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TYPES
2000
Springer
15 years 8 months ago
Formalizing the Halting Problem in a Constructive Type Theory
We present a formalization of the halting problem in Agda, a language based on Martin-L
Kristofer Johannisson
BSL
2002
113views more  BSL 2002»
15 years 4 months ago
Types in logic and mathematics before 1940
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
Fairouz Kamareddine, Twan Laan, Rob Nederpelt
ICFP
2001
ACM
16 years 4 months ago
A Dependently Typed Assembly Language
We present a dependently typed assembly language (DTAL) in which the type system supports the use of a restricted form of dependent types, reaping some benefits of dependent types...
Hongwei Xi, Robert Harper
TPHOL
2009
IEEE
15 years 11 months ago
A Brief Overview of Agda - A Functional Language with Dependent Types
Abstract. We give an overview of Agda, the latest in a series of dependently typed programming languages developed in Gothenburg. Agda is based on Martin-L¨of’s intuitionistic t...
Ana Bove, Peter Dybjer, Ulf Norell
AISC
1992
Springer
15 years 8 months ago
A Type-Coercion Problem in Computer Algebra
Abstract. An important feature of modern computer algebra systems is the support of a rich type system with the possibility of type inference. Basic features of such a type system ...
Andreas Weber