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» Recursion on Nested Datatypes in Dependent Type Theory
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POPL
2003
ACM
14 years 5 months ago
Guarded recursive datatype constructors
We introduce a notion of guarded recursive (g.r.) datatype constructors, generalizing the notion of recursive datatypes in functional programming languages such as ML and Haskell....
Hongwei Xi, Chiyan Chen, Gang Chen
LICS
2009
IEEE
13 years 12 months ago
Indexed Containers
The search for an expressive calculus of datatypes in which canonical algorithms can be easily written and proven correct has proved to be an enduring challenge to the theoretical ...
Thorsten Altenkirch, Peter Morris
ICFP
2010
ACM
13 years 6 months ago
The gentle art of levitation
We present a closed dependent type theory whose inductive types are given not by a scheme for generative declarations, but by encoding in a universe. Each inductive datatype arise...
James Chapman, Pierre-Évariste Dagand, Cono...
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
TPHOL
2002
IEEE
13 years 10 months ago
Type-Theoretic Functional Semantics
We describe the operational and denotational semantics of a small imperative language in type theory with inductive and recursive definitions. The operational semantics is given b...
Yves Bertot, Venanzio Capretta, Kuntal Das Barman