Cellular Automaton as Sorting Network Generator Using Instruction-Based Development

  • Michal Bidlo
  • Zdenek Vasicek
Part of the Lecture Notes in Computer Science book series (LNCS, volume 7495)


A new cellular automaton-based approach allowing to generate sorting networks is presented. Since the traditional table-based transition function in this case involves excessive number of rules, a program-based representation of the transition function is applied. The sorting networks are encoded by the cell states and generated during the cellular automaton development. The obtained results are compared with our previous approaches utilizing cellular automata.


cellular automaton sorting network instruction-based development evolutionary design 


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  1. 1.
    Bidlo, M., Vasicek, Z.: Gate-level evolutionary development using cellular automata. In: Proc. of The 3nd NASA/ESA Conference on Adaptive Hardware and Systems, AHS 2008, pp. 11–18. IEEE Computer Society (2008)Google Scholar
  2. 2.
    Bidlo, M., Vasicek, Z.: Comparison of the uniform and non-uniform cellular automata-based approach to the development of combinational circuits. In: Proc. of The 4th NASA/ESA Conference on Adaptive Hardware and Systems, AHS 2009, pp. 423–430. IEEE Computer Society (2009)Google Scholar
  3. 3.
    Bidlo, M., Vasicek, Z.: Instruction-based development of cellular automata. In: Proc. of The 2012 IEEE Congress on Evolutionary Computatio, CEC 2012, IEEE Computer Society (2012)Google Scholar
  4. 4.
    Bidlo, M., Vasicek, Z., Slany, K.: Sorting Network Development Using Cellular Automata. In: Tempesti, G., Tyrrell, A.M., Miller, J.F. (eds.) ICES 2010. LNCS, vol. 6274, pp. 85–96. Springer, Heidelberg (2010)CrossRefGoogle Scholar
  5. 5.
    Bidlo, M., Škarvada, J.: Instruction-based development: From evolution to generic structures of digital circuits. International Journal of Knowledge-Based and Intelligent Engineering Systems 12(3), 221–236 (2008)Google Scholar
  6. 6.
    Choi, S.S., Moon, B.R.: Isomorphism, normalization, and a genetic algorithm for sorting network optimization. In: GECCO 2002: Proceedings of the Genetic and Evolutionary Computation Conference, pp. 327–334. Morgan Kaufmann Publishers Inc., San Francisco (2002)Google Scholar
  7. 7.
    Haddow, P.C., Tufte, G.: Bridging the genotype–phenotype mapping for digital FPGAs. In: Proc. of the 3rd NASA/DoD Workshop on Evolvable Hardware, pp. 109–115. IEEE Computer Society, Los Alamitos (2001)CrossRefGoogle Scholar
  8. 8.
    Koza, J.R., Keane, M.A., Streeter, M.J., Mydlowec, W., Yu, J., Lanza, G.: Genetic Programming IV: Routine Human-Competitive Machine Intelligence. Kluwer Academic Publishers (2003)Google Scholar
  9. 9.
    Knuth, D.E.: The Art of Computer Programming: Sorting and Searching, 2nd edn. Addison Wesley (1998)Google Scholar
  10. 10.
    Miller, J.F.: Evolving Developmental Programs for Adaptation, Morphogenesis, and Self-Repair. In: Banzhaf, W., Ziegler, J., Christaller, T., Dittrich, P., Kim, J.T. (eds.) ECAL 2003. LNCS (LNAI), vol. 2801, pp. 256–265. Springer, Heidelberg (2003)CrossRefGoogle Scholar
  11. 11.
    Miller, J.F., Thomson, P.: A Developmental Method for Growing Graphs and Circuits. In: Tyrrell, A.M., Haddow, P.C., Torresen, J. (eds.) ICES 2003. LNCS, vol. 2606, pp. 93–104. Springer, Heidelberg (2003)CrossRefGoogle Scholar
  12. 12.
    von Neumann, J.: The Theory of Self-Reproducing Automata. In: Burks, A.W. (ed.) University of Illinois Press (1966)Google Scholar
  13. 13.
    Kumar, S., Bentley, P.J. (eds.): On Growth, Form and Computers. Elsevier Academic Press (2003)Google Scholar
  14. 14.
    Tufte, G., Haddow, P.C.: Towards development on a silicon-based cellular computing machine. Natural Computing 4(4), 387–416 (2005)MathSciNetzbMATHCrossRefGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2012

Authors and Affiliations

  • Michal Bidlo
    • 1
  • Zdenek Vasicek
    • 1
  1. 1.Faculty of Information Technology, IT4Innovations Centre of ExcellenceBrno University of TechnologyBrnoCzech Republic

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