Adaptive Proofs for Networks of Partial Structures

The present paper expounds a preferred models semantics of paraconsistent reasoning. The basic idea of this semantics is that we interpret the language L(V) of a theory T in such a way that the axioms of T are satisfied to a maximal extent. These preferre

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Holger Andreas Peter Verdée Editors

Logical Studies of Paraconsistent Reasoning in Science and Mathematics

Trends in Logic Volume 45

TRENDS IN LOGIC Studia Logica Library VOLUME 45 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 Orłowska, Institute of Telecommunications, Warsaw, Poland Peter Schroeder-Heister, University of Tübingen, Tübingen, 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

Holger Andreas Peter Verdée •

Editors

Logical Studies of Paraconsistent Reasoning in Science and Mathematics

123

Editors Holger Andreas University of British Columbia Kelowna, BC Canada

ISSN 1572-6126 Trends in Logic ISBN 978-3-319-40218-5 DOI 10.1007/978-3-319-40220-8

Peter Verdée Institut Supérieur de Philosophie Université Catholique de Louvain Louvain-la-Neuve Belgium

ISSN 2212-7313

(electronic)

ISBN 978-3-319-40220-8

(eBook)

Library of Congress Control Number: 2016949620 © Springer International Publishing AG 2016 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