Mathematics, 12.12.2019 19:31 sandram74691
Let s be the subset of the set of ordered pairs of integers defined recursively by: basis step: (0, 0) β s. recursive step: if (a, b) β s, then (a, b + 1) β s, (a + 1, b + 1) β s, and (a + 2, b + 1) β s. a) list the elements of s produced by the first four applications of the recursive definition. b) use strong induction on the number of applications of the recursive step of the definition to show that a β€ 2b whenever (a, b) β s. c) use structural induction to show that a β€ 2b whenever (a, b) β s.
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Let s be the subset of the set of ordered pairs of integers defined recursively by: basis step: (0...
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