10 Is A-(BU C) = (A-B) (A-C)? Prove it or disprove it.
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- Solve this and show how you solved it Construct a truth table for the following, remembering to observe the order of operations discussed in class: q Λ ~p → rLet Σ = {a, b}. Indicate whether or not L is regular and prove your answer. (i) L={w ∈ {a, b}* : w contains at least two a’s and at most three b’s}. (ii) L={a^ib^j : i, j ≥ 0 and i < j.}.If n is an integer, what are the common divisors of n and 1? What are thecommon divisors of n and 0?
- Given R=b*(ba+∪a+)+b*and S=(a*ba+b)∗ draw the automaton R and S5. Let R = {1, 3, π, 4, 1, 9, 10}, S = {{1}, 3, 9, 10}, T = {1, 3, π}, and U = {{1, 3, π}, 1}. Which of thefollowing are true? For those that are not, why not? (d) 1 ⊆ U(e) {1} ⊆ T(f) {1} ⊆ S(g) {1} ∈ SRun the code to determine experimentally the distribution of the number of components in random graphs of various types by building a large number of graphs and producing a histogram.