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Finite-Degree Predicates and Two-Variable First-Order Logic
Published 18 Jul 2015 in cs.LO | (1507.05175v2)
Abstract: We consider two-variable first-order logic on finite words with a fixed number of quantifier alternations. We show that all languages with a neutral letter definable using the order and finite-degree predicates are also definable with the order predicate only. From this result we derive the separation of the alternation hierarchy of two-variable logic on this signature.
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