Dependence logic : theory and applications / edited by Samson Abramsky, Juha Kontinen, Jouko Väänänen, Heribert Vollmer.

Format:

Book

Contributor:

Abramsky, Samson., Editor.

Kontinen, Juha., Editor.

Väänänen, Jouko, Editor.

Vollmer, Heribert., Editor.

Language:

English

Subjects (All):

Logic, Symbolic and mathematical.

Logic.

Mathematical Logic and Foundations.

Mathematical Logic and Formal Languages.

Local Subjects:

Mathematical Logic and Foundations.

Mathematical Logic and Formal Languages.

Logic.

Physical Description:

1 online resource (286 p.)

Edition:

1st ed. 2016.

Place of Publication:

Cham : Springer International Publishing : Imprint: Birkhäuser, 2016.

Summary:

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.

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.

Notes:

Description based upon print version of record.

Includes bibliographical references at the end of each chapters.

ISBN:

3-319-31803-9