Mathematical Logic Foundations for Information Science
Mathematical logic is a branch of mathematics that takes axiom systems and mathematical proofs as its objects of study. This book shows how it can also provide a foundation for the development of information science and technology. The first five chapters
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Wei Li
Mathematical Logic Foundations for Information Science Second Revised Edition
Progress in Computer Science and Applied Logic Volume 25
Editor-in-Chief Erich Gra¨del, Aachen, Germany
Associate Editors Eric Allender, Piscataway, NJ, USA Mikołaj Bojan´czyk, Warsaw, Poland Sam Buss, San Diego, CA, USA John C. Cherniavski, Washington, DC, USA Javier Esparza, Munich, Germany Phokion G. Kolaitis, Santa Cruz, CA, USA Jouko Va¨a¨na¨nen, Helsinki, Finland and Amsterdam, The Netherlands
For further volumes: http://www.springer.com/series/4814
Wei Li
Mathematical Logic Foundations for Information Science Second Revised Edition
Wei Li State Key Laboratory of Software Development Environment, School of Computer Science and Engineering Beihang University Beijing China
ISSN 2297-0576 ISSN 2297-0584 (electronic) Progress in Computer Science and Applied Logic ISBN 978-3-0348-0861-3 ISBN 978-3-0348-0862-0 (eBook) DOI 10.1007/978-3-0348-0862-0 Library of Congress Control Number: 2014955085 Mathematics Subject Classification (2010): 83C05, 83C35, 58J35, 58J45, 58J05, 53C80 Springer Basel Heidelberg New York Dordrecht London © Springer Basel 2014 English version of first edition based on, 数理逻辑:基本原理与形式演算 (Mathematical Logic— Basic Principles and Formal Calculus), 978-7-03020096-9, Science Press, Beijing, China, 2007. This work is subject to copyright. All rights are reserved by the Publisher, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilms or in any other physical way, and transmission or information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed. Exempted from this legal reservation are brief excerpts in connection with reviews or scholarly analysis or material supplied specifically for the purpose of being entered and executed on a computer system, for exclusive use by the purchaser of the work. Duplication of this publication or parts thereof is permitted only under the provisions of the Copyright Law of the Publisher’s location, in its current version, and permission for use must always be obtained from Springer. Permissions for use may be obtained through RightsLink at the Copyright Clearance Center. Violations are liable to prosecution under the respective Copyright Law. The use of general descriptive names, registered names, trademarks, service marks, 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. While the advice and information in this book are believed to be true and accurate at the date of publication, neither the authors nor the editors nor the publisher can accept any legal responsibility for any errors or omissions that may be made. The publisher makes no warranty, express or implied, with respect to the material contained herein. P
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