Question: Suppose that a language L {a, b} is defined as follows: (1) L, (2) If x, y L, then so are xayb and xbya, (3)

Suppose that a language L {a, b} is defined as follows: (1) L, (2) If x, y L, then so are xayb and xbya, (3) Nothing else is in L. Prove by induction that strings in L have the same number of as and bs.

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