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On the relationship between propagating context-dependent lindenmayer systems and cellular automata systems
Authors:Jon T. Butler
Affiliation:Department of Electrical Engineering and Computer Science, Northwestern University, Evanston, Illinois 60201 U.S.A.
Abstract:It is shown that any one-dimensional cellular automata system can be simulated in real time by a propagating context-dependent Lindenmayer system, PD(m, n)L. Further, any PD(m, n)L system can be simulated by a one-dimensional cellular system. Although real-time simulations exist, there are PD(m, n)L systems for which a linear-time simulation is impossible.
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