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Is there a universal pushdown automaton? That is , is there a single pushdown automaton, say M , such that given a string sGw ,

Is there a universal pushdown automaton? That is, is there a single pushdown automaton, say M, such that given a string sGw, where sG is a string that describes a context
free grammar and w is an input string, M accepts sGw if and only if G generates w?
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