Question a) Prove that the language L is decidable where L G G is a CFG which generates a string with length greater than 5 b) What is wrong with the following proof Why T On input string G 1 Check whether G represents a valid CFG 2 Generate all strings of length greater than 5 in lexicographic order If a string of length greater than 5 is generated, accept Reject otherwise T is a decider, therefore, L is decidable 3 (20 points) a) Prove that the language L is decidable where L (G) G is a CFG which generates a string with length greater than 5 b) What is wrong with the following proof Why T On input string (G) 1 Check whether G represents a valid CFG 2 Generate all strings of length greater than 5 in lexicographic order If a string of length greater than 5 is generated, accept Reject otherwise T is a decider, therefore, L is decidable

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Question: Question: a) Prove that the language L is decidable where L = {G|G is a CFG which generates a string with length greater than 5}.

Question: a) Prove that the language L is decidable where L = {G|G is a CFG which generates a string with length greater than 5}.

b) What is wrong with the following proof? Why?

T=On input string G: 1. Check whether G represents a valid CFG. 2. Generate all strings of length greater than 5 in lexicographic order. If a string of length greater than 5 is generated, accept. Reject otherwise.

T is a decider, therefore, L is decidable.

Question: a) Prove that the language L is decidable where L =

3. (20 points) a) Prove that the language L is decidable where L = {(G)\G is a CFG which generates a string with length greater than 5}. b) What is wrong with the following proof? Why? T="On input string (G): 1. Check whether G represents a valid CFG. 2. Generate all strings of length greater than 5 in lexicographic order. If a string of length greater than 5 is generated, accept. Reject otherwise. T is a decider, therefore, L is decidable

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5. Arranging for the training facility and room.