Theory of One Tape Linear Time Turing Machines

Kohtaro Tadaki; Tomoyuki Yamakami; Jack C. H. Lin

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Theory of One Tape Linear Time Turing Machines

Kohtaro Tadaki·Tomoyuki Yamakami·Jack C. H. Lin

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Abstract

A theory of one-tape (one-head) linear-time Turing machines is essentially different from its polynomial-time counterpart since these machines are closely related to finite state automata. This paper discusses structural-complexity issues of one-tape Turing machines of various types (deterministic, nondeterministic, reversible, alternating, probabilistic, counting, and quantum Turing machines) that halt in linear time, where the running time of a machine is defined as the length of any longest computation path. We explore structural properties of one-tape linear-time Turing machines and clarify how the machines' resources affect their computational patterns and power.

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BibTeX RIS

Kohtaro Tadaki, Tomoyuki Yamakami, Jack C. H. Lin. 2003-10-23. Theory of One Tape Linear Time Turing Machines. https://arxiv.org/abs/cs/0310046

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