Computer Science · Artificial Intelligence
Which of the following is the correct representation in predicate logic for the sentence 'All students who are doing sports are smart'?
- 1∀x (student(x) ∧ ∃x doing_sports(x)) → smart(x)
- 2(∃x) (student(x) ∧ (∀x) doing_sports(x)) → smart(x)
- 3(∀x) ((student(x) ∧ doing_sports(x)) → smart(x))✓
- 4(∃x) (student(x) ∧ doing_sports(x)) → smart(x)
Correct answer
(∀x) ((student(x) ∧ doing_sports(x)) → smart(x))
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