Arnon Avron on Semantics and Proof Theory of Non-Classical Logics (eBook)

Ofer Arieli, Anna Zamansky (Herausgeber)

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2021 | 1st ed. 2021
XXXIX, 339 Seiten
Springer International Publishing (Verlag)
978-3-030-71258-7 (ISBN)

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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.



Ofer Arieli is a professor of Computer Science at the School of Computer Science, the Academic College of Tel-Aviv. He received his B.Sc. in Mathematics and Computer Science from the Hebrew University in Jerusalem, and M.Sc. and Ph.D. in Computer Science from Tel-Aviv University. Afterwards (2000-2001) he was a postdoc researcher at the Department of Computer Science, the University of Leuven, Belgium. His main research interests are related to the applications of non-classical logics in artificial intelligence and to reasoning with incomplete and inconsistent information.

 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.
Erscheint lt. Verlag 30.7.2021
Reihe/Serie Outstanding Contributions to Logic
Outstanding Contributions to Logic
Zusatzinfo XXXIX, 339 p. 18 illus., 3 illus. in color.
Sprache englisch
Themenwelt Geisteswissenschaften Philosophie Allgemeines / Lexika
Mathematik / Informatik Informatik
Mathematik / Informatik Mathematik
Schlagworte Between semantics and proof theory • Computer Science Logic • Connexive variants of modal logics over FDE • Consequence relations with real truth-values • Credal calculi, evidence, and consistency • Degree-preserving Gödel logics with aninvolution • Geometric rules in infinitary logic • intermediate logics and (ideal) paraconsistency • Interpretations of weak positive modal logics • Logics for artificial intelligence • Non-Classical Logics • Non-deterministic Semantics • Paraconsistent Logics • Reasoning with Inconsistent Information • Relevance Domains and the Philosophy of Science • Relevance logics • Semantics and Proof theory • strict/tolerant idea and bilattices • Theorems of alternatives for substructural logics • What is negation in a system 2020
ISBN-10 3-030-71258-3 / 3030712583
ISBN-13 978-3-030-71258-7 / 9783030712587
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