Let S be the set of bit strings defined recursively by S and 0x S, x1 S if x S, where is the empty string a) Find all strings in S of length not exceeding five b) Give an explicit description of the elements of S

Question: Let S be the set of bit strings defined recursively by S and 0x S, x1 S if x S,

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.
a) Find all strings in S of length not exceeding five.
b) Give an explicit description of the elements of S.

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