Donnelly Lynch
04/08/2023 · High School
S is a set of strings over the alphabet \( \{a, b\}^{*} \) recursively defined as: Base case: \( a \in S, b \in S \) Recursive rules: If \( x \in S \), then Rule \( 1: x a a \in S \) Rule \( 2: b b x \in S \) List all the strings in \( S \) of length 3. Ex: aaa, bbb
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The strings in \( S \) of length 3 are: aaa, bba, baa, bbb.
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