Dependent types provide a strong foundation for specifying and verifying rich properties of programs through type-checking. The earliest implementations combined dependency, which...
We present a denotational model of impredicative Hoare Type Theory, a very expressive dependent type theory in which one can and reason about mutable abstract data types. The model...
Rasmus Lerchedahl Petersen, Lars Birkedal, Aleksan...
Abstract. In this article, we study the prehistory of type theory up to 1910 and its development between Russell and Whitehead's Principia Mathematica ([71], 1910
We discuss the work of Paul Cohen in set theory and its influence, especially the background, discovery, development of forcing. Paul Joseph Cohen (1934