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Mathematics
Problem
Let
S
=
¬
(
p
∧
(
q
∨
r
)
)
S = \lnot\bigl(p \land (q \lor r)\bigr)
S
=
¬
(
p
∧
(
q
∨
r
)
)
. Which one of the following statements is logically equivalent to
S
S
S
? a)
¬
p
∧
¬
q
∧
¬
r
\lnot p \land \lnot q \land \lnot r
¬
p
∧
¬
q
∧
¬
r
b)
(
¬
p
∧
¬
q
)
∨
r
(\lnot p \land \lnot q) \lor r
(
¬
p
∧
¬
q
)
∨
r
c)
¬
p
∨
(
¬
q
∧
¬
r
)
\lnot p \lor (\lnot q \land \lnot r)
¬
p
∨
(
¬
q
∧
¬
r
)
d)
¬
p
∨
¬
q
∨
¬
r
\lnot p \lor \lnot q \lor \lnot r
¬
p
∨
¬
q
∨
¬
r
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