[superturing]

From an earlier paper:

> such super-Turing capabilities can only be achieved in cases where the evolving synaptic patters [sic] are themselves non-recursive (i.e., non Turing-computable)

"Interactive Evolving Recurrent Neural Networks are Super-Turing", 2012, Jérémie Cabessa http://jcabessa.byethost32.com/papers/CabessaICAART12.pdf

So, create a neural network that changes after a non-Turing-computable pattern and its output might not be Turing-computable.