Hierarchies in Dependence Logic

Abstract

We study fragments of dependence logic defined either by restricting the number k of universal quantifiers or the width of dependence atoms in formulas. We find the sublogics of existential second-order logic corresponding to these fragments of dependence logic. We also show that these both ways of defining fragments of dependence logic give rise to a hierarchy in expressive power with respect to k.

21 pages

Cited by in corpus (3)

• Axiomatizing first order consequences in dependence logic
• On Strongly First-Order Dependencies
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