A topology for automata II

Arun K. Srivastava and Wagish Shukla

International Journal of Mathematics and Mathematical Sciences, 1986, vol. 9, 1-4

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].

Date: 1986
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:640315

DOI: 10.1155/S0161171286000546

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