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A function f is called __________ if there exists a TM T so that for any n and any input string of length n, T halts in exactly f(n) moves.

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A function f is called __________ if there exists a TM T so that for any n and any input string of length n, T halts in exactly f(n) moves.

(a) Step function

(b) Step counting function

(c) Inplace functions

(d) None of the mentioned

I had been asked this question in an online interview.

Question is taken from Class RP and ZPP,Complexity in division Other Classes Of Problems of Automata Theory

1 Answer

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Correct answer is (b) Step counting function

Easiest explanation: If f is a step counting function, T is a TM halting in f(n) moves where n is the length of input string.

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