A New Perspective on Nonmonotonic Logics

Author:   Dov M. Gabbay ,  Karl Schlechta
Publisher:   Springer International Publishing AG
Edition:   Softcover reprint of the original 1st ed. 2016
ISBN:  

9783319835938


Pages:   365
Publication Date:   29 June 2018
Format:   Paperback
Availability:   Manufactured on demand   Availability explained
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A New Perspective on Nonmonotonic Logics


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Overview

In this book the authors present new results on interpolation for nonmonotonic logics, abstract (function) independence, the Talmudic Kal Vachomer rule, and an equational solution of contrary-to-duty obligations. The chapter on formal construction is the conceptual core of the book, where the authors combine the ideas of several types of nonmonotonic logics and their analysis of 'natural' concepts into a formal logic, a special preferential construction that combines formal clarity with the intuitive advantages of Reiter defaults, defeasible inheritance, theory revision, and epistemic considerations. It is suitable for researchers in the area of computer science and mathematical logic.

Full Product Details

Author:   Dov M. Gabbay ,  Karl Schlechta
Publisher:   Springer International Publishing AG
Imprint:   Springer International Publishing AG
Edition:   Softcover reprint of the original 1st ed. 2016
Dimensions:   Width: 15.50cm , Height: 2.00cm , Length: 23.50cm
Weight:   5.679kg
ISBN:  

9783319835938


ISBN 10:   3319835939
Pages:   365
Publication Date:   29 June 2018
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Manufactured on demand   Availability explained
We will order this item for you from a manufactured on demand supplier.

Table of Contents

Part I - Introduction.- Part II - Background Material.- Basic Algebraic and Logical Definitions.- Defeasible Inheritance.- Reiter Defaults and Autoepistemic Logic.- Preferential Structures and Related Concepts.- Deontic Logic, Contrary-to-Duty Obligations.- Theory Revision, Theory Contraction, and Conditionals.- Neurology.- Part III - New Results.- Independence and Interpolation.- Probabilistic and Abstract Independence.- Formal Construction.- The Talmudic Kal Vachomer Rule.- Equational CTD.- Conclusion.- Index.

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Author Information

Dov Gabbay is the (Emeritus) Augustus de Morgan Professor of Logic at King’s College London, an invited professor at the Université de Luxembourg, a professor at Bar-Ilan University, Israel, and a professor of theoretical computer Science at Ashkelon Academic College, Israel. He is Editor-in-chief of several international journals and handbooks, among them the Handbook of Philosophical Logic. His research interests include logic and computation, proof theory and goal-directed theorem proving, nonclassical logics and nonmonotonic reasoning, labeled deductive systems, fibring logics, and reactive systems. His most recent books include Conditionals and Modularity in General Logics (Springer 2011) and Logical Tools for Handling Change in Agent-Based Systems (Springer 2009). Karl Schlechta is a retired professor of computer science at Aix-Marseille University in France, and a member of the Laboratoire d’Informatique Fondamentale de Marseille. He works on nonmonotonic logics,theory revision, and related subjects, his main interest being the semantical side of these logics and in particular preferential structures and accompanying representation theorems. His books include Coherent Systems (Elsevier 2004), Logical Tools for Handling Change in Agent-Based Systems (Springer 2009), and Conditionals and Modularity in General Logics (Springer 2011). 

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