Arnon Avron on semantics and proof theory of non-classical logics
著者
書誌事項
Arnon Avron on semantics and proof theory of non-classical logics
(Outstanding contributions to logic, v. 21)
Springer, c2021
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注記
Includes bibliographical references
内容説明・目次
内容説明
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.
目次
Arnon Avron. An uncertain road to certaintyOfer Arieli and Anna Zamansky. Introduction: Non-classical logics - Between semantics and proof theory (In relation to Arnon Avron's work)Katalin Bimbo. Interpretations of weak positive modal logicsCarlos Caleiro and Sergio Marcelin. On axioms and rexpansionsWalter Carnielli and Juliana Bueno-Soler. Credal calculi, evidence, and consistencyAlmudena Colacito, Nikolaos Galatos and George Metcalfe. Theorems of alternatives for substructural logicsMarcelo E. Coniglio, Francesc Esteva, Joan Gispert and Lluis Godo. Degree-preserving Goedel logics with aninvolution: intermediate logics and (ideal) paraconsistencyJ. Michael Dunn. R-mingle is nice, and so is Arnon AvronMelvin Fitting. The strict/tolerant idea and bilatticesDov Gabbay. What is negation in a system 2020?Edwin Mares. Relevance Domains and the Philosophy of ScienceDaniele Mundici. Consequence relations with real truth-valuesSara Negri. Geometric rules in infinitary logicSergei Odinstov, Daniel Skurt and Heinrich Wansing. Connexive variants of modal logics over FDEArnon Avron. Comments on the Papers Arnon Avron - List of publications.
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