Sciweavers

43 search results - page 4 / 9
» Recursion on Nested Datatypes in Dependent Type Theory
Sort
View
TYPES
2004
Springer
15 years 8 months ago
A Few Constructions on Constructors
We present four constructions for standard equipment which can be generated for every inductive datatype: case analysis, structural recursion, no confusion, acyclicity. Our constru...
Conor McBride, Healfdene Goguen, James McKinna
TLCA
2005
Springer
15 years 8 months ago
Recursive Functions with Higher Order Domains
In a series of articles, we developed a method to translate general recursive functions written in a functional programming style into constructive type theory. Three problems rema...
Ana Bove, Venanzio Capretta
TLCA
2007
Springer
15 years 9 months ago
Initial Algebra Semantics Is Enough!
Initial algebra semantics is a cornerstone of the theory of modern functional programming languages. For each inductive data type, it provides a fold combinator encapsulating struc...
Patricia Johann, Neil Ghani
MPC
2004
Springer
155views Mathematics» more  MPC 2004»
15 years 8 months ago
Inferring Type Isomorphisms Generically
Abstract. Datatypes which differ inessentially in their names and structure are said to be isomorphic; for example, a ternary product is isomorphic to a nested pair of binary prod...
Frank Atanassow, Johan Jeuring
LICS
2002
IEEE
15 years 8 months ago
Computational Adequacy for Recursive Types in Models of Intuitionistic Set Theory
This paper provides a unifying axiomatic account of the interpretation of recursive types that incorporates both domain-theoretic and realizability models as concrete instances. O...
Alex K. Simpson