Types for Proofs and Programs

On Relating Type Theories and Set Theories.- Communication Modelling and Context-Dependent Interpretation: An Integrated Approach.- Gröbner Bases in Type Theory.- A Modal Lambda Calculus with Iteration and Case Constructs.- Proof Normalization Modulo.- Proof of Imperative Programs in Type Theory.- An Interpretation of the Fan Theorem in Type Theory.- Conjunctive Types and SKInT.- Modular Structures as Dependent Types in Isabelle.- Metatheory of Verification Calculi in LEGO.- Bounded Polymorphism for Extensible Objects.- About Effective Quotients in Constructive Type Theory.- Algorithms for Equality and Unification in the Presence of Notational Definitions.- A Preview of the Basic Picture: A New Perspective on Formal Topology.

Includes supplementary material: sn.pub/extras