On the Mathematics of Modelling, Metamodelling, Ontologies and Modelling Languages
Computing as a discipline is maturing rapidly. However, with maturity often comes a plethora of subdisciplines, which, as time progresses, can become isolationist. The subdisciplines of modelling, metamodelling, ontologies and modelling languages within s
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Brian Henderson-Sellers
On the Mathematics of Modelling, Metamodelling, Ontologies and Modelling Languages
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Brian Henderson-Sellers School of Software University of Technology, Sydney Sydney NSW 2007 Australia
ISSN 2191-5768 ISBN 978-3-642-29824-0 DOI 10.1007/978-3-642-29825-7
ISSN 2191-5776 (electronic) ISBN 978-3-642-29825-7 (eBook)
Springer Heidelberg New York Dordrecht London Library of Congress Control Number: 2012938863 ACM Computing Classification (1998): D.2, H.1, I.2, F.1, F.4 Ó The Author(s) 2012 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. Printed on acid-free paper Springer is part of Springer Science+Business Media (www.springer.com)
Preface
Computing as a discipline is maturing rapidly. However, with maturity can come a plethora of subdisciplines, which, as time progresses, can become isolationist. Within the broad remit of software engineering have emerged the subdisciplines of modelling, metamodelling, ontologies and modelling languages to support a more disciplined approach to software development. Many of the ideas are argued in words; here, we collect together mathematical ideas that either already do underpin modelling or will do so in the near future. In particular, we seek a mathematical underpinning that will provide a solid link between ideas in these various subd
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