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McCulloch-Pitts Brains and Pseudorandom Functions
Vašek Chvátal1, Mark Goldsmith2, Nan Yang3
1Department of Computer Science and Software Engineering, Concordia University, Montreal, QC H3G 1M8, Canada chvatal@cse.concordia.ca.
Abstract:
In a pioneering classic, Warren McCulloch and Walter Pitts proposed a model of the central nervous system. Motivated by EEG recordings of normal brain activity, Chvátal and Goldsmith asked whether these dynamical systems can be engineered to produce trajectories that are irregular, disorderly, and apparently unpredictable. We show that they cannot build weak pseudorandom functions.
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