Towards Mechanized Mathematical Assistants 14th Symposium, Calcu

This volume contains the collected contributions of two conferences, Calcu- mus2007andMKM2007.Calculemus2007wasthe14thinaseriesofconferences dedicated to the integration of computer algebra systems (CAS) and automated deduction systems (ADS). MKM 2007 was

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Subseries of Lecture Notes in Computer Science

4573

Manuel Kauers Manfred Kerber Robert Miner Wolfgang Windsteiger (Eds.)

Towards Mechanized Mathematical Assistants 14th Symposium, Calculemus 2007 6th International Conference, MKM 2007 Hagenberg, Austria, June 27-30, 2007 Proceedings

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Series Editors Jaime G. Carbonell, Carnegie Mellon University, Pittsburgh, PA, USA Jörg Siekmann, University of Saarland, Saarbrücken, Germany Volume Editors Manuel Kauers Wolfgang Windsteiger Johannes Kepler University Research Institute for Symbolic Computation, Linz, Austria E-mail: {Manuel.Kauers, Wolfgang.Windsteiger}@risc.uni-linz.ac.at Manfred Kerber The University of Birmingham School of Computer Science, Birmingham B15 2TT, England E-mail: [email protected] Robert Miner Design Science, Inc., St. Paul, Minnesota, USA E-mail: [email protected]

Library of Congress Control Number: 2007928735

CR Subject Classification (1998): I.2.2, I.2, H.3, H.2.8, I.7.2, F.4.1, H.4, C.2.4, G.4, I.1 LNCS Sublibrary: SL 7 – Artificial Intelligence ISSN ISBN-10 ISBN-13

0302-9743 3-540-73083-4 Springer Berlin Heidelberg New York 978-3-540-73083-5 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 2007 Printed in Germany Typesetting: Camera-ready by author, data conversion by Scientific Publishing Services, Chennai, India Printed on acid-free paper SPIN: 12077151 06/3180 543210

Preface

This volume contains the collected contributions of two conferences, Calculemus 2007 and MKM 2007. Calculemus 2007 was the 14th in a series of conferences dedicated to the integration of computer algebra systems (CAS) and automated deduction systems (ADS). MKM 2007 was the sixth International Conference on Mathematical Knowledge Management, an emerging interdisciplinary field of research in the intersection of mathematics, computer science, library science, and scientific publishing. Both conferences aimed to provide mechanized mathematical assistants. Although the two conferences have separate communities and separate foci, there is a significant overlap in the interests in building mechanized mathematical assistants. For this reason it was decided to collocate the two events in 2007 for the first time, at RISC in Hagenberg, Austria. The number and quality of the submissions show that this was a good decision. While the proceedings are shared, the submission process was separate. The responsib