Abstract
We consider a way to associate a language with the computations of a tissue P system. We assign a label to every rule, where the labels are chosen from an alphabet or the label can be λ. The rules used in a transition should have either the empty label or the same label from the chosen alphabet. In this way, a string is associated with each halting computation, called the control word of the computation. The set of all control words associated with computations in a tP system form the control language of the system. We study the family of control languages of tP systems in comparison with the families of finite, regular, context-free, context-sensitive, and recursively enumerable languages.
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.
Similar content being viewed by others
References
Păun, G.: Computing with membranes. Journal of Computer and System Science 61(1), 108–143 (2000)
Păun, G.: Membrane Computing - An Introduction. Springer, Berlin (2002)
Păun, G., Rozenberg, G., Salomaa, A. (eds.): The Oxford Handbook of Membrane Computing. Oxford Univ. Press (2010)
Martín-Vide, C., Păun, G., Pazos, J., Rodríguez-Patón, A.: Tissue P systems. Theoretical Computer Science 296, 295–326 (2003)
Alhazov, A., Ciubotaru, C., Ivanov, S., Rogozhin, Y.: The family of languages generated by non-cooperative membrane systems. In: Gheorghe, M., Hinze, T., Păun, G., Rozenberg, G., Salomaa, A. (eds.) CMC 2010. LNCS, vol. 6501, pp. 65–80. Springer, Heidelberg (2010)
Alhazov, A., Ciubotaru, C., Rogozhin, Y., Ivanov, S.: The membrane systems language class. In: Proc. Eighth Brainstorming Week on Membrane Computing, Sevilla, pp. 23–35 (2010); Proc. LA Symposium. RIMS Kôkyûroku Series 1691, Kyoto University, pp. 44–50 (2010)
Ibarra, O.H., Păun, G.: Characterizations of context-sensitive languages and other language classes in terms of symport/antiport P systems. Theoretical Computer Science 358, 88–103 (2006)
Ionescu, M., Martín-Vide, C., Păun, G.: P systems with symport/antiport rules: The traces of objects. Grammars 5, 65–79 (2002)
Păun, G.: Languages in membrane computing: Some details for spiking neural P systems. In: Ibarra, O.H., Dang, Z. (eds.) DLT 2006. LNCS, vol. 4036, pp. 20–35. Springer, Heidelberg (2006)
Păun, G., Rozenberg, G., Salomaa, A.: Membrane computing with an external output. Fundamenta Informaticae 41(3), 313–340 (2000)
Ionescu, M.: Membrane Computing. Traces, Neural Inspired Models, Controls, PhD Thesis, URV Tarragona (2008)
Minsky, M.: Computation - Finite and infinite Machines. Prentice Hall, Englewood Cliffs (1967)
Krithivasan, K., Păun, G., Ramanujan, A.: Control words associated with P systems. In: Gheorghe, M., Păun, G., Pérez-Jiménez, M.J. (eds.) Proceedings of 10th Brainstorming Week on Membrane Computing, Frontiers of Membrane Computing: Open Problems and Research Topics, Sevilla, vol. II, pp. 171–250 (2012)
Ramanujan, A., Krithivasan, K.: Control words of spiking neural P systems. Romanian J. of Information Science and Technology (to appear)
Păun, G., Pérez-Jiménez, M.J.: Languages and P systems: recent developments (manuscript)
Ramanujan, A., Krithivasan, K.: Control Words of Transition P Systems. In: Bansal, J.C., Singh, P.K., Deep, K., Pant, M., Nagar, A.K. (eds.) BIC-TA 2012. AISC, vol. 201, pp. 145–155. Springer, Heidelberg (2013)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2013 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Ramanujan, A., Krithivasan, K. (2013). Control Languages Associated with Tissue P Systems. In: Mauri, G., Dennunzio, A., Manzoni, L., Porreca, A.E. (eds) Unconventional Computation and Natural Computation. UCNC 2013. Lecture Notes in Computer Science, vol 7956. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-39074-6_18
Download citation
DOI: https://doi.org/10.1007/978-3-642-39074-6_18
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-39073-9
Online ISBN: 978-3-642-39074-6
eBook Packages: Computer ScienceComputer Science (R0)