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15. Define a set S recursively as follows: I. BASIS: ? E S II. RECURSION: If s and t are in S, then a. 0s

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15. Define a set S recursively as follows: I. BASIS: ? E S II. RECURSION: If s and t are in S, then a. 0s ES 111, RESTRICTION: ?o strings other than those derived from 1 and 11 ?re in S. Use structural induction to prove that every string contains an even number of 1's

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