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

2021-07-30 Philosophy
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Release : 2021-07-30
Genre : Philosophy
Kind : eBook
Book Rating : 583/5 ( reviews)

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Book Synopsis Arnon Avron on Semantics and Proof Theory of Non-Classical Logics by : Ofer Arieli

Download or read book Arnon Avron on Semantics and Proof Theory of Non-Classical Logics written by Ofer Arieli. This book was released on 2021-07-30. Available in PDF, EPUB and Kindle. Book excerpt: 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.

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

2021
Download Arnon Avron on Semantics and Proof Theory of Non-Classical Logics PDF Online Free

Author :
Release : 2021
Genre :
Kind : eBook
Book Rating : 594/5 ( reviews)

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Book Synopsis Arnon Avron on Semantics and Proof Theory of Non-Classical Logics by : Ofer Arieli

Download or read book Arnon Avron on Semantics and Proof Theory of Non-Classical Logics written by Ofer Arieli. This book was released on 2021. Available in PDF, EPUB and Kindle. Book excerpt: 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.

The Semantics and Proof Theory of Relevance Logics and Non-trivial Theories Containing Contraditions [I. E. Contradictions]

1984
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Release : 1984
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Book Synopsis The Semantics and Proof Theory of Relevance Logics and Non-trivial Theories Containing Contraditions [I. E. Contradictions] by : Arnon Avron

Download or read book The Semantics and Proof Theory of Relevance Logics and Non-trivial Theories Containing Contraditions [I. E. Contradictions] written by Arnon Avron. This book was released on 1984. Available in PDF, EPUB and Kindle. Book excerpt:

Topics in the Proof Theory of Non-classical Logics

2023
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Release : 2023
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Book Synopsis Topics in the Proof Theory of Non-classical Logics by : Fabio De Martin Polo

Download or read book Topics in the Proof Theory of Non-classical Logics written by Fabio De Martin Polo. This book was released on 2023. Available in PDF, EPUB and Kindle. Book excerpt:

Theory of Effective Propositional Paraconsistent Logics

2018-05-21
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Release : 2018-05-21
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Kind : eBook
Book Rating : 701/5 ( reviews)

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Book Synopsis Theory of Effective Propositional Paraconsistent Logics by : Arnon Avron

Download or read book Theory of Effective Propositional Paraconsistent Logics written by Arnon Avron. This book was released on 2018-05-21. Available in PDF, EPUB and Kindle. Book excerpt: Perhaps the most counterintuitive property of classical logic (as well as of its most famous rival, intuitionistic logic) is the fact that it allows the inference of any proposition from a single pair of contradicting statements. A lot of work and efforts have been devoted over the years to develop alternatives to classical logic that do not have this drawback. Those alternatives are nowadays called `paraconsistent systems', and the corresponding research area --- paraconsistent reasoning. The purpose of this book is to provide a comprehensive methodological presentation of the rich mathematical theory that exists by now concerning the most fundamental part of paraconsistent reasoning: propositional (monotonic) logics. Among those logics it mainly concentrates on those which are effective (in the sense that they are decidable, have a concrete semantics, and can be equipped with implementable analytic proof systems). The first part of the book defines in precise terms all the basic notions that are related to paraconsistency, after reviewing all the necessary preliminaries. The other parts describe in detail all of the main approaches to the subject. This includes finite-valued semantics (both truth functional and non-deterministic); logics of formal inconsistency; relevant logics; constructive paraconsistent logics which are based on positive intuitionistic logic; and paraconsistent logics which are based on modal logics. The book covers thousands of paraconsistent logics, each of which is studied both from a semantical and from a proof theoretical points of view. In addition, most of those logics are characterized in terms of minimality or maximality properties that they may have.

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