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» Recursion on Nested Datatypes in Dependent Type Theory
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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
SCP
2011
255views Communications» more  SCP 2011»
12 years 12 months ago
Map fusion for nested datatypes in intensional type theory
A definitional extension LNGMIt of the Calculus of Inductive Constructions (CIC), that underlies the proof assistant Coq, is presented that allows also to program with nested dat...
Ralph Matthes
MPC
1998
Springer
83views Mathematics» more  MPC 1998»
13 years 9 months ago
Nested Datatypes
A nested datatype, also known as a non-regular datatype, is a parametrised datatype whose declaration involves different instances of the accompanying type parameters. Nested datat...
Richard S. Bird, Lambert G. L. T. Meertens
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
TLDI
2003
ACM
135views Formal Methods» more  TLDI 2003»
13 years 10 months ago
Typed compilation of recursive datatypes
Standard ML employs an opaque (or generative) semantics of datatypes, in which every datatype declaration produces a new type that is different from any other type, including othe...
Joseph Vanderwaart, Derek Dreyer, Leaf Petersen, K...