Lower bounds on the size of sweeping automata

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A sweeping automaton is a deterministic two-way finite automaton which only changes head direction at the ends of the input tape. It is shown that for every n, there is a language which is accepted by an n-state nondeterministic one-way finite automaton, yet which is not accepted by any sweeping automaton with fewer than 2n states.

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论文评审过程:Received 20 October 1979, Revised 16 May 1980, Available online 2 December 2003.

论文官网地址:https://doi.org/10.1016/0022-0000(80)90034-3