Hierarchies in Dependence Logic

@article{Durand2012HierarchiesID,
  title={Hierarchies in Dependence Logic},
  author={Arnaud Durand and Juha Kontinen},
  journal={ACM Trans. Comput. Log.},
  year={2012},
  volume={13},
  pages={31:1-31:21}
}
We study fragments <i>D</i>(<i>k</i>∀) and <i>D</i>(<i>k</i>-dep) of dependence logic defined either by restricting the number <i>k</i> 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, for any fixed signature, the fragments <i>D</i>(<i>k</i>∀) give rise to an infinite hierarchy with respect to expressive power. On the other hand, for the… CONTINUE READING

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