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Elementary Active Membranes Have the Power of Counting

Author

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  • Antonio E. Porreca

    (Università degli Studi di Milano–Bicocca, Italy)

  • Alberto Leporati

    (Università degli Studi di Milano–Bicocca, Italy)

  • Giancarlo Mauri

    (Università degli Studi di Milano–Bicocca, Italy)

  • Claudio Zandron

    (Università degli Studi di Milano–Bicocca, Italy)

Abstract

P systems with active membranes have the ability of solving computationally hard problems. In this paper, the authors prove that uniform families of P systems with active membranes operating in polynomial time can solve the whole class of PP decision problems, without using nonelementary membrane division or dissolution rules. This result also holds for families having a stricter uniformity condition than the usual one.

Suggested Citation

  • Antonio E. Porreca & Alberto Leporati & Giancarlo Mauri & Claudio Zandron, 2011. "Elementary Active Membranes Have the Power of Counting," International Journal of Natural Computing Research (IJNCR), IGI Global, vol. 2(3), pages 35-48, July.
    • Handle: RePEc:igg:jncr00:v:2:y:2011:i:3:p:35-48
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