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» Interactive Programs in Dependent Type Theory
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TPHOL
2009
IEEE
13 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
CIE
2008
Springer
13 years 6 months ago
Recursion on Nested Datatypes in Dependent Type Theory
Nested datatypes are families of datatypes that are indexed over all types and where the datatype constructors relate different members of the family. This may be used to represent...
Ralph Matthes
ICFP
2008
ACM
14 years 4 months ago
Ynot: dependent types for imperative programs
We describe an axiomatic extension to the Coq proof assistant, that supports writing, reasoning about, and extracting higher-order, dependently-typed programs with side-effects. C...
Aleksandar Nanevski, Greg Morrisett, Avraham Shinn...
ESOP
2008
Springer
13 years 6 months ago
A Realizability Model for Impredicative Hoare Type Theory
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...
POPL
2010
ACM
14 years 2 months ago
Dependent types and program equivalence
The definition of type equivalence is one of the most important design issues for any typed language. In dependentlytyped languages, because terms appear in types, this definition...
Jianzhou Zhao, Limin Jia, Stephanie Weirich, Vilhe...