Let S be the set of bit strings defined recursively by λ ∈ S and 0x ∈ S, x1 ∈ S if x ∈ S, where λ is the empty string. Find all bit strings of length three in S

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Let S be the set of bit strings defined recursively by
λ ∈ S and
0x ∈ S, x1 ∈ S if x ∈ S,
where λ is the empty string.
Find all bit strings of length three in S.

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