Question: If a DPDA has the transition delta(q, a, x) = (q', y) with a elementof sigma, x elementof, then it can also have the transition:

If a DPDA has the transition delta(q, a, x) = (q', y) with a elementof sigma, x elementof, then it can also have the transition: delta(q, elementof, elementof) = (q', y) delta(q, elementof, x) = (q', y) provided x notequalto y, y elementof delta(q, elementof, y) = (q', x) provided x notequalto y, y elementof delta(q, a, elementof) = (q', x) delta(elementof, b, x) = (q', x) provided x notequalto y, y elementof and a notequalto b, b elementof sigma
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