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A Linear Solution for QSAT with Membrane Creation

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Book cover Membrane Computing (WMC 2005)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 3850))

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Abstract

The usefulness of P systems with membrane creation for solving NP problems has been previously proved (see [2, 3]), but, up to now, it was an open problem whether such P systems were able to solve PSPACE-complete problems in polynomial time. In this paper we give an answer to this question by presenting a uniform family of P system with membrane creation which solves the QSAT-problem in linear time.

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Gutiérrez-Naranjo, M.A., Pérez-Jiménez, M.J., Romero-Campero, F.J. (2006). A Linear Solution for QSAT with Membrane Creation. In: Freund, R., Păun, G., Rozenberg, G., Salomaa, A. (eds) Membrane Computing. WMC 2005. Lecture Notes in Computer Science, vol 3850. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11603047_17

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  • DOI: https://doi.org/10.1007/11603047_17

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-30948-2

  • Online ISBN: 978-3-540-32340-2

  • eBook Packages: Computer ScienceComputer Science (R0)

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