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Active Membrane Systems Without Charges and Using Only Symmetric Elementary Division Characterise P

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Book cover Membrane Computing (WMC 2007)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 4860))

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Abstract

In this paper we introduce a variant of membrane systems with elementary division and without charges. We allow only elementary division where the resulting membranes are identical; we refer to this using the biological term symmetric division. We prove that this model characterises P and introduce logspace uniform families. This result characterises the power of a class of membrane systems that fall under the so-called P conjecture for membrane systems.

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George Eleftherakis Petros Kefalas Gheorghe Păun Grzegorz Rozenberg Arto Salomaa

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Murphy, N., Woods, D. (2007). Active Membrane Systems Without Charges and Using Only Symmetric Elementary Division Characterise P. In: Eleftherakis, G., Kefalas, P., Păun, G., Rozenberg, G., Salomaa, A. (eds) Membrane Computing. WMC 2007. Lecture Notes in Computer Science, vol 4860. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-77312-2_23

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  • DOI: https://doi.org/10.1007/978-3-540-77312-2_23

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-77311-5

  • Online ISBN: 978-3-540-77312-2

  • eBook Packages: Computer ScienceComputer Science (R0)

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