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A topology for automata II

Author

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  • Arun K. Srivastava
  • Wagish Shukla

Abstract

A topology on the state set of an automaton is considered and it is shown that under this topology, genetically closed subsets and primaries, in the sense of Bavel [1] turn out to be precisely the regular closed subsets and minimal regular closed subsets respectively. The concept of a compact automaton is introduced and it is indicated that it can be viewed as a generalization of a finite automaton. Included also is an observation showing that our topological considerations can help recover some of the results of Dörfler [2].

Suggested Citation

  • Arun K. Srivastava & Wagish Shukla, 1986. "A topology for automata II," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 9, pages 1-4, January.
    • Handle: RePEc:hin:jijmms:640315
    DOI: 10.1155/S0161171286000546
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    Cited by:

    1. Priyanka Pal & S. P. Tiwari & Renu Verma, 2019. "Different Operators in Automata Theory Based on Residuated and Co-Residuated Lattices," New Mathematics and Natural Computation (NMNC), World Scientific Publishing Co. Pte. Ltd., vol. 15(01), pages 169-190, March.

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