Lecture Notes in Computer Science 4941

Transcription

1 Lecture Notes in Computer Science 4941 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

2 Marino Miculan Ivan Scagnetto Furio Honsell (Eds.) Types for Proofs and Programs International Conference, TYPES 2007 Cividale del Friuli, Italy, May 2-5, 2007 Revised Selected Papers 13

3 Volume Editors Marino Miculan Ivan Scagnetto Furio Honsell Università degli Studi di Udine Dipartimento di Matematica e Informatica Via delle Scienze 206, Udine, Italy {miculan, scagnett, honsell}@dimi.uniud.it Library of Congress Control Number: 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 Springer Berlin Heidelberg New York ISBN Springer Berlin Heidelberg New York 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 is a part of Springer Science+Business Media springer.com Springer-Verlag Berlin Heidelberg 2008 Printed in Germany Typesetting: Camera-ready by author, data conversion by Scientific Publishing Services, Chennai, India Printed on acid-free paper SPIN: /

4 Preface These proceedings contain a selection of refereed papers presented at or related to the Annual Workshop of the TYPES project (EU coordination action ), which was held during May 2 5, 2007 in Cividale del Friuli (Udine), Italy. The topic of this workshop was formal 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, formalization of mathematics and mathematics education. The workshop was attended by more than 100 researchers and included more than 40 presentations. We also had the pleasure of three invited lectures, from Frédéric Blanqui (INRIA, Protheo team), Peter Sewell (University of Cambridge) and Amy Felty (University of Ottawa). From 22 submitted papers, 13 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 proceedings of these workshops were published in the Lecture Notes in Computer Science series: TYPES 1993 Nijmegen, The Netherlands, LNCS 806 TYPES 1994 Båstad, Sweden, LNCS 996 TYPES 1995 Turin, Italy, LNCS 1158 TYPES 1996 Aussois, France, LNCS 1512 TYPES 1998 Kloster Irsee, Germany, LNCS 1657 TYPES 1999 Lökeborg, 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 ESPRIT BRA 6453 was a continuation of ESPRIT Action 3245, Logical Frameworks: Design, Implementation and Experiments. Proceedings for annual meetings under that action were published by Cambridge University Press in the books Logical Frameworks and Logical Environments. TYPES 2007 was made possible by the contribution of many people. We thank all the participants to 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. Finally we acknowledge the support of the University of Udine in the organization of the meeting. January 2008 Marino Miculan Ivan Scagnetto Furio Honsell

5 VI Preface Referees Abel, Andreas Alessi, Fabio Asperti, Andrea Benton, Nick Bertot, Yves Bove, Ana Brady, Edwin Brauner, Paul Callaghan, Paul Castran, Pierre Coquand, Thierry Crosilla, Laura D Agostino, Giovanna Damiani, Ferruccio Di Gianantonio, Pietro Filinski, Andrzej Gabbay, Murdoch J. Gambino, Nicola Geuvers, Herman Ghani, Neil Gregoire, Benjamin Hasuo, Ichiro Herbelin, Hugo Honsell, Furio Hyland, Martin Hyvernat, Pierre Jacobs, Bart Kamareddine, Fairouz Kikuchi, Kentaro Kirchner, Claude Klein, Gerwin Levy, Paul B. Luo, Yong Luo, Zhaohui Mackie, Ian Marra, Vincenzo McBride, Conor Miculan, Marino Miller, Dale Moggi, Eugenio Momigliano, Alberto Nordström, Bengt Norell, Ulf Omodeo, Eugenio Ornaghi, Mario Paulin-Mohring, Christine Peyton-Jones, Simon Pichardie, David Pitts, Andy Pollack, Randy Power, John Rabe, Florian Rubio, Albert Scagnetto, Ivan Schwichtenberg, Helmut Soloviev, Sergei Urban, Christian Veldman, Wim Vene, Varmo Wenzel, Markus Werner, Benjamin Zacchiroli, Stefano

6 Table of Contents Algorithmic Equality in Heyting Arithmetic Modulo... 1 Lisa Allali CoqJVM: An Executable Specification of the Java Virtual Machine Using Dependent Types Robert Atkey Dependently Sorted Logic João Filipe Belo Finiteness in a Minimalist Foundation Francesco Ciraulo and Giovanni Sambin A Declarative Language for the Coq Proof Assistant Pierre Corbineau Characterising Strongly Normalising Intuitionistic Sequent Terms J. Espírito Santo, S. Ghilezan, and J. Ivetić Intuitionistic vs. Classical Tautologies, Quantitative Comparison Antoine Genitrini, Jakub Kozik, and Marek Zaionc IntheSearchofaNaiveTypeTheory Agnieszka Kozubek and Pawe l Urzyczyn Verification of the Redecoration Algorithm for Triangular Matrices Ralph Matthes and Martin Strecker A Logic for Parametric Polymorphism with Effects Rasmus Ejlers Møgelberg and Alex Simpson Working with Mathematical Structures in Type Theory Claudio Sacerdoti Coen and Enrico Tassi On Normalization by Evaluation for Object Calculi J. Schwinghammer Attributive Types for Proof Erasure Hongwei Xi Author Index