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

ISBN-13: 9783030712570 / Angielski / Twarda / 2021 / 339 str.

Ofer Arieli; Anna Zamansky

Spis treści

Arnon Avron. An uncertain road to certainty

Ofer Arieli and Anna Zamansky. Introduction: Non-classical logics – Between semantics and proof theory (In relation to Arnon Avron’s work)

Katalin Bimbó. Interpretations of weak positive modal logics

Carlos Caleiro and Sérgio Marcelin. On axioms and rexpansions

Walter Carnielli and Juliana Bueno-Soler. Credal calculi, evidence, and consistency

Almudena Colacito, Nikolaos Galatos and George Metcalfe. Theorems of alternatives for substructural logics

Marcelo E. Coniglio, Francesc Esteva, Joan Gispert and Lluis Godo. Degree-preserving Gödel logics with aninvolution: intermediate logics and (ideal) paraconsistency

J. Michael Dunn. R-mingle is nice, and so is Arnon Avron

Melvin Fitting. The strict/tolerant idea and bilattices

Dov Gabbay. What is negation in a system 2020?

Edwin Mares. Relevance Domains and the Philosophy of Science

Daniele Mundici. Consequence relations with real truth-values

Sara Negri. Geometric rules in infinitary logic

Sergei Odinstov, Daniel Skurt and Heinrich Wansing. Connexive variants of modal logics over FDE

Arnon Avron. Comments on the Papers  

Arnon Avron - List of publications.

O autorze

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.

Blurb

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.