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Efficient First-Order Model-Checking Using Short Labels

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Frontiers in Algorithmics (FAW 2008)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 5059))

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Abstract

We prove that there exists an O(log(n))-labeling scheme for every first-order formula with free set variables in every class of graphs that is nicely locally cwd-decomposable, which contains in particular, the nicely locally tree-decomposable classes. For every class of graphs of bounded expansion we prove that every bounded formula has an O(log(n))-labeling scheme. We also prove that every quantifier-free formula has an O(log(n))-labeling scheme in graphs of bounded arboricity. Some of these results are extended to counting queries.

Research supported by the project “Graph decompositions and Algorithms (GRAAL)” of “Agence Nationale pour la Recherche”.

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Authors and Affiliations

  1. LaBRI, CNRS, Université de Bordeaux, France

    Bruno Courcelle, Cyril Gavoille & Mamadou Moustapha Kanté

Authors
  1. Bruno Courcelle
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  2. Cyril Gavoille
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  3. Mamadou Moustapha Kanté
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Editor information

Franco P. Preparata Xiaodong Wu Jianping Yin

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© 2008 Springer-Verlag Berlin Heidelberg

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Courcelle, B., Gavoille, C., Kanté, M.M. (2008). Efficient First-Order Model-Checking Using Short Labels. In: Preparata, F.P., Wu, X., Yin, J. (eds) Frontiers in Algorithmics. FAW 2008. Lecture Notes in Computer Science, vol 5059. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-69311-6_18

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  • DOI: https://doi.org/10.1007/978-3-540-69311-6_18

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-69310-9

  • Online ISBN: 978-3-540-69311-6

  • eBook Packages: Computer ScienceComputer Science (R0)

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