“If X then Y unless Z” is represented by which of the following formulas in…

GATE · 2002 · CS · Question 1 subparts

“If X then Y unless Z” is represented by which of the following formulas in prepositional logic? (“¬” is negation, “∧” is conjunction, and “→” is implication)

  1. A.

    (X ∧ ¬Z) → Y

  2. B.

    (X ∧ Y) → ¬Z

  3. C.

    X → (Y ∧ ¬Z)

  4. D.

    (X → Y) ∧ ¬Z

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