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It is decidable

Géraud Sénizergues (1997) proved that the equivalence problem for deterministic PDA (i.e. given two deterministic PDA A and B, is L(A)=L(B)?) is decidable,a proof that earned him the 2002 Gödel Prize. For nondeterministic PDA, equivalence is undecidable.

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always UNDECIDABLE
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