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There are non-context-free languages which are recognizable by randomized pushdown automata even with arbitrarily small error probability. We give an example of a context-free language which cannot be recognized by a randomized pda with error probability smaller than $$ \frac{1} {2} - O\left( {\frac{{\log _2 n}} {n}} \right) $$ for input size n. Hence nondeterminism can be stronger than probabilism...
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