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Dependence Logic - Theory and Applications (Paperback, Softcover reprint of the original 1st ed. 2016)
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Dependence Logic - Theory and Applications (Paperback, Softcover reprint of the original 1st ed. 2016)
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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.
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