Higher-Order Computability
This book offers a self-contained exposition of the theory of computability in a higher-order context, where 'computable operations' may themselves be passed as arguments to other computable operations. The subject originated in the 1950s with the work of
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Higher-Order Computability
Theory and Applications of Computability In cooperation with the association Computability in Europe
Series Editors Prof. P. Bonizzoni Università degli Studi di Milano-Bicocca Dipartimento di Informatica Sistemistica e Comunicazione (DISCo) Milan Italy [email protected] Prof. V. Brattka Universität der Bundeswehr München Fakultät für Informatik Neubiberg Germany [email protected] Prof. S.B. Cooper University of Leeds Department of Pure Mathematics Leeds UK [email protected] Prof. E. Mayordomo Universidad de Zaragoza Departamento de Informática e Ingeniería de Sistemas Zaragoza Spain [email protected] Prof. P. Panangaden McGill University School of Computer Science Montréal Canada [email protected]
More information about this series at http://www.springer.com/series/8819
Books published in this series will be of interest to the research community and graduate students, with a unique focus on issues of computability. The perspective of the series is multidisciplinary, recapturing the spirit of Turing by linking theoretical and real-world concerns from computer science, mathematics, biology, physics, and the philosophy of science. The series includes research monographs, advanced and graduate texts, and books that offer an original and informative view of computability and computational paradigms. Series Advisory Board Samson Abramsky, University of Oxford Eric Allender, Rutgers, The State University of New Jersey Klaus Ambos-Spies, Universität Heidelberg Giorgio Ausiello, Università di Roma, “La Sapienza” Jeremy Avigad, Carnegie Mellon University Samuel R. Buss, University of California, San Diego Rodney G. Downey, Victoria University of Wellington Sergei S. Goncharov, Novosibirsk State University Peter Jeavons, University of Oxford Nataša Jonoska, University of South Florida, Tampa Ulrich Kohlenbach, Technische Universität Darmstadt Ming Li, University of Waterloo Wolfgang Maass, Technische Universität Graz Grzegorz Rozenberg, Leiden University and University of Colorado, Boulder Alan Selman, University at Buffalo, The State University of New York Wilfried Sieg, Carnegie Mellon University Jan van Leeuwen, Universiteit Utrecht Klaus Weihrauch, FernUniversität Hagen Philip Welch, University of Bristol
John Longley • Dag Normann
Higher-Order Computability
John Longley School of Informatics The University of Edinburgh Edinburgh, UK
Dag Normann Department of Mathematics The University of Oslo Oslo, Norway
ISSN 2190-619X ISSN 2190-6203 (electronic) Theory and Applications of Computability ISBN 978-3-662-47991-9 ISBN 978-3-662-47992-6 (eBook) DOI 10.1007/978-3-662-47992-6 Library of Congress Control Number: 2015951088 Springer Heidelberg New York Dordrecht London © Springer-Verlag Berlin Heidelberg 2015 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 i
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