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The space complexity of a turing machine is undefined if:

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The space complexity of a turing machine is undefined if:

(a) It is a multitape turing machine

(b) If no string of length n causes T to use infinite number of tape squares

(c) If some input of length n causes T to loop forever

(d) None of the mentioned

I got this question during 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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Best answer
Right choice is (c) If some input of length n causes T to loop forever

The best explanation: If there exists an input string of length n that causes T to use an infinite number of tape squares, the space complexity of the turing machine is undefined.

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