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Two tapes versus one for off-line Turing machines

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Abstract

We prove the first superlinear lower bound for a concrete, polynomial time recognizable decision problem on a Turing machine with one work tape and a two-way input tape (also called off-line 1-tape Turing machine).

In particular, for off-line Turing machines we show that two tapes are better than one and that three pushdown stores are better than two (both in the deterministic and in the nondeterministic case).

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Maass, W., Schnitger, G., Szemerédi, E. et al. Two tapes versus one for off-line Turing machines. Comput Complexity 3, 392–401 (1993). https://doi.org/10.1007/BF01275490

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