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Let L(a) be the language generated by G(a) - (N, 2, S, P) where 2 - [a, b), N= {S,X) and S->aXb X->aX|bX|epsilon (i) (3
Let L(a) be the language generated by G(a) - (N, 2, S, P) where 2 - [a, b), N= {S,X) and S->aXb X->aX|bX|epsilon (i) (3 marks) Describe the language L(a). (First generate a few strings using G(a)) i (1 mark) Determine whether G(a) is a type 0 grammar but not a type 1 grammar, a type 1 grammar but not a type 2 grammar, a type 2 grammar but not a type 3 grammar, or a type 3 grammar ii) (3 marks) Write a higher level (type 0 is the lowest level) grammar Ga) that also generates L a) (iv) (1 ark) Is L(a) a regular language? Justify your answer
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