Computation and Logic in the Real World

This book constitutes the refereed proceedings of the Third International Conference on Computability in Europe, CiE 2007, held in Sienna, Italy, in June 2007.
The 50 revised full papers presented together with 36 invited papers were carefully reviewed and selected from 167 submissions. Among them are papers corresponding to 12 plenary talks and papers of 8 special sessions entitled doing without turing machines: constructivism and formal topology, approaches to computational learning, real computation, computability and mathematical structure, complexity of algorithms and proofs, logic and new paradigms of computability, computational foundations of physics and biology, as well as a women in computability workshop.