Solved: Use induction to show that if x is a balanced
Chapter 4, Problem 4.58(choose chapter or problem)
Use induction to show that if x is a balanced string of parentheses, then the number of left parentheses equals the number of right parentheses in x. Define the function N on the set of strings of parentheses by N(A) = 0, N (O = 1, N O) = -I, N(uv) = N(u) + N(v), where A is the empty string, and u and v are strings. It can be shown that N is well defined.
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