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Computer Science > Formal Languages and Automata Theory

arXiv:1708.06458v1 (cs)
[Submitted on 22 Aug 2017]

Title:(Tissue) P Systems with Vesicles of Multisets

Authors:Artiom Alhazov (Institute of Mathematics and Computer Science, Academy of Sciences of Moldova), Rudolf Freund (Faculty of Informatics, TU Wien), Sergiu Ivanov (TIMC-IMAG/DyCTiM, Faculty of Medicine of Grenoble), Sergey Verlan (Laboratoire d'Algorithmique, Complexité et Logique, Université Paris Est Créteil)
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Abstract:We consider tissue P systems working on vesicles of multisets with the very simple operations of insertion, deletion, and substitution of single objects. With the whole multiset being enclosed in a vesicle, sending it to a target cell can be indicated in those simple rules working on the multiset. As derivation modes we consider the sequential mode, where exactly one rule is applied in a derivation step, and the set maximal mode, where in each derivation step a non-extendable set of rules is applied. With the set maximal mode, computational completeness can already be obtained with tissue P systems having a tree structure, whereas tissue P systems even with an arbitrary communication structure are not computationally complete when working in the sequential mode. Adding polarizations (-1, 0, 1 are sufficient) allows for obtaining computational completeness even for tissue P systems working in the sequential mode.
Comments: In Proceedings AFL 2017, arXiv:1708.06226
Subjects: Formal Languages and Automata Theory (cs.FL)
ACM classes: F.1.1; F.4.2
Cite as: arXiv:1708.06458 [cs.FL]
  (or arXiv:1708.06458v1 [cs.FL] for this version)
  https://doi.org/10.48550/arXiv.1708.06458
Journal reference: EPTCS 252, 2017, pp. 11-25
Related DOI: https://doi.org/10.4204/EPTCS.252.6

Submission history

From: EPTCS [view email] [via EPTCS proxy]
[v1] Tue, 22 Aug 2017 00:47:36 UTC (30 KB)
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