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Complexity results for dependence logic

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Semantics and Syntax: A Legacy of Alan Turing

Dependence Logic, introduced by Jouko Vnnen in 2007, is a new logic incorporating the concept of dependence into first-order logic. The expressive power of dependence logic coincides with that of existential second-order logic, and the complexity class NP over finite structures. In the past few years, dependence logic has grown into a new framework in which various notions of dependence and independence can be formalized. We review recent results regarding the expressive power and complexity of certain fragments and extensions of dependence logic.

This talk is part of the Isaac Newton Institute Seminar Series series.

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