Abstract
We explore the computability power of the various forms of mobility in membrane computing. First we improve a previous computational completeness result by showing that 5 membranes together with endo, exo, fendo and fexo operations are enough for Turing completeness (it is known that 3 membranes do not suffice). Then we show that 10 membranes along with fendo, fexo; 9 membranes with endo,exo, pendo; 8 membranes with fendo, fexo, pendo and 12 membranes with endo, exo, fendo give computational completeness. When we look at restricted mobility described by rendo, rexo, rfendo and rfexo, we show that they do not give computational completeness; moreover, adding pure mobility to the restricted operations does not lead to the level of RE.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Aman, B., Ciobanu, G.: Describing the Immune System Using Enhanced Mobile Membranes. Electronic Notes in Theoretical Computer Science 194, 5–18 (2008)
Dassow, J., Păun, G.: Regulated Rewriting in Formal Language Theory. Springer, Heidelberg (1989)
Freund, R., Păun, G.: On the number of non-terminal symbols in graph-controlled, programmed and matrix grammars. In: Margenstern, M., Rogozhin, Y. (eds.) MCU 2001. LNCS, vol. 2055, pp. 214–225. Springer, Heidelberg (2001)
Krishna, S.N., Ciobanu, G.: On the Computational Power of Enhanced Mobile Membranes. In: Beckmann, A., Dimitracopoulos, C., Löwe, B. (eds.) CiE 2008. LNCS, vol. 5028, pp. 326–335. Springer, Heidelberg (2008)
Minsky, M.L.: Computation: Finite and Infinite Machines. Prentice-Hall, Englewood Cliffs (1967)
Păun, G.: Computing with Membranes. Journal of Computer and System Sciences 61(1), 108–143 (2000)
Păun, G., Rozenberg, G., Salomaa, A. (eds.): The Oxford Handbook of Membrane Computing. Oxford University Press, Oxford (2010)
Salomaa, A.: Formal Languages. Academic Press, London (1973)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2011 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Krishna, S.N., Ciobanu, G. (2011). Computability Power of Mobility in Enhanced Mobile Membranes. In: Löwe, B., Normann, D., Soskov, I., Soskova, A. (eds) Models of Computation in Context. CiE 2011. Lecture Notes in Computer Science, vol 6735. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-21875-0_17
Download citation
DOI: https://doi.org/10.1007/978-3-642-21875-0_17
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-21874-3
Online ISBN: 978-3-642-21875-0
eBook Packages: Computer ScienceComputer Science (R0)