Belief Revision in Non-Classical Logics

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.

Changes of Mind

Changes of Mind
Author: Neil Tennant
Publisher: Oxford University Press
Total Pages: 364
Release: 2012-06-14
Genre: Computers
ISBN: 0199655758

An account of how a rational agent should revise beliefs in the light of new evidence. Computationally implementable, it provides rigorous mathematical theory of dependency networks and investigates the complexity of algorithms for rational agents revising beliefs.

David Makinson on Classical Methods for Non-Classical Problems

David Makinson on Classical Methods for Non-Classical Problems
Author: Sven Ove Hansson
Publisher: Springer Science & Business Media
Total Pages: 432
Release: 2013-12-20
Genre: Philosophy
ISBN: 9400777590

The volume analyses and develops David Makinson’s efforts to make classical logic useful outside its most obvious application areas. The book contains chapters that analyse, appraise, or reshape Makinson’s work and chapters that develop themes emerging from his contributions. These are grouped into major areas to which Makinsons has made highly influential contributions and the volume in its entirety is divided into four sections, each devoted to a particular area of logic: belief change, uncertain reasoning, normative systems and the resources of classical logic. Among the contributions included in the volume, one chapter focuses on the “inferential preferential method”, i.e. the combined use of classical logic and mechanisms of preference and choice and provides examples from Makinson’s work in non-monotonic and defeasible reasoning and belief revision. One chapter offers a short autobiography by Makinson which details his discovery of modern logic, his travels across continents and reveals his intellectual encounters and inspirations. The chapter also contains an unusually explicit statement on his views on the (limited but important) role of logic in philosophy.

An Introduction to Non-Classical Logic

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.

Logical Dynamics of Information and Interaction

Logical Dynamics of Information and Interaction
Author: Johan van Benthem
Publisher: Cambridge University Press
Total Pages: 387
Release: 2011-09-29
Genre: Mathematics
ISBN: 1139500465

This book develops a view of logic as a theory of information-driven agency and intelligent interaction between many agents - with conversation, argumentation and games as guiding examples. It provides one uniform account of dynamic logics for acts of inference, observation, questions and communication, that can handle both update of knowledge and revision of beliefs. It then extends the dynamic style of analysis to include changing preferences and goals, temporal processes, group action and strategic interaction in games. Throughout, the book develops a mathematical theory unifying all these systems, and positioning them at the interface of logic, philosophy, computer science and game theory. A series of further chapters explores repercussions of the 'dynamic stance' for these areas, as well as cognitive science.

Dynamic Epistemic Logic

Dynamic Epistemic Logic
Author: Hans van Ditmarsch
Publisher: Springer Science & Business Media
Total Pages: 303
Release: 2007-05-06
Genre: Philosophy
ISBN: 140205839X

Dynamic Epistemic Logic is the logic of knowledge change. This book provides various logics to support such formal specifications, including proof systems. Concrete examples and epistemic puzzles enliven the exposition. The book also offers exercises with answers. It is suitable for graduate courses in logic. Many examples, exercises, and thorough completeness proofs and expressivity results are included. A companion web page offers slides for lecturers and exams for further practice.

Belief Revision

Belief Revision
Author: Peter Gärdenfors
Publisher: Cambridge University Press
Total Pages: 288
Release: 2003-12-04
Genre: Computers
ISBN: 9780521545648

Belief revision is a topic of much interest in theoretical computer science and logic, and it forms a central problem in research into artificial intelligence. This book contains a collection of research articles on belief revision that are right up to date and an introductory chapter that presents a survey of current research in the area and the fundamentals of the theory.

Logics in Artificial Intelligence

Logics in Artificial Intelligence
Author: Wolfgang Faber
Publisher: Springer Nature
Total Pages: 462
Release: 2021-05-12
Genre: Computers
ISBN: 3030757757

This book constitutes the proceedings of the 17th European Conference on Logics in Artificial Intelligence, JELIA 2021, held as a virtual event, in May 2021. The 27 full papers and 3 short papers included in this volume were carefully reviewed and selected from 68 submissions. The accepted papers span a number of areas within Logics in AI, including: argumentation; belief revision; reasoning about actions, causality, and change; constraint satisfaction; description logics and ontological reasoning; non-classical logics; and logic programming (answer set programming).

A Logical Theory of Nonmonotonic Inference and Belief Change

A Logical Theory of Nonmonotonic Inference and Belief Change
Author: Alexander Bochman
Publisher: Springer Science & Business Media
Total Pages: 439
Release: 2013-03-14
Genre: Computers
ISBN: 3662045605

This is the first book that integrates nonmonotonic reasoning and belief change into a single framework from an artificial intelligence logic point-of-view. The approach to both these subjects is based on a powerful notion of an epistemic state that subsumes both existing models for nonmonotonic inference and current models for belief change. Many results and constructions in the book are completely new and have not appeared earlier in the literature.

Belief Change

Belief Change
Author: Eduardo Fermé
Publisher: Springer
Total Pages: 128
Release: 2018-05-23
Genre: Computers
ISBN: 3319605356

This book explains how the logic of theory change employs formal models in the investigation of changes in belief states and databases. The topics covered include equivalent characterizations of AGM operations, extended representations of the belief states, change operators not included in the original framework, iterated change, applications of the model, its connections with other formal frameworks, and criticism of the model.