Logical Approaches to Computational Barriers Second Conference on Co

CiE 2006: Logical Approaches to Computational Barriers Swansea, Wales, June 30 - July 5, 2006 Computability in Europe (CiE) is an informal network of European scientists working on computability theory, including its foundations, technical devel- ment, an

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Editorial Board David Hutchison Lancaster University, UK Takeo Kanade Carnegie Mellon University, Pittsburgh, PA, USA Josef Kittler University of Surrey, Guildford, UK Jon M. Kleinberg Cornell University, Ithaca, NY, USA Friedemann Mattern ETH Zurich, Switzerland John C. Mitchell Stanford University, CA, USA Moni Naor Weizmann Institute of Science, Rehovot, Israel Oscar Nierstrasz University of Bern, Switzerland C. Pandu Rangan Indian Institute of Technology, Madras, India Bernhard Steffen University of Dortmund, Germany Madhu Sudan Massachusetts Institute of Technology, MA, USA Demetri Terzopoulos University of California, Los Angeles, CA, USA Doug Tygar University of California, Berkeley, CA, USA Moshe Y. Vardi Rice University, Houston, TX, USA Gerhard Weikum Max-Planck Institute of Computer Science, Saarbruecken, Germany

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Arnold Beckmann Ulrich Berger Benedikt Löwe John V. Tucker (Eds.)

Logical Approaches to Computational Barriers Second Conference on Computability in Europe, CiE 2006 Swansea, UK, June 30-July 5, 2006 Proceedings

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Volume Editors Arnold Beckmann Ulrich Berger John V. Tucker University of Wales Swansea Department of Computer Science Singleton Park, Swansea SA2 8PP, UK E-mail: {a.beckmann,u.berger,J.V.Tucker}@swansea.ac.uk Benedikt Löwe Universiteit van Amsterdam Institue for Logic, Language and Computation (ILLC) Plantage Muidergracht 24, 1018 TV Amsterdam, The Netherlands E-mail: [email protected]

Library of Congress Control Number: 2006927797 CR Subject Classification (1998): F.1, F.2.1-2, F.4.1, G.1.0, I.2.6, J.3 LNCS Sublibrary: SL 1 – Theoretical Computer Science and General Issues ISSN ISBN-10 ISBN-13

0302-9743 3-540-35466-2 Springer Berlin Heidelberg New York 978-3-540-35466-6 Springer Berlin Heidelberg New York

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Preface

CiE 2006: Logical Approaches to Computational Barriers Swansea, Wales, June 30 - July 5, 2006

Computability in Europe (CiE) is an informal network of European scientists working on computability theory, including its foundations, technical development, and applications. Among the aims of the network is to advance our theoretical understanding of what can and cannot be computed, by any means of comp