Equivalence Between HOFL Denotational and Operational Semantics
In this chapter we address the correspondence between the operational semantics of HOFL from Chapter 7 and its denotational semantics from Chapter 9. The situation is not as straightforward as for IMP. A first discrepancy between the two semantics is that
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Roberto Bruni Ugo Montanari
Models of Computation
Texts in Theoretical Computer Science. An EATCS Series Series editors Monika Henzinger, Faculty of Science, Universität Wien, Vienna, Austria Juraj Hromkovič, Department of Computer Science, ETH Zentrum, Zürich, Switzerland Mogens Nielsen, Department of Computer Science, Aarhus Universitet, Aarhus, Denmark Grzegorz Rozenberg, Leiden Center of Advanced Computer Science, Leiden, The Netherlands Arto Salomaa, Turku Centre of Computer Science, Turku, Finland
More information about this series at http://www.springer.com/series/3214
Roberto Bruni Ugo Montanari •
Models of Computation
123
Roberto Bruni Dipartimento di Informatica Università di Pisa Pisa Italy
Ugo Montanari Dipartimento di Informatica Università di Pisa Pisa Italy
ISSN 1862-4499 Texts in Theoretical Computer Science. An EATCS Series ISBN 978-3-319-42898-7 ISBN 978-3-319-42900-7 DOI 10.1007/978-3-319-42900-7
(eBook)
Library of Congress Control Number: 2017937525 © Springer International Publishing Switzerland 2017 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. 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. The publisher, the authors and the editors are safe to assume that the advice and information in this book are believed to be true and accurate at the date of publication. Neither the publisher nor the authors or the editors give a warranty, express or implied, with respect to the material contained herein or for any errors or omissions that may have been made. The publisher remains neutral with regard to jurisdictional claims in published maps and institutional affiliations. Printed on acid-free paper This Springer imprint is published by Springer Nature The registered company is Springer International Publishing AG The registered company address is: Gewerbestrasse 11, 6330 Cham, Switzerland
Mathematical reasoning may be regarded rather schematically as the exercise of a combination of two facilities, which we may call intuition and ingenuity. Alan Turing1
1
The purpose of ordinal logics (from Systems of Logic Based on Ordinals), Proceedings of the London Mathematical Society, series 2, vol. 45, no. 1, 161–228, 1939.
Foreword
Based on more than fifteen years of teaching, this book provides an exceptionally useful addition to the introductory literature on Models of Computation. It covers a wealth of material on imperative, functional, concurrent and
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