Grammar generates numbers in binary notation

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The following grammar generates numbers in binary notation. C is the start symbol.

(1) C → C 0 | A 1 | 0

(2) A → B 0 | C 1 | 1

(3) B → A 0 | B 1

(c) Prove that all such numbers are generated by the grammar.

 

Reference no: EM133234677

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