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!
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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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