Titlebook: Dependence Logic; Theory and Applicati Samson Abramsky,Juha Kontinen,Heribert Vollmer Book 2016 Springer International Publishing Switzerla

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, seemingly unrelated subjects, including causality, random 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 ch

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Mónica Rosselli,Valeria L. Torreshe picture, dependency emerges as a facet of the fundamental logical notion of entailment, namely entailment among questions. Besides providing an insightful conceptual picture, this perspective yields a general and well-behaved way of dealing with dependency in logical systems.

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Expressivity and Complexity of Dependence Logic,ants such as independence and inclusion logic. Dependence logic was introduced by Jouko Väänänen in [56]. On the syntactic side, it extends usual first-order logic by the so-called dependence atoms the meaning of which is that the value of .. is functionally determined by the values of .., ., ... Th

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Grelling on Dependence,the ideas of the paper have been subsequently reinvented but one concept, which we call G-dependence, is still genuinely new, and that is the main topic of this paper. We isolate some basic properties of G-dependence and pose the question of finding simple axioms for it.

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On Strongly First-Order Dependencies, (with respect to sentences), and that the totality atoms of arity . + 1 are not definable in terms of the totality atoms of arity .. We furthermore prove that all first-order nullary and unary dependencies are strongly first-order, in the sense that they do not increase the expressive power of firs

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Games for Inclusion Logic and Fixed-Point Logic,logic LFP. Here we re-examine this connection from a game-theoretic point of view. We study the model-checking games for inclusion logic and for posGFP, the fragment of LFP that uses only (non-negated) greatest fixed points. We show that the evaluation problems for both logics can be represented by

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Remarks on Compositionality,ea of compositionality has developed over the last millennium. There are also some brief remarks explaining why, in the author’s view, the idea of compositionality is unlikely to be helpful for putting the subtle non-uniform-definability results of Galliani and Yang into a broader context.

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Dependency as Question Entailment, connection stems from a fundamental relation existing between dependency and questions. Once we expand our view on logic by bringing questions into the picture, dependency emerges as a facet of the fundamental logical notion of entailment, namely entailment among questions. Besides providing an ins

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Approximation Logics for Subclasses of Probabilistic Conditional Independence and Hierarchical Depeental in probability theory and multivariate statistics. Similarly, first-order hierarchical dependence provides an expressive framework to capture the semantics of an application domain within a database system, and is essential for the design of databases. For complete data it is well known that t

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