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Pure type system
Introduction to the Calculus of Inductive Constructions Christine Paulin-Mohring
Proof-Assistants Using Dependent Type Systems
A Calculus of Constructions with Explicit Subtyping Ali Assaf
Type Theory and Applications
Equality Is Typable in Semi-Full Pure Type Systems
Investigation on the Typing of Equality in Type Systems Vincent Siles
A Type System for Certified Runtime Type Analysis
Notes: Barendregt's Cube and Programming with Dependent Types
Basics of Type Theory and Coq
Interactive Theorem Proving in Coq and the Curry-Howard Isomorphism
Explicit Convertibility Proofs in Pure Type Systems
Logics and Type Systems
Pure Type Systems Without Explicit Contexts
Formal Verification of the Equivalence of System F and the Pure Type
A Calculus of Constructions with Explicit Subtyping Ali Assaf
Strong Normalization for the Calculus of Constructions
Curry-Howard Isomorphism
A Notion of Classical Pure Type System (Preliminary Version)
Top View
A Correspondence Between Nuprl and the Ramified Theory of Types
An Implementation of Homotopy Type Theory in Isabelle/Pure
Lecture Notes on Types for Part II of the Computer Science Tripos
Pure Type System Conversion Is Always Typable
Realizability and Parametricty in Pure Type Systems
The Calculus of Inductive Constructions
Domain-Free Pure Type Systems
The Structural Theory of Pure Type Systems
Introduction to Dependent Type Theory (3/4) Matthieu Sozeau, Inria Paris & IRIF, University Paris 7
Types, Categories & Logic
Pure Type Systems with Definitions
Elaborating Inductive Definitions in Curry-Style Polymorphic Type Theory
Extending Type Theory with Syntactic Models Simon Pierre Boulier
An Overview of Type Theories
Realizability and Parametricity in Pure Type Systems