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Question

Which of the following is a correct predicate logic statement for “Every Natural number has one successor” ?

a.

∀x∃y (succ(x, y) ∧ (∃z succ(x, z) ⇒ equal (y, z)))

b.

∀x∃y (succ(x, y) ∨ (∃z succ(x, z) ⇒ equal (y, z)))

c.

∃y∀x (succ(x, y) ∧ (∃z succ(x, z) ⇒ equal (y, z)))

d.

∀x∃y succ (x, y)

Answer: (a).∀x∃y (succ(x, y) ∧ (∃z succ(x, z) ⇒ equal (y, z)))

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Q. Which of the following is a correct predicate logic statement for “Every Natural number has one successor” ?

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