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ICFP
2008
ACM
14 years 7 months ago
Type checking with open type functions
We report on an extension of Haskell with open type-level functions and equality constraints that unifies earlier work on GADTs, functional dependencies, and associated types. The...
Tom Schrijvers, Simon L. Peyton Jones, Manuel M. T...
CORR
2010
Springer
151views Education» more  CORR 2010»
13 years 7 months ago
Redundancies in Dependently Typed Lambda Calculi and Their Relevance to Proof Search
Dependently typed -calculi such as the Logical Framework (LF) are capable of representing relationships between terms through types. By exploiting the "formulas-as-types"...
Zachary Snow, David Baelde, Gopalan Nadathur
FUIN
2010
156views more  FUIN 2010»
13 years 6 months ago
A Tutorial Implementation of a Dependently Typed Lambda Calculus
Abstract. We present the type rules for a dependently typed core calculus together with a straightforward implementation in Haskell. We explicitly highlight the changes necessary t...
Andres Löh, Conor McBride, Wouter Swierstra
PADL
2004
Springer
14 years 28 days ago
Implementing Cut Elimination: A Case Study of Simulating Dependent Types in Haskell
Gentzen’s Hauptsatz – cut elimination theorem – in sequent calculi reveals a fundamental property on logic connectives in various logics such as classical logic and intuition...
Chiyan Chen, Dengping Zhu, Hongwei Xi
FOSSACS
2011
Springer
12 years 11 months ago
Irrelevance in Type Theory with a Heterogeneous Equality Judgement
Dependently typed programs contain an excessive amount of static terms which are necessary to please the type checker but irrelevant for computation. To obtain reasonable performan...
Andreas Abel