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arXiv · 2009.11758

Successor-Invariant First-Order Logic on Classes of Bounded Degree

Julien Grange
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Abstract

We study the expressive power of successor-invariant first-order logic, which is an extension of first-order logic where the usage of an additional successor relation on the structure is allowed, as long as the validity of formulas is independent of the choice of a particular successor on finite structures. We show that when the degree is bounded, successor-invariant first-order logic is no more expressive than first-order logic.

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Julien Grange. 2020-09-24. Successor-Invariant First-Order Logic on Classes of Bounded Degree. https://doi.org/10.46298/lmcs-17(3%3A20)2021

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