Use algorithm TautologyTest to prove that the following expressions are tautologies. a. ((A wedge B) wedge B^{prime}

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Use algorithm TautologyTest to prove that the following expressions are tautologies.

a. \((A \wedge B) \wedge B^{\prime} \rightarrow A\)

b. \(\left(A \wedge B^{\prime}\right) \rightarrow(A \rightarrow B)^{\prime}\)

c. \((A \wedge B)^{\prime} \vee B^{\prime} \rightarrow A^{\prime} \vee B^{\prime}\)

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