QUESTION 6 Translate the English sentence "All web pages owned by Ernest have a link to a page that is about chess." into predicate logic. Assume that the universe of discourse of all variables is all Web pages. For the predicates let Loxy) be "x links to y". Oxy) be "x owns y," and A(x,y) be "x is about y." VxVy(O(Ernest, x)+(L(x,y) A A(y, chess))) O Vx3y(O(Ernest, x)→ (L(x,y) A A(y, chess))) Vx3y(0(Ernest, x)A (L(x.v) ^ A(y, chess))) 3x3y(0(Ernest, x) ^ (L(x,y) ^ A(y. chess))) O

Database System Concepts
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Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
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QUESTION 6
Translate the English sentence "All web pages owned by Ernest have a link to a page that is about chess." into predicate logic.
Assume that the universe of discourse of all variables is all Web pages. For the predicates let Loxy) be "x links to y". Oxy) be "x owns
y," and A(x,y) be "x is about y."
VxVy(O(Ernest, x)+(L(x,y) A A(y, chess)))
O
Vx3y(O(Ernest, x)→ (L(x,y) A A(y, chess)))
Vx3y(0(Ernest, x)A (L(x.v) ^ A(y, chess)))
3x3y(0(Ernest, x) ^ (L(x,y) ^ A(y. chess)))
O
Transcribed Image Text:QUESTION 6 Translate the English sentence "All web pages owned by Ernest have a link to a page that is about chess." into predicate logic. Assume that the universe of discourse of all variables is all Web pages. For the predicates let Loxy) be "x links to y". Oxy) be "x owns y," and A(x,y) be "x is about y." VxVy(O(Ernest, x)+(L(x,y) A A(y, chess))) O Vx3y(O(Ernest, x)→ (L(x,y) A A(y, chess))) Vx3y(0(Ernest, x)A (L(x.v) ^ A(y, chess))) 3x3y(0(Ernest, x) ^ (L(x,y) ^ A(y. chess))) O
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