Finite automata and their decision problems
IBM Journal of Research and Development
The reduction of two-way automata to one-way automata
IBM Journal of Research and Development
Deterministic moles cannot solve liveness
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Removing bidirectionality from nondeterministic finite automata
MFCS'05 Proceedings of the 30th international conference on Mathematical Foundations of Computer Science
DCFS'12 Proceedings of the 14th international conference on Descriptional Complexity of Formal Systems
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This correspondence presents an example of a two-way automaton which has significantly fewer states than any one-way automaton accepting the same set of tapes. Thus, in this particular case, memory space can be saved by using a two-way automaton. This savings in space, however, is accompanied by an increase in recognition time.