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» An Introduction to Dependent Type Theory
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HASKELL
2005
ACM
14 years 1 months ago
Verifying haskell programs using constructive type theory
Proof assistants based on dependent type theory are closely related to functional programming languages, and so it is tempting to use them to prove the correctness of functional p...
Andreas Abel, Marcin Benke, Ana Bove, John Hughes,...
ITP
2010
172views Mathematics» more  ITP 2010»
13 years 11 months ago
Equations: A Dependent Pattern-Matching Compiler
Abstract. We present a compiler for definitions made by pattern matching on inductive families in the Coq system. It allows to write structured, recursive dependently-typed functi...
Matthieu Sozeau
LICS
2002
IEEE
14 years 12 days ago
Computational Adequacy for Recursive Types in Models of Intuitionistic Set Theory
This paper provides a unifying axiomatic account of the interpretation of recursive types that incorporates both domain-theoretic and realizability models as concrete instances. O...
Alex K. Simpson
ENTCS
2007
102views more  ENTCS 2007»
13 years 7 months ago
Encoding Functional Relations in Scunak
We describe how a set-theoretic foundation for mathematics can be encoded in the new system Scunak. We then discuss an encoding of the construction of functions as functional relat...
Chad E. Brown
HASKELL
2008
ACM
13 years 8 months ago
Language and program design for functional dependencies
Eight years ago, functional dependencies, a concept from the theory of relational databases, were proposed as a mechanism for avoiding common problems with multiple parameter type...
Mark P. Jones, Iavor S. Diatchki