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arXiv · 1401.3232

Hierarchies in independence and inclusion logic with strict semantics

Miika Hannula·Juha Kontinen
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Abstract

We study the expressive power of fragments of inclusion and independence logic defined by restricting the number k of universal quantifiers in formulas. Assuming the so-called strict semantics for these logics, we relate these fragments of inclusion and independence logic to sublogics ESO_f(k\forall) of existential second-order logic, which in turn are known to capture the complexity classes NTIME_{RAM}(n^k).

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Miika Hannula, Juha Kontinen. 2014-01-14. Hierarchies in independence and inclusion logic with strict semantics. https://arxiv.org/abs/1401.3232

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