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(1)

Trends in Logic 43

Thomas Piecha

Peter Schroeder-Heister Editors

Advances

in Proof-

Theoretic

Semantics

(2)

Trends in Logic

Volume 43

(3)

TRENDS IN LOGIC Studia Logica Library

VOLUME 43

Editor-in-chief

Heinrich Wansing, Ruhr-University Bochum, Bochum, Germany Editorial Assistant

Andrea Kruse, Ruhr-University Bochum, Bochum, Germany Editorial Board

Aldo Antonelli, University of California, Davis, USA Arnon Avron, University of Tel Aviv, Tel Aviv, Israel Katalin Bimbó, University of Alberta, Edmonton, Canada

Giovanna Corsi, University of Bologna, Bologna, Italy Janusz Czelakowski, University of Opole, Opole, Poland

Roberto Giuntini, University of Cagliari, Cagliari, Italy Rajeev Goré, Australian National University, Canberra, Australia

Andreas Herzig, University of Toulouse, Toulouse, France Andrzej Indrzejczak, University of

Łodz,Łodz, Poland

Daniele Mundici, University of Florence, Florence, Italy Sergei Odintsov, Sobolev Institute of Mathematics, Novosibirsk, Russia

Ewa Or

ł

owska, Institute of Telecommunications, Warsaw, Poland Peter Schroeder-Heister, University of T

ü

bingen, T

ü

bingen, Germany Yde Venema, University of Amsterdam, Amsterdam, The Netherlands

Andreas Weiermann, University of Ghent, Ghent, Belgium Frank Wolter, University of Liverpool, Liverpool, UK Ming Xu, Wuhan University, Wuhan, People’s Republic of China

Founding editor

Ryszard Wójcicki, Polish Academy of Sciences, Warsaw, Poland SCOPE OF THE SERIES

The book series Trends in Logic covers essentially the same areas as the journal Studia Logica, that is, contemporary formal logic and its applications and relations to other disciplines. The series aims at publishing monographs and thematically coherent volumes dealing with important developments in logic and presenting significant contributions to logical research.

The series is open to contributions devoted to topics ranging from algebraic logic, model theory, proof theory, philosophical logic, non-classical logic, and logic in computer science to mathematical linguistics and formal epistemology. However, this list is not exhaustive, moreover, the range of applications, comparisons and sources of inspiration is open and evolves over time.

More information about this series at http://www.springer.com/series/6645

(4)

Thomas Piecha

Peter Schroeder-Heister

Editors

Advances in Proof-Theoretic

Semantics

(5)

Editors Thomas Piecha

Department of Computer Science University of Tübingen

Tübingen Germany

Peter Schroeder-Heister

Department of Computer Science University of Tübingen

Tübingen Germany

ISSN 1572-6126 ISSN 2212-7313 (electronic) Trends in Logic

ISBN 978-3-319-22685-9 ISBN 978-3-319-22686-6 (eBook) DOI 10.1007/978-3-319-22686-6

Library of Congress Control Number: 2015949264 Springer Cham Heidelberg New York Dordrecht London

©The Editor(s) (if applicable) and The Author(s) 2016. The book is published with open access at SpringerLink.com.

Open Access This book is distributed under the terms of the Creative Commons Attribution Noncommercial License, which permits any noncommercial use, distribution, and reproduction in any medium, provided the original author(s) and source are credited.

All commercial 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.

Printed on acid-free paper

Springer International Publishing AG Switzerland is part of Springer Science+Business Media (www.springer.com)

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