Journal Of Applied Non Classical Logics
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Classical and Nonclassical Logics
| Author | : Eric Schechter |
| Publisher | : Princeton University Press |
| Total Pages | : 530 |
| Release | : 2005-08-28 |
| Genre | : Mathematics |
| ISBN | : 9780691122793 |
Classical logic is traditionally introduced by itself, but that makes it seem arbitrary and unnatural. This text introduces classical alongside several nonclassical logics (relevant, constructive, quantative, paraconsistent).
Nonclassical Logics and Their Applications
| Author | : Shier Ju |
| Publisher | : Springer Nature |
| Total Pages | : 159 |
| Release | : 2020-01-31 |
| Genre | : Philosophy |
| ISBN | : 9811513422 |
This edited book focuses on non-classical logics and their applications, highlighting the rapid advances and the new perspectives that are emerging in this area. Non-classical logics are logical formalisms that violate or go beyond classical logic laws, and their specific features make them particularly suited to describing and reason about aspects of social interaction. The richness and diversity of non-classical logics mean that this area is a natural catalyst for ideas and insights from many different fields, from information theory to game theory and business science. This volume is the post-proceedings of the 8th International Conference on Logic and Cognition, held at Sun Yat-Sen University Institute of Logic and Cognition (ILC) in Guangzhou, China in December 2016. The conference series started in 2001, and is organized by the ILC, often in collaboration with various international research groups. This eighth installment was jointly organized by ILC and Alessandra Palmigiano's Applied Logic research group. The conference series aims to foster the development of effective logical tools to study social behavior from a philosophical, cognitive and formal perspective in order to challenge the field of logic in ways that open up new and exciting research directions. Chapter "The Category of Node-and-Choice Forms, with Subcategories for Choice-Sequence Forms and Choice-Set Forms" of this book is available open access under a CC BY 4.0 license at link.springer.com
Labelled Non-Classical Logics
| Author | : Luca Viganò |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 295 |
| Release | : 2013-04-17 |
| Genre | : Philosophy |
| ISBN | : 1475732082 |
I am very happy to have this opportunity to introduce Luca Vigano's book on Labelled Non-Classical Logics. I put forward the methodology of labelled deductive systems to the participants of Logic Colloquium'90 (Labelled Deductive systems, a Position Paper, In J. Oikkonen and J. Vaananen, editors, Logic Colloquium '90, Volume 2 of Lecture Notes in Logic, pages 66-68, Springer, Berlin, 1993), in an attempt to bring labelling as a recognised and significant component of our logic culture. It was a response to earlier isolated uses of labels by various distinguished authors, as a means to achieve local proof theoretic goals. Labelling was used in many different areas such as resource labelling in relevance logics, prefix tableaux in modal logics, annotated logic programs in logic programming, proof tracing in truth maintenance systems, and various side annotations in higher-order proof theory, arithmetic and analysis. This widespread local use of labels was an indication of an underlying logical pattern, namely the simultaneous side-by-side manipulation of several kinds of logical information. It was clear that there was a need to establish the labelled deductive systems methodology. Modal logic is one major area where labelling can be developed quickly and sys tematically with a view of demonstrating its power and significant advantage. In modal logic the labels can play a double role.
Belief Revision in Non-Classical Logics
| Author | : Márcio Moretto Ribeiro |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 127 |
| Release | : 2012-08-21 |
| Genre | : Computers |
| ISBN | : 1447141865 |
Since the advent of the Semantic Web, interest in the dynamics of ontologies (ontology evolution) has grown significantly. Belief revision presents a good theoretical framework for dealing with this problem; however, classical belief revision is not well suited for logics such as Description Logics. Belief Revision in Non-Classical Logics presents a framework which can be applied to a wide class of logics that include – besides most Description Logics such as the ones behind OWL – Horn Logic and Intuitionistic logic, amongst others. The author also presents algorithms for the most important constructions in belief bases. Researchers and practitioners in theoretical computing will find this an invaluable resource.
