Finite Automata and Their Decision Problems

@article{Rabin1959FiniteAA,
  title={Finite Automata and Their Decision Problems},
  author={Michael O. Rabin and Dana S. Scott},
  journal={IBM J. Res. Dev.},
  year={1959},
  volume={3},
  pages={114-125}
}
Finite automata are considered in this paper as instruments for classifying finite tapes. [] Key Method Various generalizations of the notion of an automaton are introduced and their relation to the classical automata is determined. Some decision problems concerning automata are shown to be solvable by effective algorithms; others turn out to be unsolvable by algorithms.
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1,812 Citations
Highly Influential Citations
90
Background Citations
448
Methods Citations
222
Results Citations
10

1,812 Citations

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The equivalence problem for 2-tape deterministic finite automata was shown decidable by Bird in 1973, and it is shown that it is decidable for the restricted class of simple automata.
Finite Automata, Definable Sets, and Regular Expressions over omega^n-Tapes
  • Y. Choueka
  • Computer Science, Mathematics
    J. Comput. Syst. Sci.
  • 1978
Descriptional Complexity of Finite Automata: Concepts and Open Problems
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It is argued that if one wishes a renaissance of automata theory, then one should prefer to return to the investigation of the fundamental, classical problems of Automata theory rather then searching for new applications and defining numerous questionable modifications of basic models.
Equivalence of Infinite Behavior of Finite Automata
  • H. Alaiwan
  • Mathematics, Computer Science
    Theor. Comput. Sci.
  • 1984
SOME RESULTS ON REGULAR EXPRESSIONS FOR MULTITAPE FINITE AUTOMATA
  • T. Grigoryan
  • Computer Science, Mathematics
    Proceedings of the YSU A: Physical and Mathematical Sciences
  • 2019
TLDR
It is shown that the introduced algebra is a Kleene algebra and some known results for the algebra of events accepted by one-tape finite automata are valid in this case too.
Deterministic Input-Reversal and Input-Revolving Finite Automata
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It is shown that the family of languages accepted by deterministic right-revolving finite automata is an anti-AFL which is not closed under reversal and intersection.
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References

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