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Complementing Two-Way Finite Automata
[chapter]
2005
Lecture Notes in Computer Science
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 4n states, independently of the size of the input alphabet. Actually, we show a stronger result, by presenting an equivalent 4n-state 2dfa that always halts. For the nondeterministic case, using a variant of inductive counting, we show that the complement
doi:10.1007/11505877_23
fatcat:2drvedou2ff5rpljrhya44dtri