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Conditionals and Modularity in General Logics de Dov M. Gabbay

Conditionals and Modularity in General Logics: Cognitive Technologies

Autor Dov M. Gabbay, Karl Schlechta
en Limba Engleză Hardback – 19 aug 2011
This text centers around three main subjects. The first is the concept of modularity and independence in classical logic and nonmonotonic and other nonclassical logic, and the consequences on syntactic and semantical interpolation and language change. In particular, we will show the connection between interpolation for nonmonotonic logic and manipulation of an abstract notion of size. Modularity is essentially the ability to put partial results achieved independently together for a global result. The second aspect of the book is the authors' uniform picture of conditionals, including many-valued logics and structures on the language elements themselves and on the truth value set. The third topic explained by the authors is neighbourhood semantics, their connection to independence, and their common points and differences for various logics, e.g., for defaults and deontic logic, for the limit version of preferential logics, and for general approximation.
The book will be of value to researchers and graduate students in logic and theoretical computer science.
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Specificații

ISBN-13: 9783642190674
ISBN-10: 3642190677
Pagini: 244
Ilustrații: IX, 233 p.
Dimensiuni: 160 x 241 x 18 mm
Greutate: 0.48 kg
Ediția:2011
Editura: Springer
Colecția Cognitive Technologies
Seria Cognitive Technologies

Locul publicării:Berlin, Heidelberg, Germany

Public țintă

Research

Cuprins

Introduction; Basic Definitions; Towards a Uniform Picture of Conditionals; Monotone and Antitone Semantic and Syntactic Interpolation; Laws About Size and Interpolation in Nonmonotonic Logics; Neighbourhood Semantics; Conclusion and Outlook; References; Index
 

Recenzii

From the book reviews:
“The book contains many of the authors’ recently published or unpublished results, which should provide motivation for new research. In their presentation, the authors adhere to the rule that relevant examples must accompany each new notion, making this book easier and more interesting to read. Undoubtedly, this fine and clearly written book will be an appropriate reference for researchers and students in mathematics, logic and theoretical computer science.” (Branislav Boričić, Mathematical Reviews, February, 2015)
“The authors’ work focuses mainly on propositional logic. It consists of seven chapters, where the first chapter is an introduction that presents a useful summary of the topics dealt with in the other chapters, and main results for each of the topics. … this work is suitable for a research seminar in logic which would focus on some of those subjects or related topics.” (Max A. Freund, Zentralblatt MATH, Vol. 1234, 2012)

Notă biografică

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).

Textul de pe ultima copertă

This text centers around three main subjects. The first is the concept of modularity and independence in classical logic and nonmonotonic and other nonclassical logic, and the consequences on syntactic and semantical interpolation and language change. In particular, we will show the connection between interpolation for nonmonotonic logic and manipulation of an abstract notion of size. Modularity is essentially the ability to put partial results achieved independently together for a global result. The second aspect of the book is the authors' uniform picture of conditionals, including many-valued logics and structures on the language elements themselves and on the truth value set. The third topic explained by the authors is neighbourhood semantics, their connection to independence, and their common points and differences for various logics, e.g., for defaults and deontic logic, for the limit version of preferential logics, and for general approximation.
The book will be of value to researchers and graduate students in logic and theoretical computer science.

Caracteristici

The authors present results on modularity and interpolation for monotonic and nonmonotonic logic, using a semantic approach and revealing new insights. The first monograph on this topic. This book is useful for researchers and advanced students.