For the given language L = 0 x 1 y | x>=0 , y>=1 , choose the grammar for the language. Options :S-> XY | Ꜫ , X->0X | Ꜫ , Y->1 Y | 1S-> XY , X->0X | 0 , Y->1 Y | ꜪS-> XY , X->0X | Ꜫ , Y->1 Y | 1None of above mentioned
Question
For the given language L = 0 x 1 y | x>=0 , y>=1 , choose the grammar for the language. Options :S-> XY | Ꜫ , X->0X | Ꜫ , Y->1 Y | 1S-> XY , X->0X | 0 , Y->1 Y | ꜪS-> XY , X->0X | Ꜫ , Y->1 Y | 1None of above mentioned
Solution
The correct grammar for the language L = 0^x 1^y where x>=0, y>=1 is:
S-> XY | Ꜫ , X->0X | Ꜫ , Y->1 Y | 1
This is because the language consists of a string of zero or more 0's followed by one or more 1's. The grammar S-> XY | Ꜫ , X->0X | Ꜫ , Y->1 Y | 1 correctly generates this language. Here, S is the start symbol, X generates the string of 0's, and Y generates the string of 1's. The Ꜫ symbol represents the empty string.
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