Abstract
This paper presents an evolutionary approach for the search for new complex cellular automata. Two evolutionary algorithms are used: the first one discovers rules supporting gliders and periodic patterns, and the second one discovers glider guns in cellular automata. An automaton allowing us to simulate AND and NOT gates is discovered. The results are a step toward the general simulation of Boolean circuits by this automaton and show that the evolutionary approach is a promising technic for searching for cellular automata that support universal computation.
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References
Gardner, M.: The fantastic combinaisons of john conway’s new solitaire game “ life “. Scientific American (1970)
Gardner, M.: On cellular automata, self-reproduction, the garden of eden, and the game of life. Scientific American 224, 112–118 (1971)
Dytham, C., Shorrocks, B.: Selection, patches and genetic variation: A cellular automata modeling drosophila populations. Evolutionary Ecology 6, 342–351 (1992)
Epstein, I. R.: Spiral waves in chemistry and biology. Science 252 (1991)
Ermentrout, Lotti, G., Margara, L.: Cellular automata approaches to biological modeling. Journal of Theoretical Biology 60, 97–133 (1993)
Wolfram, S.: Universality and complexity in cellular automata. Physica D 10, 1–35 (1984)
Sapin, E., Bailleux, O., Chabrier, J.J.: Research of complexity in cellular automata through evolutionary algorithms (submitted to publication)
Bays, C.: Candidates for the game of life in three dimensions. Complex System 1, 373–400 (1987)
Berlekamp, E., Conway, J.H., Guy, R.: Winning ways for your mathematical plays. Academic press, New York (1970)
Magnier, M., Lattaud, C., Heudin, J.-C.: Complexity classes in the two-dimensional life cellular automata subspace. Complex Systems 11 (1997)
Sapin, E., Bailleux, O., Chabrier, J.J.: Research of a cellular automaton simulating logic gates by evolutionary algorithms. In: Ryan, C., Soule, T., Keijzer, M., Tsang, E.P.K., Poli, R., Costa, E. (eds.) EuroGP 2003. LNCS, vol. 2610, pp. 414–423. Springer, Heidelberg (2003)
Sapin, E., Bailleux, O., Chabrier, J.J.: Rapport technique lersia, université de bourgogne. Publication interne (2003)
Sapin, E., Bailleux, O., Chabrier, J.J.: A new approach of stream duplication in 2d cellular automata. In: Proceeding of SCI 2003 (2003)
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Sapin, E., Bailleux, O., Chabrier, JJ. (2004). Research of Complex Forms in Cellular Automata by Evolutionary Algorithms. In: Liardet, P., Collet, P., Fonlupt, C., Lutton, E., Schoenauer, M. (eds) Artificial Evolution. EA 2003. Lecture Notes in Computer Science, vol 2936. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-24621-3_29
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DOI: https://doi.org/10.1007/978-3-540-24621-3_29
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