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Hybrid Logics and NP Graph Properties

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Logic, Language, Information and Computation (WoLLIC 2011)

Abstract

We show that for each property of graphs \(\mathcal{G}\) in NP there is a sequence φ 1, φ 2, ... of formulas of the full hybrid logic which are satisfied exactly by the frames in \(\mathcal{G}\). Moreover, the size of φ n is bounded by a polynomial. We also show that the same holds for each graph property in the polynomial hierarchy.

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© 2011 Springer-Verlag Berlin Heidelberg

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Ferreira, F.M., Freire, C.M., Benevides, M.R.F., Schechter, L.M., Martins, A.T. (2011). Hybrid Logics and NP Graph Properties. In: Beklemishev, L.D., de Queiroz, R. (eds) Logic, Language, Information and Computation. WoLLIC 2011. Lecture Notes in Computer Science(), vol 6642. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-20920-8_15

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  • DOI: https://doi.org/10.1007/978-3-642-20920-8_15

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-20919-2

  • Online ISBN: 978-3-642-20920-8

  • eBook Packages: Computer ScienceComputer Science (R0)

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