Not to argue with Matt's well-founded main point with this pedantic nit:

Any deterministic dynamical system can be simulated to an arbitrary degree of 
precision with a finite directed *cyclic* NOR (or NAND) graph.  There was even 
some guy at the second IJCNN in San Diego (1990) with a "trainable" *acyclic* 
graph generator that was attempting to grow combinatorial logic.  IIRC he even 
had some "pruning" capability.  (Probably a lot of people have barked up that 
tree over the decades -- I haven't been keeping track since then.)  
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Artificial General Intelligence List: AGI
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