Dependence Logic: Theory and Applications by Samson Abramsky,Juha Kontinen,Jouko Väänänen,Heribert

By Samson Abramsky,Juha Kontinen,Jouko Väänänen,Heribert Vollmer

In this quantity, diversified elements of logics for dependence and independence are mentioned, together with either the  logical and computational elements of dependence good judgment, and in addition functions  in a few components, comparable to facts, social selection thought, databases, and machine defense.  The contributing authors signify major specialists during this really new box, each one of whom was once invited to jot down a bankruptcy in accordance with talks given at seminars held on the Schloss Dagstuhl Leibniz heart 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 newest examine this constructing and hugely interdisciplinary box and should be of curiosity to a large workforce of logicians, mathematicians, statisticians, philosophers, and scientists. subject matters lined include
  • a finished survey of many propositional, modal, and first-order editions of dependence logic;
  • new effects relating expressive strength of numerous versions of dependence good judgment with varied units of logical connectives and generalized dependence atoms;
  • connections among inclusion good judgment and the least-fixed element logic;
  • an review of dependencies in databases by means of addressing the relationships among implication difficulties for fragments of statistical conditional independencies, embedded multivalued dependencies, and propositional logic;
  • various Markovian versions used to represent dependencies and causality between variables in multivariate systems;
  • applications of dependence good judgment in social selection idea; and
  • an creation to the speculation of mystery sharing, mentioning connections to dependence and independence logic.

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