By Samson Abramsky, Juha Kontinen, Jouko Väänänen, Heribert Vollmer
In this quantity, diversified points of logics for dependence and independence are mentioned, together with either the logical and computational points of dependence common sense, and in addition purposes in a few components, corresponding to records, social selection conception, databases, and machine safeguard. The contributing authors symbolize prime specialists during this fairly new box, every one of whom used to be invited to write down a bankruptcy in keeping with talks given at seminars held on the Schloss Dagstuhl Leibniz middle for Informatics in Wadern, Germany (in February 2013 and June 2015) and an Academy Colloquium on the Royal Netherlands Academy of Arts and Sciences (March 2014). Altogether, those chapters give you the latest examine this constructing and hugely interdisciplinary box and should be of curiosity to a wide crew of logicians, mathematicians, statisticians, philosophers, and scientists. subject matters coated include
- a entire survey of many propositional, modal, and first-order editions of dependence logic;
- new effects bearing on expressive strength of numerous variations of dependence good judgment with diverse units of logical connectives and generalized dependence atoms;
- connections among inclusion common sense and the least-fixed element logic;
- an evaluation of dependencies in databases by way of addressing the relationships among implication difficulties for fragments of statistical conditional independencies, embedded multivalued dependencies, and propositional logic;
- various Markovian versions used to symbolize dependencies and causality between variables in multivariate systems;
- applications of dependence common sense in social selection concept; and
- an advent to the speculation of mystery sharing, stating connections to dependence and independence logic.
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Additional info for Dependence Logic: Theory and Applications
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