Collection Principles in Dependent Type Theory -- Executing Higher Order Logic -- A Tour with Constructive Real Numbers -- An Implementation of Type:Type -- On the Logical Content of Computational Type Theory: A Solution to Curry’s Problem -- Constructive Reals in Coq: Axioms and Categoricity -- A Constructive Proof of the Fundamental Theorem of Algebra without Using the Rationals -- A Kripke-Style Model for the Admissibility of Structural Rules -- Towards Limit Computable Mathematics -- Formalizing the Halting Problem in a Constructive Type Theory -- On the Proofs of Some Formally Unprovable Propositions and Prototype Proofs in Type Theory -- Changing Data Structures in Type Theory: A Study of Natural Numbers -- Elimination with a Motive -- Generalization in Type Theory Based Proof Assistants -- An Inductive Version of Nash-Williams’ Minimal-Bad-Sequence Argument for Higman’s Lemma.

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