Enzymatic Numerical P Systems Using Elementary Arithmetic Operations

  • Alberto Leporati
  • Giancarlo Mauri
  • Antonio E. Porreca
  • Claudio Zandron
Part of the Lecture Notes in Computer Science book series (LNCS, volume 8340)

Abstract

We prove that all-parallel enzymatic numerical P systems whose production functions can be expressed as a combination of sums, differences, products and integer divisions characterise PSPACE when working in polynomial time. We also show that, when only sums and differences are available, exactly the problems in P can be solved in polynomial time. These results are proved by showing how EN P systems and random access machines, running in polynomial time and using the same basic operations, can simulate each other efficiently.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2014

Authors and Affiliations

  • Alberto Leporati
    • 1
  • Giancarlo Mauri
    • 1
  • Antonio E. Porreca
    • 1
  • Claudio Zandron
    • 1
  1. 1.Dipartimento di Informatica, Sistemistica e ComunicazioneUniversità degli Studi di Milano-BicoccaMilanoItaly

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