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TYPES
2004
Springer
14 years 27 days 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
CORR
2007
Springer
88views Education» more  CORR 2007»
13 years 7 months ago
The Parallel-Sequential Duality : Matrices and Graphs
Abstract. Usually, mathematical objects have highly parallel interpretations. In this paper, we consider them as sequential constructors of other objects. In particular, we prove t...
Serge Burckel
ENTCS
2006
137views more  ENTCS 2006»
13 years 7 months ago
Coalgebraic Description of Generalized Binary Methods
We extend the Reichel-Jacobs coalgebraic account of specification and refinement of objects and classes in Object Oriented Programming to (generalized) binary methods. These are m...
Furio Honsell, Marina Lenisa, Rekha Redamalla
OOPSLA
2005
Springer
14 years 1 months ago
Generalized algebraic data types and object-oriented programming
Generalized algebraic data types (GADTs) have received much attention recently in the functional programming community. They generalize the (type) parameterized algebraic datatype...
Andrew Kennedy, Claudio V. Russo
CIE
2008
Springer
13 years 9 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