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Dependence Logic Theory and Applications

Автор: Bo0mB0om » 16 июля 2016
Dependence Logic Theory and Applications
Dependence Logic: Theory and Applications
Birkhäuser | Mathematics | July 31, 2016 | ISBN-10: 3319318012 | 261 pages | pdf | 3.48 mb


Editors: Abramsky, S., Kontinen, J., Väänänen, J., Vollmer, H. (Eds.)
Covers a relatively new area of logic, introduced by Väänänen, that has seen rapid development
Dependence logic has applications in numerous, seemingly unrelated subjects, including causality, random variables in statistics, database theory, Mendelian genetics, and quantum physics
Will be of interest to a broad group of logicians, mathematicians, statisticians, philosophers, and scientists
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.
Number of Illustrations and Tables
23 b/w illustrations
Topics
Mathematical Logic and Foundations
Mathematical Logic and Formal Languages
Logic

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