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Suppose that: variables  X  and  Y  can each represent any Nondeterministic ...

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Suppose that:

  • variables  X  and  Y  can each represent any Nondeterministic Finite Automaton (NFA);

  • the function  L(...)  returns the language recognised by the NFA given to it;

  • the predicate   Deterministic(X)   is True if and only if  X  is actually also a Deterministic Finite Automaton (FA).

Using these, write a logical statement using quantifiers to express the fact that every NFA has an equivalent FA.

The following symbols are provided for you to copy if you wish (though not many of them are needed in this question, and you are not limited to using the symbols that are listed here):     ∃  ∀  ∧  ∨  ¬  ⇔  ⇒  ⇐  ∈  ≤  ≥  ≠
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