One-way multi-head finite automata are considered towards their ability to perform reversible computations. It is shown that, for every number k ≥ 1 of heads, there are problems which can be solved by one-way k-head finite automata, but not by any one-way reversible k-head finite automaton. Additionally, a proper head hierarchy is obtained for one-way reversible multi-head finite automata. Finally, decidability problems are considered. It turns out that one-way reversible finite automata with two heads are still a powerful model, since almost all commonly studied problems are not even semidecidable. © 2013 Springer-Verlag Berlin Heidelberg.
CITATION STYLE
Kutrib, M., & Malcher, A. (2013). One-way reversible multi-head finite automata. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 7581 LNCS, pp. 14–28). Springer Verlag. https://doi.org/10.1007/978-3-642-36315-3_2
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