Let L = {b2k aab2k | k ≥ 0}. Use Myhill-Nerode to prove that L is...

Let L = {b^2k aab^2k | k ≥ 0}. Use Myhill-Nerode to prove that L is not regular

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venereology answered 10 months ago

1) a) Let k ≥ 2 and let G be a k-regular bipartite graph. Prove that G...

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Let a, b, c ∈ Q, (a, b) /= (0, 0), and consider the line L...

Let a, b, c ∈ Q, (a, b) /= (0, 0), and consider the line L = {(x, y) ∈ R2 ; ax + by = c}. State and prove a criterion in terms of the data a, b, c ∈ Q to check whether L∩Z2 = ∅, i.e., the line passes through no point with integer coordinates in the plane. Give an explicit example of such a line that is neither parallel to the x-axis nor to the y-axis!

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