Abstract

We shall show that, for each nondeterministic single-tape Turing machine M of time complexity T( n)⩾ n 2 and each K⩾1, there exists and equivalent K times faster nondeterministic Turing machine M′ writing only zeroes and ones on its tape. In other words, we can obtain the linear speed-up while preserving the binary worktape alphabet. Therefore, nondeterministic single-tape Turing machines do not require tape compression for speeding up.

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