Overview
- Covers state-of-the-art topics in semantics and proof theory of non-classical logics
- Includes in-depth commentaries by Arnon Avron, whose pioneering work is celebrated in this special book
- Presents advanced studies on semantic and proof-theoretical aspects of computer science logic written by some of the most esteemed scholars in the field
Part of the book series: Outstanding Contributions to Logic (OCTR, volume 21)
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Table of contents (14 chapters)
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Front Matter
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Back Matter
Keywords
- Computer Science logic
- Logics for Artificial Intelligence
- Non-classical Logics
- Semantics and Proof theory
- Paraconsistent Logics
- Relevance Logics
- Non-deterministic Semantics
- Reasoning with Inconsistent Information
- Between semantics and proof theory
- Interpretations of weak positive modal logics
- Credal calculi, evidence, and consistency
- Theorems of alternatives for substructural logics
- Degree-preserving Gödel logics with aninvolution
- intermediate logics and (ideal) paraconsistency
- strict/tolerant idea and bilattices
- What is negation in a system 2020
- Relevance Domains and the Philosophy of Science
- Consequence relations with real truth-values
- Geometric rules in infinitary logic
- Connexive variants of modal logics over FDE
About this book
This book is a collection of contributions honouring Arnon Avron’s seminal work on the semantics and proof theory of non-classical logics. It includes presentations of advanced work by some of the most esteemed scholars working on semantic and proof-theoretical aspects of computer science logic. Topics in this book include frameworks for paraconsistent reasoning, foundations of relevance logics, analysis and characterizations of modal logics and fuzzy logics, hypersequent calculi and their properties, non-deterministic semantics, algebraic structures for many-valued logics, and representations of the mechanization of mathematics.
Avron’s foundational and pioneering contributions have been widely acknowledged and adopted by the scientific community. His research interests are very broad, spanning over proof theory, automated reasoning, non-classical logics, foundations of mathematics, and applications of logic in computer science and artificial intelligence. This is clearly reflected by the diversity of topics discussed in the chapters included in this book, all of which directly relate to Avron’s past and present works. This book is of interest to computer scientists and scholars of formal logic.
Editors and Affiliations
About the editors
Anna Zamansky is an associate professor at the Information Systems Department, University of Haifa. She received her B.A. and M.Sc. in Computer Science from the Technion, Israeli Institute of Technology, and her Ph.D. in Computer Science from Tel-Aviv University. Afterwards (2010–2012) she was a Marie Curie postdoctoral researcher in the Computational Logic group at the Technical University of Vienna, Austria. Her research interests include applied logic and reasoning with inconsistent information.
Bibliographic Information
Book Title: Arnon Avron on Semantics and Proof Theory of Non-Classical Logics
Editors: Ofer Arieli, Anna Zamansky
Series Title: Outstanding Contributions to Logic
DOI: https://doi.org/10.1007/978-3-030-71258-7
Publisher: Springer Cham
eBook Packages: Religion and Philosophy, Philosophy and Religion (R0)
Copyright Information: The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2021
Hardcover ISBN: 978-3-030-71257-0Published: 31 July 2021
Softcover ISBN: 978-3-030-71260-0Published: 31 July 2022
eBook ISBN: 978-3-030-71258-7Published: 30 July 2021
Series ISSN: 2211-2758
Series E-ISSN: 2211-2766
Edition Number: 1
Number of Pages: XXXIX, 339
Number of Illustrations: 15 b/w illustrations, 3 illustrations in colour
Topics: Logic, Philosophy, general, Mathematical Logic and Foundations, Computer Science, general