Representation of some cellular automata by means of equivalent L Systems

作者: Manuel Alfonseca , Alfonso Ortega

DOI:

关键词: Stochastic cellular automatonMathematicsAutomata theoryMobile automatonω-automatonQuantum finite automataCellular automatonTheoretical computer scienceQuantum cellular automatonContinuous spatial automaton

摘要: This paper presents some facts that make cellular automata parallel to L Systems. Several examples of are considered and equivalent Systems constructed. A general procedure should be able manage n-dimensional automata, thus one-dimensional, twodimensional three-dimensional studied here. Some recommendations generalise the techniques given. The comments on difficulties develop a reasons give several instead an algorithm.

参考文章(13)
György E. Révész, Introduction to formal languages ,(1983)
Arthur Walter Burks, Essays on cellular automata ,(1970)
Vito Volterra, Marcel Brelot, Leçons sur la théorie mathématique de la lutte pour la vie Éditions Jacques Gabay. ,(1931)
André Stauffer, Moshe Sipper, On the relationship between cellular automata and L-systems: the self-replication case Physica D: Nonlinear Phenomena. ,vol. 116, pp. 71- 80 ,(1998) , 10.1016/S0167-2789(97)00255-8
Benoit B. Mandelbrot, The Fractal Geometry of Nature ,(1982)
Arthur W. Burks, John Von Neumann, Theory Of Self Reproducing Automata ,(1966)