This document presents the syntax, classification rules, realizability semantics, and soundness theorem for Cedille, an extrinsic (i.e., Curry-style) type theory extending the Calculus of Constructions, and designed for deriving of inductive datatypes, with their induction principles.

翻译：本文件介绍Cedille的语法、分类规则、可变性语义和健全性理论。 Cedille是一种外型(即咖喱式)理论,扩展建筑的计算法,旨在产生感性数据类型,及其引导原则。