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Questions about the set of languages (equivalently) described by context-free grammars or accepted by (non-deterministic) pushdown automata.

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Variable derives itself

In Sipser's Introduction to the theory of computation (3rd edition), I found the following claim. Consider the grammar: $$ \begin{align*} &R \to XRX \mid S \\ &S \to aTb \mid bTa \\ &T \to XTX \mid …
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