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On the Power of P Automata

  • Erzsébet Csuhaj-Varjú
  • György Vaszil
Part of the Lecture Notes in Computer Science book series (LNCS, volume 7956)

Abstract

We study the computational power of P automata, variants of symport/antiport P systems which characterize string languages by applying a mapping to the sequence of multisets entering the system during computations. We consider the case when the input mapping is defined in such a way that it maps a multiset to the set of strings consisting of all permutations of its elements. We show that the computational power of this type of P automata is strictly less than so called restricted logarithmic space Turing machines, and we also exhibit a strict infinite hierarchy within the accepted language class based on the number of membranes present in the system.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2013

Authors and Affiliations

  • Erzsébet Csuhaj-Varjú
    • 1
  • György Vaszil
    • 2
  1. 1.Department of Algorithms and Their Applications, Faculty of InformaticsEötvös Loránd UniversityBudapestHungary
  2. 2.Department of Computer Science, Faculty of InformaticsUniversity of DebrecenDebrecenHungary

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