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Crossing sequence (Turing machines)
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Crossing sequence (Turing machines) : ウィキペディア英語版
Crossing sequence (Turing machines)

In theoretical computer science, a crossing sequence at boundary ''i'', denoted as \mathcal_i(x) or sometimes cs(x,i), is the sequence of states q_,q_,...,q_, of a Turing machine on input x, such that in this sequence of states, the head crosses between cell ''i'' and ''i'' + 1 (note that the first crossing is always a right crossing, and the next left, and so on...)
Sometimes, crossing sequence is considered as the sequence of configurations, which represent the three elements: the states, the contents of the tapes and the positions of the heads.
Study of crossing sequences is carried out, e.g., in computational complexity theory.
==References==


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