Consider the language L = AEqB = {x ∈ {a, b}∗ | na(x) = nb(x)}. a. Show that if na(x) − nb(x) = na(y) − nb(y), then x IL y. b. Show that if na(x) − nb(x) = na(y) − nb(y), then x and y are L-distinguishable. c. Describe all the equivalence classes of IL.

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