Abstract
P systems, introduced by Gh. PĂun, form a new class of distributed computing models. Many variants of P systems were shown to be computationally universal. In this paper, we consider several classes of P systems with symbol-objects where we allow the catalysts to move in and out of a membrane. We prove universality results for these variants of P systems with a very small number of membranes.
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References
J. Dassow, Gh. Păun, Regulated Rewriting in Formal Language Theory, Springer-Verlag, Berlin, 1989.
R. Freund, C. Martin-Vide, Gh. Păun, Computing with membranes: Three morecollapsing hierarchies, submitted, 2000.
R. Freund, Gh. Păun, On the number of nonterminals in graph-controlled, programmed,and matrix grammars, Proc. of MCU Conf.. Chisinău, Moldova, 2001.
M. Ito, C. Martin-Vide, Gh. Păun, A characterization of Parikh sets of ET0Llanguages in terms of P systems, in vol. Words, Semigroups, Transducers (M. Ito, Gh. Păun, S. Yu, eds.), World Scientific, Singapore, 2001, in press.
S.N. Krishna, Computing with simple P systems, Workshop on Multiset Processing,Curtea de Argesc Romania, 2000.
M. Madhu, K. Krithivasan, P systems with membrane creation: Universality andeficiency, Proc. of MCU Conf.. Chisinău, Moldova, 2001.
Gh. Păun, Six nonterminals are enough for generating each r.e. language by amatrix grammar, Intern. J. Computer Math., 15 (1984), 23–37.
Gh. Păun, Computing with membranes, Journal of Computer and System Sciences,61, 1 (2000), 108–143.
Gh. Păun, Computing with membranes. A variant: P systems with polarized membranes,Intern. J. of Foundations of Computer Science, 11, 1 (2000), 167–182.
Gh. Păun, Computing with membranes: Attacking NP-complete problems, Unconventional Models of Computation-UMC2K ( I. Antoniou, C. S. Calude, M. J. Dinneen, eds.), Springer-Verlag, London, 2000, 94–115.
Gh. Păun, Computing with membranes (P systems): Twenty six research topics,Auckland University, CDMTCS Report No 119, 2000. (http://www.cs.auckland.ac.nz/CDMTCS).
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Mutyam, M., Krithivasan, K. (2001). Universality Results for Some Variants of P Systems. In: Calude, C.S., PĂun, G., Rozenberg, G., Salomaa, A. (eds) Multiset Processing. WMC 2000. Lecture Notes in Computer Science, vol 2235. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-45523-X_12
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DOI: https://doi.org/10.1007/3-540-45523-X_12
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