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» Recursive type generativity
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CSL
2004
Springer
14 years 2 months ago
Fixed Points of Type Constructors and Primitive Recursion
Abstract. For nested or heterogeneous datatypes, terminating recursion schemes considered so far have been instances of iteration, excluding efficient definitions of fixed-point ...
Andreas Abel, Ralph Matthes
ICFP
2004
ACM
14 years 8 months ago
Numbering matters: first-order canonical forms for second-order recursive types
We study a type system equipped with universal types and equirecursive types, which we refer to as F?. We show that type equality may be decided in time O(n log n), an improvement...
François Pottier, Nadji Gauthier
TLDI
2009
ACM
169views Formal Methods» more  TLDI 2009»
14 years 5 months ago
Relational parametricity for references and recursive types
We present a possible world semantics for a call-by-value higherorder programming language with impredicative polymorphism, general references, and recursive types. The model is o...
Lars Birkedal, Kristian Støvring, Jacob Tha...
TIC
2000
Springer
174views System Software» more  TIC 2000»
14 years 8 days ago
Alias Types for Recursive Data Structures
Linear type systems permit programmers to deallocate or explicitly recycle memory, but they are severly restricted by the fact that they admit no aliasing. This paper describes a ...
David Walker, J. Gregory Morrisett
TLCA
1997
Springer
14 years 26 days ago
Coinductive Axiomatization of Recursive Type Equality and Subtyping
We present new sound and complete axiomatizations of type equality and subtype inequality for a first-order type language with regular recursive types. The rules are motivated by ...
Michael Brandt, Fritz Henglein