Generic and Indexed Programming [Paperback]

Generic programming is about making programs more widely applicable via exotic kinds of parametrization---not just along the dimensions of values or of types, but also of things such as the shape of data, algebraicstructures, strategies, computational paradigms, and so on. Indexed programming is a lightweight form of dependently typed programming, constraining flexibility by allowing one to state and check relationships between parameters: that the shapes of two arguments agree, that an encoded value matches some type, that values transmitted along a channel conform to the stated protocol, and so on.The two forces of genericity and indexing balance each other nicely, simultaneously promoting and controlling generality. The 5 lectures included in this book stem from the Spring School on Generic and Indexed Programming, held in Oxford, UK, in March 2010 as a closing activity of the generic and indexed programming project at Oxford which took place in the years 2006-2010.This book collects lectures from the Spring 2010 School on Generic and Indexed Programming. Includes coverage showing how the forces of genericity and indexing balance each other, simultaneously promoting and controlling generality in programming.

Three Complementary Approaches to Bidirectional Programming.-Generic Programming with Adjunctions.-Typed Tagless Final Interpreters.-The C++0x Concepts Effort.-Generic Programming with Dependent Types.

Generic Programming with Adjunctions.-Typed Tagless Final Interpreters.-The C++0x Concepts Effort.-Generic Programming with Dependent Types.

Generic programming is about making programs more widely applicable via exotic kinds of parametrization---not just along the dimensions of values or of types, but also of things such as the shape of data, algebraic
structures, strategies, computational paradigms, and so on. Indexed programming is a lightweight form of dependently typed programming, constraining flexibility by allowingl#œ