Arnon Avron on Semantics and Proof Theory of Non-Classical Logics
| Author | : Ofer Arieli |
| Publisher | : Springer Nature |
| Total Pages | : 369 |
| Release | : 2021-07-30 |
| Genre | : Philosophy |
| ISBN | : 3030712583 |
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.
Logic in Games
| Author | : Johan Van Benthem |
| Publisher | : MIT Press |
| Total Pages | : 567 |
| Release | : 2014-01-24 |
| Genre | : Computers |
| ISBN | : 0262320304 |
A comprehensive examination of the interfaces of logic, computer science, and game theory, drawing on twenty years of research on logic and games. This book draws on ideas from philosophical logic, computational logic, multi-agent systems, and game theory to offer a comprehensive account of logic and games viewed in two complementary ways. It examines the logic of games: the development of sophisticated modern dynamic logics that model information flow, communication, and interactive structures in games. It also examines logic as games: the idea that logical activities of reasoning and many related tasks can be viewed in the form of games. In doing so, the book takes up the “intelligent interaction” of agents engaging in competitive or cooperative activities and examines the patterns of strategic behavior that arise. It develops modern logical systems that can analyze information-driven changes in players' knowledge and beliefs, and introduces the “Theory of Play” that emerges from the combination of logic and game theory. This results in a new view of logic itself as an interactive rational activity based on reasoning, perception, and communication that has particular relevance for games. Logic in Games, based on a course taught by the author at Stanford University, the University of Amsterdam, and elsewhere, can be used in advanced seminars and as a resource for researchers.
An Introduction to Non-Classical Logic
| Author | : Graham Priest |
| Publisher | : Cambridge University Press |
| Total Pages | : 582 |
| Release | : 2008-04-10 |
| Genre | : Science |
| ISBN | : 1139469673 |
This revised and considerably expanded 2nd edition brings together a wide range of topics, including modal, tense, conditional, intuitionist, many-valued, paraconsistent, relevant, and fuzzy logics. Part 1, on propositional logic, is the old Introduction, but contains much new material. Part 2 is entirely new, and covers quantification and identity for all the logics in Part 1. The material is unified by the underlying theme of world semantics. All of the topics are explained clearly using devices such as tableau proofs, and their relation to current philosophical issues and debates are discussed. Students with a basic understanding of classical logic will find this book an invaluable introduction to an area that has become of central importance in both logic and philosophy. It will also interest people working in mathematics and computer science who wish to know about the area.
Logic, Language, Information and Computation
| Author | : Wilfrid Hodges |
| Publisher | : Springer |
| Total Pages | : 321 |
| Release | : 2008-06-27 |
| Genre | : Philosophy |
| ISBN | : 3540699376 |
Edited in collaboration with FoLLI, the Association of Logic, Language and Information, this book constitutes the 4th volume of the FoLLI LNAI subline; containing the refereed proceedings of the 15th International Workshop on Logic, Language, Information and Computation, WoLLIC 2008, held in Edinburgh, UK, in July 2008. The 21 revised full papers presented together with the abstracts of 7 tutorials and invited lectures were carefully reviewed and selected from numerous submissions. The papers cover all pertinent subjects in computer science with particular interest in cross-disciplinary topics. Typical areas of interest are: foundations of computing and programming; novel computation models and paradigms; broad notions of proof and belief; formal methods in software and hardware development; logical approach to natural language and reasoning; logics of programs, actions and resources; foundational aspects of information organization, search, flow, sharing, and protection.
Practical Reasoning
| Author | : Dov M. Gabbay |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 744 |
| Release | : 1996-05-21 |
| Genre | : Computers |
| ISBN | : 9783540613138 |
This book constitutes the refereed proceedings of the International Conference on Formal and Applied Practical Reasoning, FAPR '96, held in Bonn, Germany, in June 1996. The 51 revised full papers included in the book together with eight posters were carefully selected for presentation at the conference. The book addresses current aspects of the highly interdisciplinary area of practical reasoning in artificial intelligence, philosophy, psychology, linguistics, software engineering, intelligent systems, and industrial applications. Among the topics addressed are user modeling, belief, legal reasoning, argumentation, dialogue logic, default reasoning, analogy, metareasoning, temporal and procedural reasoning, and many others.
