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» Extracting Recursive Programs in Type Theory
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ICFP
2005
ACM
14 years 7 months ago
Recursive type generativity
Existential types provide a simple and elegant foundation for uning generative abstract data types, of the kind supported by the Standard ML module system. However, in attempting ...
Derek Dreyer
TLDI
2003
ACM
135views Formal Methods» more  TLDI 2003»
14 years 9 days 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...
SCP
2011
255views Communications» more  SCP 2011»
13 years 2 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
FPCA
1995
13 years 10 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

Book
290views
15 years 5 months ago
Type Theory and Functional Programming
"Constructive Type theory has been a topic of research interest to computer scientists, mathematicians, logicians and philosophers for a number of years. For computer scient...
Simon Thompson