Abstract
We introduce a new variant of splicing P systems, where the rules are directly assigned to the membranes and not to the regions as this is usually observed in the area of membrane systems. The strings involved in the splicing operation are either taken from inside or from outside the membrane and the strings resulting from the splicing operation also may go inside or outside the membrane. Instead of the splicing operation, also the operations of cutting and recombination are used as rules assigned to membranes. For the application of rules leading from one configuration of the system to the succeeding configuration we consider a sequential model and do not use the model of maximal parallelism. We will show that for such sequential P systems using splicing rules or cutting/recombination rules assigned to the skin membrane we already obtain universal computational power with only one membrane.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Similar content being viewed by others
References
Adleman, L.M.: Molecular computation of solutions to combinatorial problems. Science 226, 1021–1024 (1994)
Csuhaj-Varjú, E., Kari, L., Păun, G.: Test tube distributed systems based on splicing. Computers and Artificial Intelligence 15(2), 211–232 (1996)
Dassow, J., Păun, G.: On the power of membrane computing. Journal of Universal Computer Science 5(2), 33–49 (1999), http://www.iicm.edu/jucs
Dassow, J., Păun, G.: Regulated Rewriting in Formal Language Theory. Springer, Heidelberg (1989)
Freund, R.: Generalized P-systems. In: Ciobanu, G., Păun, G. (eds.) FCT 1999. LNCS, vol. 1684, pp. 281–292. Springer, Heidelberg (1999)
Freund, R., Csuhaj-Varjú, E., Wachtler, F.: Test tube systems with cutting/ recombination operations. In: Proceedings PSB 1997, pp. 163–174. World Scientific, Singapore (1997)
Freund, R., Freund, F.: Molecular computing with generalized homogenous Psystems, DNA Computing. In: Condon, A., Rozenberg, G. (eds.) DNA 2000. LNCS, vol. 2054, pp. 130–144. Springer, Heidelberg (2001)
Freund, R., Freund, F.: Test tube systems: When two tubes are enough. In: Rozenberg, G., Thomas, W. (eds.) Developments in Language Theory, Foundations, Applications and Perspectives, pp. 338–350. World Scientific Publishing Co., Singapore (2000)
Freund, R., Kari, L.: DNA computing based on splicing: The existence of universal computers. Theory of Computing Systems 32, 69–112 (1999)
Freund, R., Oswald, M.: P systems with conditional communication rules assigned to membranes. In: Martín-Vide, C., Mauri, G., Păun, G., Rozenberg, G., Salomaa, A. (eds.) WMC 2003. LNCS, vol. 2933, pp. 191–202. Springer, Heidelberg (2004)
Freund, R., Wachtler, F.: Universal systems with operations related to splicing. Computers and Artificial Intelligence 15(4), 273–294 (1996)
Păun, G.: Computing with membranes. Journal of Computer and System Sciences 61(1), 108–143 (2000), http://www.tucs.fi ; and TUCS Research Report 208 (1998)
Păun, G.: Computing with membranes: an introduction. Bulletin EATCS 67, 139–152 (1999)
Păun, G.: Membrane Computing: An Introduction. Springer, Berlin (2002)
Păun, G.: Regular extended H systems are computationally universal. Journal of Automata, Languages and Combinatorics 1(1), 27–37 (1996)
Păun, G., Rozenberg, G., Salomaa, A.: DNA Computing. In: New Computing Paradigms. Springer, Berlin (1998)
Pixton, D.: Splicing in abstract families of languages. Theoretical Computer Science 234, 135–166 (2000)
Priese, L., Rogozhin, Y., Margenstern, M.: Finite H-systems with 3 test tubes are not predictable. In: Altman, R.B., Dunker, A.K., Hunter, L., Klein, T.E. (eds.) Proceedings of Pacific Symposium on Biocomputing, Kapalua, Maui, January 1998, pp. 545–556. World Scientific Publishing Co., Singapore (1998)
Rozenberg, G., Salomaa, A. (eds.): Handbook of Formal Languages. Springer, Berlin (1997)
Verlan, S.: About splicing P systems with immediate communication and non-extended splicing P systems. In: Martín-Vide, C., Mauri, G., Păun, G., Rozenberg, G., Salomaa, A. (eds.) WMC 2003. LNCS, vol. 2933, pp. 369–382. Springer, Heidelberg (2004)
The P Systems Web Page, http://psystems.disco.unimib.it
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2004 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Freund, F., Freund, R., Oswald, M., Margenstern, M., Rogozhin, Y., Verlan, S. (2004). P Systems with Cutting/Recombination Rules Assigned to Membranes. In: Martín-Vide, C., Mauri, G., Păun, G., Rozenberg, G., Salomaa, A. (eds) Membrane Computing. WMC 2003. Lecture Notes in Computer Science, vol 2933. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-24619-0_14
Download citation
DOI: https://doi.org/10.1007/978-3-540-24619-0_14
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-20895-2
Online ISBN: 978-3-540-24619-0
eBook Packages: Springer Book Archive