A single, simple search algorithm decides the escape problem for all robust instances, and is provably complete for the weakest representation of continuous functions.
It follows that d(y, x) < δ, contradicting the assumption that Ei is disjoint from B(Ek, δ)
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Deciding Robust Instances of an Escape Problem for Dynamical Systems in Euclidean Space
A single, simple search algorithm decides the escape problem for all robust instances, and is provably complete for the weakest representation of continuous functions.