Question: Some help with this question would be greatly appreciated! 1. [21 Points] Construct context-free grammars that generate each of the languages below. For each grammar

Some help with this question would be greatly appreciated!

Some help with this question would be greatly appreciated! 1. [21 Points]

1. [21 Points] Construct context-free grammars that generate each of the languages below. For each grammar specify all components of the quadruple (V,2, R, S) (a) {a-r i m Sn} (Optimal solution has only one variable). (b) {w {a,b)' I w has odd length) (Optimal solution has only one variable). (c) {a"bndd' I m + n p + q} (Optimal solutions have at most five variables. Explain why your grammar works). 2. [15 Points) Construct a right-regular grammar for the language (w {0, i)' I w has neither 00 nor ll as substring } Specify all components of the quadruple (V,, R, S 1. [21 Points] Construct context-free grammars that generate each of the languages below. For each grammar specify all components of the quadruple (V,2, R, S) (a) {a-r i m Sn} (Optimal solution has only one variable). (b) {w {a,b)' I w has odd length) (Optimal solution has only one variable). (c) {a"bndd' I m + n p + q} (Optimal solutions have at most five variables. Explain why your grammar works). 2. [15 Points) Construct a right-regular grammar for the language (w {0, i)' I w has neither 00 nor ll as substring } Specify all components of the quadruple (V,, R, S

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