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Acta Informatica

, Volume 51, Issue 5, pp 327–337 | Cite as

Controlled finite automata

  • Alexander Meduna
  • Petr Zemek
Original Article
  • 243 Downloads

Abstract

This paper discusses finite automata regulated by control languages over their states and transition rules. It proves that under both regulations, regular-controlled finite automata and context-free-controlled finite automata characterize the family of regular languages and the family of context-free languages, respectively. It also establishes conditions under which any state-controlled finite automaton can be turned into an equivalent transition-controlled finite automaton and vice versa. The paper also demonstrates a close relation between these automata and programmed grammars. Indeed, it proves that finite automata controlled by languages generated by propagating programmed grammars with appearance checking are computationally complete. In fact, it demonstrates that this computational completeness holds even in terms of these automata with a reduced number of states.

Keywords

Turing Machine Transitive Closure Regular Language Finite Automaton Derivation Step 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Notes

Acknowledgments

This work was supported by the following grants: MŠMT CZ1.1.00/02.0070 and TAČR TE01010415. The authors thank the anonymous referee for useful comments regarding the first version of this paper.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2014

Authors and Affiliations

  1. 1.Department of Information Systems, Faculty of Information Technology, IT4Innovations Centre of ExcellenceBrno University of TechnologyBrnoCzech Republic

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