Is the following a CFL? If yes then provide a pushdown automaton for it (no need to prove the equivalence); if not then prove your answer (e.g., using pumping lemma for CFLs). (a) {a, b, c}∗ − {anbncn | n ≥ 0} (b) {ambncp | m, n, p ≥ 0, mn = p}

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Q: Use algorithm TautologyTest to prove that the following expressions are tautologies. [ВЛ(4— B)] — b.…

A: Tautology means the expression which always true for all possible set of values.

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Q: Problem 5 Simplify the following CFG using the three simplification techniques introduced in our…

A: Simplify the CFG using three simplification technique

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Q: - universal generalization (twice-applied) that (((C − A) n B) u (D n B)) = (B n ((C − A) U D)).

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Q: Problem 8 (#2.2.8).Prove the idempotent laws by showing a) A∪A=A. b) A∩A=A.

A:

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A: 18. Yes, they are logically equivalent as shown below.