Verifying whether one-tape Turing machines run in linear time

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Verifying whether One-Tape Turing Machines Run in Linear Time

We discuss the following family of problems, parameterized by integersC ≥ 2 andD ≥ 1: Does a given one-tape q-state Turing machine make at mostCn+D steps on all computations on all inputs of length n, for all n? Assuming a fixed tape and input alphabet, we show that these problems are co-NP-complete and we provide good lower bounds. Specifically, these problems can not be solved in o(q(C−1)/4) ...

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ژورنال

عنوان ژورنال: Journal of Computer and System Sciences

سال: 2020

ISSN: 0022-0000

DOI: 10.1016/j.jcss.2019.08.004