Q1 (2 pts) Let X={True, False} and n E N. A (multivariate) Boolean function F: Xn...
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Q1 (2 pts) Let X={True, False} and n E N. A (multivariate) Boolean function F: Xn → X is a rule that for each argument PE X produces a unique value F(P) € X. Show that every Boolean function can be expressed in terms of components of P using (a) conjunctions, disjunctions and negations; (b) conjunctions and negations only. Hint: It might help to start with an arbitrary Boolean function F: X² → X. Q1 (2 pts) Let X={True, False} and n E N. A (multivariate) Boolean function F: Xn → X is a rule that for each argument PE X produces a unique value F(P) € X. Show that every Boolean function can be expressed in terms of components of P using (a) conjunctions, disjunctions and negations; (b) conjunctions and negations only. Hint: It might help to start with an arbitrary Boolean function F: X² → X.
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