Problem 32. Let Z = {., 0, 1, ., 9} be the alphabet consisting of a. decimal point and the base-ten digits. Call a string : E 2* left-valid if it has…
Problem 32. Let Σ = {., 0, 1, …, 9} be the alphabet consisting of a decimal point and the base-ten digits. Call a string x ∈ Σ∗ left-valid if it has the following properties. • (i)x!=λ • (ii) x does not contain a decimal point • (iii) If x != 0, then x does not start with 0. Call a string z ∈ Σ∗ valid if it is either left-valid or of the form z = x.y where x is left-valid and y ∈ Σ+ does not contain a decimal point. Let V = {z ∈ Σ*| z is valid} Design an NFA N such that L(N ) = V . Explain clearly why your design works.
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