An optimal construction of Hanf sentences |
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Authors: | Benedikt Bollig Dietrich Kuske |
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Affiliation: | 1. Laboratoire Spécification et Vérification, École Normale Supérieure de Cachan & Centre National de la Recherche Scientifique, France;2. Institut für Theoretische Informatik, TU Ilmenau, Germany |
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Abstract: | We give a new construction of formulas in Hanf normal form that are equivalent to first-order formulas over structures of bounded degree. This is the first algorithm whose running time is shown to be elementary. The triply exponential upper bound is complemented by a matching lower bound. |
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