Generic and Indexed Programming

1. Front Matter

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2. Three Complementary Approaches to Bidirectional Programming

   • Nate Foster, Kazutaka Matsuda, Janis Voigtländer

   Pages 1-46

3. Generic Programming with Adjunctions

   • Ralf Hinze

   Pages 47-129

4. Typed Tagless Final Interpreters

   • Oleg Kiselyov

   Pages 130-174

5. The C++0x “Concepts” Effort

   • Jeremy G. Siek

   Pages 175-216

6. Generic Programming with Dependent Types

   • Stephanie Weirich, Chris Casinghino

   Pages 217-258

7. Back Matter

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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 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.

• bidirectional programming
• category theory
• functional programming
• parametric polymorphism
• type theory
• data structures

• Department of Computer Science, University of Oxford, Oxford, UK

  Jeremy Gibbons

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