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Prove that the following two languages are undecidable.

  1. $OVERLAP_{CFG} = \{\langle G, H\rangle \mid \text{G and H are CFGs where}\: L(G) \cap L(H) \neq  \emptyset\}$.
  2. $PREFIX-FREE_{CFG} = \{\langle G \rangle \mid \text{G is a CFG where L(G) is prefix-free}\}$.
in Theory of Computation by Veteran (54.9k points) | 12 views

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