Let S be the set of all strings of a’s and b’s. Define a

Chapter 8, Problem 3E

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Problem 3E

Let S be the set of all strings of a’s and b’s. Define a relation R on S as follows: For all t S,

s R t l(s) l(t),

where l(x) denotes the length of a string x. Is R antisymmetric? Prove or give a counterexample.

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