Let S be the set of all strings in a’s and b’s, and define

Chapter 7, Problem 25E

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Problem 25E

Let S be the set of all strings in a’s and b’s, and define C: S S by C(s) = as, for all s S.

(C is called concatenation by a on the left.)

a. Is C one-to-one? Prove or give a counterexample.

b. Is C onto? Prove or give a counterexample.

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