Question

The following CFG generates strings of terminals that have

• A. Equal number of \(a\)'s and \(b\)'s
• B. Odd number of \(a\)'s and \(b\)'s
• C. Even number of \(a\)'s and \(b\)'s
• D. Odd number of \(a\)'s and even number of \(b\)'s

Hint:

For CFG questions, generate a few sample strings and look for a pattern. If every recursive step preserves a relationship such as \[ n_a=n_b, \] then the language generated by the grammar consists of strings having equal numbers of \(a\)'s and \(b\)'s.

Answer 1

The Correct Option is A