 non-deterministically either (0) guess $n<\bound{0}$, and check that $n\notin \Lang{\initialstate,c_0}$, or (0) guess $\bound{0}^{|\states|}\le n\le 0\bound{0}^{|\states|}$ and check that $n\notin \LangVia{\initialstate,c_0}{r}$ for all $r\in \Pump$