Purely Catalytic P Systems over Integers and Their Generative Power

  • Artiom Alhazov
  • Omar Belingheri
  • Rudolf FreundEmail author
  • Sergiu Ivanov
  • Antonio E. Porreca
  • Claudio Zandron
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 10105)


We further investigate the computing power of the recently introduced P systems with \(\mathbb Z\)-multisets (also known as hybrid sets) as generative devices. These systems apply catalytic rules in the maximally parallel way, even consuming absent non-catalysts, thus effectively generating vectors of arbitrary (not just non-negative) integers. The rules may only be made inapplicable by dissolution rules. However, this releases the catalysts into the immediately outer region, where new rules might become applicable to them. We discuss the generative power of this model. Finally, we consider the variant with mobile catalysts.


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Copyright information

© Springer International Publishing AG 2017

Authors and Affiliations

  • Artiom Alhazov
    • 1
  • Omar Belingheri
    • 2
  • Rudolf Freund
    • 3
    Email author
  • Sergiu Ivanov
    • 4
  • Antonio E. Porreca
    • 2
  • Claudio Zandron
    • 2
  1. 1.Academy of Sciences of MoldovaInstitute of Mathematics and Computer ScienceChişinăuMoldova
  2. 2.Dipartimento di Informatica, Sistemistica e ComunicazioneUniversità Degli Studi di Milano-BicoccaMilanoItaly
  3. 3.Faculty of InformaticsTU WienViennaAustria
  4. 4.Université Paris EstChamps-sur-MarneFrance

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