Abstract
In this paper we give a direct proof of the fact that the computational power of networks of evolutionary processors and that of networks of evolutionary processors with filtered connections is the same. It is known that both are equivalent to Turing machines. We propose here a direct simulation of one device by the other. Each computational step in one model is simulated in a constant number of computational steps in the other one while a translation via Turing machines squares the time complexity.
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Bottoni, P., Labella, A., Manea, F., Mitrana, V., Sempere, J.M. (2009). Filter Position in Networks of Evolutionary Processors Does Not Matter: A Direct Proof. In: Deaton, R., Suyama, A. (eds) DNA Computing and Molecular Programming. DNA 2009. Lecture Notes in Computer Science, vol 5877. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-10604-0_1
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DOI: https://doi.org/10.1007/978-3-642-10604-0_1
Publisher Name: Springer, Berlin, Heidelberg
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