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Is it correct to say that there are languages that a NFA with epsilon recognizes but a PDA is not? I think that it is wrong but I cannot find a suitable explanation.

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This follows immediately from the definitions and the basic characterizations of the different kinds of automata. Every NFA, with or without $\epsilon$-transitions, recognizes a regular language. Every regular language is context-free. Every context-free language is recognized by a PDA.

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  • $\begingroup$ Thank you did not expect something that simple. $\endgroup$
    – Saraki
    Aug 25, 2014 at 18:01

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