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Lecture Notes in Computer Science 5497 Commenced Publication in 1973 Founding and Former Series Editors: Gerhard Goos, Juris Hartmanis, and Jan van Leeuwen 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 Alfred Kobsa University of California, Irvine, CA, 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 Gerhard Weikum Max-Planck Institute of Computer Science, Saarbruecken, Germany Stefano Berardi Ferruccio Damiani Ugo de’Liguoro (Eds.) Types for Proofs and Programs International Conference, TYPES 2008 Torino, Italy, March 26-29, 2008 Revised Selected Papers 1 3 Volume Editors Stefano Berardi Ferruccio Damiani Ugo de’Liguoro Università di Torino, Dipartimento di Informatica Corso Svizzera 185, 10149 Torino, Italy E-mail: {stefano, damiani, deligu}@di.unito.it Library of Congress Control Number:Applied for CR Subject Classification (1998): F.3.1, F.4.1, D.3.3, I.2.3 LNCS Sublibrary: SL 1 – Theoretical Computer Science and General Issues ISSN ISBN-10 ISBN-13 0302-9743 3-642-02443-2 Springer Berlin Heidelberg NewYork 978-3-642-02443-6 Springer Berlin Heidelberg NewYork This work is subject to copyright. All rights are reserved, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, re-use of illustrations, recitation, broadcasting, reproduction on microfilms or in any other way, and storage in data banks. Duplication of this publication or parts thereof is permitted only under the provisions of the German Copyright Law of September 9, 1965, in its current version, and permission for use must always be obtained from Springer. Violations are liable to prosecution under the German Copyright Law. springer.com © Springer-Verlag Berlin Heidelberg 2009 Printed in Germany Typesetting: Camera-ready by author, data conversion by Scientific Publishing Services, Chennai, India Printed on acid-free paper SPIN: 12697175 06/3180 5 4 3 2 1 0 Preface These proceedings contain a selection of refereed papers presented at or re-lated to the Annual Workshop of the TYPES project (EU coordination action 510996), which was held during March 26–29, 2008 in Turin, Italy. The topic of this workshop, and of all previous workshops of the same project, was for-mal reasoning and computer programming based on type theory: languages and computerized tools for reasoning, and applications in several domains such as analysis of programming languages, certified software, mobile code, formaliza-tion of mathematics, mathematics education. The workshop was attended by more than 100 researchers and included more than 40 presentations. We also had three invited lectures, from A. Asperti (University of Bologna), G. Dowek (LIX, Ecole polytechnique, France) and J. W. Klop (Vrije Universiteit, Ams-terdam, The Netherlands). From 27 submitted papers, 19 were selected after a reviewing process. Each submitted paper was reviewed by three referees; the final decisions were made by the editors. This workshop is the last of a series of meetings of the TYPES working group funded by the European Union (IST project 29001, ESPRIT Working Group 21900, ESPRIT BRA 6435). The pro-ceedings of these workshops were published in the Lecture Notes in Computer Science series: TYPES 1993 Nijmegen, The Netherlands, LNCS 806, TYPES 1994 B˚astad, Sweden, LNCS 996, TYPES 1995 Turin, Italy, LNCS 1158, TYPES 1996 Aussois, France, LNCS 1512, TYPES 1998 Kloster Irsee, Germany, LNCS 1657, TYPES 1999 L¨okeborg, Sweden, LNCS 1956, TYPES 2000 Durham, UK, LNCS 2277, TYPES 2002 Berg en Dal, The Netherlands, LNCS 2646, TYPES 2003 Turin, Italy, LNCS 3085, TYPES 2004 Jouy-en-Josas, France, LNCS 3839, TYPES 2006 Nottingham, UK, LNCS 4502, TYPES 2007 Cividale del Friuli, Italy, LNCS 4941. ESPRIT BRA 6453 was a continuation of ESPRIT Action 3245, Logical Frame-works: Design, Implementation and Experiments. TYPES 2008 was made pos-sible by the contribution of many people. We thank all the participants of the workshops, and all the authors who submitted papers for consideration for these proceedings. We would like to also thank the referees for their effort in preparing careful reviews. March 2009 Stefano Berardi Ferruccio Damiani Ugo de’Liguoro Organization Referees A. Abel J. Adamek T. Altenkirch D. Ancona F. Aschieri A. Asperti J. Avigad F. Barbanera E. Beffara S. Berghofer Y. Bertot F. Besson L. Bettini S. B. Ana B. E. Brady J. Caldwell F. Cardone P. Casteran J. Charles A. Chlipala A. Ciaffaglione M. Comini T. Coquand P. Corbineau U. Dal Lago D. de Carvalho G. Dowek C. Dubois A. Felty J.-C. Filliatre C. Fuhs M. Gebser M. Gelfond H. Geuvers G. Gupta J. Harrison T. Hoang M. Hofmann B. Jacobs D. Kesner E. Komendantskaya J. Laird S. Lengrand M. Lenisa P. B. Levy R. Matthes D. Mazza C. Mcbride J. McKinna M. Miculan D. Miller A. Miquel J.-F. Monin A. Murawski K. Nakazawa R. O’Connor N. Oury M. Piccolo A. Poetzsch-Heffter L. Pottier C. Raffalli F. Ricca W. Ricciotti E. Ritter L. Robaldo P. Rudnicki A. Saurin A. Setzer E. Tassi K. Terui L. Thery A. Trybulec T. 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