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Conditionals and Modularity in General Logics / Edition 1

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Overview

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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Editorial Reviews

From the Publisher

From the reviews:

“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)

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Product Details

  • ISBN-13: 9783642190674
  • Publisher: Springer Berlin Heidelberg
  • Publication date: 8/31/2011
  • Series: Cognitive Technologies Series
  • Edition description: 2011
  • Edition number: 1
  • Pages: 233
  • Product dimensions: 6.20 (w) x 9.30 (h) x 0.90 (d)

Meet the Author

The first author is one of the foremost authorities on nonclassical logics and their applications in computing, the second author has written three related research monographs.

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Table of Contents

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

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