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Equal zeros then ones

Is L = { 0ⁿ1ⁿ : n ≥ 0 } regular?

you attack · engine defends

Engine · move 1

The engine claims L = { 0ⁿ1ⁿ : n ≥ 0 } is regular and announces a pumping length of n = 4. Choose a string in the language with at least 4 symbols.

You · move 2

w ∈ L, |w| ≥ 4