Mathematics, 19.02.2020 01:44 lolo8787
Define a set S recursively as follows: I. BASE: (the empty word), a, and b are in S. II. RECURSION: If s ∈ S, then a. asa ∈ S b. bsb ∈ S III. RESTRICTION: No words are in S other than those derived from I and II above.(a) Give a derivation showing that bab is in S.(b) Give a derivation showing that baab is in S.(c) Use structural induction to prove that every string in S is a palindrome. If it makes things easier, you can use the notation s to denote reversing a word (e. g., abb = bba).(d) Argue that abb is not in S
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Define a set S recursively as follows: I. BASE: (the empty word), a, and b are in S. II. RECURSION:...
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