Computers and Technology, 28.11.2019 06:31 heatherballiet866
The tables below show the values of predicates p(x, y), q(x, y), and s(x, y) for every possible combination of values of the variables x and y. the row number indicates the value for x and the column number indicates the value for y. the domain for x and y is {1, 2, 3}.
p 1 2 3
1 t f t
2 t f t
3 t t f
q 1 2 3
1 f f f
2 t t t
3 t f f
s 1 2 3
1 f f f
2 f f f
3 f f f
indicate whether each of the quantified statements is true or false.
(a)
∃x ∀y p(x, y)
(b)
∃x ∀y q(x, y)
(c)
∃x ∀y p(y, x)
(d)
∃x ∃y s(x, y)
(e)
∀x ∃y q(x, y)
(f)
∀x ∃y p(x, y)
(g)
∀x ∀y p(x, y)
(h)
∃x ∃y q(x, y)
(i)
∀x ∀y ¬s(x, y)
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