Hello,

I need help in solving this question for my "Theory of Computation" course.

it's from a book named " Introduction to formal languages and automata - 6th edition by Peter Linz"

**Please show the steps of the solution, solve it briefly if possible, and provide a clear picture of the solution.

1. Use the CYK algorithm to determine whether the strings abb, bbb, aabba, and abbbb are in the language generated by the grammar in Example 6.11. EXAMPLE 6.11 Determine whether the string w aabbb is in the language generated by the grammar S AB A B.Bla. B ABIb First note that w11 a, so Vi1 is the set of all variables that immediately derive a, that is, Vi {A). Since wa2 a, we also have {A) and, similarly, Now we use (6.8) to get BC, BE V11, C e 2) Since V (A) and V {A), the set consists of all variables that occur on the left side of a production whose right side is AA. Since there are none, Vi2 is empty. Next, A BC, B E V2, CE V33), so the required right side is AB, and we have V23 {S, B). A straight forward argument along these lines then gives 12 {S, B), V24 13 {S, B), V25 15 so that w E L (G)