Mathematics, 21.02.2020 22:53 parminder44
Let F(x, y) be the predicate that indicates if x and y are friends, with the domain of people. Which of the following statements in predicate logic expresses the statement that
"Every pair of friends has a friend in common"?
(only one correct answer)
a.βx βy [ F(x, y) β βz ( (y β z) β§(x β z) β§ (F(x, z) β F(y, z)) ) ]
b.βx βy [ F(x, y) β βz ( (y β z) β§ (x β z) β§ F(x, z) β§ F(y, z) ) ]
c.βx βy [ F(x, y) β βz ( (y β z) β§(x β z) β§ (F(x, z) β F(y, z)) ) ]
Answers: 2
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