1. Computation, information, and the arrow of time / P. Adriaans & P. van Emde Boas -- 2. The isomorphism conjecture for NP / M. Agrawal -- 3. The Ershov hierarchy / M. M. Arslanov -- 4. Complexity and approximation in reoptimization / G. Ausiello, V. Bonmifaci, & B. Escoffier -- 5. Definability in the real universe / S. B. Cooper -- 6. HF-computability / Y. L. Ershov, V. G. Puzarenko, & A. I. Stukachev -- 7. The mathematics of computing between logic and physics / G. Longo & T. Paul -- 8. Liquid state machines : motivation, theory, and applications / W. Maass -- 9. Experiments on an internal approach to typed algorithms in analysis / D. Normann -- 10. Recursive functions : an archeological look / P. Odifreddi -- 11. Reverse mathematics and well-ordering principles / M. Rathjen & A. Weiermann -- 12. Discrete transfinite computation models / P. D. Welch