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» Fixed Points of Type Constructors and Primitive Recursion
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CSL
2004
Springer
13 years 10 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
CORR
2008
Springer
208views Education» more  CORR 2008»
13 years 5 months ago
Equilibria, Fixed Points, and Complexity Classes
Many models from a variety of areas involve the computation of an equilibrium or fixed point of some kind. Examples include Nash equilibria in games; market equilibria; computing o...
Mihalis Yannakakis
ICDE
2008
IEEE
142views Database» more  ICDE 2008»
14 years 6 months ago
An Inflationary Fixed Point Operator in XQuery
ct The backbone of the XML data model, namely ordered, unranked trees, is inherently recursive and it is natural to equip the associated languages with constructs that can query su...
Loredana Afanasiev, Torsten Grust, Maarten Marx, J...
FPCA
1995
13 years 8 months ago
Bananas in Space: Extending Fold and Unfold to Exponential Types
Fold and unfold are general purpose functionals for processing and constructing lists. By using the categorical approach of modelling recursive datatypes as fixed points of funct...
Erik Meijer, Graham Hutton
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