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UGC NET CSE | November 2017 | Part 3 | Question: 58

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“If $X$, then $Y$ unless $Z$” is represented by which of the following formulae in propositional logic?

  1. $(X \wedge Y) \rightarrow \neg Z$
  2. $(X \wedge \neg Z) \rightarrow Y$
  3. $X \rightarrow (Y \wedge \neg Z)$
  4. $Y \rightarrow (X \wedge \neg Z)$
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Answer (2)

If X, then Y unless Z ie equivalent to : X -> (Z' -> Y).

Now, X -> (Z' -> Y)

= X -> (Z + Y)

= X' + Z + Y

This matches with option (2)
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