Overview
In this volume, different aspects of logics for dependence and independence are discussed, including both the logical and computational aspects of dependence logic, and also applications in a number of areas, such as statistics, social choice theory, databases, and computer security. The contributing authors represent leading experts in this relatively new field, each of whom was invited to write a chapter based on talks given at seminars held at the Schloss Dagstuhl Leibniz Center for Informatics in Wadern, Germany (in February 2013 and June 2015) and an Academy Colloquium at the Royal Netherlands Academy of Arts and Sciences (March 2014). Altogether, these chapters provide the most up-to-date look at this developing and highly interdisciplinary field and will be of interest to a broad group of logicians, mathematicians, statisticians, philosophers, and scientists. Topics covered include a comprehensive survey of many propositional, modal, and first-order variants of dependence logic; new results concerning expressive power of several variants of dependence logic with different sets of logical connectives and generalized dependence atoms; connections between inclusion logic and the least-fixed point logic; an overview of dependencies in databases by addressing the relationships between implication problems for fragments of statistical conditional independencies, embedded multivalued dependencies, and propositional logic; various Markovian models used to characterize dependencies and causality among variables in multivariate systems; applications of dependence logic in social choice theory; and an introduction to the theory of secret sharing, pointing out connections to dependence and independence logic.
Full Product Details
Author: Samson Abramsky , Juha Kontinen , Jouko Väänänen , Heribert Vollmer
Publisher: Birkhauser Verlag AG
Imprint: Birkhauser Verlag AG
Edition: Softcover reprint of the original 1st ed. 2016
Dimensions:
Width: 15.50cm
, Height: 1.50cm
, Length: 23.50cm
Weight: 4.453kg
ISBN: 9783319811239
ISBN 10: 3319811231
Pages: 276
Publication Date: 24 June 2018
Audience:
Professional and scholarly
,
Professional & Vocational
Format: Paperback
Publisher's Status: Active
Availability: In Print 
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Table of Contents
Introduction.- Durand, Kontinen, Vollmer, Expressivity and Complexity of Dependence Logic.- Väänänen, Grelling on Dependence.- Galliani, On Strongly First-Order Dependencies.- Grädel, Games for Inclusion Logic and Fixed-Point Logic.- Hodges, Remarks on Compositionality.- Hirvonen, Independence in Model Theory.- Ciardelli, Dependency as Question Entailment.- Link, Approximation Logics for Subclasses of Probabilistic Conditional Independence and Hierarchical Dependence on Incomplete Data.- Nyman, Pensar, Corander, Context-Specific and Local Independence in Markovian Dependence Structures.- Pacuit, Fang, Dependence and Independence in Social Choice: Arrow's Theorem.- Blass, Introduction to Secret-Sharing.
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Author Information
Samson Abramsky, Christopher Strachey Professor of Computing, Department of Computer Science, Oxford University, UK Juha Kontinen, Academy Research Fellow, Department of Mathematics and Statistics, Helsinki University, Finland Jouko Väänänen, Dean of the Faculty of Science and Professor, Department of Mathematics and Statistics, Helsinki University, Finland; Professor, University of Amsterdam, The Netherlands Heribert Vollmer, Faculty of Electrical Engineering and Computer Science, Theoretical Computer Science Institute, University of Hannover, Germany
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