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- W1989657066 abstract "We study the relationship between the sizes of two-way finite automata accepting a language and its complement. In the deterministic case, for a given automaton (2dfa) with n states, we build an automaton accepting the complement with at most 4 n states, independently of the size of the input alphabet. Actually, we show a stronger result, by presenting an equivalent 4 n -state 2dfa that always halts. For the nondeterministic case, using a variant of inductive counting, we show that the complement of a unary language, accepted by an n -state two-way automaton (2nfa), can be accepted by an O ( n 8 )-state 2nfa. Here we also make 2nfa’s halting. This allows the simulation of unary 2nfa’s by probabilistic Las Vegas two-way automata with O ( n 8 ) states." @default.
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- W1989657066 date "2007-08-01" @default.
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- W1989657066 title "Complementing two-way finite automata" @default.
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- W1989657066 doi "https://doi.org/10.1016/j.ic.2007.01.008" @default.
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