeriodicalId":131421,"journal":{"name":"Types for Proofs and Programs","volume":"7 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2018-03-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"11","resultStr":"{\"title\":\"Cubical Assemblies, a Univalent and Impredicative Universe and a Failure of Propositional Resizing\",\"authors\":\"Taichi Uemura\",\"doi\":\"10.4230/LIPIcs.TYPES.2018.7\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We construct a model of cubical type theory with a univalent and impredicative universe in a category of cubical assemblies. We show that this impredicative universe in the cubical assembly model does not satisfy a form of propositional resizing.\",\"PeriodicalId\":131421,\"journal\":{\"name\":\"Types for Proofs and Programs\",\"volume\":\"7 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2018-03-18\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"11\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Types for Proofs and Programs\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.4230/LIPIcs.TYPES.2018.7\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Types for Proofs and Programs","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.4230/LIPIcs.TYPES.2018.7","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Cubical Assemblies, a Univalent and Impredicative Universe and a Failure of Propositional Resizing
We construct a model of cubical type theory with a univalent and impredicative universe in a category of cubical assemblies. We show that this impredicative universe in the cubical assembly model does not satisfy a form of propositional resizing.
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