Discrete Mathematics
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How many free and bounded variable(s) the following expression has? (∀x:P(x)∧ Q(x))∨(∀y:[R(y)∨S(y)]∨B(w))∧A(z)
Choose CNF (Conjunctive Normal Formula) equivalent of the following compound statement: (¬p ∨ ¬q ) → ¬((a → ¬b) ∨ q)
Which of the following statements is logically equivalent to ∀x:[(P(x)∧Q(x))→R(x)]∧∀x:[(P(x)∧R(x))→Q(x)].
Choose the valid conclusions given the following premises:
∃x: [P(x)∧¬Q(x)] ∀x: [¬R(x)→¬P(x)]∀x: [R(x)→S(x)].
Choose the valid conclusions given the premises.
¬(p ∧ ¬q),
¬(¬s ∧¬t),
¬t→(¬s ∧p)),
(¬t ∨¬q)
Which of the following statements is/are satisfiable?
Which of the following represents the statement “All real numbers are complex numbers”?
How many satisfiable assignments the following compound statement has? ( (p→q)∧(¬ q ∨r)∧(¬s→¬r) )→(¬p∨s)
Set A has 3 elements & set B has 4 elements . The number of injections that can be defined from A into B
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