Abstract
A hybrid network of evolutionary processors (an HNEP) is a graph with a language processor, input and output filters associated to each node. A language processor performs one type of point mutations (insertion, deletion or substitution) on the words in that node. The filters are defined by certain variants of random-context conditions. In this paper, we present a universal complete HNEP with 10 nodes simulating circular Post machines and show that every recursively enumerable language can be generated by a complete HNEP with 10 nodes. Thus, we positively answer the question posed in [5] about the possibility to generate an arbitrary recursively enumerable language over an alphabet V with a complete HNEP of a size smaller than 27 + 3·card(V).
The first author gratefully acknowledges the support by Academy of Finland, project 203667. The fourth author gratefully acknowledges the support of European Commission, project MolCIP, MIF1-CT-2006-021666. The first and the fourth authors acknowledge the Science and Technology Center in Ukraine, project 4032.
Access provided by Autonomous University of Puebla. Download to read the full chapter text
Chapter PDF
Similar content being viewed by others
Keywords
References
Alhazov, A., Martín-Vide, C., Rogozhin, Y.: On the number of nodes in universal networks of evolutionary processors. Acta Informatica 43(5), 331–339 (2006)
Alhazov, A., Martín-Vide, C., Rogozhin, Y.: Networks of Evolutionary Processors with Two Nodes Are Unpredictable. In: Pre-Proceedings of the 1st International Conference on Language and Automata Theory and Applications, LATA 2007, GRLMC report 35/07, Rovira i Virgili University, Tarragona, Spain, pp.521–528 (2007)
Alhazov, A., Kudlek, M., Rogozhin, Y.: Nine Universal Circular Post Machines. Computer Science Journal of Moldova 10(3), 247–262 (2002)
Castellanos, J., Martín-Vide, C., Mitrana, V., Sempere, J.: Solving NP-complete problems with networks of evolutionary processors. In: Mira, J., Prieto, A. (eds.) IWANN 2001. LNCS, vol. 2084. Springer, Heidelberg (2001)
Csuhaj-Varjú, E., Martín-Vide, C., Mitrana, V.: Hybrid networks of evolutionary processors are computationally complete. Acta Informatica 41(4-5), 257–272 (2005)
Csuhaj-Varjú, E., Salomaa, A.: Networks of Parallel Language Processors. In: Păun, G., Salomaa, A. (eds.) New Trends in Formal Languages. Control, Cooperation, and Combinatorics. LNCS, vol. 1218, pp. 299–318. Springer, Heidelberg (1997)
Kudlek, M., Rogozhin, Y.: Small Universal Circular Post Machines. Computer Science Journal of Moldova 9(1), 34–52 (2001)
Kudlek, M., Rogozhin, Y.: New Small Universal Circular Post Machines. In: Freivalds, R. (ed.) FCT 2001. LNCS, vol. 2138, pp. 217–227. Springer, Heidelberg (2001)
Martín-Vide, C., Mitrana, V., Perez-Jimenez, M., Sancho-Caparrini, F.: Hybrid networks of evolutionary processors. In: Cantú-Paz, E., et al. (eds.) GECCO 2003. LNCS, vol. 2723, pp. 401–412. Springer, Heidelberg (2003)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2008 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Alhazov, A., Csuhaj-Varjú, E., Martín-Vide, C., Rogozhin, Y. (2008). About Universal Hybrid Networks of Evolutionary Processors of Small Size. In: Martín-Vide, C., Otto, F., Fernau, H. (eds) Language and Automata Theory and Applications. LATA 2008. Lecture Notes in Computer Science, vol 5196. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-88282-4_5
Download citation
DOI: https://doi.org/10.1007/978-3-540-88282-4_5
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-88281-7
Online ISBN: 978-3-540-88282-4
eBook Packages: Computer ScienceComputer Science (R0)