Mathematics  >  QUESTIONS & ANSWERS  >  MAT 42763 1. Suppose B is the set of bit strings recursively defined by:... (All)

MAT 42763 1. Suppose B is the set of bit strings recursively defined by:...

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Question 1.  Suppose B is the set of bit strings recursively defined by:... 1.  Suppose B is the set of bit strings recursively defined by:               001 ∈ S ... b ∈ S → 11b ∈ S  b ∈ S → 10b ∈ S  b ∈ S → 0b ∈ S. Let an the number of bit strings in B of length n, for n ≥ 2. Determine a recursive definition for an, i.e. determine a2, a3 and a recurrence relation. Make sure to justify your recurrence relation carefully. In particular, you must make it clear that you are not double-counting bit strings. [Show More]

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