幸运飞艇计划7码计算器

Skip to main content
PRL Project

Formalization of Cubical Type Theory in Nuprl

by Mark Bickford
2020


We report on the results of a two year project to formalize the semantics of cubical type theory in Nuprl. We were able to interpret cubical type theory (without higher inductive types) in Nuprl's extensional constructive type theory, thus verifying that a univalent higher dimensional type theory can be given a purely constructive interpretation.The univalence axiom is provable in cubical type theory from the rules for the Glue type. Verifying the rules for the Glue type led to the largest proofs ever done in Nuprl. We also began an investigation into how to relate synthetic higher dimensional type theory with constructive analysis and discovered that the intuitionistic theory of analysis (using the FAN theorem and the continuity principle) makes building a connection between the two theories much easier.

二分飞艇计划预测 精准免费的幸运飞艇神计划计划 飞艇1期计划 幸运飞艇开奖结果纪录完整版 幸运飞艇属于福彩不属于 幸运飞艇定位胆可以买几个数字 五码两期飞艇免费计划 幸运飞艇3把必中 幸运飞艇是哪国的 幸运飞艇怎么样跟计划稳赚 幸运飞艇【上恒达集团~HD161。COM~平台】 幸运飞艇【上恒达集团~HD161。COM~平台】 幸运飞艇【上恒达集团~HD161。COM~平台】 澳门百家乐【上恒达集团~HD161。COM~平台】 澳门百家乐【上恒达集团~HD161。COM~平台】 澳门百家乐【上恒达集团~HD161。COM~平台】 六合彩公司【上恒达集团~HD161。COM~平台】