Abstract
Two models of conformon-P systems, one restricted in the number of input conformons and the other restricted in the number of input membranes, are proved to induce infinite hierarchies.
The described systems do not work under the requirement of maximal parallelism and perform deterministic simulations of restricted counter machines.
Preview
Unable to display preview. Download preview PDF.
Similar content being viewed by others
References
Baker, B.S., Book, R.V.: Reversal-bounded multipushdown machines. Journal of Computer and System Science 8, 315–332 (1974)
Bollobás, B.: Extremal graph theory. Academic Press, London (1978)
Chartrand, G., Lesniak, L.: Graphs and Digraphs. Chapman and Hall/CRC (2005)
Freund, R.: Special variants of P systems inducing an infinite hierarchy with respect to the number of membranes. Bulletin of EATCS 75, 209–219 (2001)
Frisco, P.: The conformon-P system: A molecular and cell biology-inspired computability model. Theoretical Computer Science 312(2-3), 295–319 (2004)
Frisco, P.: P systems, petri nets, and program machines. In: Freund, R., Păun, G., Rozenberg, G., Salomaa, A. (eds.) WMC 2005. LNCS, vol. 3850, pp. 209–223. Springer, Heidelberg (2006)
Frisco, P., Gibson, R.T.: A simulator and an evolution program for conformon-P systems. In: SYNASC 2005, 7th International Symposium on Simbolic and Numeric Algorithms for Scientific Computing, pp. 427–430. IEEE Computer Society Press, Los Alamitos (2005); Workshop on Theory and Applications of P Systems, TAPS, Timisoara (Romania), September 26-27, (2005)
Frisco, P., Ji, S.: Conformons-P systems. In: Hagiya, M., Ohuchi, A. (eds.) DNA 2002. LNCS, vol. 2568, pp. 291–301. Springer, Heidelberg (2003)
Frisco, P., Ji, S.: Towards a hierarchy of info-energy P systems. In: Păun, G., Rozenberg, G., Salomaa, A., Zandron, C. (eds.) WMC 2002. LNCS, vol. 2597, pp. 302–318. Springer, Heidelberg (2003)
Green, D.E., Ji, S.: The electromechanical model of mitochondrial structure and function. In: Schultz, J., Cameron, B.F. (eds) Molecular Basis of Electron Transport, pp. 1–44 (1972)
Greibach, S.A.: Remarks on blind and partially blind one-way multicounter machines. Theoretical Computer Science 7, 311–324 (1978)
Hoogeboom, H.J.: Carriers and counters. P-systems with carriers vs. (blind) counter automata. In: Goos, G., Hartmanis, J., van Leeuwen, J. (eds.) Developments in language theory, 6th International conference, DLT 2002, Kyoto, Japan, September (2002); Revised papers, Ito, M., Toyama, M. (eds.) LNCS, vol. 2450, pp. 140–151 (2003)
Hopcroft, J.E., Ullman, D.: Introduction to Automata Theory, Languages, and Computation. Addison-Wesley, Reading (1979)
Ibarra, O.H.: On membrane hierarchy in P systems. Theoretical Computer Science 334, 115–129 (2005)
Ibarra, O.H., Păun, G.: Characterizations of context-sensitive languages and other languages classes in terms of symport/antiport P systems. Theoretical Computer Science (in press, 2006)
Ibarra, O.H., Woodworth, S.: On bounded symport/Antiport P systems. In: Carbone, A., Pierce, N.A. (eds.) DNA 2005. LNCS, vol. 3892, pp. 25–36. Springer, Heidelberg (2006)
Ji, S.: The Bhopalator: a molecular model of the living cell based on the concepts of conformons and dissipative structures. Journal of Theoretical Biology 116, 395–426 (1985)
Ji, S.: The Bhopalator: an information/energy dual model of the living cell (II). Fundamenta Informaticae 49(1-3), 147–165 (2002)
Jones, J.P., Matijasevič, Y.V.: Register machine proof of the theorem on exponential Diophantine representation of enumerable sets. Journal of Symbolic Logic 49(3), 818–829 (1984)
Krishna, S.: Languages of P systems: computability and complexity. PhD thesis, Indian instituto of technology Madras, India (2001)
Minsky, M.L.: Recursive unsolvability of Post’s problem of “tag” and other topics in theory of Turing machines. Annals of Mathematics 74(3), 437–455 (1961)
Minsky, M.L.: Computation: Finite and Infinite Machines. In: Automatic computation. Prentice-Hall, Englewood Cliffs (1967)
Păun, G.: Computing with membranes. Journal of Computer and System Sciences 1(61), 108–143 (2000)
Păun, G.: Membrane Computing. An Introduction. Springer, Heidelberg (2002)
Reisig, W., Rozenberg, G. (eds.): APN 1998. LNCS, vol. 1491. Springer, Heidelberg (1998)
Volkenstein, M.V.: The conformon. Journal of Theoretical Biology 34, 193–195 (1972)
Zandron, C.: P-systems web page: http://psystems.disco.unimib.it
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2006 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Frisco, P. (2006). Infinite Hierarchies of Conformon-P Systems. In: Hoogeboom, H.J., Păun, G., Rozenberg, G., Salomaa, A. (eds) Membrane Computing. WMC 2006. Lecture Notes in Computer Science, vol 4361. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11963516_25
Download citation
DOI: https://doi.org/10.1007/11963516_25
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-69088-7
Online ISBN: 978-3-540-69090-0
eBook Packages: Computer ScienceComputer Science (R0)