Translate the following sentences above into propositional logic, using the scheme below.
B = Bones is a hothead
K = Kirk is a hothead
S = Spock is a hothead
U = Uhuru is a hothead
Neither Uhuru nor Spock is a hothead.
Both Kirk and Bones are hotheads, but Spock isn’t, and neither is Uhuru.
Either Kirk or Bones is a hothead, but not both.
1.$$\overline U \wedge \overline S.$$ 2. $$K\wedge B \wedge \overline S \wedge \overline U.$$ 3. $$K \lor B \land \overline {K\land B}.$$