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21 January 2021
 
  » arxiv » cs.CC/0310046

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Theory of One Tape Linear Time Turing Machines
Kohtaro Tadaki ; Tomoyuki Yamakami ; Jack C.H. Lin ;
Date 23 Oct 2003
Subject Computational Complexity ACM-class: F.1.1; F.1.2; F.4.3 | cs.CC
AbstractA theory of one-tape linear-time Turing machines is quite different from its polynomial-time counterpart since one-tape linear-time Turing 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 height of its computation tree. We clarify how the machine types affect the computational patterns of one-tape linear-time Turing machines.
Source arXiv, cs.CC/0310046
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