Suppose P(x, y) is some binary predicate defined on a very small domain of discourse: just the integers 1, 2, 3, and 4. For each of the 16 pairs of these numbers, P(x, y) is either true or false, according to the following table (x values are rows, y values are columns). 1 2 3 4 1 T F F F T F 2 F T 3 тт тт 4 F F F F For example, P(1,3) is false, as indicated by the F in the first row, third column. Use the table to decide whether the following statements are true or false. (a) Vx3yP(x, y).

Database System Concepts
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ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
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Suppose P(x, y) is some binary predicate defined on a very small
domain of discourse: just the integers 1, 2, 3, and 4. For each of the 16
pairs of these numbers, P(x, y) is either true or false, according to the
following table (x values are rows, y values are columns).
1
2
3
4
1
T
F
F
F
2
F
тт
F
3
T
T
T
4
F F F F
For example, P(1,3) is false, as indicated by the F in the first row,
third column.
Use the table to decide whether the following statements are true
or false.
(a) Vx3yP(x, y).
(b) Wy3xP(х, у).
(c) 3xVyP(x, y).
(d) 3yVxP(x, y).
Transcribed Image Text:Suppose P(x, y) is some binary predicate defined on a very small domain of discourse: just the integers 1, 2, 3, and 4. For each of the 16 pairs of these numbers, P(x, y) is either true or false, according to the following table (x values are rows, y values are columns). 1 2 3 4 1 T F F F 2 F тт F 3 T T T 4 F F F F For example, P(1,3) is false, as indicated by the F in the first row, third column. Use the table to decide whether the following statements are true or false. (a) Vx3yP(x, y). (b) Wy3xP(х, у). (c) 3xVyP(x, y). (d) 3yVxP(x, y).
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