Question: Computer Theory 5.Design a one-tape (standard) Turing machine that accepts the language L = {a^k b^k | k > 0}. 6. Design a two-tape Turing

Computer Theory

5.Design a one-tape (standard) Turing machine that accepts the language L = {a^k b^k | k > 0}.

6. Design a two-tape Turing machine that accepts the language L of the previous question. Also, discuss the relative time complexity (number of Turing machine transitions) between your answer to this question and the previous one.

7. Design a two-tape Turing machine that computes the function even(n), where n is stored in unary notation (meaning an odd number of 1s indicates an even number). The output should go on tape 2: if n is even, write 1 (i.e. 11 in unary in unary notation), and if n is odd, write 0 (i.e. 1 in unary notation)

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