Conditionals and Modularity in General Logics
This text centers around three main subjects. The first is the concept of modularity and independence in classical logic and nonmonotonic and other nonclassical logic, and the consequences on syntactic and semantical interpolation and language change. In
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Editorial Board: A. Bundy J. G. Carbonell M. Pinkal H. Uszkoreit M. Veloso W. Wahlster M. J. Wooldridge
Advisory Board: Luigia Carlucci Aiello Franz Baader Wolfgang Bibel Leonard Bolc Craig Boutilier Ron Brachman Bruce G. Buchanan Anthony Cohn Artur d’Avila Garcez Luis Fari˜nas del Cerro Koichi Furukawa Georg Gottlob Patrick J. Hayes James A. Hendler Anthony Jameson Nick Jennings Aravind K. Joshi Hans Kamp Martin Kay Hiroaki Kitano Robert Kowalski Sarit Kraus Maurizio Lenzerini Hector Levesque John Lloyd
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Dov M. Gabbay
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Karl Schlechta
Conditionals and Modularity in General Logics
Prof. Dov M. Gabbay Department of Computer Science King’s College London Strand, London WC2R 2LS, UK and Department of Computer Science Bar Ilan University 52900 Ramat-Gan, Israel
Prof. Karl Schlechta Université de Provence CMI 39, rue Joliot-Curie 13453 Marseille Cedex 13 France [email protected]
and Computer Science and Communications Faculty of Sciences University of Luxembourg 6, rue Coudenhove-Kalergi L-1359 Luxembourg [email protected]
Managing Editors Prof. Dov M. Gabbay Augustus De Morgan Professor of Logic Department of Computer Science King’s College London Strand, London WC2R 2LS, UK
Prof. Dr. Jörg Siekmann Forschungsbereich Deduktions- und Multiagentensysteme, DFKI Stuhlsatzenweg 3, Geb. 43 66123 Saarbrücken, Germany
Cognitive Technologies ISSN 1611-2482 ISBN 978-3-642-19067-4 e-ISBN 978-3-642-19068-1 DOI 10.1007/978-3-642-19068-1 Springer Heidelberg Dordrecht London New York ACM Codes 1.2.3, F.4.1 Library of Congress Control Number: 2011934866 © Springer-Verlag Berlin Heidelberg 2011 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, reuse of illustrations, recitation, broadcasting, reproduction on microfilm 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. The use of general descriptive names, registered names, trademarks, etc. in this publication does not imply, even in the absence of a specific statement, that such names are exempt from the relevant protective laws and regulations and therefore free for general use. Cover design: deblik Printed on acid-free paper Springer is part of Springer Science+Business Media (www.springer.com)
Contents
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Introduction . . . . . . . . . . . . . . . . . . . . . . . . . .
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