Abstract
We show that P systems with symport/antiport rules sending at most one object per direction generate any recursively enumerable set of natural numbers with three membranes. This improves the previously known best bound of four membranes.
Research supported in part by the Hungarian Scientific Research Fund “OTKA” grant no. F037567, and by the EU commission under the project “MolCoNet” IST-2001-32008.
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References
Bernardini, F., Gheorghe, M.: On the power of minimal symport/antiport. In: Alhazov, A., Martín-Vide, C., Păun, G. (eds.) Workshop on Membrane Computing, WMC 2003, Tarragona. Technical Report 28/03 of the Research Group on Mathematical Linguistics, Rovira i Virgili University, Tarragona, Spain, July 17-22, pp. 72–83 (2003)
Bernardini, F., Păun, A.: Universality of minimal symport/antiport: Five membranes suffice. In: Martín-Vide, C., Mauri, G., Păun, G., Rozenberg, G., Salomaa, A. (eds.) WMC 2003. LNCS, vol. 2933, pp. 43–54. Springer, Heidelberg (2004)
Kari, L., Martín-Vide, C., Păun, A.: On the universality of P systems with minimal symport/antiport rules. In: Jonoska, N., Păun, G., Rozenberg, G. (eds.) Aspects of Molecular Computing. LNCS, vol. 2950, pp. 254–265. Springer, Heidelberg (2003)
Frisco, P.: About P systems with symport/antiport. In: Păun, G., Riscos-Núñez, A., Romero-Jiménez, A., Sancho-Caparrini, F. (eds.) Second Brainstorming Week in Membrane Computing, Sevilla. Technical Report 01/2004 of the Research Group in Natural Computing, University of Sevilla, Spain, February 2-7, 2004, pp. 224–236 (2004)
Frisco, P., Hoogeboom, H.J.: P systems with symport/antiport simulating counter automata (Submitted)
Martín-Vide, C., Păun, A., Păun, G.: On the power of P systems with symport rules. Journal of Universal Computer Science 8, 317–331 (2002)
Martín-Vide, C., Păun, A., Păun, G., Rozenberg, G.: Membrane systems with coupled transport. Fundamenta Informaticae 49, 1–15 (2002)
Păun, A., Păun, G.: The power of communication: P systems with symport/antiport. New Generation Computing 20(3), 295–306 (2002)
Păun, G.: Computing with Membranes. Journal of Computer and System Sciences 61(1), 108–143 (2000)
Păun, G.: Membrane Computing. An Introduction. Springer, Berlin (2002)
Rozenberg, G., Salomaa, A. (eds.): Handbook of Formal Languages. Springer, Berlin (1997)
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Vaszil, G. (2005). On the Size of P Systems with Minimal Symport/Antiport. In: Mauri, G., Păun, G., Pérez-Jiménez, M.J., Rozenberg, G., Salomaa, A. (eds) Membrane Computing. WMC 2004. Lecture Notes in Computer Science, vol 3365. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-31837-8_26
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DOI: https://doi.org/10.1007/978-3-540-31837-8_26
Publisher Name: Springer, Berlin, Heidelberg
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